id	sid	tid	token	lemma	pos
ejpam-6192	1	1	european	european	PROPN
ejpam-6192	1	2	journal	journal	PROPN
ejpam-6192	1	3	of	of	ADP
ejpam-6192	1	4	pure	pure	ADJ
ejpam-6192	1	5	and	and	CCONJ
ejpam-6192	1	6	applied	applied	ADJ
ejpam-6192	1	7	mathematics	mathematic	NOUN
ejpam-6192	1	8	2025	2025	NUM
ejpam-6192	1	9	,	,	PUNCT
ejpam-6192	1	10	vol	vol	NOUN
ejpam-6192	1	11	.	.	PROPN
ejpam-6192	1	12	18	18	NUM
ejpam-6192	1	13	,	,	PUNCT
ejpam-6192	1	14	issue	issue	NOUN
ejpam-6192	1	15	3	3	NUM
ejpam-6192	1	16	,	,	PUNCT
ejpam-6192	1	17	article	article	NOUN
ejpam-6192	1	18	number	number	NOUN
ejpam-6192	1	19	6192	6192	NUM
ejpam-6192	1	20	issn	issn	VERB
ejpam-6192	1	21	1307	1307	NUM
ejpam-6192	1	22	-	-	SYM
ejpam-6192	1	23	5543	5543	NUM
ejpam-6192	1	24	–	–	PUNCT
ejpam-6192	1	25	ejpam.com	ejpam.com	X
ejpam-6192	1	26	published	publish	VERB
ejpam-6192	1	27	by	by	ADP
ejpam-6192	1	28	new	new	PROPN
ejpam-6192	1	29	york	york	PROPN
ejpam-6192	1	30	business	business	PROPN
ejpam-6192	1	31	global	global	PROPN
ejpam-6192	1	32	a	a	DET
ejpam-6192	1	33	lattice	lattice	NOUN
ejpam-6192	1	34	boltzmann	boltzmann	PROPN
ejpam-6192	1	35	method	method	NOUN
ejpam-6192	1	36	for	for	ADP
ejpam-6192	1	37	image	image	NOUN
ejpam-6192	1	38	inpainting	inpainte	VERB
ejpam-6192	1	39	inspired	inspire	VERB
ejpam-6192	1	40	by	by	ADP
ejpam-6192	1	41	fluid	fluid	ADJ
ejpam-6192	1	42	dynamics	dynamic	NOUN
ejpam-6192	1	43	yassine	yassine	PROPN
ejpam-6192	1	44	douich1,∗	douich1,∗	PROPN
ejpam-6192	1	45	,	,	PUNCT
ejpam-6192	1	46	hassan	hassan	PROPN
ejpam-6192	1	47	silkan1	silkan1	AUX
ejpam-6192	1	48	,	,	PUNCT
ejpam-6192	1	49	youssef	youssef	PROPN
ejpam-6192	1	50	hanyf2	hanyf2	PROPN
ejpam-6192	1	51	1	1	NUM
ejpam-6192	1	52	department	department	NOUN
ejpam-6192	1	53	of	of	ADP
ejpam-6192	1	54	computer	computer	NOUN
ejpam-6192	1	55	science	science	NOUN
ejpam-6192	1	56	,	,	PUNCT
ejpam-6192	1	57	laboratory	laboratory	NOUN
ejpam-6192	1	58	laroseri	laroseri	PROPN
ejpam-6192	1	59	,	,	PUNCT
ejpam-6192	1	60	faculty	faculty	NOUN
ejpam-6192	1	61	of	of	ADP
ejpam-6192	1	62	sciences	science	NOUN
ejpam-6192	1	63	,	,	PUNCT
ejpam-6192	1	64	chouaib	chouaib	NOUN
ejpam-6192	1	65	doukkali	doukkali	PROPN
ejpam-6192	1	66	university	university	PROPN
ejpam-6192	1	67	,	,	PUNCT
ejpam-6192	1	68	el	el	PROPN
ejpam-6192	1	69	jadida	jadida	PROPN
ejpam-6192	1	70	,	,	PUNCT
ejpam-6192	1	71	morocco	morocco	PROPN
ejpam-6192	1	72	2	2	NUM
ejpam-6192	1	73	research	research	NOUN
ejpam-6192	1	74	laboratory	laboratory	NOUN
ejpam-6192	1	75	in	in	ADP
ejpam-6192	1	76	management	management	NOUN
ejpam-6192	1	77	and	and	CCONJ
ejpam-6192	1	78	decision	decision	NOUN
ejpam-6192	1	79	support	support	NOUN
ejpam-6192	1	80	,	,	PUNCT
ejpam-6192	1	81	ai	ai	VERB
ejpam-6192	1	82	data	data	NOUN
ejpam-6192	1	83	seed	seed	NOUN
ejpam-6192	1	84	team	team	NOUN
ejpam-6192	1	85	,	,	PUNCT
ejpam-6192	1	86	ibn	ibn	PROPN
ejpam-6192	1	87	zohr	zohr	NOUN
ejpam-6192	1	88	university	university	PROPN
ejpam-6192	1	89	,	,	PUNCT
ejpam-6192	1	90	dakhla	dakhla	PROPN
ejpam-6192	1	91	,	,	PUNCT
ejpam-6192	1	92	morocco	morocco	PROPN
ejpam-6192	1	93	abstract	abstract	NOUN
ejpam-6192	1	94	.	.	PUNCT
ejpam-6192	2	1	this	this	DET
ejpam-6192	2	2	paper	paper	NOUN
ejpam-6192	2	3	presents	present	VERB
ejpam-6192	2	4	a	a	DET
ejpam-6192	2	5	novel	novel	ADJ
ejpam-6192	2	6	image	image	NOUN
ejpam-6192	2	7	inpainting	inpainte	VERB
ejpam-6192	2	8	algorithm	algorithm	NOUN
ejpam-6192	2	9	based	base	VERB
ejpam-6192	2	10	on	on	ADP
ejpam-6192	2	11	the	the	DET
ejpam-6192	2	12	lattice	lattice	PROPN
ejpam-6192	2	13	boltzmann	boltzmann	PROPN
ejpam-6192	2	14	method	method	PROPN
ejpam-6192	2	15	(	(	PUNCT
ejpam-6192	2	16	lbm	lbm	PROPN
ejpam-6192	2	17	)	)	PUNCT
ejpam-6192	2	18	,	,	PUNCT
ejpam-6192	2	19	inspired	inspire	VERB
ejpam-6192	2	20	by	by	ADP
ejpam-6192	2	21	the	the	DET
ejpam-6192	2	22	vorticity	vorticity	NOUN
ejpam-6192	2	23	-	-	PUNCT
ejpam-6192	2	24	stream	stream	NOUN
ejpam-6192	2	25	formulation	formulation	NOUN
ejpam-6192	2	26	of	of	ADP
ejpam-6192	2	27	the	the	DET
ejpam-6192	2	28	navier	navier	NOUN
ejpam-6192	2	29	-	-	PUNCT
ejpam-6192	2	30	stokes	stoke	NOUN
ejpam-6192	2	31	equations	equation	NOUN
ejpam-6192	2	32	.	.	PUNCT
ejpam-6192	3	1	the	the	DET
ejpam-6192	3	2	proposed	propose	VERB
ejpam-6192	3	3	method	method	NOUN
ejpam-6192	3	4	,	,	PUNCT
ejpam-6192	3	5	employing	employ	VERB
ejpam-6192	3	6	d2q5	d2q5	PROPN
ejpam-6192	3	7	and	and	CCONJ
ejpam-6192	3	8	d2q9	d2q9	ADP
ejpam-6192	3	9	lattice	lattice	NOUN
ejpam-6192	3	10	models	model	NOUN
ejpam-6192	3	11	,	,	PUNCT
ejpam-6192	3	12	effectively	effectively	ADV
ejpam-6192	3	13	reconstructs	reconstruct	VERB
ejpam-6192	3	14	missing	missing	ADJ
ejpam-6192	3	15	or	or	CCONJ
ejpam-6192	3	16	damaged	damage	VERB
ejpam-6192	3	17	image	image	NOUN
ejpam-6192	3	18	regions	region	NOUN
ejpam-6192	3	19	by	by	ADP
ejpam-6192	3	20	propagating	propagate	VERB
ejpam-6192	3	21	smoothness	smoothness	ADJ
ejpam-6192	3	22	information	information	NOUN
ejpam-6192	3	23	along	along	ADP
ejpam-6192	3	24	isophote	isophote	ADJ
ejpam-6192	3	25	directions	direction	NOUN
ejpam-6192	3	26	.	.	PUNCT
ejpam-6192	4	1	experimental	experimental	ADJ
ejpam-6192	4	2	evaluations	evaluation	NOUN
ejpam-6192	4	3	demonstrate	demonstrate	VERB
ejpam-6192	4	4	that	that	SCONJ
ejpam-6192	4	5	lbm	lbm	PROPN
ejpam-6192	4	6	achieves	achieve	VERB
ejpam-6192	4	7	superior	superior	ADJ
ejpam-6192	4	8	results	result	NOUN
ejpam-6192	4	9	in	in	ADP
ejpam-6192	4	10	terms	term	NOUN
ejpam-6192	4	11	of	of	ADP
ejpam-6192	4	12	psnr	psnr	NOUN
ejpam-6192	4	13	,	,	PUNCT
ejpam-6192	4	14	ssim	ssim	NOUN
ejpam-6192	4	15	,	,	PUNCT
ejpam-6192	4	16	and	and	CCONJ
ejpam-6192	4	17	reduced	reduce	VERB
ejpam-6192	4	18	cpu	cpu	NOUN
ejpam-6192	4	19	time	time	NOUN
ejpam-6192	4	20	compared	compare	VERB
ejpam-6192	4	21	to	to	ADP
ejpam-6192	4	22	classical	classical	ADJ
ejpam-6192	4	23	inpainting	inpainting	ADJ
ejpam-6192	4	24	techniques	technique	NOUN
ejpam-6192	4	25	,	,	PUNCT
ejpam-6192	4	26	such	such	ADJ
ejpam-6192	4	27	as	as	ADP
ejpam-6192	4	28	total	total	ADJ
ejpam-6192	4	29	variation	variation	NOUN
ejpam-6192	4	30	(	(	PUNCT
ejpam-6192	4	31	tv	tv	NOUN
ejpam-6192	4	32	)	)	PUNCT
ejpam-6192	4	33	regularisation	regularisation	NOUN
ejpam-6192	4	34	and	and	CCONJ
ejpam-6192	4	35	the	the	DET
ejpam-6192	4	36	bertalmio	bertalmio	NOUN
ejpam-6192	4	37	-	-	PUNCT
ejpam-6192	4	38	sapiro	sapiro	NOUN
ejpam-6192	4	39	-	-	PUNCT
ejpam-6192	4	40	caselles	caselle	NOUN
ejpam-6192	4	41	-	-	PUNCT
ejpam-6192	4	42	ballaster	ballaster	NOUN
ejpam-6192	4	43	(	(	PUNCT
ejpam-6192	4	44	bscb	bscb	ADJ
ejpam-6192	4	45	)	)	PUNCT
ejpam-6192	4	46	algorithm	algorithm	NOUN
ejpam-6192	4	47	.	.	PUNCT
ejpam-6192	5	1	the	the	DET
ejpam-6192	5	2	method	method	NOUN
ejpam-6192	5	3	’s	’s	PART
ejpam-6192	5	4	efficiency	efficiency	NOUN
ejpam-6192	5	5	in	in	ADP
ejpam-6192	5	6	handling	handle	VERB
ejpam-6192	5	7	complex	complex	ADJ
ejpam-6192	5	8	boundary	boundary	ADJ
ejpam-6192	5	9	conditions	condition	NOUN
ejpam-6192	5	10	and	and	CCONJ
ejpam-6192	5	11	preserving	preserve	VERB
ejpam-6192	5	12	image	image	NOUN
ejpam-6192	5	13	details	detail	NOUN
ejpam-6192	5	14	highlights	highlight	VERB
ejpam-6192	5	15	its	its	PRON
ejpam-6192	5	16	robustness	robustness	NOUN
ejpam-6192	5	17	for	for	ADP
ejpam-6192	5	18	advanced	advanced	ADJ
ejpam-6192	5	19	image	image	NOUN
ejpam-6192	5	20	restoration	restoration	NOUN
ejpam-6192	5	21	tasks	task	NOUN
ejpam-6192	5	22	.	.	PUNCT
ejpam-6192	6	1	2020	2020	NUM
ejpam-6192	6	2	mathematics	mathematic	NOUN
ejpam-6192	6	3	subject	subject	NOUN
ejpam-6192	6	4	classifications	classification	NOUN
ejpam-6192	6	5	:	:	PUNCT
ejpam-6192	6	6	65n20	65n20	NUM
ejpam-6192	6	7	,	,	PUNCT
ejpam-6192	6	8	76	76	NUM
ejpam-6192	6	9	-	-	PUNCT
ejpam-6192	6	10	xx	xx	NUM
ejpam-6192	6	11	key	key	ADJ
ejpam-6192	6	12	words	word	NOUN
ejpam-6192	6	13	and	and	CCONJ
ejpam-6192	6	14	phrases	phrase	NOUN
ejpam-6192	6	15	:	:	PUNCT
ejpam-6192	6	16	lbm	lbm	NOUN
ejpam-6192	6	17	inpainting	inpainting	NOUN
ejpam-6192	6	18	,	,	PUNCT
ejpam-6192	6	19	navier	navier	NOUN
ejpam-6192	6	20	-	-	PUNCT
ejpam-6192	6	21	stokes	stoke	NOUN
ejpam-6192	6	22	inpainting	inpainting	NOUN
ejpam-6192	6	23	,	,	PUNCT
ejpam-6192	6	24	image	image	NOUN
ejpam-6192	6	25	reconstruction	reconstruction	NOUN
ejpam-6192	6	26	,	,	PUNCT
ejpam-6192	6	27	edge	edge	NOUN
ejpam-6192	6	28	-	-	PUNCT
ejpam-6192	6	29	preserving	preserve	VERB
ejpam-6192	6	30	diffusion	diffusion	NOUN
ejpam-6192	6	31	,	,	PUNCT
ejpam-6192	6	32	vorticity	vorticity	NOUN
ejpam-6192	6	33	-	-	PUNCT
ejpam-6192	6	34	stream	stream	NOUN
ejpam-6192	6	35	function	function	NOUN
ejpam-6192	6	36	1	1	NUM
ejpam-6192	6	37	.	.	PUNCT
ejpam-6192	7	1	introduction	introduction	NOUN
ejpam-6192	7	2	image	image	NOUN
ejpam-6192	7	3	inpainting	inpainte	VERB
ejpam-6192	7	4	plays	play	VERB
ejpam-6192	7	5	a	a	DET
ejpam-6192	7	6	crucial	crucial	ADJ
ejpam-6192	7	7	role	role	NOUN
ejpam-6192	7	8	in	in	ADP
ejpam-6192	7	9	image	image	NOUN
ejpam-6192	7	10	restoration	restoration	NOUN
ejpam-6192	7	11	,	,	PUNCT
ejpam-6192	7	12	aiming	aim	VERB
ejpam-6192	7	13	to	to	PART
ejpam-6192	7	14	accurately	accurately	ADV
ejpam-6192	7	15	and	and	CCONJ
ejpam-6192	7	16	seamlessly	seamlessly	ADV
ejpam-6192	7	17	fill	fill	VERB
ejpam-6192	7	18	in	in	ADP
ejpam-6192	7	19	missing	missing	ADJ
ejpam-6192	7	20	or	or	CCONJ
ejpam-6192	7	21	damaged	damaged	ADJ
ejpam-6192	7	22	regions	region	NOUN
ejpam-6192	7	23	of	of	ADP
ejpam-6192	7	24	an	an	DET
ejpam-6192	7	25	image	image	NOUN
ejpam-6192	7	26	.	.	PUNCT
ejpam-6192	8	1	it	it	PRON
ejpam-6192	8	2	is	be	AUX
ejpam-6192	8	3	widely	widely	ADV
ejpam-6192	8	4	used	use	VERB
ejpam-6192	8	5	for	for	ADP
ejpam-6192	8	6	tasks	task	NOUN
ejpam-6192	8	7	such	such	ADJ
ejpam-6192	8	8	as	as	ADP
ejpam-6192	8	9	removing	remove	VERB
ejpam-6192	8	10	unwanted	unwanted	ADJ
ejpam-6192	8	11	objects	object	NOUN
ejpam-6192	8	12	,	,	PUNCT
ejpam-6192	8	13	repairing	repair	VERB
ejpam-6192	8	14	degraded	degraded	ADJ
ejpam-6192	8	15	images	image	NOUN
ejpam-6192	8	16	,	,	PUNCT
ejpam-6192	8	17	and	and	CCONJ
ejpam-6192	8	18	correcting	correct	VERB
ejpam-6192	8	19	issues	issue	NOUN
ejpam-6192	8	20	like	like	ADP
ejpam-6192	8	21	cracks	crack	NOUN
ejpam-6192	8	22	,	,	PUNCT
ejpam-6192	8	23	scratches	scratch	NOUN
ejpam-6192	8	24	,	,	PUNCT
ejpam-6192	8	25	stains	stain	NOUN
ejpam-6192	8	26	,	,	PUNCT
ejpam-6192	8	27	and	and	CCONJ
ejpam-6192	8	28	red	red	ADJ
ejpam-6192	8	29	-	-	PUNCT
ejpam-6192	8	30	eye	eye	NOUN
ejpam-6192	8	31	effects	effect	NOUN
ejpam-6192	8	32	.	.	PUNCT
ejpam-6192	9	1	the	the	DET
ejpam-6192	9	2	lattice	lattice	PROPN
ejpam-6192	9	3	boltzmann	boltzmann	PROPN
ejpam-6192	9	4	method	method	PROPN
ejpam-6192	9	5	(	(	PUNCT
ejpam-6192	9	6	lbm	lbm	PROPN
ejpam-6192	9	7	)	)	PUNCT
ejpam-6192	9	8	,	,	PUNCT
ejpam-6192	9	9	grounded	ground	VERB
ejpam-6192	9	10	in	in	ADP
ejpam-6192	9	11	the	the	DET
ejpam-6192	9	12	principles	principle	NOUN
ejpam-6192	9	13	of	of	ADP
ejpam-6192	9	14	microscopic	microscopic	ADJ
ejpam-6192	9	15	statistical	statistical	ADJ
ejpam-6192	9	16	physics	physics	NOUN
ejpam-6192	9	17	,	,	PUNCT
ejpam-6192	9	18	has	have	AUX
ejpam-6192	9	19	emerged	emerge	VERB
ejpam-6192	9	20	as	as	ADP
ejpam-6192	9	21	an	an	DET
ejpam-6192	9	22	effective	effective	ADJ
ejpam-6192	9	23	approach	approach	NOUN
ejpam-6192	9	24	for	for	ADP
ejpam-6192	9	25	simulating	simulate	VERB
ejpam-6192	9	26	fluid	fluid	ADJ
ejpam-6192	9	27	flows	flow	NOUN
ejpam-6192	9	28	and	and	CCONJ
ejpam-6192	9	29	capturing	capture	VERB
ejpam-6192	9	30	complex	complex	ADJ
ejpam-6192	9	31	fluid	fluid	ADJ
ejpam-6192	9	32	behavior	behavior	NOUN
ejpam-6192	9	33	.	.	PUNCT
ejpam-6192	10	1	unlike	unlike	ADP
ejpam-6192	10	2	traditional	traditional	ADJ
ejpam-6192	10	3	fluid	fluid	ADJ
ejpam-6192	10	4	dynamics	dynamic	NOUN
ejpam-6192	10	5	solvers	solver	NOUN
ejpam-6192	10	6	,	,	PUNCT
ejpam-6192	10	7	lbm	lbm	PROPN
ejpam-6192	10	8	offers	offer	VERB
ejpam-6192	10	9	a	a	DET
ejpam-6192	10	10	more	more	ADV
ejpam-6192	10	11	straightforward	straightforward	ADJ
ejpam-6192	10	12	programming	programming	NOUN
ejpam-6192	10	13	model	model	NOUN
ejpam-6192	10	14	by	by	ADP
ejpam-6192	10	15	simulating	simulate	VERB
ejpam-6192	10	16	particle	particle	NOUN
ejpam-6192	10	17	interactions	interaction	NOUN
ejpam-6192	10	18	and	and	CCONJ
ejpam-6192	10	19	deriving	derive	VERB
ejpam-6192	10	20	partial	partial	ADJ
ejpam-6192	10	21	differential	differential	ADJ
ejpam-6192	10	22	equations	equation	NOUN
ejpam-6192	10	23	(	(	PUNCT
ejpam-6192	10	24	pdes	pde	NOUN
ejpam-6192	10	25	)	)	PUNCT
ejpam-6192	10	26	through	through	ADP
ejpam-6192	10	27	moment	moment	NOUN
ejpam-6192	10	28	operations	operation	NOUN
ejpam-6192	10	29	on	on	ADP
ejpam-6192	10	30	particle	particle	NOUN
ejpam-6192	10	31	distributions	distribution	NOUN
ejpam-6192	10	32	.	.	PUNCT
ejpam-6192	11	1	although	although	SCONJ
ejpam-6192	11	2	lbm	lbm	PROPN
ejpam-6192	11	3	’s	’s	PART
ejpam-6192	11	4	application	application	NOUN
ejpam-6192	11	5	in	in	ADP
ejpam-6192	11	6	image	image	NOUN
ejpam-6192	11	7	processing	processing	NOUN
ejpam-6192	11	8	is	be	AUX
ejpam-6192	11	9	relatively	relatively	ADV
ejpam-6192	11	10	recent	recent	ADJ
ejpam-6192	11	11	,	,	PUNCT
ejpam-6192	11	12	its	its	PRON
ejpam-6192	11	13	precursor	precursor	NOUN
ejpam-6192	11	14	,	,	PUNCT
ejpam-6192	11	15	cellular	cellular	ADJ
ejpam-6192	11	16	∗corresponding	∗corresponde	VERB
ejpam-6192	11	17	author	author	NOUN
ejpam-6192	11	18	.	.	PUNCT
ejpam-6192	12	1	doi	doi	NOUN
ejpam-6192	12	2	:	:	PUNCT
ejpam-6192	12	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6192	https://doi.org/10.29020/nybg.ejpam.v18i3.6192	X
ejpam-6192	12	4	email	email	NOUN
ejpam-6192	12	5	addresses	address	NOUN
ejpam-6192	12	6	:	:	PUNCT
ejpam-6192	12	7	y.douich@ucd.ac.ma	y.douich@ucd.ac.ma	PROPN
ejpam-6192	12	8	(	(	PUNCT
ejpam-6192	12	9	y.	y.	PROPN
ejpam-6192	12	10	douich	douich	PROPN
ejpam-6192	12	11	)	)	PUNCT
ejpam-6192	12	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6192	13	1	1	1	NUM
ejpam-6192	13	2	copyright	copyright	NOUN
ejpam-6192	13	3	:	:	PUNCT
ejpam-6192	13	4	©	©	PROPN
ejpam-6192	13	5	2025	2025	NUM
ejpam-6192	13	6	the	the	DET
ejpam-6192	13	7	author(s	author(s	NOUN
ejpam-6192	13	8	)	)	PUNCT
ejpam-6192	13	9	.	.	PUNCT
ejpam-6192	14	1	(	(	PUNCT
ejpam-6192	14	2	cc	cc	NOUN
ejpam-6192	14	3	by	by	ADP
ejpam-6192	14	4	-	-	PUNCT
ejpam-6192	14	5	nc	nc	PROPN
ejpam-6192	14	6	4.0	4.0	NUM
ejpam-6192	14	7	)	)	PUNCT
ejpam-6192	14	8	y.	y.	NOUN
ejpam-6192	14	9	douich	douich	PROPN
ejpam-6192	14	10	et	et	PROPN
ejpam-6192	15	1	al	al	PROPN
ejpam-6192	15	2	.	.	PUNCT
ejpam-6192	15	3	/	/	SYM
ejpam-6192	15	4	eur	eur	PROPN
ejpam-6192	15	5	.	.	PUNCT
ejpam-6192	16	1	j.	j.	PROPN
ejpam-6192	16	2	pure	pure	PROPN
ejpam-6192	16	3	appl	appl	PROPN
ejpam-6192	16	4	.	.	PROPN
ejpam-6192	16	5	math	math	PROPN
ejpam-6192	16	6	,	,	PUNCT
ejpam-6192	16	7	18	18	NUM
ejpam-6192	16	8	(	(	PUNCT
ejpam-6192	16	9	3	3	NUM
ejpam-6192	16	10	)	)	PUNCT
ejpam-6192	16	11	(	(	PUNCT
ejpam-6192	16	12	2025	2025	NUM
ejpam-6192	16	13	)	)	PUNCT
ejpam-6192	16	14	,	,	PUNCT
ejpam-6192	16	15	6192	6192	NUM
ejpam-6192	16	16	2	2	NUM
ejpam-6192	16	17	of	of	ADP
ejpam-6192	16	18	32	32	NUM
ejpam-6192	16	19	automata	automata	NOUN
ejpam-6192	16	20	,	,	PUNCT
ejpam-6192	16	21	has	have	AUX
ejpam-6192	16	22	been	be	AUX
ejpam-6192	16	23	extensively	extensively	ADV
ejpam-6192	16	24	applied	apply	VERB
ejpam-6192	16	25	in	in	ADP
ejpam-6192	16	26	this	this	DET
ejpam-6192	16	27	field	field	NOUN
ejpam-6192	16	28	.	.	PUNCT
ejpam-6192	17	1	notable	notable	ADJ
ejpam-6192	17	2	examples	example	NOUN
ejpam-6192	17	3	include	include	VERB
ejpam-6192	17	4	studies	study	NOUN
ejpam-6192	17	5	by	by	ADP
ejpam-6192	17	6	preston	preston	PROPN
ejpam-6192	17	7	et	et	PROPN
ejpam-6192	17	8	al	al	PROPN
ejpam-6192	17	9	.	.	PUNCT
ejpam-6192	18	1	[	[	X
ejpam-6192	18	2	1	1	NUM
ejpam-6192	18	3	]	]	PUNCT
ejpam-6192	18	4	,	,	PUNCT
ejpam-6192	18	5	hernandez	hernandez	PROPN
ejpam-6192	18	6	et	et	PROPN
ejpam-6192	18	7	al	al	PROPN
ejpam-6192	18	8	.	.	PUNCT
ejpam-6192	19	1	[	[	X
ejpam-6192	19	2	2	2	NUM
ejpam-6192	19	3	]	]	PUNCT
ejpam-6192	19	4	,	,	PUNCT
ejpam-6192	19	5	popovici	popovici	INTJ
ejpam-6192	19	6	et	et	PROPN
ejpam-6192	19	7	al	al	PROPN
ejpam-6192	19	8	.	.	PUNCT
ejpam-6192	20	1	[	[	X
ejpam-6192	20	2	3	3	NUM
ejpam-6192	20	3	]	]	PUNCT
ejpam-6192	20	4	,	,	PUNCT
ejpam-6192	20	5	wongthanavasu	wongthanavasu	PROPN
ejpam-6192	20	6	et	et	PROPN
ejpam-6192	20	7	al	al	PROPN
ejpam-6192	20	8	.	.	PUNCT
ejpam-6192	21	1	[	[	X
ejpam-6192	21	2	4	4	NUM
ejpam-6192	21	3	]	]	PUNCT
ejpam-6192	21	4	,	,	PUNCT
ejpam-6192	21	5	and	and	CCONJ
ejpam-6192	21	6	rosin	rosin	VERB
ejpam-6192	21	7	[	[	X
ejpam-6192	21	8	5	5	NUM
ejpam-6192	21	9	]	]	PUNCT
ejpam-6192	21	10	,	,	PUNCT
ejpam-6192	21	11	which	which	PRON
ejpam-6192	21	12	primarily	primarily	ADV
ejpam-6192	21	13	target	target	VERB
ejpam-6192	21	14	binary	binary	ADJ
ejpam-6192	21	15	image	image	NOUN
ejpam-6192	21	16	processing	processing	NOUN
ejpam-6192	21	17	due	due	ADP
ejpam-6192	21	18	to	to	ADP
ejpam-6192	21	19	the	the	DET
ejpam-6192	21	20	challenges	challenge	NOUN
ejpam-6192	21	21	in	in	ADP
ejpam-6192	21	22	designing	design	VERB
ejpam-6192	21	23	cellular	cellular	ADJ
ejpam-6192	21	24	automata	automata	NOUN
ejpam-6192	21	25	rules	rule	NOUN
ejpam-6192	21	26	for	for	ADP
ejpam-6192	21	27	256	256	NUM
ejpam-6192	21	28	gray	gray	ADJ
ejpam-6192	21	29	-	-	PUNCT
ejpam-6192	21	30	level	level	NOUN
ejpam-6192	21	31	images	image	NOUN
ejpam-6192	21	32	.	.	PUNCT
ejpam-6192	22	1	lbm	lbm	PROPN
ejpam-6192	22	2	,	,	PUNCT
ejpam-6192	22	3	however	however	ADV
ejpam-6192	22	4	,	,	PUNCT
ejpam-6192	22	5	does	do	AUX
ejpam-6192	22	6	not	not	PART
ejpam-6192	22	7	face	face	VERB
ejpam-6192	22	8	this	this	DET
ejpam-6192	22	9	restriction	restriction	NOUN
ejpam-6192	22	10	,	,	PUNCT
ejpam-6192	22	11	and	and	CCONJ
ejpam-6192	22	12	it	it	PRON
ejpam-6192	22	13	has	have	AUX
ejpam-6192	22	14	been	be	AUX
ejpam-6192	22	15	used	use	VERB
ejpam-6192	22	16	to	to	PART
ejpam-6192	22	17	solve	solve	VERB
ejpam-6192	22	18	equations	equation	NOUN
ejpam-6192	22	19	such	such	ADJ
ejpam-6192	22	20	as	as	ADP
ejpam-6192	22	21	the	the	DET
ejpam-6192	22	22	diffusion	diffusion	NOUN
ejpam-6192	22	23	and	and	CCONJ
ejpam-6192	22	24	diffusion	diffusion	NOUN
ejpam-6192	22	25	-	-	PUNCT
ejpam-6192	22	26	convection	convection	NOUN
ejpam-6192	22	27	equations	equation	NOUN
ejpam-6192	22	28	,	,	PUNCT
ejpam-6192	22	29	simplifying	simplify	VERB
ejpam-6192	22	30	rule	rule	NOUN
ejpam-6192	22	31	design	design	NOUN
ejpam-6192	22	32	for	for	ADP
ejpam-6192	22	33	processing	processing	NOUN
ejpam-6192	22	34	images	image	NOUN
ejpam-6192	22	35	with	with	ADP
ejpam-6192	22	36	256	256	NUM
ejpam-6192	22	37	gray	gray	ADJ
ejpam-6192	22	38	levels	level	NOUN
ejpam-6192	22	39	.	.	PUNCT
ejpam-6192	23	1	the	the	DET
ejpam-6192	23	2	lattice	lattice	PROPN
ejpam-6192	23	3	boltzmann	boltzmann	PROPN
ejpam-6192	23	4	method	method	PROPN
ejpam-6192	23	5	(	(	PUNCT
ejpam-6192	23	6	lbm	lbm	PROPN
ejpam-6192	23	7	)	)	PUNCT
ejpam-6192	23	8	has	have	AUX
ejpam-6192	23	9	shown	show	VERB
ejpam-6192	23	10	great	great	ADJ
ejpam-6192	23	11	promise	promise	NOUN
ejpam-6192	23	12	in	in	ADP
ejpam-6192	23	13	image	image	NOUN
ejpam-6192	23	14	processing	processing	NOUN
ejpam-6192	23	15	.	.	PUNCT
ejpam-6192	24	1	jawerth	jawerth	NOUN
ejpam-6192	24	2	et	et	PROPN
ejpam-6192	24	3	al	al	PROPN
ejpam-6192	24	4	.	.	PROPN
ejpam-6192	25	1	(	(	PUNCT
ejpam-6192	25	2	1999	1999	NUM
ejpam-6192	25	3	)	)	PUNCT
ejpam-6192	25	4	applied	apply	VERB
ejpam-6192	25	5	lbm	lbm	PROPN
ejpam-6192	25	6	to	to	ADP
ejpam-6192	25	7	anisotropic	anisotropic	NOUN
ejpam-6192	25	8	diffusion	diffusion	NOUN
ejpam-6192	25	9	using	use	VERB
ejpam-6192	25	10	the	the	DET
ejpam-6192	25	11	perona	perona	NOUN
ejpam-6192	25	12	–	–	PUNCT
ejpam-6192	25	13	malik	malik	PROPN
ejpam-6192	25	14	model	model	NOUN
ejpam-6192	26	1	[	[	X
ejpam-6192	26	2	6	6	NUM
ejpam-6192	26	3	]	]	PUNCT
ejpam-6192	26	4	,	,	PUNCT
ejpam-6192	26	5	followed	follow	VERB
ejpam-6192	26	6	by	by	ADP
ejpam-6192	26	7	our	our	PRON
ejpam-6192	26	8	2008	2008	NUM
ejpam-6192	26	9	study	study	NOUN
ejpam-6192	26	10	[	[	X
ejpam-6192	26	11	6	6	NUM
ejpam-6192	26	12	,	,	PUNCT
ejpam-6192	26	13	7	7	NUM
ejpam-6192	26	14	]	]	PUNCT
ejpam-6192	26	15	,	,	PUNCT
ejpam-6192	26	16	and	and	CCONJ
ejpam-6192	26	17	chang	chang	PROPN
ejpam-6192	26	18	’s	’s	PART
ejpam-6192	26	19	work	work	NOUN
ejpam-6192	26	20	on	on	ADP
ejpam-6192	26	21	denoising	denoise	VERB
ejpam-6192	26	22	[	[	X
ejpam-6192	26	23	8	8	NUM
ejpam-6192	26	24	]	]	PUNCT
ejpam-6192	26	25	.	.	PUNCT
ejpam-6192	27	1	in	in	ADP
ejpam-6192	27	2	this	this	DET
ejpam-6192	27	3	paper	paper	NOUN
ejpam-6192	27	4	,	,	PUNCT
ejpam-6192	27	5	we	we	PRON
ejpam-6192	27	6	propose	propose	VERB
ejpam-6192	27	7	a	a	DET
ejpam-6192	27	8	new	new	ADJ
ejpam-6192	27	9	lbm	lbm	NOUN
ejpam-6192	27	10	framework	framework	NOUN
ejpam-6192	27	11	for	for	ADP
ejpam-6192	27	12	image	image	NOUN
ejpam-6192	27	13	inpainting	inpainte	VERB
ejpam-6192	27	14	based	base	VERB
ejpam-6192	27	15	on	on	ADP
ejpam-6192	27	16	the	the	DET
ejpam-6192	27	17	vorticity	vorticity	NOUN
ejpam-6192	27	18	–	–	PUNCT
ejpam-6192	27	19	stream	stream	NOUN
ejpam-6192	27	20	formulation	formulation	NOUN
ejpam-6192	27	21	of	of	ADP
ejpam-6192	27	22	the	the	DET
ejpam-6192	27	23	navier	navier	NOUN
ejpam-6192	27	24	–	–	PUNCT
ejpam-6192	27	25	stokes	stoke	NOUN
ejpam-6192	27	26	equations	equation	NOUN
ejpam-6192	27	27	,	,	PUNCT
ejpam-6192	27	28	treating	treat	VERB
ejpam-6192	27	29	the	the	DET
ejpam-6192	27	30	image	image	NOUN
ejpam-6192	27	31	as	as	ADP
ejpam-6192	27	32	a	a	DET
ejpam-6192	27	33	fluid	fluid	ADJ
ejpam-6192	27	34	medium	medium	NOUN
ejpam-6192	27	35	.	.	PUNCT
ejpam-6192	28	1	our	our	PRON
ejpam-6192	28	2	method	method	NOUN
ejpam-6192	28	3	couples	couple	NOUN
ejpam-6192	28	4	two	two	NUM
ejpam-6192	28	5	lbm	lbm	NOUN
ejpam-6192	28	6	schemes	scheme	NOUN
ejpam-6192	28	7	for	for	ADP
ejpam-6192	28	8	vorticity	vorticity	NOUN
ejpam-6192	28	9	transport	transport	NOUN
ejpam-6192	28	10	and	and	CCONJ
ejpam-6192	28	11	intensity	intensity	NOUN
ejpam-6192	28	12	evolution	evolution	NOUN
ejpam-6192	28	13	,	,	PUNCT
ejpam-6192	28	14	incorporates	incorporate	VERB
ejpam-6192	28	15	adaptive	adaptive	ADJ
ejpam-6192	28	16	anisotropic	anisotropic	NOUN
ejpam-6192	28	17	diffusion	diffusion	NOUN
ejpam-6192	28	18	for	for	ADP
ejpam-6192	28	19	edge	edge	NOUN
ejpam-6192	28	20	preservation	preservation	NOUN
ejpam-6192	28	21	,	,	PUNCT
ejpam-6192	28	22	and	and	CCONJ
ejpam-6192	28	23	uses	use	VERB
ejpam-6192	28	24	non	non	ADJ
ejpam-6192	28	25	-	-	ADJ
ejpam-6192	28	26	equilibrium	equilibrium	ADJ
ejpam-6192	28	27	boundary	boundary	ADJ
ejpam-6192	28	28	conditions	condition	NOUN
ejpam-6192	28	29	to	to	PART
ejpam-6192	28	30	handle	handle	VERB
ejpam-6192	28	31	complex	complex	ADJ
ejpam-6192	28	32	contours	contour	NOUN
ejpam-6192	28	33	.	.	PUNCT
ejpam-6192	29	1	the	the	DET
ejpam-6192	29	2	main	main	ADJ
ejpam-6192	29	3	contribution	contribution	NOUN
ejpam-6192	29	4	is	be	AUX
ejpam-6192	29	5	a	a	DET
ejpam-6192	29	6	fast	fast	ADJ
ejpam-6192	29	7	,	,	PUNCT
ejpam-6192	29	8	robust	robust	ADJ
ejpam-6192	29	9	lbm	lbm	NOUN
ejpam-6192	29	10	scheme	scheme	NOUN
ejpam-6192	29	11	tailored	tailor	VERB
ejpam-6192	29	12	for	for	ADP
ejpam-6192	29	13	inpainting	inpainte	VERB
ejpam-6192	29	14	,	,	PUNCT
ejpam-6192	29	15	delivering	deliver	VERB
ejpam-6192	29	16	coherent	coherent	ADJ
ejpam-6192	29	17	and	and	CCONJ
ejpam-6192	29	18	high	high	ADJ
ejpam-6192	29	19	-	-	PUNCT
ejpam-6192	29	20	quality	quality	NOUN
ejpam-6192	29	21	restorations	restoration	NOUN
ejpam-6192	29	22	beyond	beyond	ADP
ejpam-6192	29	23	traditional	traditional	ADJ
ejpam-6192	29	24	methods	method	NOUN
ejpam-6192	29	25	.	.	PUNCT
ejpam-6192	30	1	this	this	DET
ejpam-6192	30	2	work	work	NOUN
ejpam-6192	30	3	is	be	AUX
ejpam-6192	30	4	structured	structure	VERB
ejpam-6192	30	5	as	as	SCONJ
ejpam-6192	30	6	follows	follow	VERB
ejpam-6192	30	7	:	:	PUNCT
ejpam-6192	30	8	section	section	NOUN
ejpam-6192	30	9	2	2	NUM
ejpam-6192	30	10	reviews	review	NOUN
ejpam-6192	30	11	related	relate	VERB
ejpam-6192	30	12	work	work	NOUN
ejpam-6192	30	13	in	in	ADP
ejpam-6192	30	14	image	image	NOUN
ejpam-6192	30	15	inpainting	inpainte	VERB
ejpam-6192	30	16	,	,	PUNCT
ejpam-6192	30	17	categorizing	categorize	VERB
ejpam-6192	30	18	methods	method	NOUN
ejpam-6192	30	19	into	into	ADP
ejpam-6192	30	20	pde	pde	NOUN
ejpam-6192	30	21	-	-	PUNCT
ejpam-6192	30	22	based	base	VERB
ejpam-6192	30	23	and	and	CCONJ
ejpam-6192	30	24	learning	learning	NOUN
ejpam-6192	30	25	-	-	PUNCT
ejpam-6192	30	26	based	base	VERB
ejpam-6192	30	27	approaches	approach	NOUN
ejpam-6192	30	28	while	while	SCONJ
ejpam-6192	30	29	highlighting	highlight	VERB
ejpam-6192	30	30	gaps	gap	NOUN
ejpam-6192	30	31	in	in	ADP
ejpam-6192	30	32	fluid	fluid	ADJ
ejpam-6192	30	33	dynamics	dynamic	NOUN
ejpam-6192	30	34	-	-	PUNCT
ejpam-6192	30	35	inspired	inspire	VERB
ejpam-6192	30	36	techniques	technique	NOUN
ejpam-6192	30	37	.	.	PUNCT
ejpam-6192	31	1	section	section	NOUN
ejpam-6192	31	2	3	3	NUM
ejpam-6192	31	3	formalizes	formalize	VERB
ejpam-6192	31	4	the	the	DET
ejpam-6192	31	5	mathematical	mathematical	ADJ
ejpam-6192	31	6	foundation	foundation	NOUN
ejpam-6192	31	7	,	,	PUNCT
ejpam-6192	31	8	presenting	present	VERB
ejpam-6192	31	9	the	the	DET
ejpam-6192	31	10	vorticity	vorticity	NOUN
ejpam-6192	31	11	-	-	PUNCT
ejpam-6192	31	12	stream	stream	NOUN
ejpam-6192	31	13	formulation	formulation	NOUN
ejpam-6192	31	14	of	of	ADP
ejpam-6192	31	15	navier	navier	NOUN
ejpam-6192	31	16	-	-	PUNCT
ejpam-6192	31	17	stokes	stoke	NOUN
ejpam-6192	31	18	equations	equation	NOUN
ejpam-6192	31	19	adapted	adapt	VERB
ejpam-6192	31	20	for	for	ADP
ejpam-6192	31	21	inpainting	inpainte	VERB
ejpam-6192	31	22	.	.	PUNCT
ejpam-6192	32	1	section	section	NOUN
ejpam-6192	32	2	4	4	NUM
ejpam-6192	32	3	details	detail	NOUN
ejpam-6192	32	4	the	the	DET
ejpam-6192	32	5	proposed	propose	VERB
ejpam-6192	32	6	lattice	lattice	PROPN
ejpam-6192	32	7	boltzmann	boltzmann	PROPN
ejpam-6192	32	8	method	method	PROPN
ejpam-6192	32	9	(	(	PUNCT
ejpam-6192	32	10	lbm	lbm	NOUN
ejpam-6192	32	11	)	)	PUNCT
ejpam-6192	32	12	framework	framework	NOUN
ejpam-6192	32	13	,	,	PUNCT
ejpam-6192	32	14	including	include	VERB
ejpam-6192	32	15	d2q5	d2q5	PROPN
ejpam-6192	32	16	/	/	SYM
ejpam-6192	32	17	d2q9	d2q9	NOUN
ejpam-6192	32	18	implementations	implementation	NOUN
ejpam-6192	32	19	and	and	CCONJ
ejpam-6192	32	20	boundary	boundary	ADJ
ejpam-6192	32	21	condition	condition	NOUN
ejpam-6192	32	22	treatments	treatment	NOUN
ejpam-6192	32	23	.	.	PUNCT
ejpam-6192	33	1	section	section	NOUN
ejpam-6192	33	2	5	5	NUM
ejpam-6192	33	3	evaluates	evaluate	VERB
ejpam-6192	33	4	performance	performance	NOUN
ejpam-6192	33	5	through	through	ADP
ejpam-6192	33	6	quantitative	quantitative	ADJ
ejpam-6192	33	7	metrics	metric	NOUN
ejpam-6192	33	8	(	(	PUNCT
ejpam-6192	33	9	psnr	psnr	NOUN
ejpam-6192	33	10	/	/	SYM
ejpam-6192	33	11	ssim	ssim	NOUN
ejpam-6192	33	12	)	)	PUNCT
ejpam-6192	33	13	and	and	CCONJ
ejpam-6192	33	14	comparative	comparative	ADJ
ejpam-6192	33	15	benchmarks	benchmark	NOUN
ejpam-6192	33	16	against	against	ADP
ejpam-6192	33	17	tv	tv	NOUN
ejpam-6192	33	18	and	and	CCONJ
ejpam-6192	33	19	bscb	bscb	ADJ
ejpam-6192	33	20	methods	method	NOUN
ejpam-6192	33	21	.	.	PUNCT
ejpam-6192	34	1	section	section	NOUN
ejpam-6192	34	2	6	6	NUM
ejpam-6192	34	3	concludes	conclude	VERB
ejpam-6192	34	4	with	with	ADP
ejpam-6192	34	5	contributions	contribution	NOUN
ejpam-6192	34	6	and	and	CCONJ
ejpam-6192	34	7	outlines	outline	VERB
ejpam-6192	34	8	future	future	ADJ
ejpam-6192	34	9	research	research	NOUN
ejpam-6192	34	10	directions	direction	NOUN
ejpam-6192	34	11	,	,	PUNCT
ejpam-6192	34	12	notably	notably	ADV
ejpam-6192	34	13	lbm	lbm	PROPN
ejpam-6192	34	14	-	-	PROPN
ejpam-6192	34	15	cnn	cnn	PROPN
ejpam-6192	34	16	hybridization	hybridization	NOUN
ejpam-6192	34	17	.	.	PUNCT
ejpam-6192	35	1	2	2	X
ejpam-6192	35	2	.	.	X
ejpam-6192	35	3	related	relate	VERB
ejpam-6192	35	4	work	work	NOUN
ejpam-6192	35	5	for	for	ADP
ejpam-6192	35	6	image	image	NOUN
ejpam-6192	35	7	inpainting	inpainte	VERB
ejpam-6192	35	8	in	in	ADP
ejpam-6192	35	9	this	this	DET
ejpam-6192	35	10	section	section	NOUN
ejpam-6192	35	11	,	,	PUNCT
ejpam-6192	35	12	we	we	PRON
ejpam-6192	35	13	examine	examine	VERB
ejpam-6192	35	14	two	two	NUM
ejpam-6192	35	15	main	main	ADJ
ejpam-6192	35	16	categories	category	NOUN
ejpam-6192	35	17	of	of	ADP
ejpam-6192	35	18	research	research	NOUN
ejpam-6192	35	19	in	in	ADP
ejpam-6192	35	20	this	this	DET
ejpam-6192	35	21	field	field	NOUN
ejpam-6192	35	22	:	:	PUNCT
ejpam-6192	35	23	non	non	ADJ
ejpam-6192	35	24	-	-	ADJ
ejpam-6192	35	25	learningbased	learningbased	ADJ
ejpam-6192	35	26	methods	method	NOUN
ejpam-6192	35	27	and	and	CCONJ
ejpam-6192	35	28	learning	learning	NOUN
ejpam-6192	35	29	-	-	PUNCT
ejpam-6192	35	30	based	base	VERB
ejpam-6192	35	31	methods	method	NOUN
ejpam-6192	35	32	.	.	PUNCT
ejpam-6192	36	1	2.1	2.1	NUM
ejpam-6192	36	2	.	.	PUNCT
ejpam-6192	37	1	non	non	ADJ
ejpam-6192	37	2	-	-	ADJ
ejpam-6192	37	3	learning	learning	ADJ
ejpam-6192	37	4	-	-	PUNCT
ejpam-6192	37	5	based	base	VERB
ejpam-6192	37	6	methods	method	NOUN
ejpam-6192	37	7	non	non	ADJ
ejpam-6192	37	8	-	-	ADJ
ejpam-6192	37	9	learning	learning	ADJ
ejpam-6192	37	10	-	-	PUNCT
ejpam-6192	37	11	based	base	VERB
ejpam-6192	37	12	approaches	approach	NOUN
ejpam-6192	37	13	do	do	AUX
ejpam-6192	37	14	not	not	PART
ejpam-6192	37	15	require	require	VERB
ejpam-6192	37	16	training	training	NOUN
ejpam-6192	37	17	data	datum	NOUN
ejpam-6192	37	18	and	and	CCONJ
ejpam-6192	37	19	are	be	AUX
ejpam-6192	37	20	typically	typically	ADV
ejpam-6192	37	21	grounded	ground	VERB
ejpam-6192	37	22	in	in	ADP
ejpam-6192	37	23	mathematical	mathematical	ADJ
ejpam-6192	37	24	models	model	NOUN
ejpam-6192	37	25	.	.	PUNCT
ejpam-6192	38	1	examples	example	NOUN
ejpam-6192	38	2	include	include	VERB
ejpam-6192	38	3	partial	partial	ADJ
ejpam-6192	38	4	differential	differential	ADJ
ejpam-6192	38	5	equations	equation	NOUN
ejpam-6192	38	6	(	(	PUNCT
ejpam-6192	38	7	pdes	pde	NOUN
ejpam-6192	38	8	)	)	PUNCT
ejpam-6192	38	9	for	for	ADP
ejpam-6192	38	10	isophote	isophote	ADJ
ejpam-6192	38	11	propagation	propagation	NOUN
ejpam-6192	38	12	[	[	X
ejpam-6192	38	13	9	9	NUM
ejpam-6192	38	14	]	]	PUNCT
ejpam-6192	38	15	,	,	PUNCT
ejpam-6192	38	16	computational	computational	ADJ
ejpam-6192	38	17	fluid	fluid	NOUN
ejpam-6192	38	18	dynamics	dynamic	NOUN
ejpam-6192	38	19	-	-	PUNCT
ejpam-6192	38	20	based	base	VERB
ejpam-6192	38	21	isophote	isophote	NOUN
ejpam-6192	38	22	propagation	propagation	NOUN
ejpam-6192	38	23	[	[	X
ejpam-6192	38	24	10	10	NUM
ejpam-6192	38	25	]	]	PUNCT
ejpam-6192	38	26	,	,	PUNCT
ejpam-6192	38	27	and	and	CCONJ
ejpam-6192	38	28	total	total	ADJ
ejpam-6192	38	29	variation	variation	NOUN
ejpam-6192	38	30	(	(	PUNCT
ejpam-6192	38	31	tv	tv	NOUN
ejpam-6192	38	32	)	)	PUNCT
ejpam-6192	38	33	minimisation	minimisation	NOUN
ejpam-6192	38	34	[	[	X
ejpam-6192	38	35	11	11	NUM
ejpam-6192	38	36	]	]	PUNCT
ejpam-6192	38	37	and	and	CCONJ
ejpam-6192	38	38	more	more	ADV
ejpam-6192	38	39	traditional	traditional	ADJ
ejpam-6192	38	40	methods	method	NOUN
ejpam-6192	38	41	in	in	ADP
ejpam-6192	38	42	[	[	X
ejpam-6192	38	43	12	12	NUM
ejpam-6192	38	44	]	]	PUNCT
ejpam-6192	38	45	.	.	PUNCT
ejpam-6192	39	1	these	these	DET
ejpam-6192	39	2	foundational	foundational	ADJ
ejpam-6192	39	3	techniques	technique	NOUN
ejpam-6192	39	4	aim	aim	VERB
ejpam-6192	39	5	to	to	PART
ejpam-6192	39	6	preserve	preserve	VERB
ejpam-6192	39	7	the	the	DET
ejpam-6192	39	8	structural	structural	ADJ
ejpam-6192	39	9	integrity	integrity	NOUN
ejpam-6192	39	10	of	of	ADP
ejpam-6192	39	11	the	the	DET
ejpam-6192	39	12	image	image	NOUN
ejpam-6192	39	13	during	during	ADP
ejpam-6192	39	14	the	the	DET
ejpam-6192	39	15	inpainting	inpainting	ADJ
ejpam-6192	39	16	process	process	NOUN
ejpam-6192	39	17	.	.	PUNCT
ejpam-6192	40	1	a	a	DET
ejpam-6192	40	2	notable	notable	ADJ
ejpam-6192	40	3	subset	subset	NOUN
ejpam-6192	40	4	of	of	ADP
ejpam-6192	40	5	these	these	DET
ejpam-6192	40	6	methods	method	NOUN
ejpam-6192	40	7	,	,	PUNCT
ejpam-6192	40	8	known	know	VERB
ejpam-6192	40	9	as	as	ADP
ejpam-6192	40	10	diffusion	diffusion	NOUN
ejpam-6192	40	11	-	-	PUNCT
ejpam-6192	40	12	based	base	VERB
ejpam-6192	40	13	approaches	approach	NOUN
ejpam-6192	40	14	,	,	PUNCT
ejpam-6192	40	15	incorporates	incorporate	VERB
ejpam-6192	40	16	concepts	concept	NOUN
ejpam-6192	40	17	such	such	ADJ
ejpam-6192	40	18	as	as	ADP
ejpam-6192	40	19	intra	intra	ADJ
ejpam-6192	40	20	-	-	ADJ
ejpam-6192	40	21	channel	channel	ADJ
ejpam-6192	40	22	and	and	CCONJ
ejpam-6192	40	23	inter	inter	ADJ
ejpam-6192	40	24	-	-	ADJ
ejpam-6192	40	25	channel	channel	ADJ
ejpam-6192	40	26	local	local	ADJ
ejpam-6192	40	27	variances	variance	NOUN
ejpam-6192	40	28	[	[	X
ejpam-6192	40	29	13	13	NUM
ejpam-6192	40	30	]	]	PUNCT
ejpam-6192	40	31	,	,	PUNCT
ejpam-6192	40	32	the	the	DET
ejpam-6192	40	33	distance	distance	NOUN
ejpam-6192	40	34	and	and	CCONJ
ejpam-6192	40	35	direction	direction	NOUN
ejpam-6192	40	36	between	between	ADP
ejpam-6192	40	37	the	the	DET
ejpam-6192	40	38	damaged	damage	VERB
ejpam-6192	40	39	pixel	pixel	NOUN
ejpam-6192	40	40	and	and	CCONJ
ejpam-6192	40	41	its	its	PRON
ejpam-6192	40	42	neighbouring	neighbouring	ADJ
ejpam-6192	40	43	pixels	pixel	NOUN
ejpam-6192	40	44	[	[	X
ejpam-6192	40	45	14	14	NUM
ejpam-6192	40	46	]	]	PUNCT
ejpam-6192	40	47	,	,	PUNCT
ejpam-6192	40	48	and	and	CCONJ
ejpam-6192	40	49	the	the	DET
ejpam-6192	40	50	applicay	applicay	NOUN
ejpam-6192	40	51	.	.	PUNCT
ejpam-6192	41	1	douich	douich	PROPN
ejpam-6192	41	2	et	et	PROPN
ejpam-6192	41	3	al	al	PROPN
ejpam-6192	41	4	.	.	PUNCT
ejpam-6192	41	5	/	/	SYM
ejpam-6192	41	6	eur	eur	PROPN
ejpam-6192	41	7	.	.	PUNCT
ejpam-6192	42	1	j.	j.	PROPN
ejpam-6192	42	2	pure	pure	PROPN
ejpam-6192	42	3	appl	appl	PROPN
ejpam-6192	42	4	.	.	PROPN
ejpam-6192	42	5	math	math	PROPN
ejpam-6192	42	6	,	,	PUNCT
ejpam-6192	42	7	18	18	NUM
ejpam-6192	42	8	(	(	PUNCT
ejpam-6192	42	9	3	3	NUM
ejpam-6192	42	10	)	)	PUNCT
ejpam-6192	42	11	(	(	PUNCT
ejpam-6192	42	12	2025	2025	NUM
ejpam-6192	42	13	)	)	PUNCT
ejpam-6192	42	14	,	,	PUNCT
ejpam-6192	42	15	6192	6192	NUM
ejpam-6192	42	16	3	3	NUM
ejpam-6192	42	17	of	of	ADP
ejpam-6192	42	18	32	32	NUM
ejpam-6192	42	19	tion	tion	NOUN
ejpam-6192	42	20	of	of	ADP
ejpam-6192	42	21	fractional	fractional	ADJ
ejpam-6192	42	22	-	-	PUNCT
ejpam-6192	42	23	order	order	NOUN
ejpam-6192	42	24	derivatives	derivative	NOUN
ejpam-6192	42	25	combined	combine	VERB
ejpam-6192	42	26	with	with	ADP
ejpam-6192	42	27	fourier	fourier	NOUN
ejpam-6192	42	28	transforms	transform	VERB
ejpam-6192	42	29	[	[	X
ejpam-6192	42	30	15	15	NUM
ejpam-6192	42	31	]	]	PUNCT
ejpam-6192	42	32	.	.	PUNCT
ejpam-6192	43	1	these	these	DET
ejpam-6192	43	2	methods	method	NOUN
ejpam-6192	43	3	excel	excel	VERB
ejpam-6192	43	4	in	in	ADP
ejpam-6192	43	5	handling	handle	VERB
ejpam-6192	43	6	diverse	diverse	ADJ
ejpam-6192	43	7	inpainting	inpainting	ADJ
ejpam-6192	43	8	challenges	challenge	NOUN
ejpam-6192	43	9	while	while	SCONJ
ejpam-6192	43	10	maintaining	maintain	VERB
ejpam-6192	43	11	computational	computational	ADJ
ejpam-6192	43	12	efficiency	efficiency	NOUN
ejpam-6192	43	13	.	.	PUNCT
ejpam-6192	44	1	2.2	2.2	NUM
ejpam-6192	44	2	.	.	PUNCT
ejpam-6192	45	1	learning	learn	VERB
ejpam-6192	45	2	-	-	PUNCT
ejpam-6192	45	3	based	base	VERB
ejpam-6192	45	4	methods	method	NOUN
ejpam-6192	45	5	in	in	ADP
ejpam-6192	45	6	recent	recent	ADJ
ejpam-6192	45	7	years	year	NOUN
ejpam-6192	45	8	,	,	PUNCT
ejpam-6192	45	9	deep	deep	ADJ
ejpam-6192	45	10	convolutional	convolutional	ADJ
ejpam-6192	45	11	neural	neural	ADJ
ejpam-6192	45	12	networks	network	NOUN
ejpam-6192	45	13	(	(	PUNCT
ejpam-6192	45	14	cnns	cnns	PROPN
ejpam-6192	45	15	)	)	PUNCT
ejpam-6192	45	16	have	have	AUX
ejpam-6192	45	17	demonstrated	demonstrate	VERB
ejpam-6192	45	18	remarkable	remarkable	ADJ
ejpam-6192	45	19	success	success	NOUN
ejpam-6192	45	20	in	in	ADP
ejpam-6192	45	21	various	various	ADJ
ejpam-6192	45	22	computer	computer	NOUN
ejpam-6192	45	23	vision	vision	NOUN
ejpam-6192	45	24	tasks	task	NOUN
ejpam-6192	45	25	,	,	PUNCT
ejpam-6192	45	26	including	include	VERB
ejpam-6192	45	27	image	image	NOUN
ejpam-6192	45	28	inpainting	inpainting	NOUN
ejpam-6192	45	29	.	.	PUNCT
ejpam-6192	46	1	unlike	unlike	ADP
ejpam-6192	46	2	non	non	ADJ
ejpam-6192	46	3	-	-	ADJ
ejpam-6192	46	4	learning	learning	ADJ
ejpam-6192	46	5	-	-	PUNCT
ejpam-6192	46	6	based	base	VERB
ejpam-6192	46	7	methods	method	NOUN
ejpam-6192	46	8	,	,	PUNCT
ejpam-6192	46	9	cnn	cnn	PROPN
ejpam-6192	46	10	-	-	PUNCT
ejpam-6192	46	11	based	base	VERB
ejpam-6192	46	12	approaches	approach	NOUN
ejpam-6192	46	13	leverage	leverage	VERB
ejpam-6192	46	14	large	large	ADJ
ejpam-6192	46	15	-	-	PUNCT
ejpam-6192	46	16	scale	scale	NOUN
ejpam-6192	46	17	datasets	dataset	NOUN
ejpam-6192	46	18	and	and	CCONJ
ejpam-6192	46	19	advanced	advanced	ADJ
ejpam-6192	46	20	architectures	architecture	NOUN
ejpam-6192	46	21	to	to	PART
ejpam-6192	46	22	achieve	achieve	VERB
ejpam-6192	46	23	high	high	ADJ
ejpam-6192	46	24	-	-	PUNCT
ejpam-6192	46	25	quality	quality	NOUN
ejpam-6192	46	26	results	result	NOUN
ejpam-6192	46	27	.	.	PUNCT
ejpam-6192	47	1	these	these	DET
ejpam-6192	47	2	methods	method	NOUN
ejpam-6192	47	3	are	be	AUX
ejpam-6192	47	4	particularly	particularly	ADV
ejpam-6192	47	5	effective	effective	ADJ
ejpam-6192	47	6	for	for	ADP
ejpam-6192	47	7	texture	texture	ADJ
ejpam-6192	47	8	reconstruction	reconstruction	NOUN
ejpam-6192	47	9	and	and	CCONJ
ejpam-6192	47	10	ensuring	ensure	VERB
ejpam-6192	47	11	global	global	ADJ
ejpam-6192	47	12	structural	structural	ADJ
ejpam-6192	47	13	consistency	consistency	NOUN
ejpam-6192	47	14	.	.	PUNCT
ejpam-6192	48	1	several	several	ADJ
ejpam-6192	48	2	specialised	specialised	PROPN
ejpam-6192	48	3	cnn	cnn	PROPN
ejpam-6192	48	4	architectures	architecture	NOUN
ejpam-6192	48	5	have	have	AUX
ejpam-6192	48	6	been	be	AUX
ejpam-6192	48	7	developed	develop	VERB
ejpam-6192	48	8	to	to	PART
ejpam-6192	48	9	address	address	VERB
ejpam-6192	48	10	specific	specific	ADJ
ejpam-6192	48	11	inpainting	inpainting	ADJ
ejpam-6192	48	12	challenges	challenge	NOUN
ejpam-6192	48	13	,	,	PUNCT
ejpam-6192	48	14	including	include	VERB
ejpam-6192	48	15	u	u	NOUN
ejpam-6192	48	16	-	-	NOUN
ejpam-6192	48	17	net	net	ADJ
ejpam-6192	49	1	[	[	X
ejpam-6192	49	2	16	16	NUM
ejpam-6192	49	3	]	]	PUNCT
ejpam-6192	49	4	,	,	PUNCT
ejpam-6192	49	5	shift	shift	NOUN
ejpam-6192	49	6	-	-	PUNCT
ejpam-6192	49	7	net	net	NOUN
ejpam-6192	49	8	,	,	PUNCT
ejpam-6192	49	9	pen	pen	NOUN
ejpam-6192	49	10	-	-	PUNCT
ejpam-6192	49	11	net	net	NOUN
ejpam-6192	49	12	[	[	X
ejpam-6192	49	13	17	17	NUM
ejpam-6192	49	14	]	]	PUNCT
ejpam-6192	49	15	,	,	PUNCT
ejpam-6192	49	16	and	and	CCONJ
ejpam-6192	49	17	bicnn	bicnn	VERB
ejpam-6192	49	18	[	[	X
ejpam-6192	49	19	18	18	NUM
ejpam-6192	49	20	]	]	PUNCT
ejpam-6192	49	21	.	.	PUNCT
ejpam-6192	50	1	these	these	DET
ejpam-6192	50	2	architectures	architecture	NOUN
ejpam-6192	50	3	are	be	AUX
ejpam-6192	50	4	designed	design	VERB
ejpam-6192	50	5	for	for	ADP
ejpam-6192	50	6	tasks	task	NOUN
ejpam-6192	50	7	such	such	ADJ
ejpam-6192	50	8	as	as	ADP
ejpam-6192	50	9	texture	texture	ADJ
ejpam-6192	50	10	completion	completion	NOUN
ejpam-6192	50	11	,	,	PUNCT
ejpam-6192	50	12	fine	fine	ADJ
ejpam-6192	50	13	-	-	PUNCT
ejpam-6192	50	14	detail	detail	NOUN
ejpam-6192	50	15	restoration	restoration	NOUN
ejpam-6192	50	16	,	,	PUNCT
ejpam-6192	50	17	and	and	CCONJ
ejpam-6192	50	18	filling	fill	VERB
ejpam-6192	50	19	large	large	ADJ
ejpam-6192	50	20	gaps	gap	NOUN
ejpam-6192	50	21	.	.	PUNCT
ejpam-6192	51	1	additional	additional	ADJ
ejpam-6192	51	2	applications	application	NOUN
ejpam-6192	51	3	include	include	VERB
ejpam-6192	51	4	inpainting	inpainte	VERB
ejpam-6192	51	5	x	x	PROPN
ejpam-6192	51	6	-	-	NOUN
ejpam-6192	51	7	ray	ray	NOUN
ejpam-6192	51	8	medical	medical	ADJ
ejpam-6192	51	9	images	image	NOUN
ejpam-6192	51	10	[	[	X
ejpam-6192	51	11	19	19	NUM
ejpam-6192	51	12	]	]	PUNCT
ejpam-6192	51	13	,	,	PUNCT
ejpam-6192	51	14	forensic	forensic	ADJ
ejpam-6192	51	15	image	image	NOUN
ejpam-6192	51	16	restoration	restoration	NOUN
ejpam-6192	51	17	[	[	X
ejpam-6192	51	18	20	20	NUM
ejpam-6192	51	19	]	]	PUNCT
ejpam-6192	51	20	,	,	PUNCT
ejpam-6192	51	21	video	video	NOUN
ejpam-6192	51	22	inpainting	inpainte	VERB
ejpam-6192	51	23	for	for	ADP
ejpam-6192	51	24	object	object	NOUN
ejpam-6192	51	25	removal	removal	NOUN
ejpam-6192	51	26	[	[	X
ejpam-6192	51	27	21	21	NUM
ejpam-6192	51	28	]	]	PUNCT
ejpam-6192	51	29	,	,	PUNCT
ejpam-6192	51	30	and	and	CCONJ
ejpam-6192	51	31	scanned	scan	VERB
ejpam-6192	51	32	data	datum	NOUN
ejpam-6192	51	33	recovery	recovery	NOUN
ejpam-6192	52	1	[	[	X
ejpam-6192	52	2	22	22	NUM
ejpam-6192	52	3	]	]	PUNCT
ejpam-6192	52	4	.	.	PUNCT
ejpam-6192	53	1	techniques	technique	NOUN
ejpam-6192	53	2	such	such	ADJ
ejpam-6192	53	3	as	as	ADP
ejpam-6192	53	4	coherent	coherent	ADJ
ejpam-6192	53	5	semantic	semantic	ADJ
ejpam-6192	53	6	attention	attention	NOUN
ejpam-6192	53	7	layers	layer	NOUN
ejpam-6192	53	8	[	[	X
ejpam-6192	53	9	23	23	NUM
ejpam-6192	53	10	]	]	PUNCT
ejpam-6192	53	11	and	and	CCONJ
ejpam-6192	53	12	pyramidalcontext	pyramidalcontext	PROPN
ejpam-6192	53	13	architectures	architecture	NOUN
ejpam-6192	53	14	[	[	X
ejpam-6192	53	15	24	24	NUM
ejpam-6192	53	16	]	]	PUNCT
ejpam-6192	53	17	further	far	ADV
ejpam-6192	53	18	enhance	enhance	VERB
ejpam-6192	53	19	the	the	DET
ejpam-6192	53	20	capabilities	capability	NOUN
ejpam-6192	53	21	of	of	ADP
ejpam-6192	53	22	cnn	cnn	PROPN
ejpam-6192	53	23	-	-	PUNCT
ejpam-6192	53	24	based	base	VERB
ejpam-6192	53	25	methods	method	NOUN
ejpam-6192	53	26	.	.	PUNCT
ejpam-6192	54	1	furthermore	furthermore	ADV
ejpam-6192	54	2	,	,	PUNCT
ejpam-6192	54	3	specialised	specialised	ADJ
ejpam-6192	54	4	models	model	NOUN
ejpam-6192	54	5	have	have	AUX
ejpam-6192	54	6	been	be	AUX
ejpam-6192	54	7	introduced	introduce	VERB
ejpam-6192	54	8	for	for	ADP
ejpam-6192	54	9	unique	unique	ADJ
ejpam-6192	54	10	applications	application	NOUN
ejpam-6192	54	11	.	.	PUNCT
ejpam-6192	55	1	for	for	ADP
ejpam-6192	55	2	instance	instance	NOUN
ejpam-6192	55	3	,	,	PUNCT
ejpam-6192	55	4	artist	artist	NOUN
ejpam-6192	55	5	-	-	PUNCT
ejpam-6192	55	6	net	net	NOUN
ejpam-6192	55	7	[	[	X
ejpam-6192	55	8	25	25	NUM
ejpam-6192	55	9	]	]	PUNCT
ejpam-6192	55	10	focuses	focus	VERB
ejpam-6192	55	11	on	on	ADP
ejpam-6192	55	12	high	high	ADJ
ejpam-6192	55	13	-	-	PUNCT
ejpam-6192	55	14	quality	quality	NOUN
ejpam-6192	55	15	artistic	artistic	ADJ
ejpam-6192	55	16	restoration	restoration	NOUN
ejpam-6192	55	17	,	,	PUNCT
ejpam-6192	55	18	vgg	vgg	NOUN
ejpam-6192	55	19	-	-	PUNCT
ejpam-6192	55	20	based	base	VERB
ejpam-6192	55	21	approaches	approach	NOUN
ejpam-6192	55	22	are	be	AUX
ejpam-6192	55	23	tailored	tailor	VERB
ejpam-6192	55	24	for	for	ADP
ejpam-6192	55	25	uav	uav	PROPN
ejpam-6192	55	26	data	data	PROPN
ejpam-6192	55	27	recovery	recovery	NOUN
ejpam-6192	56	1	[	[	X
ejpam-6192	56	2	26	26	NUM
ejpam-6192	56	3	]	]	PUNCT
ejpam-6192	56	4	,	,	PUNCT
ejpam-6192	56	5	and	and	CCONJ
ejpam-6192	56	6	grnn	grnn	NOUN
ejpam-6192	56	7	-	-	PUNCT
ejpam-6192	56	8	based	base	VERB
ejpam-6192	56	9	methods	method	NOUN
ejpam-6192	56	10	are	be	AUX
ejpam-6192	56	11	effective	effective	ADJ
ejpam-6192	56	12	for	for	ADP
ejpam-6192	56	13	nontexture	nontexture	NOUN
ejpam-6192	56	14	inpainting	inpainte	VERB
ejpam-6192	56	15	[	[	X
ejpam-6192	56	16	27	27	NUM
ejpam-6192	56	17	]	]	PUNCT
ejpam-6192	56	18	.	.	PUNCT
ejpam-6192	57	1	other	other	ADJ
ejpam-6192	57	2	applications	application	NOUN
ejpam-6192	57	3	include	include	VERB
ejpam-6192	57	4	text	text	NOUN
ejpam-6192	57	5	removal	removal	NOUN
ejpam-6192	57	6	[	[	X
ejpam-6192	57	7	28	28	NUM
ejpam-6192	57	8	]	]	PUNCT
ejpam-6192	57	9	,	,	PUNCT
ejpam-6192	57	10	artwork	artwork	NOUN
ejpam-6192	57	11	enhancement	enhancement	NOUN
ejpam-6192	57	12	[	[	X
ejpam-6192	57	13	29	29	NUM
ejpam-6192	57	14	]	]	PUNCT
ejpam-6192	57	15	,	,	PUNCT
ejpam-6192	57	16	and	and	CCONJ
ejpam-6192	57	17	semantic	semantic	ADJ
ejpam-6192	57	18	object	object	NOUN
ejpam-6192	57	19	removal	removal	NOUN
ejpam-6192	57	20	[	[	X
ejpam-6192	57	21	30	30	NUM
ejpam-6192	57	22	]	]	PUNCT
ejpam-6192	57	23	,	,	PUNCT
ejpam-6192	57	24	showcasing	showcase	VERB
ejpam-6192	57	25	the	the	DET
ejpam-6192	57	26	versatility	versatility	NOUN
ejpam-6192	57	27	of	of	ADP
ejpam-6192	57	28	cnn	cnn	PROPN
ejpam-6192	57	29	-	-	PUNCT
ejpam-6192	57	30	based	base	VERB
ejpam-6192	57	31	methods	method	NOUN
ejpam-6192	57	32	.	.	PUNCT
ejpam-6192	58	1	emerging	emerge	VERB
ejpam-6192	58	2	techniques	technique	NOUN
ejpam-6192	58	3	,	,	PUNCT
ejpam-6192	58	4	such	such	ADJ
ejpam-6192	58	5	as	as	ADP
ejpam-6192	58	6	blind	blind	ADJ
ejpam-6192	58	7	inpainting	inpainte	VERB
ejpam-6192	58	8	[	[	X
ejpam-6192	58	9	18	18	NUM
ejpam-6192	58	10	]	]	PUNCT
ejpam-6192	58	11	and	and	CCONJ
ejpam-6192	58	12	advanced	advanced	ADJ
ejpam-6192	58	13	encoder	encoder	NOUN
ejpam-6192	58	14	-	-	PUNCT
ejpam-6192	58	15	decoder	decoder	NOUN
ejpam-6192	58	16	architectures	architecture	NOUN
ejpam-6192	58	17	that	that	PRON
ejpam-6192	58	18	integrate	integrate	VERB
ejpam-6192	58	19	super	super	NOUN
ejpam-6192	58	20	-	-	NOUN
ejpam-6192	58	21	resolution	resolution	NOUN
ejpam-6192	58	22	,	,	PUNCT
ejpam-6192	58	23	denoising	denoising	NOUN
ejpam-6192	58	24	,	,	PUNCT
ejpam-6192	58	25	and	and	CCONJ
ejpam-6192	58	26	inpainting	inpainte	VERB
ejpam-6192	58	27	capabilities	capability	NOUN
ejpam-6192	58	28	[	[	X
ejpam-6192	58	29	31	31	NUM
ejpam-6192	58	30	,	,	PUNCT
ejpam-6192	58	31	32	32	NUM
ejpam-6192	58	32	]	]	PUNCT
ejpam-6192	58	33	,	,	PUNCT
ejpam-6192	58	34	continue	continue	VERB
ejpam-6192	58	35	to	to	PART
ejpam-6192	58	36	push	push	VERB
ejpam-6192	58	37	the	the	DET
ejpam-6192	58	38	boundaries	boundary	NOUN
ejpam-6192	58	39	of	of	ADP
ejpam-6192	58	40	image	image	NOUN
ejpam-6192	58	41	restoration	restoration	NOUN
ejpam-6192	58	42	.	.	PUNCT
ejpam-6192	59	1	the	the	DET
ejpam-6192	59	2	development	development	NOUN
ejpam-6192	59	3	and	and	CCONJ
ejpam-6192	59	4	evaluation	evaluation	NOUN
ejpam-6192	59	5	of	of	ADP
ejpam-6192	59	6	image	image	NOUN
ejpam-6192	59	7	inpainting	inpainte	VERB
ejpam-6192	59	8	algorithms	algorithm	NOUN
ejpam-6192	59	9	rely	rely	VERB
ejpam-6192	59	10	heavily	heavily	ADV
ejpam-6192	59	11	on	on	ADP
ejpam-6192	59	12	publicly	publicly	ADV
ejpam-6192	59	13	available	available	ADJ
ejpam-6192	59	14	and	and	CCONJ
ejpam-6192	59	15	large	large	ADJ
ejpam-6192	59	16	-	-	PUNCT
ejpam-6192	59	17	scale	scale	NOUN
ejpam-6192	59	18	datasets	dataset	NOUN
ejpam-6192	59	19	.	.	PUNCT
ejpam-6192	60	1	the	the	DET
ejpam-6192	60	2	choice	choice	NOUN
ejpam-6192	60	3	of	of	ADP
ejpam-6192	60	4	dataset	dataset	ADJ
ejpam-6192	60	5	categories	category	NOUN
ejpam-6192	60	6	significantly	significantly	ADV
ejpam-6192	60	7	impacts	impact	VERB
ejpam-6192	60	8	the	the	DET
ejpam-6192	60	9	effectiveness	effectiveness	NOUN
ejpam-6192	60	10	of	of	ADP
ejpam-6192	60	11	the	the	DET
ejpam-6192	60	12	proposed	propose	VERB
ejpam-6192	60	13	methods	method	NOUN
ejpam-6192	60	14	.	.	PUNCT
ejpam-6192	61	1	common	common	ADJ
ejpam-6192	61	2	categories	category	NOUN
ejpam-6192	61	3	include	include	VERB
ejpam-6192	61	4	natural	natural	ADJ
ejpam-6192	61	5	images	image	NOUN
ejpam-6192	61	6	,	,	PUNCT
