id	sid	tid	token	lemma	pos
ispiv-190	1	1	14th	14th	ADJ
ispiv-190	1	2	international	international	ADJ
ispiv-190	1	3	symposium	symposium	NOUN
ispiv-190	1	4	on	on	ADP
ispiv-190	1	5	particle	particle	NOUN
ispiv-190	1	6	image	image	NOUN
ispiv-190	1	7	velocimetry	velocimetry	NOUN
ispiv-190	1	8	–	–	PUNCT
ispiv-190	1	9	ispiv	ispiv	NOUN
ispiv-190	1	10	2021	2021	NUM
ispiv-190	1	11	august	august	PROPN
ispiv-190	1	12	1–5	1–5	NUM
ispiv-190	1	13	,	,	PUNCT
ispiv-190	1	14	2021	2021	NUM
ispiv-190	1	15	lagrangian	lagrangian	ADJ
ispiv-190	1	16	strainand	strainand	NOUN
ispiv-190	1	17	rotation	rotation	NOUN
ispiv-190	1	18	-	-	PUNCT
ispiv-190	1	19	rate	rate	NOUN
ispiv-190	1	20	tensor	tensor	NOUN
ispiv-190	1	21	evaluation	evaluation	NOUN
ispiv-190	1	22	based	base	VERB
ispiv-190	1	23	on	on	ADP
ispiv-190	1	24	multi	multi	ADJ
ispiv-190	1	25	-	-	ADJ
ispiv-190	1	26	pulse	pulse	ADJ
ispiv-190	1	27	particle	particle	NOUN
ispiv-190	1	28	tracking	tracking	NOUN
ispiv-190	1	29	velocimetry	velocimetry	NOUN
ispiv-190	1	30	(	(	PUNCT
ispiv-190	1	31	mptv	mptv	ADJ
ispiv-190	1	32	)	)	PUNCT
ispiv-190	1	33	and	and	CCONJ
ispiv-190	1	34	radial	radial	ADJ
ispiv-190	1	35	basis	basis	NOUN
ispiv-190	1	36	functions	function	NOUN
ispiv-190	1	37	(	(	PUNCT
ispiv-190	1	38	rbfs	rbfs	NOUN
ispiv-190	1	39	)	)	PUNCT
ispiv-190	1	40	lanyu	lanyu	NOUN
ispiv-190	1	41	li1	li1	NOUN
ispiv-190	1	42	,	,	PUNCT
ispiv-190	1	43	prabu	prabu	PROPN
ispiv-190	1	44	sellappan2	sellappan2	PROPN
ispiv-190	1	45	,	,	PUNCT
ispiv-190	1	46	peter	peter	PROPN
ispiv-190	1	47	schmid3	schmid3	PROPN
ispiv-190	1	48	,	,	PUNCT
ispiv-190	1	49	louis	louis	PROPN
ispiv-190	1	50	n.	n.	PROPN
ispiv-190	1	51	cattafesta2∗	cattafesta2∗	PROPN
ispiv-190	1	52	,	,	PUNCT
ispiv-190	1	53	jean	jean	PROPN
ispiv-190	1	54	-	-	PUNCT
ispiv-190	1	55	pierre	pierre	PROPN
ispiv-190	1	56	hickey1	hickey1	NOUN
ispiv-190	1	57	and	and	CCONJ
ispiv-190	1	58	zhao	zhao	PROPN
ispiv-190	1	59	pan1†	pan1†	PROPN
ispiv-190	1	60	1	1	NUM
ispiv-190	1	61	university	university	NOUN
ispiv-190	1	62	of	of	ADP
ispiv-190	1	63	waterloo	waterloo	PROPN
ispiv-190	1	64	,	,	PUNCT
ispiv-190	1	65	department	department	NOUN
ispiv-190	1	66	of	of	ADP
ispiv-190	1	67	mechanical	mechanical	ADJ
ispiv-190	1	68	and	and	CCONJ
ispiv-190	1	69	mechatronics	mechatronic	NOUN
ispiv-190	1	70	engineering	engineering	NOUN
ispiv-190	1	71	,	,	PUNCT