ejpam-6192	61	7	artificial	artificial	ADJ
ejpam-6192	61	8	images	image	NOUN
ejpam-6192	61	9	,	,	PUNCT
ejpam-6192	61	10	face	face	NOUN
ejpam-6192	61	11	images	image	NOUN
ejpam-6192	61	12	,	,	PUNCT
ejpam-6192	61	13	and	and	CCONJ
ejpam-6192	61	14	others	other	NOUN
ejpam-6192	61	15	.	.	PUNCT
ejpam-6192	62	1	this	this	DET
ejpam-6192	62	2	work	work	NOUN
ejpam-6192	62	3	highlights	highlight	VERB
ejpam-6192	62	4	some	some	PRON
ejpam-6192	62	5	of	of	ADP
ejpam-6192	62	6	the	the	DET
ejpam-6192	62	7	most	most	ADV
ejpam-6192	62	8	widely	widely	ADV
ejpam-6192	62	9	used	use	VERB
ejpam-6192	62	10	datasets	dataset	NOUN
ejpam-6192	62	11	for	for	ADP
ejpam-6192	62	12	image	image	NOUN
ejpam-6192	62	13	inpainting	inpainte	VERB
ejpam-6192	62	14	,	,	PUNCT
ejpam-6192	62	15	such	such	ADJ
ejpam-6192	62	16	as	as	ADP
ejpam-6192	62	17	paris	paris	PROPN
ejpam-6192	62	18	streetview	streetview	NOUN
ejpam-6192	63	1	[	[	X
ejpam-6192	63	2	33	33	NUM
ejpam-6192	63	3	]	]	PUNCT
ejpam-6192	63	4	,	,	PUNCT
ejpam-6192	63	5	places	place	NOUN
ejpam-6192	63	6	[	[	X
ejpam-6192	63	7	34	34	NUM
ejpam-6192	63	8	]	]	PUNCT
ejpam-6192	63	9	,	,	PUNCT
ejpam-6192	63	10	depth	depth	NOUN
ejpam-6192	63	11	image	image	NOUN
ejpam-6192	63	12	datasets	dataset	NOUN
ejpam-6192	63	13	[	[	X
ejpam-6192	63	14	35	35	NUM
ejpam-6192	63	15	]	]	PUNCT
ejpam-6192	63	16	,	,	PUNCT
ejpam-6192	63	17	foreground	foreground	NOUN
ejpam-6192	63	18	-	-	PUNCT
ejpam-6192	63	19	aware	aware	ADJ
ejpam-6192	63	20	datasets	dataset	NOUN
ejpam-6192	64	1	[	[	X
ejpam-6192	64	2	36	36	NUM
ejpam-6192	64	3	]	]	PUNCT
ejpam-6192	64	4	,	,	PUNCT
ejpam-6192	64	5	berkeley	berkeley	PROPN
ejpam-6192	64	6	segmentation	segmentation	NOUN
ejpam-6192	65	1	[	[	X
ejpam-6192	65	2	37	37	NUM
ejpam-6192	65	3	]	]	PUNCT
ejpam-6192	65	4	,	,	PUNCT
ejpam-6192	65	5	and	and	CCONJ
ejpam-6192	65	6	imagenet	imagenet	NOUN
ejpam-6192	65	7	[	[	X
ejpam-6192	65	8	38	38	NUM
ejpam-6192	65	9	]	]	PUNCT
ejpam-6192	65	10	,	,	PUNCT
ejpam-6192	65	11	among	among	ADP
ejpam-6192	65	12	others	other	NOUN
ejpam-6192	65	13	.	.	PUNCT
ejpam-6192	66	1	3	3	X
ejpam-6192	66	2	.	.	X
ejpam-6192	66	3	mathematical	mathematical	ADJ
ejpam-6192	66	4	formulation	formulation	NOUN
ejpam-6192	66	5	3.1	3.1	NUM
ejpam-6192	66	6	.	.	PUNCT
ejpam-6192	66	7	navier	navier	NOUN
ejpam-6192	66	8	-	-	PUNCT
ejpam-6192	66	9	stokes	stokes	PROPN
ejpam-6192	66	10	equations	equation	NOUN
ejpam-6192	66	11	building	build	VERB
ejpam-6192	66	12	upon	upon	SCONJ
ejpam-6192	66	13	the	the	DET
ejpam-6192	66	14	ideas	idea	NOUN
ejpam-6192	66	15	presented	present	VERB
ejpam-6192	66	16	in	in	ADP
ejpam-6192	66	17	[	[	X
ejpam-6192	66	18	10	10	NUM
ejpam-6192	66	19	]	]	PUNCT
ejpam-6192	66	20	,	,	PUNCT
ejpam-6192	66	21	we	we	PRON
ejpam-6192	66	22	consider	consider	VERB
ejpam-6192	66	23	the	the	DET
ejpam-6192	66	24	incompressible	incompressible	ADJ
ejpam-6192	66	25	,	,	PUNCT
ejpam-6192	66	26	newtonian	newtonian	ADJ
ejpam-6192	66	27	fluid	fluid	ADJ
ejpam-6192	66	28	flow	flow	NOUN
ejpam-6192	66	29	governed	govern	VERB
ejpam-6192	66	30	by	by	ADP
ejpam-6192	66	31	the	the	DET
ejpam-6192	66	32	navier	navier	NOUN
ejpam-6192	66	33	-	-	PUNCT
ejpam-6192	66	34	stokes	stokes	PROPN
ejpam-6192	66	35	equations	equation	NOUN
ejpam-6192	66	36	:	:	PUNCT
ejpam-6192	66	37	∂u⃗	∂u⃗	PROPN
ejpam-6192	66	38	∂t	∂t	PROPN
ejpam-6192	67	1	+	+	CCONJ
ejpam-6192	67	2	(	(	PUNCT
ejpam-6192	67	3	u⃗	u⃗	PROPN
ejpam-6192	67	4	·	·	PUNCT
ejpam-6192	67	5	∇)u⃗+∇p	∇)u⃗+∇p	VERB
ejpam-6192	67	6	=	=	SYM
ejpam-6192	67	7	ν∆u⃗	ν∆u⃗	NOUN
ejpam-6192	67	8	,	,	PUNCT
ejpam-6192	67	9	∇	∇	X
ejpam-6192	67	10	·	·	PUNCT
ejpam-6192	68	1	u⃗	u⃗	X
ejpam-6192	68	2	=	=	PUNCT
ejpam-6192	68	3	0	0	NUM
ejpam-6192	68	4	where	where	SCONJ
ejpam-6192	68	5	u⃗	u⃗	PROPN
ejpam-6192	68	6	is	be	AUX
ejpam-6192	68	7	the	the	DET
ejpam-6192	68	8	velocity	velocity	NOUN
ejpam-6192	68	9	vector	vector	NOUN
ejpam-6192	68	10	,	,	PUNCT
ejpam-6192	68	11	p	p	PROPN
ejpam-6192	68	12	is	be	AUX
ejpam-6192	68	13	the	the	DET
ejpam-6192	68	14	pressure	pressure	NOUN
ejpam-6192	68	15	,	,	PUNCT
ejpam-6192	68	16	and	and	CCONJ
ejpam-6192	68	17	ν	ν	NOUN
ejpam-6192	68	18	is	be	AUX
ejpam-6192	68	19	the	the	DET
ejpam-6192	68	20	viscosity	viscosity	NOUN
ejpam-6192	68	21	.	.	PUNCT
ejpam-6192	69	1	for	for	ADP
ejpam-6192	69	2	two	two	NUM
ejpam-6192	69	3	-	-	PUNCT
ejpam-6192	69	4	dimensional	dimensional	ADJ
ejpam-6192	69	5	flows	flow	NOUN
ejpam-6192	69	6	,	,	PUNCT
ejpam-6192	69	7	we	we	PRON
ejpam-6192	69	8	introduce	introduce	VERB
ejpam-6192	69	9	a	a	DET
ejpam-6192	69	10	stream	stream	NOUN
ejpam-6192	69	11	function	function	NOUN
ejpam-6192	69	12	ψ	ψ	NOUN
ejpam-6192	69	13	,	,	PUNCT
ejpam-6192	69	14	such	such	ADJ
ejpam-6192	69	15	that	that	SCONJ
ejpam-6192	69	16	u⃗	u⃗	PROPN
ejpam-6192	69	17	=	=	SYM
ejpam-6192	69	18	∇⊥ψ	∇⊥ψ	PROPN
ejpam-6192	69	19	.	.	PUNCT
ejpam-6192	70	1	defining	define	VERB
ejpam-6192	70	2	the	the	DET
ejpam-6192	70	3	vorticity	vorticity	NOUN
ejpam-6192	70	4	y.	y.	PROPN
ejpam-6192	70	5	douich	douich	PROPN
ejpam-6192	70	6	et	et	PROPN
ejpam-6192	70	7	al	al	PROPN
ejpam-6192	70	8	.	.	PUNCT
ejpam-6192	70	9	/	/	SYM
ejpam-6192	70	10	eur	eur	PROPN
ejpam-6192	70	11	.	.	PUNCT
ejpam-6192	71	1	j.	j.	PROPN
ejpam-6192	71	2	pure	pure	PROPN
ejpam-6192	71	3	appl	appl	PROPN
ejpam-6192	71	4	.	.	PROPN
ejpam-6192	71	5	math	math	PROPN
ejpam-6192	71	6	,	,	PUNCT
ejpam-6192	71	7	18	18	NUM
ejpam-6192	71	8	(	(	PUNCT
ejpam-6192	71	9	3	3	NUM
ejpam-6192	71	10	)	)	PUNCT
ejpam-6192	71	11	(	(	PUNCT
ejpam-6192	71	12	2025	2025	NUM
ejpam-6192	71	13	)	)	PUNCT
ejpam-6192	71	14	,	,	PUNCT
ejpam-6192	71	15	6192	6192	NUM
ejpam-6192	71	16	4	4	NUM
ejpam-6192	71	17	of	of	ADP
ejpam-6192	71	18	32	32	NUM
ejpam-6192	71	19	ω	ω	NUM
ejpam-6192	71	20	=	=	PUNCT
ejpam-6192	71	21	∇	∇	X
ejpam-6192	71	22	×	×	PROPN
ejpam-6192	71	23	u⃗	u⃗	PROPN
ejpam-6192	71	24	,	,	PUNCT
ejpam-6192	71	25	we	we	PRON
ejpam-6192	71	26	obtain	obtain	VERB
ejpam-6192	71	27	the	the	DET
ejpam-6192	71	28	vorticity	vorticity	NOUN
ejpam-6192	71	29	-	-	PUNCT
ejpam-6192	71	30	stream	stream	NOUN
ejpam-6192	71	31	function	function	NOUN
ejpam-6192	71	32	formulation	formulation	NOUN
ejpam-6192	71	33	of	of	ADP
ejpam-6192	71	34	the	the	DET
ejpam-6192	71	35	navier	navier	NOUN
ejpam-6192	71	36	-	-	PUNCT
ejpam-6192	71	37	stokes	stokes	PROPN
ejpam-6192	71	38	equations	equation	NOUN
ejpam-6192	71	39	:	:	PUNCT
ejpam-6192	72	1	ωt	ωt	ADP
ejpam-6192	72	2	+	+	CCONJ
ejpam-6192	72	3	u⃗	u⃗	PROPN
ejpam-6192	72	4	·	·	PUNCT
ejpam-6192	73	1	∇ω	∇ω	PROPN
ejpam-6192	73	2	=	=	NOUN
ejpam-6192	73	3	ν∆ω	ν∆ω	X
ejpam-6192	73	4	(	(	PUNCT
ejpam-6192	73	5	1	1	NUM
ejpam-6192	73	6	)	)	PUNCT
ejpam-6192	73	7	in	in	ADP
ejpam-6192	73	8	the	the	DET
ejpam-6192	73	9	limit	limit	NOUN
ejpam-6192	73	10	of	of	ADP
ejpam-6192	73	11	negligible	negligible	ADJ
ejpam-6192	73	12	viscosity	viscosity	NOUN
ejpam-6192	73	13	,	,	PUNCT
ejpam-6192	73	14	i.e.	i.e.	X
ejpam-6192	73	15	,	,	PUNCT
ejpam-6192	73	16	when	when	SCONJ
ejpam-6192	73	17	ν	ν	PROPN
ejpam-6192	73	18	≈	≈	PROPN
ejpam-6192	73	19	0	0	PROPN
ejpam-6192	73	20	,	,	PUNCT
ejpam-6192	73	21	these	these	DET
ejpam-6192	73	22	equations	equation	NOUN
ejpam-6192	73	23	reduce	reduce	VERB
ejpam-6192	73	24	to	to	ADP
ejpam-6192	73	25	the	the	DET
ejpam-6192	73	26	euler	euler	NOUN
ejpam-6192	73	27	equations	equation	NOUN
ejpam-6192	73	28	for	for	ADP
ejpam-6192	73	29	inviscid	inviscid	ADJ
ejpam-6192	73	30	flow	flow	NOUN
ejpam-6192	73	31	.	.	PUNCT
ejpam-6192	74	1	the	the	DET
ejpam-6192	74	2	steady	steady	ADJ
ejpam-6192	74	3	-	-	PUNCT
ejpam-6192	74	4	state	state	NOUN
ejpam-6192	74	5	solution	solution	NOUN
ejpam-6192	74	6	of	of	ADP
ejpam-6192	74	7	eq	eq	PROPN
ejpam-6192	74	8	.	.	PUNCT
ejpam-6192	75	1	(	(	PUNCT
ejpam-6192	75	2	1	1	X
ejpam-6192	75	3	)	)	PUNCT
ejpam-6192	75	4	then	then	ADV
ejpam-6192	75	5	approaches	approach	VERB
ejpam-6192	75	6	:	:	PUNCT
ejpam-6192	75	7	u⃗	u⃗	PROPN
ejpam-6192	75	8	·	·	PUNCT
ejpam-6192	76	1	∇ω	∇ω	ADJ
ejpam-6192	76	2	=	=	PUNCT
ejpam-6192	76	3	∇⊥ψ	∇⊥ψ	NOUN
ejpam-6192	76	4	·	·	PUNCT
ejpam-6192	76	5	∇∆ψ	∇∆ψ	PROPN
ejpam-6192	77	1	≈	≈	PROPN
ejpam-6192	77	2	0	0	NUM
ejpam-6192	77	3	(	(	PUNCT
ejpam-6192	77	4	2	2	NUM
ejpam-6192	77	5	)	)	PUNCT
ejpam-6192	77	6	note	note	NOUN
ejpam-6192	77	7	that	that	SCONJ
ejpam-6192	77	8	,	,	PUNCT
ejpam-6192	77	9	in	in	ADP
ejpam-6192	77	10	two	two	NUM
ejpam-6192	77	11	dimensions	dimension	NOUN
ejpam-6192	77	12	,	,	PUNCT
ejpam-6192	77	13	the	the	DET
ejpam-6192	77	14	vorticity	vorticity	NOUN
ejpam-6192	77	15	ω	ω	PROPN
ejpam-6192	77	16	becomes	become	VERB
ejpam-6192	77	17	a	a	DET
ejpam-6192	77	18	scalar	scalar	ADJ
ejpam-6192	77	19	quantity	quantity	NOUN
ejpam-6192	77	20	related	relate	VERB
ejpam-6192	77	21	to	to	ADP
ejpam-6192	77	22	the	the	DET
ejpam-6192	77	23	stream	stream	NOUN
ejpam-6192	77	24	function	function	NOUN
ejpam-6192	77	25	via	via	ADP
ejpam-6192	77	26	the	the	DET
ejpam-6192	77	27	laplace	laplace	NOUN
ejpam-6192	77	28	operator	operator	NOUN
ejpam-6192	77	29	:	:	PUNCT
ejpam-6192	78	1	∆ψ	∆ψ	PROPN
ejpam-6192	78	2	=	=	SYM
ejpam-6192	78	3	ω	ω	PROPN
ejpam-6192	78	4	.	.	PUNCT
ejpam-6192	79	1	the	the	DET
ejpam-6192	79	2	inpainting	inpainting	ADJ
ejpam-6192	79	3	problem	problem	NOUN
ejpam-6192	79	4	in	in	ADP
ejpam-6192	79	5	[	[	X
ejpam-6192	79	6	9	9	NUM
ejpam-6192	79	7	]	]	PUNCT
ejpam-6192	79	8	focuses	focus	VERB
ejpam-6192	79	9	on	on	ADP
ejpam-6192	79	10	propagating	propagate	VERB
ejpam-6192	79	11	smoothness	smoothness	ADJ
ejpam-6192	79	12	information	information	NOUN
ejpam-6192	79	13	∆i	∆i	PROPN
ejpam-6192	79	14	in	in	ADP
ejpam-6192	79	15	the	the	DET
ejpam-6192	79	16	direction	direction	NOUN
ejpam-6192	79	17	of	of	ADP
ejpam-6192	79	18	the	the	DET
ejpam-6192	79	19	isophotes	isophote	NOUN
ejpam-6192	79	20	∇⊥i	∇⊥i	NOUN
ejpam-6192	79	21	(	(	PUNCT
ejpam-6192	79	22	see	see	VERB
ejpam-6192	79	23	1	1	NUM
ejpam-6192	79	24	)	)	PUNCT
ejpam-6192	79	25	.	.	PUNCT
ejpam-6192	80	1	let	let	VERB
ejpam-6192	80	2	i0	i0	PROPN
ejpam-6192	80	3	denote	denote	VERB
ejpam-6192	80	4	the	the	DET
ejpam-6192	80	5	original	original	ADJ
ejpam-6192	80	6	image	image	NOUN
ejpam-6192	80	7	,	,	PUNCT
ejpam-6192	80	8	and	and	CCONJ
ejpam-6192	80	9	let	let	VERB
ejpam-6192	80	10	ω	ω	NOUN
ejpam-6192	80	11	represent	represent	VERB
ejpam-6192	80	12	a	a	DET
ejpam-6192	80	13	region	region	NOUN
ejpam-6192	80	14	within	within	ADP
ejpam-6192	80	15	the	the	DET
ejpam-6192	80	16	image	image	NOUN
ejpam-6192	80	17	where	where	SCONJ
ejpam-6192	80	18	inpainting	inpainte	VERB
ejpam-6192	80	19	is	be	AUX
ejpam-6192	80	20	desired	desire	VERB
ejpam-6192	80	21	based	base	VERB
ejpam-6192	80	22	on	on	ADP
ejpam-6192	80	23	the	the	DET
ejpam-6192	80	24	surrounding	surround	VERB
ejpam-6192	80	25	data	datum	NOUN
ejpam-6192	80	26	.	.	PUNCT
ejpam-6192	81	1	for	for	ADP
ejpam-6192	81	2	an	an	DET
ejpam-6192	81	3	image	image	NOUN
ejpam-6192	81	4	intensity	intensity	NOUN
ejpam-6192	81	5	function	function	NOUN
ejpam-6192	81	6	i	i	PRON
ejpam-6192	81	7	:	:	PUNCT
ejpam-6192	81	8	ω→	ω→	PUNCT
ejpam-6192	81	9	r	r	PROPN
ejpam-6192	81	10	,	,	PUNCT
ejpam-6192	81	11	the	the	DET
ejpam-6192	81	12	grayscale	grayscale	NOUN
ejpam-6192	81	13	values	value	NOUN
ejpam-6192	81	14	within	within	ADP
ejpam-6192	81	15	ω	ω	PROPN
ejpam-6192	81	16	are	be	AUX
ejpam-6192	81	17	determined	determine	VERB
ejpam-6192	81	18	by	by	ADP
ejpam-6192	81	19	the	the	DET
ejpam-6192	81	20	smoothness	smoothness	ADJ
ejpam-6192	81	21	criterion	criterion	NOUN
ejpam-6192	81	22	within	within	ADP
ejpam-6192	81	23	ω	ω	PROPN
ejpam-6192	81	24	and	and	CCONJ
ejpam-6192	81	25	boundary	boundary	ADJ
ejpam-6192	81	26	values	value	NOUN
ejpam-6192	81	27	on	on	ADP
ejpam-6192	81	28	∂ω	∂ω	ADJ
ejpam-6192	81	29	,	,	PUNCT
ejpam-6192	81	30	rather	rather	ADV
ejpam-6192	81	31	than	than	ADP
ejpam-6192	81	32	by	by	ADP
ejpam-6192	81	33	restoration	restoration	NOUN
ejpam-6192	81	34	methods	method	NOUN
ejpam-6192	81	35	.	.	PUNCT
ejpam-6192	82	1	mathematically	mathematically	ADV
ejpam-6192	82	2	,	,	PUNCT
ejpam-6192	82	3	this	this	DET
ejpam-6192	82	4	inpainting	inpainting	ADJ
ejpam-6192	82	5	criterion	criterion	NOUN
ejpam-6192	82	6	is	be	AUX
ejpam-6192	82	7	expressed	express	VERB
ejpam-6192	82	8	as	as	ADP
ejpam-6192	82	9	:	:	PUNCT
ejpam-6192	82	10	∇⊥i	∇⊥i	NOUN
ejpam-6192	82	11	·	·	PUNCT
ejpam-6192	82	12	∇∆i	∇∆i	NOUN
ejpam-6192	82	13	=	=	NOUN
ejpam-6192	82	14	0	0	NUM
ejpam-6192	83	1	on	on	ADP
ejpam-6192	83	2	ω	ω	PROPN
ejpam-6192	83	3	(	(	PUNCT
ejpam-6192	83	4	3	3	NUM
ejpam-6192	83	5	)	)	PUNCT
ejpam-6192	83	6	with	with	ADP
ejpam-6192	83	7	boundary	boundary	ADJ
ejpam-6192	83	8	condition	condition	NOUN
ejpam-6192	83	9	i	i	PRON
ejpam-6192	83	10	=	=	SYM
ejpam-6192	83	11	i0	i0	PROPN
ejpam-6192	83	12	on	on	ADP
ejpam-6192	83	13	∂ω	∂ω	PROPN
ejpam-6192	83	14	(	(	PUNCT
ejpam-6192	83	15	4	4	NUM
ejpam-6192	83	16	)	)	PUNCT
ejpam-6192	83	17	a	a	DET
ejpam-6192	83	18	generalization	generalization	NOUN
ejpam-6192	83	19	of	of	ADP
ejpam-6192	83	20	eq.(3	eq.(3	NOUN
ejpam-6192	83	21	)	)	PUNCT
ejpam-6192	83	22	was	be	AUX
ejpam-6192	83	23	proposed	propose	VERB
ejpam-6192	83	24	in	in	ADP
ejpam-6192	83	25	[	[	X
ejpam-6192	83	26	10	10	NUM
ejpam-6192	83	27	]	]	PUNCT
ejpam-6192	83	28	,	,	PUNCT
ejpam-6192	83	29	introducing	introduce	VERB
ejpam-6192	83	30	an	an	DET
ejpam-6192	83	31	anisotropic	anisotropic	NOUN
ejpam-6192	83	32	diffusion	diffusion	NOUN
ejpam-6192	83	33	term	term	NOUN
ejpam-6192	83	34	in	in	ADP
ejpam-6192	83	35	the	the	DET
ejpam-6192	83	36	image	image	NOUN
ejpam-6192	83	37	i.	i.	NOUN
ejpam-6192	83	38	this	this	DET
ejpam-6192	83	39	generalization	generalization	NOUN
ejpam-6192	83	40	is	be	AUX
ejpam-6192	83	41	formulated	formulate	VERB
ejpam-6192	83	42	as	as	ADP
ejpam-6192	83	43	:	:	PUNCT
ejpam-6192	83	44	it	it	PRON
ejpam-6192	83	45	=	=	PUNCT
ejpam-6192	83	46	∇⊥i	∇⊥i	NOUN
ejpam-6192	83	47	·	·	PUNCT
ejpam-6192	84	1	∇∆i	∇∆i	ADJ
ejpam-6192	84	2	+	+	CCONJ
ejpam-6192	84	3	ν∇	ν∇	PROPN
ejpam-6192	84	4	·	·	PUNCT
ejpam-6192	84	5	(	(	PUNCT
ejpam-6192	84	6	g(|∇i|)∇i	g(|∇i|)∇i	ADJ
ejpam-6192	84	7	)	)	PUNCT
ejpam-6192	84	8	(	(	PUNCT
ejpam-6192	84	9	5	5	NUM
ejpam-6192	84	10	)	)	PUNCT
ejpam-6192	84	11	where	where	SCONJ
ejpam-6192	84	12	g	g	PROPN
ejpam-6192	84	13	allows	allow	VERB
ejpam-6192	84	14	for	for	ADP
ejpam-6192	84	15	anisotropic	anisotropic	NOUN
ejpam-6192	84	16	diffusion	diffusion	NOUN
ejpam-6192	84	17	,	,	PUNCT
ejpam-6192	84	18	preserving	preserve	VERB
ejpam-6192	84	19	edges	edge	NOUN
ejpam-6192	84	20	while	while	SCONJ
ejpam-6192	84	21	diffusing	diffuse	VERB
ejpam-6192	84	22	smoothness	smoothness	ADJ
ejpam-6192	84	23	∆i	∆i	PROPN
ejpam-6192	84	24	.	.	PROPN
ejpam-6192	85	1	3.2	3.2	NUM
ejpam-6192	85	2	.	.	PUNCT
ejpam-6192	86	1	inpainting	inpainte	VERB
ejpam-6192	86	2	analogy	analogy	NOUN
ejpam-6192	86	3	the	the	DET
ejpam-6192	86	4	notable	notable	ADJ
ejpam-6192	86	5	resemblance	resemblance	NOUN
ejpam-6192	86	6	between	between	ADP
ejpam-6192	86	7	eq.(2	eq.(2	NUM
ejpam-6192	86	8	)	)	PUNCT
ejpam-6192	86	9	and	and	CCONJ
ejpam-6192	86	10	the	the	DET
ejpam-6192	86	11	inpainting	inpainting	ADJ
ejpam-6192	86	12	criterion	criterion	NOUN
ejpam-6192	86	13	eq.(3	eq.(3	NOUN
ejpam-6192	86	14	)	)	PUNCT
ejpam-6192	86	15	suggests	suggest	VERB
ejpam-6192	86	16	an	an	DET
ejpam-6192	86	17	analogy	analogy	NOUN
ejpam-6192	86	18	between	between	ADP
ejpam-6192	86	19	2d	2d	NUM
ejpam-6192	86	20	incompressible	incompressible	ADJ
ejpam-6192	86	21	fluid	fluid	ADJ
ejpam-6192	86	22	flow	flow	NOUN
ejpam-6192	86	23	and	and	CCONJ
ejpam-6192	86	24	image	image	NOUN
ejpam-6192	86	25	inpainting	inpainting	NOUN
ejpam-6192	86	26	.	.	PUNCT
ejpam-6192	87	1	this	this	DET
ejpam-6192	87	2	analogy	analogy	NOUN
ejpam-6192	87	3	is	be	AUX
ejpam-6192	87	4	summarized	summarize	VERB
ejpam-6192	87	5	in	in	ADP
ejpam-6192	87	6	the	the	DET
ejpam-6192	87	7	table	table	NOUN
ejpam-6192	87	8	1	1	NUM
ejpam-6192	87	9	,	,	PUNCT
ejpam-6192	87	10	where	where	SCONJ
ejpam-6192	87	11	ψ	ψ	X
ejpam-6192	87	12	in	in	ADP
ejpam-6192	87	13	fluid	fluid	ADJ
ejpam-6192	87	14	flow	flow	NOUN
ejpam-6192	87	15	is	be	AUX
ejpam-6192	87	16	analogous	analogous	ADJ
ejpam-6192	87	17	to	to	ADP
ejpam-6192	87	18	the	the	DET
ejpam-6192	87	19	image	image	NOUN
ejpam-6192	87	20	matrix	matrix	NOUN
ejpam-6192	87	21	i	i	PRON
ejpam-6192	87	22	in	in	ADP
ejpam-6192	87	23	inpainting	inpainte	VERB
ejpam-6192	87	24	.	.	PUNCT
ejpam-6192	88	1	in	in	ADP
ejpam-6192	88	2	image	image	NOUN
ejpam-6192	88	3	processing	processing	NOUN
ejpam-6192	88	4	terms	term	NOUN
ejpam-6192	88	5	,	,	PUNCT
ejpam-6192	88	6	we	we	PRON
ejpam-6192	88	7	now	now	ADV
ejpam-6192	88	8	present	present	VERB
ejpam-6192	88	9	an	an	DET
ejpam-6192	88	10	analogue	analogue	NOUN
ejpam-6192	88	11	to	to	ADP
ejpam-6192	88	12	the	the	DET
ejpam-6192	88	13	vorticity	vorticity	NOUN
ejpam-6192	88	14	-	-	PUNCT
ejpam-6192	88	15	stream	stream	NOUN
ejpam-6192	88	16	function	function	NOUN
ejpam-6192	88	17	formulation	formulation	NOUN
ejpam-6192	88	18	(	(	PUNCT
ejpam-6192	88	19	1	1	NUM
ejpam-6192	88	20	):	):	PUNCT
ejpam-6192	88	21	∂ω	∂ω	PROPN
ejpam-6192	88	22	∂t	∂t	PROPN
ejpam-6192	88	23	+	+	CCONJ
ejpam-6192	88	24	u⃗.∇ω	u⃗.∇ω	PROPN
ejpam-6192	88	25	=	=	SYM
ejpam-6192	88	26	ν∇.(g(|∇ω|)∇ω	ν∇.(g(|∇ω|)∇ω	PROPN
ejpam-6192	88	27	)	)	PUNCT
ejpam-6192	88	28	on	on	ADP
ejpam-6192	88	29	ω	ω	NUM
ejpam-6192	88	30	,	,	PUNCT
ejpam-6192	88	31	(	(	PUNCT
ejpam-6192	88	32	6	6	NUM
ejpam-6192	88	33	)	)	PUNCT
ejpam-6192	88	34	where	where	SCONJ
ejpam-6192	88	35	g	g	PROPN
ejpam-6192	88	36	provides	provide	VERB
ejpam-6192	88	37	anisotropic	anisotropic	NOUN
ejpam-6192	88	38	diffusion	diffusion	NOUN
ejpam-6192	88	39	of	of	ADP
ejpam-6192	88	40	the	the	DET
ejpam-6192	88	41	smoothness	smoothness	PROPN
ejpam-6192	88	42	ω	ω	NOUN
ejpam-6192	88	43	or	or	CCONJ
ejpam-6192	88	44	enables	enable	VERB
ejpam-6192	88	45	edge	edge	NOUN
ejpam-6192	88	46	-	-	PUNCT
ejpam-6192	88	47	preserving	preserve	VERB
ejpam-6192	88	48	diffusion	diffusion	NOUN
ejpam-6192	88	49	.	.	PUNCT
ejpam-6192	89	1	y.	y.	PROPN
ejpam-6192	89	2	douich	douich	PROPN
ejpam-6192	89	3	et	et	PROPN
ejpam-6192	89	4	al	al	PROPN
ejpam-6192	89	5	.	.	PUNCT
ejpam-6192	89	6	/	/	SYM
ejpam-6192	89	7	eur	eur	PROPN
ejpam-6192	89	8	.	.	PUNCT
ejpam-6192	90	1	j.	j.	PROPN
ejpam-6192	90	2	pure	pure	PROPN
ejpam-6192	90	3	appl	appl	PROPN
ejpam-6192	90	4	.	.	PROPN
ejpam-6192	90	5	math	math	PROPN
ejpam-6192	90	6	,	,	PUNCT
ejpam-6192	90	7	18	18	NUM
ejpam-6192	90	8	(	(	PUNCT
ejpam-6192	90	9	3	3	NUM
ejpam-6192	90	10	)	)	PUNCT
ejpam-6192	90	11	(	(	PUNCT
ejpam-6192	90	12	2025	2025	NUM
ejpam-6192	90	13	)	)	PUNCT
ejpam-6192	90	14	,	,	PUNCT
ejpam-6192	90	15	6192	6192	NUM
ejpam-6192	90	16	5	5	NUM
ejpam-6192	90	17	of	of	ADP
ejpam-6192	90	18	32	32	NUM
ejpam-6192	90	19	table	table	NOUN
ejpam-6192	90	20	1	1	NUM
ejpam-6192	90	21	:	:	PUNCT
ejpam-6192	90	22	analogy	analogy	NOUN
ejpam-6192	90	23	between	between	ADP
ejpam-6192	90	24	fluid	fluid	ADJ
ejpam-6192	90	25	dynamics	dynamic	NOUN
ejpam-6192	90	26	and	and	CCONJ
ejpam-6192	90	27	image	image	NOUN
ejpam-6192	90	28	inpainting	inpainte	VERB
ejpam-6192	90	29	c	c	PROPN
ejpam-6192	90	30	aspect	aspect	NOUN
ejpam-6192	90	31	fluid	fluid	NOUN
ejpam-6192	90	32	dynamics	dynamic	NOUN
ejpam-6192	90	33	image	image	NOUN
ejpam-6192	90	34	inpainting	inpainte	VERB
ejpam-6192	90	35	physical	physical	ADJ
ejpam-6192	90	36	quantity	quantity	NOUN
ejpam-6192	90	37	stream	stream	NOUN
ejpam-6192	90	38	function	function	NOUN
ejpam-6192	90	39	(	(	PUNCT
ejpam-6192	90	40	ψ	ψ	NOUN
ejpam-6192	90	41	)	)	PUNCT
ejpam-6192	90	42	image	image	NOUN
ejpam-6192	90	43	intensity	intensity	NOUN
ejpam-6192	90	44	(	(	PUNCT
ejpam-6192	90	45	i	i	NOUN
ejpam-6192	90	46	)	)	PUNCT
ejpam-6192	90	47	directional	directional	ADJ
ejpam-6192	90	48	flow	flow	NOUN
ejpam-6192	90	49	fluid	fluid	NOUN
ejpam-6192	90	50	velocity	velocity	NOUN
ejpam-6192	90	51	(	(	PUNCT
ejpam-6192	90	52	u	u	NOUN
ejpam-6192	90	53	=	=	PROPN
ejpam-6192	90	54	∇⊥ψ	∇⊥ψ	PROPN
ejpam-6192	90	55	)	)	PUNCT
ejpam-6192	90	56	isophote	isophote	VERB
ejpam-6192	90	57	direction	direction	NOUN
ejpam-6192	90	58	(	(	PUNCT
ejpam-6192	90	59	∇⊥i	∇⊥i	NOUN
ejpam-6192	90	60	)	)	PUNCT
ejpam-6192	90	61	smoothness	smoothness	ADJ
ejpam-6192	90	62	operator	operator	NOUN
ejpam-6192	90	63	vorticity	vorticity	NOUN
ejpam-6192	90	64	(	(	PUNCT
ejpam-6192	90	65	ω	ω	NOUN
ejpam-6192	90	66	=	=	SYM
ejpam-6192	90	67	∆ψ	∆ψ	PROPN
ejpam-6192	90	68	)	)	PUNCT
ejpam-6192	90	69	smoothness	smoothness	NOUN
ejpam-6192	90	70	(	(	PUNCT
ejpam-6192	90	71	ω	ω	NOUN
ejpam-6192	90	72	=	=	SYM
ejpam-6192	90	73	∆i	∆i	PROPN
ejpam-6192	90	74	)	)	PUNCT
ejpam-6192	90	75	diffusion	diffusion	NOUN
ejpam-6192	90	76	coefficient	coefficient	NOUN
ejpam-6192	90	77	viscosity	viscosity	NOUN
ejpam-6192	90	78	(	(	PUNCT
ejpam-6192	90	79	ν	ν	NOUN
ejpam-6192	90	80	)	)	PUNCT
ejpam-6192	90	81	anisotropic	anisotropic	NOUN
ejpam-6192	90	82	diffusion	diffusion	NOUN
ejpam-6192	90	83	(	(	PUNCT
ejpam-6192	90	84	ν	ν	NOUN
ejpam-6192	90	85	)	)	PUNCT
ejpam-6192	90	86	the	the	DET
ejpam-6192	90	87	image	image	NOUN
ejpam-6192	90	88	intensity	intensity	NOUN
ejpam-6192	90	89	i	i	PRON
ejpam-6192	90	90	,	,	PUNCT
ejpam-6192	90	91	which	which	PRON
ejpam-6192	90	92	determines	determine	VERB
ejpam-6192	90	93	the	the	DET
ejpam-6192	90	94	velocity	velocity	NOUN
ejpam-6192	90	95	field	field	NOUN
ejpam-6192	90	96	u⃗	u⃗	PROPN
ejpam-6192	90	97	=	=	SYM
ejpam-6192	90	98	∇⊥i	∇⊥i	PROPN
ejpam-6192	90	99	,	,	PUNCT
ejpam-6192	90	100	can	can	AUX
ejpam-6192	90	101	be	be	AUX
ejpam-6192	90	102	recovered	recover	VERB
ejpam-6192	90	103	by	by	ADP
ejpam-6192	90	104	simultaneously	simultaneously	ADV
ejpam-6192	90	105	solving	solve	VERB
ejpam-6192	90	106	the	the	DET
ejpam-6192	90	107	poisson	poisson	NOUN
ejpam-6192	90	108	problem	problem	NOUN
ejpam-6192	90	109	:	:	PUNCT
ejpam-6192	90	110	∆i	∆i	PROPN
ejpam-6192	90	111	=	=	SYM
ejpam-6192	90	112	ω	ω	PROPN
ejpam-6192	90	113	,	,	PUNCT
ejpam-6192	90	114	on	on	ADP
ejpam-6192	90	115	ω	ω	PROPN
ejpam-6192	90	116	,	,	PUNCT
ejpam-6192	90	117	i|∂ω	i|∂ω	PROPN
ejpam-6192	90	118	=	=	SYM
ejpam-6192	90	119	i0	i0	PROPN
ejpam-6192	90	120	.	.	PUNCT
ejpam-6192	91	1	(	(	PUNCT
ejpam-6192	91	2	7	7	X
ejpam-6192	91	3	)	)	PUNCT
ejpam-6192	91	4	for	for	ADP
ejpam-6192	91	5	fluid	fluid	ADJ
ejpam-6192	91	6	problems	problem	NOUN
ejpam-6192	91	7	with	with	ADP
ejpam-6192	91	8	low	low	ADJ
ejpam-6192	91	9	viscosity	viscosity	NOUN
ejpam-6192	91	10	ν	ν	NOUN
ejpam-6192	91	11	,	,	PUNCT
ejpam-6192	91	12	stabilising	stabilise	VERB
ejpam-6192	91	13	this	this	DET
ejpam-6192	91	14	formulation	formulation	NOUN
ejpam-6192	91	15	can	can	AUX
ejpam-6192	91	16	be	be	AUX
ejpam-6192	91	17	timeconsuming	timeconsuming	ADJ
ejpam-6192	91	18	,	,	PUNCT
ejpam-6192	91	19	which	which	PRON
ejpam-6192	91	20	may	may	AUX
ejpam-6192	91	21	restrict	restrict	VERB
ejpam-6192	91	22	its	its	PRON
ejpam-6192	91	23	practical	practical	ADJ
ejpam-6192	91	24	applicability	applicability	NOUN
ejpam-6192	91	25	.	.	PUNCT
ejpam-6192	92	1	a	a	DET
ejpam-6192	92	2	viable	viable	ADJ
ejpam-6192	92	3	alternative	alternative	NOUN
ejpam-6192	92	4	is	be	AUX
ejpam-6192	92	5	to	to	PART
ejpam-6192	92	6	adopt	adopt	VERB
ejpam-6192	92	7	a	a	DET
ejpam-6192	92	8	pseudo	pseudo	NOUN
ejpam-6192	92	9	-	-	ADJ
ejpam-6192	92	10	steady	steady	ADJ
ejpam-6192	92	11	approach	approach	NOUN
ejpam-6192	92	12	,	,	PUNCT
ejpam-6192	92	13	replacing	replace	VERB
ejpam-6192	92	14	the	the	DET
ejpam-6192	92	15	poisson	poisson	NOUN
ejpam-6192	92	16	equation	equation	NOUN
ejpam-6192	92	17	(	(	PUNCT
ejpam-6192	92	18	7	7	NUM
ejpam-6192	92	19	)	)	PUNCT
ejpam-6192	92	20	with	with	ADP
ejpam-6192	92	21	a	a	DET
ejpam-6192	92	22	dynamic	dynamic	ADJ
ejpam-6192	92	23	relaxation	relaxation	NOUN
ejpam-6192	92	24	method	method	NOUN
ejpam-6192	92	25	based	base	VERB
ejpam-6192	92	26	on	on	ADP
ejpam-6192	92	27	the	the	DET
ejpam-6192	92	28	heat	heat	NOUN
ejpam-6192	92	29	equation	equation	NOUN
ejpam-6192	92	30	:	:	PUNCT
ejpam-6192	92	31	∂i	∂i	PROPN
ejpam-6192	92	32	∂t	∂t	PROPN
ejpam-6192	92	33	−	−	PROPN
ejpam-6192	92	34	α(∆i	α(∆i	NOUN
ejpam-6192	92	35	+	+	X
ejpam-6192	92	36	ω	ω	X
ejpam-6192	92	37	)	)	PUNCT
ejpam-6192	92	38	=	=	SYM
ejpam-6192	92	39	0	0	NUM
ejpam-6192	92	40	,	,	PUNCT
ejpam-6192	92	41	α	α	NOUN
ejpam-6192	92	42	>	>	X
ejpam-6192	92	43	0	0	PROPN
ejpam-6192	92	44	,	,	PUNCT
ejpam-6192	92	45	i|∂ω	i|∂ω	PROPN
ejpam-6192	92	46	=	=	SYM
ejpam-6192	92	47	i0	i0	PROPN
ejpam-6192	92	48	,	,	PUNCT
ejpam-6192	92	49	(	(	PUNCT
ejpam-6192	92	50	8)	8)	NUM
ejpam-6192	92	51	where	where	SCONJ
ejpam-6192	92	52	α	α	NOUN
ejpam-6192	92	53	,	,	PUNCT
ejpam-6192	92	54	the	the	DET
ejpam-6192	92	55	thermal	thermal	ADJ
ejpam-6192	92	56	diffusivity	diffusivity	NOUN
ejpam-6192	92	57	,	,	PUNCT
ejpam-6192	92	58	serves	serve	VERB
ejpam-6192	92	59	as	as	ADP
ejpam-6192	92	60	a	a	DET
ejpam-6192	92	61	relaxation	relaxation	NOUN
ejpam-6192	92	62	parameter	parameter	NOUN
ejpam-6192	92	63	that	that	PRON
ejpam-6192	92	64	regulates	regulate	VERB
ejpam-6192	92	65	the	the	DET
ejpam-6192	92	66	rate	rate	NOUN
ejpam-6192	92	67	of	of	ADP
ejpam-6192	92	68	convergence	convergence	NOUN
ejpam-6192	92	69	.	.	PUNCT
ejpam-6192	93	1	3.3	3.3	NUM
ejpam-6192	93	2	.	.	PUNCT
ejpam-6192	94	1	boundary	boundary	ADJ
ejpam-6192	94	2	conditions	condition	NOUN
ejpam-6192	94	3	in	in	ADP
ejpam-6192	94	4	the	the	DET
ejpam-6192	94	5	navier	navier	NOUN
ejpam-6192	94	6	-	-	PUNCT
ejpam-6192	94	7	stokes	stokes	PROPN
ejpam-6192	94	8	-	-	PUNCT
ejpam-6192	94	9	based	base	VERB
ejpam-6192	94	10	inpainting	inpainting	ADJ
ejpam-6192	94	11	method	method	NOUN
ejpam-6192	94	12	,	,	PUNCT
ejpam-6192	94	13	continuity	continuity	NOUN
ejpam-6192	94	14	across	across	ADP
ejpam-6192	94	15	the	the	DET
ejpam-6192	94	16	boundary	boundary	NOUN
ejpam-6192	94	17	is	be	AUX
ejpam-6192	94	18	inherently	inherently	ADV
ejpam-6192	94	19	preserved	preserve	VERB
ejpam-6192	94	20	.	.	PUNCT
ejpam-6192	95	1	for	for	ADP
ejpam-6192	95	2	instance	instance	NOUN
ejpam-6192	95	3	,	,	PUNCT
ejpam-6192	95	4	when	when	SCONJ
ejpam-6192	95	5	the	the	DET
ejpam-6192	95	6	boundary	boundary	ADJ
ejpam-6192	95	7	condition	condition	NOUN
ejpam-6192	95	8	is	be	AUX
ejpam-6192	95	9	defined	define	VERB
ejpam-6192	95	10	by	by	ADP
ejpam-6192	95	11	setting	set	VERB
ejpam-6192	95	12	the	the	DET
ejpam-6192	95	13	velocity	velocity	NOUN
ejpam-6192	95	14	field	field	NOUN
ejpam-6192	95	15	as	as	ADP
ejpam-6192	95	16	u⃗	u⃗	PROPN
ejpam-6192	95	17	=	=	SYM
ejpam-6192	95	18	∇⊥i	∇⊥i	NOUN
ejpam-6192	95	19	along	along	ADP
ejpam-6192	95	20	∂ω	∂ω	PROPN
ejpam-6192	95	21	,	,	PUNCT
ejpam-6192	95	22	solving	solve	VERB
ejpam-6192	95	23	the	the	DET
ejpam-6192	95	24	inpainting	inpainting	ADJ
ejpam-6192	95	25	equation	equation	NOUN
ejpam-6192	95	26	6	6	NUM
ejpam-6192	95	27	under	under	ADP
ejpam-6192	95	28	this	this	DET
ejpam-6192	95	29	constraint	constraint	NOUN
ejpam-6192	95	30	results	result	NOUN
ejpam-6192	95	31	not	not	PART
ejpam-6192	95	32	only	only	ADV
ejpam-6192	95	33	in	in	ADP
ejpam-6192	95	34	continuous	continuous	ADJ
ejpam-6192	95	35	isophotes	isophote	NOUN
ejpam-6192	95	36	but	but	CCONJ
ejpam-6192	95	37	also	also	ADV
ejpam-6192	95	38	in	in	ADP
ejpam-6192	95	39	an	an	DET
ejpam-6192	95	40	image	image	NOUN
ejpam-6192	95	41	intensity	intensity	NOUN
ejpam-6192	95	42	function	function	NOUN
ejpam-6192	95	43	that	that	PRON
ejpam-6192	95	44	remains	remain	VERB
ejpam-6192	95	45	smooth	smooth	ADJ
ejpam-6192	95	46	across	across	ADP
ejpam-6192	95	47	the	the	DET
ejpam-6192	95	48	boundary	boundary	ADJ
ejpam-6192	95	49	∂ω	∂ω	PROPN
ejpam-6192	95	50	.	.	PUNCT
ejpam-6192	96	1	moreover	moreover	ADV
ejpam-6192	96	2	,	,	PUNCT
ejpam-6192	96	3	a	a	DET
ejpam-6192	96	4	second	second	ADJ
ejpam-6192	96	5	boundary	boundary	ADJ
ejpam-6192	96	6	condition	condition	NOUN
ejpam-6192	96	7	of	of	ADP
ejpam-6192	96	8	dirichlet	dirichlet	PROPN
ejpam-6192	96	9	type	type	NOUN
ejpam-6192	96	10	is	be	AUX
ejpam-6192	96	11	applied	apply	VERB
ejpam-6192	96	12	for	for	ADP
ejpam-6192	96	13	the	the	DET
ejpam-6192	96	14	heat	heat	NOUN
ejpam-6192	96	15	equation	equation	NOUN
ejpam-6192	96	16	8	8	NUM
ejpam-6192	96	17	.	.	PUNCT
ejpam-6192	97	1	both	both	DET
ejpam-6192	97	2	types	type	NOUN
ejpam-6192	97	3	of	of	ADP
ejpam-6192	97	4	boundary	boundary	ADJ
ejpam-6192	97	5	conditions	condition	NOUN
ejpam-6192	97	6	are	be	AUX
ejpam-6192	97	7	treated	treat	VERB
ejpam-6192	97	8	at	at	ADP
ejpam-6192	97	9	the	the	DET
ejpam-6192	97	10	microscopic	microscopic	ADJ
ejpam-6192	97	11	level	level	NOUN
ejpam-6192	97	12	using	use	VERB
ejpam-6192	97	13	distribution	distribution	NOUN
ejpam-6192	97	14	functions	function	NOUN
ejpam-6192	97	15	,	,	PUNCT
ejpam-6192	97	16	as	as	SCONJ
ejpam-6192	97	17	described	describe	VERB
ejpam-6192	97	18	in	in	ADP
ejpam-6192	97	19	subsection	subsection	NOUN
ejpam-6192	97	20	4.4	4.4	NUM
ejpam-6192	97	21	.	.	PUNCT
ejpam-6192	98	1	in	in	ADP
ejpam-6192	98	2	the	the	DET
ejpam-6192	98	3	subsequent	subsequent	ADJ
ejpam-6192	98	4	section	section	NOUN
ejpam-6192	98	5	,	,	PUNCT
ejpam-6192	98	6	we	we	PRON
ejpam-6192	98	7	rigorously	rigorously	ADV
ejpam-6192	98	8	recover	recover	VERB
ejpam-6192	98	9	the	the	DET
ejpam-6192	98	10	vorticity	vorticity	NOUN
ejpam-6192	98	11	–	–	PUNCT
ejpam-6192	98	12	stream	stream	NOUN
ejpam-6192	98	13	function	function	NOUN
ejpam-6192	98	14	formulation	formulation	NOUN
ejpam-6192	98	15	(	(	PUNCT
ejpam-6192	98	16	6	6	NUM
ejpam-6192	98	17	)	)	PUNCT
ejpam-6192	98	18	and	and	CCONJ
ejpam-6192	98	19	the	the	DET
ejpam-6192	98	20	parabolic	parabolic	ADJ
ejpam-6192	98	21	equation	equation	NOUN
ejpam-6192	98	22	(	(	PUNCT
ejpam-6192	98	23	8)	8)	NUM
ejpam-6192	98	24	via	via	ADP
ejpam-6192	98	25	the	the	DET
ejpam-6192	98	26	chapman	chapman	PROPN
ejpam-6192	98	27	–	–	PUNCT
ejpam-6192	98	28	enskog	enskog	PROPN
ejpam-6192	98	29	asymptotic	asymptotic	ADJ
ejpam-6192	98	30	expansion	expansion	NOUN
ejpam-6192	98	31	,	,	PUNCT
ejpam-6192	98	32	utilizing	utilize	VERB
ejpam-6192	98	33	the	the	DET
ejpam-6192	98	34	lattice	lattice	NOUN
ejpam-6192	98	35	boltzmann	boltzmann	PROPN
ejpam-6192	98	36	models	model	NOUN
ejpam-6192	98	37	{	{	PUNCT
ejpam-6192	98	38	d2qm}m=5,9	d2qm}m=5,9	PROPN
ejpam-6192	98	39	(	(	PUNCT
ejpam-6192	98	40	refer	refer	VERB
ejpam-6192	98	41	to	to	PART
ejpam-6192	98	42	figure	figure	VERB
ejpam-6192	98	43	3	3	NUM
ejpam-6192	98	44	)	)	PUNCT
ejpam-6192	98	45	.	.	PUNCT
ejpam-6192	99	1	4	4	X
ejpam-6192	99	2	.	.	X
ejpam-6192	99	3	lattice	lattice	PROPN
ejpam-6192	99	4	boltzmann	boltzmann	PROPN
ejpam-6192	99	5	method	method	PROPN
ejpam-6192	99	6	framework	framework	VERB
ejpam-6192	99	7	the	the	DET
ejpam-6192	99	8	lattice	lattice	PROPN
ejpam-6192	99	9	boltzmann	boltzmann	PROPN
ejpam-6192	99	10	method	method	PROPN
ejpam-6192	99	11	(	(	PUNCT
ejpam-6192	99	12	lbm	lbm	NOUN
ejpam-6192	99	13	)	)	PUNCT
ejpam-6192	99	14	operates	operate	VERB
ejpam-6192	99	15	on	on	ADP
ejpam-6192	99	16	a	a	DET
ejpam-6192	99	17	discretized	discretized	ADJ
ejpam-6192	99	18	phase	phase	NOUN
ejpam-6192	99	19	space	space	NOUN
ejpam-6192	99	20	defined	define	VERB
ejpam-6192	99	21	over	over	ADP
ejpam-6192	99	22	a	a	DET
ejpam-6192	99	23	uniform	uniform	ADJ
ejpam-6192	99	24	dnqm	dnqm	PROPN
ejpam-6192	99	25	lattice	lattice	PROPN
ejpam-6192	99	26	,	,	PUNCT
ejpam-6192	99	27	where	where	SCONJ
ejpam-6192	99	28	m	m	PROPN
ejpam-6192	99	29	denotes	denote	VERB
ejpam-6192	99	30	the	the	DET
ejpam-6192	99	31	discrete	discrete	ADJ
ejpam-6192	99	32	velocity	velocity	NOUN
ejpam-6192	99	33	directions	direction	NOUN
ejpam-6192	99	34	in	in	ADP
ejpam-6192	99	35	an	an	DET
ejpam-6192	99	36	ndimensional	ndimensional	ADJ
ejpam-6192	99	37	spatial	spatial	ADJ
ejpam-6192	99	38	domain	domain	NOUN
ejpam-6192	99	39	.	.	PUNCT
ejpam-6192	100	1	for	for	ADP
ejpam-6192	100	2	two	two	NUM
ejpam-6192	100	3	-	-	PUNCT
ejpam-6192	100	4	dimensional	dimensional	ADJ
ejpam-6192	100	5	problems	problem	NOUN
ejpam-6192	100	6	,	,	PUNCT
ejpam-6192	100	7	the	the	DET
ejpam-6192	100	8	d2q5	d2q5	PROPN
ejpam-6192	100	9	and	and	CCONJ
ejpam-6192	100	10	d2q9	d2q9	NOUN
ejpam-6192	100	11	lattice	lattice	PROPN
ejpam-6192	100	12	y.	y.	PROPN
ejpam-6192	100	13	douich	douich	PROPN
ejpam-6192	100	14	et	et	PROPN
ejpam-6192	100	15	al	al	PROPN
ejpam-6192	100	16	.	.	PUNCT
ejpam-6192	100	17	/	/	SYM
ejpam-6192	100	18	eur	eur	PROPN
ejpam-6192	100	19	.	.	PUNCT
ejpam-6192	101	1	j.	j.	PROPN
ejpam-6192	101	2	pure	pure	PROPN
ejpam-6192	101	3	appl	appl	PROPN
ejpam-6192	101	4	.	.	PROPN
ejpam-6192	101	5	math	math	PROPN
ejpam-6192	101	6	,	,	PUNCT
ejpam-6192	101	7	18	18	NUM
ejpam-6192	101	8	(	(	PUNCT
ejpam-6192	101	9	3	3	NUM
ejpam-6192	101	10	)	)	PUNCT
ejpam-6192	101	11	(	(	PUNCT
ejpam-6192	101	12	2025	2025	NUM
ejpam-6192	101	13	)	)	PUNCT
ejpam-6192	101	14	,	,	PUNCT
ejpam-6192	101	15	6192	6192	NUM
ejpam-6192	101	16	6	6	NUM
ejpam-6192	101	17	of	of	ADP
ejpam-6192	101	18	32	32	NUM
ejpam-6192	101	19	figure	figure	NOUN
ejpam-6192	101	20	1	1	NUM
ejpam-6192	101	21	:	:	PUNCT
ejpam-6192	101	22	illustration	illustration	NOUN
ejpam-6192	101	23	of	of	ADP
ejpam-6192	101	24	the	the	DET
ejpam-6192	101	25	inpainting	inpainting	ADJ
ejpam-6192	101	26	mechanism	mechanism	NOUN
ejpam-6192	101	27	where	where	SCONJ
ejpam-6192	101	28	the	the	DET
ejpam-6192	101	29	smoothness	smoothness	ADJ
ejpam-6192	101	30	information	information	NOUN
ejpam-6192	101	31	∆i	∆i	PROPN
ejpam-6192	101	32	propagates	propagate	VERB
ejpam-6192	101	33	along	along	ADP
ejpam-6192	101	34	the	the	DET
ejpam-6192	101	35	isophote	isophote	ADJ
ejpam-6192	101	36	directions	direction	NOUN
ejpam-6192	101	37	∇⊥i	∇⊥i	PROPN
ejpam-6192	101	38	,	,	PUNCT
ejpam-6192	101	39	from	from	ADP
ejpam-6192	101	40	the	the	DET
ejpam-6192	101	41	known	know	VERB
ejpam-6192	101	42	boundary	boundary	NOUN
ejpam-6192	101	43	∂ω	∂ω	PROPN
ejpam-6192	101	44	toward	toward	ADP
ejpam-6192	101	45	the	the	DET
ejpam-6192	101	46	interior	interior	NOUN
ejpam-6192	101	47	of	of	ADP
ejpam-6192	101	48	the	the	DET
ejpam-6192	101	49	missing	miss	VERB
ejpam-6192	101	50	region	region	NOUN
ejpam-6192	101	51	ω	ω	PROPN
ejpam-6192	101	52	.	.	PUNCT
ejpam-6192	102	1	configurations	configuration	NOUN
ejpam-6192	102	2	are	be	AUX
ejpam-6192	102	3	employed	employ	VERB
ejpam-6192	102	4	,	,	PUNCT
ejpam-6192	102	5	as	as	SCONJ
ejpam-6192	102	6	they	they	PRON
ejpam-6192	102	7	are	be	AUX
ejpam-6192	102	8	well	well	ADV
ejpam-6192	102	9	-	-	PUNCT
ejpam-6192	102	10	suited	suit	VERB
ejpam-6192	102	11	for	for	ADP
ejpam-6192	102	12	modeling	model	VERB
ejpam-6192	102	13	advection	advection	NOUN
ejpam-6192	102	14	-	-	PUNCT
ejpam-6192	102	15	diffusion	diffusion	NOUN
ejpam-6192	102	16	and	and	CCONJ
ejpam-6192	102	17	heat	heat	NOUN
ejpam-6192	102	18	transfer	transfer	NOUN
ejpam-6192	102	19	phenomena	phenomenon	NOUN
ejpam-6192	102	20	.	.	PUNCT
ejpam-6192	103	1	a	a	DET
ejpam-6192	103	2	summary	summary	NOUN
ejpam-6192	103	3	of	of	ADP
ejpam-6192	103	4	these	these	DET
ejpam-6192	103	5	discrete	discrete	ADJ
ejpam-6192	103	6	velocity	velocity	NOUN
ejpam-6192	103	7	models	model	NOUN
ejpam-6192	103	8	is	be	AUX
ejpam-6192	103	9	presented	present	VERB
ejpam-6192	103	10	in	in	ADP
ejpam-6192	103	11	table	table	NOUN
ejpam-6192	103	12	3	3	NUM
ejpam-6192	103	13	.	.	PROPN
ejpam-6192	103	14	4.1	4.1	NUM
ejpam-6192	103	15	.	.	PUNCT
ejpam-6192	104	1	macroscopic	macroscopic	ADJ
ejpam-6192	104	2	equations	equation	NOUN
ejpam-6192	104	3	derived	derive	VERB
ejpam-6192	104	4	via	via	ADP
ejpam-6192	104	5	chapman	chapman	PROPN
ejpam-6192	104	6	–	–	PUNCT
ejpam-6192	104	7	enskog	enskog	PROPN
ejpam-6192	104	8	expansion	expansion	NOUN
ejpam-6192	104	9	to	to	PART
ejpam-6192	104	10	derive	derive	VERB
ejpam-6192	104	11	the	the	DET
ejpam-6192	104	12	macroscopic	macroscopic	ADJ
ejpam-6192	104	13	advection	advection	NOUN
ejpam-6192	104	14	-	-	PUNCT
ejpam-6192	104	15	diffusion	diffusion	NOUN
ejpam-6192	104	16	equation	equation	NOUN
ejpam-6192	104	17	for	for	ADP
ejpam-6192	104	18	vorticity	vorticity	NOUN
ejpam-6192	104	19	from	from	ADP
ejpam-6192	104	20	the	the	DET
ejpam-6192	104	21	mesoscopic	mesoscopic	NOUN
ejpam-6192	104	22	lattice	lattice	PROPN
ejpam-6192	104	23	boltzmann	boltzmann	PROPN
ejpam-6192	104	24	formulation	formulation	PROPN
ejpam-6192	104	25	,	,	PUNCT
ejpam-6192	104	26	we	we	PRON
ejpam-6192	104	27	begin	begin	VERB
ejpam-6192	104	28	by	by	ADP
ejpam-6192	104	29	considering	consider	VERB
ejpam-6192	104	30	the	the	DET
ejpam-6192	104	31	target	target	NOUN
ejpam-6192	104	32	form	form	NOUN
ejpam-6192	104	33	:	:	PUNCT
ejpam-6192	104	34	∂ω(x	∂ω(x	PROPN
ejpam-6192	104	35	,	,	PUNCT
ejpam-6192	104	36	t	t	PROPN
ejpam-6192	104	37	)	)	PUNCT
ejpam-6192	104	38	∂t	∂t	PROPN
ejpam-6192	105	1	+	+	CCONJ
ejpam-6192	105	2	u⃗	u⃗	PROPN
ejpam-6192	105	3	·	·	PUNCT
ejpam-6192	105	4	∇ω(x	∇ω(x	PROPN
ejpam-6192	105	5	,	,	PUNCT
ejpam-6192	105	6	t	t	PROPN
ejpam-6192	105	7	)	)	PUNCT
ejpam-6192	105	8	=	=	SYM
ejpam-6192	106	1	ν∇	ν∇	PROPN
ejpam-6192	106	2	·	·	PUNCT
ejpam-6192	106	3	(	(	PUNCT
ejpam-6192	106	4	k∇ω(x	k∇ω(x	PROPN
ejpam-6192	106	5	,	,	PUNCT
ejpam-6192	106	6	t	t	PROPN
ejpam-6192	106	7	)	)	PUNCT
ejpam-6192	106	8	)	)	PUNCT
ejpam-6192	106	9	,	,	PUNCT
ejpam-6192	106	10	(	(	PUNCT
ejpam-6192	106	11	9	9	X
ejpam-6192	106	12	)	)	PUNCT
ejpam-6192	106	13	where	where	SCONJ
ejpam-6192	106	14	ω(x	ω(x	PROPN
ejpam-6192	106	15	,	,	PUNCT
ejpam-6192	106	16	t	t	PROPN
ejpam-6192	106	17	)	)	PUNCT
ejpam-6192	106	18	represents	represent	VERB
ejpam-6192	106	19	the	the	DET
ejpam-6192	106	20	vorticity	vorticity	NOUN
ejpam-6192	106	21	field	field	NOUN
ejpam-6192	106	22	,	,	PUNCT
ejpam-6192	106	23	u⃗	u⃗	PROPN
ejpam-6192	106	24	is	be	AUX
ejpam-6192	106	25	the	the	DET
ejpam-6192	106	26	velocity	velocity	NOUN
ejpam-6192	106	27	,	,	PUNCT
ejpam-6192	106	28	ν	ν	PROPN
ejpam-6192	106	29	is	be	AUX
ejpam-6192	106	30	the	the	DET
ejpam-6192	106	31	kinematic	kinematic	ADJ
ejpam-6192	106	32	viscosity	viscosity	NOUN
ejpam-6192	106	33	,	,	PUNCT
ejpam-6192	106	34	and	and	CCONJ
ejpam-6192	106	35	k(x	k(x	PROPN
ejpam-6192	106	36	)	)	PUNCT
ejpam-6192	106	37	is	be	AUX
ejpam-6192	106	38	a	a	DET
ejpam-6192	106	39	positive	positive	ADJ
ejpam-6192	106	40	,	,	PUNCT
ejpam-6192	106	41	spatially	spatially	ADV
ejpam-6192	106	42	varying	vary	VERB
ejpam-6192	106	43	diffusion	diffusion	NOUN
ejpam-6192	106	44	coefficient	coefficient	NOUN
ejpam-6192	106	45	.	.	PUNCT
ejpam-6192	107	1	the	the	DET
ejpam-6192	107	2	underlying	underlying	ADJ
ejpam-6192	107	3	evolution	evolution	NOUN
ejpam-6192	107	4	of	of	ADP
ejpam-6192	107	5	the	the	DET
ejpam-6192	107	6	distribution	distribution	NOUN
ejpam-6192	107	7	function	function	NOUN
ejpam-6192	107	8	fi	fi	NOUN
ejpam-6192	107	9	in	in	ADP
ejpam-6192	107	10	the	the	DET
ejpam-6192	107	11	lattice	lattice	NOUN
ejpam-6192	107	12	boltzmann	boltzmann	PROPN
ejpam-6192	107	13	method	method	NOUN
ejpam-6192	107	14	is	be	AUX
ejpam-6192	107	15	governed	govern	VERB
ejpam-6192	107	16	by	by	ADP
ejpam-6192	107	17	:	:	PUNCT
ejpam-6192	107	18	fi(x+	fi(x+	PROPN
ejpam-6192	107	19	ci∆t	ci∆t	PROPN
ejpam-6192	107	20	,	,	PUNCT
ejpam-6192	107	21	t+∆t	t+∆t	PROPN
ejpam-6192	107	22	)	)	PUNCT
ejpam-6192	107	23	=	=	SYM
ejpam-6192	108	1	fi(x	fi(x	PROPN
ejpam-6192	108	2	,	,	PUNCT
ejpam-6192	108	3	t)−	t)−	PROPN
ejpam-6192	108	4	1	1	NUM
ejpam-6192	108	5	τ	τ	X
ejpam-6192	108	6	(	(	PUNCT
ejpam-6192	108	7	fi(x	fi(x	PROPN
ejpam-6192	108	8	,	,	PUNCT
ejpam-6192	108	9	t)−	t)−	PROPN
ejpam-6192	108	10	f	f	X
ejpam-6192	108	11	(	(	PUNCT
ejpam-6192	108	12	eq	eq	NOUN
ejpam-6192	108	13	)	)	PUNCT
ejpam-6192	109	1	i	i	PRON
ejpam-6192	109	2	(	(	PUNCT
ejpam-6192	109	3	x	x	PROPN
ejpam-6192	109	4	,	,	PUNCT
ejpam-6192	109	5	t	t	PROPN
ejpam-6192	109	6	)	)	PUNCT
ejpam-6192	109	7	)	)	PUNCT
ejpam-6192	109	8	,	,	PUNCT
ejpam-6192	109	9	i	i	PRON
ejpam-6192	109	10	=	=	NOUN
ejpam-6192	109	11	0	0	NUM
ejpam-6192	109	12	,	,	PUNCT
ejpam-6192	109	13	.	.	PUNCT
ejpam-6192	109	14	.	.	PUNCT
ejpam-6192	109	15	.	.	PUNCT
ejpam-6192	110	1	,	,	PUNCT
ejpam-6192	110	2	m−	m−	PROPN
ejpam-6192	110	3	1	1	NUM
ejpam-6192	110	4	,	,	PUNCT
ejpam-6192	110	5	(	(	PUNCT
ejpam-6192	110	6	10	10	NUM
ejpam-6192	110	7	)	)	PUNCT
ejpam-6192	110	8	which	which	PRON
ejpam-6192	110	9	can	can	AUX
ejpam-6192	110	10	be	be	AUX
ejpam-6192	110	11	decomposed	decompose	VERB
ejpam-6192	110	12	into	into	ADP
ejpam-6192	110	13	two	two	NUM
ejpam-6192	110	14	separate	separate	ADJ
ejpam-6192	110	15	steps	step	NOUN
ejpam-6192	110	16	:	:	PUNCT
ejpam-6192	110	17	collision	collision	NOUN
ejpam-6192	110	18	:	:	PUNCT
ejpam-6192	110	19	f∗	f∗	NOUN
ejpam-6192	110	20	i	i	PRON
ejpam-6192	110	21	(	(	PUNCT
ejpam-6192	110	22	x	x	PROPN
ejpam-6192	110	23	,	,	PUNCT
ejpam-6192	110	24	t	t	PROPN
ejpam-6192	110	25	)	)	PUNCT
ejpam-6192	110	26	=	=	SYM
ejpam-6192	110	27	fi(x	fi(x	PROPN
ejpam-6192	110	28	,	,	PUNCT
ejpam-6192	110	29	t)−	t)−	PROPN
ejpam-6192	110	30	1	1	NUM
ejpam-6192	110	31	τ	τ	X
ejpam-6192	110	32	(	(	PUNCT
ejpam-6192	110	33	fi(x	fi(x	PROPN
ejpam-6192	110	34	,	,	PUNCT
ejpam-6192	110	35	t)−	t)−	PROPN
ejpam-6192	110	36	f	f	X
ejpam-6192	110	37	(	(	PUNCT
ejpam-6192	110	38	eq	eq	NOUN
ejpam-6192	110	39	)	)	PUNCT
ejpam-6192	111	1	i	i	PRON
ejpam-6192	111	2	(	(	PUNCT
ejpam-6192	111	3	x	x	PROPN
ejpam-6192	111	4	,	,	PUNCT
ejpam-6192	111	5	t	t	PROPN
ejpam-6192	111	6	)	)	PUNCT
ejpam-6192	111	7	)	)	PUNCT
ejpam-6192	111	8	,	,	PUNCT
ejpam-6192	111	9	(	(	PUNCT
ejpam-6192	111	10	11	11	NUM
ejpam-6192	111	11	)	)	PUNCT
ejpam-6192	111	12	propagation	propagation	NOUN
ejpam-6192	111	13	:	:	PUNCT
ejpam-6192	111	14	fi(x+	fi(x+	PROPN
ejpam-6192	111	15	ci∆t	ci∆t	PROPN
ejpam-6192	111	16	,	,	PUNCT
ejpam-6192	111	17	t+∆t	t+∆t	PROPN
ejpam-6192	111	18	)	)	PUNCT
ejpam-6192	111	19	=	=	SYM
ejpam-6192	112	1	f∗	f∗	NOUN
ejpam-6192	112	2	i	i	PRON
ejpam-6192	112	3	(	(	PUNCT
ejpam-6192	112	4	x	x	PROPN
ejpam-6192	112	5	,	,	PUNCT
ejpam-6192	112	6	t	t	PROPN
ejpam-6192	112	7	)	)	PUNCT
ejpam-6192	112	8	.	.	PUNCT
ejpam-6192	113	1	(	(	PUNCT
ejpam-6192	113	2	12	12	X
ejpam-6192	113	3	)	)	PUNCT
ejpam-6192	113	4	y.	y.	NOUN
ejpam-6192	113	5	douich	douich	PROPN
ejpam-6192	113	6	et	et	PROPN
ejpam-6192	113	7	al	al	PROPN
ejpam-6192	113	8	.	.	PUNCT
ejpam-6192	113	9	/	/	SYM
ejpam-6192	113	10	eur	eur	PROPN
ejpam-6192	113	11	.	.	PUNCT
ejpam-6192	114	1	j.	j.	PROPN
ejpam-6192	114	2	pure	pure	PROPN
ejpam-6192	114	3	appl	appl	PROPN
ejpam-6192	114	4	.	.	PROPN
ejpam-6192	114	5	math	math	PROPN
ejpam-6192	114	6	,	,	PUNCT
ejpam-6192	114	7	18	18	NUM
ejpam-6192	114	8	(	(	PUNCT
ejpam-6192	114	9	3	3	NUM
ejpam-6192	114	10	)	)	PUNCT
ejpam-6192	114	11	(	(	PUNCT
ejpam-6192	114	12	2025	2025	NUM
ejpam-6192	114	13	)	)	PUNCT
ejpam-6192	114	14	,	,	PUNCT
ejpam-6192	114	15	6192	6192	NUM
ejpam-6192	114	16	7	7	NUM
ejpam-6192	114	17	of	of	ADP
ejpam-6192	114	18	32	32	NUM
ejpam-6192	114	19	here	here	ADV
ejpam-6192	114	20	,	,	PUNCT
ejpam-6192	114	21	fi	fi	NOUN
ejpam-6192	114	22	and	and	CCONJ
ejpam-6192	114	23	f∗	f∗	NOUN
ejpam-6192	114	24	i	i	PRON
ejpam-6192	114	25	denote	denote	VERB
ejpam-6192	114	26	the	the	DET
ejpam-6192	114	27	preand	preand	NOUN
ejpam-6192	114	28	post	post	ADJ
ejpam-6192	114	29	-	-	ADJ
ejpam-6192	114	30	collision	collision	ADJ
ejpam-6192	114	31	distribution	distribution	NOUN
ejpam-6192	114	32	functions	function	NOUN
ejpam-6192	114	33	,	,	PUNCT
ejpam-6192	114	34	respectively	respectively	ADV
ejpam-6192	114	35	,	,	PUNCT
ejpam-6192	114	36	ci	ci	PROPN
ejpam-6192	114	37	is	be	AUX
ejpam-6192	114	38	the	the	DET
ejpam-6192	114	39	discrete	discrete	ADJ
ejpam-6192	114	40	lattice	lattice	NOUN
ejpam-6192	114	41	velocity	velocity	NOUN
ejpam-6192	114	42	in	in	ADP
ejpam-6192	114	43	direction	direction	NOUN
ejpam-6192	114	44	i	i	PRON
ejpam-6192	114	45	,	,	PUNCT
ejpam-6192	114	46	and	and	CCONJ
ejpam-6192	114	47	τ	τ	PROPN
ejpam-6192	114	48	is	be	AUX
ejpam-6192	114	49	the	the	DET
ejpam-6192	114	50	relaxation	relaxation	NOUN
ejpam-6192	114	51	time	time	NOUN
ejpam-6192	114	52	.	.	PUNCT
ejpam-6192	115	1	the	the	DET
ejpam-6192	115	2	equilibrium	equilibrium	NOUN
ejpam-6192	115	3	distribution	distribution	NOUN
ejpam-6192	115	4	function	function	NOUN
ejpam-6192	115	5	is	be	AUX
ejpam-6192	115	6	defined	define	VERB
ejpam-6192	115	7	as	as	ADP
ejpam-6192	115	8	:	:	PUNCT
ejpam-6192	115	9	f	f	PROPN
ejpam-6192	115	10	(	(	PUNCT
ejpam-6192	115	11	eq	eq	NOUN
ejpam-6192	115	12	)	)	PUNCT
ejpam-6192	115	13	i	i	PROPN
ejpam-6192	115	14	=	=	SYM
ejpam-6192	115	15	δiω(x	δiω(x	PROPN
ejpam-6192	115	16	,	,	PUNCT
ejpam-6192	115	17	t	t	PROPN
ejpam-6192	115	18	)	)	PUNCT
ejpam-6192	115	19	(	(	PUNCT
ejpam-6192	115	20	1	1	NUM
ejpam-6192	115	21	+	+	CCONJ
ejpam-6192	115	22	ci	ci	NOUN
ejpam-6192	115	23	·	·	PUNCT
ejpam-6192	115	24	u⃗	u⃗	PROPN
ejpam-6192	115	25	c2s	c2s	PROPN
ejpam-6192	115	26	)	)	PUNCT
ejpam-6192	115	27	,	,	PUNCT
ejpam-6192	115	28	(	(	PUNCT
ejpam-6192	115	29	13	13	NUM
ejpam-6192	115	30	)	)	PUNCT
ejpam-6192	115	31	where	where	SCONJ
ejpam-6192	115	32	δi	δi	PROPN
ejpam-6192	115	33	denotes	denote	VERB
ejpam-6192	115	34	the	the	DET
ejpam-6192	115	35	lattice	lattice	NOUN
ejpam-6192	115	36	weights	weight	NOUN
ejpam-6192	115	37	and	and	CCONJ
ejpam-6192	115	38	cs	cs	PROPN
ejpam-6192	115	39	is	be	AUX
ejpam-6192	115	40	the	the	DET
ejpam-6192	115	41	lattice	lattice	NOUN
ejpam-6192	115	42	sound	sound	NOUN
ejpam-6192	115	43	speed	speed	NOUN
ejpam-6192	115	44	.	.	PUNCT
ejpam-6192	116	1	the	the	DET
ejpam-6192	116	2	weights	weight	NOUN
ejpam-6192	116	3	δi	δi	NOUN
ejpam-6192	116	4	are	be	AUX
ejpam-6192	116	5	given	give	VERB
ejpam-6192	116	6	as	as	SCONJ
ejpam-6192	116	7	follows	follow	VERB
ejpam-6192	116	8	:	:	PUNCT
ejpam-6192	116	9	•	•	NUM
ejpam-6192	116	10	d2q5	d2q5	PROPN
ejpam-6192	116	11	model	model	NOUN
ejpam-6192	116	12	:	:	PUNCT
ejpam-6192	116	13	δi	δi	PROPN
ejpam-6192	116	14	=	=	SYM
ejpam-6192	116	15	1	1	NUM
ejpam-6192	116	16	5	5	NUM
ejpam-6192	116	17	,	,	PUNCT
ejpam-6192	116	18	i	i	PRON
ejpam-6192	116	19	=	=	NOUN
ejpam-6192	116	20	0	0	NUM
ejpam-6192	116	21	,	,	PUNCT
ejpam-6192	116	22	1	1	NUM
ejpam-6192	116	23	,	,	PUNCT
ejpam-6192	116	24	.	.	PUNCT
ejpam-6192	116	25	.	.	PUNCT
ejpam-6192	117	1	.	.	PUNCT
ejpam-6192	118	1	,	,	PUNCT
ejpam-6192	118	2	4	4	NUM
ejpam-6192	118	3	•	•	NOUN
ejpam-6192	118	4	d2q9	d2q9	NOUN
ejpam-6192	118	5	model	model	NOUN
ejpam-6192	118	6	:	:	PUNCT
ejpam-6192	118	7	δi	δi	PROPN
ejpam-6192	118	8	=	=	PUNCT
ejpam-6192	119	1			NOUN
ejpam-6192	119	2	4	4	NUM
ejpam-6192	119	3	9	9	NUM
ejpam-6192	119	4	i	i	NOUN
ejpam-6192	119	5	=	=	NOUN
ejpam-6192	119	6	0	0	NUM
ejpam-6192	119	7	,	,	PUNCT
ejpam-6192	119	8	1	1	NUM
ejpam-6192	119	9	9	9	NUM
ejpam-6192	119	10	i	i	NOUN
ejpam-6192	119	11	=	=	NOUN
ejpam-6192	119	12	1	1	NUM
ejpam-6192	119	13	,	,	PUNCT
ejpam-6192	119	14	2	2	NUM
ejpam-6192	119	15	,	,	PUNCT
ejpam-6192	119	16	3	3	NUM
ejpam-6192	119	17	,	,	PUNCT
ejpam-6192	119	18	4	4	NUM
ejpam-6192	119	19	,	,	PUNCT
ejpam-6192	119	20	1	1	NUM
ejpam-6192	119	21	36	36	NUM
ejpam-6192	119	22	i	i	NOUN
ejpam-6192	119	23	=	=	NOUN
ejpam-6192	119	24	5	5	NUM
ejpam-6192	119	25	,	,	PUNCT
ejpam-6192	119	26	6	6	NUM
ejpam-6192	119	27	,	,	PUNCT
ejpam-6192	119	28	7	7	NUM
ejpam-6192	119	29	,	,	PUNCT
ejpam-6192	119	30	8	8	NUM
ejpam-6192	119	31	.	.	PUNCT
ejpam-6192	120	1	(	(	PUNCT
ejpam-6192	120	2	14	14	NUM
ejpam-6192	120	3	)	)	PUNCT
ejpam-6192	120	4	the	the	DET
ejpam-6192	120	5	discrete	discrete	ADJ
ejpam-6192	120	6	velocities	velocity	NOUN
ejpam-6192	120	7	ci	ci	PROPN
ejpam-6192	120	8	are	be	AUX
ejpam-6192	120	9	defined	define	VERB
ejpam-6192	120	10	as	as	ADP
ejpam-6192	120	11	:	:	PUNCT
ejpam-6192	120	12	•	•	NUM
ejpam-6192	120	13	d2q5	d2q5	PROPN
ejpam-6192	120	14	model	model	NOUN