ispiv-190	1	72	on	on	ADP
ispiv-190	1	73	n2l	n2l	PROPN
ispiv-190	1	74	3g1	3g1	NUM
ispiv-190	1	75	,	,	PUNCT
ispiv-190	1	76	canada	canada	PROPN
ispiv-190	1	77	2	2	NUM
ispiv-190	1	78	florida	florida	PROPN
ispiv-190	1	79	center	center	NOUN
ispiv-190	1	80	for	for	ADP
ispiv-190	1	81	advanced	advanced	ADJ
ispiv-190	1	82	aero	aero	ADJ
ispiv-190	1	83	-	-	PUNCT
ispiv-190	1	84	propulsion	propulsion	NOUN
ispiv-190	1	85	(	(	PUNCT
ispiv-190	1	86	fcaap	fcaap	NOUN
ispiv-190	1	87	)	)	PUNCT
ispiv-190	1	88	,	,	PUNCT
ispiv-190	1	89	famu	famu	PROPN
ispiv-190	1	90	-	-	PUNCT
ispiv-190	1	91	fsu	fsu	PROPN
ispiv-190	1	92	college	college	PROPN
ispiv-190	1	93	of	of	ADP
ispiv-190	1	94	engineering	engineering	PROPN
ispiv-190	1	95	,	,	PUNCT
ispiv-190	1	96	tallahassee	tallahassee	PROPN
ispiv-190	1	97	,	,	PUNCT
ispiv-190	1	98	florida	florida	PROPN
ispiv-190	1	99	,	,	PUNCT
ispiv-190	1	100	32310	32310	NUM
ispiv-190	1	101	,	,	PUNCT
ispiv-190	1	102	us	us	PROPN
ispiv-190	1	103	3	3	NUM
ispiv-190	1	104	department	department	NOUN
ispiv-190	1	105	of	of	ADP
ispiv-190	1	106	mathematics	mathematic	NOUN
ispiv-190	1	107	,	,	PUNCT
ispiv-190	1	108	imperial	imperial	ADJ
ispiv-190	1	109	college	college	PROPN
ispiv-190	1	110	london	london	PROPN
ispiv-190	1	111	,	,	PUNCT
ispiv-190	1	112	london	london	PROPN
ispiv-190	1	113	,	,	PUNCT
ispiv-190	1	114	uk	uk	PROPN
ispiv-190	1	115	∗	∗	NOUN
ispiv-190	1	116	lcattafesta@fsu.edu	lcattafesta@fsu.edu	PROPN
ispiv-190	1	117	†	†	PROPN
ispiv-190	1	118	zhao.pan@uwaterloo.ca	zhao.pan@uwaterloo.ca	PROPN
ispiv-190	1	119	abstract	abstract	ADJ
ispiv-190	1	120	physical	physical	ADJ
ispiv-190	1	121	conservation	conservation	NOUN
ispiv-190	1	122	laws	law	NOUN
ispiv-190	1	123	are	be	AUX
ispiv-190	1	124	inherently	inherently	ADV
ispiv-190	1	125	lagrangian	lagrangian	ADJ
ispiv-190	1	126	.	.	PUNCT
ispiv-190	2	1	however	however	ADV
ispiv-190	2	2	,	,	PUNCT
ispiv-190	2	3	analyses	analysis	NOUN
ispiv-190	2	4	in	in	ADP
ispiv-190	2	5	fluid	fluid	ADJ
ispiv-190	2	6	mechanics	mechanic	NOUN
ispiv-190	2	7	using	use	VERB
ispiv-190	2	8	the	the	DET
ispiv-190	2	9	lagrangian	lagrangian	ADJ
ispiv-190	2	10	framework	framework	NOUN
ispiv-190	2	11	are	be	AUX
ispiv-190	2	12	often	often	ADV
ispiv-190	2	13	forgone	forgo	VERB
ispiv-190	2	14	in	in	ADP
ispiv-190	2	15	favor	favor	NOUN
ispiv-190	2	16	of	of	ADP