ejpam-6192	120	15	:	:	PUNCT
ejpam-6192	120	16	ci	ci	NOUN
ejpam-6192	120	17	=	=	X
ejpam-6192	120	18	{	{	PUNCT
ejpam-6192	120	19	(	(	PUNCT
ejpam-6192	120	20	0	0	NUM
ejpam-6192	120	21	,	,	PUNCT
ejpam-6192	120	22	0	0	NUM
ejpam-6192	120	23	)	)	PUNCT
ejpam-6192	121	1	i	i	PRON
ejpam-6192	121	2	=	=	PUNCT
ejpam-6192	122	1	0,√	0,√	NUM
ejpam-6192	122	2	2c	2c	NUM
ejpam-6192	122	3	(	(	PUNCT
ejpam-6192	122	4	cos	cos	X
ejpam-6192	122	5	[	[	PUNCT
ejpam-6192	122	6	(	(	PUNCT
ejpam-6192	122	7	2i−	2i−	PROPN
ejpam-6192	122	8	1)π4	1)π4	NUM
ejpam-6192	122	9	]	]	PUNCT
ejpam-6192	122	10	,	,	PUNCT
ejpam-6192	122	11	sin	sin	NOUN
ejpam-6192	122	12	[	[	PUNCT
ejpam-6192	122	13	(	(	PUNCT
ejpam-6192	122	14	2i−	2i−	PROPN
ejpam-6192	122	15	1)π4	1)π4	NUM
ejpam-6192	122	16	]	]	PUNCT
ejpam-6192	122	17	)	)	PUNCT
ejpam-6192	123	1	i	i	PRON
ejpam-6192	123	2	=	=	NOUN
ejpam-6192	123	3	1	1	NUM
ejpam-6192	123	4	,	,	PUNCT
ejpam-6192	123	5	2	2	NUM
ejpam-6192	123	6	,	,	PUNCT
ejpam-6192	123	7	3	3	NUM
ejpam-6192	123	8	,	,	PUNCT
ejpam-6192	123	9	4	4	NUM
ejpam-6192	123	10	.	.	PUNCT
ejpam-6192	124	1	(	(	PUNCT
ejpam-6192	124	2	15	15	NUM
ejpam-6192	124	3	)	)	PUNCT
ejpam-6192	124	4	•	•	NOUN
ejpam-6192	124	5	d2q9	d2q9	NOUN
ejpam-6192	124	6	model	model	NOUN
ejpam-6192	124	7	:	:	PUNCT
ejpam-6192	124	8	ci	ci	NOUN
ejpam-6192	124	9	=	=	PUNCT
ejpam-6192	124	10			PROPN
ejpam-6192	124	11	(	(	PUNCT
ejpam-6192	124	12	0	0	NUM
ejpam-6192	124	13	,	,	PUNCT
ejpam-6192	124	14	0	0	NUM
ejpam-6192	124	15	)	)	PUNCT
ejpam-6192	124	16	i	i	PRON
ejpam-6192	124	17	=	=	NOUN
ejpam-6192	124	18	0	0	NUM
ejpam-6192	124	19	,	,	PUNCT
ejpam-6192	124	20	c	c	PROPN
ejpam-6192	124	21	(	(	PUNCT
ejpam-6192	124	22	cos	cos	X
ejpam-6192	124	23	[	[	PUNCT
ejpam-6192	124	24	(	(	PUNCT
ejpam-6192	124	25	i−	i−	PROPN
ejpam-6192	124	26	1)π2	1)π2	PROPN
ejpam-6192	124	27	]	]	PUNCT
ejpam-6192	124	28	,	,	PUNCT
ejpam-6192	124	29	sin	sin	NOUN
ejpam-6192	124	30	[	[	PUNCT
ejpam-6192	124	31	(	(	PUNCT
ejpam-6192	124	32	i−	i−	PROPN
ejpam-6192	124	33	1)π2	1)π2	PROPN
ejpam-6192	124	34	]	]	PUNCT
ejpam-6192	124	35	)	)	PUNCT
ejpam-6192	125	1	i	i	PRON
ejpam-6192	125	2	=	=	NOUN
ejpam-6192	125	3	1	1	NUM
ejpam-6192	125	4	,	,	PUNCT
ejpam-6192	125	5	2	2	NUM
ejpam-6192	125	6	,	,	PUNCT
ejpam-6192	125	7	3	3	NUM
ejpam-6192	125	8	,	,	PUNCT
ejpam-6192	125	9	4,√	4,√	NOUN
ejpam-6192	125	10	2c	2c	NOUN
ejpam-6192	125	11	(	(	PUNCT
ejpam-6192	125	12	cos	cos	X
ejpam-6192	125	13	[	[	PUNCT
ejpam-6192	125	14	(	(	PUNCT
ejpam-6192	125	15	2i−	2i−	NUM
ejpam-6192	125	16	9)π4	9)π4	NUM
ejpam-6192	125	17	]	]	PUNCT
ejpam-6192	125	18	,	,	PUNCT
ejpam-6192	125	19	sin	sin	NOUN
ejpam-6192	125	20	[	[	PUNCT
ejpam-6192	125	21	(	(	PUNCT
ejpam-6192	125	22	2i−	2i−	NUM
ejpam-6192	125	23	9)π4	9)π4	NUM
ejpam-6192	125	24	]	]	PUNCT
ejpam-6192	125	25	)	)	PUNCT
ejpam-6192	126	1	i	i	PRON
ejpam-6192	126	2	=	=	NOUN
ejpam-6192	126	3	5	5	NUM
ejpam-6192	126	4	,	,	PUNCT
ejpam-6192	126	5	6	6	NUM
ejpam-6192	126	6	,	,	PUNCT
ejpam-6192	126	7	7	7	NUM
ejpam-6192	126	8	,	,	PUNCT
ejpam-6192	126	9	8	8	NUM
ejpam-6192	126	10	.	.	PUNCT
ejpam-6192	127	1	(	(	PUNCT
ejpam-6192	127	2	16	16	NUM
ejpam-6192	127	3	)	)	PUNCT
ejpam-6192	127	4	we	we	PRON
ejpam-6192	127	5	also	also	ADV
ejpam-6192	127	6	enforce	enforce	VERB
ejpam-6192	127	7	the	the	DET
ejpam-6192	127	8	following	following	ADJ
ejpam-6192	127	9	moment	moment	NOUN
ejpam-6192	127	10	relations:∑	relations:∑	VERB
ejpam-6192	127	11	i	i	PRON
ejpam-6192	127	12	fi	fi	NOUN
ejpam-6192	128	1	=	=	PUNCT
ejpam-6192	128	2	∑	∑	PUNCT
ejpam-6192	128	3	i	i	PRON
ejpam-6192	128	4	f	f	X
ejpam-6192	128	5	(	(	PUNCT
ejpam-6192	128	6	eq	eq	NOUN
ejpam-6192	128	7	)	)	PUNCT
ejpam-6192	128	8	i	i	NOUN
ejpam-6192	128	9	=	=	SYM
ejpam-6192	128	10	ω(x	ω(x	PROPN
ejpam-6192	128	11	,	,	PUNCT
ejpam-6192	128	12	t	t	PROPN
ejpam-6192	128	13	)	)	PUNCT
ejpam-6192	128	14	,	,	PUNCT
ejpam-6192	128	15	(	(	PUNCT
ejpam-6192	128	16	17	17	NUM
ejpam-6192	128	17	)	)	PUNCT
ejpam-6192	128	18	∑	∑	PUNCT
ejpam-6192	129	1	i	i	PROPN
ejpam-6192	129	2	cif	cif	PROPN
ejpam-6192	129	3	(	(	PUNCT
ejpam-6192	129	4	eq	eq	NOUN
ejpam-6192	129	5	)	)	PUNCT
ejpam-6192	129	6	i	i	PROPN
ejpam-6192	129	7	=	=	SYM
ejpam-6192	129	8	ω(x	ω(x	NOUN
ejpam-6192	129	9	,	,	PUNCT
ejpam-6192	129	10	t)u⃗	t)u⃗	NOUN
ejpam-6192	129	11	,	,	PUNCT
ejpam-6192	129	12	(	(	PUNCT
ejpam-6192	129	13	18	18	NUM
ejpam-6192	129	14	)	)	PUNCT
ejpam-6192	129	15	∑	∑	PUNCT
ejpam-6192	129	16	i	i	PRON
ejpam-6192	129	17	cicif	cicif	VERB
ejpam-6192	129	18	(	(	PUNCT
ejpam-6192	129	19	eq	eq	NOUN
ejpam-6192	129	20	)	)	PUNCT
ejpam-6192	129	21	i	i	PROPN
ejpam-6192	129	22	=	=	SYM
ejpam-6192	129	23	c2sω(x	c2sω(x	PROPN
ejpam-6192	129	24	,	,	PUNCT
ejpam-6192	129	25	t)i	t)i	ADP
ejpam-6192	129	26	,	,	PUNCT
ejpam-6192	129	27	(	(	PUNCT
ejpam-6192	129	28	19	19	NUM
ejpam-6192	129	29	)	)	PUNCT
ejpam-6192	129	30	where	where	SCONJ
ejpam-6192	129	31	i	i	PRON
ejpam-6192	129	32	denotes	denote	VERB
ejpam-6192	129	33	the	the	DET
ejpam-6192	129	34	identity	identity	NOUN
ejpam-6192	129	35	matrix	matrix	NOUN
ejpam-6192	129	36	and	and	CCONJ
ejpam-6192	129	37	c2s	c2s	NOUN
ejpam-6192	129	38	=	=	SYM
ejpam-6192	129	39	2	2	NUM
ejpam-6192	129	40	5c	5c	NUM
ejpam-6192	129	41	2	2	NUM
ejpam-6192	129	42	.	.	PUNCT
ejpam-6192	129	43	to	to	PART
ejpam-6192	129	44	obtain	obtain	VERB
ejpam-6192	129	45	the	the	DET
ejpam-6192	129	46	macroscopic	macroscopic	ADJ
ejpam-6192	129	47	behavior	behavior	NOUN
ejpam-6192	129	48	,	,	PUNCT
ejpam-6192	129	49	we	we	PRON
ejpam-6192	129	50	employ	employ	VERB
ejpam-6192	129	51	the	the	DET
ejpam-6192	129	52	chapman	chapman	PROPN
ejpam-6192	129	53	–	–	PUNCT
ejpam-6192	129	54	enskog	enskog	PROPN
ejpam-6192	129	55	expansion	expansion	NOUN
ejpam-6192	129	56	:	:	PUNCT
ejpam-6192	130	1	fi	fi	NOUN
ejpam-6192	130	2	=	=	SYM
ejpam-6192	130	3	f	f	X
ejpam-6192	130	4	(	(	PUNCT
ejpam-6192	130	5	0	0	NUM
ejpam-6192	130	6	)	)	PUNCT
ejpam-6192	131	1	i	i	PRON
ejpam-6192	131	2	+	+	NUM
ejpam-6192	131	3	εf	εf	PROPN
ejpam-6192	131	4	(	(	PUNCT
ejpam-6192	131	5	1	1	NUM
ejpam-6192	131	6	)	)	PUNCT
ejpam-6192	131	7	i	i	PRON
ejpam-6192	132	1	+	+	NUM
ejpam-6192	132	2	ε2f	ε2f	NOUN
ejpam-6192	132	3	(	(	PUNCT
ejpam-6192	132	4	2	2	X
ejpam-6192	132	5	)	)	PUNCT
ejpam-6192	132	6	i	i	PRON
ejpam-6192	132	7	,	,	PUNCT
ejpam-6192	132	8	∂t	∂t	PROPN
ejpam-6192	132	9	=	=	PUNCT
ejpam-6192	133	1	ε∂t1	ε∂t1	NOUN
ejpam-6192	133	2	+	+	X
ejpam-6192	133	3	ε2∂t2	ε2∂t2	PROPN
ejpam-6192	133	4	,	,	PUNCT
ejpam-6192	133	5	∇	∇	X
ejpam-6192	133	6	=	=	PUNCT
ejpam-6192	133	7	ε∇1	ε∇1	NOUN
ejpam-6192	133	8	,	,	PUNCT
ejpam-6192	133	9	(	(	PUNCT
ejpam-6192	133	10	20	20	X
ejpam-6192	133	11	)	)	PUNCT
ejpam-6192	134	1	y.	y.	NOUN
ejpam-6192	134	2	douich	douich	PROPN
ejpam-6192	134	3	et	et	PROPN
ejpam-6192	134	4	al	al	PROPN
ejpam-6192	134	5	.	.	PUNCT
ejpam-6192	134	6	/	/	SYM
ejpam-6192	134	7	eur	eur	PROPN
ejpam-6192	134	8	.	.	PUNCT
ejpam-6192	135	1	j.	j.	PROPN
ejpam-6192	135	2	pure	pure	PROPN
ejpam-6192	135	3	appl	appl	PROPN
ejpam-6192	135	4	.	.	PROPN
ejpam-6192	135	5	math	math	PROPN
ejpam-6192	135	6	,	,	PUNCT
ejpam-6192	135	7	18	18	NUM
ejpam-6192	135	8	(	(	PUNCT
ejpam-6192	135	9	3	3	NUM
ejpam-6192	135	10	)	)	PUNCT
ejpam-6192	135	11	(	(	PUNCT
ejpam-6192	135	12	2025	2025	NUM
ejpam-6192	135	13	)	)	PUNCT
ejpam-6192	135	14	,	,	PUNCT
ejpam-6192	135	15	6192	6192	NUM
ejpam-6192	135	16	8	8	NUM
ejpam-6192	135	17	of	of	ADP
ejpam-6192	135	18	32	32	NUM
ejpam-6192	135	19	with	with	ADP
ejpam-6192	135	20	f	f	PROPN
ejpam-6192	135	21	(	(	PUNCT
ejpam-6192	135	22	0	0	NUM
ejpam-6192	135	23	)	)	PUNCT
ejpam-6192	135	24	i	i	NOUN
ejpam-6192	136	1	=	=	SYM
ejpam-6192	136	2	f	f	X
ejpam-6192	136	3	(	(	PUNCT
ejpam-6192	136	4	eq	eq	NOUN
ejpam-6192	136	5	)	)	PUNCT
ejpam-6192	136	6	i	i	PRON
ejpam-6192	136	7	.	.	PUNCT
ejpam-6192	137	1	applying	apply	VERB
ejpam-6192	137	2	a	a	DET
ejpam-6192	137	3	taylor	taylor	NOUN
ejpam-6192	137	4	expansion	expansion	NOUN
ejpam-6192	137	5	to	to	ADP
ejpam-6192	137	6	eq	eq	PROPN
ejpam-6192	137	7	.	.	PUNCT
ejpam-6192	138	1	(	(	PUNCT
ejpam-6192	138	2	10	10	NUM
ejpam-6192	138	3	)	)	PUNCT
ejpam-6192	138	4	yields	yield	NOUN
ejpam-6192	138	5	:	:	PUNCT
ejpam-6192	138	6	fi(x+	fi(x+	PROPN
ejpam-6192	138	7	ci∆t	ci∆t	PROPN
ejpam-6192	138	8	,	,	PUNCT
ejpam-6192	138	9	t+∆t)−	t+∆t)−	X
ejpam-6192	138	10	fi(x	fi(x	NUM
ejpam-6192	138	11	,	,	PUNCT
ejpam-6192	138	12	t	t	PROPN
ejpam-6192	138	13	)	)	PUNCT
ejpam-6192	138	14	=	=	SYM
ejpam-6192	139	1	2∑	2∑	NUM
ejpam-6192	139	2	n=1	n=1	PROPN
ejpam-6192	139	3	∆tn	∆tn	PROPN
ejpam-6192	139	4	n	n	CCONJ
ejpam-6192	139	5	!	!	PUNCT
ejpam-6192	140	1	(	(	PUNCT
ejpam-6192	140	2	∂t	∂t	PROPN
ejpam-6192	140	3	+	+	CCONJ
ejpam-6192	140	4	ci	ci	PROPN
ejpam-6192	140	5	·	·	PUNCT
ejpam-6192	140	6	∇)nfi(x	∇)nfi(x	NUM
ejpam-6192	140	7	,	,	PUNCT
ejpam-6192	140	8	t	t	PROPN
ejpam-6192	140	9	)	)	PUNCT
ejpam-6192	140	10	+	+	NOUN
ejpam-6192	140	11	o(∆t3	o(∆t3	NOUN
ejpam-6192	140	12	)	)	PUNCT
ejpam-6192	140	13	.	.	PUNCT
ejpam-6192	141	1	(	(	PUNCT
ejpam-6192	141	2	21	21	NUM
ejpam-6192	141	3	)	)	PUNCT
ejpam-6192	141	4	substituting	substitute	VERB
ejpam-6192	141	5	eqs	eqs	PROPN
ejpam-6192	141	6	.	.	PUNCT
ejpam-6192	142	1	(	(	PUNCT
ejpam-6192	142	2	20	20	NUM
ejpam-6192	142	3	)	)	PUNCT
ejpam-6192	142	4	and	and	CCONJ
ejpam-6192	142	5	(	(	PUNCT
ejpam-6192	142	6	21	21	NUM
ejpam-6192	142	7	)	)	PUNCT
ejpam-6192	142	8	into	into	ADP
ejpam-6192	142	9	eq	eq	NOUN
ejpam-6192	142	10	.	.	PUNCT
ejpam-6192	143	1	(	(	PUNCT
ejpam-6192	143	2	10	10	NUM
ejpam-6192	143	3	)	)	PUNCT
ejpam-6192	143	4	and	and	CCONJ
ejpam-6192	143	5	grouping	group	VERB
ejpam-6192	143	6	terms	term	NOUN
ejpam-6192	143	7	by	by	ADP
ejpam-6192	143	8	orders	order	NOUN
ejpam-6192	143	9	of	of	ADP
ejpam-6192	143	10	ε	ε	PROPN
ejpam-6192	143	11	,	,	PUNCT
ejpam-6192	143	12	we	we	PRON
ejpam-6192	143	13	obtain	obtain	VERB
ejpam-6192	143	14	:	:	PUNCT
ejpam-6192	144	1	∂t1f	∂t1f	X
ejpam-6192	144	2	(	(	PUNCT
ejpam-6192	144	3	0	0	NUM
ejpam-6192	144	4	)	)	PUNCT
ejpam-6192	144	5	i	i	PRON
ejpam-6192	144	6	+	+	NUM
ejpam-6192	144	7	ci	ci	PROPN
ejpam-6192	144	8	·	·	PUNCT
ejpam-6192	144	9	∇1f	∇1f	PROPN
ejpam-6192	144	10	(	(	PUNCT
ejpam-6192	144	11	0	0	NUM
ejpam-6192	144	12	)	)	PUNCT
ejpam-6192	144	13	i	i	PRON
ejpam-6192	144	14	=	=	PUNCT
ejpam-6192	145	1	−	−	PROPN
ejpam-6192	145	2	1	1	NUM
ejpam-6192	145	3	τ∆t	τ∆t	NOUN
ejpam-6192	145	4	f	f	PROPN
ejpam-6192	145	5	(	(	PUNCT
ejpam-6192	145	6	1	1	X
ejpam-6192	145	7	)	)	PUNCT
ejpam-6192	145	8	i	i	PRON
ejpam-6192	145	9	,	,	PUNCT
ejpam-6192	145	10	(	(	PUNCT
ejpam-6192	145	11	22	22	NUM
ejpam-6192	145	12	)	)	PUNCT
ejpam-6192	145	13	∂t2f	∂t2f	X
ejpam-6192	146	1	(	(	PUNCT
ejpam-6192	146	2	0	0	NUM
ejpam-6192	146	3	)	)	PUNCT
ejpam-6192	146	4	i	i	PRON
ejpam-6192	146	5	+	+	X
ejpam-6192	146	6	(	(	PUNCT
ejpam-6192	146	7	∂t1	∂t1	NOUN
ejpam-6192	146	8	+	+	CCONJ
ejpam-6192	146	9	ci	ci	PROPN
ejpam-6192	146	10	·	·	PUNCT
ejpam-6192	146	11	∇1)f	∇1)f	NOUN
ejpam-6192	146	12	(	(	PUNCT
ejpam-6192	146	13	1	1	X
ejpam-6192	146	14	)	)	PUNCT
ejpam-6192	146	15	i	i	PRON
ejpam-6192	147	1	+	+	CCONJ
ejpam-6192	147	2	∆t	∆t	PROPN
ejpam-6192	147	3	2	2	NUM
ejpam-6192	147	4	(	(	PUNCT
ejpam-6192	147	5	∂t1	∂t1	NOUN
ejpam-6192	147	6	+	+	CCONJ
ejpam-6192	147	7	ci	ci	NOUN
ejpam-6192	147	8	·	·	PUNCT
ejpam-6192	147	9	∇1	∇1	NOUN
ejpam-6192	147	10	)	)	PUNCT
ejpam-6192	147	11	2f	2f	NUM
ejpam-6192	147	12	(	(	PUNCT
ejpam-6192	147	13	0	0	NUM
ejpam-6192	147	14	)	)	PUNCT
ejpam-6192	147	15	i	i	PRON
ejpam-6192	147	16	=	=	PUNCT
ejpam-6192	148	1	−	−	PROPN
ejpam-6192	148	2	1	1	NUM
ejpam-6192	148	3	τ∆t	τ∆t	NOUN
ejpam-6192	148	4	f	f	PROPN
ejpam-6192	148	5	(	(	PUNCT
ejpam-6192	148	6	2	2	X
ejpam-6192	148	7	)	)	PUNCT
ejpam-6192	148	8	i	i	PRON
ejpam-6192	148	9	.	.	PUNCT
ejpam-6192	149	1	(	(	PUNCT
ejpam-6192	149	2	23	23	X
ejpam-6192	149	3	)	)	PUNCT
ejpam-6192	149	4	defining	define	VERB
ejpam-6192	149	5	d1i	d1i	NOUN
ejpam-6192	149	6	=	=	SYM
ejpam-6192	149	7	∂t1	∂t1	PROPN
ejpam-6192	149	8	+	+	CCONJ
ejpam-6192	149	9	ci	ci	PROPN
ejpam-6192	149	10	·	·	PUNCT
ejpam-6192	149	11	∇1	∇1	NOUN
ejpam-6192	149	12	,	,	PUNCT
ejpam-6192	149	13	eq	eq	NOUN
ejpam-6192	149	14	.	.	PUNCT
ejpam-6192	150	1	(	(	PUNCT
ejpam-6192	150	2	22	22	NUM
ejpam-6192	150	3	)	)	PUNCT
ejpam-6192	150	4	becomes	become	VERB
ejpam-6192	150	5	:	:	PUNCT
ejpam-6192	150	6	d1if	d1if	NUM
ejpam-6192	150	7	(	(	PUNCT
ejpam-6192	150	8	0	0	X
ejpam-6192	150	9	)	)	PUNCT
ejpam-6192	150	10	i	i	PRON
ejpam-6192	150	11	=	=	PUNCT
ejpam-6192	151	1	−	−	PROPN
ejpam-6192	151	2	1	1	NUM
ejpam-6192	151	3	τ∆t	τ∆t	NOUN
ejpam-6192	151	4	f	f	PROPN
ejpam-6192	151	5	(	(	PUNCT
ejpam-6192	151	6	1	1	X
ejpam-6192	151	7	)	)	PUNCT
ejpam-6192	151	8	i	i	PRON
ejpam-6192	151	9	.	.	PUNCT
ejpam-6192	152	1	(	(	PUNCT
ejpam-6192	152	2	24	24	NUM
ejpam-6192	152	3	)	)	PUNCT
ejpam-6192	152	4	substituting	substitute	VERB
ejpam-6192	152	5	eq	eq	PROPN
ejpam-6192	152	6	.	.	PUNCT
ejpam-6192	153	1	(	(	PUNCT
ejpam-6192	153	2	24	24	NUM
ejpam-6192	153	3	)	)	PUNCT
ejpam-6192	153	4	into	into	ADP
ejpam-6192	153	5	eq	eq	NOUN
ejpam-6192	153	6	.	.	PUNCT
ejpam-6192	154	1	(	(	PUNCT
ejpam-6192	154	2	23	23	NUM
ejpam-6192	154	3	)	)	PUNCT
ejpam-6192	154	4	yields	yield	NOUN
ejpam-6192	154	5	:	:	PUNCT
ejpam-6192	154	6	∂t2f	∂t2f	X
ejpam-6192	154	7	(	(	PUNCT
ejpam-6192	154	8	0	0	NUM
ejpam-6192	154	9	)	)	PUNCT
ejpam-6192	154	10	i	i	PRON
ejpam-6192	155	1	+	+	CCONJ
ejpam-6192	156	1	(	(	PUNCT
ejpam-6192	156	2	1−	1−	NUM
ejpam-6192	156	3	1	1	NUM
ejpam-6192	156	4	2τ	2τ	NUM
ejpam-6192	156	5	)	)	PUNCT
ejpam-6192	156	6	d1if	d1if	PUNCT
ejpam-6192	157	1	(	(	PUNCT
ejpam-6192	157	2	1	1	X
ejpam-6192	157	3	)	)	PUNCT
ejpam-6192	157	4	i	i	NOUN
ejpam-6192	157	5	=	=	PUNCT
ejpam-6192	158	1	−	−	PROPN
ejpam-6192	158	2	1	1	NUM
ejpam-6192	158	3	τ∆t	τ∆t	NOUN
ejpam-6192	158	4	f	f	PROPN
ejpam-6192	158	5	(	(	PUNCT
ejpam-6192	158	6	2	2	X
ejpam-6192	158	7	)	)	PUNCT
ejpam-6192	158	8	i	i	PRON
ejpam-6192	158	9	.	.	PUNCT
ejpam-6192	159	1	(	(	PUNCT
ejpam-6192	159	2	25	25	NUM
ejpam-6192	159	3	)	)	PUNCT
ejpam-6192	159	4	summing	sum	VERB
ejpam-6192	159	5	eq	eq	ADP
ejpam-6192	159	6	.	.	PUNCT
ejpam-6192	160	1	(	(	PUNCT
ejpam-6192	160	2	25	25	NUM
ejpam-6192	160	3	)	)	PUNCT
ejpam-6192	160	4	over	over	ADP
ejpam-6192	160	5	i	i	PROPN
ejpam-6192	160	6	,	,	PUNCT
ejpam-6192	160	7	and	and	CCONJ
ejpam-6192	160	8	using	use	VERB
ejpam-6192	160	9	eq	eq	X
ejpam-6192	160	10	.	.	PUNCT
ejpam-6192	161	1	(	(	PUNCT
ejpam-6192	161	2	18	18	NUM
ejpam-6192	161	3	)	)	PUNCT
ejpam-6192	161	4	,	,	PUNCT
ejpam-6192	161	5	we	we	PRON
ejpam-6192	161	6	derive	derive	VERB
ejpam-6192	161	7	:	:	PUNCT
ejpam-6192	161	8	∂t2ω	∂t2ω	X
ejpam-6192	161	9	+	+	ADV
ejpam-6192	161	10	∇1	∇1	X
ejpam-6192	161	11	·	·	PUNCT
ejpam-6192	162	1	[	[	X
ejpam-6192	162	2	(	(	PUNCT
ejpam-6192	162	3	1−	1−	NUM
ejpam-6192	162	4	1	1	NUM
ejpam-6192	162	5	2τ	2τ	NUM
ejpam-6192	162	6	)	)	PUNCT
ejpam-6192	162	7	∑	∑	PUNCT
ejpam-6192	162	8	i	i	PROPN
ejpam-6192	162	9	cif	cif	PROPN
ejpam-6192	162	10	(	(	PUNCT
ejpam-6192	162	11	1	1	X
ejpam-6192	162	12	)	)	PUNCT
ejpam-6192	162	13	i	i	PRON
ejpam-6192	162	14	]	]	PUNCT
ejpam-6192	163	1	=	=	PUNCT
ejpam-6192	163	2	0	0	X
ejpam-6192	163	3	.	.	PUNCT
ejpam-6192	164	1	(	(	PUNCT
ejpam-6192	164	2	26	26	NUM
ejpam-6192	164	3	)	)	PUNCT
ejpam-6192	164	4	applying	apply	VERB
ejpam-6192	164	5	eq	eq	ADP
ejpam-6192	164	6	.	.	PUNCT
ejpam-6192	165	1	(	(	PUNCT
ejpam-6192	165	2	24	24	NUM
ejpam-6192	165	3	)	)	PUNCT
ejpam-6192	165	4	and	and	CCONJ
ejpam-6192	165	5	using	use	VERB
ejpam-6192	165	6	moment	moment	NOUN
ejpam-6192	165	7	properties	property	NOUN
ejpam-6192	165	8	,	,	PUNCT
ejpam-6192	165	9	we	we	PRON
ejpam-6192	165	10	obtain:∑	obtain:∑	PROPN
ejpam-6192	165	11	i	i	PROPN
ejpam-6192	165	12	cif	cif	PROPN
ejpam-6192	165	13	(	(	PUNCT
ejpam-6192	165	14	1	1	NUM
ejpam-6192	165	15	)	)	PUNCT
ejpam-6192	165	16	i	i	PRON
ejpam-6192	165	17	=	=	PUNCT
ejpam-6192	165	18	−τ∆t∂t1ωu⃗−	−τ∆t∂t1ωu⃗−	X
ejpam-6192	166	1	τ∆t∇1(c	τ∆t∇1(c	PROPN
ejpam-6192	166	2	2	2	NUM
ejpam-6192	166	3	sω	sω	NOUN
ejpam-6192	166	4	)	)	PUNCT
ejpam-6192	166	5	.	.	PUNCT
ejpam-6192	167	1	(	(	PUNCT
ejpam-6192	167	2	27	27	NUM
ejpam-6192	167	3	)	)	PUNCT
ejpam-6192	167	4	combining	combine	VERB
ejpam-6192	167	5	the	the	DET
ejpam-6192	167	6	results	result	NOUN
ejpam-6192	167	7	,	,	PUNCT
ejpam-6192	167	8	the	the	DET
ejpam-6192	167	9	equations	equation	NOUN
ejpam-6192	167	10	at	at	ADP
ejpam-6192	167	11	successive	successive	ADJ
ejpam-6192	167	12	time	time	NOUN
ejpam-6192	167	13	scales	scale	NOUN
ejpam-6192	167	14	become	become	VERB
ejpam-6192	167	15	:	:	PUNCT
ejpam-6192	167	16	∂t1ω	∂t1ω	PROPN
ejpam-6192	167	17	+	+	ADJ
ejpam-6192	167	18	∇1	∇1	PROPN
ejpam-6192	167	19	·	·	PUNCT
ejpam-6192	167	20	(	(	PUNCT
ejpam-6192	167	21	ωu⃗	ωu⃗	NOUN
ejpam-6192	167	22	)	)	PUNCT
ejpam-6192	167	23	=	=	SYM
ejpam-6192	167	24	0	0	NUM
ejpam-6192	167	25	,	,	PUNCT
ejpam-6192	167	26	(	(	PUNCT
ejpam-6192	167	27	28	28	NUM
ejpam-6192	167	28	)	)	PUNCT
ejpam-6192	167	29	∂t2ω	∂t2ω	X
ejpam-6192	167	30	=	=	SYM
ejpam-6192	167	31	∇1	∇1	PROPN
ejpam-6192	167	32	·	·	PUNCT
ejpam-6192	167	33	[	[	PUNCT
ejpam-6192	167	34	(	(	PUNCT
ejpam-6192	167	35	τ	τ	X
ejpam-6192	167	36	−	−	PROPN
ejpam-6192	167	37	1	1	NUM
ejpam-6192	167	38	2	2	NUM
ejpam-6192	167	39	)	)	PUNCT
ejpam-6192	167	40	∆t∂t1ωu⃗	∆t∂t1ωu⃗	PUNCT
ejpam-6192	167	41	]	]	PUNCT
ejpam-6192	168	1	+	+	PUNCT
ejpam-6192	168	2	∇1	∇1	X
ejpam-6192	168	3	·	·	PUNCT
ejpam-6192	168	4	[	[	PUNCT
ejpam-6192	168	5	c2s(τ	c2s(τ	NOUN
ejpam-6192	168	6	−	−	NOUN
ejpam-6192	168	7	1	1	NUM
ejpam-6192	168	8	2	2	NUM
ejpam-6192	168	9	)	)	PUNCT
ejpam-6192	168	10	∆t∇1ω	∆t∇1ω	NOUN
ejpam-6192	168	11	]	]	PUNCT
ejpam-6192	168	12	.	.	PUNCT
ejpam-6192	169	1	(	(	PUNCT
ejpam-6192	169	2	29	29	NUM
ejpam-6192	169	3	)	)	PUNCT
ejpam-6192	169	4	combining	combine	VERB
ejpam-6192	169	5	both	both	CCONJ
ejpam-6192	169	6	contributions	contribution	NOUN
ejpam-6192	169	7	and	and	CCONJ
ejpam-6192	169	8	setting	set	VERB
ejpam-6192	169	9	νk	νk	NOUN
ejpam-6192	169	10	=	=	PUNCT
ejpam-6192	169	11	c2s(τ	c2s(τ	NOUN
ejpam-6192	169	12	−	−	NOUN
ejpam-6192	169	13	1	1	NUM
ejpam-6192	169	14	2)∆t	2)∆t	NUM
ejpam-6192	169	15	,	,	PUNCT
ejpam-6192	169	16	we	we	PRON
ejpam-6192	169	17	recover	recover	VERB
ejpam-6192	169	18	:	:	PUNCT
ejpam-6192	169	19	∂tω	∂tω	PROPN
ejpam-6192	169	20	+	+	CCONJ
ejpam-6192	169	21	u⃗	u⃗	PROPN
ejpam-6192	169	22	·	·	PUNCT
ejpam-6192	170	1	∇ω	∇ω	PROPN
ejpam-6192	170	2	=	=	SYM
ejpam-6192	170	3	ν∇	ν∇	PROPN
ejpam-6192	170	4	·	·	PUNCT
ejpam-6192	170	5	(	(	PUNCT
ejpam-6192	170	6	k∇ω	k∇ω	NOUN
ejpam-6192	170	7	)	)	PUNCT
ejpam-6192	171	1	+	+	CCONJ
ejpam-6192	171	2	(	(	PUNCT
ejpam-6192	171	3	τ	τ	X
ejpam-6192	171	4	−	−	PROPN
ejpam-6192	171	5	1	1	NUM
ejpam-6192	171	6	2	2	NUM
ejpam-6192	171	7	)	)	PUNCT
ejpam-6192	171	8	∆t∇	∆t∇	PROPN
ejpam-6192	171	9	·	·	PUNCT
ejpam-6192	171	10	(	(	PUNCT
ejpam-6192	171	11	∂tωu⃗	∂tωu⃗	PROPN
ejpam-6192	171	12	)	)	PUNCT
ejpam-6192	171	13	.	.	PUNCT
ejpam-6192	172	1	(	(	PUNCT
ejpam-6192	172	2	30	30	NUM
ejpam-6192	172	3	)	)	PUNCT
ejpam-6192	172	4	since	since	SCONJ
ejpam-6192	172	5	the	the	DET
ejpam-6192	172	6	flow	flow	NOUN
ejpam-6192	172	7	is	be	AUX
ejpam-6192	172	8	incompressible	incompressible	ADJ
ejpam-6192	172	9	(	(	PUNCT
ejpam-6192	172	10	∇	∇	X
ejpam-6192	172	11	·	·	PUNCT
ejpam-6192	172	12	u⃗	u⃗	PROPN
ejpam-6192	172	13	=	=	SYM
ejpam-6192	172	14	0	0	NUM
ejpam-6192	172	15	)	)	PUNCT
ejpam-6192	172	16	,	,	PUNCT
ejpam-6192	172	17	the	the	DET
ejpam-6192	172	18	convective	convective	ADJ
ejpam-6192	172	19	term	term	NOUN
ejpam-6192	172	20	simplifies	simplifie	NOUN
ejpam-6192	172	21	as	as	ADP
ejpam-6192	172	22	:	:	PUNCT
ejpam-6192	172	23	∇	∇	X
ejpam-6192	172	24	·	·	PUNCT
ejpam-6192	172	25	(	(	PUNCT
ejpam-6192	172	26	ωu⃗	ωu⃗	NOUN
ejpam-6192	172	27	)	)	PUNCT
ejpam-6192	172	28	=	=	SYM
ejpam-6192	173	1	u⃗	u⃗	PROPN
ejpam-6192	173	2	·	·	PUNCT
ejpam-6192	174	1	∇ω	∇ω	INTJ
ejpam-6192	174	2	.	.	PUNCT
ejpam-6192	174	3	(	(	PUNCT
ejpam-6192	174	4	31	31	NUM
ejpam-6192	174	5	)	)	PUNCT
ejpam-6192	175	1	y.	y.	NOUN
ejpam-6192	175	2	douich	douich	PROPN
ejpam-6192	175	3	et	et	PROPN
ejpam-6192	175	4	al	al	PROPN
ejpam-6192	175	5	.	.	PUNCT
ejpam-6192	175	6	/	/	SYM
ejpam-6192	175	7	eur	eur	PROPN
ejpam-6192	175	8	.	.	PUNCT
ejpam-6192	176	1	j.	j.	PROPN
ejpam-6192	176	2	pure	pure	PROPN
ejpam-6192	176	3	appl	appl	PROPN
ejpam-6192	176	4	.	.	PROPN
ejpam-6192	176	5	math	math	PROPN
ejpam-6192	176	6	,	,	PUNCT
ejpam-6192	176	7	18	18	NUM
ejpam-6192	176	8	(	(	PUNCT
ejpam-6192	176	9	3	3	NUM
ejpam-6192	176	10	)	)	PUNCT
ejpam-6192	176	11	(	(	PUNCT
ejpam-6192	176	12	2025	2025	NUM
ejpam-6192	176	13	)	)	PUNCT
ejpam-6192	176	14	,	,	PUNCT
ejpam-6192	176	15	6192	6192	NUM
ejpam-6192	176	16	9	9	NUM
ejpam-6192	176	17	of	of	ADP
ejpam-6192	176	18	32	32	NUM
ejpam-6192	176	19	thus	thus	ADV
ejpam-6192	176	20	,	,	PUNCT
ejpam-6192	176	21	the	the	DET
ejpam-6192	176	22	recovered	recovered	ADJ
ejpam-6192	176	23	advection	advection	NOUN
ejpam-6192	176	24	equation	equation	NOUN
ejpam-6192	176	25	reads	read	VERB
ejpam-6192	176	26	:	:	PUNCT
ejpam-6192	176	27	∂tω	∂tω	NOUN
ejpam-6192	176	28	+	+	CCONJ
ejpam-6192	176	29	u⃗	u⃗	PROPN
ejpam-6192	176	30	·	·	PUNCT
ejpam-6192	177	1	∇ω	∇ω	PROPN
ejpam-6192	177	2	=	=	SYM
ejpam-6192	177	3	ν∇	ν∇	PROPN
ejpam-6192	177	4	·	·	PUNCT
ejpam-6192	177	5	(	(	PUNCT
ejpam-6192	177	6	k∇ω	k∇ω	NOUN
ejpam-6192	177	7	)	)	PUNCT
ejpam-6192	178	1	+	+	CCONJ
ejpam-6192	178	2	(	(	PUNCT
ejpam-6192	178	3	τ	τ	X
ejpam-6192	178	4	−	−	PROPN
ejpam-6192	178	5	1	1	NUM
ejpam-6192	178	6	2	2	NUM
ejpam-6192	178	7	)	)	PUNCT
ejpam-6192	178	8	∆t∇	∆t∇	PROPN
ejpam-6192	178	9	·	·	PUNCT
ejpam-6192	178	10	(	(	PUNCT
ejpam-6192	178	11	∂tωu⃗)︸	∂tωu⃗)︸	VERB
ejpam-6192	178	12	︷︷	︷︷	VERB
ejpam-6192	178	13	︸	︸	ADP
ejpam-6192	178	14	additional	additional	ADJ
ejpam-6192	178	15	term	term	NOUN
ejpam-6192	178	16	.	.	PUNCT
ejpam-6192	179	1	(	(	PUNCT
ejpam-6192	179	2	32	32	NUM
ejpam-6192	179	3	)	)	PUNCT
ejpam-6192	179	4	in	in	ADP
ejpam-6192	179	5	the	the	DET
ejpam-6192	179	6	advection	advection	NOUN
ejpam-6192	179	7	-	-	PUNCT
ejpam-6192	179	8	diffusion	diffusion	NOUN
ejpam-6192	179	9	equation	equation	NOUN
ejpam-6192	179	10	provided	provide	VERB
ejpam-6192	179	11	in	in	ADP
ejpam-6192	179	12	(	(	PUNCT
ejpam-6192	179	13	32	32	NUM
ejpam-6192	179	14	)	)	PUNCT
ejpam-6192	179	15	,	,	PUNCT
ejpam-6192	179	16	only	only	ADV
ejpam-6192	179	17	terms	term	NOUN
ejpam-6192	179	18	of	of	ADP
ejpam-6192	179	19	order	order	NOUN
ejpam-6192	179	20	o(u	o(u	ADJ
ejpam-6192	179	21	)	)	PUNCT
ejpam-6192	179	22	are	be	AUX
ejpam-6192	179	23	considered	consider	VERB
ejpam-6192	179	24	.	.	PUNCT
ejpam-6192	180	1	an	an	DET
ejpam-6192	180	2	additional	additional	ADJ
ejpam-6192	180	3	term	term	NOUN
ejpam-6192	180	4	,	,	PUNCT
ejpam-6192	180	5	(	(	PUNCT
ejpam-6192	180	6	τ	τ	X
ejpam-6192	180	7	−	−	PROPN
ejpam-6192	180	8	1	1	NUM
ejpam-6192	180	9	2)∆t∇	2)∆t∇	NUM
ejpam-6192	180	10	·	·	PUNCT
ejpam-6192	180	11	(	(	PUNCT
ejpam-6192	180	12	∂tωu⃗	∂tωu⃗	PROPN
ejpam-6192	180	13	)	)	PUNCT
ejpam-6192	180	14	,	,	PUNCT
ejpam-6192	180	15	appears	appear	VERB
ejpam-6192	180	16	in	in	ADP
ejpam-6192	180	17	the	the	DET
ejpam-6192	180	18	formulation	formulation	NOUN
ejpam-6192	180	19	.	.	PUNCT
ejpam-6192	181	1	for	for	ADP
ejpam-6192	181	2	incompressible	incompressible	ADJ
ejpam-6192	181	3	flows	flow	NOUN
ejpam-6192	181	4	,	,	PUNCT
ejpam-6192	181	5	where	where	SCONJ
ejpam-6192	181	6	the	the	DET
ejpam-6192	181	7	velocity	velocity	NOUN
ejpam-6192	181	8	field	field	NOUN
ejpam-6192	181	9	satisfies	satisfy	VERB
ejpam-6192	181	10	the	the	DET
ejpam-6192	181	11	condition	condition	NOUN
ejpam-6192	181	12	∇	∇	X
ejpam-6192	181	13	·	·	PUNCT
ejpam-6192	181	14	u⃗	u⃗	X
ejpam-6192	181	15	=	=	SYM
ejpam-6192	181	16	0	0	NUM
ejpam-6192	181	17	,	,	PUNCT
ejpam-6192	181	18	this	this	DET
ejpam-6192	181	19	term	term	NOUN
ejpam-6192	181	20	simplifies	simplifie	NOUN
ejpam-6192	181	21	further	far	ADV
ejpam-6192	181	22	to	to	ADP
ejpam-6192	181	23	(	(	PUNCT
ejpam-6192	181	24	τ−	τ−	PROPN
ejpam-6192	181	25	1	1	NUM
ejpam-6192	181	26	2)∆t	2)∆t	NUM
ejpam-6192	181	27	∂t(∇·(ωu⃗	∂t(∇·(ωu⃗	PROPN
ejpam-6192	181	28	)	)	PUNCT
ejpam-6192	181	29	)	)	PUNCT
ejpam-6192	181	30	.	.	PUNCT
ejpam-6192	182	1	under	under	ADP
ejpam-6192	182	2	steady	steady	ADJ
ejpam-6192	182	3	-	-	PUNCT
ejpam-6192	182	4	state	state	NOUN
ejpam-6192	182	5	conditions	condition	NOUN
ejpam-6192	182	6	in	in	ADP
ejpam-6192	182	7	incompressible	incompressible	ADJ
ejpam-6192	182	8	flows	flow	NOUN
ejpam-6192	182	9	,	,	PUNCT
ejpam-6192	182	10	this	this	DET
ejpam-6192	182	11	term	term	NOUN
ejpam-6192	182	12	naturally	naturally	ADV
ejpam-6192	182	13	becomes	become	VERB
ejpam-6192	182	14	zero	zero	NUM
ejpam-6192	182	15	[	[	X
ejpam-6192	182	16	39	39	NUM
ejpam-6192	182	17	]	]	PUNCT
ejpam-6192	182	18	.	.	PUNCT
ejpam-6192	183	1	in	in	ADP
ejpam-6192	183	2	the	the	DET
ejpam-6192	183	3	case	case	NOUN
ejpam-6192	183	4	of	of	ADP
ejpam-6192	183	5	unsteady	unsteady	ADJ
ejpam-6192	183	6	incompressible	incompressible	ADJ
ejpam-6192	183	7	flows	flow	NOUN
ejpam-6192	183	8	,	,	PUNCT
ejpam-6192	183	9	the	the	DET
ejpam-6192	183	10	magnitude	magnitude	NOUN
ejpam-6192	183	11	of	of	ADP
ejpam-6192	183	12	this	this	DET
ejpam-6192	183	13	additional	additional	ADJ
ejpam-6192	183	14	term	term	NOUN
ejpam-6192	183	15	scales	scale	NOUN
ejpam-6192	183	16	as	as	ADP
ejpam-6192	183	17	o(u2	o(u2	ADJ
ejpam-6192	183	18	c2s	c2s	PROPN
ejpam-6192	183	19	)	)	PUNCT
ejpam-6192	183	20	.	.	PUNCT
ejpam-6192	184	1	given	give	VERB
ejpam-6192	184	2	that	that	PRON
ejpam-6192	184	3	simulations	simulation	NOUN
ejpam-6192	184	4	of	of	ADP
ejpam-6192	184	5	incompressible	incompressible	ADJ
ejpam-6192	184	6	flows	flow	NOUN
ejpam-6192	184	7	are	be	AUX
ejpam-6192	184	8	typically	typically	ADV
ejpam-6192	184	9	conducted	conduct	VERB
ejpam-6192	184	10	with	with	ADP
ejpam-6192	184	11	∥u⃗∥	∥u⃗∥	PROPN
ejpam-6192	184	12	cs	cs	PROPN
ejpam-6192	184	13	<	<	X
ejpam-6192	184	14	0.1	0.1	NUM
ejpam-6192	184	15	,	,	PUNCT
ejpam-6192	184	16	the	the	DET
ejpam-6192	184	17	term	term	NOUN
ejpam-6192	184	18	represents	represent	VERB
ejpam-6192	184	19	a	a	DET
ejpam-6192	184	20	higher	high	ADJ
ejpam-6192	184	21	-	-	PUNCT
ejpam-6192	184	22	order	order	NOUN
ejpam-6192	184	23	correction	correction	NOUN
ejpam-6192	184	24	that	that	PRON
ejpam-6192	184	25	contributes	contribute	VERB
ejpam-6192	184	26	negligibly	negligibly	ADV
ejpam-6192	184	27	to	to	ADP
ejpam-6192	184	28	the	the	DET
ejpam-6192	184	29	overall	overall	ADJ
ejpam-6192	184	30	dynamics	dynamic	NOUN
ejpam-6192	184	31	.	.	PUNCT
ejpam-6192	185	1	as	as	ADP
ejpam-6192	185	2	such	such	ADJ
ejpam-6192	185	3	,	,	PUNCT
ejpam-6192	185	4	it	it	PRON
ejpam-6192	185	5	is	be	AUX
ejpam-6192	185	6	commonly	commonly	ADV
ejpam-6192	185	7	neglected	neglect	VERB
ejpam-6192	185	8	without	without	ADP
ejpam-6192	185	9	significant	significant	ADJ
ejpam-6192	185	10	impact	impact	NOUN
ejpam-6192	185	11	on	on	ADP
ejpam-6192	185	12	the	the	DET
ejpam-6192	185	13	accuracy	accuracy	NOUN
ejpam-6192	185	14	of	of	ADP
ejpam-6192	185	15	the	the	DET
ejpam-6192	185	16	simulation	simulation	NOUN
ejpam-6192	185	17	[	[	X
ejpam-6192	185	18	39	39	NUM
ejpam-6192	185	19	]	]	PUNCT
ejpam-6192	185	20	.	.	PUNCT
ejpam-6192	186	1	4.2	4.2	NUM
ejpam-6192	186	2	.	.	PUNCT
ejpam-6192	186	3	recovered	recover	VERB
ejpam-6192	186	4	heat	heat	NOUN
ejpam-6192	186	5	equation	equation	NOUN
ejpam-6192	186	6	to	to	PART
ejpam-6192	186	7	derive	derive	VERB
ejpam-6192	186	8	the	the	DET
ejpam-6192	186	9	macroscopic	macroscopic	ADJ
ejpam-6192	186	10	heat	heat	NOUN
ejpam-6192	186	11	equation	equation	NOUN
ejpam-6192	186	12	from	from	ADP
ejpam-6192	186	13	the	the	DET
ejpam-6192	186	14	underlying	underlie	VERB
ejpam-6192	186	15	lattice	lattice	NOUN
ejpam-6192	186	16	boltzmann	boltzmann	PROPN
ejpam-6192	186	17	formulation	formulation	NOUN
ejpam-6192	186	18	,	,	PUNCT
ejpam-6192	186	19	we	we	PRON
ejpam-6192	186	20	consider	consider	VERB
ejpam-6192	186	21	the	the	DET
ejpam-6192	186	22	mesoscopic	mesoscopic	NOUN
ejpam-6192	186	23	evolution	evolution	NOUN
ejpam-6192	186	24	equation	equation	NOUN
ejpam-6192	186	25	for	for	ADP
ejpam-6192	186	26	the	the	DET
ejpam-6192	186	27	temperature	temperature	NOUN
ejpam-6192	186	28	-	-	PUNCT
ejpam-6192	186	29	related	relate	VERB
ejpam-6192	186	30	distribution	distribution	NOUN
ejpam-6192	186	31	function	function	NOUN
ejpam-6192	186	32	gi(x	gi(x	PROPN
ejpam-6192	186	33	,	,	PUNCT
ejpam-6192	186	34	t	t	PROPN
ejpam-6192	186	35	):	):	PUNCT
ejpam-6192	186	36	gi(x+	gi(x+	PROPN
ejpam-6192	186	37	ci∆t	ci∆t	PROPN
ejpam-6192	186	38	,	,	PUNCT
ejpam-6192	186	39	t+∆t	t+∆t	PROPN
ejpam-6192	186	40	)	)	PUNCT
ejpam-6192	186	41	=	=	SYM
ejpam-6192	187	1	gi(x	gi(x	PROPN
ejpam-6192	187	2	,	,	PUNCT
ejpam-6192	187	3	t)−	t)−	PROPN
ejpam-6192	187	4	1	1	NUM
ejpam-6192	187	5	τg	τg	NUM
ejpam-6192	187	6	(	(	PUNCT
ejpam-6192	187	7	gi(x	gi(x	PROPN
ejpam-6192	187	8	,	,	PUNCT
ejpam-6192	187	9	t)−	t)−	PROPN
ejpam-6192	187	10	g	g	NOUN
ejpam-6192	187	11	(	(	PUNCT
ejpam-6192	187	12	eq	eq	NOUN
ejpam-6192	187	13	)	)	PUNCT
ejpam-6192	188	1	i	i	PRON
ejpam-6192	188	2	(	(	PUNCT
ejpam-6192	188	3	x	x	X
ejpam-6192	188	4	,	,	PUNCT
ejpam-6192	188	5	t))+α∆tsi	t))+α∆tsi	PROPN
ejpam-6192	188	6	,	,	PUNCT
ejpam-6192	188	7	i	i	NOUN
ejpam-6192	188	8	=	=	NOUN
ejpam-6192	188	9	0	0	NUM
ejpam-6192	188	10	,	,	PUNCT
ejpam-6192	188	11	.	.	PUNCT
ejpam-6192	188	12	.	.	PUNCT
ejpam-6192	188	13	.	.	PUNCT
ejpam-6192	189	1	,	,	PUNCT
ejpam-6192	189	2	m−	m−	PROPN
ejpam-6192	189	3	1	1	NUM
ejpam-6192	189	4	,	,	PUNCT
ejpam-6192	189	5	(	(	PUNCT
ejpam-6192	189	6	33	33	NUM
ejpam-6192	189	7	)	)	PUNCT
ejpam-6192	189	8	where	where	SCONJ
ejpam-6192	189	9	τg	τg	PROPN
ejpam-6192	189	10	is	be	AUX
ejpam-6192	189	11	the	the	DET
ejpam-6192	189	12	relaxation	relaxation	NOUN
ejpam-6192	189	13	time	time	NOUN
ejpam-6192	189	14	,	,	PUNCT
ejpam-6192	189	15	α	α	PROPN
ejpam-6192	189	16	a	a	DET
ejpam-6192	189	17	scaling	scaling	ADJ
ejpam-6192	189	18	coefficient	coefficient	NOUN
ejpam-6192	189	19	,	,	PUNCT
ejpam-6192	189	20	and	and	CCONJ
ejpam-6192	189	21	si	si	X
ejpam-6192	189	22	=	=	SYM
ejpam-6192	189	23	ϖiω(x	ϖiω(x	PROPN
ejpam-6192	189	24	,	,	PUNCT
ejpam-6192	189	25	t	t	PROPN
ejpam-6192	189	26	)	)	PUNCT
ejpam-6192	189	27	is	be	AUX
ejpam-6192	189	28	a	a	DET
ejpam-6192	189	29	source	source	NOUN
ejpam-6192	189	30	term	term	NOUN
ejpam-6192	189	31	associated	associate	VERB
ejpam-6192	189	32	with	with	ADP
ejpam-6192	189	33	the	the	DET
ejpam-6192	189	34	vorticity	vorticity	NOUN
ejpam-6192	189	35	ω(x	ω(x	NOUN
ejpam-6192	189	36	,	,	PUNCT
ejpam-6192	189	37	t	t	PROPN
ejpam-6192	189	38	)	)	PUNCT
ejpam-6192	189	39	.	.	PUNCT
ejpam-6192	190	1	the	the	DET
ejpam-6192	190	2	equilibrium	equilibrium	NOUN
ejpam-6192	190	3	distribution	distribution	NOUN
ejpam-6192	190	4	function	function	NOUN
ejpam-6192	190	5	is	be	AUX
ejpam-6192	190	6	taken	take	VERB
ejpam-6192	190	7	as	as	ADP
ejpam-6192	190	8	:	:	PUNCT
ejpam-6192	190	9	g	g	PROPN
ejpam-6192	190	10	(	(	PUNCT
ejpam-6192	190	11	eq	eq	NOUN
ejpam-6192	190	12	)	)	PUNCT
ejpam-6192	190	13	i	i	PRON
ejpam-6192	190	14	(	(	PUNCT
ejpam-6192	190	15	x	x	PROPN
ejpam-6192	190	16	,	,	PUNCT
ejpam-6192	190	17	t	t	PROPN
ejpam-6192	190	18	)	)	PUNCT
ejpam-6192	190	19	=	=	SYM
ejpam-6192	191	1	ϖii(x	ϖii(x	PROPN
ejpam-6192	191	2	,	,	PUNCT
ejpam-6192	191	3	t	t	PROPN
ejpam-6192	191	4	)	)	PUNCT
ejpam-6192	191	5	,	,	PUNCT
ejpam-6192	191	6	i	i	PRON
ejpam-6192	191	7	=	=	NOUN
ejpam-6192	191	8	0	0	NUM
ejpam-6192	191	9	,	,	PUNCT
ejpam-6192	191	10	.	.	PUNCT
ejpam-6192	191	11	.	.	PUNCT
ejpam-6192	191	12	.	.	PUNCT
ejpam-6192	192	1	,	,	PUNCT
ejpam-6192	192	2	m−	m−	PROPN
ejpam-6192	192	3	1	1	NUM
ejpam-6192	192	4	,	,	PUNCT
ejpam-6192	192	5	(	(	PUNCT
ejpam-6192	192	6	34	34	NUM
ejpam-6192	192	7	)	)	PUNCT
ejpam-6192	192	8	with	with	ADP
ejpam-6192	192	9	i(x	i(x	PROPN
ejpam-6192	192	10	,	,	PUNCT
ejpam-6192	192	11	t	t	PROPN
ejpam-6192	192	12	)	)	PUNCT
ejpam-6192	192	13	denoting	denote	VERB
ejpam-6192	192	14	the	the	DET
ejpam-6192	192	15	image	image	NOUN
ejpam-6192	192	16	intensity	intensity	NOUN
ejpam-6192	192	17	or	or	CCONJ
ejpam-6192	192	18	temperature	temperature	NOUN
ejpam-6192	192	19	field	field	NOUN
ejpam-6192	192	20	and	and	CCONJ
ejpam-6192	192	21	ϖi	ϖi	X
ejpam-6192	192	22	the	the	DET
ejpam-6192	192	23	lattice	lattice	PROPN
ejpam-6192	192	24	weights	weight	NOUN
ejpam-6192	192	25	.	.	PUNCT
ejpam-6192	193	1	the	the	DET
ejpam-6192	193	2	moments	moment	NOUN
ejpam-6192	193	3	of	of	ADP
ejpam-6192	193	4	the	the	DET
ejpam-6192	193	5	distribution	distribution	NOUN
ejpam-6192	193	6	function	function	NOUN
ejpam-6192	193	7	satisfy	satisfy	VERB
ejpam-6192	193	8	the	the	DET
ejpam-6192	193	9	following	follow	VERB
ejpam-6192	193	10	relations	relation	NOUN
ejpam-6192	193	11	:	:	PUNCT
ejpam-6192	193	12	m−1∑	m−1∑	PROPN
ejpam-6192	193	13	i=0	i=0	PROPN
ejpam-6192	193	14	gi(x	gi(x	X
ejpam-6192	193	15	,	,	PUNCT
ejpam-6192	193	16	t	t	PROPN
ejpam-6192	193	17	)	)	PUNCT
ejpam-6192	193	18	=	=	PUNCT
ejpam-6192	194	1	m−1∑	m−1∑	PROPN
ejpam-6192	194	2	i=0	i=0	PROPN
ejpam-6192	194	3	g	g	PROPN
ejpam-6192	194	4	(	(	PUNCT
ejpam-6192	194	5	eq	eq	NOUN
ejpam-6192	194	6	)	)	PUNCT
ejpam-6192	194	7	i	i	PRON
ejpam-6192	194	8	(	(	PUNCT
ejpam-6192	194	9	x	x	PROPN
ejpam-6192	194	10	,	,	PUNCT
ejpam-6192	194	11	t	t	PROPN
ejpam-6192	194	12	)	)	PUNCT
ejpam-6192	194	13	=	=	SYM
ejpam-6192	194	14	i(x	i(x	PROPN
ejpam-6192	194	15	,	,	PUNCT
ejpam-6192	194	16	t	t	PROPN
ejpam-6192	194	17	)	)	PUNCT
ejpam-6192	194	18	,	,	PUNCT
ejpam-6192	194	19	(	(	PUNCT
ejpam-6192	194	20	35	35	NUM
ejpam-6192	194	21	)	)	PUNCT
ejpam-6192	194	22	m−1∑	m−1∑	PROPN
ejpam-6192	194	23	i=0	i=0	PROPN
ejpam-6192	194	24	cig	cig	PROPN
ejpam-6192	194	25	(	(	PUNCT
ejpam-6192	194	26	eq	eq	NOUN
ejpam-6192	194	27	)	)	PUNCT
ejpam-6192	194	28	i	i	PRON
ejpam-6192	194	29	(	(	PUNCT
ejpam-6192	194	30	x	x	PROPN
ejpam-6192	194	31	,	,	PUNCT
ejpam-6192	194	32	t	t	PROPN
ejpam-6192	194	33	)	)	PUNCT
ejpam-6192	194	34	=	=	SYM
ejpam-6192	194	35	0	0	NUM
ejpam-6192	194	36	,	,	PUNCT
ejpam-6192	194	37	(	(	PUNCT
ejpam-6192	194	38	36	36	NUM
ejpam-6192	194	39	)	)	PUNCT
ejpam-6192	194	40	m−1∑	m−1∑	PROPN
ejpam-6192	194	41	i=0	i=0	PROPN
ejpam-6192	194	42	cicig	cicig	X
ejpam-6192	194	43	(	(	PUNCT
ejpam-6192	194	44	eq	eq	NOUN
ejpam-6192	194	45	)	)	PUNCT
ejpam-6192	194	46	i	i	PRON
ejpam-6192	194	47	(	(	PUNCT
ejpam-6192	194	48	x	x	PROPN
ejpam-6192	194	49	,	,	PUNCT
ejpam-6192	194	50	t	t	PROPN
ejpam-6192	194	51	)	)	PUNCT
ejpam-6192	194	52	=	=	SYM
ejpam-6192	194	53	c2si(x	c2si(x	PROPN
ejpam-6192	194	54	,	,	PUNCT
ejpam-6192	194	55	t)i2	t)i2	PROPN
ejpam-6192	194	56	,	,	PUNCT
ejpam-6192	194	57	(	(	PUNCT
ejpam-6192	194	58	37	37	NUM
ejpam-6192	194	59	)	)	PUNCT
ejpam-6192	194	60	where	where	SCONJ
ejpam-6192	194	61	i2	i2	PROPN
ejpam-6192	194	62	is	be	AUX
ejpam-6192	194	63	the	the	DET
ejpam-6192	194	64	identity	identity	NOUN
ejpam-6192	194	65	matrix	matrix	NOUN
ejpam-6192	194	66	in	in	ADP
ejpam-6192	194	67	two	two	NUM
ejpam-6192	194	68	dimensions	dimension	NOUN
ejpam-6192	194	69	.	.	PUNCT
ejpam-6192	195	1	y.	y.	PROPN
ejpam-6192	195	2	douich	douich	PROPN
ejpam-6192	195	3	et	et	PROPN
ejpam-6192	195	4	al	al	PROPN
ejpam-6192	195	5	.	.	PUNCT
ejpam-6192	195	6	/	/	SYM
ejpam-6192	195	7	eur	eur	PROPN
ejpam-6192	195	8	.	.	PUNCT
ejpam-6192	196	1	j.	j.	PROPN
ejpam-6192	196	2	pure	pure	PROPN
ejpam-6192	196	3	appl	appl	PROPN
ejpam-6192	196	4	.	.	PROPN
ejpam-6192	196	5	math	math	PROPN
ejpam-6192	196	6	,	,	PUNCT
ejpam-6192	196	7	18	18	NUM
ejpam-6192	196	8	(	(	PUNCT
ejpam-6192	196	9	3	3	NUM
ejpam-6192	196	10	)	)	PUNCT
ejpam-6192	196	11	(	(	PUNCT
ejpam-6192	196	12	2025	2025	NUM
ejpam-6192	196	13	)	)	PUNCT
ejpam-6192	196	14	,	,	PUNCT
ejpam-6192	196	15	6192	6192	NUM
ejpam-6192	196	16	10	10	NUM
ejpam-6192	196	17	of	of	ADP
ejpam-6192	196	18	32	32	NUM
ejpam-6192	196	19	to	to	PART
ejpam-6192	196	20	derive	derive	VERB
ejpam-6192	196	21	the	the	DET
ejpam-6192	196	22	macroscopic	macroscopic	ADJ
ejpam-6192	196	23	behavior	behavior	NOUN
ejpam-6192	196	24	,	,	PUNCT
ejpam-6192	196	25	we	we	PRON
ejpam-6192	196	26	use	use	VERB
ejpam-6192	196	27	a	a	DET
ejpam-6192	196	28	chapman	chapman	NOUN
ejpam-6192	196	29	–	–	PUNCT
ejpam-6192	196	30	enskog	enskog	PROPN
ejpam-6192	196	31	multiscale	multiscale	PROPN
ejpam-6192	196	32	expansion	expansion	NOUN
ejpam-6192	196	33	:	:	PUNCT
ejpam-6192	196	34	gi	gi	NOUN
ejpam-6192	196	35	=	=	PUNCT
ejpam-6192	196	36	g	g	PROPN
ejpam-6192	196	37	(	(	PUNCT
ejpam-6192	196	38	0	0	NUM
ejpam-6192	196	39	)	)	PUNCT
ejpam-6192	196	40	i	i	PRON
ejpam-6192	197	1	+	+	NUM
ejpam-6192	197	2	εg	εg	PROPN
ejpam-6192	197	3	(	(	PUNCT
ejpam-6192	197	4	1	1	X
ejpam-6192	197	5	)	)	PUNCT
ejpam-6192	197	6	i	i	PRON
ejpam-6192	197	7	+	+	CCONJ
ejpam-6192	198	1	ε2	ε2	ADJ
ejpam-6192	198	2	g	g	NOUN
ejpam-6192	198	3	(	(	PUNCT
ejpam-6192	198	4	2	2	NUM
ejpam-6192	198	5	)	)	PUNCT
ejpam-6192	198	6	i	i	PRON
ejpam-6192	198	7	,	,	PUNCT
ejpam-6192	198	8	∂t	∂t	PROPN
ejpam-6192	198	9	=	=	PUNCT
ejpam-6192	199	1	ε∂t1	ε∂t1	NOUN
ejpam-6192	199	2	+	+	X
ejpam-6192	199	3	ε2∂t2	ε2∂t2	PROPN
ejpam-6192	199	4	,	,	PUNCT
ejpam-6192	199	5	∇	∇	X
ejpam-6192	199	6	=	=	PUNCT
ejpam-6192	199	7	ε∇1	ε∇1	NOUN
ejpam-6192	199	8	,	,	PUNCT
ejpam-6192	199	9	si	si	PROPN
ejpam-6192	199	10	=	=	PUNCT
ejpam-6192	199	11	ε2s	ε2s	PROPN
ejpam-6192	199	12	(	(	PUNCT
ejpam-6192	199	13	2	2	X
ejpam-6192	199	14	)	)	PUNCT
ejpam-6192	199	15	i	i	PRON
ejpam-6192	199	16	.	.	PUNCT
ejpam-6192	200	1	(	(	PUNCT
ejpam-6192	200	2	38	38	NUM
ejpam-6192	200	3	)	)	PUNCT
ejpam-6192	200	4	expanding	expand	VERB
ejpam-6192	200	5	eq	eq	ADP
ejpam-6192	200	6	.	.	PUNCT
ejpam-6192	201	1	(	(	PUNCT
ejpam-6192	201	2	33	33	NUM
ejpam-6192	201	3	)	)	PUNCT
ejpam-6192	201	4	using	use	VERB
ejpam-6192	201	5	taylor	taylor	PROPN
ejpam-6192	201	6	series	series	PROPN
ejpam-6192	201	7	:	:	PUNCT
ejpam-6192	201	8	gi(x+	gi(x+	PROPN
ejpam-6192	201	9	ci∆t	ci∆t	PROPN
ejpam-6192	201	10	,	,	PUNCT
ejpam-6192	201	11	t+∆t)−	t+∆t)−	PROPN
ejpam-6192	201	12	gi(x	gi(x	PROPN
ejpam-6192	201	13	,	,	PUNCT
ejpam-6192	201	14	t	t	PROPN
ejpam-6192	201	15	)	)	PUNCT
ejpam-6192	201	16	=	=	SYM
ejpam-6192	202	1	2∑	2∑	NUM
ejpam-6192	202	2	n=1	n=1	PROPN
ejpam-6192	202	3	∆tn	∆tn	PROPN
ejpam-6192	202	4	n	n	CCONJ
ejpam-6192	202	5	!	!	PUNCT
ejpam-6192	203	1	(	(	PUNCT
ejpam-6192	203	2	∂t	∂t	PROPN
ejpam-6192	203	3	+	+	CCONJ
ejpam-6192	203	4	ci	ci	PROPN
ejpam-6192	203	5	·	·	PUNCT
ejpam-6192	203	6	∇)ngi(x	∇)ngi(x	PROPN
ejpam-6192	203	7	,	,	PUNCT
ejpam-6192	203	8	t	t	PROPN
ejpam-6192	203	9	)	)	PUNCT
ejpam-6192	204	1	+	+	NOUN
ejpam-6192	204	2	o(∆t3	o(∆t3	NOUN
ejpam-6192	204	3	)	)	PUNCT
ejpam-6192	204	4	.	.	PUNCT
ejpam-6192	205	1	(	(	PUNCT
ejpam-6192	205	2	39	39	NUM
ejpam-6192	205	3	)	)	PUNCT
ejpam-6192	205	4	substituting	substitute	VERB
ejpam-6192	205	5	eqs	eqs	PROPN
ejpam-6192	205	6	.	.	PUNCT
ejpam-6192	206	1	(	(	PUNCT
ejpam-6192	206	2	38	38	NUM
ejpam-6192	206	3	)	)	PUNCT
ejpam-6192	206	4	and	and	CCONJ
ejpam-6192	206	5	(	(	PUNCT
ejpam-6192	206	6	39	39	NUM
ejpam-6192	206	7	)	)	PUNCT
ejpam-6192	206	8	into	into	ADP
ejpam-6192	206	9	eq	eq	NOUN
ejpam-6192	206	10	.	.	PUNCT
ejpam-6192	207	1	(	(	PUNCT
ejpam-6192	207	2	33	33	NUM
ejpam-6192	207	3	)	)	PUNCT
ejpam-6192	207	4	and	and	CCONJ
ejpam-6192	207	5	collecting	collect	VERB
ejpam-6192	207	6	terms	term	NOUN
ejpam-6192	207	7	by	by	ADP
ejpam-6192	207	8	ε	ε	NOUN
ejpam-6192	207	9	-	-	PUNCT
ejpam-6192	207	10	order	order	NOUN
ejpam-6192	207	11	yields	yield	NOUN
ejpam-6192	207	12	:	:	PUNCT
ejpam-6192	207	13	∂t1	∂t1	NOUN
ejpam-6192	207	14	g	g	NOUN
ejpam-6192	207	15	(	(	PUNCT
ejpam-6192	207	16	0	0	NUM
ejpam-6192	207	17	)	)	PUNCT
ejpam-6192	207	18	i	i	PRON
ejpam-6192	207	19	+	+	CCONJ
ejpam-6192	208	1	ci	ci	PROPN
ejpam-6192	208	2	·	·	PUNCT
ejpam-6192	208	3	∇1	∇1	PROPN
ejpam-6192	208	4	g	g	PROPN
ejpam-6192	208	5	(	(	PUNCT
ejpam-6192	208	6	0	0	NUM
ejpam-6192	208	7	)	)	PUNCT
ejpam-6192	208	8	i	i	PRON
ejpam-6192	208	9	=	=	PUNCT
ejpam-6192	209	1	−	−	PROPN
ejpam-6192	209	2	1	1	NUM
ejpam-6192	209	3	τg∆t	τg∆t	PROPN
ejpam-6192	209	4	g	g	PROPN
ejpam-6192	209	5	(	(	PUNCT
ejpam-6192	209	6	1	1	NUM
ejpam-6192	209	7	)	)	PUNCT
ejpam-6192	209	8	i	i	PRON
ejpam-6192	209	9	,	,	PUNCT
ejpam-6192	209	10	(	(	PUNCT
ejpam-6192	209	11	40	40	NUM
ejpam-6192	209	12	)	)	PUNCT
ejpam-6192	209	13	∂t2	∂t2	NOUN
ejpam-6192	209	14	g	g	NOUN
ejpam-6192	209	15	(	(	PUNCT
ejpam-6192	209	16	0	0	NUM
ejpam-6192	209	17	)	)	PUNCT
ejpam-6192	210	1	i	i	PRON
ejpam-6192	210	2	+	+	X
ejpam-6192	211	1	(	(	PUNCT
ejpam-6192	211	2	∂t1	∂t1	NOUN
ejpam-6192	211	3	+	+	CCONJ
ejpam-6192	211	4	ci	ci	PROPN
ejpam-6192	211	5	·	·	PUNCT
ejpam-6192	211	6	∇1)g	∇1)g	PROPN
ejpam-6192	211	7	(	(	PUNCT
ejpam-6192	211	8	1	1	X
ejpam-6192	211	9	)	)	PUNCT
ejpam-6192	211	10	i	i	PRON
ejpam-6192	211	11	+	+	CCONJ
ejpam-6192	211	12	∆t	∆t	PROPN
ejpam-6192	211	13	2	2	NUM
ejpam-6192	211	14	(	(	PUNCT
ejpam-6192	211	15	∂t1	∂t1	NOUN
ejpam-6192	211	16	+	+	CCONJ
ejpam-6192	211	17	ci	ci	NOUN
ejpam-6192	211	18	·	·	PUNCT
ejpam-6192	211	19	∇1	∇1	PROPN
ejpam-6192	211	20	)	)	PUNCT
ejpam-6192	211	21	2	2	NUM
ejpam-6192	211	22	g	g	NOUN
ejpam-6192	211	23	(	(	PUNCT
ejpam-6192	211	24	0	0	NUM
ejpam-6192	211	25	)	)	PUNCT
ejpam-6192	211	26	i	i	PRON
ejpam-6192	211	27	=	=	PUNCT
ejpam-6192	212	1	−	−	PROPN
ejpam-6192	212	2	1	1	NUM
ejpam-6192	212	3	τg∆t	τg∆t	PROPN
ejpam-6192	212	4	g	g	PROPN
ejpam-6192	212	5	(	(	PUNCT
ejpam-6192	212	6	2	2	NUM
ejpam-6192	212	7	)	)	PUNCT
ejpam-6192	212	8	i	i	PRON
ejpam-6192	212	9	+	+	X
ejpam-6192	212	10	s	s	X
ejpam-6192	212	11	(	(	PUNCT
ejpam-6192	212	12	2	2	NUM
ejpam-6192	212	13	)	)	PUNCT
ejpam-6192	212	14	i	i	PRON
ejpam-6192	212	15	.	.	PUNCT
ejpam-6192	213	1	(	(	PUNCT
ejpam-6192	213	2	41	41	NUM
ejpam-6192	213	3	)	)	PUNCT
ejpam-6192	213	4	using	use	VERB
ejpam-6192	213	5	the	the	DET
ejpam-6192	213	6	operator	operator	NOUN
ejpam-6192	213	7	d1i	d1i	NOUN
ejpam-6192	213	8	=	=	SYM
ejpam-6192	213	9	∂t1	∂t1	PROPN
ejpam-6192	213	10	+	+	CCONJ
ejpam-6192	213	11	ci	ci	PROPN
ejpam-6192	213	12	·	·	PUNCT
ejpam-6192	213	13	∇1	∇1	NOUN
ejpam-6192	213	14	,	,	PUNCT
ejpam-6192	213	15	eq	eq	NOUN
ejpam-6192	213	16	.	.	PUNCT
ejpam-6192	214	1	(	(	PUNCT
ejpam-6192	214	2	40	40	NUM
ejpam-6192	214	3	)	)	PUNCT
ejpam-6192	214	4	becomes	become	VERB
ejpam-6192	214	5	:	:	PUNCT
ejpam-6192	214	6	d1ig	d1ig	X
ejpam-6192	214	7	(	(	PUNCT
ejpam-6192	214	8	0	0	NUM
ejpam-6192	214	9	)	)	PUNCT
ejpam-6192	214	10	i	i	PRON
ejpam-6192	214	11	=	=	PUNCT
ejpam-6192	215	1	−	−	PROPN
ejpam-6192	215	2	1	1	NUM
ejpam-6192	215	3	τg∆t	τg∆t	PROPN
ejpam-6192	215	4	g	g	PROPN
ejpam-6192	215	5	(	(	PUNCT
ejpam-6192	215	6	1	1	NUM
ejpam-6192	215	7	)	)	PUNCT
ejpam-6192	215	8	i	i	PRON
ejpam-6192	215	9	.	.	PUNCT
ejpam-6192	216	1	(	(	PUNCT
ejpam-6192	216	2	42	42	X
ejpam-6192	216	3	)	)	PUNCT
ejpam-6192	216	4	substituting	substitute	VERB
ejpam-6192	216	5	into	into	ADP
ejpam-6192	216	6	eq	eq	NOUN
ejpam-6192	216	7	.	.	PUNCT
ejpam-6192	217	1	(	(	PUNCT
ejpam-6192	217	2	41	41	NUM
ejpam-6192	217	3	)	)	PUNCT
ejpam-6192	217	4	,	,	PUNCT
ejpam-6192	217	5	we	we	PRON
ejpam-6192	217	6	get	get	VERB
ejpam-6192	217	7	:	:	PUNCT
ejpam-6192	217	8	∂t2	∂t2	NOUN
ejpam-6192	217	9	g	g	NOUN
ejpam-6192	217	10	(	(	PUNCT
ejpam-6192	217	11	0	0	NUM
ejpam-6192	217	12	)	)	PUNCT
ejpam-6192	218	1	i	i	PRON
ejpam-6192	218	2	+	+	CCONJ
ejpam-6192	219	1	(	(	PUNCT
ejpam-6192	219	2	1−	1−	NUM
ejpam-6192	219	3	1	1	NUM
ejpam-6192	219	4	2τg	2τg	NOUN
ejpam-6192	219	5	)	)	PUNCT
ejpam-6192	219	6	d2	d2	PROPN
ejpam-6192	219	7	1ig	1ig	NOUN
ejpam-6192	219	8	(	(	PUNCT
ejpam-6192	219	9	0	0	NUM
ejpam-6192	219	10	)	)	PUNCT
ejpam-6192	219	11	i	i	PRON
ejpam-6192	219	12	=	=	PUNCT
ejpam-6192	220	1	−	−	PROPN
ejpam-6192	220	2	1	1	NUM
ejpam-6192	220	3	τg∆t	τg∆t	PROPN
ejpam-6192	220	4	g	g	PROPN
ejpam-6192	220	5	(	(	PUNCT
ejpam-6192	220	6	2	2	NUM
ejpam-6192	220	7	)	)	PUNCT
ejpam-6192	220	8	i	i	PRON
ejpam-6192	220	9	+	+	X
ejpam-6192	220	10	s	s	X
ejpam-6192	220	11	(	(	PUNCT
ejpam-6192	220	12	2	2	NUM
ejpam-6192	220	13	)	)	PUNCT
ejpam-6192	220	14	i	i	PRON
ejpam-6192	220	15	.	.	PUNCT
ejpam-6192	221	1	(	(	PUNCT
ejpam-6192	221	2	43	43	X
ejpam-6192	221	3	)	)	PUNCT
ejpam-6192	221	4	summing	sum	VERB
ejpam-6192	221	5	over	over	ADP
ejpam-6192	221	6	all	all	DET
ejpam-6192	221	7	i	i	PRON
ejpam-6192	221	8	and	and	CCONJ
ejpam-6192	221	9	using	use	VERB
ejpam-6192	221	10	eq	eq	X
ejpam-6192	221	11	.	.	PUNCT
ejpam-6192	222	1	(	(	PUNCT
ejpam-6192	222	2	35	35	NUM
ejpam-6192	222	3	)	)	PUNCT
ejpam-6192	222	4	and	and	CCONJ
ejpam-6192	222	5	properties	property	NOUN
ejpam-6192	222	6	of	of	ADP
ejpam-6192	222	7	the	the	DET
ejpam-6192	222	8	equilibrium	equilibrium	NOUN
ejpam-6192	222	9	distribution	distribution	NOUN
ejpam-6192	222	10	,	,	PUNCT
ejpam-6192	222	11	we	we	PRON
ejpam-6192	222	12	obtain	obtain	VERB
ejpam-6192	222	13	:	:	PUNCT
ejpam-6192	222	14	∂t1i	∂t1i	PROPN
ejpam-6192	222	15	=	=	SYM
ejpam-6192	222	16	0	0	NUM
ejpam-6192	222	17	,	,	PUNCT
ejpam-6192	222	18	(	(	PUNCT
ejpam-6192	222	19	44	44	NUM
ejpam-6192	222	20	)	)	PUNCT
ejpam-6192	222	21	∂t2i	∂t2i	PUNCT
ejpam-6192	223	1	+	+	PUNCT
ejpam-6192	223	2	(	(	PUNCT
ejpam-6192	223	3	1−	1−	NUM
ejpam-6192	223	4	1	1	NUM
ejpam-6192	223	5	2τg	2τg	NOUN
ejpam-6192	223	6	)	)	PUNCT
ejpam-6192	223	7	∇1	∇1	PROPN
ejpam-6192	223	8	·	·	PUNCT
ejpam-6192	223	9	(	(	PUNCT
ejpam-6192	223	10	m−1∑	m−1∑	NUM
ejpam-6192	223	11	i=0	i=0	PROPN
ejpam-6192	223	12	cig	cig	PROPN
ejpam-6192	223	13	(	(	PUNCT
ejpam-6192	223	14	1	1	X
ejpam-6192	223	15	)	)	PUNCT
ejpam-6192	223	16	i	i	PRON
ejpam-6192	223	17	)	)	PUNCT
ejpam-6192	223	18	=	=	PUNCT
ejpam-6192	223	19	s(2	s(2	PROPN
ejpam-6192	223	20	)	)	PUNCT
ejpam-6192	223	21	,	,	PUNCT
ejpam-6192	223	22	(	(	PUNCT
ejpam-6192	223	23	45	45	NUM
ejpam-6192	223	24	)	)	PUNCT
ejpam-6192	223	25	where	where	SCONJ
ejpam-6192	223	26	s(2	s(2	NOUN
ejpam-6192	223	27	)	)	PUNCT
ejpam-6192	223	28	=	=	PUNCT
ejpam-6192	223	29	∑	∑	PUNCT
ejpam-6192	223	30	i	i	PRON
ejpam-6192	223	31	s	s	PROPN
ejpam-6192	223	32	(	(	PUNCT
ejpam-6192	223	33	2	2	NUM
ejpam-6192	223	34	)	)	PUNCT
ejpam-6192	223	35	i	i	PRON
ejpam-6192	223	36	.	.	PUNCT
ejpam-6192	224	1	to	to	PART
ejpam-6192	224	2	evaluate	evaluate	VERB
ejpam-6192	224	3	the	the	DET
ejpam-6192	224	4	flux	flux	NOUN
ejpam-6192	224	5	term	term	NOUN
ejpam-6192	224	6	,	,	PUNCT
ejpam-6192	224	7	we	we	PRON
ejpam-6192	224	8	use	use	VERB
ejpam-6192	224	9	eq	eq	ADP
ejpam-6192	224	10	.	.	PUNCT
ejpam-6192	225	1	(	(	PUNCT
ejpam-6192	225	2	42):∑	42):∑	NUM
ejpam-6192	225	3	i	i	PRON
ejpam-6192	225	4	cig	cig	PROPN
ejpam-6192	225	5	(	(	PUNCT
ejpam-6192	225	6	1	1	X
ejpam-6192	225	7	)	)	PUNCT
ejpam-6192	225	8	i	i	PRON
ejpam-6192	226	1	=	=	PUNCT
ejpam-6192	227	1	−τg∆t	−τg∆t	INTJ
ejpam-6192	227	2	∑	∑	PUNCT
ejpam-6192	227	3	i	i	PRON
ejpam-6192	227	4	cid1ig	cid1ig	NOUN
ejpam-6192	227	5	(	(	PUNCT
ejpam-6192	227	6	eq	eq	NOUN
ejpam-6192	227	7	)	)	PUNCT
ejpam-6192	227	8	i	i	PROPN
ejpam-6192	227	9	=	=	PROPN
ejpam-6192	227	10	−τg∆tc2s∇1i	−τg∆tc2s∇1i	PROPN
ejpam-6192	227	11	.	.	PUNCT
ejpam-6192	228	1	(	(	PUNCT
ejpam-6192	228	2	46	46	X
ejpam-6192	228	3	)	)	PUNCT
ejpam-6192	228	4	substituting	substitute	VERB
ejpam-6192	228	5	into	into	ADP
ejpam-6192	228	6	eq	eq	NOUN
ejpam-6192	228	7	.	.	PUNCT
ejpam-6192	229	1	(	(	PUNCT
ejpam-6192	229	2	45	45	NUM
ejpam-6192	229	3	)	)	PUNCT
ejpam-6192	229	4	gives	give	VERB
ejpam-6192	229	5	:	:	PUNCT
ejpam-6192	229	6	∂t2i	∂t2i	PUNCT
ejpam-6192	229	7	=	=	SYM
ejpam-6192	230	1	c2s(τg	c2s(τg	PROPN
ejpam-6192	230	2	−	−	NOUN
ejpam-6192	230	3	1	1	NUM
ejpam-6192	230	4	2	2	NUM
ejpam-6192	230	5	)	)	PUNCT
ejpam-6192	230	6	∆t∇2	∆t∇2	PROPN
ejpam-6192	231	1	1i	1i	NOUN
ejpam-6192	231	2	+	+	X
ejpam-6192	231	3	s(2	s(2	NOUN
ejpam-6192	231	4	)	)	PUNCT
ejpam-6192	231	5	.	.	PUNCT
ejpam-6192	232	1	(	(	PUNCT
ejpam-6192	232	2	47	47	NUM
ejpam-6192	232	3	)	)	PUNCT
ejpam-6192	232	4	combining	combine	VERB
ejpam-6192	232	5	eqs	eqs	PROPN
ejpam-6192	232	6	.	.	PUNCT
ejpam-6192	233	1	(	(	PUNCT
ejpam-6192	233	2	44	44	NUM
ejpam-6192	233	3	)	)	PUNCT
ejpam-6192	233	4	and	and	CCONJ
ejpam-6192	233	5	(	(	PUNCT
ejpam-6192	233	6	47	47	NUM
ejpam-6192	233	7	)	)	PUNCT
ejpam-6192	233	8	,	,	PUNCT
ejpam-6192	233	9	and	and	CCONJ
ejpam-6192	233	10	setting	set	VERB
ejpam-6192	233	11	α	α	NOUN
ejpam-6192	233	12	=	=	PUNCT
ejpam-6192	234	1	c2s(τg−1	c2s(τg−1	PROPN
ejpam-6192	234	2	2)∆t	2)∆t	NUM
ejpam-6192	234	3	,	,	PUNCT
ejpam-6192	234	4	we	we	PRON
ejpam-6192	234	5	recover	recover	VERB
ejpam-6192	234	6	the	the	DET
ejpam-6192	234	7	macroscopic	macroscopic	ADJ
ejpam-6192	234	8	nonlinear	nonlinear	ADJ
ejpam-6192	234	9	heat	heat	NOUN
ejpam-6192	234	10	equation	equation	NOUN
ejpam-6192	234	11	:	:	PUNCT
ejpam-6192	234	12	∂ti	∂ti	PROPN
ejpam-6192	234	13	=	=	SYM
ejpam-6192	234	14	α∇2i(x	α∇2i(x	PROPN
ejpam-6192	234	15	,	,	PUNCT
ejpam-6192	234	16	t	t	PROPN
ejpam-6192	234	17	)	)	PUNCT
ejpam-6192	234	18	+	+	NUM
ejpam-6192	234	19	αω(x	αω(x	NUM
ejpam-6192	234	20	,	,	PUNCT
ejpam-6192	234	21	t	t	PROPN
ejpam-6192	234	22	)	)	PUNCT
ejpam-6192	234	23	.	.	PUNCT
ejpam-6192	235	1	(	(	PUNCT
ejpam-6192	235	2	48	48	NUM
ejpam-6192	235	3	)	)	PUNCT
ejpam-6192	235	4	y.	y.	PROPN
ejpam-6192	235	5	douich	douich	PROPN
ejpam-6192	235	6	et	et	PROPN
ejpam-6192	235	7	al	al	PROPN
ejpam-6192	235	8	.	.	PUNCT
ejpam-6192	235	9	/	/	SYM
ejpam-6192	235	10	eur	eur	PROPN
ejpam-6192	235	11	.	.	PUNCT
ejpam-6192	236	1	j.	j.	PROPN
ejpam-6192	236	2	pure	pure	PROPN
ejpam-6192	236	3	appl	appl	PROPN
ejpam-6192	236	4	.	.	PROPN
ejpam-6192	236	5	math	math	PROPN
ejpam-6192	236	6	,	,	PUNCT
ejpam-6192	236	7	18	18	NUM
ejpam-6192	236	8	(	(	PUNCT
ejpam-6192	236	9	3	3	NUM
ejpam-6192	236	10	)	)	PUNCT
ejpam-6192	236	11	(	(	PUNCT
ejpam-6192	236	12	2025	2025	NUM
ejpam-6192	236	13	)	)	PUNCT
ejpam-6192	236	14	,	,	PUNCT
ejpam-6192	236	15	6192	6192	NUM
ejpam-6192	236	16	11	11	NUM
ejpam-6192	236	17	of	of	ADP
ejpam-6192	236	18	32	32	NUM
ejpam-6192	236	19	4.3	4.3	NUM
ejpam-6192	236	20	.	.	PUNCT
ejpam-6192	237	1	computation	computation	NOUN
ejpam-6192	237	2	of	of	ADP
ejpam-6192	237	3	∇ω	∇ω	PROPN
ejpam-6192	237	4	,	,	PUNCT
ejpam-6192	237	5	τ	τ	PROPN
ejpam-6192	237	6	,	,	PUNCT
ejpam-6192	237	7	τg	τg	PROPN
ejpam-6192	237	8	,	,	PUNCT
ejpam-6192	237	9	and	and	CCONJ
ejpam-6192	237	10	∇⊥i	∇⊥i	NOUN
ejpam-6192	237	11	in	in	ADP
ejpam-6192	237	12	the	the	DET
ejpam-6192	237	13	macroscopic	macroscopic	ADJ
ejpam-6192	237	14	equation	equation	NOUN
ejpam-6192	237	15	(	(	PUNCT
ejpam-6192	237	16	6	6	NUM
ejpam-6192	237	17	)	)	PUNCT
ejpam-6192	237	18	,	,	PUNCT
ejpam-6192	237	19	the	the	DET
ejpam-6192	237	20	coefficient	coefficient	NOUN
ejpam-6192	237	21	g(s	g(s	NOUN
ejpam-6192	237	22	)	)	PUNCT
ejpam-6192	237	23	represents	represent	VERB
ejpam-6192	237	24	a	a	DET
ejpam-6192	237	25	positive	positive	ADJ
ejpam-6192	237	26	,	,	PUNCT
ejpam-6192	237	27	non	non	ADJ
ejpam-6192	237	28	-	-	ADJ
ejpam-6192	237	29	increasing	increasing	ADJ
ejpam-6192	237	30	diffusion	diffusion	NOUN
ejpam-6192	237	31	function	function	NOUN
ejpam-6192	237	32	.	.	PUNCT
ejpam-6192	238	1	inspired	inspire	VERB
ejpam-6192	238	2	by	by	ADP
ejpam-6192	238	3	the	the	DET
ejpam-6192	238	4	work	work	NOUN
ejpam-6192	238	5	of	of	ADP
ejpam-6192	238	6	perona	perona	NOUN
ejpam-6192	238	7	and	and	CCONJ
ejpam-6192	238	8	malik	malik	PROPN
ejpam-6192	239	1	[	[	X
ejpam-6192	239	2	40	40	NUM
ejpam-6192	239	3	]	]	PUNCT
ejpam-6192	239	4	,	,	PUNCT
ejpam-6192	239	5	typical	typical	ADJ
ejpam-6192	239	6	choices	choice	NOUN
ejpam-6192	239	7	for	for	ADP
ejpam-6192	239	8	g(s	g(	NOUN
ejpam-6192	239	9	)	)	PUNCT
ejpam-6192	239	10	,	,	PUNCT
ejpam-6192	239	11	where	where	SCONJ
ejpam-6192	239	12	s	s	AUX
ejpam-6192	239	13	=	=	ADJ
ejpam-6192	239	14	∥∇ω∥	∥∇ω∥	PROPN
ejpam-6192	239	15	,	,	PUNCT
ejpam-6192	239	16	include	include	VERB
ejpam-6192	239	17	:	:	PUNCT
ejpam-6192	239	18	g(s	g(s	X
ejpam-6192	239	19	)	)	PUNCT
ejpam-6192	240	1	=	=	SYM
ejpam-6192	240	2	e−ls2	e−ls2	X
ejpam-6192	240	3	,	,	PUNCT
ejpam-6192	240	4	or	or	CCONJ
ejpam-6192	240	5	g(s	g(	NOUN
ejpam-6192	240	6	)	)	PUNCT
ejpam-6192	240	7	=	=	SYM
ejpam-6192	240	8	1	1	NUM
ejpam-6192	240	9	1	1	NUM
ejpam-6192	240	10	+	+	NUM
ejpam-6192	240	11	ls2	ls2	NOUN
ejpam-6192	240	12	,	,	PUNCT
ejpam-6192	240	13	(	(	PUNCT
ejpam-6192	240	14	49	49	NUM
ejpam-6192	240	15	)	)	PUNCT
ejpam-6192	240	16	where	where	SCONJ
ejpam-6192	240	17	l	l	NOUN
ejpam-6192	240	18	>	>	X
ejpam-6192	240	19	0	0	PUNCT
ejpam-6192	240	20	is	be	AUX
ejpam-6192	240	21	a	a	DET
ejpam-6192	240	22	tunable	tunable	ADJ
ejpam-6192	240	23	parameter	parameter	NOUN
ejpam-6192	240	24	.	.	PUNCT
ejpam-6192	241	1	in	in	ADP
ejpam-6192	241	2	this	this	DET
ejpam-6192	241	3	work	work	NOUN
ejpam-6192	241	4	,	,	PUNCT
ejpam-6192	241	5	we	we	PRON
ejpam-6192	241	6	adopt	adopt	VERB
ejpam-6192	241	7	the	the	DET
ejpam-6192	241	8	second	second	ADJ
ejpam-6192	241	9	form	form	NOUN
ejpam-6192	241	10	:	:	PUNCT
ejpam-6192	241	11	g(s	g(s	NOUN
ejpam-6192	241	12	)	)	PUNCT
ejpam-6192	241	13	=	=	SYM
ejpam-6192	241	14	1	1	NUM
ejpam-6192	241	15	1	1	NUM
ejpam-6192	241	16	+	+	NUM
ejpam-6192	241	17	l∥∇ω∥2	l∥∇ω∥2	NOUN
ejpam-6192	241	18	.	.	PUNCT
ejpam-6192	242	1	(	(	PUNCT
ejpam-6192	242	2	50	50	NUM
ejpam-6192	242	3	)	)	PUNCT
ejpam-6192	242	4	under	under	ADP
ejpam-6192	242	5	the	the	DET
ejpam-6192	242	6	anisotropic	anisotropic	NOUN
ejpam-6192	242	7	diffusion	diffusion	NOUN
ejpam-6192	242	8	framework	framework	NOUN
ejpam-6192	242	9	where	where	SCONJ
ejpam-6192	242	10	k	k	PROPN
ejpam-6192	242	11	=	=	SYM
ejpam-6192	242	12	g(∥∇ω∥	g(∥∇ω∥	PROPN
ejpam-6192	242	13	)	)	PUNCT
ejpam-6192	242	14	,	,	PUNCT
ejpam-6192	242	15	the	the	DET
ejpam-6192	242	16	relaxation	relaxation	NOUN
ejpam-6192	242	17	times	times	PROPN
ejpam-6192	242	18	τ	τ	PROPN
ejpam-6192	242	19	and	and	CCONJ
ejpam-6192	242	20	τg	τg	PROPN
ejpam-6192	242	21	are	be	AUX
ejpam-6192	242	22	obtained	obtain	VERB
ejpam-6192	242	23	from	from	ADP
ejpam-6192	242	24	the	the	DET
ejpam-6192	242	25	macro	macro	NOUN
ejpam-6192	242	26	-	-	PROPN
ejpam-6192	242	27	micro	micro	ADJ
ejpam-6192	242	28	relations	relation	NOUN
ejpam-6192	242	29	:	:	PUNCT
ejpam-6192	242	30	νk	νk	X
ejpam-6192	242	31	=	=	SYM
ejpam-6192	242	32	c2s	c2s	PROPN
ejpam-6192	242	33	(	(	PUNCT
ejpam-6192	242	34	τ	τ	X
ejpam-6192	242	35	−	−	PROPN
ejpam-6192	242	36	1	1	NUM
ejpam-6192	242	37	2	2	NUM
ejpam-6192	242	38	)	)	PUNCT
ejpam-6192	242	39	∆t	∆t	PROPN
ejpam-6192	242	40	,	,	PUNCT
ejpam-6192	242	41	α	α	X
ejpam-6192	242	42	=	=	PUNCT
ejpam-6192	242	43	c2s	c2s	PROPN
ejpam-6192	242	44	(	(	PUNCT
ejpam-6192	242	45	τg	τg	NUM
ejpam-6192	242	46	−	−	NUM
ejpam-6192	242	47	1	1	NUM
ejpam-6192	242	48	2	2	NUM
ejpam-6192	242	49	)	)	PUNCT
ejpam-6192	242	50	∆t	∆t	PROPN
ejpam-6192	242	51	.	.	PUNCT
ejpam-6192	243	1	(	(	PUNCT
ejpam-6192	243	2	51	51	NUM
ejpam-6192	243	3	)	)	PUNCT
ejpam-6192	243	4	hence	hence	ADV
ejpam-6192	243	5	,	,	PUNCT
ejpam-6192	243	6	the	the	DET
ejpam-6192	243	7	expressions	expression	NOUN
ejpam-6192	243	8	for	for	ADP
ejpam-6192	243	9	τ	τ	PROPN
ejpam-6192	243	10	and	and	CCONJ
ejpam-6192	243	11	τg	τg	NUM
ejpam-6192	243	12	are	be	AUX
ejpam-6192	243	13	:	:	PUNCT
ejpam-6192	243	14	τ	τ	PROPN
ejpam-6192	243	15	=	=	NOUN
ejpam-6192	243	16	1	1	NUM
ejpam-6192	243	17	2	2	NUM
ejpam-6192	243	18	+	+	CCONJ
ejpam-6192	243	19	νk	νk	NOUN
ejpam-6192	243	20	c2s∆t	c2s∆t	NOUN
ejpam-6192	243	21	=	=	SYM
ejpam-6192	243	22			NUM
ejpam-6192	243	23	1	1	NUM
ejpam-6192	243	24	2	2	NUM
ejpam-6192	243	25	+	+	CCONJ
ejpam-6192	243	26	5∆tν	5∆tν	NUM
ejpam-6192	243	27	2(∆x)2(1	2(∆x)2(1	NUM
ejpam-6192	243	28	+	+	CCONJ
ejpam-6192	243	29	l∥∇ω∥2	l∥∇ω∥2	X
ejpam-6192	243	30	)	)	PUNCT
ejpam-6192	243	31	for	for	ADP
ejpam-6192	243	32	d2q5	d2q5	PROPN
ejpam-6192	243	33	lattice	lattice	PROPN
ejpam-6192	243	34	,	,	PUNCT
ejpam-6192	243	35	1	1	NUM
ejpam-6192	243	36	2	2	NUM
ejpam-6192	243	37	+	+	CCONJ
ejpam-6192	243	38	3∆tν	3∆tν	NUM
ejpam-6192	243	39	(	(	PUNCT
ejpam-6192	243	40	∆x)2(1	∆x)2(1	NOUN
ejpam-6192	243	41	+	+	CCONJ
ejpam-6192	243	42	l∥∇ω∥2	l∥∇ω∥2	NUM
ejpam-6192	243	43	)	)	PUNCT
ejpam-6192	243	44	for	for	ADP
ejpam-6192	243	45	d2q9	d2q9	NOUN
ejpam-6192	243	46	lattice	lattice	NOUN
ejpam-6192	243	47	.	.	PUNCT
ejpam-6192	244	1	(	(	PUNCT
ejpam-6192	244	2	52	52	NUM
ejpam-6192	244	3	)	)	PUNCT
ejpam-6192	244	4	τg	τg	NOUN
ejpam-6192	245	1	=	=	NOUN
ejpam-6192	245	2	1	1	NUM
ejpam-6192	245	3	2	2	NUM
ejpam-6192	245	4	+	+	NUM
ejpam-6192	245	5	α	α	NOUN
ejpam-6192	245	6	c2s∆t	c2s∆t	NOUN
ejpam-6192	245	7	=	=	SYM
ejpam-6192	245	8			NUM
ejpam-6192	245	9	1	1	NUM
ejpam-6192	245	10	2	2	NUM
ejpam-6192	245	11	+	+	NUM
ejpam-6192	245	12	5∆t	5∆t	NUM
ejpam-6192	245	13	2(∆x)2	2(∆x)2	NUM
ejpam-6192	245	14	α	α	NOUN
ejpam-6192	245	15	for	for	ADP
ejpam-6192	245	16	d2q5	d2q5	PROPN
ejpam-6192	245	17	lattice	lattice	NOUN
ejpam-6192	245	18	,	,	PUNCT
ejpam-6192	245	19	1	1	NUM
ejpam-6192	245	20	2	2	NUM
ejpam-6192	245	21	+	+	NUM
ejpam-6192	245	22	3∆t	3∆t	NUM
ejpam-6192	245	23	(	(	PUNCT
ejpam-6192	245	24	∆x)2	∆x)2	NOUN
ejpam-6192	245	25	α	α	NOUN
ejpam-6192	245	26	for	for	ADP
ejpam-6192	245	27	d2q9	d2q9	NOUN
ejpam-6192	245	28	lattice	lattice	NOUN
ejpam-6192	245	29	.	.	PUNCT
ejpam-6192	246	1	(	(	PUNCT
ejpam-6192	246	2	53	53	NUM
ejpam-6192	246	3	)	)	PUNCT
ejpam-6192	246	4	to	to	PART
ejpam-6192	246	5	compute	compute	VERB
ejpam-6192	246	6	τ	τ	PROPN
ejpam-6192	246	7	from	from	ADP
ejpam-6192	246	8	eq	eq	ADP
ejpam-6192	246	9	.	.	PUNCT
ejpam-6192	247	1	(	(	PUNCT
ejpam-6192	247	2	52	52	NUM
ejpam-6192	247	3	)	)	PUNCT
ejpam-6192	247	4	,	,	PUNCT
ejpam-6192	247	5	one	one	PRON
ejpam-6192	247	6	needs	need	VERB
ejpam-6192	247	7	to	to	PART
ejpam-6192	247	8	first	first	ADV
ejpam-6192	247	9	evaluate	evaluate	VERB
ejpam-6192	247	10	the	the	DET
ejpam-6192	247	11	vorticity	vorticity	NOUN
ejpam-6192	247	12	gradient	gradient	NOUN
ejpam-6192	247	13	∇ω	∇ω	PROPN
ejpam-6192	247	14	.	.	PUNCT
ejpam-6192	248	1	this	this	PRON
ejpam-6192	248	2	is	be	AUX
ejpam-6192	248	3	computed	compute	VERB
ejpam-6192	248	4	using	use	VERB
ejpam-6192	248	5	a	a	DET
ejpam-6192	248	6	central	central	ADJ
ejpam-6192	248	7	finite	finite	ADJ
ejpam-6192	248	8	difference	difference	NOUN
ejpam-6192	248	9	scheme	scheme	NOUN
ejpam-6192	248	10	depending	depend	VERB
ejpam-6192	248	11	on	on	ADP
ejpam-6192	248	12	the	the	DET
ejpam-6192	248	13	lattice	lattice	PROPN
ejpam-6192	248	14	model	model	NOUN
ejpam-6192	248	15	:	:	PUNCT
ejpam-6192	248	16	∇ω(x	∇ω(x	PROPN
ejpam-6192	248	17	,	,	PUNCT
ejpam-6192	248	18	t	t	PROPN
ejpam-6192	248	19	)	)	PUNCT
ejpam-6192	248	20	=	=	PUNCT
ejpam-6192	249	1			PROPN
ejpam-6192	249	2	1	1	NUM
ejpam-6192	249	3	2∆x	2∆x	NUM
ejpam-6192	249	4	4∑	4∑	NUM
ejpam-6192	249	5	i=0	i=0	PROPN
ejpam-6192	249	6	eiω(x+	eiω(x+	X
ejpam-6192	249	7	ci∆t	ci∆t	PROPN
ejpam-6192	249	8	)	)	PUNCT
ejpam-6192	249	9	,	,	PUNCT
ejpam-6192	249	10	for	for	ADP
ejpam-6192	249	11	d2q5	d2q5	PROPN
ejpam-6192	249	12	lattice	lattice	NOUN
ejpam-6192	249	13	,	,	PUNCT
ejpam-6192	249	14	1	1	NUM
ejpam-6192	249	15	6∆x	6∆x	NUM
ejpam-6192	249	16	8∑	8∑	NUM
ejpam-6192	249	17	i=0	i=0	PROPN
ejpam-6192	249	18	eiω(x+	eiω(x+	PROPN
ejpam-6192	249	19	ci∆t	ci∆t	PROPN
ejpam-6192	249	20	)	)	PUNCT
ejpam-6192	249	21	,	,	PUNCT
ejpam-6192	249	22	for	for	ADP
ejpam-6192	249	23	d2q9	d2q9	NOUN
ejpam-6192	249	24	lattice	lattice	NOUN
ejpam-6192	249	25	,	,	PUNCT
ejpam-6192	249	26	(	(	PUNCT
ejpam-6192	249	27	54	54	NUM
ejpam-6192	249	28	)	)	PUNCT
ejpam-6192	249	29	where	where	SCONJ
ejpam-6192	249	30	ei	ei	NOUN
ejpam-6192	249	31	=	=	PUNCT
ejpam-6192	249	32	ci	ci	PROPN
ejpam-6192	249	33	c	c	PROPN
ejpam-6192	249	34	.	.	PUNCT
ejpam-6192	250	1	to	to	PART
ejpam-6192	250	2	evaluate	evaluate	VERB
ejpam-6192	250	3	the	the	DET
ejpam-6192	250	4	image	image	NOUN
ejpam-6192	250	5	gradient	gradient	NOUN
ejpam-6192	250	6	∇i	∇i	PROPN
ejpam-6192	250	7	,	,	PUNCT
ejpam-6192	250	8	we	we	PRON
ejpam-6192	250	9	recall	recall	VERB
ejpam-6192	250	10	from	from	ADP
ejpam-6192	250	11	eq	eq	PROPN
ejpam-6192	250	12	.	.	PUNCT
ejpam-6192	251	1	(	(	PUNCT
ejpam-6192	251	2	46	46	NUM
ejpam-6192	251	3	)	)	PUNCT
ejpam-6192	252	1	that	that	SCONJ
ejpam-6192	252	2	:	:	PUNCT
ejpam-6192	252	3	∇1i	∇1i	PROPN
ejpam-6192	252	4	=	=	SYM
ejpam-6192	252	5	−	−	NUM
ejpam-6192	252	6	1	1	NUM
ejpam-6192	252	7	τg∆tc2s	τg∆tc2	NOUN
ejpam-6192	252	8	m−1∑	m−1∑	PROPN
ejpam-6192	252	9	i=0	i=0	PROPN
ejpam-6192	252	10	cig	cig	PROPN
ejpam-6192	252	11	(	(	PUNCT
ejpam-6192	252	12	1	1	X
ejpam-6192	252	13	)	)	PUNCT
ejpam-6192	252	14	i	i	PRON
ejpam-6192	252	15	.	.	PUNCT
ejpam-6192	253	1	(	(	PUNCT
ejpam-6192	253	2	55	55	NUM
ejpam-6192	253	3	)	)	PUNCT
ejpam-6192	253	4	y.	y.	NOUN
ejpam-6192	253	5	douich	douich	PROPN
ejpam-6192	253	6	et	et	PROPN
ejpam-6192	253	7	al	al	PROPN
ejpam-6192	253	8	.	.	PUNCT
ejpam-6192	253	9	/	/	SYM
ejpam-6192	253	10	eur	eur	PROPN
ejpam-6192	253	11	.	.	PUNCT
ejpam-6192	254	1	j.	j.	PROPN
ejpam-6192	254	2	pure	pure	PROPN
ejpam-6192	254	3	appl	appl	PROPN
ejpam-6192	254	4	.	.	PROPN
ejpam-6192	254	5	math	math	PROPN
ejpam-6192	254	6	,	,	PUNCT
ejpam-6192	254	7	18	18	NUM
ejpam-6192	254	8	(	(	PUNCT
ejpam-6192	254	9	3	3	NUM
ejpam-6192	254	10	)	)	PUNCT
ejpam-6192	254	11	(	(	PUNCT
ejpam-6192	254	12	2025	2025	NUM
ejpam-6192	254	13	)	)	PUNCT
ejpam-6192	254	14	,	,	PUNCT
ejpam-6192	254	15	6192	6192	NUM
ejpam-6192	254	16	12	12	NUM
ejpam-6192	254	17	of	of	ADP
ejpam-6192	254	18	32	32	NUM
ejpam-6192	254	19	assuming	assume	VERB
ejpam-6192	254	20	εg	εg	X
ejpam-6192	254	21	(	(	PUNCT
ejpam-6192	254	22	1	1	X
ejpam-6192	254	23	)	)	PUNCT
ejpam-6192	255	1	i	i	PRON
ejpam-6192	256	1	≈	≈	PROPN
ejpam-6192	257	1	gi	gi	INTJ
ejpam-6192	257	2	−	−	PROPN
ejpam-6192	258	1	g	g	PROPN
ejpam-6192	258	2	(	(	PUNCT
ejpam-6192	258	3	eq	eq	NOUN
ejpam-6192	258	4	)	)	PUNCT
ejpam-6192	258	5	i	i	PRON
ejpam-6192	258	6	,	,	PUNCT
ejpam-6192	258	7	and	and	CCONJ
ejpam-6192	258	8	substituting	substitute	VERB
ejpam-6192	258	9	from	from	ADP
ejpam-6192	258	10	eq	eq	ADP
ejpam-6192	258	11	.	.	PUNCT
ejpam-6192	259	1	(	(	PUNCT
ejpam-6192	259	2	34	34	NUM
ejpam-6192	259	3	)	)	PUNCT
ejpam-6192	259	4	,	,	PUNCT
ejpam-6192	259	5	we	we	PRON
ejpam-6192	259	6	obtain	obtain	VERB
ejpam-6192	259	7	:	:	PUNCT
ejpam-6192	259	8	∇i	∇i	NOUN
ejpam-6192	259	9	=	=	SYM
ejpam-6192	259	10	−	−	PROPN
ejpam-6192	259	11	1	1	NUM
ejpam-6192	259	12	τg∆tc2s	τg∆tc2	NOUN
ejpam-6192	259	13	m−1∑	m−1∑	NUM
ejpam-6192	259	14	i=0	i=0	PROPN
ejpam-6192	259	15	cigi(x	cigi(x	PROPN
ejpam-6192	259	16	)	)	PUNCT
ejpam-6192	259	17	,	,	PUNCT
ejpam-6192	259	18	(	(	PUNCT
ejpam-6192	259	19	56	56	NUM
ejpam-6192	259	20	)	)	PUNCT
ejpam-6192	259	21	where	where	SCONJ
ejpam-6192	259	22	we	we	PRON
ejpam-6192	259	23	used	use	VERB
ejpam-6192	259	24	the	the	DET
ejpam-6192	259	25	fact	fact	NOUN
ejpam-6192	259	26	that	that	SCONJ
ejpam-6192	259	27	∑	∑	PROPN
ejpam-6192	259	28	i	i	PRON
ejpam-6192	259	29	cig	cig	PROPN
ejpam-6192	259	30	(	(	PUNCT
ejpam-6192	259	31	eq	eq	NOUN
ejpam-6192	259	32	)	)	PUNCT
ejpam-6192	259	33	i	i	NOUN
ejpam-6192	259	34	=	=	NOUN
ejpam-6192	259	35	0	0	NUM
ejpam-6192	260	1	due	due	ADP
ejpam-6192	260	2	to	to	ADP
ejpam-6192	260	3	symmetry	symmetry	NOUN
ejpam-6192	260	4	.	.	PUNCT
ejpam-6192	261	1	the	the	DET
ejpam-6192	261	2	perpendicular	perpendicular	ADJ
ejpam-6192	261	3	gradient	gradient	NOUN
ejpam-6192	261	4	∇⊥i	∇⊥i	NOUN
ejpam-6192	261	5	is	be	AUX
ejpam-6192	261	6	then	then	ADV
ejpam-6192	261	7	given	give	VERB
ejpam-6192	261	8	by	by	ADP
ejpam-6192	261	9	:	:	PUNCT
ejpam-6192	261	10	∇⊥i	∇⊥i	NOUN
ejpam-6192	261	11	=	=	NOUN
ejpam-6192	261	12	−	−	PROPN
ejpam-6192	261	13	1	1	NUM
ejpam-6192	261	14	τg∆tc2s	τg∆tc2	NOUN
ejpam-6192	261	15	m−1∑	m−1∑	PRON
ejpam-6192	261	16	i=0	i=0	PROPN
ejpam-6192	261	17	c⊥i	c⊥i	PROPN
ejpam-6192	261	18	gi(x	gi(x	PROPN
ejpam-6192	261	19	)	)	PUNCT
ejpam-6192	261	20	,	,	PUNCT
ejpam-6192	261	21	x	x	PUNCT
ejpam-6192	261	22	∈	∈	PROPN
ejpam-6192	261	23	ω	ω	PROPN
ejpam-6192	261	24	,	,	PUNCT
ejpam-6192	261	25	(	(	PUNCT
ejpam-6192	261	26	57	57	NUM
ejpam-6192	261	27	)	)	PUNCT
ejpam-6192	261	28	where	where	SCONJ
ejpam-6192	261	29	c⊥i	c⊥i	PROPN
ejpam-6192	261	30	denotes	denote	VERB
ejpam-6192	261	31	the	the	DET
ejpam-6192	261	32	velocity	velocity	NOUN
ejpam-6192	261	33	vector	vector	NOUN
ejpam-6192	261	34	perpendicular	perpendicular	NOUN
ejpam-6192	261	35	to	to	ADP
ejpam-6192	261	36	ci	ci	PROPN
ejpam-6192	261	37	.	.	PROPN
ejpam-6192	261	38	4.4	4.4	NUM
ejpam-6192	261	39	.	.	PUNCT
ejpam-6192	262	1	curved	curve	VERB
ejpam-6192	262	2	boundary	boundary	ADJ
ejpam-6192	262	3	conditions	condition	NOUN
ejpam-6192	262	4	in	in	ADP
ejpam-6192	262	5	partial	partial	ADJ
ejpam-6192	262	6	differential	differential	NOUN
ejpam-6192	262	7	equation	equation	NOUN
ejpam-6192	262	8	(	(	PUNCT
ejpam-6192	262	9	pde)-based	pde)-base	VERB
ejpam-6192	262	10	image	image	NOUN
ejpam-6192	262	11	inpainting	inpainting	NOUN
ejpam-6192	262	12	,	,	PUNCT
ejpam-6192	262	13	boundary	boundary	ADJ
ejpam-6192	262	14	conditions	condition	NOUN
ejpam-6192	262	15	play	play	VERB
ejpam-6192	262	16	a	a	DET
ejpam-6192	262	17	pivotal	pivotal	ADJ
ejpam-6192	262	18	role	role	NOUN
ejpam-6192	262	19	in	in	ADP
ejpam-6192	262	20	governing	govern	VERB
ejpam-6192	262	21	how	how	SCONJ
ejpam-6192	262	22	information	information	NOUN
ejpam-6192	262	23	propagates	propagate	VERB
ejpam-6192	262	24	into	into	ADP
ejpam-6192	262	25	the	the	DET
ejpam-6192	262	26	inpainting	inpainting	ADJ
ejpam-6192	262	27	domain	domain	NOUN
ejpam-6192	262	28	.	.	PUNCT
ejpam-6192	263	1	in	in	ADP
ejpam-6192	263	2	this	this	DET
ejpam-6192	263	3	work	work	NOUN
ejpam-6192	263	4	,	,	PUNCT
ejpam-6192	263	5	the	the	DET
ejpam-6192	263	6	region	region	NOUN
ejpam-6192	263	7	to	to	PART
ejpam-6192	263	8	be	be	AUX
ejpam-6192	263	9	inpainted	inpainte	VERB
ejpam-6192	263	10	,	,	PUNCT
ejpam-6192	263	11	denoted	denote	VERB
ejpam-6192	263	12	ω	ω	PROPN
ejpam-6192	263	13	,	,	PUNCT
ejpam-6192	263	14	is	be	AUX
ejpam-6192	263	15	manually	manually	ADV
ejpam-6192	263	16	selected	select	VERB
ejpam-6192	263	17	and	and	CCONJ
ejpam-6192	263	18	often	often	ADV
ejpam-6192	263	19	features	feature	VERB
ejpam-6192	263	20	a	a	DET
ejpam-6192	263	21	nontrivial	nontrivial	NOUN
ejpam-6192	263	22	,	,	PUNCT
ejpam-6192	263	23	curved	curved	ADJ
ejpam-6192	263	24	boundary	boundary	ADJ
ejpam-6192	263	25	∂ω	∂ω	PROPN
ejpam-6192	263	26	that	that	PRON
ejpam-6192	263	27	conforms	conform	VERB
ejpam-6192	263	28	closely	closely	ADV
ejpam-6192	263	29	to	to	ADP
ejpam-6192	263	30	the	the	DET
ejpam-6192	263	31	underlying	underlie	VERB
ejpam-6192	263	32	image	image	NOUN
ejpam-6192	263	33	structures	structure	NOUN
ejpam-6192	263	34	.	.	PUNCT
ejpam-6192	264	1	to	to	PART
ejpam-6192	264	2	ensure	ensure	VERB
ejpam-6192	264	3	a	a	DET
ejpam-6192	264	4	coherent	coherent	ADJ
ejpam-6192	264	5	and	and	CCONJ
ejpam-6192	264	6	stable	stable	ADJ
ejpam-6192	264	7	reconstruction	reconstruction	NOUN
ejpam-6192	264	8	,	,	PUNCT
ejpam-6192	264	9	two	two	NUM
ejpam-6192	264	10	boundary	boundary	ADJ
ejpam-6192	264	11	conditions	condition	NOUN
ejpam-6192	264	12	are	be	AUX
ejpam-6192	264	13	imposed	impose	VERB
ejpam-6192	264	14	.	.	PUNCT
ejpam-6192	265	1	first	first	ADV
ejpam-6192	265	2	,	,	PUNCT
ejpam-6192	265	3	a	a	DET
ejpam-6192	265	4	velocity	velocity	NOUN
ejpam-6192	265	5	field	field	NOUN
ejpam-6192	265	6	is	be	AUX
ejpam-6192	265	7	prescribed	prescribe	VERB
ejpam-6192	265	8	on	on	ADP
ejpam-6192	265	9	the	the	DET
ejpam-6192	265	10	boundary	boundary	NOUN
ejpam-6192	265	11	by	by	ADP
ejpam-6192	265	12	enforcing	enforce	VERB
ejpam-6192	265	13	u⃗	u⃗	PROPN
ejpam-6192	265	14	=	=	SYM
ejpam-6192	265	15	∇⊥i|∂ω	∇⊥i|∂ω	NOUN
ejpam-6192	265	16	,	,	PUNCT
ejpam-6192	265	17	which	which	PRON
ejpam-6192	265	18	serves	serve	VERB
ejpam-6192	265	19	as	as	ADP
ejpam-6192	265	20	a	a	DET
ejpam-6192	265	21	guiding	guide	VERB
ejpam-6192	265	22	advection	advection	NOUN
ejpam-6192	265	23	flow	flow	NOUN
ejpam-6192	265	24	along	along	ADP
ejpam-6192	265	25	∂ω	∂ω	PROPN
ejpam-6192	265	26	.	.	PUNCT
ejpam-6192	266	1	this	this	DET
ejpam-6192	266	2	condition	condition	NOUN
ejpam-6192	266	3	regulates	regulate	VERB
ejpam-6192	266	4	the	the	DET
ejpam-6192	266	5	directional	directional	ADJ
ejpam-6192	266	6	transport	transport	NOUN
ejpam-6192	266	7	of	of	ADP
ejpam-6192	266	8	isophote	isophote	ADJ
ejpam-6192	266	9	information	information	NOUN
ejpam-6192	266	10	into	into	ADP
ejpam-6192	266	11	the	the	DET
ejpam-6192	266	12	missing	miss	VERB
ejpam-6192	266	13	region	region	NOUN
ejpam-6192	266	14	.	.	PUNCT
ejpam-6192	267	1	second	second	ADJ
ejpam-6192	267	2	,	,	PUNCT
ejpam-6192	267	3	a	a	DET
ejpam-6192	267	4	dirichlet	dirichlet	PROPN
ejpam-6192	267	5	condition	condition	NOUN
ejpam-6192	267	6	i|∂ω	i|∂ω	PROPN
ejpam-6192	267	7	=	=	PRON
ejpam-6192	267	8	i0	i0	PROPN
ejpam-6192	267	9	is	be	AUX
ejpam-6192	267	10	applied	apply	VERB
ejpam-6192	267	11	to	to	ADP
ejpam-6192	267	12	the	the	DET
ejpam-6192	267	13	nonlinear	nonlinear	ADJ
ejpam-6192	267	14	heat	heat	NOUN
ejpam-6192	267	15	equation	equation	NOUN
ejpam-6192	267	16	,	,	PUNCT
ejpam-6192	267	17	thereby	thereby	ADV
ejpam-6192	267	18	anchoring	anchor	VERB
ejpam-6192	267	19	the	the	DET
ejpam-6192	267	20	intensity	intensity	NOUN
ejpam-6192	267	21	values	value	NOUN
ejpam-6192	267	22	on	on	ADP
ejpam-6192	267	23	the	the	DET
ejpam-6192	267	24	boundary	boundary	NOUN
ejpam-6192	267	25	to	to	ADP
ejpam-6192	267	26	those	those	PRON
ejpam-6192	267	27	of	of	ADP
ejpam-6192	267	28	the	the	DET
ejpam-6192	267	29	known	know	VERB
ejpam-6192	267	30	image	image	NOUN
ejpam-6192	267	31	.	.	PUNCT
ejpam-6192	268	1	together	together	ADV
ejpam-6192	268	2	,	,	PUNCT
ejpam-6192	268	3	these	these	DET
ejpam-6192	268	4	boundary	boundary	ADJ
ejpam-6192	268	5	constraints	constraint	NOUN
ejpam-6192	268	6	ensure	ensure	VERB
ejpam-6192	268	7	that	that	SCONJ
ejpam-6192	268	8	the	the	DET
ejpam-6192	268	9	inpainting	inpainting	ADJ
ejpam-6192	268	10	process	process	NOUN
ejpam-6192	268	11	yields	yield	VERB
ejpam-6192	268	12	a	a	DET
ejpam-6192	268	13	smooth	smooth	ADJ
ejpam-6192	268	14	and	and	CCONJ
ejpam-6192	268	15	seamless	seamless	ADJ
ejpam-6192	268	16	transition	transition	NOUN
ejpam-6192	268	17	between	between	ADP
ejpam-6192	268	18	the	the	DET
ejpam-6192	268	19	reconstructed	reconstructed	ADJ
ejpam-6192	268	20	and	and	CCONJ
ejpam-6192	268	21	known	known	ADJ
ejpam-6192	268	22	regions	region	NOUN
ejpam-6192	268	23	,	,	PUNCT
ejpam-6192	268	24	preserving	preserve	VERB
ejpam-6192	268	25	the	the	DET
ejpam-6192	268	26	structural	structural	ADJ
ejpam-6192	268	27	and	and	CCONJ
ejpam-6192	268	28	tonal	tonal	ADJ
ejpam-6192	268	29	coherence	coherence	NOUN
ejpam-6192	268	30	of	of	ADP
ejpam-6192	268	31	the	the	DET
ejpam-6192	268	32	original	original	ADJ
ejpam-6192	268	33	image	image	NOUN
ejpam-6192	268	34	.	.	PUNCT
ejpam-6192	269	1	4.5	4.5	NUM
ejpam-6192	269	2	.	.	PUNCT
ejpam-6192	270	1	non	non	ADJ
ejpam-6192	270	2	-	-	ADJ
ejpam-6192	270	3	equilibrium	equilibrium	ADJ
ejpam-6192	270	4	extrapolation	extrapolation	NOUN
ejpam-6192	270	5	method	method	NOUN
ejpam-6192	270	6	for	for	ADP
ejpam-6192	270	7	curved	curved	ADJ
ejpam-6192	270	8	boundaries	boundary	NOUN
ejpam-6192	270	9	curved	curve	VERB
ejpam-6192	270	10	boundary	boundary	ADJ
ejpam-6192	270	11	conditions	condition	NOUN
ejpam-6192	270	12	are	be	AUX
ejpam-6192	270	13	treated	treat	VERB
ejpam-6192	270	14	using	use	VERB
ejpam-6192	270	15	the	the	DET
ejpam-6192	270	16	non	non	ADJ
ejpam-6192	270	17	-	-	ADJ
ejpam-6192	270	18	equilibrium	equilibrium	ADJ
ejpam-6192	270	19	extrapolation	extrapolation	NOUN
ejpam-6192	270	20	technique	technique	NOUN
ejpam-6192	270	21	.	.	PUNCT
ejpam-6192	271	1	in	in	ADP
ejpam-6192	271	2	this	this	DET
ejpam-6192	271	3	approach	approach	NOUN
ejpam-6192	271	4	,	,	PUNCT
ejpam-6192	271	5	the	the	DET
ejpam-6192	271	6	distribution	distribution	NOUN
ejpam-6192	271	7	functions	function	NOUN
ejpam-6192	271	8	at	at	ADP
ejpam-6192	271	9	boundary	boundary	ADJ
ejpam-6192	271	10	nodes	node	NOUN
ejpam-6192	271	11	xb	xb	X
ejpam-6192	271	12	are	be	AUX
ejpam-6192	271	13	decomposed	decompose	VERB
ejpam-6192	271	14	into	into	ADP
ejpam-6192	271	15	equilibrium	equilibrium	NOUN
ejpam-6192	271	16	and	and	CCONJ
ejpam-6192	271	17	non	non	ADJ
ejpam-6192	271	18	-	-	ADJ
ejpam-6192	271	19	equilibrium	equilibrium	ADJ
ejpam-6192	271	20	components	component	NOUN
ejpam-6192	271	21	:	:	PUNCT
ejpam-6192	271	22	fī(xb	fī(xb	PROPN
ejpam-6192	271	23	,	,	PUNCT
ejpam-6192	271	24	t	t	PROPN
ejpam-6192	271	25	)	)	PUNCT
ejpam-6192	272	1	=	=	SYM
ejpam-6192	272	2	f	f	X
ejpam-6192	272	3	(	(	PUNCT
ejpam-6192	272	4	eq	eq	NOUN
ejpam-6192	272	5	)	)	PUNCT
ejpam-6192	272	6	ī	ī	NOUN
ejpam-6192	272	7	(	(	PUNCT
ejpam-6192	272	8	xb	xb	PROPN
ejpam-6192	272	9	,	,	PUNCT
ejpam-6192	272	10	t	t	PROPN
ejpam-6192	272	11	)	)	PUNCT
ejpam-6192	273	1	+	+	NUM
ejpam-6192	273	2	f	f	X
ejpam-6192	273	3	(	(	PUNCT
ejpam-6192	273	4	neq	neq	PROPN
ejpam-6192	273	5	)	)	PUNCT
ejpam-6192	273	6	ī	ī	PROPN
ejpam-6192	273	7	(	(	PUNCT
ejpam-6192	273	8	xb	xb	PROPN
ejpam-6192	273	9	,	,	PUNCT
ejpam-6192	273	10	t	t	PROPN
ejpam-6192	273	11	)	)	PUNCT
ejpam-6192	273	12	,	,	PUNCT
ejpam-6192	273	13	(	(	PUNCT
ejpam-6192	273	14	58	58	X
ejpam-6192	273	15	)	)	PUNCT
ejpam-6192	273	16	where	where	SCONJ
ejpam-6192	273	17	the	the	DET
ejpam-6192	273	18	equilibrium	equilibrium	NOUN
ejpam-6192	273	19	part	part	NOUN
ejpam-6192	273	20	f	f	PROPN
ejpam-6192	273	21	(	(	PUNCT
ejpam-6192	273	22	eq	eq	NOUN
ejpam-6192	273	23	)	)	PUNCT
ejpam-6192	273	24	ī	ī	NOUN
ejpam-6192	273	25	(	(	PUNCT
ejpam-6192	273	26	xb	xb	PROPN
ejpam-6192	273	27	,	,	PUNCT
ejpam-6192	273	28	t	t	PROPN
ejpam-6192	273	29	)	)	PUNCT
ejpam-6192	273	30	is	be	AUX
ejpam-6192	273	31	approximated	approximate	VERB
ejpam-6192	273	32	by	by	ADP
ejpam-6192	273	33	:	:	PUNCT
ejpam-6192	273	34	f	f	PROPN
ejpam-6192	273	35	(	(	PUNCT
ejpam-6192	273	36	eq	eq	NOUN
ejpam-6192	273	37	)	)	PUNCT
ejpam-6192	273	38	ī	ī	NOUN
ejpam-6192	273	39	(	(	PUNCT
ejpam-6192	273	40	xb	xb	PROPN
ejpam-6192	273	41	,	,	PUNCT
ejpam-6192	273	42	t	t	PROPN
ejpam-6192	273	43	)	)	PUNCT
ejpam-6192	273	44	≈	≈	PROPN
ejpam-6192	273	45	f∗	f∗	NOUN
ejpam-6192	273	46	ī	ī	PROPN
ejpam-6192	273	47	(	(	PUNCT
ejpam-6192	273	48	xb	xb	PROPN
ejpam-6192	273	49	,	,	PUNCT
ejpam-6192	273	50	t	t	PROPN
ejpam-6192	273	51	)	)	PUNCT
ejpam-6192	273	52	≡	≡	PROPN
ejpam-6192	273	53	δī	δī	DET
ejpam-6192	273	54	ω(xb	ω(xb	NOUN
ejpam-6192	273	55	)	)	PUNCT
ejpam-6192	273	56	(	(	PUNCT
ejpam-6192	273	57	1	1	NUM
ejpam-6192	273	58	+	+	CCONJ
ejpam-6192	273	59	c⃗ī	c⃗ī	PROPN
ejpam-6192	273	60	·	·	PUNCT
ejpam-6192	273	61	u⃗(xb	u⃗(xb	PROPN
ejpam-6192	273	62	)	)	PUNCT
ejpam-6192	273	63	c2s	c2s	PROPN
ejpam-6192	273	64	)	)	PUNCT
ejpam-6192	273	65	,	,	PUNCT
ejpam-6192	273	66	i	i	PRON
ejpam-6192	273	67	=	=	NOUN
ejpam-6192	273	68	0	0	NUM
ejpam-6192	273	69	,	,	PUNCT
ejpam-6192	273	70	.	.	PUNCT
ejpam-6192	273	71	.	.	PUNCT
ejpam-6192	273	72	.	.	PUNCT
ejpam-6192	274	1	,	,	PUNCT
ejpam-6192	274	2	m−	m−	PROPN
ejpam-6192	274	3	1	1	NUM
ejpam-6192	274	4	,	,	PUNCT
ejpam-6192	274	5	(	(	PUNCT
ejpam-6192	274	6	59	59	NUM
ejpam-6192	274	7	)	)	PUNCT
ejpam-6192	274	8	y.	y.	PROPN
ejpam-6192	274	9	douich	douich	PROPN
ejpam-6192	274	10	et	et	PROPN
ejpam-6192	274	11	al	al	PROPN
ejpam-6192	274	12	.	.	PUNCT
ejpam-6192	274	13	/	/	SYM
ejpam-6192	274	14	eur	eur	PROPN
ejpam-6192	274	15	.	.	PUNCT
ejpam-6192	275	1	j.	j.	PROPN
ejpam-6192	275	2	pure	pure	PROPN
ejpam-6192	275	3	appl	appl	PROPN
ejpam-6192	275	4	.	.	PROPN
ejpam-6192	275	5	math	math	PROPN
ejpam-6192	275	6	,	,	PUNCT
ejpam-6192	275	7	18	18	NUM
ejpam-6192	275	8	(	(	PUNCT
ejpam-6192	275	9	3	3	NUM
ejpam-6192	275	10	)	)	PUNCT
ejpam-6192	275	11	(	(	PUNCT
ejpam-6192	275	12	2025	2025	NUM
ejpam-6192	275	13	)	)	PUNCT
ejpam-6192	275	14	,	,	PUNCT
ejpam-6192	275	15	6192	6192	NUM
ejpam-6192	275	16	13	13	NUM
ejpam-6192	275	17	of	of	ADP
ejpam-6192	275	18	32	32	NUM
ejpam-6192	275	19	figure	figure	NOUN
ejpam-6192	275	20	2	2	NUM
ejpam-6192	275	21	:	:	PUNCT
ejpam-6192	275	22	schematic	schematic	ADJ
ejpam-6192	275	23	diagram	diagram	NOUN
ejpam-6192	275	24	of	of	ADP
ejpam-6192	275	25	the	the	DET
ejpam-6192	275	26	node	node	ADJ
ejpam-6192	275	27	structure	structure	NOUN
ejpam-6192	275	28	used	use	VERB
ejpam-6192	275	29	in	in	ADP
ejpam-6192	275	30	the	the	DET
ejpam-6192	275	31	lattice	lattice	NOUN
ejpam-6192	275	32	boltzmann	boltzmann	PROPN
ejpam-6192	275	33	framework	framework	PROPN
ejpam-6192	275	34	.	.	PUNCT
ejpam-6192	276	1	the	the	DET
ejpam-6192	276	2	domain	domain	NOUN
ejpam-6192	276	3	includes	include	VERB
ejpam-6192	276	4	fluid	fluid	ADJ
ejpam-6192	276	5	nodes	node	NOUN
ejpam-6192	276	6	(	(	PUNCT
ejpam-6192	276	7	xf	xf	PROPN
ejpam-6192	276	8	,	,	PUNCT
ejpam-6192	276	9	xff	xff	PROPN
ejpam-6192	276	10	)	)	PUNCT
ejpam-6192	276	11	,	,	PUNCT
ejpam-6192	276	12	solid	solid	ADJ
ejpam-6192	276	13	nodes	node	NOUN
ejpam-6192	276	14	(	(	PUNCT
ejpam-6192	276	15	xs	xs	PROPN
ejpam-6192	276	16	)	)	PUNCT
ejpam-6192	276	17	,	,	PUNCT
ejpam-6192	276	18	boundary	boundary	ADJ
ejpam-6192	276	19	nodes	node	NOUN
ejpam-6192	276	20	(	(	PUNCT
ejpam-6192	276	21	xb	xb	PROPN
ejpam-6192	276	22	)	)	PUNCT
ejpam-6192	276	23	,	,	PUNCT
ejpam-6192	276	24	and	and	CCONJ
ejpam-6192	276	25	wall	wall	PROPN
ejpam-6192	276	26	boundary	boundary	PROPN
ejpam-6192	276	27	nodes	node	NOUN
ejpam-6192	276	28	(	(	PUNCT
ejpam-6192	276	29	xw	xw	PROPN
ejpam-6192	276	30	)	)	PUNCT
ejpam-6192	276	31	.	.	PUNCT
ejpam-6192	277	1	the	the	DET
ejpam-6192	277	2	lattice	lattice	NOUN
ejpam-6192	277	3	spacing	spacing	NOUN
ejpam-6192	277	4	is	be	AUX
ejpam-6192	277	5	denoted	denote	VERB
ejpam-6192	277	6	by	by	ADP
ejpam-6192	277	7	∆x	∆x	PROPN
ejpam-6192	277	8	,	,	PUNCT
ejpam-6192	277	9	and	and	CCONJ
ejpam-6192	277	10	c⃗i	c⃗i	PROPN
ejpam-6192	277	11	represents	represent	VERB
ejpam-6192	277	12	the	the	DET
ejpam-6192	277	13	discrete	discrete	ADJ
ejpam-6192	277	14	velocity	velocity	NOUN
ejpam-6192	277	15	in	in	ADP
ejpam-6192	277	16	the	the	DET
ejpam-6192	277	17	i	i	PROPN
ejpam-6192	277	18	-	-	PUNCT
ejpam-6192	277	19	th	th	X
ejpam-6192	277	20	direction	direction	NOUN
ejpam-6192	277	21	,	,	PUNCT
ejpam-6192	277	22	with	with	ADP
ejpam-6192	277	23	c⃗ī	c⃗ī	PROPN
ejpam-6192	277	24	as	as	ADP
ejpam-6192	277	25	its	its	PRON
ejpam-6192	277	26	opposite	opposite	ADJ
ejpam-6192	277	27	counterpart	counterpart	NOUN
ejpam-6192	277	28	.	.	PUNCT
ejpam-6192	278	1	where	where	SCONJ
ejpam-6192	278	2	ω(xb	ω(xb	NOUN
ejpam-6192	278	3	)	)	PUNCT
ejpam-6192	278	4	and	and	CCONJ
ejpam-6192	278	5	u⃗(xb	u⃗(xb	PROPN
ejpam-6192	278	6	)	)	PUNCT
ejpam-6192	278	7	denote	denote	VERB
ejpam-6192	278	8	the	the	DET
ejpam-6192	278	9	vorticity	vorticity	NOUN
ejpam-6192	278	10	function	function	NOUN
ejpam-6192	278	11	and	and	CCONJ
ejpam-6192	278	12	velocity	velocity	NOUN
ejpam-6192	278	13	vector	vector	NOUN
ejpam-6192	278	14	at	at	ADP
ejpam-6192	278	15	node	node	PROPN
ejpam-6192	278	16	xb	xb	PROPN
ejpam-6192	278	17	,	,	PUNCT
ejpam-6192	278	18	respectively	respectively	ADV
ejpam-6192	278	19	.	.	PUNCT
ejpam-6192	279	1	since	since	SCONJ
ejpam-6192	279	2	these	these	DET
ejpam-6192	279	3	quantities	quantity	NOUN
ejpam-6192	279	4	are	be	AUX
ejpam-6192	279	5	generally	generally	ADV
ejpam-6192	279	6	not	not	PART
ejpam-6192	279	7	known	know	VERB
ejpam-6192	279	8	a	a	PRON
ejpam-6192	279	9	priori	priori	ADV
ejpam-6192	279	10	,	,	PUNCT
ejpam-6192	279	11	guo	guo	PROPN
ejpam-6192	279	12	et	et	PROPN
ejpam-6192	279	13	al	al	PROPN
ejpam-6192	279	14	.	.	PUNCT
ejpam-6192	280	1	[	[	X
ejpam-6192	280	2	41	41	NUM
ejpam-6192	280	3	]	]	PUNCT
ejpam-6192	280	4	proposed	propose	VERB
ejpam-6192	280	5	the	the	DET
ejpam-6192	280	6	following	follow	VERB
ejpam-6192	280	7	extrapolation	extrapolation	NOUN
ejpam-6192	280	8	scheme	scheme	NOUN
ejpam-6192	280	9	:	:	PUNCT
ejpam-6192	280	10	f	f	PROPN
ejpam-6192	280	11	(	(	PUNCT
ejpam-6192	280	12	neq	neq	PROPN
ejpam-6192	280	13	)	)	PUNCT
ejpam-6192	280	14	ī	ī	PROPN
ejpam-6192	280	15	(	(	PUNCT
ejpam-6192	280	16	xb	xb	PROPN
ejpam-6192	280	17	,	,	PUNCT
ejpam-6192	280	18	t	t	PROPN
ejpam-6192	280	19	)	)	PUNCT
ejpam-6192	280	20	=	=	SYM
ejpam-6192	281	1			PROPN
ejpam-6192	281	2	fī(xf	fī(xf	ADV
ejpam-6192	281	3	,	,	PUNCT
ejpam-6192	281	4	t)−	t)−	PROPN
ejpam-6192	281	5	f	f	X
ejpam-6192	281	6	(	(	PUNCT
ejpam-6192	281	7	eq	eq	NOUN
ejpam-6192	281	8	)	)	PUNCT
ejpam-6192	281	9	ī	ī	NOUN
ejpam-6192	281	10	(	(	PUNCT
ejpam-6192	281	11	xf	xf	PROPN
ejpam-6192	281	12	,	,	PUNCT
ejpam-6192	281	13	t	t	PROPN
ejpam-6192	281	14	)	)	PUNCT
ejpam-6192	281	15	,	,	PUNCT
ejpam-6192	281	16	q	q	X
ejpam-6192	281	17	≥	≥	NOUN
ejpam-6192	281	18	3	3	NUM
ejpam-6192	281	19	4	4	NUM
ejpam-6192	281	20	,	,	PUNCT
ejpam-6192	281	21	q	q	X
ejpam-6192	281	22	(	(	PUNCT
ejpam-6192	281	23	fī(xf	fī(xf	INTJ
ejpam-6192	281	24	,	,	PUNCT
ejpam-6192	281	25	t)−	t)−	PROPN
ejpam-6192	281	26	f	f	X
ejpam-6192	281	27	(	(	PUNCT
ejpam-6192	281	28	eq	eq	NOUN
ejpam-6192	281	29	)	)	PUNCT
ejpam-6192	281	30	ī	ī	NOUN
ejpam-6192	281	31	(	(	PUNCT
ejpam-6192	281	32	xf	xf	PROPN
ejpam-6192	281	33	,	,	PUNCT
ejpam-6192	281	34	t	t	PROPN
ejpam-6192	281	35	)	)	PUNCT
ejpam-6192	281	36	)	)	PUNCT
ejpam-6192	282	1	+	+	CCONJ
ejpam-6192	282	2	(	(	PUNCT
ejpam-6192	282	3	1−	1−	NUM
ejpam-6192	282	4	q	q	NOUN
ejpam-6192	282	5	)	)	PUNCT
ejpam-6192	282	6	(	(	PUNCT
ejpam-6192	282	7	fī(xff	fī(xff	PROPN
ejpam-6192	282	8	,	,	PUNCT
ejpam-6192	282	9	t)−	t)−	PROPN
ejpam-6192	282	10	f	f	X
ejpam-6192	282	11	(	(	PUNCT
ejpam-6192	282	12	eq	eq	NOUN
ejpam-6192	282	13	)	)	PUNCT
ejpam-6192	282	14	ī	ī	NOUN
ejpam-6192	282	15	(	(	PUNCT
ejpam-6192	282	16	xff	xff	PROPN
ejpam-6192	282	17	,	,	PUNCT
ejpam-6192	282	18	t	t	PROPN
ejpam-6192	282	19	)	)	PUNCT
ejpam-6192	282	20	)	)	PUNCT
ejpam-6192	282	21	,	,	PUNCT
ejpam-6192	282	22	q	q	X
ejpam-6192	282	23	<	<	X
ejpam-6192	282	24	3	3	NUM
ejpam-6192	282	25	4	4	NUM
ejpam-6192	282	26	,	,	PUNCT
ejpam-6192	282	27	(	(	PUNCT
ejpam-6192	282	28	60	60	NUM
ejpam-6192	282	29	)	)	PUNCT
ejpam-6192	282	30	where	where	SCONJ
ejpam-6192	282	31	q	q	NOUN
ejpam-6192	282	32	=	=	NOUN
ejpam-6192	282	33	|xf	|xf	X
ejpam-6192	282	34	−	−	PROPN
ejpam-6192	282	35	xw|	xw|	NOUN
ejpam-6192	282	36	|xf	|xf	X
ejpam-6192	282	37	−	−	PROPN
ejpam-6192	282	38	xb|	xb|	NOUN
ejpam-6192	282	39	=	=	PUNCT
ejpam-6192	282	40	|xf	|xf	X
ejpam-6192	282	41	−	−	PROPN
ejpam-6192	282	42	xw|	xw|	PROPN
ejpam-6192	282	43	∆x	∆x	PROPN
ejpam-6192	282	44	,	,	PUNCT
ejpam-6192	282	45	and	and	CCONJ
ejpam-6192	282	46	ω(xb	ω(xb	NOUN
ejpam-6192	282	47	)	)	PUNCT
ejpam-6192	282	48	=	=	SYM
ejpam-6192	282	49	ω(xf	ω(xf	NUM
ejpam-6192	282	50	)	)	PUNCT
ejpam-6192	282	51	.	.	PUNCT
ejpam-6192	283	1	the	the	DET
ejpam-6192	283	2	velocity	velocity	NOUN
ejpam-6192	283	3	u⃗(xb	u⃗(xb	PROPN
ejpam-6192	283	4	)	)	PUNCT
ejpam-6192	283	5	is	be	AUX
ejpam-6192	283	6	estimated	estimate	VERB
ejpam-6192	283	7	by	by	ADP
ejpam-6192	283	8	:	:	PUNCT
ejpam-6192	283	9	u⃗(xb	u⃗(xb	NOUN
ejpam-6192	283	10	)	)	PUNCT
ejpam-6192	283	11	=	=	PUNCT
ejpam-6192	284	1			NOUN
ejpam-6192	284	2	1	1	NUM
ejpam-6192	284	3	q	q	NOUN
ejpam-6192	284	4	u⃗(xw	u⃗(xw	PROPN
ejpam-6192	284	5	)	)	PUNCT
ejpam-6192	284	6	+	+	NOUN
ejpam-6192	284	7	q	q	NOUN
ejpam-6192	284	8	−	−	PROPN
ejpam-6192	284	9	1	1	NUM
ejpam-6192	284	10	q	q	NOUN
ejpam-6192	284	11	u⃗(xf	u⃗(xf	PROPN
ejpam-6192	284	12	)	)	PUNCT
ejpam-6192	284	13	,	,	PUNCT
ejpam-6192	284	14	q	q	X
ejpam-6192	284	15	≥	≥	NOUN
ejpam-6192	284	16	3	3	NUM
ejpam-6192	284	17	4	4	NUM
ejpam-6192	284	18	,	,	PUNCT
ejpam-6192	284	19	3−	3−	NUM
ejpam-6192	284	20	q	q	NOUN
ejpam-6192	284	21	q	q	NOUN
ejpam-6192	285	1	+	+	CCONJ
ejpam-6192	285	2	1	1	NUM
ejpam-6192	285	3	u⃗(xw	u⃗(xw	NOUN
ejpam-6192	285	4	)	)	PUNCT
ejpam-6192	285	5	+	+	CCONJ
ejpam-6192	285	6	(	(	PUNCT
ejpam-6192	285	7	q	q	PROPN
ejpam-6192	285	8	−	−	PROPN
ejpam-6192	285	9	1)u⃗(xf	1)u⃗(xf	NUM
ejpam-6192	285	10	)	)	PUNCT
ejpam-6192	285	11	+	+	CCONJ
ejpam-6192	285	12	(	(	PUNCT
ejpam-6192	285	13	1−	1−	NUM
ejpam-6192	285	14	q	q	NOUN
ejpam-6192	285	15	)	)	PUNCT
ejpam-6192	285	16	q	q	NOUN
ejpam-6192	286	1	−	−	PROPN
ejpam-6192	286	2	1	1	NUM
ejpam-6192	286	3	q	q	NOUN
ejpam-6192	286	4	+	+	NUM
ejpam-6192	286	5	1	1	NUM
ejpam-6192	286	6	u⃗(xff	u⃗(xff	PROPN
ejpam-6192	286	7	)	)	PUNCT
ejpam-6192	286	8	,	,	PUNCT
ejpam-6192	286	9	q	q	X
ejpam-6192	286	10	<	<	X
ejpam-6192	286	11	3	3	NUM
ejpam-6192	286	12	4	4	NUM
ejpam-6192	286	13	.	.	PUNCT
ejpam-6192	287	1	(	(	PUNCT
ejpam-6192	287	2	61	61	NUM
ejpam-6192	287	3	)	)	PUNCT
ejpam-6192	287	4	in	in	ADP
ejpam-6192	287	5	the	the	DET
ejpam-6192	287	6	fluid	fluid	ADJ
ejpam-6192	287	7	region	region	NOUN
ejpam-6192	287	8	ω	ω	PROPN
ejpam-6192	287	9	,	,	PUNCT
ejpam-6192	287	10	the	the	DET
ejpam-6192	287	11	velocity	velocity	NOUN
ejpam-6192	287	12	field	field	NOUN
ejpam-6192	287	13	u⃗	u⃗	PROPN
ejpam-6192	287	14	,	,	PUNCT
ejpam-6192	287	15	corresponding	correspond	VERB
ejpam-6192	287	16	to	to	ADP
ejpam-6192	287	17	the	the	DET
ejpam-6192	287	18	inpainted	inpainte	VERB
ejpam-6192	287	19	region	region	NOUN
ejpam-6192	287	20	,	,	PUNCT
ejpam-6192	287	21	is	be	AUX
ejpam-6192	287	22	computed	compute	VERB
ejpam-6192	287	23	from	from	ADP
ejpam-6192	287	24	the	the	DET
ejpam-6192	287	25	gradient	gradient	NOUN
ejpam-6192	287	26	of	of	ADP
ejpam-6192	287	27	the	the	DET
ejpam-6192	287	28	auxiliary	auxiliary	ADJ
ejpam-6192	287	29	function	function	NOUN
ejpam-6192	287	30	gi	gi	NOUN
ejpam-6192	287	31	as	as	SCONJ
ejpam-6192	287	32	follows	follow	VERB
ejpam-6192	287	33	:	:	PUNCT
ejpam-6192	287	34	u⃗(xf	u⃗(xf	NOUN
ejpam-6192	287	35	)	)	PUNCT
ejpam-6192	287	36	=	=	SYM
ejpam-6192	288	1	−	−	PROPN
ejpam-6192	288	2	1	1	NUM
ejpam-6192	288	3	τg∆tc2s	τg∆tc2	NOUN
ejpam-6192	288	4	m−1∑	m−1∑	NUM
ejpam-6192	288	5	i=0	i=0	PROPN
ejpam-6192	288	6	c⃗⊥i	c⃗⊥i	X
ejpam-6192	288	7	gi(xf	gi(xf	NOUN
ejpam-6192	288	8	)	)	PUNCT
ejpam-6192	288	9	,	,	PUNCT
ejpam-6192	288	10	(	(	PUNCT
ejpam-6192	288	11	62	62	X
ejpam-6192	288	12	)	)	PUNCT
ejpam-6192	288	13	u⃗(xff	u⃗(xff	PROPN
ejpam-6192	288	14	)	)	PUNCT
ejpam-6192	288	15	=	=	PUNCT
ejpam-6192	289	1	−	−	PROPN
ejpam-6192	289	2	1	1	NUM
ejpam-6192	289	3	τg∆tc2s	τg∆tc2	NOUN
ejpam-6192	289	4	m−1∑	m−1∑	PROPN
ejpam-6192	289	5	i=0	i=0	PROPN
ejpam-6192	289	6	c⃗⊥i	c⃗⊥i	NOUN
ejpam-6192	289	7	gi(xff	gi(xff	PROPN
ejpam-6192	289	8	)	)	PUNCT
ejpam-6192	289	9	.	.	PUNCT
ejpam-6192	290	1	(	(	PUNCT
ejpam-6192	290	2	63	63	NUM
ejpam-6192	290	3	)	)	PUNCT
ejpam-6192	290	4	at	at	ADP
ejpam-6192	290	5	the	the	DET
ejpam-6192	290	6	wall	wall	NOUN
ejpam-6192	290	7	boundary	boundary	PROPN
ejpam-6192	290	8	∂ω	∂ω	PROPN
ejpam-6192	290	9	,	,	PUNCT
ejpam-6192	290	10	the	the	DET
ejpam-6192	290	11	velocity	velocity	NOUN
ejpam-6192	290	12	u⃗(xw	u⃗(xw	PROPN
ejpam-6192	290	13	)	)	PUNCT
ejpam-6192	290	14	is	be	AUX
ejpam-6192	290	15	evaluated	evaluate	VERB
ejpam-6192	290	16	via	via	ADP
ejpam-6192	290	17	a	a	DET
ejpam-6192	290	18	discrete	discrete	ADJ
ejpam-6192	290	19	transverse	transverse	NOUN
ejpam-6192	290	20	gradient	gradient	NOUN
ejpam-6192	290	21	of	of	ADP
ejpam-6192	290	22	the	the	DET
ejpam-6192	290	23	initial	initial	ADJ
ejpam-6192	290	24	image	image	NOUN
ejpam-6192	290	25	i0	i0	PROPN
ejpam-6192	290	26	:	:	PUNCT
ejpam-6192	290	27	y.	y.	PROPN
ejpam-6192	290	28	douich	douich	PROPN
ejpam-6192	290	29	et	et	PROPN
ejpam-6192	290	30	al	al	PROPN
ejpam-6192	290	31	.	.	PUNCT
ejpam-6192	290	32	/	/	SYM
ejpam-6192	290	33	eur	eur	PROPN
ejpam-6192	290	34	.	.	PUNCT
ejpam-6192	291	1	j.	j.	PROPN
ejpam-6192	291	2	pure	pure	PROPN
ejpam-6192	291	3	appl	appl	PROPN
ejpam-6192	291	4	.	.	PROPN
ejpam-6192	291	5	math	math	PROPN
ejpam-6192	291	6	,	,	PUNCT
ejpam-6192	291	7	18	18	NUM
ejpam-6192	291	8	(	(	PUNCT
ejpam-6192	291	9	3	3	NUM
ejpam-6192	291	10	)	)	PUNCT
ejpam-6192	291	11	(	(	PUNCT
ejpam-6192	291	12	2025	2025	NUM
ejpam-6192	291	13	)	)	PUNCT
ejpam-6192	291	14	,	,	PUNCT
ejpam-6192	291	15	6192	6192	NUM
ejpam-6192	291	16	14	14	NUM
ejpam-6192	291	17	of	of	ADP
ejpam-6192	291	18	32	32	NUM
ejpam-6192	291	19	u⃗(xw	u⃗(xw	NOUN
ejpam-6192	291	20	)	)	PUNCT
ejpam-6192	291	21	=	=	NOUN
ejpam-6192	291	22	∇⊥i|∂ω	∇⊥i|∂ω	NOUN
ejpam-6192	291	23	=	=	PUNCT
ejpam-6192	291	24			NOUN
ejpam-6192	291	25	1	1	NUM
ejpam-6192	291	26	2∆x	2∆x	NUM
ejpam-6192	291	27	4∑	4∑	NOUN
ejpam-6192	291	28	i=0	i=0	PROPN
ejpam-6192	291	29	e⃗⊥i	e⃗⊥i	NOUN
ejpam-6192	291	30	i0(xw	i0(xw	PROPN
ejpam-6192	291	31	+	+	SYM
ejpam-6192	291	32	c⃗i∆t	c⃗i∆t	NUM
ejpam-6192	291	33	)	)	PUNCT
ejpam-6192	291	34	,	,	PUNCT
ejpam-6192	291	35	1	1	NUM
ejpam-6192	291	36	6∆x	6∆x	NUM
ejpam-6192	291	37	8∑	8∑	NUM
ejpam-6192	291	38	i=0	i=0	PROPN
ejpam-6192	291	39	e⃗⊥i	e⃗⊥i	X
ejpam-6192	291	40	i0(xw	i0(xw	PROPN
ejpam-6192	291	41	+	+	SYM
ejpam-6192	291	42	c⃗i∆t	c⃗i∆t	NUM
ejpam-6192	291	43	)	)	PUNCT
ejpam-6192	291	44	,	,	PUNCT
ejpam-6192	291	45	(	(	PUNCT
ejpam-6192	291	46	64	64	NUM
ejpam-6192	291	47	)	)	PUNCT
ejpam-6192	291	48	depending	depend	VERB
ejpam-6192	291	49	on	on	ADP
ejpam-6192	291	50	whether	whether	SCONJ
ejpam-6192	291	51	a	a	DET
ejpam-6192	291	52	d2q5	d2q5	NOUN
ejpam-6192	291	53	or	or	CCONJ
ejpam-6192	291	54	d2q9	d2q9	ADP
ejpam-6192	291	55	stencil	stencil	PROPN
ejpam-6192	291	56	is	be	AUX
ejpam-6192	291	57	used	use	VERB
ejpam-6192	291	58	.	.	PUNCT
ejpam-6192	292	1	using	use	VERB
ejpam-6192	292	2	the	the	DET
ejpam-6192	292	3	above	above	ADJ
ejpam-6192	292	4	approximations	approximation	NOUN
ejpam-6192	292	5	,	,	PUNCT
ejpam-6192	292	6	the	the	DET
ejpam-6192	292	7	post	post	ADJ
ejpam-6192	292	8	-	-	ADJ
ejpam-6192	292	9	collision	collision	ADJ
ejpam-6192	292	10	distribution	distribution	NOUN
ejpam-6192	292	11	function	function	NOUN
ejpam-6192	292	12	at	at	ADP
ejpam-6192	292	13	the	the	DET
ejpam-6192	292	14	boundary	boundary	ADJ
ejpam-6192	292	15	node	node	NOUN
ejpam-6192	292	16	xb	xb	PROPN
ejpam-6192	292	17	is	be	AUX
ejpam-6192	292	18	given	give	VERB
ejpam-6192	292	19	by	by	ADP
ejpam-6192	292	20	:	:	PUNCT
ejpam-6192	292	21	f	f	PROPN
ejpam-6192	292	22	′	′	NUM
ejpam-6192	292	23	ī	ī	PROPN
ejpam-6192	292	24	(	(	PUNCT
ejpam-6192	292	25	xb	xb	PROPN
ejpam-6192	292	26	,	,	PUNCT
ejpam-6192	292	27	t	t	PROPN
ejpam-6192	292	28	)	)	PUNCT
ejpam-6192	292	29	=	=	SYM
ejpam-6192	292	30	fī(xb	fī(xb	PROPN
ejpam-6192	292	31	,	,	PUNCT
ejpam-6192	292	32	t)−	t)−	PROPN
ejpam-6192	292	33	1	1	NUM
ejpam-6192	292	34	τ	τ	PROPN
ejpam-6192	292	35	f	f	PROPN
ejpam-6192	292	36	(	(	PUNCT
ejpam-6192	292	37	neq	neq	PROPN
ejpam-6192	292	38	)	)	PUNCT
ejpam-6192	292	39	ī	ī	PROPN
ejpam-6192	292	40	(	(	PUNCT
ejpam-6192	292	41	xb	xb	PROPN
ejpam-6192	292	42	,	,	PUNCT
ejpam-6192	292	43	t	t	PROPN
ejpam-6192	292	44	)	)	PUNCT
ejpam-6192	292	45	=	=	SYM
ejpam-6192	292	46	f∗	f∗	NOUN
ejpam-6192	292	47	ī	ī	NOUN
ejpam-6192	292	48	(	(	PUNCT
ejpam-6192	292	49	xb	xb	PROPN
ejpam-6192	292	50	,	,	PUNCT
ejpam-6192	292	51	t	t	PROPN
ejpam-6192	292	52	)	)	PUNCT
ejpam-6192	293	1	+	+	CCONJ
ejpam-6192	293	2	τ	τ	PROPN
ejpam-6192	293	3	−	−	NUM
ejpam-6192	293	4	1	1	NUM
ejpam-6192	293	5	τ	τ	PROPN
ejpam-6192	293	6	f	f	PROPN
ejpam-6192	293	7	(	(	PUNCT
ejpam-6192	293	8	neq	neq	PROPN
ejpam-6192	293	9	)	)	PUNCT
ejpam-6192	293	10	ī	ī	PROPN
ejpam-6192	293	11	(	(	PUNCT
ejpam-6192	293	12	xb	xb	PROPN
ejpam-6192	293	13	,	,	PUNCT
ejpam-6192	293	14	t	t	PROPN
ejpam-6192	293	15	)	)	PUNCT
ejpam-6192	293	16	.	.	PUNCT
ejpam-6192	294	1	(	(	PUNCT
ejpam-6192	294	2	65	65	NUM
ejpam-6192	294	3	)	)	PUNCT
ejpam-6192	294	4	for	for	ADP
ejpam-6192	294	5	scalar	scalar	ADJ
ejpam-6192	294	6	transport	transport	NOUN
ejpam-6192	294	7	with	with	ADP
ejpam-6192	294	8	dirichlet	dirichlet	PROPN
ejpam-6192	294	9	boundary	boundary	PROPN
ejpam-6192	294	10	conditions	condition	NOUN
ejpam-6192	294	11	,	,	PUNCT
ejpam-6192	294	12	the	the	DET
ejpam-6192	294	13	distribution	distribution	NOUN
ejpam-6192	294	14	function	function	NOUN
ejpam-6192	294	15	gī(xb	gī(xb	NOUN
ejpam-6192	294	16	,	,	PUNCT
ejpam-6192	294	17	t	t	PROPN
ejpam-6192	294	18	)	)	PUNCT
ejpam-6192	294	19	is	be	AUX
ejpam-6192	294	20	treated	treat	VERB
ejpam-6192	294	21	analogously	analogously	ADV
ejpam-6192	294	22	:	:	PUNCT
ejpam-6192	294	23	gī(xb	gī(xb	PROPN
ejpam-6192	294	24	,	,	PUNCT
ejpam-6192	294	25	t	t	PROPN
ejpam-6192	294	26	)	)	PUNCT
ejpam-6192	295	1	=	=	SYM
ejpam-6192	295	2	g	g	PROPN
ejpam-6192	295	3	(	(	PUNCT
ejpam-6192	295	4	eq	eq	NOUN
ejpam-6192	295	5	)	)	PUNCT
ejpam-6192	295	6	ī	ī	NOUN
ejpam-6192	295	7	(	(	PUNCT
ejpam-6192	295	8	xb	xb	PROPN
ejpam-6192	295	9	,	,	PUNCT
ejpam-6192	295	10	t	t	PROPN
ejpam-6192	295	11	)	)	PUNCT
ejpam-6192	296	1	+	+	CCONJ
ejpam-6192	296	2	g	g	PROPN
ejpam-6192	296	3	(	(	PUNCT
ejpam-6192	296	4	neq	neq	PROPN
ejpam-6192	296	5	)	)	PUNCT
ejpam-6192	296	6	ī	ī	PROPN
ejpam-6192	296	7	(	(	PUNCT
ejpam-6192	296	8	xb	xb	PROPN
ejpam-6192	296	9	,	,	PUNCT
ejpam-6192	296	10	t	t	PROPN
ejpam-6192	296	11	)	)	PUNCT
ejpam-6192	296	12	,	,	PUNCT
ejpam-6192	296	13	(	(	PUNCT
ejpam-6192	296	14	66	66	NUM
ejpam-6192	296	15	)	)	PUNCT
ejpam-6192	296	16	where	where	SCONJ
ejpam-6192	296	17	the	the	DET
ejpam-6192	296	18	equilibrium	equilibrium	NOUN
ejpam-6192	296	19	part	part	NOUN
ejpam-6192	296	20	is	be	AUX
ejpam-6192	296	21	approximated	approximate	VERB
ejpam-6192	296	22	by	by	ADP
ejpam-6192	296	23	:	:	PUNCT
ejpam-6192	296	24	g	g	PROPN
ejpam-6192	296	25	(	(	PUNCT
ejpam-6192	296	26	eq	eq	NOUN
ejpam-6192	296	27	)	)	PUNCT
ejpam-6192	296	28	ī	ī	NOUN
ejpam-6192	296	29	(	(	PUNCT
ejpam-6192	296	30	xb	xb	PROPN
ejpam-6192	296	31	,	,	PUNCT
ejpam-6192	296	32	t	t	PROPN
ejpam-6192	296	33	)	)	PUNCT
ejpam-6192	297	1	≈	≈	PROPN
ejpam-6192	297	2	g∗ī	g∗ī	X
ejpam-6192	297	3	(	(	PUNCT
ejpam-6192	297	4	xb	xb	PROPN
ejpam-6192	297	5	,	,	PUNCT
ejpam-6192	297	6	t	t	PROPN
ejpam-6192	297	7	)	)	PUNCT
ejpam-6192	297	8	≡	≡	PROPN
ejpam-6192	297	9	ϖii(xf	ϖii(xf	NUM
ejpam-6192	297	10	)	)	PUNCT
ejpam-6192	297	11	,	,	PUNCT
ejpam-6192	297	12	i	i	PRON
ejpam-6192	297	13	=	=	NOUN
ejpam-6192	297	14	0	0	NUM
ejpam-6192	297	15	,	,	PUNCT
ejpam-6192	297	16	.	.	PUNCT
ejpam-6192	297	17	.	.	PUNCT
ejpam-6192	297	18	.	.	PUNCT
ejpam-6192	298	1	,	,	PUNCT
ejpam-6192	298	2	m−	m−	PROPN
ejpam-6192	298	3	1	1	NUM
ejpam-6192	298	4	,	,	PUNCT
ejpam-6192	298	5	(	(	PUNCT
ejpam-6192	298	6	67	67	NUM
ejpam-6192	298	7	)	)	PUNCT
ejpam-6192	298	8	and	and	CCONJ
ejpam-6192	298	9	the	the	DET
ejpam-6192	298	10	non	non	ADJ
ejpam-6192	298	11	-	-	ADJ
ejpam-6192	298	12	equilibrium	equilibrium	ADJ
ejpam-6192	298	13	part	part	NOUN
ejpam-6192	298	14	is	be	AUX
ejpam-6192	298	15	extrapolated	extrapolate	VERB
ejpam-6192	298	16	as	as	ADP
ejpam-6192	298	17	:	:	PUNCT
ejpam-6192	298	18	g	g	PROPN
ejpam-6192	298	19	(	(	PUNCT
ejpam-6192	298	20	neq	neq	PROPN
ejpam-6192	298	21	)	)	PUNCT
ejpam-6192	298	22	ī	ī	PROPN
ejpam-6192	298	23	(	(	PUNCT
ejpam-6192	298	24	xb	xb	PROPN
ejpam-6192	298	25	,	,	PUNCT
ejpam-6192	298	26	t	t	PROPN
ejpam-6192	298	27	)	)	PUNCT
ejpam-6192	298	28	=	=	PUNCT
ejpam-6192	299	1			PRON
ejpam-6192	299	2	gī(xf	gī(xf	ADJ
ejpam-6192	299	3	,	,	PUNCT
ejpam-6192	299	4	t)−	t)−	PROPN
ejpam-6192	299	5	g	g	NOUN
ejpam-6192	299	6	(	(	PUNCT
ejpam-6192	299	7	eq	eq	NOUN
ejpam-6192	299	8	)	)	PUNCT
ejpam-6192	299	9	ī	ī	NOUN
ejpam-6192	299	10	(	(	PUNCT
ejpam-6192	299	11	xf	xf	PROPN
ejpam-6192	299	12	,	,	PUNCT
ejpam-6192	299	13	t	t	PROPN
ejpam-6192	299	14	)	)	PUNCT
ejpam-6192	299	15	,	,	PUNCT