ispiv-190	2	17	those	those	PRON
ispiv-190	2	18	using	use	VERB
ispiv-190	2	19	the	the	DET
ispiv-190	2	20	eulerian	eulerian	ADJ
ispiv-190	2	21	framework	framework	NOUN
ispiv-190	2	22	.	.	PUNCT
ispiv-190	3	1	this	this	PRON
ispiv-190	3	2	is	be	AUX
ispiv-190	3	3	perhaps	perhaps	ADV
ispiv-190	3	4	due	due	ADP
ispiv-190	3	5	to	to	ADP
ispiv-190	3	6	a	a	DET
ispiv-190	3	7	lack	lack	NOUN
ispiv-190	3	8	of	of	ADP
ispiv-190	3	9	experimental	experimental	ADJ
ispiv-190	3	10	techniques	technique	NOUN
ispiv-190	3	11	with	with	ADP
ispiv-190	3	12	high	high	ADJ
ispiv-190	3	13	temporal	temporal	ADJ
ispiv-190	3	14	and	and	CCONJ
ispiv-190	3	15	spatial	spatial	ADJ
ispiv-190	3	16	resolution	resolution	NOUN
ispiv-190	3	17	that	that	PRON
ispiv-190	3	18	track	track	VERB
ispiv-190	3	19	the	the	DET
ispiv-190	3	20	movement	movement	NOUN
ispiv-190	3	21	of	of	ADP
ispiv-190	3	22	fluid	fluid	ADJ
ispiv-190	3	23	tracers	tracer	NOUN
ispiv-190	3	24	in	in	ADP
ispiv-190	3	25	a	a	DET
ispiv-190	3	26	flow	flow	NOUN
ispiv-190	3	27	domain	domain	NOUN
ispiv-190	3	28	.	.	PUNCT
ispiv-190	4	1	the	the	DET
ispiv-190	4	2	development	development	NOUN
ispiv-190	4	3	of	of	ADP
ispiv-190	4	4	time	time	NOUN
ispiv-190	4	5	-	-	PUNCT
ispiv-190	4	6	resolved	resolve	VERB
ispiv-190	4	7	particle	particle	NOUN
ispiv-190	4	8	tracking	tracking	NOUN
ispiv-190	4	9	velocimetry	velocimetry	NOUN
ispiv-190	4	10	/	/	SYM
ispiv-190	4	11	accelerometry	accelerometry	NOUN
ispiv-190	4	12	(	(	PUNCT
ispiv-190	4	13	tr	tr	VERB
ispiv-190	4	14	-	-	PUNCT
ispiv-190	4	15	ptv	ptv	X
ispiv-190	4	16	/	/	SYM
ispiv-190	4	17	a	a	NOUN
ispiv-190	4	18	)	)	PUNCT
ispiv-190	4	19	that	that	PRON
ispiv-190	4	20	measures	measure	VERB
ispiv-190	4	21	flows	flow	VERB
ispiv-190	4	22	with	with	ADP
ispiv-190	4	23	high	high	ADJ
ispiv-190	4	24	seeding	seeding	NOUN
ispiv-190	4	25	density	density	NOUN
ispiv-190	4	26	has	have	AUX
ispiv-190	4	27	made	make	VERB
ispiv-190	4	28	the	the	DET
ispiv-190	4	29	use	use	NOUN
ispiv-190	4	30	of	of	ADP
ispiv-190	4	31	the	the	DET
ispiv-190	4	32	lagrangian	lagrangian	ADJ
ispiv-190	4	33	framework	framework	NOUN
ispiv-190	4	34	more	more	ADV
ispiv-190	4	35	accessible	accessible	ADJ
ispiv-190	4	36	.	.	PUNCT
ispiv-190	5	1	a	a	DET
ispiv-190	5	2	challenge	challenge	NOUN
ispiv-190	5	3	facing	face	VERB
ispiv-190	5	4	ptv	ptv	PROPN
ispiv-190	5	5	/	/	SYM
ispiv-190	5	6	a	a	PRON