ejpam-6192	299	16	q	q	X
ejpam-6192	299	17	≥	≥	NOUN
ejpam-6192	299	18	3	3	NUM
ejpam-6192	299	19	4	4	NUM
ejpam-6192	299	20	,	,	PUNCT
ejpam-6192	299	21	q	q	X
ejpam-6192	299	22	(	(	PUNCT
ejpam-6192	299	23	gī(xf	gī(xf	NOUN
ejpam-6192	299	24	,	,	PUNCT
ejpam-6192	299	25	t)−	t)−	PROPN
ejpam-6192	299	26	g	g	NOUN
ejpam-6192	299	27	(	(	PUNCT
ejpam-6192	299	28	eq	eq	NOUN
ejpam-6192	299	29	)	)	PUNCT
ejpam-6192	299	30	ī	ī	NOUN
ejpam-6192	299	31	(	(	PUNCT
ejpam-6192	299	32	xf	xf	PROPN
ejpam-6192	299	33	,	,	PUNCT
ejpam-6192	299	34	t	t	PROPN
ejpam-6192	299	35	)	)	PUNCT
ejpam-6192	299	36	)	)	PUNCT
ejpam-6192	300	1	+	+	CCONJ
ejpam-6192	300	2	(	(	PUNCT
ejpam-6192	300	3	1−	1−	NUM
ejpam-6192	300	4	q	q	NOUN
ejpam-6192	300	5	)	)	PUNCT
ejpam-6192	300	6	(	(	PUNCT
ejpam-6192	300	7	gī(xff	gī(xff	PROPN
ejpam-6192	300	8	,	,	PUNCT
ejpam-6192	300	9	t)−	t)−	PROPN
ejpam-6192	300	10	g	g	NOUN
ejpam-6192	300	11	(	(	PUNCT
ejpam-6192	300	12	eq	eq	NOUN
ejpam-6192	300	13	)	)	PUNCT
ejpam-6192	300	14	ī	ī	NOUN
ejpam-6192	300	15	(	(	PUNCT
ejpam-6192	300	16	xff	xff	PROPN
ejpam-6192	300	17	,	,	PUNCT
ejpam-6192	300	18	t	t	PROPN
ejpam-6192	300	19	)	)	PUNCT
ejpam-6192	300	20	)	)	PUNCT
ejpam-6192	300	21	,	,	PUNCT
ejpam-6192	300	22	q	q	X
ejpam-6192	300	23	<	<	X
ejpam-6192	300	24	3	3	NUM
ejpam-6192	300	25	4	4	NUM
ejpam-6192	300	26	.	.	PUNCT
ejpam-6192	301	1	(	(	PUNCT
ejpam-6192	301	2	68	68	NUM
ejpam-6192	301	3	)	)	PUNCT
ejpam-6192	301	4	thus	thus	ADV
ejpam-6192	301	5	,	,	PUNCT
ejpam-6192	301	6	the	the	DET
ejpam-6192	301	7	post	post	ADJ
ejpam-6192	301	8	-	-	ADJ
ejpam-6192	301	9	collision	collision	ADJ
ejpam-6192	301	10	distribution	distribution	NOUN
ejpam-6192	301	11	for	for	ADP
ejpam-6192	301	12	the	the	DET
ejpam-6192	301	13	scalar	scalar	ADJ
ejpam-6192	301	14	field	field	NOUN
ejpam-6192	301	15	becomes	become	VERB
ejpam-6192	301	16	:	:	PUNCT
ejpam-6192	301	17	g	g	PROPN
ejpam-6192	301	18	′	′	PROPN
ejpam-6192	301	19	ī(xb	ī(xb	PROPN
ejpam-6192	301	20	,	,	PUNCT
ejpam-6192	301	21	t	t	PROPN
ejpam-6192	301	22	)	)	PUNCT
ejpam-6192	301	23	=	=	SYM
ejpam-6192	302	1	g∗ī	g∗ī	X
ejpam-6192	302	2	(	(	PUNCT
ejpam-6192	302	3	xb	xb	PROPN
ejpam-6192	302	4	,	,	PUNCT
ejpam-6192	302	5	t	t	PROPN
ejpam-6192	302	6	)	)	PUNCT
ejpam-6192	303	1	+	+	CCONJ
ejpam-6192	303	2	τg	τg	NUM
ejpam-6192	303	3	−	−	NUM
ejpam-6192	303	4	1	1	NUM
ejpam-6192	303	5	τg	τg	NUM
ejpam-6192	303	6	g	g	PROPN
ejpam-6192	303	7	(	(	PUNCT
ejpam-6192	303	8	neq	neq	PROPN
ejpam-6192	303	9	)	)	PUNCT
ejpam-6192	303	10	ī	ī	PROPN
ejpam-6192	303	11	(	(	PUNCT
ejpam-6192	303	12	xb	xb	PROPN
ejpam-6192	303	13	,	,	PUNCT
ejpam-6192	303	14	t	t	PROPN
ejpam-6192	303	15	)	)	PUNCT
ejpam-6192	303	16	.	.	PUNCT
ejpam-6192	304	1	(	(	PUNCT
ejpam-6192	304	2	69	69	NUM
ejpam-6192	304	3	)	)	PUNCT
ejpam-6192	304	4	figure	figure	NOUN
ejpam-6192	304	5	3	3	NUM
ejpam-6192	304	6	:	:	PUNCT
ejpam-6192	304	7	lattice	lattice	PROPN
ejpam-6192	304	8	configurations	configuration	NOUN
ejpam-6192	304	9	:	:	PUNCT
ejpam-6192	304	10	(	(	PUNCT
ejpam-6192	304	11	a	a	X
ejpam-6192	304	12	)	)	PUNCT
ejpam-6192	304	13	d2q9	d2q9	NOUN
ejpam-6192	304	14	,	,	PUNCT
ejpam-6192	304	15	(	(	PUNCT
ejpam-6192	304	16	b	b	X
ejpam-6192	304	17	)	)	PUNCT
ejpam-6192	304	18	d2q5	d2q5	PROPN
ejpam-6192	304	19	.	.	PUNCT
ejpam-6192	305	1	y.	y.	PROPN
ejpam-6192	305	2	douich	douich	PROPN
ejpam-6192	305	3	et	et	PROPN
ejpam-6192	305	4	al	al	PROPN
ejpam-6192	305	5	.	.	PUNCT
ejpam-6192	305	6	/	/	SYM
ejpam-6192	305	7	eur	eur	PROPN
ejpam-6192	305	8	.	.	PUNCT
ejpam-6192	306	1	j.	j.	PROPN
ejpam-6192	306	2	pure	pure	PROPN
ejpam-6192	306	3	appl	appl	PROPN
ejpam-6192	306	4	.	.	PROPN
ejpam-6192	306	5	math	math	PROPN
ejpam-6192	306	6	,	,	PUNCT
ejpam-6192	306	7	18	18	NUM
ejpam-6192	306	8	(	(	PUNCT
ejpam-6192	306	9	3	3	NUM
ejpam-6192	306	10	)	)	PUNCT
ejpam-6192	306	11	(	(	PUNCT
ejpam-6192	306	12	2025	2025	NUM
ejpam-6192	306	13	)	)	PUNCT
ejpam-6192	306	14	,	,	PUNCT
ejpam-6192	306	15	6192	6192	NUM
ejpam-6192	306	16	15	15	NUM
ejpam-6192	306	17	of	of	ADP
ejpam-6192	306	18	32	32	NUM
ejpam-6192	306	19	4.6	4.6	NUM
ejpam-6192	306	20	.	.	PUNCT
ejpam-6192	307	1	implementation	implementation	NOUN
ejpam-6192	307	2	of	of	ADP
ejpam-6192	307	3	the	the	DET
ejpam-6192	307	4	algorithm	algorithm	NOUN
ejpam-6192	307	5	to	to	PART
ejpam-6192	307	6	facilitate	facilitate	VERB
ejpam-6192	307	7	the	the	DET
ejpam-6192	307	8	understanding	understanding	NOUN
ejpam-6192	307	9	of	of	ADP
ejpam-6192	307	10	the	the	DET
ejpam-6192	307	11	proposed	propose	VERB
ejpam-6192	307	12	lattice	lattice	PROPN
ejpam-6192	307	13	boltzmann	boltzmann	PROPN
ejpam-6192	307	14	inpainting	inpainte	VERB
ejpam-6192	307	15	framework	framework	NOUN
ejpam-6192	307	16	,	,	PUNCT
ejpam-6192	307	17	all	all	DET
ejpam-6192	307	18	relevant	relevant	ADJ
ejpam-6192	307	19	parameters	parameter	NOUN
ejpam-6192	307	20	and	and	CCONJ
ejpam-6192	307	21	their	their	PRON
ejpam-6192	307	22	respective	respective	ADJ
ejpam-6192	307	23	roles	role	NOUN
ejpam-6192	307	24	are	be	AUX
ejpam-6192	307	25	summarised	summarise	VERB
ejpam-6192	307	26	in	in	ADP
ejpam-6192	307	27	the	the	DET
ejpam-6192	307	28	following	follow	VERB
ejpam-6192	307	29	two	two	NUM
ejpam-6192	307	30	tables	table	NOUN
ejpam-6192	307	31	.	.	PUNCT
ejpam-6192	308	1	table	table	NOUN
ejpam-6192	308	2	2	2	NUM
ejpam-6192	308	3	lists	list	NOUN
ejpam-6192	308	4	structural	structural	ADJ
ejpam-6192	308	5	and	and	CCONJ
ejpam-6192	308	6	numerical	numerical	ADJ
ejpam-6192	308	7	variables	variable	NOUN
ejpam-6192	308	8	,	,	PUNCT
ejpam-6192	308	9	while	while	SCONJ
ejpam-6192	308	10	table	table	NOUN
ejpam-6192	308	11	3	3	NUM
ejpam-6192	308	12	gathers	gather	VERB
ejpam-6192	308	13	physical	physical	ADJ
ejpam-6192	308	14	quantities	quantity	NOUN
ejpam-6192	308	15	and	and	CCONJ
ejpam-6192	308	16	functional	functional	ADJ
ejpam-6192	308	17	coefficients	coefficient	NOUN
ejpam-6192	308	18	involved	involve	VERB
ejpam-6192	308	19	in	in	ADP
ejpam-6192	308	20	the	the	DET
ejpam-6192	308	21	image	image	NOUN
ejpam-6192	308	22	reconstruction	reconstruction	NOUN
ejpam-6192	308	23	process	process	NOUN
ejpam-6192	308	24	.	.	PUNCT
ejpam-6192	309	1	table	table	NOUN
ejpam-6192	309	2	2	2	NUM
ejpam-6192	309	3	:	:	PUNCT
ejpam-6192	309	4	structural	structural	ADJ
ejpam-6192	309	5	and	and	CCONJ
ejpam-6192	309	6	numerical	numerical	ADJ
ejpam-6192	309	7	parameters	parameter	NOUN
ejpam-6192	309	8	involved	involve	VERB
ejpam-6192	309	9	in	in	ADP
ejpam-6192	309	10	the	the	DET
ejpam-6192	309	11	lbm	lbm	NOUN
ejpam-6192	309	12	-	-	PUNCT
ejpam-6192	309	13	based	base	VERB
ejpam-6192	309	14	inpainting	inpainting	ADJ
ejpam-6192	309	15	algorithms	algorithm	NOUN
ejpam-6192	309	16	.	.	PUNCT
ejpam-6192	310	1	symbol	symbol	NOUN
ejpam-6192	310	2	name	name	NOUN
ejpam-6192	310	3	description	description	NOUN
ejpam-6192	310	4	i0	i0	PROPN
ejpam-6192	310	5	initial	initial	ADJ
ejpam-6192	310	6	image	image	NOUN
ejpam-6192	310	7	input	input	NOUN
ejpam-6192	310	8	grayscale	grayscale	NOUN
ejpam-6192	310	9	or	or	CCONJ
ejpam-6192	310	10	rgb	rgb	PROPN
ejpam-6192	310	11	image	image	NOUN
ejpam-6192	310	12	to	to	PART
ejpam-6192	310	13	be	be	AUX
ejpam-6192	310	14	restored	restore	VERB
ejpam-6192	310	15	m	m	PRON
ejpam-6192	310	16	inpainting	inpainte	VERB
ejpam-6192	310	17	mask	mask	NOUN
ejpam-6192	310	18	binary	binary	ADJ
ejpam-6192	310	19	matrix	matrix	NOUN
ejpam-6192	310	20	:	:	PUNCT
ejpam-6192	310	21	1	1	NUM
ejpam-6192	310	22	inside	inside	ADP
ejpam-6192	310	23	the	the	DET
ejpam-6192	310	24	missing	miss	VERB
ejpam-6192	310	25	region	region	NOUN
ejpam-6192	310	26	,	,	PUNCT
ejpam-6192	310	27	0	0	NUM
ejpam-6192	310	28	elsewhere	elsewhere	ADV
ejpam-6192	310	29	i	i	PRON
ejpam-6192	310	30	inpainted	inpainte	VERB
ejpam-6192	310	31	image	image	NOUN
ejpam-6192	310	32	output	output	NOUN
ejpam-6192	310	33	image	image	NOUN
ejpam-6192	310	34	updated	update	VERB
ejpam-6192	310	35	through	through	ADP
ejpam-6192	310	36	iterative	iterative	ADJ
ejpam-6192	310	37	reconstruction	reconstruction	NOUN
ejpam-6192	310	38	fi	fi	NOUN
ejpam-6192	310	39	vorticity	vorticity	NOUN
ejpam-6192	310	40	distribution	distribution	NOUN
ejpam-6192	310	41	lbm	lbm	NOUN
ejpam-6192	310	42	distribution	distribution	NOUN
ejpam-6192	310	43	function	function	NOUN
ejpam-6192	310	44	for	for	ADP
ejpam-6192	310	45	vorticity	vorticity	NOUN
ejpam-6192	310	46	gi	gi	NOUN
ejpam-6192	310	47	intensity	intensity	NOUN
ejpam-6192	310	48	distribution	distribution	NOUN
ejpam-6192	310	49	lbm	lbm	NOUN
ejpam-6192	310	50	distribution	distribution	NOUN
ejpam-6192	310	51	function	function	NOUN
ejpam-6192	310	52	for	for	ADP
ejpam-6192	310	53	intensity	intensity	NOUN
ejpam-6192	310	54	f	f	PROPN
ejpam-6192	310	55	(	(	PUNCT
ejpam-6192	310	56	eq	eq	NOUN
ejpam-6192	310	57	)	)	PUNCT
ejpam-6192	310	58	i	i	PRON
ejpam-6192	310	59	equilibrium	equilibrium	NOUN
ejpam-6192	310	60	(	(	PUNCT
ejpam-6192	310	61	vorticity	vorticity	NOUN
ejpam-6192	310	62	)	)	PUNCT
ejpam-6192	310	63	local	local	ADJ
ejpam-6192	310	64	equilibrium	equilibrium	NOUN
ejpam-6192	310	65	for	for	ADP
ejpam-6192	310	66	ω	ω	NUM
ejpam-6192	310	67	g	g	PROPN
ejpam-6192	310	68	(	(	PUNCT
ejpam-6192	310	69	eq	eq	NOUN
ejpam-6192	310	70	)	)	PUNCT
ejpam-6192	310	71	i	i	PRON
ejpam-6192	310	72	equilibrium	equilibrium	NOUN
ejpam-6192	310	73	(	(	PUNCT
ejpam-6192	310	74	intensity	intensity	NOUN
ejpam-6192	310	75	)	)	PUNCT
ejpam-6192	310	76	local	local	ADJ
ejpam-6192	310	77	equilibrium	equilibrium	NOUN
ejpam-6192	310	78	for	for	ADP
ejpam-6192	310	79	i	i	PROPN
ejpam-6192	310	80	ci	ci	PROPN
ejpam-6192	310	81	lattice	lattice	PROPN
ejpam-6192	310	82	velocities	velocity	NOUN
ejpam-6192	310	83	discrete	discrete	VERB
ejpam-6192	310	84	propagation	propagation	NOUN
ejpam-6192	310	85	directions	direction	NOUN
ejpam-6192	310	86	(	(	PUNCT
ejpam-6192	310	87	d2q5	d2q5	ADJ
ejpam-6192	310	88	/	/	SYM
ejpam-6192	310	89	d2q9	d2q9	NOUN
ejpam-6192	310	90	)	)	PUNCT
ejpam-6192	310	91	cs	cs	PROPN
ejpam-6192	310	92	sound	sound	NOUN
ejpam-6192	310	93	speed	speed	PROPN
ejpam-6192	310	94	lbm	lbm	NOUN
ejpam-6192	310	95	constant	constant	ADJ
ejpam-6192	310	96	for	for	ADP
ejpam-6192	310	97	viscosity	viscosity	NOUN
ejpam-6192	310	98	/	/	SYM
ejpam-6192	310	99	diffusivity	diffusivity	NOUN
ejpam-6192	310	100	scaling	scale	VERB
ejpam-6192	310	101	δi	δi	PRON
ejpam-6192	310	102	,	,	PUNCT
ejpam-6192	310	103	ϖi	ϖi	AUX
ejpam-6192	310	104	lattice	lattice	VERB
ejpam-6192	310	105	weights	weight	VERB
ejpam-6192	310	106	weights	weight	NOUN
ejpam-6192	310	107	in	in	ADP
ejpam-6192	310	108	equilibrium	equilibrium	NOUN
ejpam-6192	310	109	formulations	formulation	NOUN
ejpam-6192	310	110	n	n	PRON
ejpam-6192	310	111	number	number	NOUN
ejpam-6192	310	112	of	of	ADP
ejpam-6192	310	113	iterations	iteration	NOUN
ejpam-6192	310	114	fixed	fix	VERB
ejpam-6192	310	115	stopping	stopping	NOUN
ejpam-6192	310	116	criterion	criterion	NOUN
ejpam-6192	310	117	for	for	ADP
ejpam-6192	310	118	simulation	simulation	NOUN
ejpam-6192	310	119	∆t	∆t	PROPN
ejpam-6192	310	120	time	time	NOUN
ejpam-6192	310	121	step	step	NOUN
ejpam-6192	310	122	time	time	NOUN
ejpam-6192	310	123	increment	increment	NOUN
ejpam-6192	310	124	(	(	PUNCT
ejpam-6192	310	125	set	set	VERB
ejpam-6192	310	126	to	to	ADP
ejpam-6192	310	127	1	1	NUM
ejpam-6192	310	128	)	)	PUNCT
ejpam-6192	310	129	∆x	∆x	PROPN
ejpam-6192	310	130	,	,	PUNCT
ejpam-6192	310	131	∆y	∆y	PROPN
ejpam-6192	310	132	grid	grid	NOUN
ejpam-6192	310	133	spacing	space	VERB
ejpam-6192	310	134	spatial	spatial	ADJ
ejpam-6192	310	135	resolution	resolution	NOUN
ejpam-6192	310	136	(	(	PUNCT
ejpam-6192	310	137	set	set	VERB
ejpam-6192	310	138	to	to	ADP
ejpam-6192	310	139	1	1	NUM
ejpam-6192	310	140	)	)	PUNCT
ejpam-6192	310	141	table	table	NOUN
ejpam-6192	310	142	3	3	NUM
ejpam-6192	310	143	:	:	PUNCT
ejpam-6192	310	144	physical	physical	ADJ
ejpam-6192	310	145	and	and	CCONJ
ejpam-6192	310	146	functional	functional	ADJ
ejpam-6192	310	147	parameters	parameter	NOUN
ejpam-6192	310	148	governing	govern	VERB
ejpam-6192	310	149	the	the	DET
ejpam-6192	310	150	behaviour	behaviour	NOUN
ejpam-6192	310	151	of	of	ADP
ejpam-6192	310	152	the	the	DET
ejpam-6192	310	153	lbm	lbm	PROPN
ejpam-6192	310	154	inpainting	inpainting	ADJ
ejpam-6192	310	155	model	model	NOUN
ejpam-6192	310	156	.	.	PUNCT
ejpam-6192	311	1	symbol	symbol	NOUN
ejpam-6192	311	2	name	name	NOUN
ejpam-6192	311	3	description	description	NOUN
ejpam-6192	311	4	ω	ω	NUM
ejpam-6192	311	5	vorticity	vorticity	NOUN
ejpam-6192	311	6	field	field	NOUN
ejpam-6192	311	7	encodes	encode	VERB
ejpam-6192	311	8	local	local	ADJ
ejpam-6192	311	9	image	image	NOUN
ejpam-6192	311	10	smoothness	smoothness	NOUN
ejpam-6192	311	11	flow	flow	NOUN
ejpam-6192	311	12	v	v	NOUN
ejpam-6192	311	13	=	=	NOUN
ejpam-6192	311	14	∇⊥i	∇⊥i	NOUN
ejpam-6192	311	15	guidance	guidance	NOUN
ejpam-6192	311	16	field	field	NOUN
ejpam-6192	311	17	isophote	isophote	NOUN
ejpam-6192	311	18	direction	direction	NOUN
ejpam-6192	311	19	used	use	VERB
ejpam-6192	311	20	in	in	ADP
ejpam-6192	311	21	transport	transport	NOUN
ejpam-6192	311	22	si	si	PROPN
ejpam-6192	311	23	source	source	NOUN
ejpam-6192	311	24	term	term	NOUN
ejpam-6192	311	25	forcing	force	VERB
ejpam-6192	311	26	term	term	NOUN
ejpam-6192	311	27	derived	derive	VERB
ejpam-6192	311	28	from	from	ADP
ejpam-6192	311	29	ω	ω	NUM
ejpam-6192	311	30	for	for	ADP
ejpam-6192	311	31	the	the	DET
ejpam-6192	311	32	heat	heat	NOUN
ejpam-6192	311	33	equation	equation	NOUN
ejpam-6192	311	34	τ	τ	X
ejpam-6192	311	35	relaxation	relaxation	NOUN
ejpam-6192	311	36	time	time	NOUN
ejpam-6192	311	37	for	for	ADP
ejpam-6192	311	38	ω	ω	NUM
ejpam-6192	311	39	controls	control	NOUN
ejpam-6192	311	40	diffusion	diffusion	NOUN
ejpam-6192	311	41	rate	rate	NOUN
ejpam-6192	311	42	via	via	ADP
ejpam-6192	311	43	viscosity	viscosity	NOUN
ejpam-6192	311	44	ν	ν	NOUN
ejpam-6192	311	45	τg	τg	NUM
ejpam-6192	311	46	relaxation	relaxation	NOUN
ejpam-6192	311	47	time	time	NOUN
ejpam-6192	311	48	for	for	SCONJ
ejpam-6192	311	49	i	i	PRON
ejpam-6192	311	50	controls	control	VERB
ejpam-6192	311	51	thermal	thermal	ADJ
ejpam-6192	311	52	behaviour	behaviour	NOUN
ejpam-6192	311	53	via	via	ADP
ejpam-6192	311	54	diffusivity	diffusivity	NOUN
ejpam-6192	311	55	α	α	PROPN
ejpam-6192	311	56	ν	ν	ADP
ejpam-6192	311	57	kinematic	kinematic	ADJ
ejpam-6192	311	58	viscosity	viscosity	NOUN
ejpam-6192	311	59	regulates	regulate	VERB
ejpam-6192	311	60	the	the	DET
ejpam-6192	311	61	smoothing	smoothing	NOUN
ejpam-6192	311	62	of	of	ADP
ejpam-6192	311	63	vorticity	vorticity	NOUN
ejpam-6192	311	64	α	α	DET
ejpam-6192	311	65	thermal	thermal	ADJ
ejpam-6192	311	66	diffusivity	diffusivity	NOUN
ejpam-6192	311	67	controls	control	VERB
ejpam-6192	311	68	speed	speed	NOUN
ejpam-6192	311	69	of	of	ADP
ejpam-6192	311	70	convergence	convergence	NOUN
ejpam-6192	311	71	in	in	ADP
ejpam-6192	311	72	i	i	PRON
ejpam-6192	311	73	evolution	evolution	PROPN
ejpam-6192	311	74	k	k	PROPN
ejpam-6192	311	75	diffusion	diffusion	NOUN
ejpam-6192	311	76	function	function	NOUN
ejpam-6192	311	77	anisotropic	anisotropic	NOUN
ejpam-6192	311	78	weight	weight	NOUN
ejpam-6192	311	79	for	for	ADP
ejpam-6192	311	80	edge	edge	NOUN
ejpam-6192	311	81	preservation	preservation	NOUN
ejpam-6192	311	82	y.	y.	PROPN
ejpam-6192	311	83	douich	douich	PROPN
ejpam-6192	312	1	et	et	PROPN
ejpam-6192	312	2	al	al	PROPN
ejpam-6192	312	3	.	.	PUNCT
ejpam-6192	312	4	/	/	SYM
ejpam-6192	312	5	eur	eur	PROPN
ejpam-6192	312	6	.	.	PUNCT
ejpam-6192	313	1	j.	j.	PROPN
ejpam-6192	313	2	pure	pure	PROPN
ejpam-6192	313	3	appl	appl	PROPN
ejpam-6192	313	4	.	.	PROPN
ejpam-6192	313	5	math	math	PROPN
ejpam-6192	313	6	,	,	PUNCT
ejpam-6192	313	7	18	18	NUM
ejpam-6192	313	8	(	(	PUNCT
ejpam-6192	313	9	3	3	NUM
ejpam-6192	313	10	)	)	PUNCT
ejpam-6192	313	11	(	(	PUNCT
ejpam-6192	313	12	2025	2025	NUM
ejpam-6192	313	13	)	)	PUNCT
ejpam-6192	313	14	,	,	PUNCT
ejpam-6192	313	15	6192	6192	NUM
ejpam-6192	313	16	16	16	NUM
ejpam-6192	313	17	of	of	ADP
ejpam-6192	313	18	32	32	NUM
ejpam-6192	313	19	algorithm	algorithm	NOUN
ejpam-6192	313	20	1	1	NUM
ejpam-6192	313	21	proposed	propose	VERB
ejpam-6192	313	22	lattice	lattice	PROPN
ejpam-6192	313	23	boltzmann	boltzmann	PROPN
ejpam-6192	313	24	method	method	PROPN
ejpam-6192	313	25	algorithm	algorithm	NOUN
ejpam-6192	313	26	for	for	ADP
ejpam-6192	313	27	grayscale	grayscale	NOUN
ejpam-6192	313	28	image	image	NOUN
ejpam-6192	313	29	inpainting	inpainte	VERB
ejpam-6192	313	30	data	datum	NOUN
ejpam-6192	313	31	:	:	PUNCT
ejpam-6192	313	32	initial	initial	ADJ
ejpam-6192	313	33	image	image	NOUN
ejpam-6192	313	34	i0	i0	PROPN
ejpam-6192	313	35	,	,	PUNCT
ejpam-6192	313	36	binary	binary	PROPN
ejpam-6192	313	37	mask	mask	NOUN
ejpam-6192	313	38	m	m	AUX
ejpam-6192	313	39	indicating	indicate	VERB
ejpam-6192	313	40	the	the	DET
ejpam-6192	313	41	inpainting	inpainting	ADJ
ejpam-6192	313	42	region	region	NOUN
ejpam-6192	313	43	result	result	NOUN
ejpam-6192	313	44	:	:	PUNCT
ejpam-6192	313	45	reconstructed	reconstructed	ADJ
ejpam-6192	313	46	image	image	NOUN
ejpam-6192	313	47	i	i	PRON
ejpam-6192	313	48	initialization	initialization	NOUN
ejpam-6192	313	49	:	:	PUNCT
ejpam-6192	313	50	define	define	VERB
ejpam-6192	313	51	the	the	DET
ejpam-6192	313	52	parameters	parameter	NOUN
ejpam-6192	313	53	of	of	ADP
ejpam-6192	313	54	lattice	lattice	PROPN
ejpam-6192	313	55	dnqm	dnqm	PROPN
ejpam-6192	313	56	;	;	PUNCT
ejpam-6192	313	57	//	//	SYM
ejpam-6192	313	58	∆x	∆x	PROPN
ejpam-6192	313	59	,	,	PUNCT
ejpam-6192	313	60	∆t	∆t	PROPN
ejpam-6192	313	61	,	,	PUNCT
ejpam-6192	313	62	c	c	PROPN
ejpam-6192	313	63	=	=	SYM
ejpam-6192	313	64	∆x	∆x	PROPN
ejpam-6192	313	65	∆t	∆t	PROPN
ejpam-6192	313	66	,	,	PUNCT
ejpam-6192	313	67	velocities	velocity	NOUN
ejpam-6192	313	68	ci	ci	PROPN
ejpam-6192	313	69	,	,	PUNCT
ejpam-6192	313	70	wi	wi	PROPN
ejpam-6192	313	71	and	and	CCONJ
ejpam-6192	313	72	cs	cs	PROPN
ejpam-6192	314	1	i	i	PRON
ejpam-6192	314	2	←	←	PROPN
ejpam-6192	314	3	i0	i0	PROPN
ejpam-6192	314	4	;	;	PUNCT
ejpam-6192	314	5	//	//	NUM
ejpam-6192	314	6	copy	copy	VERB
ejpam-6192	314	7	initial	initial	ADJ
ejpam-6192	314	8	image	image	NOUN
ejpam-6192	314	9	gi(x	gi(x	NOUN
ejpam-6192	314	10	)	)	PUNCT
ejpam-6192	314	11	(	(	PUNCT
ejpam-6192	314	12	0	0	X
ejpam-6192	314	13	)	)	PUNCT
ejpam-6192	314	14	←	←	PROPN
ejpam-6192	314	15	geqi	geqi	PROPN
ejpam-6192	314	16	(	(	PUNCT
ejpam-6192	314	17	x	x	X
ejpam-6192	314	18	,	,	PUNCT
ejpam-6192	314	19	0	0	NUM
ejpam-6192	314	20	)	)	PUNCT
ejpam-6192	314	21	;	;	PUNCT
ejpam-6192	314	22	//	//	PUNCT
ejpam-6192	314	23	initialize	initialize	VERB
ejpam-6192	314	24	g	g	NOUN
ejpam-6192	314	25	with	with	ADP
ejpam-6192	314	26	equilibrium	equilibrium	NOUN
ejpam-6192	314	27	ω(0	ω(0	NOUN
ejpam-6192	314	28	)	)	PUNCT
ejpam-6192	314	29	←	←	PROPN
ejpam-6192	314	30	0	0	NUM
ejpam-6192	314	31	,	,	PUNCT
ejpam-6192	314	32	f	f	PROPN
ejpam-6192	314	33	(	(	PUNCT
ejpam-6192	314	34	0	0	NUM
ejpam-6192	314	35	)	)	PUNCT
ejpam-6192	314	36	i	i	PRON
ejpam-6192	314	37	←	←	PROPN
ejpam-6192	314	38	0	0	NUM
ejpam-6192	314	39	;	;	PUNCT
ejpam-6192	314	40	//	//	PUNCT
ejpam-6192	314	41	initialize	initialize	NOUN
ejpam-6192	314	42	distributions	distribution	NOUN
ejpam-6192	314	43	v	v	ADP
ejpam-6192	314	44	←	←	PROPN
ejpam-6192	314	45	∇⊥i	∇⊥i	NOUN
ejpam-6192	314	46	;	;	PUNCT
ejpam-6192	314	47	//	//	X
ejpam-6192	314	48	perpendicular	perpendicular	ADJ
ejpam-6192	314	49	gradient	gradient	NOUN
ejpam-6192	314	50	(	(	PUNCT
ejpam-6192	314	51	guidance	guidance	NOUN
ejpam-6192	314	52	field	field	NOUN
ejpam-6192	314	53	)	)	PUNCT
ejpam-6192	314	54	for	for	ADP
ejpam-6192	314	55	n	n	NOUN
ejpam-6192	314	56	=	=	SYM
ejpam-6192	314	57	1	1	NUM
ejpam-6192	314	58	to	to	PART
ejpam-6192	314	59	n	n	PRON
ejpam-6192	314	60	do	do	VERB
ejpam-6192	314	61	foreach	foreach	NOUN
ejpam-6192	314	62	pixel	pixel	PROPN
ejpam-6192	314	63	x	x	PUNCT
ejpam-6192	314	64	where	where	SCONJ
ejpam-6192	314	65	m(x	m(x	X
ejpam-6192	314	66	)	)	PUNCT
ejpam-6192	314	67	=	=	SYM
ejpam-6192	314	68	1	1	NUM
ejpam-6192	314	69	do	do	AUX
ejpam-6192	314	70	compute	compute	NOUN
ejpam-6192	314	71	ω(n)(x	ω(n)(x	NUM
ejpam-6192	314	72	)	)	PUNCT
ejpam-6192	314	73	←	←	PROPN
ejpam-6192	314	74	4∑	4∑	PROPN
ejpam-6192	314	75	i=0	i=0	PROPN
ejpam-6192	314	76	f	f	X
ejpam-6192	314	77	(	(	PUNCT
ejpam-6192	314	78	n	n	CCONJ
ejpam-6192	314	79	)	)	PUNCT
ejpam-6192	314	80	i	i	PRON
ejpam-6192	314	81	(	(	PUNCT
ejpam-6192	314	82	x	x	X
ejpam-6192	314	83	)	)	PUNCT
ejpam-6192	314	84	compute	compute	PROPN
ejpam-6192	314	85	∇ω(n)(x	∇ω(n)(x	NOUN
ejpam-6192	314	86	)	)	PUNCT
ejpam-6192	314	87	using	use	VERB
ejpam-6192	314	88	eq	eq	X
ejpam-6192	314	89	.	.	PUNCT
ejpam-6192	315	1	(	(	PUNCT
ejpam-6192	315	2	54	54	NUM
ejpam-6192	315	3	)	)	PUNCT
ejpam-6192	315	4	compute	compute	NOUN
ejpam-6192	315	5	relaxation	relaxation	NOUN
ejpam-6192	315	6	time	time	NOUN
ejpam-6192	315	7	τ	τ	PROPN
ejpam-6192	315	8	(	(	PUNCT
ejpam-6192	315	9	n)(x	n)(x	PROPN
ejpam-6192	315	10	)	)	PUNCT
ejpam-6192	315	11	using	use	VERB
ejpam-6192	315	12	eq	eq	X
ejpam-6192	315	13	.	.	PUNCT
ejpam-6192	316	1	(	(	PUNCT
ejpam-6192	316	2	52	52	NUM
ejpam-6192	316	3	)	)	PUNCT
ejpam-6192	316	4	end	end	NOUN
ejpam-6192	316	5	apply	apply	VERB
ejpam-6192	316	6	boundary	boundary	ADJ
ejpam-6192	316	7	conditions	condition	NOUN
ejpam-6192	316	8	using	use	VERB
ejpam-6192	316	9	eq	eq	ADP
ejpam-6192	316	10	.	.	PUNCT
ejpam-6192	317	1	(	(	PUNCT
ejpam-6192	317	2	65	65	NUM
ejpam-6192	317	3	)	)	PUNCT
ejpam-6192	317	4	and	and	CCONJ
ejpam-6192	317	5	eq	eq	NOUN
ejpam-6192	317	6	.	.	PUNCT
ejpam-6192	318	1	(	(	PUNCT
ejpam-6192	318	2	69	69	NUM
ejpam-6192	318	3	)	)	PUNCT
ejpam-6192	318	4	foreach	foreach	NOUN
ejpam-6192	318	5	pixel	pixel	NOUN
ejpam-6192	318	6	x	x	SYM
ejpam-6192	318	7	where	where	SCONJ
ejpam-6192	318	8	m(x	m(x	X
ejpam-6192	318	9	)	)	PUNCT
ejpam-6192	318	10	=	=	SYM
ejpam-6192	319	1	1	1	NUM
ejpam-6192	319	2	do	do	AUX
ejpam-6192	319	3	f	f	PROPN
ejpam-6192	319	4	(	(	PUNCT
ejpam-6192	319	5	n	n	CCONJ
ejpam-6192	319	6	)	)	PUNCT
ejpam-6192	319	7	i	i	PRON
ejpam-6192	319	8	(	(	PUNCT
ejpam-6192	319	9	x)←	x)←	PROPN
ejpam-6192	319	10	f	f	PROPN
ejpam-6192	319	11	eq(n	eq(n	PROPN
ejpam-6192	319	12	)	)	PUNCT
ejpam-6192	320	1	i	i	PRON
ejpam-6192	320	2	(	(	PUNCT
ejpam-6192	320	3	x	x	X
ejpam-6192	320	4	)	)	PUNCT
ejpam-6192	320	5	;	;	PUNCT
ejpam-6192	320	6	//	//	NUM
ejpam-6192	320	7	equilibrium	equilibrium	NOUN
ejpam-6192	320	8	initialization	initialization	PROPN
ejpam-6192	320	9	collision	collision	NOUN
ejpam-6192	320	10	step	step	NOUN
ejpam-6192	320	11	:	:	PUNCT
ejpam-6192	320	12	f	f	PROPN
ejpam-6192	320	13	(	(	PUNCT
ejpam-6192	320	14	n	n	CCONJ
ejpam-6192	320	15	)	)	PUNCT
ejpam-6192	320	16	i	i	PRON
ejpam-6192	320	17	(	(	PUNCT
ejpam-6192	320	18	x	x	X
ejpam-6192	320	19	)	)	PUNCT
ejpam-6192	320	20	←	←	PROPN
ejpam-6192	320	21	f	f	PROPN
ejpam-6192	320	22	(	(	PUNCT
ejpam-6192	320	23	n	n	CCONJ
ejpam-6192	320	24	)	)	PUNCT
ejpam-6192	320	25	i	i	PRON
ejpam-6192	320	26	(	(	PUNCT
ejpam-6192	320	27	x	x	X
ejpam-6192	320	28	)	)	PUNCT
ejpam-6192	320	29	−	−	PROPN
ejpam-6192	320	30	1	1	NUM
ejpam-6192	320	31	τ	τ	X
ejpam-6192	320	32	(	(	PUNCT
ejpam-6192	320	33	n)(x	n)(x	PROPN
ejpam-6192	320	34	)	)	PUNCT
ejpam-6192	320	35	(	(	PUNCT
ejpam-6192	320	36	f	f	X
ejpam-6192	320	37	(	(	PUNCT
ejpam-6192	320	38	n	n	CCONJ
ejpam-6192	320	39	)	)	PUNCT
ejpam-6192	320	40	i	i	PRON
ejpam-6192	320	41	(	(	PUNCT
ejpam-6192	320	42	x)−	x)−	PROPN
ejpam-6192	320	43	f	f	PROPN
ejpam-6192	320	44	eq(n	eq(n	PRON
ejpam-6192	320	45	)	)	PUNCT
ejpam-6192	321	1	i	i	PRON
ejpam-6192	321	2	(	(	PUNCT
ejpam-6192	321	3	x	x	NOUN
ejpam-6192	321	4	)	)	PUNCT
ejpam-6192	321	5	)	)	PUNCT
ejpam-6192	321	6	g	g	NOUN
ejpam-6192	321	7	(	(	PUNCT
ejpam-6192	321	8	n	n	CCONJ
ejpam-6192	321	9	)	)	PUNCT
ejpam-6192	321	10	i	i	PRON
ejpam-6192	321	11	(	(	PUNCT
ejpam-6192	321	12	x	x	X
ejpam-6192	321	13	)	)	PUNCT
ejpam-6192	321	14	←	←	PROPN
ejpam-6192	321	15	g	g	PROPN
ejpam-6192	321	16	(	(	PUNCT
ejpam-6192	321	17	n	n	CCONJ
ejpam-6192	321	18	)	)	PUNCT
ejpam-6192	321	19	i	i	PRON
ejpam-6192	321	20	(	(	PUNCT
ejpam-6192	321	21	x	x	X
ejpam-6192	321	22	)	)	PUNCT
ejpam-6192	321	23	−	−	PROPN
ejpam-6192	321	24	1	1	NUM
ejpam-6192	321	25	τg	τg	NUM
ejpam-6192	321	26	(	(	PUNCT
ejpam-6192	321	27	g	g	PROPN
ejpam-6192	321	28	(	(	PUNCT
ejpam-6192	321	29	n	n	CCONJ
ejpam-6192	321	30	)	)	PUNCT
ejpam-6192	321	31	i	i	PRON
ejpam-6192	321	32	(	(	PUNCT
ejpam-6192	321	33	x)−	x)−	PROPN
ejpam-6192	321	34	g	g	PROPN
ejpam-6192	321	35	eq(n	eq(n	PUNCT
ejpam-6192	321	36	)	)	PUNCT
ejpam-6192	322	1	i	i	PRON
ejpam-6192	322	2	(	(	PUNCT
ejpam-6192	322	3	x	x	NOUN
ejpam-6192	322	4	)	)	PUNCT
ejpam-6192	322	5	)	)	PUNCT
ejpam-6192	323	1	+	+	CCONJ
ejpam-6192	323	2	α∆tϖiω	α∆tϖiω	PROPN
ejpam-6192	323	3	(	(	PUNCT
ejpam-6192	323	4	n)(x	n)(x	PROPN
ejpam-6192	323	5	)	)	PUNCT
ejpam-6192	323	6	streaming	streaming	NOUN
ejpam-6192	323	7	step	step	NOUN
ejpam-6192	323	8	:	:	PUNCT
ejpam-6192	323	9	f	f	PROPN
ejpam-6192	323	10	(	(	PUNCT
ejpam-6192	323	11	n+1	n+1	PROPN
ejpam-6192	323	12	)	)	PUNCT
ejpam-6192	323	13	i	i	PRON
ejpam-6192	323	14	(	(	PUNCT
ejpam-6192	323	15	x+	x+	PROPN
ejpam-6192	323	16	ci∆t)←	ci∆t)←	PROPN
ejpam-6192	323	17	f	f	X
ejpam-6192	323	18	(	(	PUNCT
ejpam-6192	323	19	n	n	CCONJ
ejpam-6192	323	20	)	)	PUNCT
ejpam-6192	323	21	i	i	PRON
ejpam-6192	323	22	(	(	PUNCT
ejpam-6192	323	23	x	x	X
ejpam-6192	323	24	)	)	PUNCT
ejpam-6192	323	25	g	g	PROPN
ejpam-6192	323	26	(	(	PUNCT
ejpam-6192	323	27	n+1	n+1	PROPN
ejpam-6192	323	28	)	)	PUNCT
ejpam-6192	323	29	i	i	PRON
ejpam-6192	323	30	(	(	PUNCT
ejpam-6192	323	31	x+	x+	PROPN
ejpam-6192	323	32	ci∆t)←	ci∆t)←	PROPN
ejpam-6192	323	33	g	g	PROPN
ejpam-6192	323	34	(	(	PUNCT
ejpam-6192	323	35	n	n	CCONJ
ejpam-6192	323	36	)	)	PUNCT
ejpam-6192	323	37	i	i	PRON
ejpam-6192	323	38	(	(	PUNCT
ejpam-6192	323	39	x	x	NOUN
ejpam-6192	323	40	)	)	PUNCT
ejpam-6192	323	41	reconstruction	reconstruction	NOUN
ejpam-6192	323	42	:	:	PUNCT
ejpam-6192	323	43	i(n+1)(x)←	i(n+1)(x)←	VERB
ejpam-6192	323	44	4∑	4∑	NOUN
ejpam-6192	323	45	i=0	i=0	PROPN
ejpam-6192	323	46	g	g	NOUN
ejpam-6192	323	47	(	(	PUNCT
ejpam-6192	323	48	n+1	n+1	PROPN
ejpam-6192	323	49	)	)	PUNCT
ejpam-6192	323	50	i	i	PRON
ejpam-6192	323	51	(	(	PUNCT
ejpam-6192	323	52	x	x	X
ejpam-6192	323	53	)	)	PUNCT
ejpam-6192	324	1	end	end	NOUN
ejpam-6192	324	2	end	end	NOUN
ejpam-6192	325	1	i	i	PRON
ejpam-6192	325	2	←	←	PROPN
ejpam-6192	325	3	i(n+1)(x	i(n+1)(x	PROPN
ejpam-6192	325	4	)	)	PUNCT
ejpam-6192	325	5	;	;	PUNCT
ejpam-6192	325	6	//	//	NUM
ejpam-6192	325	7	final	final	ADJ
ejpam-6192	325	8	inpainted	inpainte	VERB
ejpam-6192	325	9	image	image	NOUN
ejpam-6192	325	10	y.	y.	PROPN
ejpam-6192	325	11	douich	douich	PROPN
ejpam-6192	325	12	et	et	PROPN
ejpam-6192	325	13	al	al	PROPN
ejpam-6192	325	14	.	.	PUNCT
ejpam-6192	325	15	/	/	SYM
ejpam-6192	325	16	eur	eur	PROPN
ejpam-6192	325	17	.	.	PUNCT
ejpam-6192	326	1	j.	j.	PROPN
ejpam-6192	326	2	pure	pure	PROPN
ejpam-6192	326	3	appl	appl	PROPN
ejpam-6192	326	4	.	.	PROPN
ejpam-6192	326	5	math	math	PROPN
ejpam-6192	326	6	,	,	PUNCT
ejpam-6192	326	7	18	18	NUM
ejpam-6192	326	8	(	(	PUNCT
ejpam-6192	326	9	3	3	NUM
ejpam-6192	326	10	)	)	PUNCT
ejpam-6192	326	11	(	(	PUNCT
ejpam-6192	326	12	2025	2025	NUM
ejpam-6192	326	13	)	)	PUNCT
ejpam-6192	326	14	,	,	PUNCT
ejpam-6192	326	15	6192	6192	NUM
ejpam-6192	326	16	17	17	NUM
ejpam-6192	326	17	of	of	ADP
ejpam-6192	326	18	32	32	NUM
ejpam-6192	326	19	algorithm	algorithm	NOUN
ejpam-6192	326	20	2	2	NUM
ejpam-6192	326	21	proposed	propose	VERB
ejpam-6192	326	22	lattice	lattice	PROPN
ejpam-6192	326	23	boltzmann	boltzmann	PROPN
ejpam-6192	326	24	method	method	NOUN
ejpam-6192	326	25	algorithm	algorithm	NOUN
ejpam-6192	326	26	for	for	ADP
ejpam-6192	326	27	inpainting	inpainte	VERB
ejpam-6192	326	28	colored	colored	ADJ
ejpam-6192	326	29	images	image	NOUN
ejpam-6192	326	30	input	input	NOUN
ejpam-6192	326	31	:	:	PUNCT
ejpam-6192	326	32	initial	initial	ADJ
ejpam-6192	326	33	color	color	NOUN
ejpam-6192	326	34	image	image	NOUN
ejpam-6192	326	35	i0	i0	PROPN
ejpam-6192	326	36	with	with	ADP
ejpam-6192	326	37	3	3	NUM
ejpam-6192	326	38	channels	channel	NOUN
ejpam-6192	326	39	(	(	PUNCT
ejpam-6192	326	40	rgb	rgb	PROPN
ejpam-6192	326	41	)	)	PUNCT
ejpam-6192	326	42	,	,	PUNCT
ejpam-6192	326	43	mask	mask	NOUN
ejpam-6192	326	44	m	m	PRON
ejpam-6192	326	45	for	for	ADP
ejpam-6192	326	46	each	each	DET
ejpam-6192	326	47	channel	channel	NOUN
ejpam-6192	326	48	output	output	NOUN
ejpam-6192	326	49	:	:	PUNCT
ejpam-6192	326	50	inpainted	inpainte	VERB
ejpam-6192	326	51	color	color	NOUN
ejpam-6192	326	52	image	image	NOUN
ejpam-6192	326	53	i	i	PRON
ejpam-6192	326	54	initialization	initialization	NOUN
ejpam-6192	326	55	:	:	PUNCT
ejpam-6192	326	56	define	define	VERB
ejpam-6192	326	57	the	the	DET
ejpam-6192	326	58	parameters	parameter	NOUN
ejpam-6192	326	59	lattice	lattice	PROPN
ejpam-6192	326	60	dnqm	dnqm	PROPN
ejpam-6192	326	61	;	;	PUNCT
ejpam-6192	326	62	//	//	SYM
ejpam-6192	326	63	∆x	∆x	PROPN
ejpam-6192	326	64	,	,	PUNCT
ejpam-6192	326	65	∆t	∆t	PROPN
ejpam-6192	326	66	,	,	PUNCT
ejpam-6192	326	67	c	c	PROPN
ejpam-6192	326	68	=	=	SYM
ejpam-6192	326	69	∆x	∆x	PROPN
ejpam-6192	326	70	∆t	∆t	PROPN
ejpam-6192	326	71	,	,	PUNCT
ejpam-6192	326	72	velocities	velocity	NOUN
ejpam-6192	326	73	ci	ci	PROPN
ejpam-6192	326	74	,	,	PUNCT
ejpam-6192	326	75	wi	wi	PROPN
ejpam-6192	326	76	and	and	CCONJ
ejpam-6192	326	77	cs	cs	PROPN
ejpam-6192	327	1	i	i	PRON
ejpam-6192	327	2	←	←	PROPN
ejpam-6192	327	3	i0	i0	PROPN
ejpam-6192	327	4	;	;	PUNCT
ejpam-6192	327	5	//	//	NUM
ejpam-6192	327	6	copy	copy	VERB
ejpam-6192	327	7	initial	initial	ADJ
ejpam-6192	327	8	image	image	NOUN
ejpam-6192	327	9	into	into	ADP
ejpam-6192	327	10	working	work	VERB
ejpam-6192	327	11	variable	variable	NOUN
ejpam-6192	327	12	gi(x	gi(x	PROPN
ejpam-6192	327	13	)	)	PUNCT
ejpam-6192	327	14	(	(	PUNCT
ejpam-6192	327	15	0	0	X
ejpam-6192	327	16	)	)	PUNCT
ejpam-6192	327	17	←	←	PROPN
ejpam-6192	327	18	geqi	geqi	PROPN
ejpam-6192	327	19	(	(	PUNCT
ejpam-6192	327	20	x	x	X
ejpam-6192	327	21	,	,	PUNCT
ejpam-6192	327	22	0	0	NUM
ejpam-6192	327	23	)	)	PUNCT
ejpam-6192	327	24	;	;	PUNCT
ejpam-6192	327	25	//	//	PUNCT
ejpam-6192	327	26	initialize	initialize	VERB
ejpam-6192	327	27	auxiliary	auxiliary	ADJ
ejpam-6192	327	28	distribution	distribution	NOUN
ejpam-6192	327	29	function	function	NOUN
ejpam-6192	327	30	with	with	ADP
ejpam-6192	327	31	equilibrium	equilibrium	NOUN
ejpam-6192	327	32	ω(0	ω(0	NOUN
ejpam-6192	327	33	)	)	PUNCT
ejpam-6192	327	34	←	←	PROPN
ejpam-6192	327	35	0	0	NUM
ejpam-6192	327	36	,	,	PUNCT
ejpam-6192	327	37	f	f	PROPN
ejpam-6192	327	38	(	(	PUNCT
ejpam-6192	327	39	0	0	NUM
ejpam-6192	327	40	)	)	PUNCT
ejpam-6192	327	41	i	i	PRON
ejpam-6192	327	42	←	←	PROPN
ejpam-6192	327	43	0	0	NUM
ejpam-6192	327	44	;	;	PUNCT
ejpam-6192	327	45	//	//	PUNCT
ejpam-6192	327	46	initialize	initialize	VERB
ejpam-6192	327	47	macroscopic	macroscopic	ADJ
ejpam-6192	327	48	and	and	CCONJ
ejpam-6192	327	49	microscopic	microscopic	ADJ
ejpam-6192	327	50	distributions	distribution	NOUN
ejpam-6192	327	51	v	v	ADP
ejpam-6192	327	52	←	←	PROPN
ejpam-6192	327	53	∇⊥i	∇⊥i	NOUN
ejpam-6192	327	54	;	;	PUNCT
ejpam-6192	327	55	//	//	NUM
ejpam-6192	327	56	compute	compute	ADJ
ejpam-6192	327	57	perpendicular	perpendicular	ADJ
ejpam-6192	327	58	gradient	gradient	NOUN
ejpam-6192	327	59	(	(	PUNCT
ejpam-6192	327	60	guidance	guidance	NOUN
ejpam-6192	327	61	field	field	NOUN
ejpam-6192	327	62	)	)	PUNCT
ejpam-6192	327	63	for	for	ADP
ejpam-6192	327	64	k	k	PROPN
ejpam-6192	327	65	=	=	SYM
ejpam-6192	327	66	1	1	NUM
ejpam-6192	327	67	to	to	PART
ejpam-6192	327	68	3	3	NUM
ejpam-6192	327	69	//	//	NOUN
ejpam-6192	327	70	loop	loop	NOUN
ejpam-6192	327	71	over	over	ADP
ejpam-6192	327	72	r	r	NOUN
ejpam-6192	327	73	,	,	PUNCT
ejpam-6192	327	74	g	g	PROPN
ejpam-6192	327	75	,	,	PUNCT
ejpam-6192	327	76	b	b	NOUN
ejpam-6192	327	77	channels	channel	NOUN
ejpam-6192	327	78	do	do	AUX
ejpam-6192	327	79	apply	apply	VERB
ejpam-6192	327	80	algorithm	algorithm	NOUN
ejpam-6192	327	81	1	1	NUM
ejpam-6192	327	82	to	to	PART
ejpam-6192	327	83	channel	channel	VERB
ejpam-6192	327	84	i	i	PRON
ejpam-6192	327	85	(:	(:	VERB
ejpam-6192	327	86	,	,	PUNCT
ejpam-6192	327	87	:	:	PUNCT
ejpam-6192	327	88	,	,	PUNCT
ejpam-6192	327	89	k	k	PROPN
ejpam-6192	327	90	)	)	PUNCT
ejpam-6192	327	91	;	;	PUNCT
ejpam-6192	327	92	//	//	NUM
ejpam-6192	327	93	inpaint	inpaint	NOUN
ejpam-6192	327	94	current	current	ADJ
ejpam-6192	327	95	channel	channel	NOUN
ejpam-6192	327	96	using	use	VERB
ejpam-6192	327	97	lbm	lbm	PROPN
ejpam-6192	327	98	end	end	NOUN
ejpam-6192	327	99	return	return	NOUN
ejpam-6192	327	100	inpainted	inpainte	VERB
ejpam-6192	327	101	color	color	NOUN
ejpam-6192	327	102	image	image	NOUN
ejpam-6192	327	103	i	i	PRON
ejpam-6192	327	104	;	;	PUNCT
ejpam-6192	327	105	//	//	NUM
ejpam-6192	327	106	final	final	ADJ
ejpam-6192	327	107	reconstructed	reconstruct	VERB
ejpam-6192	327	108	rgb	rgb	PROPN
ejpam-6192	327	109	image	image	NOUN
ejpam-6192	327	110	5	5	NUM
ejpam-6192	327	111	.	.	PUNCT
ejpam-6192	327	112	experimental	experimental	ADJ
ejpam-6192	327	113	results	result	NOUN
ejpam-6192	327	114	and	and	CCONJ
ejpam-6192	327	115	discussion	discussion	NOUN
ejpam-6192	327	116	the	the	DET
ejpam-6192	327	117	proposed	propose	VERB
ejpam-6192	327	118	image	image	NOUN
ejpam-6192	327	119	inpainting	inpainte	VERB
ejpam-6192	327	120	algorithm	algorithm	NOUN
ejpam-6192	327	121	was	be	AUX
ejpam-6192	327	122	evaluated	evaluate	VERB
ejpam-6192	327	123	using	use	VERB
ejpam-6192	327	124	a	a	DET
ejpam-6192	327	125	total	total	NOUN
ejpam-6192	327	126	of	of	ADP
ejpam-6192	327	127	six	six	NUM
ejpam-6192	327	128	test	test	NOUN
ejpam-6192	327	129	images	image	NOUN
ejpam-6192	327	130	,	,	PUNCT
ejpam-6192	327	131	including	include	VERB
ejpam-6192	327	132	three	three	NUM
ejpam-6192	327	133	grayscale	grayscale	NOUN
ejpam-6192	327	134	images	image	NOUN
ejpam-6192	327	135	(	(	PUNCT
ejpam-6192	327	136	cameraman	cameraman	ADJ
ejpam-6192	327	137	,	,	PUNCT
ejpam-6192	327	138	clown	clown	ADJ
ejpam-6192	327	139	,	,	PUNCT
ejpam-6192	327	140	girlface	girlface	NOUN
ejpam-6192	327	141	)	)	PUNCT
ejpam-6192	327	142	and	and	CCONJ
ejpam-6192	327	143	three	three	NUM
ejpam-6192	327	144	colour	colour	NOUN
ejpam-6192	327	145	images	image	NOUN
ejpam-6192	327	146	(	(	PUNCT
ejpam-6192	327	147	boat	boat	NOUN
ejpam-6192	327	148	,	,	PUNCT
ejpam-6192	327	149	bridge	bridge	PROPN
ejpam-6192	327	150	,	,	PUNCT
ejpam-6192	327	151	el	el	PROPN
ejpam-6192	327	152	jadida	jadida	PROPN
ejpam-6192	327	153	city	city	PROPN
ejpam-6192	327	154	)	)	PUNCT
ejpam-6192	327	155	.	.	PUNCT
ejpam-6192	328	1	to	to	PART
ejpam-6192	328	2	simulate	simulate	VERB
ejpam-6192	328	3	degradation	degradation	NOUN
ejpam-6192	328	4	,	,	PUNCT
ejpam-6192	328	5	random	random	ADJ
ejpam-6192	328	6	lines	line	NOUN
ejpam-6192	328	7	were	be	AUX
ejpam-6192	328	8	superimposed	superimpose	VERB
ejpam-6192	328	9	on	on	ADP
ejpam-6192	328	10	the	the	DET
ejpam-6192	328	11	original	original	ADJ
ejpam-6192	328	12	images	image	NOUN
ejpam-6192	328	13	,	,	PUNCT
ejpam-6192	328	14	mimicking	mimic	VERB
ejpam-6192	328	15	scratches	scratch	NOUN
ejpam-6192	328	16	or	or	CCONJ
ejpam-6192	328	17	missing	miss	VERB
ejpam-6192	328	18	regions	region	NOUN
ejpam-6192	328	19	.	.	PUNCT
ejpam-6192	329	1	the	the	DET
ejpam-6192	329	2	inpainting	inpainting	NOUN
ejpam-6192	329	3	was	be	AUX
ejpam-6192	329	4	performed	perform	VERB
ejpam-6192	329	5	using	use	VERB
ejpam-6192	329	6	the	the	DET
ejpam-6192	329	7	lattice	lattice	NOUN
ejpam-6192	329	8	boltzmann	boltzmann	PROPN
ejpam-6192	329	9	method	method	PROPN
ejpam-6192	329	10	(	(	PUNCT
ejpam-6192	329	11	lbm	lbm	PROPN
ejpam-6192	329	12	)	)	PUNCT
ejpam-6192	329	13	based	base	VERB
ejpam-6192	329	14	on	on	ADP
ejpam-6192	329	15	the	the	DET
ejpam-6192	329	16	d2q5	d2q5	PROPN
ejpam-6192	329	17	and	and	CCONJ
ejpam-6192	329	18	d2q9	d2q9	NOUN
ejpam-6192	329	19	lattice	lattice	NOUN
ejpam-6192	329	20	models	model	NOUN
ejpam-6192	329	21	,	,	PUNCT
ejpam-6192	329	22	(	(	PUNCT
ejpam-6192	329	23	see	see	VERB
ejpam-6192	329	24	fig.3	fig.3	PROPN
ejpam-6192	329	25	)	)	PUNCT
ejpam-6192	329	26	.	.	PUNCT
ejpam-6192	330	1	to	to	PART
ejpam-6192	330	2	benchmark	benchmark	VERB
ejpam-6192	330	3	the	the	DET
ejpam-6192	330	4	performance	performance	NOUN
ejpam-6192	330	5	of	of	ADP
ejpam-6192	330	6	the	the	DET
ejpam-6192	330	7	proposed	propose	VERB
ejpam-6192	330	8	lbm	lbm	PROPN
ejpam-6192	330	9	-	-	PUNCT
ejpam-6192	330	10	based	base	VERB
ejpam-6192	330	11	inpainting	inpainting	ADJ
ejpam-6192	330	12	method	method	NOUN
ejpam-6192	330	13	,	,	PUNCT
ejpam-6192	330	14	we	we	PRON
ejpam-6192	330	15	compare	compare	VERB
ejpam-6192	330	16	it	it	PRON
ejpam-6192	330	17	against	against	ADP
ejpam-6192	330	18	two	two	NUM
ejpam-6192	330	19	well	well	ADV
ejpam-6192	330	20	-	-	PUNCT
ejpam-6192	330	21	established	establish	VERB
ejpam-6192	330	22	classical	classical	ADJ
ejpam-6192	330	23	approaches	approach	NOUN
ejpam-6192	330	24	:	:	PUNCT
ejpam-6192	330	25	the	the	DET
ejpam-6192	330	26	total	total	ADJ
ejpam-6192	330	27	variation	variation	NOUN
ejpam-6192	330	28	(	(	PUNCT
ejpam-6192	330	29	tv	tv	NOUN
ejpam-6192	330	30	)	)	PUNCT
ejpam-6192	330	31	regularisation	regularisation	NOUN
ejpam-6192	330	32	method	method	NOUN
ejpam-6192	330	33	and	and	CCONJ
ejpam-6192	330	34	the	the	DET
ejpam-6192	330	35	bertalmio	bertalmio	NOUN
ejpam-6192	330	36	–	–	PUNCT
ejpam-6192	330	37	sapiro	sapiro	NOUN
ejpam-6192	330	38	–	–	PUNCT
ejpam-6192	330	39	caselles	caselle	NOUN
ejpam-6192	330	40	–	–	PUNCT
ejpam-6192	330	41	ballester	ballester	NOUN
ejpam-6192	330	42	(	(	PUNCT
ejpam-6192	330	43	bscb	bscb	ADJ
ejpam-6192	330	44	)	)	PUNCT
ejpam-6192	330	45	algorithm	algorithm	NOUN
ejpam-6192	330	46	.	.	PUNCT
ejpam-6192	331	1	the	the	DET
ejpam-6192	331	2	tv	tv	NOUN
ejpam-6192	331	3	model	model	NOUN
ejpam-6192	331	4	,	,	PUNCT
ejpam-6192	331	5	introduced	introduce	VERB
ejpam-6192	331	6	by	by	ADP
ejpam-6192	331	7	rudin	rudin	PROPN
ejpam-6192	331	8	,	,	PUNCT
ejpam-6192	331	9	osher	osher	PROPN
ejpam-6192	331	10	,	,	PUNCT
ejpam-6192	331	11	and	and	CCONJ
ejpam-6192	331	12	fatemi	fatemi	PROPN
ejpam-6192	331	13	,	,	PUNCT
ejpam-6192	331	14	represents	represent	VERB
ejpam-6192	331	15	a	a	DET
ejpam-6192	331	16	variational	variational	ADJ
ejpam-6192	331	17	framework	framework	NOUN
ejpam-6192	331	18	that	that	PRON
ejpam-6192	331	19	effectively	effectively	ADV
ejpam-6192	331	20	preserves	preserve	VERB
ejpam-6192	331	21	edges	edge	NOUN
ejpam-6192	331	22	while	while	SCONJ
ejpam-6192	331	23	smoothing	smooth	VERB
ejpam-6192	331	24	homogeneous	homogeneous	ADJ
ejpam-6192	331	25	regions	region	NOUN
ejpam-6192	331	26	.	.	PUNCT
ejpam-6192	332	1	meanwhile	meanwhile	ADV
ejpam-6192	332	2	,	,	PUNCT
ejpam-6192	332	3	the	the	DET
ejpam-6192	332	4	bscb	bscb	PROPN
ejpam-6192	332	5	method	method	NOUN
ejpam-6192	332	6	is	be	AUX
ejpam-6192	332	7	one	one	NUM
ejpam-6192	332	8	of	of	ADP
ejpam-6192	332	9	the	the	DET
ejpam-6192	332	10	earliest	early	ADJ
ejpam-6192	332	11	inpainting	inpainting	ADJ
ejpam-6192	332	12	techniques	technique	NOUN
ejpam-6192	332	13	inspired	inspire	VERB
ejpam-6192	332	14	by	by	ADP
ejpam-6192	332	15	fluid	fluid	ADJ
ejpam-6192	332	16	dynamics	dynamic	NOUN
ejpam-6192	332	17	,	,	PUNCT
ejpam-6192	332	18	using	use	VERB
ejpam-6192	332	19	navier	navier	NOUN
ejpam-6192	332	20	–	–	PUNCT
ejpam-6192	332	21	stokes	stokes	PROPN
ejpam-6192	332	22	-	-	PUNCT
ejpam-6192	332	23	based	base	VERB
ejpam-6192	332	24	transport	transport	NOUN
ejpam-6192	332	25	along	along	ADP
ejpam-6192	332	26	isophotes	isophote	NOUN
ejpam-6192	332	27	.	.	PUNCT
ejpam-6192	333	1	these	these	DET
ejpam-6192	333	2	two	two	NUM
ejpam-6192	333	3	methods	method	NOUN
ejpam-6192	333	4	have	have	AUX
ejpam-6192	333	5	become	become	VERB
ejpam-6192	333	6	canonical	canonical	ADJ
ejpam-6192	333	7	baselines	baseline	NOUN
ejpam-6192	333	8	in	in	ADP
ejpam-6192	333	9	the	the	DET
ejpam-6192	333	10	literature	literature	NOUN
ejpam-6192	333	11	,	,	PUNCT
ejpam-6192	333	12	with	with	ADP
ejpam-6192	333	13	tv	tv	NOUN
ejpam-6192	333	14	exemplifying	exemplify	VERB
ejpam-6192	333	15	geometric	geometric	ADJ
ejpam-6192	333	16	regularisation	regularisation	NOUN
ejpam-6192	333	17	and	and	CCONJ
ejpam-6192	333	18	bscb	bscb	NOUN
ejpam-6192	333	19	reflecting	reflect	VERB
ejpam-6192	333	20	the	the	DET
ejpam-6192	333	21	physical	physical	ADJ
ejpam-6192	333	22	modeling	modeling	NOUN
ejpam-6192	333	23	perspective	perspective	NOUN
ejpam-6192	333	24	.	.	PUNCT
ejpam-6192	334	1	their	their	PRON
ejpam-6192	334	2	inclusion	inclusion	NOUN
ejpam-6192	334	3	provides	provide	VERB
ejpam-6192	334	4	a	a	DET
ejpam-6192	334	5	meaningful	meaningful	ADJ
ejpam-6192	334	6	contrast	contrast	NOUN
ejpam-6192	334	7	for	for	ADP
ejpam-6192	334	8	evaluating	evaluate	VERB
ejpam-6192	334	9	the	the	DET
ejpam-6192	334	10	reconstruction	reconstruction	NOUN
ejpam-6192	334	11	quality	quality	NOUN
ejpam-6192	334	12	,	,	PUNCT
ejpam-6192	334	13	computational	computational	ADJ
ejpam-6192	334	14	efficiency	efficiency	NOUN
ejpam-6192	334	15	,	,	PUNCT
ejpam-6192	334	16	and	and	CCONJ
ejpam-6192	334	17	structural	structural	ADJ
ejpam-6192	334	18	coherence	coherence	NOUN
ejpam-6192	334	19	of	of	ADP
ejpam-6192	334	20	our	our	PRON
ejpam-6192	334	21	lbm	lbm	NOUN
ejpam-6192	334	22	framework	framework	NOUN
ejpam-6192	334	23	.	.	PUNCT
ejpam-6192	335	1	the	the	DET
ejpam-6192	335	2	restored	restore	VERB
ejpam-6192	335	3	images	image	NOUN
ejpam-6192	335	4	were	be	AUX
ejpam-6192	335	5	compared	compare	VERB
ejpam-6192	335	6	with	with	ADP
ejpam-6192	335	7	those	those	PRON
ejpam-6192	335	8	obtained	obtain	VERB
ejpam-6192	335	9	using	use	VERB
ejpam-6192	335	10	bscb	bscb	PROPN
ejpam-6192	335	11	and	and	CCONJ
ejpam-6192	335	12	tv	tv	NOUN
ejpam-6192	335	13	approaches	approach	NOUN
ejpam-6192	335	14	.	.	PUNCT
ejpam-6192	336	1	all	all	DET
ejpam-6192	336	2	implementations	implementation	NOUN
ejpam-6192	336	3	were	be	AUX
ejpam-6192	336	4	carried	carry	VERB
ejpam-6192	336	5	out	out	ADP
ejpam-6192	336	6	in	in	ADP
ejpam-6192	336	7	matlab	matlab	PROPN
ejpam-6192	336	8	2018	2018	NUM
ejpam-6192	336	9	on	on	ADP
ejpam-6192	336	10	a	a	DET
ejpam-6192	336	11	windows	window	NOUN
ejpam-6192	336	12	10	10	NUM
ejpam-6192	336	13	operating	operating	NOUN
ejpam-6192	336	14	system	system	NOUN
ejpam-6192	336	15	.	.	PUNCT
ejpam-6192	337	1	the	the	DET
ejpam-6192	337	2	quality	quality	NOUN
ejpam-6192	337	3	of	of	ADP
ejpam-6192	337	4	the	the	DET
ejpam-6192	337	5	restored	restore	VERB
ejpam-6192	337	6	images	image	NOUN
ejpam-6192	337	7	was	be	AUX
ejpam-6192	337	8	quantitatively	quantitatively	ADV
ejpam-6192	337	9	assessed	assess	VERB
ejpam-6192	337	10	using	use	VERB
ejpam-6192	337	11	the	the	DET
ejpam-6192	337	12	peak	peak	NOUN
ejpam-6192	337	13	signal	signal	NOUN
ejpam-6192	337	14	-	-	PUNCT
ejpam-6192	337	15	to	to	ADP
ejpam-6192	337	16	-	-	PUNCT
ejpam-6192	337	17	noise	noise	NOUN
ejpam-6192	337	18	ratio	ratio	NOUN
ejpam-6192	337	19	(	(	PUNCT
ejpam-6192	337	20	psnr	psnr	NOUN
ejpam-6192	337	21	)	)	PUNCT
ejpam-6192	337	22	and	and	CCONJ
ejpam-6192	337	23	the	the	DET
ejpam-6192	337	24	structural	structural	ADJ
ejpam-6192	337	25	similarity	similarity	NOUN
ejpam-6192	337	26	index	index	NOUN
ejpam-6192	337	27	measure	measure	NOUN
ejpam-6192	337	28	(	(	PUNCT
ejpam-6192	337	29	ssim	ssim	NOUN
ejpam-6192	337	30	)	)	PUNCT
ejpam-6192	337	31	.	.	PUNCT
ejpam-6192	338	1	the	the	DET
ejpam-6192	338	2	psnr	psnr	NOUN
ejpam-6192	338	3	is	be	AUX
ejpam-6192	338	4	a	a	DET
ejpam-6192	338	5	standard	standard	ADJ
ejpam-6192	338	6	metric	metric	NOUN
ejpam-6192	338	7	that	that	PRON
ejpam-6192	338	8	evaluates	evaluate	VERB
ejpam-6192	338	9	the	the	DET
ejpam-6192	338	10	fidelity	fidelity	NOUN
ejpam-6192	338	11	of	of	ADP
ejpam-6192	338	12	the	the	DET
ejpam-6192	338	13	restored	restore	VERB
ejpam-6192	338	14	image	image	NOUN
ejpam-6192	338	15	relative	relative	ADJ
ejpam-6192	338	16	to	to	ADP
ejpam-6192	338	17	the	the	DET
ejpam-6192	338	18	y.	y.	PROPN
ejpam-6192	338	19	douich	douich	PROPN
ejpam-6192	338	20	et	et	PROPN
ejpam-6192	338	21	al	al	PROPN
ejpam-6192	338	22	.	.	PUNCT
ejpam-6192	338	23	/	/	SYM
ejpam-6192	338	24	eur	eur	PROPN
ejpam-6192	338	25	.	.	PUNCT
ejpam-6192	339	1	j.	j.	PROPN
ejpam-6192	339	2	pure	pure	PROPN
ejpam-6192	339	3	appl	appl	PROPN
ejpam-6192	339	4	.	.	PROPN
ejpam-6192	339	5	math	math	PROPN
ejpam-6192	339	6	,	,	PUNCT
ejpam-6192	339	7	18	18	NUM
ejpam-6192	339	8	(	(	PUNCT
ejpam-6192	339	9	3	3	NUM
ejpam-6192	339	10	)	)	PUNCT
ejpam-6192	339	11	(	(	PUNCT
ejpam-6192	339	12	2025	2025	NUM
ejpam-6192	339	13	)	)	PUNCT
ejpam-6192	339	14	,	,	PUNCT
ejpam-6192	339	15	6192	6192	NUM
ejpam-6192	339	16	18	18	NUM
ejpam-6192	339	17	of	of	ADP
ejpam-6192	339	18	32	32	NUM
ejpam-6192	339	19	original	original	ADJ
ejpam-6192	339	20	,	,	PUNCT
ejpam-6192	339	21	defined	define	VERB
ejpam-6192	339	22	by	by	ADP
ejpam-6192	339	23	:	:	PUNCT
ejpam-6192	339	24	psnr(t	psnr(t	NOUN
ejpam-6192	339	25	)	)	PUNCT
ejpam-6192	339	26	=	=	SYM
ejpam-6192	339	27	10	10	NUM
ejpam-6192	339	28	log10	log10	PROPN
ejpam-6192	339	29			PROPN
ejpam-6192	339	30	mn	mn	PROPN
ejpam-6192	339	31	(	(	PUNCT
ejpam-6192	339	32	m	m	PROPN
ejpam-6192	339	33	,	,	PUNCT
ejpam-6192	339	34	n)∑	n)∑	X
ejpam-6192	339	35	(	(	PUNCT
ejpam-6192	339	36	i	i	NOUN
ejpam-6192	339	37	,	,	PUNCT
ejpam-6192	339	38	j)=(1,1	j)=(1,1	PROPN
ejpam-6192	339	39	)	)	PUNCT
ejpam-6192	340	1	[	[	X
ejpam-6192	340	2	i((i	i((i	NOUN
ejpam-6192	340	3	,	,	PUNCT
ejpam-6192	340	4	j	j	PROPN
ejpam-6192	340	5	)	)	PUNCT
ejpam-6192	340	6	,	,	PUNCT
ejpam-6192	340	7	t)−	t)−	PROPN
ejpam-6192	340	8	i0(i	i0(i	PROPN
ejpam-6192	340	9	,	,	PUNCT
ejpam-6192	340	10	j	j	PROPN
ejpam-6192	340	11	)	)	PUNCT
ejpam-6192	340	12	]	]	PUNCT
ejpam-6192	340	13	2	2	NUM
ejpam-6192	340	14			NOUN
ejpam-6192	340	15	,	,	PUNCT
ejpam-6192	340	16	where	where	SCONJ
ejpam-6192	340	17	m	m	VERB
ejpam-6192	340	18	and	and	CCONJ
ejpam-6192	340	19	n	n	ADV
ejpam-6192	340	20	denote	denote	VERB
ejpam-6192	340	21	the	the	DET
ejpam-6192	340	22	dimensions	dimension	NOUN
ejpam-6192	340	23	of	of	ADP
ejpam-6192	340	24	the	the	DET
ejpam-6192	340	25	image	image	NOUN
ejpam-6192	340	26	,	,	PUNCT
ejpam-6192	340	27	i((i	i((i	NOUN
ejpam-6192	340	28	,	,	PUNCT
ejpam-6192	340	29	j	j	PROPN
ejpam-6192	340	30	)	)	PUNCT
ejpam-6192	340	31	,	,	PUNCT
ejpam-6192	340	32	t	t	PROPN
ejpam-6192	340	33	)	)	PUNCT
ejpam-6192	340	34	is	be	AUX
ejpam-6192	340	35	the	the	DET
ejpam-6192	340	36	pixel	pixel	PROPN
ejpam-6192	340	37	value	value	NOUN
ejpam-6192	340	38	of	of	ADP
ejpam-6192	340	39	the	the	DET
ejpam-6192	340	40	inpainted	inpainte	VERB
ejpam-6192	340	41	image	image	NOUN
ejpam-6192	340	42	at	at	ADP
ejpam-6192	340	43	time	time	NOUN
ejpam-6192	340	44	t	t	PROPN
ejpam-6192	340	45	,	,	PUNCT
ejpam-6192	340	46	and	and	CCONJ
ejpam-6192	340	47	i0(i	i0(i	PROPN
ejpam-6192	340	48	,	,	PUNCT
ejpam-6192	340	49	j	j	PROPN
ejpam-6192	340	50	)	)	PUNCT
ejpam-6192	340	51	is	be	AUX
ejpam-6192	340	52	the	the	DET
ejpam-6192	340	53	pixel	pixel	PROPN
ejpam-6192	340	54	value	value	NOUN
ejpam-6192	340	55	of	of	ADP
ejpam-6192	340	56	the	the	DET
ejpam-6192	340	57	original	original	ADJ
ejpam-6192	340	58	image	image	NOUN
ejpam-6192	340	59	.	.	PUNCT
ejpam-6192	341	1	the	the	DET
ejpam-6192	341	2	ssim	ssim	NOUN
ejpam-6192	341	3	metric	metric	ADJ
ejpam-6192	341	4	evaluates	evaluate	VERB
ejpam-6192	341	5	the	the	DET
ejpam-6192	341	6	similarity	similarity	NOUN
ejpam-6192	341	7	between	between	ADP
ejpam-6192	341	8	two	two	NUM
ejpam-6192	341	9	images	image	NOUN
ejpam-6192	341	10	by	by	ADP
ejpam-6192	341	11	incorporating	incorporate	VERB
ejpam-6192	341	12	perceptual	perceptual	ADJ
ejpam-6192	341	13	factors	factor	NOUN
ejpam-6192	341	14	such	such	ADJ
ejpam-6192	341	15	as	as	ADP
ejpam-6192	341	16	luminance	luminance	NOUN
ejpam-6192	341	17	,	,	PUNCT
ejpam-6192	341	18	contrast	contrast	NOUN
ejpam-6192	341	19	,	,	PUNCT
ejpam-6192	341	20	and	and	CCONJ
ejpam-6192	341	21	structural	structural	ADJ
ejpam-6192	341	22	information	information	NOUN
ejpam-6192	341	23	.	.	PUNCT
ejpam-6192	342	1	it	it	PRON
ejpam-6192	342	2	is	be	AUX
ejpam-6192	342	3	given	give	VERB
ejpam-6192	342	4	by	by	ADP
ejpam-6192	342	5	:	:	PUNCT
ejpam-6192	342	6	ssim(x	ssim(x	PROPN
ejpam-6192	342	7	,	,	PUNCT
ejpam-6192	342	8	y	y	PROPN
ejpam-6192	342	9	)	)	PUNCT
ejpam-6192	342	10	=	=	PUNCT
ejpam-6192	343	1	[	[	PUNCT
ejpam-6192	343	2	2µxµy	2µxµy	NUM
ejpam-6192	343	3	+	+	NUM
ejpam-6192	343	4	c1	c1	PROPN
ejpam-6192	343	5	µ2	µ2	PROPN
ejpam-6192	343	6	x	x	PROPN
ejpam-6192	344	1	+	+	CCONJ
ejpam-6192	345	1	µ2	µ2	PROPN
ejpam-6192	345	2	y	y	PROPN
ejpam-6192	345	3	+	+	PROPN
ejpam-6192	345	4	c1	c1	PROPN
ejpam-6192	345	5	]	]	PUNCT
ejpam-6192	345	6	·	·	PUNCT
ejpam-6192	346	1	[	[	PUNCT
ejpam-6192	346	2	2σxy	2σxy	NOUN
ejpam-6192	346	3	+	+	CCONJ
ejpam-6192	346	4	c2	c2	PROPN
ejpam-6192	346	5	σ2	σ2	PROPN
ejpam-6192	346	6	x	x	PUNCT
ejpam-6192	347	1	+	+	PROPN
ejpam-6192	347	2	σ2	σ2	PROPN
ejpam-6192	347	3	y	y	PROPN
ejpam-6192	347	4	+	+	PROPN
ejpam-6192	347	5	c2	c2	PROPN
ejpam-6192	347	6	]	]	PUNCT
ejpam-6192	347	7	·	·	PUNCT
ejpam-6192	347	8			NOUN
ejpam-6192	347	9	σxy√	σxy√	NUM
ejpam-6192	347	10	σ2	σ2	PROPN
ejpam-6192	347	11	xσ2	xσ2	PROPN
ejpam-6192	347	12	y	y	NOUN
ejpam-6192	347	13			NOUN
ejpam-6192	347	14	,	,	PUNCT
ejpam-6192	347	15	where	where	SCONJ
ejpam-6192	347	16	µx	µx	VERB
ejpam-6192	347	17	and	and	CCONJ
ejpam-6192	347	18	µy	µy	ADV
ejpam-6192	347	19	are	be	AUX
ejpam-6192	347	20	the	the	DET
ejpam-6192	347	21	means	mean	NOUN
ejpam-6192	347	22	,	,	PUNCT
ejpam-6192	347	23	σ2	σ2	PROPN
ejpam-6192	347	24	x	x	X
ejpam-6192	347	25	and	and	CCONJ
ejpam-6192	347	26	σ2	σ2	PROPN
ejpam-6192	347	27	y	y	PROPN
ejpam-6192	347	28	are	be	AUX
ejpam-6192	347	29	the	the	DET
ejpam-6192	347	30	variances	variance	NOUN
ejpam-6192	347	31	,	,	PUNCT
ejpam-6192	347	32	and	and	CCONJ
ejpam-6192	347	33	σxy	σxy	NOUN
ejpam-6192	347	34	is	be	AUX
ejpam-6192	347	35	the	the	DET
ejpam-6192	347	36	covariance	covariance	NOUN
ejpam-6192	347	37	of	of	ADP
ejpam-6192	347	38	local	local	ADJ
ejpam-6192	347	39	image	image	NOUN
ejpam-6192	347	40	patches	patch	NOUN
ejpam-6192	347	41	from	from	ADP
ejpam-6192	347	42	images	image	NOUN
ejpam-6192	347	43	x	x	PUNCT
ejpam-6192	347	44	and	and	CCONJ
ejpam-6192	347	45	y	y	PROPN
ejpam-6192	347	46	.	.	PUNCT
ejpam-6192	348	1	the	the	DET
ejpam-6192	348	2	constants	constant	NOUN
ejpam-6192	348	3	c1	c1	PROPN
ejpam-6192	348	4	and	and	CCONJ
ejpam-6192	348	5	c2	c2	PROPN
ejpam-6192	348	6	are	be	AUX
ejpam-6192	348	7	stabilizing	stabilize	VERB
ejpam-6192	348	8	terms	term	NOUN
ejpam-6192	348	9	defined	define	VERB
ejpam-6192	348	10	as	as	ADP
ejpam-6192	348	11	c1	c1	PROPN
ejpam-6192	348	12	=	=	SYM
ejpam-6192	348	13	(	(	PUNCT
ejpam-6192	348	14	k1l	k1l	PROPN
ejpam-6192	348	15	)	)	PUNCT
ejpam-6192	348	16	2	2	NUM
ejpam-6192	348	17	and	and	CCONJ
ejpam-6192	348	18	c2	c2	PROPN
ejpam-6192	348	19	=	=	SYM
ejpam-6192	348	20	(	(	PUNCT
ejpam-6192	348	21	k2l	k2l	PROPN
ejpam-6192	348	22	)	)	PUNCT
ejpam-6192	348	23	2	2	NUM
ejpam-6192	348	24	,	,	PUNCT
ejpam-6192	348	25	with	with	ADP
ejpam-6192	348	26	l	l	NOUN
ejpam-6192	348	27	=	=	SYM
ejpam-6192	348	28	255	255	NUM
ejpam-6192	348	29	representing	represent	VERB
ejpam-6192	348	30	the	the	DET
ejpam-6192	348	31	dynamic	dynamic	ADJ
ejpam-6192	348	32	range	range	NOUN
ejpam-6192	348	33	of	of	ADP
ejpam-6192	348	34	pixel	pixel	PROPN
ejpam-6192	348	35	intensities	intensity	NOUN
ejpam-6192	348	36	,	,	PUNCT
ejpam-6192	348	37	and	and	CCONJ
ejpam-6192	348	38	k1	k1	NOUN
ejpam-6192	348	39	=	=	SYM
ejpam-6192	348	40	0.01	0.01	NUM
ejpam-6192	348	41	,	,	PUNCT
ejpam-6192	348	42	k2	k2	NOUN
ejpam-6192	348	43	=	=	NOUN
ejpam-6192	348	44	0.03	0.03	NUM
ejpam-6192	348	45	.	.	PUNCT
ejpam-6192	349	1	in	in	ADP
ejpam-6192	349	2	our	our	PRON
ejpam-6192	349	3	numerical	numerical	ADJ
ejpam-6192	349	4	experiments	experiment	NOUN
ejpam-6192	349	5	,	,	PUNCT
ejpam-6192	349	6	the	the	DET
ejpam-6192	349	7	proposed	propose	VERB
ejpam-6192	349	8	algorithm	algorithm	NOUN
ejpam-6192	349	9	was	be	AUX
ejpam-6192	349	10	applied	apply	VERB
ejpam-6192	349	11	to	to	ADP
ejpam-6192	349	12	both	both	PRON
ejpam-6192	349	13	grayscale	grayscale	NOUN
ejpam-6192	349	14	and	and	CCONJ
ejpam-6192	349	15	colour	colour	NOUN
ejpam-6192	349	16	images	image	NOUN
ejpam-6192	349	17	and	and	CCONJ
ejpam-6192	349	18	compared	compare	VERB
ejpam-6192	349	19	against	against	ADP
ejpam-6192	349	20	two	two	NUM
ejpam-6192	349	21	classical	classical	ADJ
ejpam-6192	349	22	inpainting	inpainting	ADJ
ejpam-6192	349	23	techniques	technique	NOUN
ejpam-6192	349	24	:	:	PUNCT
ejpam-6192	349	25	total	total	ADJ
ejpam-6192	349	26	variation	variation	NOUN
ejpam-6192	349	27	(	(	PUNCT
ejpam-6192	349	28	tv	tv	NOUN
ejpam-6192	349	29	)	)	PUNCT
ejpam-6192	349	30	regularisation	regularisation	NOUN
ejpam-6192	349	31	and	and	CCONJ
ejpam-6192	349	32	the	the	DET
ejpam-6192	349	33	bertalmio	bertalmio	NOUN
ejpam-6192	349	34	–	–	PUNCT
ejpam-6192	349	35	sapiro	sapiro	NOUN
ejpam-6192	349	36	–	–	PUNCT
ejpam-6192	349	37	caselles	caselle	NOUN
ejpam-6192	349	38	–	–	PUNCT
ejpam-6192	349	39	ballester	ballester	NOUN
ejpam-6192	349	40	(	(	PUNCT
ejpam-6192	349	41	bscb	bscb	ADJ
ejpam-6192	349	42	)	)	PUNCT
ejpam-6192	349	43	algorithm	algorithm	NOUN
ejpam-6192	349	44	.	.	PUNCT
ejpam-6192	350	1	to	to	PART
ejpam-6192	350	2	ensure	ensure	VERB
ejpam-6192	350	3	consistency	consistency	NOUN
ejpam-6192	350	4	across	across	ADP
ejpam-6192	350	5	all	all	DET
ejpam-6192	350	6	methods	method	NOUN
ejpam-6192	350	7	,	,	PUNCT
ejpam-6192	350	8	a	a	DET
ejpam-6192	350	9	uniform	uniform	ADJ
ejpam-6192	350	10	spatial	spatial	ADJ
ejpam-6192	350	11	discretisation	discretisation	NOUN
ejpam-6192	350	12	was	be	AUX
ejpam-6192	350	13	adopted	adopt	VERB
ejpam-6192	350	14	,	,	PUNCT
ejpam-6192	350	15	with	with	ADP
ejpam-6192	350	16	∆x	∆x	PROPN
ejpam-6192	350	17	=	=	SYM
ejpam-6192	350	18	∆y	∆y	PROPN
ejpam-6192	350	19	=	=	NOUN
ejpam-6192	350	20	1	1	X
ejpam-6192	350	21	.	.	X
ejpam-6192	351	1	for	for	ADP
ejpam-6192	351	2	the	the	DET
ejpam-6192	351	3	tv	tv	NOUN
ejpam-6192	351	4	-	-	PUNCT
ejpam-6192	351	5	based	base	VERB
ejpam-6192	351	6	inpainting	inpainting	ADJ
ejpam-6192	351	7	approach	approach	NOUN
ejpam-6192	351	8	,	,	PUNCT
ejpam-6192	351	9	the	the	DET
ejpam-6192	351	10	time	time	NOUN
ejpam-6192	351	11	step	step	NOUN
ejpam-6192	351	12	∆t	∆t	PROPN
ejpam-6192	351	13	was	be	AUX
ejpam-6192	351	14	selected	select	VERB
ejpam-6192	351	15	from	from	ADP
ejpam-6192	351	16	the	the	DET
ejpam-6192	351	17	set	set	NOUN
ejpam-6192	351	18	{	{	PUNCT
ejpam-6192	351	19	0.5	0.5	NUM
ejpam-6192	351	20	,	,	PUNCT
ejpam-6192	351	21	1	1	NUM
ejpam-6192	351	22	}	}	PUNCT
ejpam-6192	351	23	,	,	PUNCT
ejpam-6192	351	24	and	and	CCONJ
ejpam-6192	351	25	the	the	DET
ejpam-6192	351	26	stopping	stop	VERB
ejpam-6192	351	27	criterion	criterion	NOUN
ejpam-6192	351	28	was	be	AUX
ejpam-6192	351	29	based	base	VERB
ejpam-6192	351	30	on	on	ADP
ejpam-6192	351	31	a	a	DET
ejpam-6192	351	32	convergence	convergence	NOUN
ejpam-6192	351	33	tolerance	tolerance	NOUN
ejpam-6192	351	34	ϵ	ϵ	X
ejpam-6192	351	35	∈	∈	PROPN
ejpam-6192	351	36	{	{	PUNCT
ejpam-6192	351	37	0.01	0.01	NUM
ejpam-6192	351	38	,	,	PUNCT
ejpam-6192	351	39	0.001	0.001	NUM
ejpam-6192	351	40	,	,	PUNCT
ejpam-6192	351	41	0.0008	0.0008	NUM
ejpam-6192	351	42	}	}	PUNCT
ejpam-6192	351	43	,	,	PUNCT
ejpam-6192	351	44	depending	depend	VERB
ejpam-6192	351	45	on	on	ADP
ejpam-6192	351	46	the	the	DET
ejpam-6192	351	47	required	require	VERB
ejpam-6192	351	48	reconstruction	reconstruction	NOUN
ejpam-6192	351	49	accuracy	accuracy	NOUN
ejpam-6192	351	50	.	.	PUNCT
ejpam-6192	352	1	in	in	ADP
ejpam-6192	352	2	contrast	contrast	NOUN
ejpam-6192	352	3	,	,	PUNCT
ejpam-6192	352	4	the	the	DET
ejpam-6192	352	5	bscb	bscb	PROPN
ejpam-6192	352	6	method	method	NOUN
ejpam-6192	352	7	used	use	VERB
ejpam-6192	352	8	a	a	DET
ejpam-6192	352	9	time	time	NOUN
ejpam-6192	352	10	step	step	NOUN
ejpam-6192	352	11	∆t	∆t	NOUN
ejpam-6192	352	12	∈	∈	PROPN
ejpam-6192	352	13	{	{	PUNCT
ejpam-6192	352	14	0.1	0.1	NUM
ejpam-6192	352	15	,	,	PUNCT
ejpam-6192	352	16	0.5	0.5	NUM
ejpam-6192	352	17	}	}	PUNCT
ejpam-6192	352	18	,	,	PUNCT
ejpam-6192	352	19	chosen	choose	VERB
ejpam-6192	352	20	to	to	PART
ejpam-6192	352	21	ensure	ensure	VERB
ejpam-6192	352	22	numerical	numerical	ADJ
ejpam-6192	352	23	stability	stability	NOUN
ejpam-6192	352	24	and	and	CCONJ
ejpam-6192	352	25	structural	structural	ADJ
ejpam-6192	352	26	coherence	coherence	NOUN
ejpam-6192	352	27	.	.	PUNCT
ejpam-6192	353	1	for	for	SCONJ
ejpam-6192	353	2	the	the	DET
ejpam-6192	353	3	lattice	lattice	PROPN
ejpam-6192	353	4	boltzmann	boltzmann	PROPN
ejpam-6192	353	5	method	method	PROPN
ejpam-6192	353	6	(	(	PUNCT
ejpam-6192	353	7	lbm	lbm	PROPN
ejpam-6192	353	8	)	)	PUNCT
ejpam-6192	353	9	,	,	PUNCT
ejpam-6192	353	10	a	a	DET
ejpam-6192	353	11	standard	standard	ADJ
ejpam-6192	353	12	configuration	configuration	NOUN
ejpam-6192	353	13	with	with	ADP
ejpam-6192	353	14	∆x	∆x	PROPN
ejpam-6192	353	15	=	=	SYM
ejpam-6192	353	16	∆y	∆y	PROPN
ejpam-6192	353	17	=	=	SYM
ejpam-6192	353	18	1	1	NUM
ejpam-6192	353	19	and	and	CCONJ
ejpam-6192	353	20	∆t	∆t	PROPN
ejpam-6192	353	21	=	=	SYM
ejpam-6192	353	22	1	1	NUM
ejpam-6192	353	23	was	be	AUX
ejpam-6192	353	24	employed	employ	VERB
ejpam-6192	353	25	,	,	PUNCT
ejpam-6192	353	26	as	as	SCONJ
ejpam-6192	353	27	commonly	commonly	ADV
ejpam-6192	353	28	adopted	adopt	VERB
ejpam-6192	353	29	in	in	ADP
ejpam-6192	353	30	lbm	lbm	NOUN
ejpam-6192	353	31	-	-	PUNCT
ejpam-6192	353	32	based	base	VERB
ejpam-6192	353	33	schemes	scheme	NOUN
ejpam-6192	353	34	.	.	PUNCT
ejpam-6192	354	1	unlike	unlike	ADP
ejpam-6192	354	2	energy	energy	NOUN
ejpam-6192	354	3	-	-	PUNCT
ejpam-6192	354	4	minimisation	minimisation	NOUN
ejpam-6192	354	5	-	-	PUNCT
ejpam-6192	354	6	based	base	VERB
ejpam-6192	354	7	iterative	iterative	NOUN
ejpam-6192	354	8	methods	method	NOUN
ejpam-6192	354	9	,	,	PUNCT
ejpam-6192	354	10	the	the	DET
ejpam-6192	354	11	stopping	stop	VERB
ejpam-6192	354	12	condition	condition	NOUN
ejpam-6192	354	13	for	for	ADP
ejpam-6192	354	14	the	the	DET
ejpam-6192	354	15	lbm	lbm	PROPN
ejpam-6192	354	16	algorithm	algorithm	NOUN
ejpam-6192	354	17	was	be	AUX
ejpam-6192	354	18	based	base	VERB
ejpam-6192	354	19	on	on	ADP
ejpam-6192	354	20	a	a	DET
ejpam-6192	354	21	fixed	fix	VERB
ejpam-6192	354	22	number	number	NOUN
ejpam-6192	354	23	of	of	ADP
ejpam-6192	354	24	iterations	iteration	NOUN
ejpam-6192	354	25	niter	niter	NOUN
ejpam-6192	354	26	,	,	PUNCT
ejpam-6192	354	27	generally	generally	ADV
ejpam-6192	354	28	ranging	range	VERB
ejpam-6192	354	29	between	between	ADP
ejpam-6192	354	30	100	100	NUM
ejpam-6192	354	31	and	and	CCONJ
ejpam-6192	354	32	2000	2000	NUM
ejpam-6192	354	33	depending	depend	VERB
ejpam-6192	354	34	on	on	ADP
ejpam-6192	354	35	the	the	DET
ejpam-6192	354	36	image	image	NOUN
ejpam-6192	354	37	resolution	resolution	NOUN
ejpam-6192	354	38	and	and	CCONJ
ejpam-6192	354	39	the	the	DET
ejpam-6192	354	40	extent	extent	NOUN
ejpam-6192	354	41	of	of	ADP
ejpam-6192	354	42	the	the	DET
ejpam-6192	354	43	inpainting	inpainting	ADJ
ejpam-6192	354	44	region	region	NOUN
ejpam-6192	354	45	.	.	PUNCT
ejpam-6192	355	1	in	in	ADP
ejpam-6192	355	2	the	the	DET
ejpam-6192	355	3	lbm	lbm	NOUN
ejpam-6192	355	4	framework	framework	NOUN
ejpam-6192	355	5	,	,	PUNCT
ejpam-6192	355	6	the	the	DET
ejpam-6192	355	7	parameters	parameter	NOUN
ejpam-6192	355	8	ν	ν	NOUN
ejpam-6192	355	9	and	and	CCONJ
ejpam-6192	355	10	α	α	PRON
ejpam-6192	355	11	play	play	VERB
ejpam-6192	355	12	crucial	crucial	ADJ
ejpam-6192	355	13	roles	role	NOUN
ejpam-6192	355	14	in	in	ADP
ejpam-6192	355	15	controlling	control	VERB
ejpam-6192	355	16	the	the	DET
ejpam-6192	355	17	diffusion	diffusion	NOUN
ejpam-6192	355	18	dynamics	dynamic	NOUN
ejpam-6192	355	19	.	.	PUNCT
ejpam-6192	356	1	the	the	DET
ejpam-6192	356	2	kinematic	kinematic	ADJ
ejpam-6192	356	3	viscosity	viscosity	NOUN
ejpam-6192	356	4	ν	ν	NOUN
ejpam-6192	356	5	,	,	PUNCT
ejpam-6192	356	6	which	which	PRON
ejpam-6192	356	7	governs	govern	VERB
ejpam-6192	356	8	the	the	DET
ejpam-6192	356	9	spread	spread	NOUN
ejpam-6192	356	10	of	of	ADP
ejpam-6192	356	11	vorticity	vorticity	NOUN
ejpam-6192	356	12	in	in	ADP
ejpam-6192	356	13	the	the	DET
ejpam-6192	356	14	advection	advection	NOUN
ejpam-6192	356	15	-	-	PUNCT
ejpam-6192	356	16	diffusion	diffusion	NOUN
ejpam-6192	356	17	equation	equation	NOUN
ejpam-6192	356	18	,	,	PUNCT
ejpam-6192	356	19	depends	depend	VERB
ejpam-6192	356	20	on	on	ADP
ejpam-6192	356	21	both	both	CCONJ
ejpam-6192	356	22	the	the	DET
ejpam-6192	356	23	relaxation	relaxation	NOUN
ejpam-6192	356	24	time	time	NOUN
ejpam-6192	356	25	τ	τ	PROPN
ejpam-6192	356	26	and	and	CCONJ
ejpam-6192	356	27	the	the	DET
ejpam-6192	356	28	spatially	spatially	ADV
ejpam-6192	356	29	varying	vary	VERB
ejpam-6192	356	30	diffusion	diffusion	NOUN
ejpam-6192	356	31	function	function	NOUN
ejpam-6192	356	32	k	k	PROPN
ejpam-6192	356	33	,	,	PUNCT
ejpam-6192	356	34	which	which	PRON
ejpam-6192	356	35	is	be	AUX
ejpam-6192	356	36	often	often	ADV
ejpam-6192	356	37	designed	design	VERB
ejpam-6192	356	38	to	to	PART
ejpam-6192	356	39	preserve	preserve	VERB
ejpam-6192	356	40	edge	edge	NOUN
ejpam-6192	356	41	information	information	NOUN
ejpam-6192	356	42	through	through	ADP
ejpam-6192	356	43	anisotropic	anisotropic	NOUN
ejpam-6192	356	44	smoothing	smoothing	NOUN
ejpam-6192	356	45	.	.	PUNCT
ejpam-6192	357	1	on	on	ADP
ejpam-6192	357	2	the	the	DET
ejpam-6192	357	3	other	other	ADJ
ejpam-6192	357	4	hand	hand	NOUN
ejpam-6192	357	5	,	,	PUNCT
ejpam-6192	357	6	the	the	DET
ejpam-6192	357	7	thermal	thermal	ADJ
ejpam-6192	357	8	diffusivityα	diffusivityα	NOUN
ejpam-6192	357	9	,	,	PUNCT
ejpam-6192	357	10	which	which	PRON
ejpam-6192	357	11	regulates	regulate	VERB
ejpam-6192	357	12	the	the	DET
ejpam-6192	357	13	temporal	temporal	ADJ
ejpam-6192	357	14	evolution	evolution	NOUN
ejpam-6192	357	15	of	of	ADP
ejpam-6192	357	16	the	the	DET
ejpam-6192	357	17	image	image	NOUN
ejpam-6192	357	18	intensity	intensity	NOUN
ejpam-6192	357	19	field	field	NOUN
ejpam-6192	357	20	,	,	PUNCT
ejpam-6192	357	21	is	be	AUX
ejpam-6192	357	22	determined	determine	VERB
ejpam-6192	357	23	by	by	ADP
ejpam-6192	357	24	the	the	DET
ejpam-6192	357	25	relaxation	relaxation	NOUN
ejpam-6192	357	26	time	time	NOUN
ejpam-6192	357	27	τg	τg	NUM
ejpam-6192	357	28	in	in	ADP
ejpam-6192	357	29	the	the	DET
ejpam-6192	357	30	thermal	thermal	ADJ
ejpam-6192	357	31	lbm	lbm	PROPN
ejpam-6192	357	32	scheme	scheme	NOUN
ejpam-6192	357	33	.	.	PUNCT
ejpam-6192	358	1	for	for	ADP
ejpam-6192	358	2	numerical	numerical	ADJ
ejpam-6192	358	3	stability	stability	NOUN
ejpam-6192	358	4	,	,	PUNCT
ejpam-6192	358	5	both	both	DET
ejpam-6192	358	6	relaxation	relaxation	NOUN
ejpam-6192	358	7	times	time	NOUN
ejpam-6192	358	8	must	must	AUX
ejpam-6192	358	9	satisfy	satisfy	VERB
ejpam-6192	358	10	the	the	DET
ejpam-6192	358	11	condition	condition	NOUN
ejpam-6192	358	12	τ	τ	PROPN
ejpam-6192	358	13	>	>	X
ejpam-6192	358	14	1	1	NUM
ejpam-6192	358	15	2	2	NUM
ejpam-6192	358	16	and	and	CCONJ
ejpam-6192	358	17	τg	τg	PRON
ejpam-6192	358	18	>	>	SYM
ejpam-6192	358	19	1	1	NUM
ejpam-6192	358	20	2	2	NUM
ejpam-6192	358	21	,	,	PUNCT
ejpam-6192	358	22	which	which	PRON
ejpam-6192	358	23	ensures	ensure	VERB
ejpam-6192	358	24	the	the	DET
ejpam-6192	358	25	positivity	positivity	NOUN
ejpam-6192	358	26	of	of	ADP
ejpam-6192	358	27	the	the	DET
ejpam-6192	358	28	physical	physical	ADJ
ejpam-6192	358	29	diffusion	diffusion	NOUN
ejpam-6192	358	30	coefficients	coefficient	NOUN
ejpam-6192	358	31	and	and	CCONJ
ejpam-6192	358	32	prevents	prevent	VERB
ejpam-6192	358	33	unphysical	unphysical	ADJ
ejpam-6192	358	34	oscillations	oscillation	NOUN
ejpam-6192	358	35	during	during	ADP
ejpam-6192	358	36	the	the	DET
ejpam-6192	358	37	simulation	simulation	NOUN
ejpam-6192	358	38	.	.	PUNCT
ejpam-6192	359	1	proper	proper	ADJ
ejpam-6192	359	2	calibray	calibray	NOUN
ejpam-6192	359	3	.	.	PUNCT
ejpam-6192	360	1	douich	douich	PROPN
ejpam-6192	360	2	et	et	PROPN
ejpam-6192	360	3	al	al	PROPN
ejpam-6192	360	4	.	.	PUNCT
ejpam-6192	360	5	/	/	SYM
ejpam-6192	360	6	eur	eur	PROPN
ejpam-6192	360	7	.	.	PUNCT
ejpam-6192	361	1	j.	j.	PROPN
ejpam-6192	361	2	pure	pure	PROPN
ejpam-6192	361	3	appl	appl	PROPN
ejpam-6192	361	4	.	.	PROPN
ejpam-6192	361	5	math	math	PROPN
ejpam-6192	361	6	,	,	PUNCT
ejpam-6192	361	7	18	18	NUM
ejpam-6192	361	8	(	(	PUNCT
ejpam-6192	361	9	3	3	NUM
ejpam-6192	361	10	)	)	PUNCT
ejpam-6192	361	11	(	(	PUNCT
ejpam-6192	361	12	2025	2025	NUM
ejpam-6192	361	13	)	)	PUNCT
ejpam-6192	361	14	,	,	PUNCT
ejpam-6192	361	15	6192	6192	NUM
ejpam-6192	361	16	19	19	NUM
ejpam-6192	361	17	of	of	ADP
ejpam-6192	361	18	32	32	NUM
ejpam-6192	361	19	tion	tion	NOUN
ejpam-6192	361	20	of	of	ADP
ejpam-6192	361	21	these	these	DET
ejpam-6192	361	22	parameters	parameter	NOUN
ejpam-6192	361	23	is	be	AUX
ejpam-6192	361	24	essential	essential	ADJ
ejpam-6192	361	25	to	to	PART
ejpam-6192	361	26	achieve	achieve	VERB
ejpam-6192	361	27	a	a	DET
ejpam-6192	361	28	balance	balance	NOUN
ejpam-6192	361	29	between	between	ADP
ejpam-6192	361	30	fast	fast	ADJ
ejpam-6192	361	31	convergence	convergence	NOUN
ejpam-6192	361	32	,	,	PUNCT
ejpam-6192	361	33	detail	detail	NOUN
ejpam-6192	361	34	preservation	preservation	NOUN
ejpam-6192	361	35	,	,	PUNCT
ejpam-6192	361	36	and	and	CCONJ
ejpam-6192	361	37	stable	stable	ADJ
ejpam-6192	361	38	inpainting	inpainting	ADJ
ejpam-6192	361	39	dynamics	dynamic	NOUN
ejpam-6192	361	40	.	.	PUNCT
ejpam-6192	362	1	y.	y.	PROPN
ejpam-6192	362	2	douich	douich	PROPN
ejpam-6192	362	3	et	et	PROPN
ejpam-6192	362	4	al	al	PROPN
ejpam-6192	362	5	.	.	PUNCT
ejpam-6192	362	6	/	/	SYM
ejpam-6192	362	7	eur	eur	PROPN
ejpam-6192	362	8	.	.	PUNCT
ejpam-6192	363	1	j.	j.	PROPN
ejpam-6192	363	2	pure	pure	PROPN
ejpam-6192	363	3	appl	appl	PROPN
ejpam-6192	363	4	.	.	PROPN
ejpam-6192	363	5	math	math	PROPN
ejpam-6192	363	6	,	,	PUNCT
ejpam-6192	363	7	18	18	NUM
ejpam-6192	363	8	(	(	PUNCT
ejpam-6192	363	9	3	3	NUM
ejpam-6192	363	10	)	)	PUNCT
ejpam-6192	363	11	(	(	PUNCT
ejpam-6192	363	12	2025	2025	NUM
ejpam-6192	363	13	)	)	PUNCT
ejpam-6192	363	14	,	,	PUNCT
ejpam-6192	363	15	6192	6192	NUM
ejpam-6192	363	16	20	20	NUM
ejpam-6192	363	17	of	of	ADP
ejpam-6192	363	18	32	32	NUM
ejpam-6192	363	19	(	(	PUNCT
ejpam-6192	363	20	a	a	NOUN
ejpam-6192	363	21	)	)	PUNCT
ejpam-6192	363	22	cameraman	cameraman	NOUN
ejpam-6192	363	23	(	(	PUNCT
ejpam-6192	363	24	b	b	NOUN
ejpam-6192	363	25	)	)	PUNCT
ejpam-6192	363	26	clown	clown	NOUN
ejpam-6192	363	27	(	(	PUNCT
ejpam-6192	363	28	c	c	NOUN
ejpam-6192	363	29	)	)	PUNCT
ejpam-6192	363	30	girlface	girlface	NOUN
ejpam-6192	363	31	(	(	PUNCT
ejpam-6192	363	32	d	d	NOUN
ejpam-6192	363	33	)	)	PUNCT
ejpam-6192	363	34	boat	boat	NOUN
ejpam-6192	363	35	(	(	PUNCT
ejpam-6192	363	36	e	e	NOUN
ejpam-6192	363	37	)	)	PUNCT
ejpam-6192	363	38	bridge	bridge	NOUN
ejpam-6192	363	39	(	(	PUNCT
ejpam-6192	363	40	f	f	X
ejpam-6192	363	41	)	)	PUNCT
ejpam-6192	363	42	el	el	PROPN
ejpam-6192	363	43	jadida	jadida	PROPN
ejpam-6192	363	44	city	city	PROPN
ejpam-6192	363	45	figure	figure	NOUN
ejpam-6192	363	46	4	4	NUM
ejpam-6192	363	47	:	:	PUNCT
ejpam-6192	363	48	the	the	DET
ejpam-6192	363	49	grid	grid	NOUN
ejpam-6192	363	50	of	of	ADP
ejpam-6192	363	51	3	3	NUM
ejpam-6192	363	52	×	×	NOUN
ejpam-6192	363	53	2	2	NUM
ejpam-6192	363	54	masked	mask	VERB
ejpam-6192	363	55	images	image	NOUN
ejpam-6192	363	56	includes	include	VERB
ejpam-6192	363	57	grayscale	grayscale	NOUN
ejpam-6192	363	58	images	image	NOUN
ejpam-6192	363	59	in	in	ADP
ejpam-6192	363	60	the	the	DET
ejpam-6192	363	61	left	left	ADJ
ejpam-6192	363	62	column	column	NOUN
ejpam-6192	363	63	and	and	CCONJ
ejpam-6192	363	64	color	color	NOUN
ejpam-6192	363	65	images	image	NOUN
ejpam-6192	363	66	in	in	ADP
ejpam-6192	363	67	the	the	DET
ejpam-6192	363	68	right	right	ADJ
ejpam-6192	363	69	column	column	NOUN
ejpam-6192	363	70	.	.	PUNCT
ejpam-6192	364	1	y.	y.	PROPN
ejpam-6192	364	2	douich	douich	PROPN
ejpam-6192	364	3	et	et	PROPN
ejpam-6192	364	4	al	al	PROPN
ejpam-6192	364	5	.	.	PUNCT
ejpam-6192	364	6	/	/	SYM
ejpam-6192	364	7	eur	eur	PROPN
ejpam-6192	364	8	.	.	PUNCT
ejpam-6192	365	1	j.	j.	PROPN
ejpam-6192	365	2	pure	pure	PROPN
ejpam-6192	365	3	appl	appl	PROPN
ejpam-6192	365	4	.	.	PROPN
ejpam-6192	365	5	math	math	PROPN
ejpam-6192	365	6	,	,	PUNCT
ejpam-6192	365	7	18	18	NUM
ejpam-6192	365	8	(	(	PUNCT
ejpam-6192	365	9	3	3	NUM
ejpam-6192	365	10	)	)	PUNCT
ejpam-6192	365	11	(	(	PUNCT
ejpam-6192	365	12	2025	2025	NUM
ejpam-6192	365	13	)	)	PUNCT
ejpam-6192	365	14	,	,	PUNCT
ejpam-6192	365	15	6192	6192	NUM
ejpam-6192	365	16	21	21	NUM
ejpam-6192	365	17	of	of	ADP
ejpam-6192	365	18	32	32	NUM
ejpam-6192	365	19	(	(	PUNCT
ejpam-6192	365	20	a	a	NOUN
ejpam-6192	365	21	)	)	PUNCT
ejpam-6192	365	22	lbm	lbm	NOUN
ejpam-6192	365	23	-	-	PUNCT
ejpam-6192	365	24	d2q5(α	d2q5(α	NOUN
ejpam-6192	365	25	=	=	NOUN
ejpam-6192	365	26	0.88	0.88	NUM
ejpam-6192	365	27	,	,	PUNCT
ejpam-6192	365	28	ν	ν	X
ejpam-6192	365	29	=	=	SYM
ejpam-6192	365	30	2.5	2.5	NUM
ejpam-6192	365	31	)	)	PUNCT
ejpam-6192	365	32	(	(	PUNCT
ejpam-6192	365	33	b	b	X
ejpam-6192	365	34	)	)	PUNCT
ejpam-6192	365	35	lbm	lbm	PROPN
ejpam-6192	365	36	-	-	NOUN
ejpam-6192	365	37	d2q9(α	d2q9(α	X
ejpam-6192	365	38	=	=	NOUN
ejpam-6192	365	39	0.43	0.43	NUM
ejpam-6192	365	40	,	,	PUNCT
ejpam-6192	365	41	ν	ν	X
ejpam-6192	365	42	=	=	SYM
ejpam-6192	365	43	2	2	NUM
ejpam-6192	365	44	)	)	PUNCT
ejpam-6192	365	45	(	(	PUNCT
ejpam-6192	365	46	c	c	X
ejpam-6192	365	47	)	)	PUNCT
ejpam-6192	365	48	bscb	bscb	NOUN
ejpam-6192	365	49	method	method	NOUN
ejpam-6192	365	50	:	:	PUNCT
ejpam-6192	365	51	∆t	∆t	PROPN
ejpam-6192	365	52	=	=	SYM
ejpam-6192	365	53	0.1	0.1	NUM
ejpam-6192	365	54	(	(	PUNCT
ejpam-6192	365	55	d	d	NOUN
ejpam-6192	365	56	)	)	PUNCT
ejpam-6192	365	57	tv	tv	NOUN
ejpam-6192	365	58	regularization	regularization	NOUN
ejpam-6192	365	59	:	:	PUNCT
ejpam-6192	365	60	ϵ	ϵ	X
ejpam-6192	365	61	=	=	SYM
ejpam-6192	365	62	10−3	10−3	NUM
ejpam-6192	365	63	,	,	PUNCT
ejpam-6192	365	64	∆t	∆t	PROPN
ejpam-6192	365	65	=	=	SYM
ejpam-6192	365	66	1	1	NUM
ejpam-6192	365	67	figure	figure	NOUN
ejpam-6192	365	68	5	5	NUM
ejpam-6192	365	69	:	:	PUNCT
ejpam-6192	365	70	inpainting	inpainte	VERB
ejpam-6192	365	71	comparison	comparison	NOUN
ejpam-6192	365	72	on	on	ADP
ejpam-6192	365	73	the	the	DET
ejpam-6192	365	74	cameraman	cameraman	ADJ
ejpam-6192	365	75	grayscale	grayscale	NOUN
ejpam-6192	365	76	image	image	NOUN
ejpam-6192	365	77	corrupted	corrupt	VERB
ejpam-6192	365	78	by	by	ADP
ejpam-6192	365	79	a	a	DET
ejpam-6192	365	80	synthetic	synthetic	ADJ
ejpam-6192	365	81	random	random	ADJ
ejpam-6192	365	82	line	line	NOUN
ejpam-6192	365	83	simulating	simulate	VERB
ejpam-6192	365	84	a	a	DET
ejpam-6192	365	85	scratch	scratch	NOUN
ejpam-6192	365	86	.	.	PUNCT
ejpam-6192	366	1	the	the	DET
ejpam-6192	366	2	missing	miss	VERB
ejpam-6192	366	3	region	region	NOUN
ejpam-6192	366	4	was	be	AUX
ejpam-6192	366	5	restored	restore	VERB
ejpam-6192	366	6	using	use	VERB
ejpam-6192	366	7	four	four	NUM
ejpam-6192	366	8	different	different	ADJ
ejpam-6192	366	9	techniques	technique	NOUN
ejpam-6192	366	10	.	.	PUNCT
ejpam-6192	367	1	(	(	PUNCT
ejpam-6192	367	2	a)–(b	a)–(b	X
ejpam-6192	367	3	):	):	PUNCT
ejpam-6192	367	4	reconstructions	reconstruction	NOUN
ejpam-6192	367	5	via	via	ADP
ejpam-6192	367	6	the	the	DET
ejpam-6192	367	7	proposed	propose	VERB
ejpam-6192	367	8	lbm	lbm	PROPN
ejpam-6192	367	9	method	method	NOUN
ejpam-6192	367	10	with	with	ADP
ejpam-6192	367	11	d2q5	d2q5	PROPN
ejpam-6192	367	12	and	and	CCONJ
ejpam-6192	367	13	d2q9	d2q9	NOUN
ejpam-6192	367	14	lattices	lattice	NOUN
ejpam-6192	367	15	;	;	PUNCT
ejpam-6192	367	16	(	(	PUNCT
ejpam-6192	367	17	c	c	X
ejpam-6192	367	18	):	):	PUNCT
ejpam-6192	367	19	bscb	bscb	ADJ
ejpam-6192	367	20	algorithm	algorithm	NOUN
ejpam-6192	367	21	;	;	PUNCT
ejpam-6192	367	22	(	(	PUNCT
ejpam-6192	367	23	d	d	X
ejpam-6192	367	24	):	):	PUNCT
ejpam-6192	367	25	total	total	ADJ
ejpam-6192	367	26	variation	variation	NOUN
ejpam-6192	367	27	(	(	PUNCT
ejpam-6192	367	28	tv	tv	NOUN
ejpam-6192	367	29	)	)	PUNCT
ejpam-6192	367	30	regularisation	regularisation	NOUN
ejpam-6192	367	31	.	.	PUNCT
ejpam-6192	368	1	lbmbased	lbmbase	VERB
ejpam-6192	368	2	methods	method	NOUN
ejpam-6192	368	3	show	show	VERB
ejpam-6192	368	4	sharper	sharp	ADJ
ejpam-6192	368	5	edge	edge	NOUN
ejpam-6192	368	6	continuity	continuity	NOUN
ejpam-6192	368	7	and	and	CCONJ
ejpam-6192	368	8	better	well	ADJ
ejpam-6192	368	9	restoration	restoration	NOUN
ejpam-6192	368	10	of	of	ADP
ejpam-6192	368	11	the	the	DET
ejpam-6192	368	12	corrupted	corrupted	ADJ
ejpam-6192	368	13	region	region	NOUN
ejpam-6192	368	14	while	while	SCONJ
ejpam-6192	368	15	requiring	require	VERB
ejpam-6192	368	16	significantly	significantly	ADV
ejpam-6192	368	17	less	less	ADJ
ejpam-6192	368	18	computation	computation	NOUN
ejpam-6192	368	19	time	time	NOUN
ejpam-6192	368	20	.	.	PUNCT
ejpam-6192	369	1	y.	y.	PROPN
ejpam-6192	369	2	douich	douich	PROPN
ejpam-6192	369	3	et	et	PROPN
ejpam-6192	369	4	al	al	PROPN
ejpam-6192	369	5	.	.	PUNCT
ejpam-6192	369	6	/	/	SYM
ejpam-6192	369	7	eur	eur	PROPN
ejpam-6192	369	8	.	.	PUNCT
ejpam-6192	370	1	j.	j.	PROPN
ejpam-6192	370	2	pure	pure	PROPN
ejpam-6192	370	3	appl	appl	PROPN
ejpam-6192	370	4	.	.	PROPN
ejpam-6192	370	5	math	math	PROPN
ejpam-6192	370	6	,	,	PUNCT
ejpam-6192	370	7	18	18	NUM
ejpam-6192	370	8	(	(	PUNCT
ejpam-6192	370	9	3	3	NUM
ejpam-6192	370	10	)	)	PUNCT
ejpam-6192	370	11	(	(	PUNCT
ejpam-6192	370	12	2025	2025	NUM
ejpam-6192	370	13	)	)	PUNCT
ejpam-6192	370	14	,	,	PUNCT
ejpam-6192	370	15	6192	6192	NUM
ejpam-6192	370	16	22	22	NUM
ejpam-6192	370	17	of	of	ADP
ejpam-6192	370	18	32	32	NUM
ejpam-6192	370	19	(	(	PUNCT
ejpam-6192	370	20	a	a	NOUN
ejpam-6192	370	21	)	)	PUNCT
ejpam-6192	370	22	lbm	lbm	NOUN
ejpam-6192	370	23	-	-	ADJ
ejpam-6192	370	24	d2q5	d2q5	PROPN
ejpam-6192	370	25	(	(	PUNCT
ejpam-6192	370	26	α	α	X
ejpam-6192	370	27	=	=	SYM
ejpam-6192	370	28	0.16	0.16	NUM
ejpam-6192	370	29	,	,	PUNCT
ejpam-6192	370	30	ν	ν	X
ejpam-6192	370	31	=	=	SYM
ejpam-6192	370	32	2.7	2.7	NUM
ejpam-6192	370	33	)	)	PUNCT
ejpam-6192	370	34	(	(	PUNCT
ejpam-6192	370	35	b	b	X
ejpam-6192	370	36	)	)	PUNCT
ejpam-6192	370	37	lbm	lbm	PROPN
ejpam-6192	370	38	-	-	ADJ
ejpam-6192	370	39	d2q9(α	d2q9(α	X
ejpam-6192	370	40	=	=	NOUN
ejpam-6192	370	41	0.23	0.23	NUM
ejpam-6192	370	42	,	,	PUNCT
ejpam-6192	370	43	ν	ν	X
ejpam-6192	370	44	=	=	SYM
ejpam-6192	370	45	0.9	0.9	NUM
ejpam-6192	370	46	)	)	PUNCT
ejpam-6192	370	47	(	(	PUNCT
ejpam-6192	370	48	c	c	X
ejpam-6192	370	49	)	)	PUNCT
ejpam-6192	370	50	bscb	bscb	NOUN
ejpam-6192	370	51	method	method	NOUN
ejpam-6192	370	52	:	:	PUNCT
ejpam-6192	370	53	∆t	∆t	PROPN
ejpam-6192	370	54	=	=	SYM
ejpam-6192	370	55	0.1	0.1	NUM
ejpam-6192	370	56	(	(	PUNCT
ejpam-6192	370	57	d	d	NOUN
ejpam-6192	370	58	)	)	PUNCT
ejpam-6192	370	59	tv	tv	NOUN
ejpam-6192	370	60	regularization	regularization	NOUN
ejpam-6192	370	61	ϵ	ϵ	X
ejpam-6192	370	62	=	=	SYM
ejpam-6192	370	63	10−3	10−3	NUM
ejpam-6192	370	64	,	,	PUNCT
ejpam-6192	370	65	∆t	∆t	PROPN
ejpam-6192	370	66	=	=	SYM
ejpam-6192	370	67	1	1	NUM
ejpam-6192	370	68	figure	figure	NOUN
ejpam-6192	370	69	6	6	NUM
ejpam-6192	370	70	:	:	PUNCT
ejpam-6192	370	71	inpainting	inpainte	VERB
ejpam-6192	370	72	results	result	NOUN
ejpam-6192	370	73	for	for	ADP
ejpam-6192	370	74	the	the	DET
ejpam-6192	370	75	girlface	girlface	NOUN
ejpam-6192	370	76	grayscale	grayscale	NOUN
ejpam-6192	370	77	image	image	NOUN
ejpam-6192	370	78	artificially	artificially	ADV
ejpam-6192	370	79	damaged	damage	VERB
ejpam-6192	370	80	by	by	ADP
ejpam-6192	370	81	randomly	randomly	ADV
ejpam-6192	370	82	oriented	orient	VERB
ejpam-6192	370	83	lines	line	NOUN
ejpam-6192	370	84	.	.	PUNCT
ejpam-6192	371	1	the	the	DET
ejpam-6192	371	2	missing	miss	VERB
ejpam-6192	371	3	regions	region	NOUN
ejpam-6192	371	4	are	be	AUX
ejpam-6192	371	5	reconstructed	reconstruct	VERB
ejpam-6192	371	6	using	use	VERB
ejpam-6192	371	7	four	four	NUM
ejpam-6192	371	8	different	different	ADJ
ejpam-6192	371	9	algorithms	algorithm	NOUN
ejpam-6192	371	10	.	.	PUNCT
ejpam-6192	372	1	(	(	PUNCT
ejpam-6192	372	2	a)–(b	a)–(b	X
ejpam-6192	372	3	)	)	PUNCT
ejpam-6192	372	4	show	show	VERB
ejpam-6192	372	5	the	the	DET
ejpam-6192	372	6	results	result	NOUN
ejpam-6192	372	7	obtained	obtain	VERB
ejpam-6192	372	8	with	with	ADP
ejpam-6192	372	9	the	the	DET
ejpam-6192	372	10	proposed	propose	VERB
ejpam-6192	372	11	lbm	lbm	PROPN
ejpam-6192	372	12	approach	approach	NOUN
ejpam-6192	372	13	using	use	VERB
ejpam-6192	372	14	d2q5	d2q5	PROPN
ejpam-6192	372	15	and	and	CCONJ
ejpam-6192	372	16	d2q9	d2q9	NOUN
ejpam-6192	372	17	lattices	lattice	NOUN
ejpam-6192	372	18	.	.	PUNCT
ejpam-6192	373	1	(	(	PUNCT
ejpam-6192	373	2	c	c	X
ejpam-6192	373	3	)	)	PUNCT
ejpam-6192	373	4	and	and	CCONJ
ejpam-6192	373	5	(	(	PUNCT
ejpam-6192	373	6	d	d	X
ejpam-6192	373	7	)	)	PUNCT
ejpam-6192	373	8	correspond	correspond	VERB
ejpam-6192	373	9	to	to	ADP
ejpam-6192	373	10	the	the	DET
ejpam-6192	373	11	bscb	bscb	NOUN
ejpam-6192	373	12	and	and	CCONJ
ejpam-6192	373	13	tv	tv	NOUN
ejpam-6192	373	14	regularisation	regularisation	NOUN
ejpam-6192	373	15	methods	method	NOUN
ejpam-6192	373	16	,	,	PUNCT
ejpam-6192	373	17	respectively	respectively	ADV
ejpam-6192	373	18	.	.	PUNCT
ejpam-6192	374	1	the	the	DET
ejpam-6192	374	2	lbm	lbm	PROPN
ejpam-6192	374	3	-	-	PUNCT
ejpam-6192	374	4	d2q9	d2q9	NOUN
ejpam-6192	374	5	model	model	NOUN
ejpam-6192	374	6	offers	offer	VERB
ejpam-6192	374	7	enhanced	enhanced	ADJ
ejpam-6192	374	8	restoration	restoration	NOUN
ejpam-6192	374	9	quality	quality	NOUN
ejpam-6192	374	10	,	,	PUNCT
ejpam-6192	374	11	particularly	particularly	ADV
ejpam-6192	374	12	in	in	ADP
ejpam-6192	374	13	facial	facial	ADJ
ejpam-6192	374	14	contours	contours	NOUN
ejpam-6192	374	15	,	,	PUNCT
ejpam-6192	374	16	with	with	ADP
ejpam-6192	374	17	minimal	minimal	ADJ
ejpam-6192	374	18	blurring	blurring	NOUN
ejpam-6192	374	19	and	and	CCONJ
ejpam-6192	374	20	improved	improve	VERB
ejpam-6192	374	21	structural	structural	ADJ
ejpam-6192	374	22	consistency	consistency	NOUN
ejpam-6192	374	23	.	.	PUNCT
ejpam-6192	375	1	y.	y.	PROPN
ejpam-6192	375	2	douich	douich	PROPN
ejpam-6192	375	3	et	et	PROPN
ejpam-6192	375	4	al	al	PROPN
ejpam-6192	375	5	.	.	PUNCT
ejpam-6192	375	6	/	/	SYM
ejpam-6192	375	7	eur	eur	PROPN
ejpam-6192	375	8	.	.	PUNCT
ejpam-6192	376	1	j.	j.	PROPN
ejpam-6192	376	2	pure	pure	PROPN
ejpam-6192	376	3	appl	appl	PROPN
ejpam-6192	376	4	.	.	PROPN
ejpam-6192	376	5	math	math	PROPN
ejpam-6192	376	6	,	,	PUNCT
ejpam-6192	376	7	18	18	NUM
ejpam-6192	376	8	(	(	PUNCT
ejpam-6192	376	9	3	3	NUM
ejpam-6192	376	10	)	)	PUNCT
ejpam-6192	376	11	(	(	PUNCT
ejpam-6192	376	12	2025	2025	NUM
ejpam-6192	376	13	)	)	PUNCT
ejpam-6192	376	14	,	,	PUNCT
ejpam-6192	376	15	6192	6192	NUM
ejpam-6192	376	16	23	23	NUM
ejpam-6192	376	17	of	of	ADP
ejpam-6192	376	18	32	32	NUM
ejpam-6192	376	19	(	(	PUNCT
ejpam-6192	376	20	a	a	NOUN
ejpam-6192	376	21	)	)	PUNCT
ejpam-6192	376	22	lbm	lbm	NOUN
ejpam-6192	376	23	-	-	PUNCT
ejpam-6192	376	24	d2q5(α	d2q5(α	NOUN
ejpam-6192	376	25	=	=	NOUN
ejpam-6192	376	26	0.36	0.36	NUM
ejpam-6192	376	27	,	,	PUNCT
ejpam-6192	376	28	ν	ν	X
ejpam-6192	376	29	=	=	SYM
ejpam-6192	376	30	1	1	NUM
ejpam-6192	376	31	)	)	PUNCT
ejpam-6192	376	32	(	(	PUNCT
ejpam-6192	376	33	b	b	X
ejpam-6192	376	34	)	)	PUNCT
ejpam-6192	376	35	lbm	lbm	NOUN
ejpam-6192	376	36	-	-	PUNCT
ejpam-6192	376	37	d2q9	d2q9	NOUN
ejpam-6192	376	38	(	(	PUNCT
ejpam-6192	376	39	α	α	NOUN
ejpam-6192	376	40	=	=	SYM
ejpam-6192	376	41	0.43	0.43	NUM
ejpam-6192	376	42	,	,	PUNCT
ejpam-6192	376	43	ν	ν	X
ejpam-6192	376	44	=	=	SYM
ejpam-6192	376	45	2.7	2.7	NUM
ejpam-6192	376	46	)	)	PUNCT
ejpam-6192	376	47	(	(	PUNCT
ejpam-6192	376	48	c	c	X
ejpam-6192	376	49	)	)	PUNCT
ejpam-6192	376	50	bscb	bscb	NOUN
ejpam-6192	376	51	method	method	NOUN
ejpam-6192	376	52	:	:	PUNCT
ejpam-6192	376	53	∆t	∆t	PROPN
ejpam-6192	376	54	=	=	SYM
ejpam-6192	376	55	0.1	0.1	NUM
ejpam-6192	376	56	(	(	PUNCT
ejpam-6192	376	57	d	d	NOUN
ejpam-6192	376	58	)	)	PUNCT
ejpam-6192	376	59	tv	tv	NOUN
ejpam-6192	376	60	regularization	regularization	NOUN
ejpam-6192	376	61	:	:	PUNCT
ejpam-6192	377	1	ϵ	ϵ	X
ejpam-6192	377	2	=	=	SYM
ejpam-6192	377	3	8.10−4	8.10−4	NUM
ejpam-6192	377	4	and	and	CCONJ
ejpam-6192	377	5	∆t	∆t	PROPN
ejpam-6192	377	6	=	=	SYM
ejpam-6192	377	7	1	1	NUM
ejpam-6192	377	8	figure	figure	NOUN
ejpam-6192	377	9	7	7	NUM
ejpam-6192	377	10	:	:	PUNCT
ejpam-6192	377	11	inpainting	inpainte	VERB
ejpam-6192	377	12	results	result	NOUN
ejpam-6192	377	13	for	for	ADP
ejpam-6192	377	14	the	the	DET
ejpam-6192	377	15	clown	clown	ADJ
ejpam-6192	377	16	grayscale	grayscale	NOUN
ejpam-6192	377	17	image	image	NOUN
ejpam-6192	377	18	artificially	artificially	ADV
ejpam-6192	377	19	damaged	damage	VERB
ejpam-6192	377	20	by	by	ADP
ejpam-6192	377	21	a	a	DET
ejpam-6192	377	22	magenta	magenta	NOUN
ejpam-6192	377	23	-	-	PUNCT
ejpam-6192	377	24	colored	color	VERB
ejpam-6192	377	25	line	line	NOUN
ejpam-6192	377	26	simulating	simulate	VERB
ejpam-6192	377	27	a	a	DET
ejpam-6192	377	28	severe	severe	ADJ
ejpam-6192	377	29	scratch	scratch	NOUN
ejpam-6192	377	30	.	.	PUNCT
ejpam-6192	378	1	(	(	PUNCT
ejpam-6192	378	2	a)–(b	a)–(b	X
ejpam-6192	378	3	):	):	PUNCT
ejpam-6192	378	4	reconstructions	reconstruction	NOUN
ejpam-6192	378	5	using	use	VERB
ejpam-6192	378	6	the	the	DET
ejpam-6192	378	7	proposed	propose	VERB
ejpam-6192	378	8	lbm	lbm	NOUN
ejpam-6192	378	9	method	method	NOUN
ejpam-6192	378	10	with	with	ADP
ejpam-6192	378	11	d2q5	d2q5	PROPN
ejpam-6192	378	12	and	and	CCONJ
ejpam-6192	378	13	d2q9	d2q9	NOUN
ejpam-6192	378	14	lattices	lattice	NOUN
ejpam-6192	378	15	;	;	PUNCT
ejpam-6192	378	16	(	(	PUNCT
ejpam-6192	378	17	c)–(d	c)–(d	NOUN
ejpam-6192	378	18	):	):	PUNCT
ejpam-6192	378	19	results	result	NOUN
ejpam-6192	378	20	from	from	ADP
ejpam-6192	378	21	bscb	bscb	PROPN
ejpam-6192	378	22	and	and	CCONJ
ejpam-6192	378	23	tvbased	tvbased	ADJ
ejpam-6192	378	24	techniques	technique	NOUN
ejpam-6192	378	25	.	.	PUNCT
ejpam-6192	379	1	lbm	lbm	NOUN
ejpam-6192	379	2	approaches	approach	NOUN
ejpam-6192	379	3	,	,	PUNCT
ejpam-6192	379	4	especially	especially	ADV
ejpam-6192	379	5	d2q9	d2q9	NOUN
ejpam-6192	379	6	,	,	PUNCT
ejpam-6192	379	7	exhibit	exhibit	VERB
ejpam-6192	379	8	superior	superior	ADJ
ejpam-6192	379	9	capability	capability	NOUN
ejpam-6192	379	10	in	in	ADP
ejpam-6192	379	11	restoring	restore	VERB
ejpam-6192	379	12	textures	texture	NOUN
ejpam-6192	379	13	and	and	CCONJ
ejpam-6192	379	14	curved	curved	ADJ
ejpam-6192	379	15	contours	contours	NOUN
ejpam-6192	379	16	with	with	ADP
ejpam-6192	379	17	minimal	minimal	ADJ
ejpam-6192	379	18	artifacts	artifact	NOUN
ejpam-6192	379	19	.	.	PUNCT
ejpam-6192	380	1	y.	y.	PROPN
ejpam-6192	380	2	douich	douich	PROPN
ejpam-6192	380	3	et	et	PROPN
ejpam-6192	380	4	al	al	PROPN
ejpam-6192	380	5	.	.	PUNCT
ejpam-6192	380	6	/	/	SYM
ejpam-6192	380	7	eur	eur	PROPN
ejpam-6192	380	8	.	.	PUNCT
ejpam-6192	381	1	j.	j.	PROPN
ejpam-6192	381	2	pure	pure	PROPN
ejpam-6192	381	3	appl	appl	PROPN
ejpam-6192	381	4	.	.	PROPN
ejpam-6192	381	5	math	math	PROPN
ejpam-6192	381	6	,	,	PUNCT
ejpam-6192	381	7	18	18	NUM
ejpam-6192	381	8	(	(	PUNCT
ejpam-6192	381	9	3	3	NUM
ejpam-6192	381	10	)	)	PUNCT
ejpam-6192	381	11	(	(	PUNCT
ejpam-6192	381	12	2025	2025	NUM
ejpam-6192	381	13	)	)	PUNCT
ejpam-6192	381	14	,	,	PUNCT
ejpam-6192	381	15	6192	6192	NUM
ejpam-6192	381	16	24	24	NUM
ejpam-6192	381	17	of	of	ADP
ejpam-6192	381	18	32	32	NUM
ejpam-6192	381	19	(	(	PUNCT
ejpam-6192	381	20	a	a	NOUN
ejpam-6192	381	21	)	)	PUNCT
ejpam-6192	381	22	lbm	lbm	NOUN
ejpam-6192	381	23	-	-	PUNCT
ejpam-6192	381	24	d2q5(α	d2q5(α	NOUN
ejpam-6192	381	25	=	=	SYM
ejpam-6192	381	26	0.44	0.44	NUM
ejpam-6192	381	27	and	and	CCONJ
ejpam-6192	381	28	ν	ν	X
ejpam-6192	381	29	=	=	SYM
ejpam-6192	381	30	2	2	NUM
ejpam-6192	381	31	)	)	PUNCT
ejpam-6192	381	32	(	(	PUNCT
ejpam-6192	381	33	b	b	X
ejpam-6192	381	34	)	)	PUNCT
ejpam-6192	381	35	lbm	lbm	PROPN
ejpam-6192	381	36	-	-	ADJ
ejpam-6192	381	37	d2q9(α	d2q9(α	X
ejpam-6192	381	38	=	=	NOUN
ejpam-6192	381	39	0.23	0.23	NUM
ejpam-6192	381	40	and	and	CCONJ
ejpam-6192	381	41	ν	ν	X
ejpam-6192	381	42	=	=	SYM
ejpam-6192	381	43	3	3	NUM
ejpam-6192	381	44	)	)	PUNCT
ejpam-6192	381	45	(	(	PUNCT
ejpam-6192	381	46	c	c	X
ejpam-6192	381	47	)	)	PUNCT
ejpam-6192	381	48	bscb	bscb	NOUN
ejpam-6192	381	49	method	method	NOUN
ejpam-6192	381	50	:	:	PUNCT
ejpam-6192	381	51	∆t	∆t	PROPN
ejpam-6192	381	52	=	=	SYM
ejpam-6192	381	53	0.5	0.5	NUM
ejpam-6192	381	54	(	(	PUNCT
ejpam-6192	381	55	d	d	NOUN
ejpam-6192	381	56	)	)	PUNCT
ejpam-6192	381	57	tv	tv	NOUN
ejpam-6192	381	58	regularization	regularization	NOUN
ejpam-6192	381	59	:	:	PUNCT
ejpam-6192	381	60	∆t	∆t	PROPN
ejpam-6192	381	61	=	=	SYM
ejpam-6192	381	62	1	1	NUM
ejpam-6192	381	63	and	and	CCONJ
ejpam-6192	381	64	ϵ	ϵ	X
ejpam-6192	381	65	=	=	NOUN
ejpam-6192	381	66	0.01	0.01	NUM
ejpam-6192	381	67	figure	figure	NOUN
ejpam-6192	381	68	8	8	NUM
ejpam-6192	381	69	:	:	PUNCT
ejpam-6192	381	70	object	object	VERB
ejpam-6192	381	71	removal	removal	NOUN
ejpam-6192	381	72	results	result	NOUN
ejpam-6192	381	73	on	on	ADP
ejpam-6192	381	74	the	the	DET
ejpam-6192	381	75	el	el	PROPN
ejpam-6192	381	76	jadida	jadida	PROPN
ejpam-6192	381	77	city	city	PROPN
ejpam-6192	381	78	colour	colour	NOUN
ejpam-6192	381	79	image	image	NOUN
ejpam-6192	381	80	.	.	PUNCT
ejpam-6192	382	1	a	a	DET
ejpam-6192	382	2	building	building	NOUN
ejpam-6192	382	3	structure	structure	NOUN
ejpam-6192	382	4	was	be	AUX
ejpam-6192	382	5	manually	manually	ADV
ejpam-6192	382	6	masked	mask	VERB
ejpam-6192	382	7	to	to	PART
ejpam-6192	382	8	simulate	simulate	VERB
ejpam-6192	382	9	a	a	DET
ejpam-6192	382	10	missing	miss	VERB
ejpam-6192	382	11	region	region	NOUN
ejpam-6192	382	12	.	.	PUNCT
ejpam-6192	383	1	(	(	PUNCT
ejpam-6192	383	2	a)–(b	a)–(b	X
ejpam-6192	383	3	):	):	PUNCT
ejpam-6192	383	4	inpainting	inpainte	VERB
ejpam-6192	383	5	results	result	NOUN
ejpam-6192	383	6	using	use	VERB
ejpam-6192	383	7	the	the	DET
ejpam-6192	383	8	proposed	propose	VERB
ejpam-6192	383	9	lbm	lbm	NOUN
ejpam-6192	383	10	method	method	NOUN
ejpam-6192	383	11	with	with	ADP
ejpam-6192	383	12	d2q5	d2q5	PROPN
ejpam-6192	383	13	and	and	CCONJ
ejpam-6192	383	14	d2q9	d2q9	NOUN
ejpam-6192	383	15	lattices	lattice	NOUN
ejpam-6192	383	16	.	.	PUNCT
ejpam-6192	384	1	(	(	PUNCT
ejpam-6192	384	2	c	c	X
ejpam-6192	384	3	):	):	PUNCT
ejpam-6192	384	4	bscb	bscb	NOUN
ejpam-6192	384	5	method	method	NOUN
ejpam-6192	384	6	;	;	PUNCT
ejpam-6192	384	7	(	(	PUNCT
ejpam-6192	384	8	d	d	X
ejpam-6192	384	9	):	):	PUNCT
ejpam-6192	384	10	total	total	ADJ
ejpam-6192	384	11	variation	variation	NOUN
ejpam-6192	384	12	(	(	PUNCT
ejpam-6192	384	13	tv	tv	NOUN
ejpam-6192	384	14	)	)	PUNCT
ejpam-6192	384	15	regularisation	regularisation	NOUN
ejpam-6192	384	16	.	.	PUNCT
ejpam-6192	385	1	the	the	DET
ejpam-6192	385	2	lbm	lbm	NOUN
ejpam-6192	385	3	approaches	approach	NOUN
ejpam-6192	385	4	achieve	achieve	VERB
ejpam-6192	385	5	structurally	structurally	ADV
ejpam-6192	385	6	consistent	consistent	ADJ
ejpam-6192	385	7	and	and	CCONJ
ejpam-6192	385	8	visually	visually	ADV
ejpam-6192	385	9	plausible	plausible	ADJ
ejpam-6192	385	10	restorations	restoration	NOUN
ejpam-6192	385	11	,	,	PUNCT
ejpam-6192	385	12	particularly	particularly	ADV
ejpam-6192	385	13	in	in	ADP
ejpam-6192	385	14	complex	complex	ADJ
ejpam-6192	385	15	regions	region	NOUN
ejpam-6192	385	16	such	such	ADJ
ejpam-6192	385	17	as	as	ADP
ejpam-6192	385	18	architectural	architectural	ADJ
ejpam-6192	385	19	lines	line	NOUN
ejpam-6192	385	20	and	and	CCONJ
ejpam-6192	385	21	sky	sky	NOUN
ejpam-6192	385	22	gradients	gradient	NOUN
ejpam-6192	385	23	.	.	PUNCT
ejpam-6192	386	1	y.	y.	PROPN
ejpam-6192	386	2	douich	douich	PROPN
ejpam-6192	386	3	et	et	PROPN
ejpam-6192	386	4	al	al	PROPN
ejpam-6192	386	5	.	.	PUNCT
ejpam-6192	386	6	/	/	SYM
ejpam-6192	386	7	eur	eur	PROPN
ejpam-6192	386	8	.	.	PUNCT
ejpam-6192	387	1	j.	j.	PROPN
ejpam-6192	387	2	pure	pure	PROPN
ejpam-6192	387	3	appl	appl	PROPN
ejpam-6192	387	4	.	.	PROPN
ejpam-6192	387	5	math	math	PROPN
ejpam-6192	387	6	,	,	PUNCT
ejpam-6192	387	7	18	18	NUM
ejpam-6192	387	8	(	(	PUNCT
ejpam-6192	387	9	3	3	NUM
ejpam-6192	387	10	)	)	PUNCT
ejpam-6192	387	11	(	(	PUNCT
ejpam-6192	387	12	2025	2025	NUM
ejpam-6192	387	13	)	)	PUNCT
ejpam-6192	387	14	,	,	PUNCT
ejpam-6192	387	15	6192	6192	NUM
ejpam-6192	387	16	25	25	NUM
ejpam-6192	387	17	of	of	ADP
ejpam-6192	387	18	32	32	NUM
ejpam-6192	387	19	(	(	PUNCT
ejpam-6192	387	20	a	a	NOUN
ejpam-6192	387	21	)	)	PUNCT
ejpam-6192	387	22	lbm	lbm	NOUN
ejpam-6192	387	23	-	-	PUNCT
ejpam-6192	387	24	d2q5	d2q5	ADJ
ejpam-6192	387	25	:	:	PUNCT
ejpam-6192	387	26	α	α	NOUN
ejpam-6192	387	27	=	=	NOUN
ejpam-6192	387	28	1.68	1.68	NUM
ejpam-6192	387	29	and	and	CCONJ
ejpam-6192	387	30	ν	ν	X
ejpam-6192	387	31	=	=	SYM
ejpam-6192	387	32	0.5	0.5	NUM
ejpam-6192	387	33	(	(	PUNCT
ejpam-6192	387	34	b	b	NOUN
ejpam-6192	387	35	)	)	PUNCT
ejpam-6192	387	36	lbm	lbm	NOUN
ejpam-6192	387	37	-	-	PUNCT
ejpam-6192	387	38	d2q9	d2q9	NOUN
ejpam-6192	387	39	:	:	PUNCT
ejpam-6192	387	40	α	α	NOUN
ejpam-6192	387	41	=	=	PUNCT
ejpam-6192	387	42	0.8	0.8	NUM
ejpam-6192	387	43	and	and	CCONJ
ejpam-6192	387	44	ν	ν	X
ejpam-6192	387	45	=	=	SYM
ejpam-6192	387	46	2.5	2.5	NUM
ejpam-6192	387	47	(	(	PUNCT
ejpam-6192	387	48	c	c	NOUN
ejpam-6192	387	49	)	)	PUNCT
ejpam-6192	387	50	bscb	bscb	NOUN
ejpam-6192	387	51	method	method	NOUN
ejpam-6192	387	52	with	with	ADP
ejpam-6192	387	53	∆t	∆t	PROPN
ejpam-6192	387	54	=	=	SYM
ejpam-6192	387	55	0.1	0.1	NUM
ejpam-6192	387	56	(	(	PUNCT
ejpam-6192	387	57	d	d	NOUN
ejpam-6192	387	58	)	)	PUNCT
ejpam-6192	387	59	tv	tv	NOUN
ejpam-6192	387	60	regularization	regularization	NOUN
ejpam-6192	387	61	:	:	PUNCT
ejpam-6192	388	1	ϵ	ϵ	X
ejpam-6192	388	2	=	=	PUNCT
ejpam-6192	388	3	0.01	0.01	NUM
ejpam-6192	388	4	and	and	CCONJ
ejpam-6192	388	5	∆t	∆t	PROPN
ejpam-6192	388	6	=	=	SYM
ejpam-6192	388	7	0.5	0.5	NUM
ejpam-6192	388	8	figure	figure	NOUN
ejpam-6192	388	9	9	9	NUM
ejpam-6192	388	10	:	:	PUNCT
ejpam-6192	388	11	inpainting	inpainte	VERB
ejpam-6192	388	12	results	result	NOUN
ejpam-6192	388	13	for	for	ADP
ejpam-6192	388	14	the	the	DET
ejpam-6192	388	15	boat	boat	NOUN
ejpam-6192	388	16	color	color	NOUN
ejpam-6192	388	17	image	image	NOUN
ejpam-6192	388	18	corrupted	corrupt	VERB
ejpam-6192	388	19	by	by	ADP
ejpam-6192	388	20	a	a	DET
ejpam-6192	388	21	red	red	ADJ
ejpam-6192	388	22	-	-	PUNCT
ejpam-6192	388	23	colored	colored	ADJ
ejpam-6192	388	24	line	line	NOUN
ejpam-6192	388	25	simulating	simulate	VERB
ejpam-6192	388	26	a	a	DET
ejpam-6192	388	27	structural	structural	ADJ
ejpam-6192	388	28	defect	defect	NOUN
ejpam-6192	388	29	.	.	PUNCT
ejpam-6192	389	1	(	(	PUNCT
ejpam-6192	389	2	a)–(b	a)–(b	X
ejpam-6192	389	3	):	):	PUNCT
ejpam-6192	389	4	reconstructions	reconstruction	NOUN
ejpam-6192	389	5	using	use	VERB
ejpam-6192	389	6	the	the	DET
ejpam-6192	389	7	proposed	propose	VERB
ejpam-6192	389	8	lbm	lbm	NOUN
ejpam-6192	389	9	method	method	NOUN
ejpam-6192	389	10	with	with	ADP
ejpam-6192	389	11	d2q5	d2q5	PROPN
ejpam-6192	389	12	and	and	CCONJ
ejpam-6192	389	13	d2q9	d2q9	NOUN
ejpam-6192	389	14	lattice	lattice	NOUN
ejpam-6192	389	15	models	model	NOUN
ejpam-6192	389	16	,	,	PUNCT
ejpam-6192	389	17	respectively	respectively	ADV
ejpam-6192	389	18	.	.	PUNCT
ejpam-6192	390	1	(	(	PUNCT
ejpam-6192	390	2	c	c	X
ejpam-6192	390	3	):	):	PUNCT
ejpam-6192	390	4	result	result	NOUN
ejpam-6192	390	5	obtained	obtain	VERB
ejpam-6192	390	6	using	use	VERB
ejpam-6192	390	7	the	the	DET
ejpam-6192	390	8	bscb	bscb	ADJ
ejpam-6192	390	9	algorithm	algorithm	NOUN
ejpam-6192	390	10	.	.	PUNCT
ejpam-6192	391	1	(	(	PUNCT
ejpam-6192	391	2	d	d	NOUN
ejpam-6192	391	3	):	):	PUNCT
ejpam-6192	391	4	output	output	NOUN
ejpam-6192	391	5	from	from	ADP
ejpam-6192	391	6	the	the	DET
ejpam-6192	391	7	tv	tv	NOUN
ejpam-6192	391	8	regularization	regularization	NOUN
ejpam-6192	391	9	method	method	NOUN
ejpam-6192	391	10	.	.	PUNCT
ejpam-6192	392	1	the	the	DET
ejpam-6192	392	2	lbm	lbm	PROPN
ejpam-6192	392	3	-	-	ADJ
ejpam-6192	392	4	d2q5	d2q5	ADJ
ejpam-6192	392	5	model	model	NOUN
ejpam-6192	392	6	achieves	achieve	VERB
ejpam-6192	392	7	the	the	DET
ejpam-6192	392	8	highest	high	ADJ
ejpam-6192	392	9	psnr	psnr	NOUN
ejpam-6192	392	10	,	,	PUNCT
ejpam-6192	392	11	effectively	effectively	ADV
ejpam-6192	392	12	restoring	restore	VERB
ejpam-6192	392	13	fine	fine	ADJ
ejpam-6192	392	14	details	detail	NOUN
ejpam-6192	392	15	and	and	CCONJ
ejpam-6192	392	16	textures	texture	NOUN
ejpam-6192	392	17	with	with	ADP
ejpam-6192	392	18	minimal	minimal	ADJ
ejpam-6192	392	19	artifacts	artifact	NOUN
ejpam-6192	392	20	and	and	CCONJ
ejpam-6192	392	21	significantly	significantly	ADV
ejpam-6192	392	22	lower	low	ADJ
ejpam-6192	392	23	computation	computation	NOUN
ejpam-6192	392	24	time	time	NOUN
ejpam-6192	392	25	compared	compare	VERB
ejpam-6192	392	26	to	to	ADP
ejpam-6192	392	27	classical	classical	ADJ
ejpam-6192	392	28	approaches	approach	NOUN
ejpam-6192	392	29	.	.	PUNCT
ejpam-6192	393	1	y.	y.	PROPN
ejpam-6192	393	2	douich	douich	PROPN
ejpam-6192	393	3	et	et	PROPN
ejpam-6192	393	4	al	al	PROPN
ejpam-6192	393	5	.	.	PUNCT
ejpam-6192	393	6	/	/	SYM
ejpam-6192	393	7	eur	eur	PROPN
ejpam-6192	393	8	.	.	PUNCT
ejpam-6192	394	1	j.	j.	PROPN
ejpam-6192	394	2	pure	pure	PROPN
ejpam-6192	394	3	appl	appl	PROPN
ejpam-6192	394	4	.	.	PROPN
ejpam-6192	394	5	math	math	PROPN
ejpam-6192	394	6	,	,	PUNCT
ejpam-6192	394	7	18	18	NUM
ejpam-6192	394	8	(	(	PUNCT
ejpam-6192	394	9	3	3	NUM
ejpam-6192	394	10	)	)	PUNCT
ejpam-6192	394	11	(	(	PUNCT
ejpam-6192	394	12	2025	2025	NUM
ejpam-6192	394	13	)	)	PUNCT
ejpam-6192	394	14	,	,	PUNCT
ejpam-6192	394	15	6192	6192	NUM
ejpam-6192	394	16	26	26	NUM
ejpam-6192	394	17	of	of	ADP
ejpam-6192	394	18	32	32	NUM
ejpam-6192	394	19	(	(	PUNCT
ejpam-6192	394	20	a	a	NOUN
ejpam-6192	394	21	)	)	PUNCT
ejpam-6192	394	22	lbm	lbm	NOUN
ejpam-6192	394	23	-	-	PUNCT
ejpam-6192	394	24	d2q5	d2q5	NOUN
ejpam-6192	394	25	:	:	PUNCT
ejpam-6192	394	26	α	α	NOUN
ejpam-6192	394	27	=	=	SYM
ejpam-6192	394	28	0.48	0.48	NUM
ejpam-6192	394	29	and	and	CCONJ
ejpam-6192	394	30	ν	ν	X
ejpam-6192	394	31	=	=	SYM
ejpam-6192	394	32	1	1	NUM
ejpam-6192	394	33	(	(	PUNCT
ejpam-6192	394	34	b	b	NOUN
ejpam-6192	394	35	)	)	PUNCT
ejpam-6192	394	36	lbm	lbm	NOUN
ejpam-6192	394	37	-	-	PUNCT
ejpam-6192	394	38	d2q9	d2q9	NOUN
ejpam-6192	394	39	:	:	PUNCT
ejpam-6192	394	40	α	α	X
ejpam-6192	394	41	=	=	SYM
ejpam-6192	394	42	0.13	0.13	NUM
ejpam-6192	394	43	and	and	CCONJ
ejpam-6192	394	44	ν	ν	X
ejpam-6192	394	45	=	=	SYM
ejpam-6192	394	46	2	2	NUM
ejpam-6192	394	47	(	(	PUNCT
ejpam-6192	394	48	c	c	NOUN
ejpam-6192	394	49	)	)	PUNCT
ejpam-6192	394	50	bscb	bscb	NOUN
ejpam-6192	394	51	method	method	NOUN
ejpam-6192	394	52	:	:	PUNCT
ejpam-6192	394	53	∆t	∆t	PROPN
ejpam-6192	394	54	=	=	SYM
ejpam-6192	394	55	0.5	0.5	NUM