ispiv-190	5	7	is	be	AUX
ispiv-190	5	8	the	the	DET
ispiv-190	5	9	need	need	NOUN
ispiv-190	5	10	for	for	ADP
ispiv-190	5	11	robust	robust	ADJ
ispiv-190	5	12	mesh	mesh	NOUN
ispiv-190	5	13	-	-	PUNCT
ispiv-190	5	14	free	free	ADJ
ispiv-190	5	15	numerical	numerical	ADJ
ispiv-190	5	16	schemes	scheme	NOUN
ispiv-190	5	17	that	that	PRON
ispiv-190	5	18	handle	handle	VERB
ispiv-190	5	19	random	random	ADJ
ispiv-190	5	20	particle	particle	NOUN
ispiv-190	5	21	locations	location	NOUN
ispiv-190	5	22	.	.	PUNCT
ispiv-190	6	1	such	such	DET
ispiv-190	6	2	a	a	DET
ispiv-190	6	3	scheme	scheme	NOUN
ispiv-190	6	4	can	can	AUX
ispiv-190	6	5	be	be	AUX
ispiv-190	6	6	created	create	VERB
ispiv-190	6	7	with	with	ADP
ispiv-190	6	8	high	high	ADJ
ispiv-190	6	9	-	-	PUNCT
ispiv-190	6	10	order	order	NOUN
ispiv-190	6	11	accuracy	accuracy	NOUN
ispiv-190	6	12	using	use	VERB
ispiv-190	6	13	radial	radial	ADJ
ispiv-190	6	14	basis	basis	NOUN
ispiv-190	6	15	functions	function	NOUN
ispiv-190	6	16	(	(	PUNCT
ispiv-190	6	17	rbfs	rbfs	NOUN
ispiv-190	6	18	)	)	PUNCT
ispiv-190	6	19	.	.	PUNCT
ispiv-190	7	1	rbfs	rbfs	NOUN
ispiv-190	7	2	allow	allow	VERB
ispiv-190	7	3	direct	direct	ADJ
ispiv-190	7	4	evaluation	evaluation	NOUN
ispiv-190	7	5	of	of	ADP
ispiv-190	7	6	derivatives	derivative	NOUN
ispiv-190	7	7	of	of	ADP
ispiv-190	7	8	vector	vector	NOUN
ispiv-190	7	9	and	and	CCONJ
ispiv-190	7	10	scalar	scalar	ADJ
ispiv-190	7	11	fields	field	NOUN
ispiv-190	7	12	at	at	ADP
ispiv-190	7	13	random	random	ADJ
ispiv-190	7	14	locations	location	NOUN
ispiv-190	7	15	with	with	ADP
ispiv-190	7	16	infinite	infinite	ADJ
ispiv-190	7	17	-	-	PUNCT
ispiv-190	7	18	order	order	NOUN
ispiv-190	7	19	smoothness	smoothness	NOUN
ispiv-190	7	20	.	.	PUNCT
ispiv-190	8	1	the	the	DET
ispiv-190	8	2	current	current	ADJ
ispiv-190	8	3	work	work	NOUN
ispiv-190	8	4	uses	use	VERB
ispiv-190	8	5	rbf	rbf	PROPN
ispiv-190	8	6	-	-	PUNCT
ispiv-190	8	7	based	base	VERB
ispiv-190	8	8	differential	differential	ADJ
ispiv-190	8	9	schemes	scheme	NOUN
ispiv-190	8	10	to	to	PART
ispiv-190	8	11	develop	develop	VERB
ispiv-190	8	12	a	a	DET
ispiv-190	8	13	post	post	ADJ
ispiv-190	8	14	-	-	ADJ
ispiv-190	8	15	processing	processing	ADJ
ispiv-190	8	16	tool	tool	NOUN
ispiv-190	8	17	for	for	ADP
ispiv-190	8	18	ptv	ptv	PROPN
ispiv-190	8	19	/	/	SYM
ispiv-190	8	20	a	a	DET
ispiv-190	8	21	data	datum	NOUN