ejpam-6192	394	56	(	(	PUNCT
ejpam-6192	394	57	d	d	NOUN
ejpam-6192	394	58	)	)	PUNCT
ejpam-6192	394	59	tv	tv	NOUN
ejpam-6192	394	60	regularization	regularization	NOUN
ejpam-6192	394	61	:	:	PUNCT
ejpam-6192	395	1	ϵ	ϵ	X
ejpam-6192	395	2	=	=	PUNCT
ejpam-6192	395	3	0.01	0.01	NUM
ejpam-6192	395	4	and	and	CCONJ
ejpam-6192	395	5	∆t	∆t	PROPN
ejpam-6192	395	6	=	=	SYM
ejpam-6192	395	7	0.5	0.5	NUM
ejpam-6192	395	8	figure	figure	NOUN
ejpam-6192	395	9	10	10	NUM
ejpam-6192	395	10	:	:	PUNCT
ejpam-6192	395	11	object	object	VERB
ejpam-6192	395	12	removal	removal	NOUN
ejpam-6192	395	13	results	result	NOUN
ejpam-6192	395	14	on	on	ADP
ejpam-6192	395	15	the	the	DET
ejpam-6192	395	16	bridge	bridge	NOUN
ejpam-6192	395	17	colour	colour	NOUN
ejpam-6192	395	18	image	image	NOUN
ejpam-6192	395	19	.	.	PUNCT
ejpam-6192	396	1	a	a	DET
ejpam-6192	396	2	structural	structural	ADJ
ejpam-6192	396	3	component	component	NOUN
ejpam-6192	396	4	was	be	AUX
ejpam-6192	396	5	manually	manually	ADV
ejpam-6192	396	6	masked	mask	VERB
ejpam-6192	396	7	to	to	PART
ejpam-6192	396	8	simulate	simulate	VERB
ejpam-6192	396	9	a	a	DET
ejpam-6192	396	10	missing	miss	VERB
ejpam-6192	396	11	region	region	NOUN
ejpam-6192	396	12	.	.	PUNCT
ejpam-6192	397	1	(	(	PUNCT
ejpam-6192	397	2	a)–(b	a)–(b	X
ejpam-6192	397	3	):	):	PUNCT
ejpam-6192	397	4	inpainting	inpainte	VERB
ejpam-6192	397	5	results	result	NOUN
ejpam-6192	397	6	using	use	VERB
ejpam-6192	397	7	the	the	DET
ejpam-6192	397	8	proposed	propose	VERB
ejpam-6192	397	9	lbm	lbm	PROPN
ejpam-6192	397	10	algorithm	algorithm	NOUN
ejpam-6192	397	11	with	with	ADP
ejpam-6192	397	12	d2q5	d2q5	PROPN
ejpam-6192	397	13	and	and	CCONJ
ejpam-6192	397	14	d2q9	d2q9	NOUN
ejpam-6192	397	15	lattice	lattice	NOUN
ejpam-6192	397	16	models	model	NOUN
ejpam-6192	397	17	.	.	PUNCT
ejpam-6192	398	1	(	(	PUNCT
ejpam-6192	398	2	c	c	X
ejpam-6192	398	3	):	):	PUNCT
ejpam-6192	398	4	bscb	bscb	NOUN
ejpam-6192	398	5	method	method	NOUN
ejpam-6192	398	6	;	;	PUNCT
ejpam-6192	398	7	(	(	PUNCT
ejpam-6192	398	8	d	d	X
ejpam-6192	398	9	):	):	PUNCT
ejpam-6192	398	10	total	total	ADJ
ejpam-6192	398	11	variation	variation	NOUN
ejpam-6192	398	12	(	(	PUNCT
ejpam-6192	398	13	tv	tv	NOUN
ejpam-6192	398	14	)	)	PUNCT
ejpam-6192	398	15	regularisation	regularisation	NOUN
ejpam-6192	398	16	.	.	PUNCT
ejpam-6192	399	1	the	the	DET
ejpam-6192	399	2	lbm	lbm	NOUN
ejpam-6192	399	3	-	-	PUNCT
ejpam-6192	399	4	based	base	VERB
ejpam-6192	399	5	approaches	approach	NOUN
ejpam-6192	399	6	effectively	effectively	ADV
ejpam-6192	399	7	restore	restore	VERB
ejpam-6192	399	8	fine	fine	ADJ
ejpam-6192	399	9	contours	contours	NOUN
ejpam-6192	399	10	and	and	CCONJ
ejpam-6192	399	11	background	background	NOUN
ejpam-6192	399	12	textures	texture	NOUN
ejpam-6192	399	13	,	,	PUNCT
ejpam-6192	399	14	yielding	yield	VERB
ejpam-6192	399	15	more	more	ADJ
ejpam-6192	399	16	visually	visually	ADV
ejpam-6192	399	17	coherent	coherent	ADJ
ejpam-6192	399	18	reconstructions	reconstruction	NOUN
ejpam-6192	399	19	than	than	ADP
ejpam-6192	399	20	classical	classical	ADJ
ejpam-6192	399	21	methods	method	NOUN
ejpam-6192	399	22	.	.	PUNCT
ejpam-6192	400	1	the	the	DET
ejpam-6192	400	2	results	result	NOUN
ejpam-6192	400	3	in	in	ADP
ejpam-6192	400	4	tables	table	NOUN
ejpam-6192	400	5	4	4	NUM
ejpam-6192	400	6	and	and	CCONJ
ejpam-6192	400	7	5	5	NUM
ejpam-6192	400	8	demonstrate	demonstrate	VERB
ejpam-6192	400	9	the	the	DET
ejpam-6192	400	10	superior	superior	ADJ
ejpam-6192	400	11	performance	performance	NOUN
ejpam-6192	400	12	of	of	ADP
ejpam-6192	400	13	the	the	DET
ejpam-6192	400	14	lattice	lattice	PROPN
ejpam-6192	400	15	boltzmann	boltzmann	PROPN
ejpam-6192	400	16	method	method	PROPN
ejpam-6192	400	17	(	(	PUNCT
ejpam-6192	400	18	lbm	lbm	PROPN
ejpam-6192	400	19	)	)	PUNCT
ejpam-6192	400	20	compared	compare	VERB
ejpam-6192	400	21	to	to	ADP
ejpam-6192	400	22	traditional	traditional	ADJ
ejpam-6192	400	23	methods	method	NOUN
ejpam-6192	400	24	like	like	ADP
ejpam-6192	400	25	total	total	ADJ
ejpam-6192	400	26	variation	variation	NOUN
ejpam-6192	400	27	regularisation	regularisation	NOUN
ejpam-6192	400	28	(	(	PUNCT
ejpam-6192	400	29	tv	tv	NOUN
ejpam-6192	400	30	reg	reg	NOUN
ejpam-6192	400	31	)	)	PUNCT
ejpam-6192	400	32	and	and	CCONJ
ejpam-6192	400	33	the	the	DET
ejpam-6192	400	34	bertalmio	bertalmio	NOUN
ejpam-6192	400	35	-	-	PUNCT
ejpam-6192	400	36	sapiro	sapiro	NOUN
ejpam-6192	400	37	-	-	PUNCT
ejpam-6192	400	38	caselles	caselle	NOUN
ejpam-6192	400	39	-	-	PUNCT
ejpam-6192	400	40	ballaster	ballaster	NOUN
ejpam-6192	400	41	(	(	PUNCT
ejpam-6192	400	42	bscb	bscb	ADJ
ejpam-6192	400	43	)	)	PUNCT
ejpam-6192	400	44	algorithm	algorithm	NOUN
ejpam-6192	400	45	.	.	PUNCT
ejpam-6192	401	1	for	for	ADP
ejpam-6192	401	2	grayscale	grayscale	NOUN
ejpam-6192	401	3	images	image	NOUN
ejpam-6192	401	4	,	,	PUNCT
ejpam-6192	401	5	lbm	lbm	PROPN
ejpam-6192	401	6	achieved	achieve	VERB
ejpam-6192	401	7	comparable	comparable	ADJ
ejpam-6192	401	8	or	or	CCONJ
ejpam-6192	401	9	slightly	slightly	ADV
ejpam-6192	401	10	better	well	ADJ
ejpam-6192	401	11	psnr	psnr	NOUN
ejpam-6192	401	12	and	and	CCONJ
ejpam-6192	401	13	ssim	ssim	NOUN
ejpam-6192	401	14	values	value	NOUN
ejpam-6192	401	15	while	while	SCONJ
ejpam-6192	401	16	significantly	significantly	ADV
ejpam-6192	401	17	reducing	reduce	VERB
ejpam-6192	401	18	computational	computational	ADJ
ejpam-6192	401	19	time	time	NOUN
ejpam-6192	401	20	.	.	PUNCT
ejpam-6192	402	1	for	for	ADP
ejpam-6192	402	2	instance	instance	NOUN
ejpam-6192	402	3	,	,	PUNCT
ejpam-6192	402	4	the	the	DET
ejpam-6192	402	5	cameraman	cameraman	ADJ
ejpam-6192	402	6	image	image	NOUN
ejpam-6192	402	7	processed	process	VERB
ejpam-6192	402	8	with	with	ADP
ejpam-6192	402	9	the	the	DET
ejpam-6192	402	10	lbm	lbm	PROPN
ejpam-6192	402	11	-	-	PUNCT
ejpam-6192	402	12	d2q5	d2q5	ADJ
ejpam-6192	402	13	model	model	NOUN
ejpam-6192	402	14	achieved	achieve	VERB
ejpam-6192	402	15	a	a	DET
ejpam-6192	402	16	psnr	psnr	NOUN
ejpam-6192	402	17	of	of	ADP
ejpam-6192	402	18	25.30	25.30	NUM
ejpam-6192	402	19	db	db	PROPN
ejpam-6192	402	20	in	in	ADP
ejpam-6192	402	21	just	just	ADV
ejpam-6192	402	22	0.93	0.93	NUM
ejpam-6192	402	23	minutes	minute	NOUN
ejpam-6192	402	24	,	,	PUNCT
ejpam-6192	402	25	y.	y.	PROPN
ejpam-6192	402	26	douich	douich	PROPN
ejpam-6192	402	27	et	et	PROPN
ejpam-6192	402	28	al	al	PROPN
ejpam-6192	402	29	.	.	PUNCT
ejpam-6192	402	30	/	/	SYM
ejpam-6192	402	31	eur	eur	PROPN
ejpam-6192	402	32	.	.	PUNCT
ejpam-6192	403	1	j.	j.	PROPN
ejpam-6192	403	2	pure	pure	PROPN
ejpam-6192	403	3	appl	appl	PROPN
ejpam-6192	403	4	.	.	PROPN
ejpam-6192	403	5	math	math	PROPN
ejpam-6192	403	6	,	,	PUNCT
ejpam-6192	403	7	18	18	NUM
ejpam-6192	403	8	(	(	PUNCT
ejpam-6192	403	9	3	3	NUM
ejpam-6192	403	10	)	)	PUNCT
ejpam-6192	403	11	(	(	PUNCT
ejpam-6192	403	12	2025	2025	NUM
ejpam-6192	403	13	)	)	PUNCT
ejpam-6192	403	14	,	,	PUNCT
ejpam-6192	403	15	6192	6192	NUM
ejpam-6192	403	16	27	27	NUM
ejpam-6192	403	17	of	of	ADP
ejpam-6192	403	18	32	32	NUM
ejpam-6192	403	19	table	table	NOUN
ejpam-6192	403	20	4	4	NUM
ejpam-6192	403	21	:	:	PUNCT
ejpam-6192	403	22	quantitative	quantitative	ADJ
ejpam-6192	403	23	performance	performance	NOUN
ejpam-6192	403	24	comparison	comparison	NOUN
ejpam-6192	403	25	for	for	ADP
ejpam-6192	403	26	grayscale	grayscale	NOUN
ejpam-6192	403	27	image	image	NOUN
ejpam-6192	403	28	inpainting	inpainte	VERB
ejpam-6192	403	29	across	across	ADP
ejpam-6192	403	30	different	different	ADJ
ejpam-6192	403	31	methods	method	NOUN
ejpam-6192	403	32	.	.	PUNCT
ejpam-6192	404	1	metrics	metric	NOUN
ejpam-6192	404	2	include	include	VERB
ejpam-6192	404	3	psnr	psnr	NOUN
ejpam-6192	404	4	(	(	PUNCT
ejpam-6192	404	5	db	db	PROPN
ejpam-6192	404	6	)	)	PUNCT
ejpam-6192	404	7	,	,	PUNCT
ejpam-6192	404	8	ssim	ssim	NOUN
ejpam-6192	404	9	,	,	PUNCT
ejpam-6192	404	10	and	and	CCONJ
ejpam-6192	404	11	cpu	cpu	NOUN
ejpam-6192	404	12	time	time	NOUN
ejpam-6192	404	13	(	(	PUNCT
ejpam-6192	404	14	in	in	ADP
ejpam-6192	404	15	minutes	minute	NOUN
ejpam-6192	404	16	)	)	PUNCT
ejpam-6192	404	17	for	for	ADP
ejpam-6192	404	18	the	the	DET
ejpam-6192	404	19	cameraman	cameraman	NOUN
ejpam-6192	404	20	,	,	PUNCT
ejpam-6192	404	21	girlface	girlface	NOUN
ejpam-6192	404	22	,	,	PUNCT
ejpam-6192	404	23	and	and	CCONJ
ejpam-6192	404	24	clown	clown	NOUN
ejpam-6192	404	25	images	image	NOUN
ejpam-6192	404	26	.	.	PUNCT
ejpam-6192	405	1	the	the	DET
ejpam-6192	405	2	lbm	lbm	NOUN
ejpam-6192	405	3	-	-	PUNCT
ejpam-6192	405	4	based	base	VERB
ejpam-6192	405	5	approaches	approach	NOUN
ejpam-6192	405	6	(	(	PUNCT
ejpam-6192	405	7	d2q5	d2q5	X
ejpam-6192	405	8	and	and	CCONJ
ejpam-6192	405	9	d2q9	d2q9	NOUN
ejpam-6192	405	10	)	)	PUNCT
ejpam-6192	405	11	consistently	consistently	ADV
ejpam-6192	405	12	yield	yield	VERB
ejpam-6192	405	13	comparable	comparable	ADJ
ejpam-6192	405	14	or	or	CCONJ
ejpam-6192	405	15	superior	superior	ADJ
ejpam-6192	405	16	reconstruction	reconstruction	NOUN
ejpam-6192	405	17	quality	quality	NOUN
ejpam-6192	405	18	while	while	SCONJ
ejpam-6192	405	19	significantly	significantly	ADV
ejpam-6192	405	20	reducing	reduce	VERB
ejpam-6192	405	21	computational	computational	ADJ
ejpam-6192	405	22	cost	cost	NOUN
ejpam-6192	405	23	compared	compare	VERB
ejpam-6192	405	24	to	to	ADP
ejpam-6192	405	25	classical	classical	ADJ
ejpam-6192	405	26	methods	method	NOUN
ejpam-6192	405	27	(	(	PUNCT
ejpam-6192	405	28	tv	tv	NOUN
ejpam-6192	405	29	regularization	regularization	NOUN
ejpam-6192	405	30	and	and	CCONJ
ejpam-6192	405	31	bscb	bscb	NOUN
ejpam-6192	405	32	)	)	PUNCT
ejpam-6192	405	33	.	.	PUNCT
ejpam-6192	406	1	image	image	NOUN
ejpam-6192	406	2	method	method	PROPN
ejpam-6192	406	3	psnr	psnr	NOUN
ejpam-6192	406	4	(	(	PUNCT
ejpam-6192	406	5	db	db	NOUN
ejpam-6192	406	6	)	)	PUNCT
ejpam-6192	406	7	ssim	ssim	NOUN
ejpam-6192	406	8	cpu	cpu	NOUN
ejpam-6192	406	9	time	time	NOUN
ejpam-6192	406	10	(	(	PUNCT
ejpam-6192	406	11	min	min	NOUN
ejpam-6192	406	12	)	)	PUNCT
ejpam-6192	406	13	4*cameraman	4*cameraman	NOUN
ejpam-6192	406	14	tv	tv	NOUN
ejpam-6192	406	15	reg	reg	VERB
ejpam-6192	406	16	25.28	25.28	NUM
ejpam-6192	406	17	0.999	0.999	NUM
ejpam-6192	406	18	5.10	5.10	NUM
ejpam-6192	406	19	bscb	bscb	NOUN
ejpam-6192	406	20	25.27	25.27	NUM
ejpam-6192	406	21	0.999	0.999	NUM
ejpam-6192	406	22	5.54	5.54	NUM
ejpam-6192	406	23	lbm	lbm	PROPN
ejpam-6192	406	24	-	-	PUNCT
ejpam-6192	406	25	d2q5	d2q5	PROPN
ejpam-6192	406	26	25.30	25.30	NUM
ejpam-6192	406	27	0.999	0.999	NUM
ejpam-6192	406	28	0.93	0.93	NUM
ejpam-6192	406	29	lbm	lbm	PROPN
ejpam-6192	406	30	-	-	PUNCT
ejpam-6192	406	31	d2q9	d2q9	NOUN
ejpam-6192	406	32	25.31	25.31	NUM
ejpam-6192	406	33	0.999	0.999	NUM
ejpam-6192	406	34	1.21	1.21	NUM
ejpam-6192	406	35	4*girlface	4*girlface	NUM
ejpam-6192	406	36	tv	tv	NOUN
ejpam-6192	406	37	reg	reg	VERB
ejpam-6192	406	38	15.16	15.16	NUM
ejpam-6192	406	39	0.9996	0.9996	NUM
ejpam-6192	406	40	10.73	10.73	NUM
ejpam-6192	406	41	bscb	bscb	NOUN
ejpam-6192	406	42	15.12	15.12	NUM
ejpam-6192	406	43	0.9996	0.9996	NUM
ejpam-6192	406	44	9.31	9.31	NUM
ejpam-6192	406	45	lbm	lbm	PROPN
ejpam-6192	406	46	-	-	ADJ
ejpam-6192	406	47	d2q5	d2q5	PROPN
ejpam-6192	406	48	15.16	15.16	NUM
ejpam-6192	406	49	0.9996	0.9996	NUM
ejpam-6192	406	50	0.62	0.62	NUM
ejpam-6192	406	51	lbm	lbm	NOUN
ejpam-6192	406	52	-	-	PUNCT
ejpam-6192	406	53	d2q9	d2q9	NOUN
ejpam-6192	406	54	15.17	15.17	NUM
ejpam-6192	406	55	0.9996	0.9996	NUM
ejpam-6192	406	56	1.60	1.60	NUM
ejpam-6192	406	57	4*clown	4*clown	ADJ
ejpam-6192	406	58	tv	tv	NOUN
ejpam-6192	406	59	reg	reg	VERB
ejpam-6192	406	60	16.47	16.47	NUM
ejpam-6192	406	61	0.9995	0.9995	NUM
ejpam-6192	406	62	11.27	11.27	NUM
ejpam-6192	406	63	bscb	bscb	NOUN
ejpam-6192	407	1	16.36	16.36	NUM
ejpam-6192	407	2	0.9995	0.9995	NUM
ejpam-6192	407	3	16.76	16.76	NUM
ejpam-6192	407	4	lbm	lbm	PROPN
ejpam-6192	407	5	-	-	PUNCT
ejpam-6192	407	6	d2q5	d2q5	PROPN
ejpam-6192	407	7	16.48	16.48	NUM
ejpam-6192	407	8	0.9995	0.9995	NUM
ejpam-6192	407	9	0.64	0.64	NUM
ejpam-6192	407	10	lbm	lbm	NOUN
ejpam-6192	407	11	-	-	PUNCT
ejpam-6192	407	12	d2q9	d2q9	NOUN
ejpam-6192	407	13	16.48	16.48	NUM
ejpam-6192	407	14	0.9995	0.9995	NUM
ejpam-6192	407	15	1.12	1.12	NUM
ejpam-6192	407	16	compared	compare	VERB
ejpam-6192	407	17	to	to	ADP
ejpam-6192	407	18	over	over	ADP
ejpam-6192	407	19	5	5	NUM
ejpam-6192	407	20	minutes	minute	NOUN
ejpam-6192	407	21	for	for	ADP
ejpam-6192	407	22	both	both	DET
ejpam-6192	407	23	tv	tv	NOUN
ejpam-6192	407	24	reg	reg	NOUN
ejpam-6192	407	25	and	and	CCONJ
ejpam-6192	407	26	bscb	bscb	NOUN
ejpam-6192	407	27	.	.	PUNCT
ejpam-6192	408	1	this	this	DET
ejpam-6192	408	2	efficiency	efficiency	NOUN
ejpam-6192	408	3	was	be	AUX
ejpam-6192	408	4	also	also	ADV
ejpam-6192	408	5	evident	evident	ADJ
ejpam-6192	408	6	for	for	ADP
ejpam-6192	408	7	other	other	ADJ
ejpam-6192	408	8	images	image	NOUN
ejpam-6192	408	9	,	,	PUNCT
ejpam-6192	408	10	such	such	ADJ
ejpam-6192	408	11	as	as	ADP
ejpam-6192	408	12	girlface	girlface	NOUN
ejpam-6192	408	13	and	and	CCONJ
ejpam-6192	408	14	clown	clown	VERB
ejpam-6192	408	15	,	,	PUNCT
ejpam-6192	408	16	where	where	SCONJ
ejpam-6192	408	17	lbm	lbm	PROPN
ejpam-6192	408	18	consistently	consistently	ADV
ejpam-6192	408	19	delivered	deliver	VERB
ejpam-6192	408	20	high	high	ADJ
ejpam-6192	408	21	-	-	PUNCT
ejpam-6192	408	22	quality	quality	NOUN
ejpam-6192	408	23	inpainting	inpainting	ADJ
ejpam-6192	408	24	results	result	NOUN
ejpam-6192	408	25	in	in	ADP
ejpam-6192	408	26	a	a	DET
ejpam-6192	408	27	fraction	fraction	NOUN
ejpam-6192	408	28	of	of	ADP
ejpam-6192	408	29	the	the	DET
ejpam-6192	408	30	time	time	NOUN
ejpam-6192	408	31	required	require	VERB
ejpam-6192	408	32	by	by	ADP
ejpam-6192	408	33	classical	classical	ADJ
ejpam-6192	408	34	methods	method	NOUN
ejpam-6192	408	35	.	.	PUNCT
ejpam-6192	409	1	similarly	similarly	ADV
ejpam-6192	409	2	,	,	PUNCT
ejpam-6192	409	3	for	for	ADP
ejpam-6192	409	4	colour	colour	NOUN
ejpam-6192	409	5	images	image	NOUN
ejpam-6192	409	6	,	,	PUNCT
ejpam-6192	409	7	the	the	DET
ejpam-6192	409	8	lbm	lbm	PROPN
ejpam-6192	409	9	methods	method	NOUN
ejpam-6192	409	10	showcased	showcase	VERB
ejpam-6192	409	11	their	their	PRON
ejpam-6192	409	12	ability	ability	NOUN
ejpam-6192	409	13	to	to	PART
ejpam-6192	409	14	handle	handle	VERB
ejpam-6192	409	15	complex	complex	ADJ
ejpam-6192	409	16	inpainting	inpainting	ADJ
ejpam-6192	409	17	tasks	task	NOUN
ejpam-6192	409	18	efficiently	efficiently	ADV
ejpam-6192	409	19	.	.	PUNCT
ejpam-6192	410	1	the	the	DET
ejpam-6192	410	2	d2q5	d2q5	PROPN
ejpam-6192	410	3	model	model	NOUN
ejpam-6192	410	4	stood	stand	VERB
ejpam-6192	410	5	out	out	ADP
ejpam-6192	410	6	,	,	PUNCT
ejpam-6192	410	7	achieving	achieve	VERB
ejpam-6192	410	8	the	the	DET
ejpam-6192	410	9	highest	high	ADJ
ejpam-6192	410	10	psnr	psnr	NOUN
ejpam-6192	410	11	values	value	NOUN
ejpam-6192	410	12	with	with	ADP
ejpam-6192	410	13	the	the	DET
ejpam-6192	410	14	shortest	short	ADJ
ejpam-6192	410	15	processing	processing	NOUN
ejpam-6192	410	16	times	time	NOUN
ejpam-6192	410	17	.	.	PUNCT
ejpam-6192	411	1	for	for	ADP
ejpam-6192	411	2	example	example	NOUN
ejpam-6192	411	3	,	,	PUNCT
ejpam-6192	411	4	the	the	DET
ejpam-6192	411	5	boat	boat	NOUN
ejpam-6192	411	6	image	image	NOUN
ejpam-6192	411	7	inpainted	inpainte	VERB
ejpam-6192	411	8	with	with	ADP
ejpam-6192	411	9	lbm	lbm	PROPN
ejpam-6192	411	10	-	-	PUNCT
ejpam-6192	411	11	d2q5	d2q5	PROPN
ejpam-6192	411	12	reached	reach	VERB
ejpam-6192	411	13	a	a	DET
ejpam-6192	411	14	psnr	psnr	NOUN
ejpam-6192	411	15	of	of	ADP
ejpam-6192	411	16	37.31	37.31	NUM
ejpam-6192	411	17	db	db	NOUN
ejpam-6192	411	18	in	in	ADP
ejpam-6192	411	19	1.50	1.50	NUM
ejpam-6192	411	20	minutes	minute	NOUN
ejpam-6192	411	21	,	,	PUNCT
ejpam-6192	411	22	compared	compare	VERB
ejpam-6192	411	23	to	to	ADP
ejpam-6192	411	24	14.36	14.36	NUM
ejpam-6192	411	25	minutes	minute	NOUN
ejpam-6192	411	26	for	for	ADP
ejpam-6192	411	27	tv	tv	NOUN
ejpam-6192	411	28	reg	reg	NOUN
ejpam-6192	411	29	(	(	PUNCT
ejpam-6192	411	30	psnr	psnr	NOUN
ejpam-6192	411	31	:	:	PUNCT
ejpam-6192	411	32	35.25	35.25	NUM
ejpam-6192	411	33	db	db	NOUN
ejpam-6192	411	34	)	)	PUNCT
ejpam-6192	411	35	and	and	CCONJ
ejpam-6192	411	36	19.48	19.48	NUM
ejpam-6192	411	37	minutes	minute	NOUN
ejpam-6192	411	38	for	for	ADP
ejpam-6192	411	39	bscb	bscb	NOUN
ejpam-6192	411	40	(	(	PUNCT
ejpam-6192	411	41	psnr	psnr	NOUN
ejpam-6192	411	42	:	:	PUNCT
ejpam-6192	411	43	33.91	33.91	NUM
ejpam-6192	411	44	db	db	PROPN
ejpam-6192	411	45	)	)	PUNCT
ejpam-6192	411	46	.	.	PUNCT
ejpam-6192	412	1	the	the	DET
ejpam-6192	412	2	d2q9	d2q9	NOUN
ejpam-6192	412	3	model	model	NOUN
ejpam-6192	412	4	also	also	ADV
ejpam-6192	412	5	performed	perform	VERB
ejpam-6192	412	6	well	well	ADV
ejpam-6192	412	7	,	,	PUNCT
ejpam-6192	412	8	particularly	particularly	ADV
ejpam-6192	412	9	for	for	ADP
ejpam-6192	412	10	higher	high	ADJ
ejpam-6192	412	11	relaxation	relaxation	NOUN
ejpam-6192	412	12	times	time	NOUN
ejpam-6192	412	13	,	,	PUNCT
ejpam-6192	412	14	highlighting	highlight	VERB
ejpam-6192	412	15	the	the	DET
ejpam-6192	412	16	adaptability	adaptability	NOUN
ejpam-6192	412	17	of	of	ADP
ejpam-6192	412	18	lbm	lbm	PROPN
ejpam-6192	412	19	to	to	ADP
ejpam-6192	412	20	different	different	ADJ
ejpam-6192	412	21	conditions	condition	NOUN
ejpam-6192	412	22	.	.	PUNCT
ejpam-6192	413	1	these	these	DET
ejpam-6192	413	2	results	result	NOUN
ejpam-6192	413	3	confirm	confirm	VERB
ejpam-6192	413	4	lbm	lbm	PROPN
ejpam-6192	413	5	as	as	ADP
ejpam-6192	413	6	a	a	DET
ejpam-6192	413	7	robust	robust	ADJ
ejpam-6192	413	8	and	and	CCONJ
ejpam-6192	413	9	efficient	efficient	ADJ
ejpam-6192	413	10	approach	approach	NOUN
ejpam-6192	413	11	for	for	ADP
ejpam-6192	413	12	image	image	NOUN
ejpam-6192	413	13	inpainting	inpainting	NOUN
ejpam-6192	413	14	,	,	PUNCT
ejpam-6192	413	15	offering	offer	VERB
ejpam-6192	413	16	significant	significant	ADJ
ejpam-6192	413	17	improvements	improvement	NOUN
ejpam-6192	413	18	in	in	ADP
ejpam-6192	413	19	computational	computational	ADJ
ejpam-6192	413	20	speed	speed	NOUN
ejpam-6192	413	21	and	and	CCONJ
ejpam-6192	413	22	quality	quality	NOUN
ejpam-6192	413	23	over	over	ADP
ejpam-6192	413	24	traditional	traditional	ADJ
ejpam-6192	413	25	methods	method	NOUN
ejpam-6192	413	26	.	.	PUNCT
ejpam-6192	414	1	the	the	DET
ejpam-6192	414	2	figure	figure	NOUN
ejpam-6192	414	3	4	4	NUM
ejpam-6192	414	4	highlights	highlight	NOUN
ejpam-6192	414	5	the	the	DET
ejpam-6192	414	6	influence	influence	NOUN
ejpam-6192	414	7	of	of	ADP
ejpam-6192	414	8	the	the	DET
ejpam-6192	414	9	thermal	thermal	ADJ
ejpam-6192	414	10	diffusivity	diffusivity	NOUN
ejpam-6192	414	11	parameter	parameter	NOUN
ejpam-6192	414	12	α	α	PROPN
ejpam-6192	414	13	on	on	ADP
ejpam-6192	414	14	the	the	DET
ejpam-6192	414	15	temporal	temporal	ADJ
ejpam-6192	414	16	evolution	evolution	NOUN
ejpam-6192	414	17	of	of	ADP
ejpam-6192	414	18	psnr	psnr	NOUN
ejpam-6192	414	19	for	for	ADP
ejpam-6192	414	20	the	the	DET
ejpam-6192	414	21	”	"	PUNCT
ejpam-6192	414	22	girlface	girlface	NOUN
ejpam-6192	414	23	”	"	PUNCT
ejpam-6192	414	24	image	image	NOUN
ejpam-6192	414	25	over	over	ADP
ejpam-6192	414	26	100	100	NUM
ejpam-6192	414	27	iterations	iteration	NOUN
ejpam-6192	414	28	using	use	VERB
ejpam-6192	414	29	the	the	DET
ejpam-6192	414	30	lattice	lattice	NOUN
ejpam-6192	414	31	boltzmann	boltzmann	PROPN
ejpam-6192	414	32	method	method	PROPN
ejpam-6192	414	33	(	(	PUNCT
ejpam-6192	414	34	lbm	lbm	PROPN
ejpam-6192	414	35	)	)	PUNCT
ejpam-6192	414	36	.	.	PUNCT
ejpam-6192	415	1	smaller	small	ADJ
ejpam-6192	415	2	α	α	NOUN
ejpam-6192	415	3	values	value	NOUN
ejpam-6192	415	4	enable	enable	VERB
ejpam-6192	415	5	faster	fast	ADJ
ejpam-6192	415	6	convergence	convergence	NOUN
ejpam-6192	415	7	and	and	CCONJ
ejpam-6192	415	8	higher	high	ADJ
ejpam-6192	415	9	final	final	ADJ
ejpam-6192	415	10	psnr	psnr	NOUN
ejpam-6192	415	11	,	,	PUNCT
ejpam-6192	415	12	indicating	indicate	VERB
ejpam-6192	415	13	improved	improved	ADJ
ejpam-6192	415	14	inpainting	inpainte	VERB
ejpam-6192	415	15	quality	quality	NOUN
ejpam-6192	415	16	due	due	ADP
ejpam-6192	415	17	to	to	ADP
ejpam-6192	415	18	controlled	control	VERB
ejpam-6192	415	19	diffusion	diffusion	NOUN
ejpam-6192	415	20	that	that	PRON
ejpam-6192	415	21	preserves	preserve	VERB
ejpam-6192	415	22	image	image	NOUN
ejpam-6192	415	23	details	detail	NOUN
ejpam-6192	415	24	.	.	PUNCT
ejpam-6192	416	1	conversely	conversely	ADV
ejpam-6192	416	2	,	,	PUNCT
ejpam-6192	416	3	larger	large	ADJ
ejpam-6192	416	4	α	α	PROPN
ejpam-6192	416	5	values	value	NOUN
ejpam-6192	416	6	result	result	VERB
ejpam-6192	416	7	in	in	ADP
ejpam-6192	416	8	slower	slow	ADJ
ejpam-6192	416	9	convergence	convergence	NOUN
ejpam-6192	416	10	and	and	CCONJ
ejpam-6192	416	11	reduced	reduced	ADJ
ejpam-6192	416	12	inpainting	inpainting	ADJ
ejpam-6192	416	13	performance	performance	NOUN
ejpam-6192	416	14	,	,	PUNCT
ejpam-6192	416	15	likely	likely	ADJ
ejpam-6192	416	16	due	due	ADP
ejpam-6192	416	17	to	to	ADP
ejpam-6192	416	18	excessive	excessive	ADJ
ejpam-6192	416	19	smoothing	smoothing	NOUN
ejpam-6192	416	20	that	that	PRON
ejpam-6192	416	21	diminishes	diminish	VERB
ejpam-6192	416	22	image	image	NOUN
ejpam-6192	416	23	fidelity	fidelity	NOUN
ejpam-6192	416	24	.	.	PUNCT
ejpam-6192	417	1	this	this	PRON
ejpam-6192	417	2	underscores	underscore	VERB
ejpam-6192	417	3	the	the	DET
ejpam-6192	417	4	importance	importance	NOUN
ejpam-6192	417	5	of	of	ADP
ejpam-6192	417	6	optimising	optimise	VERB
ejpam-6192	417	7	α	α	NOUN
ejpam-6192	417	8	for	for	ADP
ejpam-6192	417	9	achieving	achieve	VERB
ejpam-6192	417	10	high	high	ADJ
ejpam-6192	417	11	-	-	PUNCT
ejpam-6192	417	12	quality	quality	NOUN
ejpam-6192	417	13	inpainting	inpainting	ADJ
ejpam-6192	417	14	results	result	NOUN
ejpam-6192	417	15	.	.	PUNCT
ejpam-6192	418	1	y.	y.	PROPN
ejpam-6192	418	2	douich	douich	PROPN
ejpam-6192	418	3	et	et	PROPN
ejpam-6192	418	4	al	al	PROPN
ejpam-6192	418	5	.	.	PUNCT
ejpam-6192	418	6	/	/	SYM
ejpam-6192	418	7	eur	eur	PROPN
ejpam-6192	418	8	.	.	PUNCT
ejpam-6192	419	1	j.	j.	PROPN
ejpam-6192	419	2	pure	pure	PROPN
ejpam-6192	419	3	appl	appl	PROPN
ejpam-6192	419	4	.	.	PROPN
ejpam-6192	419	5	math	math	PROPN
ejpam-6192	419	6	,	,	PUNCT
ejpam-6192	419	7	18	18	NUM
ejpam-6192	419	8	(	(	PUNCT
ejpam-6192	419	9	3	3	NUM
ejpam-6192	419	10	)	)	PUNCT
ejpam-6192	419	11	(	(	PUNCT
ejpam-6192	419	12	2025	2025	NUM
ejpam-6192	419	13	)	)	PUNCT
ejpam-6192	419	14	,	,	PUNCT
ejpam-6192	419	15	6192	6192	NUM
ejpam-6192	419	16	28	28	NUM
ejpam-6192	419	17	of	of	ADP
ejpam-6192	419	18	32	32	NUM
ejpam-6192	419	19	table	table	NOUN
ejpam-6192	419	20	5	5	NUM
ejpam-6192	419	21	:	:	PUNCT
ejpam-6192	419	22	performance	performance	NOUN
ejpam-6192	419	23	metrics	metric	NOUN
ejpam-6192	419	24	for	for	ADP
ejpam-6192	419	25	color	color	NOUN
ejpam-6192	419	26	image	image	NOUN
ejpam-6192	419	27	inpainting	inpainte	VERB
ejpam-6192	419	28	on	on	ADP
ejpam-6192	419	29	three	three	NUM
ejpam-6192	419	30	datasets	dataset	NOUN
ejpam-6192	419	31	:	:	PUNCT
ejpam-6192	419	32	el	el	PROPN
ejpam-6192	419	33	jadida	jadida	PROPN
ejpam-6192	419	34	city	city	PROPN
ejpam-6192	419	35	,	,	PUNCT
ejpam-6192	419	36	boat	boat	NOUN
ejpam-6192	419	37	,	,	PUNCT
ejpam-6192	419	38	and	and	CCONJ
ejpam-6192	419	39	bridge	bridge	NOUN
ejpam-6192	419	40	.	.	PUNCT
ejpam-6192	420	1	the	the	DET
ejpam-6192	420	2	lbm	lbm	PROPN
ejpam-6192	420	3	-	-	ADJ
ejpam-6192	420	4	d2q5	d2q5	ADJ
ejpam-6192	420	5	method	method	NOUN
ejpam-6192	420	6	demonstrates	demonstrate	VERB
ejpam-6192	420	7	superior	superior	ADJ
ejpam-6192	420	8	psnr	psnr	NOUN
ejpam-6192	420	9	values	value	NOUN
ejpam-6192	420	10	and	and	CCONJ
ejpam-6192	420	11	drastically	drastically	ADV
ejpam-6192	420	12	reduced	reduce	VERB
ejpam-6192	420	13	cpu	cpu	PROPN
ejpam-6192	420	14	times	time	NOUN
ejpam-6192	420	15	.	.	PUNCT
ejpam-6192	421	1	both	both	DET
ejpam-6192	421	2	lbm	lbm	PROPN
ejpam-6192	421	3	variants	variant	NOUN
ejpam-6192	421	4	outperform	outperform	VERB
ejpam-6192	421	5	classical	classical	ADJ
ejpam-6192	421	6	methods	method	NOUN
ejpam-6192	421	7	(	(	PUNCT
ejpam-6192	421	8	tv	tv	NOUN
ejpam-6192	421	9	reg	reg	NOUN
ejpam-6192	421	10	and	and	CCONJ
ejpam-6192	421	11	bscb	bscb	NUM
ejpam-6192	421	12	)	)	PUNCT
ejpam-6192	421	13	in	in	ADP
ejpam-6192	421	14	terms	term	NOUN
ejpam-6192	421	15	of	of	ADP
ejpam-6192	421	16	efficiency	efficiency	NOUN
ejpam-6192	421	17	and	and	CCONJ
ejpam-6192	421	18	image	image	NOUN
ejpam-6192	421	19	fidelity	fidelity	NOUN
ejpam-6192	421	20	,	,	PUNCT
ejpam-6192	421	21	confirming	confirm	VERB
ejpam-6192	421	22	the	the	DET
ejpam-6192	421	23	robustness	robustness	NOUN
ejpam-6192	421	24	of	of	ADP
ejpam-6192	421	25	the	the	DET
ejpam-6192	421	26	proposed	propose	VERB
ejpam-6192	421	27	framework	framework	NOUN
ejpam-6192	421	28	for	for	ADP
ejpam-6192	421	29	high	high	ADJ
ejpam-6192	421	30	-	-	PUNCT
ejpam-6192	421	31	resolution	resolution	NOUN
ejpam-6192	421	32	color	color	NOUN
ejpam-6192	421	33	image	image	NOUN
ejpam-6192	421	34	restoration	restoration	NOUN
ejpam-6192	421	35	.	.	PUNCT
ejpam-6192	422	1	image	image	NOUN
ejpam-6192	422	2	method	method	PROPN
ejpam-6192	422	3	psnr	psnr	NOUN
ejpam-6192	422	4	(	(	PUNCT
ejpam-6192	422	5	db	db	NOUN
ejpam-6192	422	6	)	)	PUNCT
ejpam-6192	422	7	ssim	ssim	NOUN
ejpam-6192	422	8	cpu	cpu	NOUN
ejpam-6192	422	9	time	time	NOUN
ejpam-6192	422	10	(	(	PUNCT
ejpam-6192	422	11	min	min	NOUN
ejpam-6192	422	12	)	)	PUNCT
ejpam-6192	422	13	4*city	4*city	NOUN
ejpam-6192	422	14	tv	tv	NOUN
ejpam-6192	422	15	reg	reg	VERB
ejpam-6192	422	16	27.23	27.23	NUM
ejpam-6192	422	17	1.000	1.000	NUM
ejpam-6192	422	18	85.56	85.56	NUM
ejpam-6192	422	19	bscb	bscb	X
ejpam-6192	422	20	28.58	28.58	NUM
ejpam-6192	422	21	1.000	1.000	NUM
ejpam-6192	422	22	74.90	74.90	NUM
ejpam-6192	422	23	lbm	lbm	NOUN
ejpam-6192	422	24	-	-	PUNCT
ejpam-6192	422	25	d2q5	d2q5	PROPN
ejpam-6192	422	26	29.94	29.94	NUM
ejpam-6192	422	27	1.000	1.000	NUM
ejpam-6192	422	28	17.01	17.01	NUM
ejpam-6192	422	29	lbm	lbm	NOUN
ejpam-6192	422	30	-	-	PUNCT
ejpam-6192	422	31	d2q9	d2q9	NOUN
ejpam-6192	422	32	29.85	29.85	NUM
ejpam-6192	422	33	1.000	1.000	NUM
ejpam-6192	422	34	26.07	26.07	NUM
ejpam-6192	422	35	4*boat	4*boat	NOUN
ejpam-6192	422	36	tv	tv	NOUN
ejpam-6192	422	37	reg	reg	VERB
ejpam-6192	422	38	35.25	35.25	NUM
ejpam-6192	422	39	1.000	1.000	NUM
ejpam-6192	422	40	14.36	14.36	NUM
ejpam-6192	422	41	bscb	bscb	NOUN
ejpam-6192	422	42	33.91	33.91	NUM
ejpam-6192	422	43	1.000	1.000	NUM
ejpam-6192	422	44	19.48	19.48	NUM
ejpam-6192	422	45	lbm	lbm	PROPN
ejpam-6192	422	46	-	-	PUNCT
ejpam-6192	422	47	d2q5	d2q5	PROPN
ejpam-6192	422	48	37.31	37.31	NUM
ejpam-6192	422	49	1.000	1.000	NUM
ejpam-6192	422	50	1.50	1.50	NUM
ejpam-6192	422	51	lbm	lbm	NOUN
ejpam-6192	422	52	-	-	PUNCT
ejpam-6192	422	53	d2q9	d2q9	NOUN
ejpam-6192	422	54	36.89	36.89	NUM
ejpam-6192	422	55	1.000	1.000	NUM
ejpam-6192	422	56	2.10	2.10	NUM
ejpam-6192	422	57	4*bridge	4*bridge	NUM
ejpam-6192	422	58	tv	tv	NOUN
ejpam-6192	422	59	reg	reg	VERB
ejpam-6192	422	60	30.92	30.92	NUM
ejpam-6192	422	61	1.000	1.000	NUM
ejpam-6192	422	62	52.20	52.20	NUM
ejpam-6192	422	63	bscb	bscb	NOUN
ejpam-6192	422	64	29.97	29.97	NUM
ejpam-6192	422	65	1.000	1.000	NUM
ejpam-6192	422	66	55.23	55.23	NUM
ejpam-6192	422	67	lbm	lbm	PROPN
ejpam-6192	422	68	-	-	PUNCT
ejpam-6192	422	69	d2q5	d2q5	PROPN
ejpam-6192	422	70	31.96	31.96	NUM
ejpam-6192	422	71	1.000	1.000	NUM
ejpam-6192	422	72	7.73	7.73	NUM
ejpam-6192	422	73	lbm	lbm	NOUN
ejpam-6192	422	74	-	-	PUNCT
ejpam-6192	422	75	d2q9	d2q9	NOUN
ejpam-6192	422	76	31.98	31.98	NUM
ejpam-6192	422	77	1.000	1.000	NUM
ejpam-6192	422	78	11.60	11.60	NUM
ejpam-6192	422	79	figure	figure	NOUN
ejpam-6192	422	80	11	11	NUM
ejpam-6192	422	81	:	:	PUNCT
ejpam-6192	422	82	temporal	temporal	ADJ
ejpam-6192	422	83	evolution	evolution	NOUN
ejpam-6192	422	84	of	of	ADP
ejpam-6192	422	85	the	the	DET
ejpam-6192	422	86	peak	peak	NOUN
ejpam-6192	422	87	signal	signal	NOUN
ejpam-6192	422	88	-	-	PUNCT
ejpam-6192	422	89	to	to	ADP
ejpam-6192	422	90	-	-	PUNCT
ejpam-6192	422	91	noise	noise	NOUN
ejpam-6192	422	92	ratio	ratio	NOUN
ejpam-6192	422	93	(	(	PUNCT
ejpam-6192	422	94	psnr	psnr	NOUN
ejpam-6192	422	95	)	)	PUNCT
ejpam-6192	422	96	for	for	ADP
ejpam-6192	422	97	the	the	DET
ejpam-6192	422	98	girlface	girlface	NOUN
ejpam-6192	422	99	image	image	NOUN
ejpam-6192	422	100	over	over	ADP
ejpam-6192	422	101	100	100	NUM
ejpam-6192	422	102	iterations	iteration	NOUN
ejpam-6192	422	103	,	,	PUNCT
ejpam-6192	422	104	illustrating	illustrate	VERB
ejpam-6192	422	105	the	the	DET
ejpam-6192	422	106	impact	impact	NOUN
ejpam-6192	422	107	of	of	ADP
ejpam-6192	422	108	the	the	DET
ejpam-6192	422	109	thermal	thermal	ADJ
ejpam-6192	422	110	diffusivity	diffusivity	NOUN
ejpam-6192	422	111	parameter	parameter	NOUN
ejpam-6192	422	112	α	α	PROPN
ejpam-6192	422	113	on	on	ADP
ejpam-6192	422	114	the	the	DET
ejpam-6192	422	115	inpainting	inpainting	ADJ
ejpam-6192	422	116	performance	performance	NOUN
ejpam-6192	422	117	.	.	PUNCT
ejpam-6192	423	1	lower	low	ADJ
ejpam-6192	423	2	α	α	PROPN
ejpam-6192	423	3	values	value	NOUN
ejpam-6192	423	4	lead	lead	VERB
ejpam-6192	423	5	to	to	ADP
ejpam-6192	423	6	faster	fast	ADJ
ejpam-6192	423	7	convergence	convergence	NOUN
ejpam-6192	423	8	and	and	CCONJ
ejpam-6192	423	9	higher	high	ADJ
ejpam-6192	423	10	psnr	psnr	NOUN
ejpam-6192	423	11	,	,	PUNCT
ejpam-6192	423	12	reflecting	reflect	VERB
ejpam-6192	423	13	enhanced	enhanced	ADJ
ejpam-6192	423	14	reconstruction	reconstruction	NOUN
ejpam-6192	423	15	quality	quality	NOUN
ejpam-6192	423	16	through	through	ADP
ejpam-6192	423	17	controlled	control	VERB
ejpam-6192	423	18	diffusion	diffusion	NOUN
ejpam-6192	423	19	.	.	PUNCT
ejpam-6192	424	1	in	in	ADP
ejpam-6192	424	2	contrast	contrast	NOUN
ejpam-6192	424	3	,	,	PUNCT
ejpam-6192	424	4	higher	high	ADJ
ejpam-6192	424	5	α	α	PROPN
ejpam-6192	424	6	values	value	NOUN
ejpam-6192	424	7	result	result	VERB
ejpam-6192	424	8	in	in	ADP
ejpam-6192	424	9	slower	slow	ADJ
ejpam-6192	424	10	convergence	convergence	NOUN
ejpam-6192	424	11	and	and	CCONJ
ejpam-6192	424	12	diminished	diminish	VERB
ejpam-6192	424	13	fidelity	fidelity	NOUN
ejpam-6192	424	14	due	due	ADP
ejpam-6192	424	15	to	to	ADP
ejpam-6192	424	16	excessive	excessive	ADJ
ejpam-6192	424	17	smoothing	smoothing	NOUN
ejpam-6192	424	18	.	.	PUNCT
ejpam-6192	425	1	y.	y.	PROPN
ejpam-6192	425	2	douich	douich	PROPN
ejpam-6192	425	3	et	et	PROPN
ejpam-6192	425	4	al	al	PROPN
ejpam-6192	425	5	.	.	PUNCT
ejpam-6192	425	6	/	/	SYM
ejpam-6192	425	7	eur	eur	PROPN
ejpam-6192	425	8	.	.	PUNCT
ejpam-6192	426	1	j.	j.	PROPN
ejpam-6192	426	2	pure	pure	PROPN
ejpam-6192	426	3	appl	appl	PROPN
ejpam-6192	426	4	.	.	PROPN
ejpam-6192	426	5	math	math	PROPN
ejpam-6192	426	6	,	,	PUNCT
ejpam-6192	426	7	18	18	NUM
ejpam-6192	426	8	(	(	PUNCT
ejpam-6192	426	9	3	3	NUM
ejpam-6192	426	10	)	)	PUNCT
ejpam-6192	426	11	(	(	PUNCT
ejpam-6192	426	12	2025	2025	NUM
ejpam-6192	426	13	)	)	PUNCT
ejpam-6192	426	14	,	,	PUNCT
ejpam-6192	426	15	6192	6192	NUM
ejpam-6192	426	16	29	29	NUM
ejpam-6192	426	17	of	of	ADP
ejpam-6192	426	18	32	32	NUM
ejpam-6192	426	19	(	(	PUNCT
ejpam-6192	426	20	a	a	NOUN
ejpam-6192	426	21	)	)	PUNCT
ejpam-6192	426	22	d2q5	d2q5	NOUN
ejpam-6192	426	23	performs	perform	VERB
ejpam-6192	426	24	better	well	ADV
ejpam-6192	426	25	at	at	ADP
ejpam-6192	426	26	α	α	NOUN
ejpam-6192	426	27	=	=	NOUN
ejpam-6192	426	28	0.48	0.48	NUM
ejpam-6192	426	29	,	,	PUNCT
ejpam-6192	426	30	τg	τg	NOUN
ejpam-6192	427	1	=	=	NOUN
ejpam-6192	427	2	1.7	1.7	NUM
ejpam-6192	427	3	for	for	ADP
ejpam-6192	427	4	d2q5	d2q5	PROPN
ejpam-6192	427	5	;	;	PUNCT
ejpam-6192	427	6	α	α	NOUN
ejpam-6192	427	7	=	=	SYM
ejpam-6192	427	8	0.40	0.40	NUM
ejpam-6192	427	9	,	,	PUNCT
ejpam-6192	427	10	τg	τg	NOUN
ejpam-6192	427	11	=	=	NOUN
ejpam-6192	427	12	1.7	1.7	NUM
ejpam-6192	427	13	for	for	ADP
ejpam-6192	427	14	d2q9	d2q9	NOUN
ejpam-6192	427	15	(	(	PUNCT
ejpam-6192	427	16	b	b	NOUN
ejpam-6192	427	17	)	)	PUNCT
ejpam-6192	427	18	d2q9	d2q9	NOUN
ejpam-6192	427	19	performs	perform	VERB
ejpam-6192	427	20	better	well	ADV
ejpam-6192	427	21	at	at	ADP
ejpam-6192	427	22	α	α	NOUN
ejpam-6192	427	23	=	=	PROPN
ejpam-6192	427	24	2.48	2.48	NUM
ejpam-6192	427	25	,	,	PUNCT
ejpam-6192	427	26	τg	τg	NOUN
ejpam-6192	428	1	=	=	NOUN
ejpam-6192	428	2	6.7	6.7	NUM
ejpam-6192	428	3	for	for	ADP
ejpam-6192	428	4	d2q5	d2q5	PROPN
ejpam-6192	428	5	;	;	PUNCT
ejpam-6192	428	6	α	α	NOUN
ejpam-6192	428	7	=	=	PUNCT
ejpam-6192	428	8	2.06	2.06	NUM
ejpam-6192	428	9	,	,	PUNCT
ejpam-6192	428	10	τg	τg	NOUN
ejpam-6192	429	1	=	=	NOUN
ejpam-6192	429	2	6.7	6.7	NUM
ejpam-6192	429	3	for	for	ADP
ejpam-6192	429	4	d2q9	d2q9	NOUN
ejpam-6192	429	5	figure	figure	NOUN
ejpam-6192	429	6	12	12	NUM
ejpam-6192	429	7	:	:	PUNCT
ejpam-6192	429	8	comparison	comparison	NOUN
ejpam-6192	429	9	of	of	ADP
ejpam-6192	429	10	psnr	psnr	NOUN
ejpam-6192	429	11	evolution	evolution	NOUN
ejpam-6192	429	12	for	for	ADP
ejpam-6192	429	13	the	the	DET
ejpam-6192	429	14	girlface	girlface	NOUN
ejpam-6192	429	15	image	image	NOUN
ejpam-6192	429	16	using	use	VERB
ejpam-6192	429	17	d2q5	d2q5	PROPN
ejpam-6192	429	18	and	and	CCONJ
ejpam-6192	429	19	d2q9	d2q9	NOUN
ejpam-6192	429	20	lattice	lattice	NOUN
ejpam-6192	429	21	models	model	NOUN
ejpam-6192	429	22	over	over	ADP
ejpam-6192	429	23	100	100	NUM
ejpam-6192	429	24	iterations	iteration	NOUN
ejpam-6192	429	25	under	under	ADP
ejpam-6192	429	26	two	two	NUM
ejpam-6192	429	27	thermal	thermal	ADJ
ejpam-6192	429	28	diffusivity	diffusivity	NOUN
ejpam-6192	429	29	settings	setting	NOUN
ejpam-6192	429	30	.	.	PUNCT
ejpam-6192	430	1	(	(	PUNCT
ejpam-6192	430	2	a	a	X
ejpam-6192	430	3	)	)	PUNCT
ejpam-6192	430	4	for	for	ADP
ejpam-6192	430	5	moderate	moderate	ADJ
ejpam-6192	430	6	diffusivity	diffusivity	NOUN
ejpam-6192	430	7	,	,	PUNCT
ejpam-6192	430	8	d2q5	d2q5	PROPN
ejpam-6192	430	9	shows	show	VERB
ejpam-6192	430	10	faster	fast	ADJ
ejpam-6192	430	11	convergence	convergence	NOUN
ejpam-6192	430	12	and	and	CCONJ
ejpam-6192	430	13	higher	high	ADJ
ejpam-6192	430	14	final	final	ADJ
ejpam-6192	430	15	psnr	psnr	NOUN
ejpam-6192	430	16	,	,	PUNCT
ejpam-6192	430	17	indicating	indicate	VERB
ejpam-6192	430	18	better	well	ADJ
ejpam-6192	430	19	preservation	preservation	NOUN
ejpam-6192	430	20	of	of	ADP
ejpam-6192	430	21	image	image	NOUN
ejpam-6192	430	22	structure	structure	NOUN
ejpam-6192	430	23	.	.	PUNCT
ejpam-6192	431	1	(	(	PUNCT
ejpam-6192	431	2	b	b	X
ejpam-6192	431	3	)	)	PUNCT
ejpam-6192	431	4	for	for	ADP
ejpam-6192	431	5	higher	high	ADJ
ejpam-6192	431	6	diffusivity	diffusivity	NOUN
ejpam-6192	431	7	,	,	PUNCT
ejpam-6192	431	8	d2q9	d2q9	NOUN
ejpam-6192	431	9	achieves	achieve	VERB
ejpam-6192	431	10	superior	superior	ADJ
ejpam-6192	431	11	psnr	psnr	NOUN
ejpam-6192	431	12	,	,	PUNCT
ejpam-6192	431	13	suggesting	suggest	VERB
ejpam-6192	431	14	improved	improved	ADJ
ejpam-6192	431	15	performance	performance	NOUN
ejpam-6192	431	16	in	in	ADP
ejpam-6192	431	17	scenarios	scenario	NOUN
ejpam-6192	431	18	requiring	require	VERB
ejpam-6192	431	19	stronger	strong	ADJ
ejpam-6192	431	20	smoothing	smoothing	NOUN
ejpam-6192	431	21	.	.	PUNCT
ejpam-6192	432	1	6	6	X
ejpam-6192	432	2	.	.	X
ejpam-6192	432	3	conclusions	conclusion	NOUN
ejpam-6192	432	4	and	and	CCONJ
ejpam-6192	432	5	future	future	ADJ
ejpam-6192	432	6	work	work	NOUN
ejpam-6192	432	7	in	in	ADP
ejpam-6192	432	8	this	this	DET
ejpam-6192	432	9	study	study	NOUN
ejpam-6192	432	10	,	,	PUNCT
ejpam-6192	432	11	we	we	PRON
ejpam-6192	432	12	introduced	introduce	VERB
ejpam-6192	432	13	a	a	DET
ejpam-6192	432	14	novel	novel	ADJ
ejpam-6192	432	15	image	image	NOUN
ejpam-6192	432	16	inpainting	inpainte	VERB
ejpam-6192	432	17	algorithm	algorithm	NOUN
ejpam-6192	432	18	grounded	ground	VERB
ejpam-6192	432	19	in	in	ADP
ejpam-6192	432	20	the	the	DET
ejpam-6192	432	21	lattice	lattice	NOUN
ejpam-6192	432	22	boltzmann	boltzmann	PROPN
ejpam-6192	432	23	method	method	PROPN
ejpam-6192	432	24	(	(	PUNCT
ejpam-6192	432	25	lbm	lbm	PROPN
ejpam-6192	432	26	)	)	PUNCT
ejpam-6192	432	27	,	,	PUNCT
ejpam-6192	432	28	drawing	draw	VERB
ejpam-6192	432	29	inspiration	inspiration	NOUN
ejpam-6192	432	30	from	from	ADP
ejpam-6192	432	31	fluid	fluid	ADJ
ejpam-6192	432	32	dynamics	dynamic	NOUN
ejpam-6192	432	33	through	through	ADP
ejpam-6192	432	34	a	a	DET
ejpam-6192	432	35	vorticity	vorticity	NOUN
ejpam-6192	432	36	–	–	PUNCT
ejpam-6192	432	37	stream	stream	NOUN
ejpam-6192	432	38	formulation	formulation	NOUN
ejpam-6192	432	39	.	.	PUNCT
ejpam-6192	433	1	the	the	DET
ejpam-6192	433	2	method	method	NOUN
ejpam-6192	433	3	was	be	AUX
ejpam-6192	433	4	validated	validate	VERB
ejpam-6192	433	5	on	on	ADP
ejpam-6192	433	6	six	six	NUM
ejpam-6192	433	7	benchmark	benchmark	NOUN
ejpam-6192	433	8	images	image	NOUN
ejpam-6192	433	9	—	—	PUNCT
ejpam-6192	433	10	three	three	NUM
ejpam-6192	433	11	grayscale	grayscale	NOUN
ejpam-6192	433	12	and	and	CCONJ
ejpam-6192	433	13	three	three	NUM
ejpam-6192	433	14	color	color	NOUN
ejpam-6192	433	15	—	—	PUNCT
ejpam-6192	433	16	artificially	artificially	ADV
ejpam-6192	433	17	degraded	degraded	ADJ
ejpam-6192	433	18	using	use	VERB
ejpam-6192	433	19	random	random	ADJ
ejpam-6192	433	20	scratches	scratch	NOUN
ejpam-6192	433	21	.	.	PUNCT
ejpam-6192	434	1	experimental	experimental	ADJ
ejpam-6192	434	2	results	result	NOUN
ejpam-6192	434	3	show	show	VERB
ejpam-6192	434	4	that	that	SCONJ
ejpam-6192	434	5	the	the	DET
ejpam-6192	434	6	proposed	propose	VERB
ejpam-6192	434	7	lbm	lbm	PROPN
ejpam-6192	434	8	approach	approach	NOUN
ejpam-6192	434	9	outperforms	outperform	VERB
ejpam-6192	434	10	classical	classical	ADJ
ejpam-6192	434	11	techniques	technique	NOUN
ejpam-6192	434	12	such	such	ADJ
ejpam-6192	434	13	as	as	ADP
ejpam-6192	434	14	total	total	ADJ
ejpam-6192	434	15	variation	variation	NOUN
ejpam-6192	434	16	(	(	PUNCT
ejpam-6192	434	17	tv	tv	NOUN
ejpam-6192	434	18	)	)	PUNCT
ejpam-6192	434	19	regularization	regularization	NOUN
ejpam-6192	434	20	and	and	CCONJ
ejpam-6192	434	21	the	the	DET
ejpam-6192	434	22	bscb	bscb	ADJ
ejpam-6192	434	23	algorithm	algorithm	NOUN
ejpam-6192	434	24	in	in	ADP
ejpam-6192	434	25	both	both	PRON
ejpam-6192	434	26	reconstruction	reconstruction	NOUN
ejpam-6192	434	27	quality	quality	NOUN
ejpam-6192	434	28	and	and	CCONJ
ejpam-6192	434	29	computational	computational	ADJ
ejpam-6192	434	30	efficiency	efficiency	NOUN
ejpam-6192	434	31	.	.	PUNCT
ejpam-6192	435	1	the	the	DET
ejpam-6192	435	2	lbm	lbm	PROPN
ejpam-6192	435	3	-	-	ADJ
ejpam-6192	435	4	d2q5	d2q5	ADJ
ejpam-6192	435	5	model	model	NOUN
ejpam-6192	435	6	achieved	achieve	VERB
ejpam-6192	435	7	faster	fast	ADJ
ejpam-6192	435	8	processing	processing	NOUN
ejpam-6192	435	9	times	time	NOUN
ejpam-6192	435	10	than	than	ADP
ejpam-6192	435	11	tv	tv	NOUN
ejpam-6192	435	12	and	and	CCONJ
ejpam-6192	435	13	bscb	bscb	NOUN
ejpam-6192	435	14	,	,	PUNCT
ejpam-6192	435	15	reducing	reduce	VERB
ejpam-6192	435	16	computation	computation	NOUN
ejpam-6192	435	17	from	from	ADP
ejpam-6192	435	18	several	several	ADJ
ejpam-6192	435	19	minutes	minute	NOUN
ejpam-6192	435	20	to	to	ADP
ejpam-6192	435	21	under	under	ADP
ejpam-6192	435	22	one	one	NUM
ejpam-6192	435	23	minute	minute	NOUN
ejpam-6192	435	24	while	while	SCONJ
ejpam-6192	435	25	preserving	preserve	VERB
ejpam-6192	435	26	or	or	CCONJ
ejpam-6192	435	27	improving	improve	VERB
ejpam-6192	435	28	psnr	psnr	NOUN
ejpam-6192	435	29	and	and	CCONJ
ejpam-6192	435	30	ssim	ssim	NOUN
ejpam-6192	435	31	.	.	PUNCT
ejpam-6192	436	1	this	this	PRON
ejpam-6192	436	2	confirms	confirm	VERB
ejpam-6192	436	3	its	its	PRON
ejpam-6192	436	4	ability	ability	NOUN
ejpam-6192	436	5	to	to	PART
ejpam-6192	436	6	deliver	deliver	VERB
ejpam-6192	436	7	high	high	ADJ
ejpam-6192	436	8	-	-	PUNCT
ejpam-6192	436	9	quality	quality	NOUN
ejpam-6192	436	10	inpainting	inpainte	VERB
ejpam-6192	436	11	with	with	ADP
ejpam-6192	436	12	low	low	ADJ
ejpam-6192	436	13	computational	computational	ADJ
ejpam-6192	436	14	cost	cost	NOUN
ejpam-6192	436	15	.	.	PUNCT
ejpam-6192	437	1	nevertheless	nevertheless	ADV
ejpam-6192	437	2	,	,	PUNCT
ejpam-6192	437	3	limitations	limitation	NOUN
ejpam-6192	437	4	exist	exist	VERB
ejpam-6192	437	5	.	.	PUNCT
ejpam-6192	438	1	the	the	DET
ejpam-6192	438	2	model	model	NOUN
ejpam-6192	438	3	may	may	AUX
ejpam-6192	438	4	underperform	underperform	VERB
ejpam-6192	438	5	in	in	ADP
ejpam-6192	438	6	highly	highly	ADV
ejpam-6192	438	7	textured	textured	ADJ
ejpam-6192	438	8	regions	region	NOUN
ejpam-6192	438	9	,	,	PUNCT
ejpam-6192	438	10	where	where	SCONJ
ejpam-6192	438	11	deep	deep	ADJ
ejpam-6192	438	12	learning	learning	NOUN
ejpam-6192	438	13	approaches	approach	NOUN
ejpam-6192	438	14	tend	tend	VERB
ejpam-6192	438	15	to	to	PART
ejpam-6192	438	16	be	be	AUX
ejpam-6192	438	17	more	more	ADV
ejpam-6192	438	18	effective	effective	ADJ
ejpam-6192	438	19	.	.	PUNCT
ejpam-6192	439	1	in	in	ADP
ejpam-6192	439	2	addition	addition	NOUN
ejpam-6192	439	3	,	,	PUNCT
ejpam-6192	439	4	the	the	DET
ejpam-6192	439	5	method	method	NOUN
ejpam-6192	439	6	’s	’s	PART
ejpam-6192	439	7	sensitivity	sensitivity	NOUN
ejpam-6192	439	8	to	to	ADP
ejpam-6192	439	9	parameters	parameter	NOUN
ejpam-6192	439	10	such	such	ADJ
ejpam-6192	439	11	as	as	ADP
ejpam-6192	439	12	α	α	NOUN
ejpam-6192	439	13	and	and	CCONJ
ejpam-6192	439	14	ν	ν	NOUN
ejpam-6192	439	15	necessitates	necessitate	VERB
ejpam-6192	439	16	empirical	empirical	ADJ
ejpam-6192	439	17	tuning	tuning	NOUN
ejpam-6192	439	18	to	to	PART
ejpam-6192	439	19	achieve	achieve	VERB
ejpam-6192	439	20	optimal	optimal	ADJ
ejpam-6192	439	21	performance	performance	NOUN
ejpam-6192	439	22	.	.	PUNCT
ejpam-6192	440	1	future	future	ADJ
ejpam-6192	440	2	work	work	NOUN
ejpam-6192	440	3	will	will	AUX
ejpam-6192	440	4	explore	explore	VERB
ejpam-6192	440	5	hybrid	hybrid	ADJ
ejpam-6192	440	6	frameworks	framework	NOUN
ejpam-6192	440	7	combining	combine	VERB
ejpam-6192	440	8	lbm	lbm	NOUN
ejpam-6192	440	9	with	with	ADP
ejpam-6192	440	10	deep	deep	ADJ
ejpam-6192	440	11	neural	neural	ADJ
ejpam-6192	440	12	networks	network	NOUN
ejpam-6192	440	13	to	to	PART
ejpam-6192	440	14	synergize	synergize	VERB
ejpam-6192	440	15	the	the	DET
ejpam-6192	440	16	physical	physical	ADJ
ejpam-6192	440	17	interpretability	interpretability	NOUN
ejpam-6192	440	18	and	and	CCONJ
ejpam-6192	440	19	speed	speed	NOUN
ejpam-6192	440	20	of	of	ADP
ejpam-6192	440	21	lbm	lbm	NOUN
ejpam-6192	440	22	with	with	ADP
ejpam-6192	440	23	the	the	DET
ejpam-6192	440	24	representational	representational	ADJ
ejpam-6192	440	25	power	power	NOUN
ejpam-6192	440	26	of	of	ADP
ejpam-6192	440	27	deep	deep	ADJ
ejpam-6192	440	28	learning	learning	NOUN
ejpam-6192	440	29	.	.	PUNCT
ejpam-6192	441	1	such	such	ADJ
ejpam-6192	441	2	integration	integration	NOUN
ejpam-6192	441	3	could	could	AUX
ejpam-6192	441	4	enable	enable	VERB
ejpam-6192	441	5	adaptive	adaptive	ADJ
ejpam-6192	441	6	parameter	parameter	NOUN
ejpam-6192	441	7	adjustment	adjustment	NOUN
ejpam-6192	441	8	,	,	PUNCT
ejpam-6192	441	9	enhanced	enhance	VERB
ejpam-6192	441	10	texture	texture	ADJ
ejpam-6192	441	11	reconstruction	reconstruction	NOUN
ejpam-6192	441	12	,	,	PUNCT
ejpam-6192	441	13	and	and	CCONJ
ejpam-6192	441	14	better	well	ADJ
ejpam-6192	441	15	generalization	generalization	NOUN
ejpam-6192	441	16	across	across	ADP
ejpam-6192	441	17	diverse	diverse	ADJ
ejpam-6192	441	18	image	image	NOUN
ejpam-6192	441	19	types	type	NOUN
ejpam-6192	441	20	and	and	CCONJ
ejpam-6192	441	21	y.	y.	PROPN
ejpam-6192	441	22	douich	douich	PROPN
ejpam-6192	441	23	et	et	PROPN
ejpam-6192	442	1	al	al	PROPN
ejpam-6192	442	2	.	.	PUNCT
ejpam-6192	442	3	/	/	SYM
ejpam-6192	442	4	eur	eur	PROPN
ejpam-6192	442	5	.	.	PUNCT
ejpam-6192	443	1	j.	j.	PROPN
ejpam-6192	443	2	pure	pure	PROPN
ejpam-6192	443	3	appl	appl	PROPN
ejpam-6192	443	4	.	.	PROPN
ejpam-6192	443	5	math	math	PROPN
ejpam-6192	443	6	,	,	PUNCT
ejpam-6192	443	7	18	18	NUM
ejpam-6192	443	8	(	(	PUNCT
ejpam-6192	443	9	3	3	NUM
ejpam-6192	443	10	)	)	PUNCT
ejpam-6192	443	11	(	(	PUNCT
ejpam-6192	443	12	2025	2025	NUM
ejpam-6192	443	13	)	)	PUNCT
ejpam-6192	443	14	,	,	PUNCT
ejpam-6192	443	15	6192	6192	NUM
ejpam-6192	443	16	30	30	NUM
ejpam-6192	443	17	of	of	ADP
ejpam-6192	443	18	32	32	NUM
ejpam-6192	443	19	damage	damage	NOUN
ejpam-6192	443	20	scenarios	scenario	NOUN
ejpam-6192	443	21	.	.	PUNCT
ejpam-6192	444	1	references	reference	NOUN
ejpam-6192	444	2	[	[	X
ejpam-6192	444	3	1	1	NUM
ejpam-6192	444	4	]	]	PUNCT
ejpam-6192	444	5	k.	k.	PROPN
ejpam-6192	444	6	preston	preston	PROPN
ejpam-6192	444	7	,	,	PUNCT
ejpam-6192	444	8	m.j.b	m.j.b	PROPN
ejpam-6192	444	9	.	.	PUNCT
ejpam-6192	445	1	duff	duff	PROPN
ejpam-6192	445	2	,	,	PUNCT
ejpam-6192	445	3	s.	s.	PROPN
ejpam-6192	445	4	levialdi	levialdi	PROPN
ejpam-6192	445	5	,	,	PUNCT
ejpam-6192	445	6	p.e	p.e	PROPN
ejpam-6192	445	7	.	.	PROPN
ejpam-6192	445	8	norgren	norgren	PROPN
ejpam-6192	445	9	,	,	PUNCT
ejpam-6192	445	10	and	and	CCONJ
ejpam-6192	445	11	j.	j.	PROPN
ejpam-6192	445	12	toriwaki	toriwaki	PROPN
ejpam-6192	445	13	.	.	PUNCT
ejpam-6192	446	1	basics	basic	NOUN
ejpam-6192	446	2	of	of	ADP
ejpam-6192	446	3	cellular	cellular	ADJ
ejpam-6192	446	4	logic	logic	NOUN
ejpam-6192	446	5	with	with	ADP
ejpam-6192	446	6	some	some	DET
ejpam-6192	446	7	applications	application	NOUN
ejpam-6192	446	8	in	in	ADP
ejpam-6192	446	9	medical	medical	ADJ
ejpam-6192	446	10	image	image	NOUN
ejpam-6192	446	11	processing	processing	NOUN
ejpam-6192	446	12	.	.	PUNCT
ejpam-6192	447	1	proceedings	proceeding	NOUN
ejpam-6192	447	2	of	of	ADP
ejpam-6192	447	3	the	the	DET
ejpam-6192	447	4	ieee	ieee	NOUN
ejpam-6192	447	5	,	,	PUNCT
ejpam-6192	447	6	67(5):826–856	67(5):826–856	NOUN
ejpam-6192	447	7	,	,	PUNCT
ejpam-6192	447	8	1979	1979	NUM
ejpam-6192	447	9	.	.	PUNCT
ejpam-6192	448	1	[	[	X
ejpam-6192	448	2	2	2	X
ejpam-6192	448	3	]	]	PUNCT
ejpam-6192	448	4	g.	g.	PROPN
ejpam-6192	448	5	hernandez	hernandez	PROPN
ejpam-6192	448	6	and	and	CCONJ
ejpam-6192	448	7	h.	h.	PROPN
ejpam-6192	448	8	j.	j.	PROPN
ejpam-6192	448	9	herrnann	herrnann	PROPN
ejpam-6192	448	10	.	.	PUNCT
ejpam-6192	449	1	cellular	cellular	ADJ
ejpam-6192	449	2	automata	automata	NOUN
ejpam-6192	449	3	for	for	ADP
ejpam-6192	449	4	elementary	elementary	ADJ
ejpam-6192	449	5	image	image	NOUN
ejpam-6192	449	6	enhancement	enhancement	NOUN
ejpam-6192	449	7	.	.	PUNCT
ejpam-6192	450	1	graphical	graphical	ADJ
ejpam-6192	450	2	models	model	NOUN
ejpam-6192	450	3	and	and	CCONJ
ejpam-6192	450	4	image	image	NOUN
ejpam-6192	450	5	processing	processing	NOUN
ejpam-6192	450	6	,	,	PUNCT
ejpam-6192	450	7	58:82–89	58:82–89	NUM
ejpam-6192	450	8	,	,	PUNCT
ejpam-6192	450	9	1996	1996	NUM
ejpam-6192	450	10	.	.	PUNCT
ejpam-6192	451	1	[	[	X
ejpam-6192	451	2	3	3	NUM
ejpam-6192	451	3	]	]	PUNCT
ejpam-6192	451	4	a.	a.	NOUN
ejpam-6192	451	5	popovici	popovici	NOUN
ejpam-6192	451	6	and	and	CCONJ
ejpam-6192	451	7	d.	d.	PROPN
ejpam-6192	451	8	popovici	popovici	PROPN
ejpam-6192	451	9	.	.	PUNCT
ejpam-6192	452	1	cellular	cellular	ADJ
ejpam-6192	452	2	automata	automata	NOUN
ejpam-6192	452	3	in	in	ADP
ejpam-6192	452	4	image	image	NOUN
ejpam-6192	452	5	processing	processing	NOUN
ejpam-6192	452	6	.	.	PUNCT
ejpam-6192	453	1	in	in	ADP
ejpam-6192	453	2	:	:	PUNCT
ejpam-6192	453	3	mtns	mtns	PROPN
ejpam-6192	453	4	,	,	PUNCT
ejpam-6192	453	5	2002	2002	NUM
ejpam-6192	453	6	.	.	PUNCT
ejpam-6192	454	1	[	[	X
ejpam-6192	454	2	4	4	X
ejpam-6192	454	3	]	]	X
ejpam-6192	454	4	s.	s.	PROPN
ejpam-6192	454	5	wongthanavasu	wongthanavasu	PROPN
ejpam-6192	454	6	and	and	CCONJ
ejpam-6192	454	7	r.	r.	PROPN
ejpam-6192	454	8	sadananda	sadananda	PROPN
ejpam-6192	454	9	.	.	PUNCT
ejpam-6192	455	1	a	a	DET
ejpam-6192	455	2	ca	ca	ADV
ejpam-6192	455	3	-	-	PUNCT
ejpam-6192	455	4	based	base	VERB
ejpam-6192	455	5	edged	edge	VERB
ejpam-6192	455	6	operator	operator	NOUN
ejpam-6192	455	7	and	and	CCONJ
ejpam-6192	455	8	its	its	PRON
ejpam-6192	455	9	performance	performance	NOUN
ejpam-6192	455	10	evaluation	evaluation	NOUN
ejpam-6192	455	11	.	.	PUNCT
ejpam-6192	456	1	journal	journal	NOUN
ejpam-6192	456	2	of	of	ADP
ejpam-6192	456	3	visual	visual	ADJ
ejpam-6192	456	4	communication	communication	NOUN
ejpam-6192	456	5	and	and	CCONJ
ejpam-6192	456	6	image	image	NOUN
ejpam-6192	456	7	representation	representation	NOUN
ejpam-6192	456	8	,	,	PUNCT
ejpam-6192	456	9	14:83–96	14:83–96	NUM
ejpam-6192	456	10	,	,	PUNCT
ejpam-6192	456	11	2003	2003	NUM
ejpam-6192	456	12	.	.	PUNCT
ejpam-6192	457	1	[	[	X
ejpam-6192	457	2	5	5	NUM
ejpam-6192	457	3	]	]	SYM
ejpam-6192	457	4	sp	sp	PROPN
ejpam-6192	457	5	.	.	PUNCT
ejpam-6192	457	6	l.	l.	PROPN
ejpam-6192	457	7	rosin	rosin	PROPN
ejpam-6192	457	8	.	.	PUNCT
ejpam-6192	458	1	training	train	VERB
ejpam-6192	458	2	cellular	cellular	ADJ
ejpam-6192	458	3	automata	automata	NOUN
ejpam-6192	458	4	for	for	ADP
ejpam-6192	458	5	image	image	NOUN
ejpam-6192	458	6	processing	processing	NOUN
ejpam-6192	458	7	.	.	PUNCT
ejpam-6192	459	1	ieee	ieee	NOUN
ejpam-6192	459	2	transaction	transaction	NOUN
ejpam-6192	459	3	on	on	ADP
ejpam-6192	459	4	image	image	NOUN
ejpam-6192	459	5	processing	processing	NOUN
ejpam-6192	459	6	,	,	PUNCT
ejpam-6192	459	7	15:2076–2087	15:2076–2087	NUM
ejpam-6192	459	8	,	,	PUNCT
ejpam-6192	459	9	2006	2006	NUM
ejpam-6192	459	10	.	.	PUNCT
ejpam-6192	460	1	[	[	X
ejpam-6192	460	2	6	6	NUM
ejpam-6192	460	3	]	]	PUNCT
ejpam-6192	460	4	p.	p.	NOUN
ejpam-6192	460	5	lin	lin	PROPN
ejpam-6192	460	6	b.	b.	PROPN
ejpam-6192	460	7	jawerth	jawerth	PROPN
ejpam-6192	460	8	and	and	CCONJ
ejpam-6192	460	9	e.	e.	PROPN
ejpam-6192	460	10	sinzinger	sinzinger	PROPN
ejpam-6192	460	11	.	.	PUNCT
ejpam-6192	461	1	lattice	lattice	PROPN
ejpam-6192	461	2	boltzmann	boltzmann	PROPN
ejpam-6192	461	3	models	model	NOUN
ejpam-6192	461	4	for	for	ADP
ejpam-6192	461	5	anisotropic	anisotropic	NOUN
ejpam-6192	461	6	diffusion	diffusion	NOUN
ejpam-6192	461	7	of	of	ADP
ejpam-6192	461	8	images	image	NOUN
ejpam-6192	461	9	.	.	PUNCT
ejpam-6192	462	1	journal	journal	NOUN
ejpam-6192	462	2	of	of	ADP
ejpam-6192	462	3	mathematical	mathematical	ADJ
ejpam-6192	462	4	imaging	imaging	NOUN
ejpam-6192	462	5	and	and	CCONJ
ejpam-6192	462	6	vision	vision	NOUN
ejpam-6192	462	7	,	,	PUNCT
ejpam-6192	462	8	pages	page	NOUN
ejpam-6192	462	9	231–237	231–237	NUM
ejpam-6192	462	10	,	,	PUNCT
ejpam-6192	462	11	1999	1999	NUM
ejpam-6192	462	12	.	.	PUNCT
ejpam-6192	463	1	[	[	X
ejpam-6192	463	2	7	7	X
ejpam-6192	463	3	]	]	X
ejpam-6192	463	4	z.z.yan	z.z.yan	ADJ
ejpam-6192	463	5	y.chen	y.chen	NOUN
ejpam-6192	463	6	and	and	CCONJ
ejpam-6192	463	7	y.h	y.h	PROPN
ejpam-6192	463	8	.	.	PROPN
ejpam-6192	463	9	qian	qian	PROPN
ejpam-6192	463	10	.	.	PUNCT
ejpam-6192	464	1	an	an	DET
ejpam-6192	464	2	anisotropic	anisotropic	NOUN
ejpam-6192	464	3	diffusion	diffusion	NOUN
ejpam-6192	464	4	model	model	NOUN
ejpam-6192	464	5	for	for	ADP
ejpam-6192	464	6	medical	medical	ADJ
ejpam-6192	464	7	image	image	NOUN
ejpam-6192	464	8	smoothing	smooth	VERB
ejpam-6192	464	9	by	by	ADP
ejpam-6192	464	10	using	use	VERB
ejpam-6192	464	11	the	the	DET
ejpam-6192	464	12	lattice	lattice	NOUN
ejpam-6192	464	13	boltzmann	boltzmann	PROPN
ejpam-6192	464	14	method	method	PROPN
ejpam-6192	464	15	.	.	PUNCT
ejpam-6192	465	1	ifmbe	ifmbe	NOUN
ejpam-6192	465	2	proceeding	proceeding	NOUN
ejpam-6192	465	3	of	of	ADP
ejpam-6192	465	4	apcmbe2008	apcmbe2008	PROPN
ejpam-6192	465	5	,	,	PUNCT
ejpam-6192	465	6	pages	page	NOUN
ejpam-6192	465	7	255–259	255–259	NUM
ejpam-6192	465	8	,	,	PUNCT
ejpam-6192	465	9	2008	2008	NUM
ejpam-6192	465	10	.	.	PUNCT
ejpam-6192	466	1	[	[	X
ejpam-6192	466	2	8	8	NUM
ejpam-6192	466	3	]	]	PUNCT
ejpam-6192	466	4	q.	q.	PROPN
ejpam-6192	466	5	s.	s.	PROPN
ejpam-6192	466	6	chang	chang	PROPN
ejpam-6192	466	7	and	and	CCONJ
ejpam-6192	466	8	y.	y.	PROPN
ejpam-6192	466	9	tong	tong	PROPN
ejpam-6192	466	10	.	.	PUNCT
ejpam-6192	467	1	a	a	DET
ejpam-6192	467	2	lattice	lattice	PROPN
ejpam-6192	467	3	boltzmann	boltzmann	PROPN
ejpam-6192	467	4	method	method	NOUN
ejpam-6192	467	5	for	for	ADP
ejpam-6192	467	6	image	image	NOUN
ejpam-6192	467	7	denoising	denoise	VERB
ejpam-6192	467	8	.	.	PUNCT
ejpam-6192	468	1	ieee	ieee	NOUN
ejpam-6192	468	2	transactions	transaction	NOUN
ejpam-6192	468	3	on	on	ADP
ejpam-6192	468	4	image	image	NOUN
ejpam-6192	468	5	processing	processing	NOUN
ejpam-6192	468	6	,	,	PUNCT
ejpam-6192	468	7	18:2797–2802	18:2797–2802	NUM
ejpam-6192	468	8	,	,	PUNCT
ejpam-6192	468	9	2009	2009	NUM
ejpam-6192	468	10	.	.	PUNCT
ejpam-6192	469	1	[	[	X
ejpam-6192	469	2	9	9	NUM
ejpam-6192	469	3	]	]	X
ejpam-6192	469	4	v.	v.	ADP
ejpam-6192	469	5	caselles	caselle	NOUN
ejpam-6192	469	6	m.	m.	NOUN
ejpam-6192	469	7	bertamlio	bertamlio	NOUN
ejpam-6192	469	8	,	,	PUNCT
ejpam-6192	469	9	g.	g.	PROPN
ejpam-6192	469	10	sapiro	sapiro	PROPN
ejpam-6192	469	11	and	and	CCONJ
ejpam-6192	469	12	c.	c.	PROPN
ejpam-6192	469	13	ballester	ballester	NOUN
ejpam-6192	469	14	.	.	PUNCT
ejpam-6192	470	1	image	image	NOUN
ejpam-6192	470	2	inpainting	inpainte	VERB
ejpam-6192	470	3	.	.	PUNCT
ejpam-6192	471	1	proceedings	proceeding	NOUN
ejpam-6192	471	2	of	of	ADP
ejpam-6192	471	3	the	the	DET
ejpam-6192	471	4	acm	acm	PROPN
ejpam-6192	471	5	siggraph	siggraph	PROPN
ejpam-6192	471	6	conference	conference	NOUN
ejpam-6192	471	7	on	on	ADP
ejpam-6192	471	8	computer	computer	NOUN
ejpam-6192	471	9	graphics	graphic	NOUN
ejpam-6192	471	10	,	,	PUNCT
ejpam-6192	471	11	page	page	NOUN
ejpam-6192	471	12	417–424	417–424	NUM
ejpam-6192	471	13	,	,	PUNCT
ejpam-6192	471	14	2000	2000	NUM
ejpam-6192	471	15	.	.	PUNCT
ejpam-6192	472	1	[	[	X
ejpam-6192	472	2	10	10	NUM
ejpam-6192	472	3	]	]	X
ejpam-6192	472	4	a.	a.	NOUN
ejpam-6192	472	5	l.	l.	PROPN
ejpam-6192	472	6	bertozzi	bertozzi	PROPN
ejpam-6192	472	7	m.	m.	PROPN
ejpam-6192	472	8	bertalmio	bertalmio	PROPN
ejpam-6192	472	9	and	and	CCONJ
ejpam-6192	472	10	g.	g.	PROPN
ejpam-6192	472	11	sapiro	sapiro	PROPN
ejpam-6192	472	12	.	.	PUNCT
ejpam-6192	473	1	navier	navier	NOUN
ejpam-6192	473	2	-	-	PUNCT
ejpam-6192	473	3	stokes	stokes	PROPN
ejpam-6192	473	4	,	,	PUNCT
ejpam-6192	473	5	fluid	fluid	ADJ
ejpam-6192	473	6	dynamics	dynamic	NOUN
ejpam-6192	473	7	,	,	PUNCT
ejpam-6192	473	8	and	and	CCONJ
ejpam-6192	473	9	image	image	NOUN
ejpam-6192	473	10	and	and	CCONJ
ejpam-6192	473	11	video	video	NOUN
ejpam-6192	473	12	inpainting	inpainting	NOUN
ejpam-6192	473	13	.	.	PUNCT
ejpam-6192	474	1	proceedings	proceeding	NOUN
ejpam-6192	474	2	of	of	ADP
ejpam-6192	474	3	the	the	DET
ejpam-6192	474	4	2001	2001	NUM
ejpam-6192	474	5	ieee	ieee	NOUN
ejpam-6192	474	6	computer	computer	NOUN
ejpam-6192	474	7	society	society	PROPN
ejpam-6192	474	8	conference	conference	NOUN
ejpam-6192	474	9	on	on	ADP
ejpam-6192	474	10	computer	computer	NOUN
ejpam-6192	474	11	vision	vision	NOUN
ejpam-6192	474	12	and	and	CCONJ
ejpam-6192	474	13	pattern	pattern	NOUN
ejpam-6192	474	14	recognition	recognition	NOUN
ejpam-6192	474	15	.	.	PUNCT
ejpam-6192	475	1	cvpr	cvpr	NOUN
ejpam-6192	475	2	2001	2001	NUM
ejpam-6192	475	3	,	,	PUNCT
ejpam-6192	475	4	1	1	NUM
ejpam-6192	475	5	:	:	PUNCT
ejpam-6192	475	6	i	i	PRON
ejpam-6192	475	7	–	–	PUNCT
ejpam-6192	475	8	i	i	PRON
ejpam-6192	475	9	,	,	PUNCT
ejpam-6192	475	10	2001	2001	NUM
ejpam-6192	475	11	.	.	PUNCT
ejpam-6192	476	1	[	[	X
ejpam-6192	476	2	11	11	NUM
ejpam-6192	476	3	]	]	X
ejpam-6192	476	4	t	t	PROPN
ejpam-6192	476	5	t.	t.	PROPN
ejpam-6192	476	6	chan	chan	PROPN
ejpam-6192	476	7	.	.	PUNCT
ejpam-6192	477	1	local	local	ADJ
ejpam-6192	477	2	inpainting	inpainting	ADJ
ejpam-6192	477	3	models	model	NOUN
ejpam-6192	477	4	and	and	CCONJ
ejpam-6192	477	5	tv	tv	NOUN
ejpam-6192	477	6	inpainting	inpainting	NOUN
ejpam-6192	477	7	.	.	PUNCT
ejpam-6192	478	1	siam	siam	PROPN
ejpam-6192	478	2	j.	j.	PROPN
ejpam-6192	478	3	appl	appl	PROPN
ejpam-6192	478	4	.	.	PROPN
ejpam-6192	478	5	math	math	PROPN
ejpam-6192	478	6	,	,	PUNCT
ejpam-6192	478	7	62:1019–1043	62:1019–1043	NOUN
ejpam-6192	478	8	,	,	PUNCT
ejpam-6192	478	9	2001	2001	NUM
ejpam-6192	478	10	.	.	PUNCT
ejpam-6192	479	1	[	[	X
ejpam-6192	479	2	12	12	NUM
ejpam-6192	479	3	]	]	X
ejpam-6192	479	4	riya	riya	PROPN
ejpam-6192	479	5	shah	shah	PROPN
ejpam-6192	479	6	,	,	PUNCT
ejpam-6192	479	7	anjali	anjali	PROPN
ejpam-6192	479	8	gautam	gautam	PROPN
ejpam-6192	479	9	,	,	PUNCT
ejpam-6192	479	10	and	and	CCONJ
ejpam-6192	479	11	satish	satish	PROPN
ejpam-6192	479	12	kumar	kumar	PROPN
ejpam-6192	479	13	singh	singh	PROPN
ejpam-6192	479	14	.	.	PUNCT
ejpam-6192	480	1	overview	overview	NOUN
ejpam-6192	480	2	of	of	ADP
ejpam-6192	480	3	image	image	NOUN
ejpam-6192	480	4	inpainting	inpainte	VERB
ejpam-6192	480	5	techniques	technique	NOUN
ejpam-6192	480	6	:	:	PUNCT
ejpam-6192	480	7	a	a	DET
ejpam-6192	480	8	survey	survey	NOUN
ejpam-6192	480	9	.	.	PUNCT
ejpam-6192	481	1	pages	page	NOUN
ejpam-6192	481	2	1–6	1–6	NUM
ejpam-6192	481	3	,	,	PUNCT
ejpam-6192	481	4	2022	2022	NUM
ejpam-6192	481	5	.	.	PUNCT
ejpam-6192	482	1	[	[	X
ejpam-6192	482	2	13	13	NUM
ejpam-6192	482	3	]	]	PUNCT
ejpam-6192	482	4	haodong	haodong	PROPN
ejpam-6192	482	5	li	li	PROPN
ejpam-6192	482	6	,	,	PUNCT
ejpam-6192	482	7	weiqi	weiqi	PROPN
ejpam-6192	482	8	luo	luo	PROPN
ejpam-6192	482	9	,	,	PUNCT
ejpam-6192	482	10	and	and	CCONJ
ejpam-6192	482	11	jiwu	jiwu	PROPN
ejpam-6192	482	12	huang	huang	PROPN
ejpam-6192	482	13	.	.	PUNCT
ejpam-6192	483	1	localization	localization	NOUN
ejpam-6192	483	2	of	of	ADP
ejpam-6192	483	3	diffusion	diffusion	NOUN
ejpam-6192	483	4	-	-	PUNCT
ejpam-6192	483	5	based	base	VERB
ejpam-6192	483	6	inpainting	inpainting	NOUN
ejpam-6192	483	7	in	in	ADP
ejpam-6192	483	8	digital	digital	ADJ
ejpam-6192	483	9	images	image	NOUN
ejpam-6192	483	10	.	.	PUNCT
ejpam-6192	484	1	ieee	ieee	NOUN
ejpam-6192	484	2	transactions	transaction	NOUN
ejpam-6192	484	3	on	on	ADP
ejpam-6192	484	4	information	information	NOUN
ejpam-6192	484	5	forensics	forensic	NOUN
ejpam-6192	484	6	and	and	CCONJ
ejpam-6192	484	7	security	security	NOUN
ejpam-6192	484	8	,	,	PUNCT
ejpam-6192	484	9	12(12):3050–3064	12(12):3050–3064	NUM
ejpam-6192	484	10	,	,	PUNCT
ejpam-6192	484	11	2017	2017	NUM
ejpam-6192	484	12	.	.	PUNCT
ejpam-6192	485	1	[	[	X
ejpam-6192	485	2	14	14	NUM
ejpam-6192	485	3	]	]	PUNCT
ejpam-6192	485	4	s.	s.	PROPN
ejpam-6192	485	5	liu	liu	PROPN
ejpam-6192	485	6	y.	y.	PROPN
ejpam-6192	485	7	wei	wei	PROPN
ejpam-6192	485	8	.	.	PUNCT
ejpam-6192	486	1	domain	domain	NOUN
ejpam-6192	486	2	-	-	PUNCT
ejpam-6192	486	3	based	base	VERB
ejpam-6192	486	4	structure	structure	NOUN
ejpam-6192	486	5	-	-	PUNCT
ejpam-6192	486	6	aware	aware	ADJ
ejpam-6192	486	7	image	image	NOUN
ejpam-6192	486	8	inpainting	inpainte	VERB
ejpam-6192	486	9	.	.	PUNCT
ejpam-6192	487	1	signal	signal	NOUN
ejpam-6192	487	2	,	,	PUNCT
ejpam-6192	487	3	image	image	NOUN
ejpam-6192	487	4	and	and	CCONJ
ejpam-6192	487	5	video	video	NOUN
ejpam-6192	487	6	processing10	processing10	PROPN
ejpam-6192	487	7	,	,	PUNCT
ejpam-6192	487	8	5:911–919	5:911–919	PROPN
ejpam-6192	487	9	,	,	PUNCT
ejpam-6192	487	10	2016	2016	NUM
ejpam-6192	487	11	.	.	PUNCT
ejpam-6192	488	1	[	[	X
ejpam-6192	488	2	15	15	NUM
ejpam-6192	488	3	]	]	X
ejpam-6192	488	4	g.	g.	PROPN
ejpam-6192	488	5	yang	yang	PROPN
ejpam-6192	488	6	d.	d.	PROPN
ejpam-6192	488	7	zhang	zhang	PROPN
ejpam-6192	488	8	,	,	PUNCT
ejpam-6192	488	9	z.	z.	PROPN
ejpam-6192	488	10	liang	liang	PROPN
ejpam-6192	488	11	,	,	PUNCT
ejpam-6192	488	12	q.	q.	PROPN
ejpam-6192	488	13	li	li	PROPN
ejpam-6192	488	14	,	,	PUNCT
ejpam-6192	488	15	l.	l.	PROPN
ejpam-6192	488	16	li	li	PROPN
ejpam-6192	488	17	,	,	PUNCT
ejpam-6192	488	18	and	and	CCONJ
ejpam-6192	488	19	x.	x.	NOUN
ejpam-6192	488	20	sun	sun	PROPN
ejpam-6192	488	21	.	.	PUNCT
ejpam-6192	489	1	a	a	DET
ejpam-6192	489	2	robust	robust	ADJ
ejpam-6192	489	3	forgery	forgery	NOUN
ejpam-6192	489	4	detection	detection	NOUN
ejpam-6192	489	5	algorithm	algorithm	NOUN
ejpam-6192	489	6	for	for	ADP
ejpam-6192	489	7	object	object	NOUN
ejpam-6192	489	8	removal	removal	NOUN
ejpam-6192	489	9	by	by	ADP
ejpam-6192	489	10	exemplar	exemplar	NOUN
ejpam-6192	489	11	-	-	PUNCT
ejpam-6192	489	12	based	base	VERB
ejpam-6192	489	13	image	image	NOUN
ejpam-6192	489	14	inpainting	inpainte	VERB
ejpam-6192	489	15	77	77	NUM
ejpam-6192	489	16	.	.	PUNCT
ejpam-6192	490	1	signal	signal	NOUN
ejpam-6192	490	2	,	,	PUNCT
ejpam-6192	490	3	image	image	NOUN
ejpam-6192	490	4	and	and	CCONJ
ejpam-6192	490	5	video	video	NOUN
ejpam-6192	490	6	processing10	processing10	NOUN
ejpam-6192	490	7	,	,	PUNCT
ejpam-6192	490	8	10:11823–11842	10:11823–11842	NUM
ejpam-6192	490	9	,	,	PUNCT
ejpam-6192	490	10	2018	2018	NUM
ejpam-6192	490	11	.	.	PUNCT
ejpam-6192	491	1	[	[	X
ejpam-6192	491	2	16	16	NUM
ejpam-6192	491	3	]	]	PUNCT
ejpam-6192	491	4	m.	m.	NOUN
ejpam-6192	491	5	li	li	PROPN
ejpam-6192	491	6	z.	z.	PROPN
ejpam-6192	491	7	yan	yan	PROPN
ejpam-6192	491	8	,	,	PUNCT
ejpam-6192	491	9	x.	x.	PROPN
ejpam-6192	491	10	li	li	PROPN
ejpam-6192	491	11	,	,	PUNCT
ejpam-6192	491	12	w.	w.	PROPN
ejpam-6192	491	13	zuo	zuo	PROPN
ejpam-6192	491	14	,	,	PUNCT
ejpam-6192	491	15	and	and	CCONJ
ejpam-6192	491	16	s.	s.	PROPN
ejpam-6192	491	17	shan	shan	PROPN
ejpam-6192	491	18	.	.	PUNCT
ejpam-6192	492	1	shift	shift	NOUN
ejpam-6192	492	2	-	-	PUNCT
ejpam-6192	492	3	net	net	NOUN
ejpam-6192	492	4	:	:	PUNCT
ejpam-6192	492	5	image	image	NOUN
ejpam-6192	492	6	inpainting	inpainte	VERB
ejpam-6192	492	7	via	via	ADP
ejpam-6192	492	8	deep	deep	ADJ
ejpam-6192	492	9	feature	feature	NOUN
ejpam-6192	492	10	y.	y.	PROPN
ejpam-6192	492	11	douich	douich	PROPN
ejpam-6192	492	12	et	et	PROPN
ejpam-6192	493	1	al	al	PROPN
ejpam-6192	493	2	.	.	PUNCT
ejpam-6192	493	3	/	/	SYM
ejpam-6192	493	4	eur	eur	PROPN
ejpam-6192	493	5	.	.	PUNCT
ejpam-6192	494	1	j.	j.	PROPN
ejpam-6192	494	2	pure	pure	PROPN
ejpam-6192	494	3	appl	appl	PROPN
ejpam-6192	494	4	.	.	PROPN
ejpam-6192	494	5	math	math	PROPN
ejpam-6192	494	6	,	,	PUNCT
ejpam-6192	494	7	18	18	NUM
ejpam-6192	494	8	(	(	PUNCT
ejpam-6192	494	9	3	3	NUM
ejpam-6192	494	10	)	)	PUNCT
ejpam-6192	494	11	(	(	PUNCT
ejpam-6192	494	12	2025	2025	NUM
ejpam-6192	494	13	)	)	PUNCT
ejpam-6192	494	14	,	,	PUNCT
ejpam-6192	494	15	6192	6192	NUM
ejpam-6192	494	16	31	31	NUM
ejpam-6192	494	17	of	of	ADP
ejpam-6192	494	18	32	32	NUM
ejpam-6192	494	19	rearrangement	rearrangement	NOUN
ejpam-6192	494	20	.	.	PUNCT
ejpam-6192	495	1	in	in	ADP
ejpam-6192	495	2	:	:	PUNCT
ejpam-6192	495	3	proceedings	proceeding	NOUN
ejpam-6192	495	4	of	of	ADP
ejpam-6192	495	5	the	the	DET
ejpam-6192	495	6	european	european	PROPN
ejpam-6192	495	7	conference	conference	PROPN
ejpam-6192	495	8	on	on	ADP
ejpam-6192	495	9	computer	computer	NOUN
ejpam-6192	495	10	vision	vision	NOUN
ejpam-6192	495	11	,	,	PUNCT
ejpam-6192	495	12	pages	page	NOUN
ejpam-6192	495	13	1–17	1–17	PROPN
ejpam-6192	495	14	,	,	PUNCT
ejpam-6192	495	15	2018	2018	NUM
ejpam-6192	495	16	.	.	PUNCT
ejpam-6192	496	1	[	[	X
ejpam-6192	496	2	17	17	NUM
ejpam-6192	496	3	]	]	PUNCT
ejpam-6192	496	4	h.	h.	PROPN
ejpam-6192	496	5	chao	chao	PROPN
ejpam-6192	496	6	y.	y.	PROPN
ejpam-6192	496	7	zeng	zeng	PROPN
ejpam-6192	496	8	,	,	PUNCT
ejpam-6192	496	9	j.	j.	PROPN
ejpam-6192	496	10	fu	fu	PROPN
ejpam-6192	496	11	and	and	CCONJ
ejpam-6192	496	12	b.	b.	PROPN
ejpam-6192	496	13	guo	guo	PROPN
ejpam-6192	496	14	.	.	PUNCT
ejpam-6192	497	1	learning	learn	VERB
ejpam-6192	497	2	pyramid	pyramid	NOUN
ejpam-6192	497	3	-	-	PUNCT
ejpam-6192	497	4	context	context	NOUN
ejpam-6192	497	5	encoder	encoder	NOUN
ejpam-6192	497	6	network	network	NOUN
ejpam-6192	497	7	for	for	ADP
ejpam-6192	497	8	highquality	highquality	NOUN
ejpam-6192	497	9	image	image	NOUN
ejpam-6192	497	10	inpainting	inpainte	VERB
ejpam-6192	497	11	.	.	PUNCT
ejpam-6192	498	1	in	in	ADP
ejpam-6192	498	2	:	:	PUNCT
ejpam-6192	498	3	proceedings	proceeding	NOUN
ejpam-6192	498	4	of	of	ADP
ejpam-6192	498	5	the	the	DET
ejpam-6192	498	6	ieee	ieee	NOUN
ejpam-6192	498	7	conference	conference	NOUN
ejpam-6192	498	8	on	on	ADP
ejpam-6192	498	9	computer	computer	NOUN
ejpam-6192	498	10	visionand	visionand	NOUN
ejpam-6192	498	11	pattern	pattern	NOUN
ejpam-6192	498	12	recognition	recognition	NOUN
ejpam-6192	498	13	,	,	PUNCT
ejpam-6192	498	14	pages	page	NOUN
ejpam-6192	498	15	1486–1494	1486–1494	NUM
ejpam-6192	498	16	,	,	PUNCT
ejpam-6192	498	17	2019	2019	NUM
ejpam-6192	498	18	.	.	PUNCT
ejpam-6192	499	1	[	[	X
ejpam-6192	499	2	18	18	NUM
ejpam-6192	499	3	]	]	PUNCT
ejpam-6192	499	4	z.	z.	PROPN
ejpam-6192	499	5	lin	lin	PROPN
ejpam-6192	499	6	n.	n.	PROPN
ejpam-6192	499	7	cai	cai	PROPN
ejpam-6192	499	8	,	,	PUNCT
ejpam-6192	499	9	z.	z.	PROPN
ejpam-6192	499	10	su	su	PROPN
ejpam-6192	499	11	,	,	PUNCT
ejpam-6192	499	12	h.	h.	PROPN
ejpam-6192	499	13	wang	wang	PROPN
ejpam-6192	499	14	,	,	PUNCT
ejpam-6192	499	15	z.	z.	PROPN
ejpam-6192	499	16	yang	yang	PROPN
ejpam-6192	499	17	,	,	PUNCT
ejpam-6192	499	18	and	and	CCONJ
ejpam-6192	499	19	b.	b.	PROPN
ejpam-6192	499	20	w.-k	w.-k	PROPN
ejpam-6192	499	21	.	.	PUNCT
ejpam-6192	500	1	ling	ling	PROPN
ejpam-6192	500	2	.	.	PUNCT
ejpam-6192	501	1	blind	blind	ADJ
ejpam-6192	501	2	inpainting	inpainte	VERB
ejpam-6192	501	3	using	use	VERB
ejpam-6192	501	4	thefully	thefully	ADV
ejpam-6192	501	5	convolutional	convolutional	ADJ
ejpam-6192	501	6	neural	neural	ADJ
ejpam-6192	501	7	network	network	NOUN
ejpam-6192	501	8	.	.	PUNCT
ejpam-6192	502	1	the	the	DET
ejpam-6192	502	2	visual	visual	ADJ
ejpam-6192	502	3	computer	computer	NOUN
ejpam-6192	502	4	33	33	NUM
ejpam-6192	502	5	,	,	PUNCT
ejpam-6192	502	6	2:249–261	2:249–261	NUM
ejpam-6192	502	7	,	,	PUNCT
ejpam-6192	502	8	2017	2017	NUM
ejpam-6192	502	9	.	.	PUNCT
ejpam-6192	503	1	[	[	X
ejpam-6192	503	2	19	19	NUM
ejpam-6192	503	3	]	]	X
ejpam-6192	503	4	ji	ji	PROPN
ejpam-6192	503	5	zhao	zhao	PROPN
ejpam-6192	503	6	,	,	PUNCT
ejpam-6192	503	7	zhiqiang	zhiqiang	PROPN
ejpam-6192	503	8	chen	chen	PROPN
ejpam-6192	503	9	,	,	PUNCT
ejpam-6192	503	10	li	li	PROPN
ejpam-6192	503	11	zhang	zhang	PROPN
ejpam-6192	503	12	,	,	PUNCT
ejpam-6192	503	13	and	and	CCONJ
ejpam-6192	503	14	xin	xin	PROPN
ejpam-6192	503	15	jin	jin	PROPN
ejpam-6192	503	16	.	.	PUNCT
ejpam-6192	504	1	unsupervised	unsupervised	ADJ
ejpam-6192	504	2	learnable	learnable	ADJ
ejpam-6192	504	3	sinogram	sinogram	NOUN
ejpam-6192	504	4	inpainting	inpainte	VERB
ejpam-6192	504	5	network	network	NOUN
ejpam-6192	504	6	(	(	PUNCT
ejpam-6192	504	7	sin	sin	NOUN
ejpam-6192	504	8	)	)	PUNCT
ejpam-6192	504	9	for	for	ADP
ejpam-6192	504	10	limited	limited	ADJ
ejpam-6192	504	11	angle	angle	NOUN
ejpam-6192	504	12	ct	ct	PROPN
ejpam-6192	504	13	reconstruction	reconstruction	NOUN
ejpam-6192	504	14	,	,	PUNCT
ejpam-6192	504	15	2018	2018	NUM
ejpam-6192	504	16	.	.	PUNCT
ejpam-6192	505	1	[	[	X
ejpam-6192	505	2	20	20	NUM
ejpam-6192	505	3	]	]	PUNCT
ejpam-6192	505	4	x.	x.	NOUN
ejpam-6192	505	5	zhao	zhao	PROPN
ejpam-6192	505	6	x.	x.	PROPN
ejpam-6192	505	7	zhu	zhu	PROPN
ejpam-6192	505	8	,	,	PUNCT
ejpam-6192	505	9	y.	y.	PROPN
ejpam-6192	505	10	qian	qian	PROPN
ejpam-6192	505	11	,	,	PUNCT
ejpam-6192	505	12	b.	b.	PROPN
ejpam-6192	505	13	sun	sun	PROPN
ejpam-6192	505	14	,	,	PUNCT
ejpam-6192	505	15	and	and	CCONJ
ejpam-6192	505	16	y.	y.	PROPN
ejpam-6192	505	17	sun	sun	PROPN
ejpam-6192	505	18	.	.	PUNCT
ejpam-6192	506	1	a	a	DET
ejpam-6192	506	2	deep	deep	ADJ
ejpam-6192	506	3	learning	learning	NOUN
ejpam-6192	506	4	approach	approach	NOUN
ejpam-6192	506	5	to	to	ADP
ejpam-6192	506	6	patchbased	patchbased	ADJ
ejpam-6192	506	7	image	image	NOUN
ejpam-6192	506	8	inpainting	inpainte	VERB
ejpam-6192	506	9	forensicsk	forensicsk	NOUN
ejpam-6192	506	10	.	.	PUNCT
ejpam-6192	507	1	signal	signal	ADJ
ejpam-6192	507	2	processing	processing	NOUN
ejpam-6192	507	3	:	:	PUNCT
ejpam-6192	507	4	image	image	NOUN
ejpam-6192	507	5	communication	communication	NOUN
ejpam-6192	507	6	,	,	PUNCT
ejpam-6192	507	7	67:90	67:90	NUM
ejpam-6192	507	8	–	–	PUNCT
ejpam-6192	507	9	99	99	NUM
ejpam-6192	507	10	,	,	PUNCT
ejpam-6192	507	11	2018	2018	NUM
ejpam-6192	507	12	.	.	PUNCT
ejpam-6192	508	1	[	[	X
ejpam-6192	508	2	21	21	NUM
ejpam-6192	508	3	]	]	PUNCT
ejpam-6192	508	4	z.	z.	PROPN
ejpam-6192	508	5	yu	yu	PROPN
ejpam-6192	508	6	liu	liu	PROPN
ejpam-6192	508	7	y.-l	y.-l	PROPN
ejpam-6192	508	8	.	.	PUNCT
ejpam-6192	509	1	chang	chang	PROPN
ejpam-6192	509	2	,	,	PUNCT
ejpam-6192	509	3	w.	w.	PROPN
ejpam-6192	509	4	hsu	hsu	PROPN
ejpam-6192	509	5	,	,	PUNCT
ejpam-6192	509	6	and	and	CCONJ
ejpam-6192	509	7	vornet	vornet	NOUN
ejpam-6192	509	8	.	.	PUNCT
ejpam-6192	510	1	spatio	spatio	PROPN
ejpam-6192	510	2	-	-	PUNCT
ejpam-6192	510	3	temporally	temporally	ADV
ejpam-6192	510	4	consistent	consistent	ADJ
ejpam-6192	510	5	video	video	NOUN
ejpam-6192	510	6	inpainting	inpainte	VERB
ejpam-6192	510	7	for	for	ADP
ejpam-6192	510	8	object	object	NOUN
ejpam-6192	510	9	removal	removal	NOUN
ejpam-6192	510	10	.	.	PUNCT
ejpam-6192	511	1	in	in	ADP
ejpam-6192	511	2	:	:	PUNCT
ejpam-6192	511	3	proceedings	proceeding	NOUN
ejpam-6192	511	4	of	of	ADP
ejpam-6192	511	5	the	the	DET
ejpam-6192	511	6	ieee	ieee	NOUN
ejpam-6192	511	7	conference	conference	NOUN
ejpam-6192	511	8	on	on	ADP
ejpam-6192	511	9	computer	computer	NOUN
ejpam-6192	511	10	vision	vision	NOUN
ejpam-6192	511	11	and	and	CCONJ
ejpam-6192	511	12	pattern	pattern	NOUN
ejpam-6192	511	13	recognition	recognition	NOUN
ejpam-6192	511	14	workshops	workshop	NOUN
ejpam-6192	511	15	,	,	PUNCT
ejpam-6192	511	16	2019	2019	NUM
ejpam-6192	511	17	.	.	PUNCT
ejpam-6192	512	1	[	[	X
ejpam-6192	512	2	22	22	NUM
ejpam-6192	512	3	]	]	PUNCT
ejpam-6192	512	4	s.	s.	PROPN
ejpam-6192	512	5	iizuka	iizuka	PROPN
ejpam-6192	512	6	k.	k.	PROPN
ejpam-6192	512	7	sasaki	sasaki	PROPN
ejpam-6192	512	8	,	,	PUNCT
ejpam-6192	512	9	e.	e.	PROPN
ejpam-6192	512	10	simo	simo	PROPN
ejpam-6192	512	11	-	-	PUNCT
ejpam-6192	512	12	serra	serra	PROPN
ejpam-6192	512	13	,	,	PUNCT
ejpam-6192	512	14	and	and	CCONJ
ejpam-6192	512	15	h.	h.	PROPN
ejpam-6192	512	16	ishikawa	ishikawa	PROPN
ejpam-6192	512	17	.	.	PUNCT
ejpam-6192	513	1	joint	joint	ADJ
ejpam-6192	513	2	gap	gap	NOUN
ejpam-6192	513	3	detection	detection	NOUN
ejpam-6192	513	4	and	and	CCONJ
ejpam-6192	513	5	inpainting	inpainte	VERB
ejpam-6192	513	6	of	of	ADP
ejpam-6192	513	7	line	line	NOUN
ejpam-6192	513	8	drawings	drawing	NOUN
ejpam-6192	513	9	.	.	PUNCT
ejpam-6192	514	1	in	in	ADP
ejpam-6192	514	2	:	:	PUNCT
ejpam-6192	514	3	proceedings	proceeding	NOUN
ejpam-6192	514	4	of	of	ADP
ejpam-6192	514	5	the	the	DET
ejpam-6192	514	6	ieee	ieee	NOUN
ejpam-6192	514	7	conference	conference	NOUN
ejpam-6192	514	8	on	on	ADP
ejpam-6192	514	9	computer	computer	NOUN
ejpam-6192	514	10	vision	vision	NOUN
ejpam-6192	514	11	and	and	CCONJ
ejpam-6192	514	12	pattern	pattern	NOUN
ejpam-6192	514	13	recognition	recognition	NOUN
ejpam-6192	514	14	,	,	PUNCT
ejpam-6192	514	15	pages	page	NOUN
ejpam-6192	514	16	5725–5733	5725–5733	NUM
ejpam-6192	514	17	,	,	PUNCT
ejpam-6192	514	18	2017	2017	NUM
ejpam-6192	514	19	.	.	PUNCT
ejpam-6192	515	1	[	[	X
ejpam-6192	515	2	23	23	NUM
ejpam-6192	515	3	]	]	PUNCT
ejpam-6192	515	4	hongyu	hongyu	PROPN
ejpam-6192	515	5	liu	liu	PROPN
ejpam-6192	515	6	,	,	PUNCT
ejpam-6192	515	7	bin	bin	PROPN
ejpam-6192	515	8	jiang	jiang	PROPN
ejpam-6192	515	9	,	,	PUNCT
ejpam-6192	515	10	yi	yi	PROPN
ejpam-6192	515	11	xiao	xiao	PROPN
ejpam-6192	515	12	,	,	PUNCT
ejpam-6192	515	13	and	and	CCONJ
ejpam-6192	515	14	chao	chao	PROPN
ejpam-6192	515	15	yang	yang	PROPN
ejpam-6192	515	16	.	.	PUNCT
ejpam-6192	516	1	coherent	coherent	ADJ
ejpam-6192	516	2	semantic	semantic	ADJ
ejpam-6192	516	3	attention	attention	NOUN
ejpam-6192	516	4	for	for	ADP
ejpam-6192	516	5	image	image	NOUN
ejpam-6192	516	6	inpainting	inpainting	NOUN
ejpam-6192	516	7	,	,	PUNCT
ejpam-6192	516	8	2019	2019	NUM
ejpam-6192	516	9	.	.	PUNCT
ejpam-6192	517	1	[	[	X
ejpam-6192	517	2	24	24	NUM
ejpam-6192	517	3	]	]	PUNCT
ejpam-6192	517	4	h.	h.	PROPN
ejpam-6192	517	5	chao	chao	PROPN
ejpam-6192	517	6	y.	y.	PROPN
ejpam-6192	517	7	zeng	zeng	PROPN
ejpam-6192	517	8	,	,	PUNCT
ejpam-6192	517	9	j.	j.	PROPN
ejpam-6192	517	10	fu	fu	PROPN
ejpam-6192	517	11	and	and	CCONJ
ejpam-6192	517	12	b.	b.	PROPN
ejpam-6192	517	13	guo	guo	PROPN
ejpam-6192	517	14	.	.	PUNCT
ejpam-6192	518	1	learning	learn	VERB
ejpam-6192	518	2	pyramid	pyramid	NOUN
ejpam-6192	518	3	-	-	PUNCT
ejpam-6192	518	4	context	context	NOUN
ejpam-6192	518	5	encoder	encoder	NOUN
ejpam-6192	518	6	network	network	NOUN
ejpam-6192	518	7	for	for	ADP
ejpam-6192	518	8	highquality	highquality	NOUN
ejpam-6192	518	9	image	image	NOUN
ejpam-6192	518	10	inpainting	inpainte	VERB
ejpam-6192	518	11	.	.	PUNCT
ejpam-6192	519	1	in	in	ADP
ejpam-6192	519	2	:	:	PUNCT
ejpam-6192	519	3	proceedings	proceeding	NOUN
ejpam-6192	519	4	of	of	ADP
ejpam-6192	519	5	the	the	DET
ejpam-6192	519	6	ieee	ieee	NOUN
ejpam-6192	519	7	conference	conference	NOUN
ejpam-6192	519	8	on	on	ADP
ejpam-6192	519	9	computer	computer	NOUN
ejpam-6192	519	10	vision	vision	NOUN
ejpam-6192	519	11	and	and	CCONJ
ejpam-6192	519	12	pattern	pattern	NOUN
ejpam-6192	519	13	recognition	recognition	NOUN
ejpam-6192	519	14	,	,	PUNCT
ejpam-6192	519	15	pages	page	NOUN
ejpam-6192	519	16	1486–1494	1486–1494	NUM
ejpam-6192	519	17	,	,	PUNCT
ejpam-6192	519	18	2019	2019	NUM
ejpam-6192	519	19	.	.	PUNCT
ejpam-6192	520	1	[	[	X
ejpam-6192	520	2	25	25	NUM
ejpam-6192	520	3	]	]	PUNCT
ejpam-6192	520	4	j.	j.	PROPN
ejpam-6192	520	5	xiao	xiao	PROPN
ejpam-6192	520	6	l.	l.	PROPN
ejpam-6192	520	7	liao	liao	PROPN
ejpam-6192	520	8	,	,	PUNCT
ejpam-6192	520	9	r.	r.	PROPN
ejpam-6192	520	10	hu	hu	PROPN
ejpam-6192	520	11	and	and	CCONJ
ejpam-6192	520	12	z.	z.	PROPN
ejpam-6192	520	13	wang	wang	PROPN
ejpam-6192	520	14	.	.	PUNCT
ejpam-6192	521	1	artist	artist	NOUN
ejpam-6192	521	2	-	-	PUNCT
ejpam-6192	521	3	net	net	NOUN
ejpam-6192	521	4	:	:	PUNCT
ejpam-6192	521	5	decorating	decorate	VERB
ejpam-6192	521	6	the	the	DET
ejpam-6192	521	7	inferred	infer	VERB
ejpam-6192	521	8	content	content	NOUN
ejpam-6192	521	9	with	with	ADP
ejpam-6192	521	10	unified	unified	ADJ
ejpam-6192	521	11	style	style	NOUN
ejpam-6192	521	12	for	for	ADP
ejpam-6192	521	13	image	image	NOUN
ejpam-6192	521	14	inpainting	inpainte	VERB
ejpam-6192	521	15	.	.	PUNCT
ejpam-6192	522	1	ieee	ieee	NOUN
ejpam-6192	522	2	access	access	NOUN
ejpam-6192	522	3	,	,	PUNCT
ejpam-6192	522	4	7:36921–36933	7:36921–36933	NUM
ejpam-6192	522	5	,	,	PUNCT
ejpam-6192	522	6	2019	2019	NUM
ejpam-6192	522	7	.	.	PUNCT
ejpam-6192	523	1	[	[	X
ejpam-6192	523	2	26	26	NUM
ejpam-6192	523	3	]	]	X
ejpam-6192	523	4	g.	g.	PROPN
ejpam-6192	523	5	wang	wang	PROPN
ejpam-6192	523	6	c.	c.	PROPN
ejpam-6192	523	7	hsu	hsu	PROPN
ejpam-6192	523	8	,	,	PUNCT
ejpam-6192	523	9	f.	f.	PROPN
ejpam-6192	523	10	chen	chen	PROPN
ejpam-6192	523	11	.	.	PUNCT
ejpam-6192	524	1	high	high	ADJ
ejpam-6192	524	2	-	-	PUNCT
ejpam-6192	524	3	resolution	resolution	NOUN
ejpam-6192	524	4	image	image	NOUN
ejpam-6192	524	5	inpainting	inpainte	VERB
ejpam-6192	524	6	through	through	ADP
ejpam-6192	524	7	multiple	multiple	ADJ
ejpam-6192	524	8	deep	deep	ADJ
ejpam-6192	524	9	networks	network	NOUN
ejpam-6192	524	10	.	.	PUNCT
ejpam-6192	525	1	2017international	2017international	ADJ
ejpam-6192	525	2	conference	conference	NOUN
ejpam-6192	525	3	on	on	ADP
ejpam-6192	525	4	vision	vision	NOUN
ejpam-6192	525	5	,	,	PUNCT
ejpam-6192	525	6	image	image	NOUN
ejpam-6192	525	7	and	and	CCONJ
ejpam-6192	525	8	signal	signal	NOUN
ejpam-6192	525	9	processing	processing	NOUN
ejpam-6192	525	10	(	(	PUNCT
ejpam-6192	525	11	icvisp	icvisp	NOUN
ejpam-6192	525	12	)	)	PUNCT
ejpam-6192	525	13	,	,	PUNCT
ejpam-6192	525	14	ieee	ieee	NOUN
ejpam-6192	525	15	,	,	PUNCT
ejpam-6192	525	16	pages	page	NOUN
ejpam-6192	525	17	76–81	76–81	NUM
ejpam-6192	525	18	,	,	PUNCT
ejpam-6192	525	19	2017	2017	NUM
ejpam-6192	525	20	.	.	PUNCT
ejpam-6192	526	1	[	[	X
ejpam-6192	526	2	27	27	NUM
ejpam-6192	526	3	]	]	X
ejpam-6192	526	4	f.	f.	PROPN
ejpam-6192	526	5	yaghmaee	yaghmaee	PROPN
ejpam-6192	527	1	v.	v.	ADP
ejpam-6192	527	2	k.	k.	PROPN
ejpam-6192	527	3	alilou	alilou	PROPN
ejpam-6192	527	4	.	.	PUNCT
ejpam-6192	528	1	application	application	NOUN
ejpam-6192	528	2	of	of	ADP
ejpam-6192	528	3	grnn	grnn	PROPN
ejpam-6192	528	4	neural	neural	ADJ
ejpam-6192	528	5	network	network	NOUN
ejpam-6192	528	6	in	in	ADP
ejpam-6192	528	7	non	non	ADJ
ejpam-6192	528	8	-	-	ADJ
ejpam-6192	528	9	texture	texture	ADJ
ejpam-6192	528	10	image	image	NOUN
ejpam-6192	528	11	inpainting	inpainting	NOUN
ejpam-6192	528	12	and	and	CCONJ
ejpam-6192	528	13	restoration	restoration	NOUN
ejpam-6192	528	14	.	.	PUNCT
ejpam-6192	529	1	pattern	pattern	NOUN
ejpam-6192	529	2	recognition	recognition	NOUN
ejpam-6192	529	3	letters	letter	NOUN
ejpam-6192	529	4	,	,	PUNCT
ejpam-6192	529	5	62:24–31	62:24–31	PROPN
ejpam-6192	529	6	,	,	PUNCT
ejpam-6192	529	7	2015	2015	NUM
ejpam-6192	529	8	.	.	PUNCT
ejpam-6192	530	1	[	[	X
ejpam-6192	530	2	28	28	NUM
ejpam-6192	530	3	]	]	PUNCT
ejpam-6192	530	4	k.	k.	PROPN
ejpam-6192	531	1	yanai	yanai	PROPN
ejpam-6192	531	2	t.	t.	PROPN
ejpam-6192	531	3	nakamura	nakamura	PROPN
ejpam-6192	531	4	,	,	PUNCT
ejpam-6192	531	5	a.	a.	PROPN
ejpam-6192	531	6	zhu	zhu	PROPN
ejpam-6192	531	7	and	and	CCONJ
ejpam-6192	531	8	s.	s.	PROPN
ejpam-6192	531	9	uchida	uchida	PROPN
ejpam-6192	531	10	.	.	PUNCT
ejpam-6192	532	1	scene	scene	PROPN
ejpam-6192	532	2	text	text	NOUN
ejpam-6192	532	3	eraser	eraser	NOUN
ejpam-6192	532	4	,	,	PUNCT
ejpam-6192	532	5	.	.	PUNCT
ejpam-6192	533	1	in	in	ADP
ejpam-6192	533	2	:	:	PUNCT
ejpam-6192	533	3	2017	2017	NUM
ejpam-6192	533	4	14th	14th	NOUN
ejpam-6192	533	5	iapr	iapr	VERB
ejpam-6192	533	6	internationalconference	internationalconference	NOUN
ejpam-6192	533	7	on	on	ADP
ejpam-6192	533	8	document	document	NOUN
ejpam-6192	533	9	analysis	analysis	NOUN
ejpam-6192	533	10	and	and	CCONJ
ejpam-6192	533	11	recognition	recognition	NOUN
ejpam-6192	533	12	(	(	PUNCT
ejpam-6192	533	13	icdar	icdar	NOUN
ejpam-6192	533	14	)	)	PUNCT
ejpam-6192	533	15	ieee	ieee	NOUN
ejpam-6192	533	16	,	,	PUNCT
ejpam-6192	533	17	1:832–837	1:832–837	NUM
ejpam-6192	533	18	,	,	PUNCT
ejpam-6192	533	19	2017	2017	NUM
ejpam-6192	533	20	.	.	PUNCT
ejpam-6192	534	1	[	[	X
ejpam-6192	534	2	29	29	NUM
ejpam-6192	534	3	]	]	PUNCT
ejpam-6192	534	4	j.	j.	PROPN
ejpam-6192	534	5	cheng	cheng	PROPN
ejpam-6192	534	6	p.	p.	PROPN
ejpam-6192	534	7	xiang	xiang	PROPN
ejpam-6192	534	8	,	,	PUNCT
ejpam-6192	534	9	l.	l.	PROPN
ejpam-6192	534	10	wang	wang	PROPN
ejpam-6192	534	11	,	,	PUNCT
ejpam-6192	534	12	b.	b.	PROPN
ejpam-6192	534	13	zhang	zhang	PROPN
ejpam-6192	534	14	,	,	PUNCT
ejpam-6192	534	15	and	and	CCONJ
ejpam-6192	534	16	j.	j.	PROPN
ejpam-6192	534	17	wu	wu	PROPN
ejpam-6192	534	18	.	.	PUNCT
ejpam-6192	535	1	a	a	DET
ejpam-6192	535	2	deep	deep	ADJ
ejpam-6192	535	3	network	network	NOUN
ejpam-6192	535	4	architecture	architecture	NOUN
ejpam-6192	535	5	for	for	ADP
ejpam-6192	535	6	image	image	NOUN
ejpam-6192	535	7	inpainting	inpainting	NOUN
ejpam-6192	535	8	.	.	PUNCT
ejpam-6192	536	1	in:2017	in:2017	X
ejpam-6192	536	2	3rd	3rd	ADJ
ejpam-6192	536	3	ieee	ieee	PROPN
ejpam-6192	536	4	international	international	PROPN
ejpam-6192	536	5	conferenceon	conferenceon	PROPN
ejpam-6192	536	6	computer	computer	NOUN
ejpam-6192	536	7	and	and	CCONJ
ejpam-6192	536	8	communications	communication	NOUN
ejpam-6192	536	9	(	(	PUNCT
ejpam-6192	536	10	iccc	iccc	PROPN
ejpam-6192	536	11	)	)	PUNCT
ejpam-6192	536	12	,	,	PUNCT
ejpam-6192	536	13	ieee	ieee	NOUN
ejpam-6192	536	14	,	,	PUNCT
ejpam-6192	536	15	pages	page	NOUN
ejpam-6192	536	16	1851–1856	1851–1856	NUM
ejpam-6192	536	17	,	,	PUNCT
ejpam-6192	536	18	2017	2017	NUM
ejpam-6192	536	19	.	.	PUNCT
ejpam-6192	537	1	[	[	X
ejpam-6192	537	2	30	30	NUM
ejpam-6192	537	3	]	]	X
ejpam-6192	537	4	xiuxia	xiuxia	PROPN
ejpam-6192	537	5	cai	cai	PROPN
ejpam-6192	537	6	,	,	PUNCT
ejpam-6192	537	7	song	song	NOUN
ejpam-6192	537	8	,	,	PUNCT
ejpam-6192	537	9	and	and	CCONJ
ejpam-6192	537	10	bin	bin	NOUN
ejpam-6192	537	11	.	.	PUNCT
ejpam-6192	537	12	semantic	semantic	ADJ
ejpam-6192	537	13	object	object	NOUN
ejpam-6192	537	14	removal	removal	NOUN
ejpam-6192	537	15	with	with	ADP
ejpam-6192	537	16	convolutional	convolutional	ADJ
ejpam-6192	537	17	neural	neural	ADJ
ejpam-6192	537	18	network	network	NOUN
ejpam-6192	537	19	feature	feature	NOUN
ejpam-6192	537	20	-	-	PUNCT
ejpam-6192	537	21	based	base	VERB
ejpam-6192	537	22	inpainting	inpainting	ADJ
ejpam-6192	537	23	approach	approach	NOUN
ejpam-6192	537	24	.	.	PUNCT
ejpam-6192	538	1	multimedia	multimedia	NOUN
ejpam-6192	538	2	systems	system	NOUN
ejpam-6192	538	3	,	,	PUNCT
ejpam-6192	538	4	24:597–609	24:597–609	NUM
ejpam-6192	538	5	,	,	PUNCT
ejpam-6192	538	6	2018	2018	NUM
ejpam-6192	538	7	.	.	PUNCT
ejpam-6192	539	1	[	[	X
ejpam-6192	539	2	31	31	NUM
ejpam-6192	539	3	]	]	PUNCT
ejpam-6192	539	4	oleksii	oleksii	ADJ
ejpam-6192	539	5	sidorov	sidorov	NOUN
ejpam-6192	539	6	and	and	CCONJ
ejpam-6192	539	7	jon	jon	PROPN
ejpam-6192	539	8	yngve	yngve	PROPN
ejpam-6192	539	9	hardeberg	hardeberg	PROPN
ejpam-6192	539	10	.	.	PUNCT
ejpam-6192	540	1	deep	deep	ADJ
ejpam-6192	540	2	hyperspectral	hyperspectral	ADJ
ejpam-6192	540	3	prior	prior	ADV
ejpam-6192	540	4	:	:	PUNCT
ejpam-6192	541	1	denoising	denoise	VERB
ejpam-6192	541	2	,	,	PUNCT
ejpam-6192	541	3	inpainting	inpainting	ADJ
ejpam-6192	541	4	,	,	PUNCT
ejpam-6192	541	5	super	super	NOUN
ejpam-6192	541	6	-	-	NOUN
ejpam-6192	541	7	resolution	resolution	NOUN
ejpam-6192	541	8	,	,	PUNCT
ejpam-6192	541	9	2019	2019	NUM
ejpam-6192	541	10	.	.	PUNCT
ejpam-6192	542	1	[	[	X
ejpam-6192	542	2	32	32	NUM
ejpam-6192	542	3	]	]	PUNCT
ejpam-6192	542	4	j.	j.	PROPN
ejpam-6192	542	5	donahue	donahue	PROPN
ejpam-6192	542	6	d.	d.	PROPN
ejpam-6192	542	7	pathak	pathak	PROPN
ejpam-6192	542	8	,	,	PUNCT
ejpam-6192	542	9	p.	p.	PROPN
ejpam-6192	542	10	krahenbuhl	krahenbuhl	PROPN
ejpam-6192	542	11	,	,	PUNCT
ejpam-6192	542	12	t.	t.	PROPN
ejpam-6192	542	13	darrell	darrell	PROPN
ejpam-6192	542	14	,	,	PUNCT
ejpam-6192	542	15	and	and	CCONJ
ejpam-6192	542	16	a.	a.	NOUN
ejpam-6192	542	17	a.	a.	PROPN
ejpam-6192	542	18	efros	efros	PROPN
ejpam-6192	542	19	.	.	PUNCT
ejpam-6192	543	1	context	context	PROPN
ejpam-6192	543	2	encoders	encoder	NOUN
ejpam-6192	543	3	:	:	PUNCT
ejpam-6192	543	4	feature	feature	NOUN
ejpam-6192	543	5	learning	learn	VERB
ejpam-6192	543	6	by	by	ADP
ejpam-6192	543	7	inpainting	inpainte	VERB
ejpam-6192	543	8	.	.	PUNCT
ejpam-6192	544	1	n	n	CCONJ
ejpam-6192	544	2	:	:	PUNCT
ejpam-6192	544	3	proceedings	proceeding	NOUN
ejpam-6192	544	4	of	of	ADP
ejpam-6192	544	5	the	the	DET
ejpam-6192	544	6	ieee	ieee	NOUN
ejpam-6192	544	7	conference	conference	NOUN
ejpam-6192	544	8	on	on	ADP
ejpam-6192	544	9	computer	computer	NOUN
ejpam-6192	544	10	vision	vision	NOUN
ejpam-6192	544	11	and	and	CCONJ
ejpam-6192	544	12	pattern	pattern	NOUN
ejpam-6192	544	13	recognition	recognition	NOUN
ejpam-6192	544	14	,	,	PUNCT
ejpam-6192	544	15	pages	page	NOUN
ejpam-6192	544	16	2536–2544	2536–2544	NUM
ejpam-6192	544	17	,	,	PUNCT
ejpam-6192	544	18	2016	2016	NUM
ejpam-6192	544	19	.	.	PUNCT
ejpam-6192	545	1	y.	y.	PROPN
ejpam-6192	545	2	douich	douich	PROPN
ejpam-6192	545	3	et	et	PROPN
ejpam-6192	545	4	al	al	PROPN
ejpam-6192	545	5	.	.	PUNCT
ejpam-6192	545	6	/	/	SYM
ejpam-6192	545	7	eur	eur	PROPN
ejpam-6192	545	8	.	.	PUNCT
ejpam-6192	546	1	j.	j.	PROPN
ejpam-6192	546	2	pure	pure	PROPN
ejpam-6192	546	3	appl	appl	PROPN
ejpam-6192	546	4	.	.	PROPN
ejpam-6192	546	5	math	math	PROPN
ejpam-6192	546	6	,	,	PUNCT
ejpam-6192	546	7	18	18	NUM
ejpam-6192	546	8	(	(	PUNCT
ejpam-6192	546	9	3	3	NUM
ejpam-6192	546	10	)	)	PUNCT
ejpam-6192	546	11	(	(	PUNCT
ejpam-6192	546	12	2025	2025	NUM
ejpam-6192	546	13	)	)	PUNCT
ejpam-6192	546	14	,	,	PUNCT
ejpam-6192	546	15	6192	6192	NUM
ejpam-6192	546	16	32	32	NUM
ejpam-6192	546	17	of	of	ADP
ejpam-6192	546	18	32	32	NUM
ejpam-6192	546	19	[	[	SYM
ejpam-6192	546	20	33	33	NUM
ejpam-6192	546	21	]	]	PUNCT
ejpam-6192	546	22	a.	a.	NOUN
ejpam-6192	546	23	gupta	gupta	PROPN
ejpam-6192	546	24	c.	c.	PROPN
ejpam-6192	546	25	doersch	doersch	PROPN
ejpam-6192	546	26	,	,	PUNCT
ejpam-6192	546	27	s.	s.	PROPN
ejpam-6192	546	28	singh	singh	PROPN
ejpam-6192	546	29	,	,	PUNCT
ejpam-6192	546	30	j.	j.	PROPN
ejpam-6192	546	31	sivic	sivic	PROPN
ejpam-6192	546	32	,	,	PUNCT
ejpam-6192	546	33	and	and	CCONJ
ejpam-6192	546	34	a.	a.	NOUN
ejpam-6192	546	35	a.	a.	PROPN
ejpam-6192	546	36	efros	efros	PROPN
ejpam-6192	546	37	.	.	PUNCT
ejpam-6192	547	1	what	what	PRON
ejpam-6192	547	2	makes	make	VERB
ejpam-6192	547	3	paris	paris	PROPN
ejpam-6192	547	4	look	look	VERB
ejpam-6192	547	5	like	like	ADP
ejpam-6192	547	6	paris	paris	PROPN
ejpam-6192	547	7	?	?	PUNCT
ejpam-6192	548	1	communications	communication	NOUN
ejpam-6192	548	2	of	of	ADP
ejpam-6192	548	3	the	the	DET
ejpam-6192	548	4	acm	acm	PROPN
ejpam-6192	548	5	58	58	NUM
ejpam-6192	548	6	,	,	PUNCT
ejpam-6192	548	7	12:103–110	12:103–110	NUM
ejpam-6192	548	8	,	,	PUNCT
ejpam-6192	548	9	2015	2015	NUM
ejpam-6192	548	10	.	.	PUNCT
ejpam-6192	549	1	[	[	X
ejpam-6192	549	2	34	34	NUM
ejpam-6192	549	3	]	]	PUNCT
ejpam-6192	549	4	a.	a.	PROPN
ejpam-6192	549	5	khosla	khosla	PROPN
ejpam-6192	549	6	b.	b.	PROPN
ejpam-6192	549	7	zhou	zhou	PROPN
ejpam-6192	549	8	,	,	PUNCT
ejpam-6192	549	9	a.	a.	PROPN
ejpam-6192	549	10	lapedriza	lapedriza	PROPN
ejpam-6192	549	11	,	,	PUNCT
ejpam-6192	549	12	a.	a.	NOUN
ejpam-6192	549	13	oliva	oliva	PROPN
ejpam-6192	549	14	,	,	PUNCT
ejpam-6192	549	15	a.	a.	NOUN
ejpam-6192	549	16	torralba	torralba	PROPN
ejpam-6192	549	17	,	,	PUNCT
ejpam-6192	549	18	and	and	CCONJ
ejpam-6192	549	19	places	place	NOUN
ejpam-6192	549	20	.	.	PUNCT
ejpam-6192	550	1	a	a	DET
ejpam-6192	550	2	10	10	NUM
ejpam-6192	550	3	million	million	NUM
ejpam-6192	550	4	image	image	NOUN
ejpam-6192	550	5	database	database	NOUN
ejpam-6192	550	6	for	for	ADP
ejpam-6192	550	7	scene	scene	NOUN
ejpam-6192	550	8	recognition	recognition	NOUN
ejpam-6192	550	9	.	.	PUNCT
ejpam-6192	551	1	ieee	ieee	NOUN
ejpam-6192	551	2	transactions	transaction	NOUN
ejpam-6192	551	3	on	on	ADP
ejpam-6192	551	4	pattern	pattern	NOUN
ejpam-6192	551	5	analysis	analysis	NOUN
ejpam-6192	551	6	and	and	CCONJ
ejpam-6192	551	7	machine	machine	NOUN
ejpam-6192	551	8	intelligence	intelligence	NOUN
ejpam-6192	551	9	40	40	NUM
ejpam-6192	551	10	,	,	PUNCT
ejpam-6192	551	11	6:1452–1464	6:1452–1464	NUM
ejpam-6192	551	12	,	,	PUNCT
ejpam-6192	551	13	2017	2017	NUM
ejpam-6192	551	14	.	.	PUNCT
ejpam-6192	552	1	[	[	X
ejpam-6192	552	2	35	35	NUM
ejpam-6192	552	3	]	]	PUNCT
ejpam-6192	552	4	s.	s.	PROPN
ejpam-6192	552	5	zhang	zhang	PROPN
ejpam-6192	552	6	h.	h.	PROPN
ejpam-6192	552	7	xue	xue	PROPN
ejpam-6192	552	8	and	and	CCONJ
ejpam-6192	552	9	d.	d.	PROPN
ejpam-6192	552	10	cai	cai	PROPN
ejpam-6192	552	11	.	.	PUNCT
ejpam-6192	553	1	depth	depth	NOUN
ejpam-6192	553	2	image	image	NOUN
ejpam-6192	553	3	inpainting	inpainte	VERB
ejpam-6192	553	4	:	:	PUNCT
ejpam-6192	553	5	improving	improve	VERB
ejpam-6192	553	6	low	low	ADJ
ejpam-6192	553	7	rank	rank	NOUN
ejpam-6192	553	8	matrix	matrix	NOUN
ejpam-6192	553	9	completion	completion	NOUN
ejpam-6192	553	10	with	with	ADP
ejpam-6192	553	11	low	low	ADJ
ejpam-6192	553	12	gradient	gradient	ADJ
ejpam-6192	553	13	regularization	regularization	NOUN
ejpam-6192	553	14	.	.	PUNCT
ejpam-6192	554	1	ieee	ieee	NOUN
ejpam-6192	554	2	transactions	transaction	NOUN
ejpam-6192	554	3	on	on	ADP
ejpam-6192	554	4	image	image	NOUN
ejpam-6192	554	5	processing	process	VERB
ejpam-6192	554	6	26	26	NUM
ejpam-6192	554	7	,	,	PUNCT
ejpam-6192	554	8	9:4311–4320	9:4311–4320	NUM
ejpam-6192	554	9	,	,	PUNCT
ejpam-6192	554	10	2017	2017	NUM
ejpam-6192	554	11	.	.	PUNCT
ejpam-6192	555	1	[	[	X
ejpam-6192	555	2	36	36	NUM
ejpam-6192	555	3	]	]	X
ejpam-6192	555	4	c.	c.	PROPN
ejpam-6192	555	5	fowlkes	fowlke	NOUN
ejpam-6192	555	6	d.	d.	PROPN
ejpam-6192	555	7	martin	martin	PROPN
ejpam-6192	555	8	,	,	PUNCT
ejpam-6192	555	9	d.	d.	PROPN
ejpam-6192	555	10	tala	tala	PROPN
ejpam-6192	555	11	j.	j.	PROPN
ejpam-6192	555	12	malik	malik	PROPN
ejpam-6192	555	13	,	,	PUNCT
ejpam-6192	555	14	and	and	CCONJ
ejpam-6192	555	15	et	et	PROPN
ejpam-6192	555	16	al	al	PROPN
ejpam-6192	555	17	.	.	PUNCT
ejpam-6192	556	1	a	a	DET
ejpam-6192	556	2	database	database	NOUN
ejpam-6192	556	3	of	of	ADP
ejpam-6192	556	4	human	human	ADJ
ejpam-6192	556	5	segmented	segment	VERB
ejpam-6192	556	6	natural	natural	ADJ
ejpam-6192	556	7	images	image	NOUN
ejpam-6192	556	8	and	and	CCONJ
ejpam-6192	556	9	its	its	PRON
ejpam-6192	556	10	application	application	NOUN
ejpam-6192	556	11	to	to	ADP
ejpam-6192	556	12	evaluating	evaluate	VERB
ejpam-6192	556	13	segmentation	segmentation	NOUN
ejpam-6192	556	14	algorithms	algorithm	NOUN
ejpam-6192	556	15	and	and	CCONJ
ejpam-6192	556	16	measuring	measure	VERB
ejpam-6192	556	17	ecological	ecological	ADJ
ejpam-6192	556	18	statistics	statistic	NOUN
ejpam-6192	556	19	.	.	PUNCT
ejpam-6192	557	1	iccv	iccv	PROPN
ejpam-6192	557	2	vancouver	vancouver	PROPN
ejpam-6192	557	3	,	,	PUNCT
ejpam-6192	557	4	pages	page	VERB
ejpam-6192	557	5	4311–4320	4311–4320	NUM
ejpam-6192	557	6	,	,	PUNCT
ejpam-6192	557	7	2001	2001	NUM
ejpam-6192	557	8	.	.	PUNCT
ejpam-6192	558	1	[	[	X
ejpam-6192	558	2	37	37	NUM
ejpam-6192	558	3	]	]	X
ejpam-6192	558	4	h.	h.	PROPN
ejpam-6192	558	5	su	su	PROPN
ejpam-6192	558	6	o.	o.	PROPN
ejpam-6192	558	7	russakovsky	russakovsky	PROPN
ejpam-6192	558	8	,	,	PUNCT
ejpam-6192	558	9	j.	j.	PROPN
ejpam-6192	558	10	deng	deng	PROPN
ejpam-6192	558	11	,	,	PUNCT
ejpam-6192	558	12	j.	j.	PROPN
ejpam-6192	558	13	krause	krause	PROPN
ejpam-6192	558	14	,	,	PUNCT
ejpam-6192	558	15	s.	s.	PROPN
ejpam-6192	558	16	satheesh	satheesh	PROPN
ejpam-6192	558	17	,	,	PUNCT
ejpam-6192	558	18	s.	s.	PROPN
ejpam-6192	558	19	ma	ma	PROPN
ejpam-6192	558	20	,	,	PUNCT
ejpam-6192	558	21	z.	z.	PROPN
ejpam-6192	558	22	huang	huang	PROPN
ejpam-6192	558	23	,	,	PUNCT
ejpam-6192	558	24	a.	a.	PROPN
ejpam-6192	558	25	karpathy	karpathy	PROPN
ejpam-6192	558	26	,	,	PUNCT
ejpam-6192	558	27	a.	a.	NOUN
ejpam-6192	558	28	khosla	khosla	PROPN
ejpam-6192	558	29	,	,	PUNCT
ejpam-6192	558	30	m.	m.	PROPN
ejpam-6192	558	31	bernstein	bernstein	PROPN
ejpam-6192	558	32	,	,	PUNCT
ejpam-6192	558	33	and	and	CCONJ
ejpam-6192	558	34	et	et	PROPN
ejpam-6192	558	35	al	al	PROPN
ejpam-6192	558	36	.	.	PROPN
ejpam-6192	558	37	imagenet	imagenet	PROPN
ejpam-6192	558	38	large	large	ADJ
ejpam-6192	558	39	scale	scale	NOUN
ejpam-6192	558	40	visual	visual	ADJ
ejpam-6192	558	41	recognition	recognition	NOUN
ejpam-6192	558	42	challenge	challenge	NOUN
ejpam-6192	558	43	.	.	PUNCT
ejpam-6192	559	1	international	international	ADJ
ejpam-6192	559	2	journal	journal	NOUN
ejpam-6192	559	3	of	of	ADP
ejpam-6192	559	4	computer	computer	NOUN
ejpam-6192	559	5	vision	vision	NOUN
ejpam-6192	559	6	115	115	NUM
ejpam-6192	559	7	,	,	PUNCT
ejpam-6192	559	8	3:211–252	3:211–252	NUM
ejpam-6192	559	9	,	,	PUNCT
ejpam-6192	559	10	2015	2015	NUM
ejpam-6192	559	11	.	.	PUNCT
ejpam-6192	560	1	[	[	X
ejpam-6192	560	2	38	38	NUM
ejpam-6192	560	3	]	]	PUNCT
ejpam-6192	560	4	x.	x.	NOUN
ejpam-6192	560	5	wang	wang	PROPN
ejpam-6192	560	6	z.	z.	PROPN
ejpam-6192	560	7	liu	liu	PROPN
ejpam-6192	560	8	,	,	PUNCT
ejpam-6192	560	9	p.	p.	PROPN
ejpam-6192	560	10	luo	luo	PROPN
ejpam-6192	560	11	and	and	CCONJ
ejpam-6192	560	12	x.	x.	PROPN
ejpam-6192	560	13	tang	tang	PROPN
ejpam-6192	560	14	.	.	PUNCT
ejpam-6192	561	1	large	large	ADJ
ejpam-6192	561	2	-	-	PUNCT
ejpam-6192	561	3	scale	scale	NOUN
ejpam-6192	561	4	celeb	celeb	NOUN
ejpam-6192	561	5	faces	face	VERB
ejpam-6192	561	6	attributes	attribute	NOUN
ejpam-6192	561	7	(	(	PUNCT
ejpam-6192	561	8	celeba	celeba	PROPN
ejpam-6192	561	9	)	)	PUNCT
ejpam-6192	561	10	dataset	dataset	NOUN
ejpam-6192	561	11	.	.	PUNCT
ejpam-6192	562	1	retrieved	retrieve	VERB
ejpam-6192	562	2	august15	august15	NOUN
ejpam-6192	562	3	2018	2018	NUM
ejpam-6192	562	4	,	,	PUNCT
ejpam-6192	562	5	2018	2018	NUM
ejpam-6192	562	6	.	.	PUNCT
ejpam-6192	563	1	[	[	X
ejpam-6192	563	2	39	39	NUM
ejpam-6192	563	3	]	]	X
ejpam-6192	563	4	bastien	bastien	PROPN
ejpam-6192	563	5	chopard	chopard	PROPN
ejpam-6192	563	6	,	,	PUNCT
ejpam-6192	563	7	jean	jean	PROPN
ejpam-6192	563	8	-	-	PUNCT
ejpam-6192	563	9	luc	luc	PROPN
ejpam-6192	563	10	falcone	falcone	NOUN
ejpam-6192	563	11	,	,	PUNCT
ejpam-6192	563	12	and	and	CCONJ
ejpam-6192	563	13	jonas	jonas	PROPN
ejpam-6192	563	14	latt	latt	PROPN
ejpam-6192	563	15	.	.	PUNCT
ejpam-6192	564	1	the	the	DET
ejpam-6192	564	2	lattice	lattice	PROPN
ejpam-6192	564	3	boltzmann	boltzmann	PROPN
ejpam-6192	564	4	advection	advection	NOUN
ejpam-6192	564	5	-	-	PUNCT
ejpam-6192	564	6	diffusion	diffusion	NOUN
ejpam-6192	564	7	model	model	NOUN
ejpam-6192	564	8	revisited	revisit	VERB
ejpam-6192	564	9	.	.	PUNCT
ejpam-6192	565	1	european	european	PROPN
ejpam-6192	565	2	physical	physical	PROPN
ejpam-6192	565	3	journal	journal	PROPN
ejpam-6192	565	4	:	:	PUNCT
ejpam-6192	565	5	special	special	ADJ
ejpam-6192	565	6	topics	topic	NOUN
ejpam-6192	565	7	,	,	PUNCT
ejpam-6192	565	8	171:245–249	171:245–249	NUM
ejpam-6192	565	9	,	,	PUNCT
ejpam-6192	565	10	2009	2009	NUM
ejpam-6192	565	11	.	.	PUNCT
ejpam-6192	566	1	[	[	X
ejpam-6192	566	2	40	40	NUM
ejpam-6192	566	3	]	]	X
ejpam-6192	566	4	j	j	PROPN
ejpam-6192	566	5	perona	perona	PROPN
ejpam-6192	566	6	,	,	PUNCT
ejpam-6192	566	7	p.and	p.and	PROPN
ejpam-6192	566	8	malik	malik	PROPN
ejpam-6192	566	9	.	.	PUNCT
ejpam-6192	567	1	scale	scale	NOUN
ejpam-6192	567	2	space	space	NOUN
ejpam-6192	567	3	and	and	CCONJ
ejpam-6192	567	4	edge	edge	NOUN
ejpam-6192	567	5	detection	detection	NOUN
ejpam-6192	567	6	using	use	VERB
ejpam-6192	567	7	anisotropic	anisotropic	NOUN
ejpam-6192	567	8	diffusion	diffusion	NOUN
ejpam-6192	567	9	.	.	PUNCT
ejpam-6192	568	1	ieee	ieee	PROPN
ejpam-6192	568	2	trans	trans	PROPN
ejpam-6192	568	3	.	.	PUNCT
ejpam-6192	568	4	pattern	pattern	PROPN
ejpam-6192	568	5	anal	anal	NOUN
ejpam-6192	568	6	.	.	PUNCT
ejpam-6192	569	1	mach.intell	mach.intell	PROPN
ejpam-6192	569	2	,	,	PUNCT
ejpam-6192	569	3	pages	page	NOUN
ejpam-6192	569	4	629–639	629–639	NUM
ejpam-6192	569	5	,	,	PUNCT
ejpam-6192	569	6	1990	1990	NUM
ejpam-6192	569	7	.	.	PUNCT
ejpam-6192	570	1	[	[	X
ejpam-6192	570	2	41	41	NUM
ejpam-6192	570	3	]	]	X
ejpam-6192	570	4	leonid	leonid	PROPN
ejpam-6192	570	5	rudin	rudin	PROPN
ejpam-6192	570	6	,	,	PUNCT
ejpam-6192	570	7	stanley	stanley	PROPN
ejpam-6192	570	8	osher	osher	PROPN
ejpam-6192	570	9	,	,	PUNCT
ejpam-6192	570	10	and	and	CCONJ
ejpam-6192	570	11	emad	emad	PROPN
ejpam-6192	570	12	fatemi	fatemi	PROPN
ejpam-6192	570	13	.	.	PUNCT
ejpam-6192	571	1	nonlinear	nonlinear	ADJ
ejpam-6192	571	2	total	total	ADJ
ejpam-6192	571	3	variation	variation	NOUN
ejpam-6192	571	4	based	base	VERB
ejpam-6192	571	5	noise	noise	NOUN
ejpam-6192	571	6	removal	removal	NOUN
ejpam-6192	571	7	algorithms	algorithm	NOUN
ejpam-6192	571	8	.	.	PUNCT
ejpam-6192	572	1	physica	physica	NOUN
ejpam-6192	572	2	d	d	NOUN
ejpam-6192	572	3	:	:	PUNCT
ejpam-6192	572	4	nonlinear	nonlinear	ADJ
ejpam-6192	572	5	phenomena	phenomenon	NOUN
ejpam-6192	572	6	,	,	PUNCT
ejpam-6192	572	7	60:259–268	60:259–268	NUM
ejpam-6192	572	8	,	,	PUNCT
ejpam-6192	572	9	11	11	NUM
ejpam-6192	572	10	1992	1992	NUM
ejpam-6192	572	11	.	.	PUNCT