ispiv-190	8	22	,	,	PUNCT
ispiv-190	8	23	which	which	PRON
ispiv-190	8	24	can	can	AUX
ispiv-190	8	25	accurately	accurately	ADV
ispiv-190	8	26	evaluate	evaluate	VERB
ispiv-190	8	27	spatial	spatial	ADJ
ispiv-190	8	28	derivatives	derivative	NOUN
ispiv-190	8	29	directly	directly	ADV
ispiv-190	8	30	from	from	ADP
ispiv-190	8	31	lagrangian	lagrangian	ADJ
ispiv-190	8	32	particle	particle	NOUN
ispiv-190	8	33	tracks	track	NOUN
ispiv-190	8	34	.	.	PUNCT
ispiv-190	9	1	this	this	DET
ispiv-190	9	2	rbf	rbf	PROPN
ispiv-190	9	3	-	-	PUNCT
ispiv-190	9	4	based	base	VERB
ispiv-190	9	5	strain	strain	NOUN
ispiv-190	9	6	/	/	SYM
ispiv-190	9	7	rotation	rotation	NOUN
ispiv-190	9	8	-	-	PUNCT
ispiv-190	9	9	rate	rate	NOUN
ispiv-190	9	10	tensor	tensor	NOUN
ispiv-190	9	11	evaluation	evaluation	NOUN
ispiv-190	9	12	tool	tool	NOUN
ispiv-190	9	13	is	be	AUX
ispiv-190	9	14	validated	validate	VERB
ispiv-190	9	15	with	with	ADP
ispiv-190	9	16	two	two	NUM
ispiv-190	9	17	and	and	CCONJ
ispiv-190	9	18	three	three	NUM
ispiv-190	9	19	-	-	PUNCT
ispiv-190	9	20	dimensional	dimensional	ADJ
ispiv-190	9	21	flows	flow	NOUN
ispiv-190	9	22	from	from	ADP
ispiv-190	9	23	analytical	analytical	ADJ
ispiv-190	9	24	solutions	solution	NOUN
ispiv-190	9	25	and	and	CCONJ
ispiv-190	9	26	is	be	AUX
ispiv-190	9	27	then	then	ADV
ispiv-190	9	28	tested	test	VERB
ispiv-190	9	29	with	with	ADP
ispiv-190	9	30	experimental	experimental	ADJ
ispiv-190	9	31	data	datum	NOUN
ispiv-190	9	32	measured	measure	VERB
ispiv-190	9	33	by	by	ADP
ispiv-190	9	34	a	a	DET
ispiv-190	9	35	multi	multi	ADJ
ispiv-190	9	36	-	-	ADJ
ispiv-190	9	37	pulse	pulse	ADJ
ispiv-190	9	38	ptv	ptv	PROPN
ispiv-190	9	39	/	/	SYM
ispiv-190	9	40	a	a	DET
ispiv-190	9	41	system	system	NOUN
ispiv-190	9	42	.	.	PUNCT
ispiv-190	10	1	1	1	NUM
ispiv-190	10	2	introduction	introduction	NOUN
ispiv-190	10	3	classic	classic	ADJ
ispiv-190	10	4	textbooks	textbook	NOUN
ispiv-190	10	5	in	in	ADP
ispiv-190	10	6	fluid	fluid	ADJ
ispiv-190	10	7	mechanics	mechanic	NOUN
ispiv-190	10	8	often	often	ADV
ispiv-190	10	9	start	start	VERB
ispiv-190	10	10	with	with	ADP
ispiv-190	10	11	the	the	DET
ispiv-190	10	12	concept	concept	NOUN
ispiv-190	10	13	of	of	ADP
ispiv-190	10	14	a	a	DET
ispiv-190	10	15	fluid	fluid	ADJ
ispiv-190	10	16	parcel	parcel	NOUN
ispiv-190	10	17	and	and	CCONJ
ispiv-190	10	18	eulerian	eulerian	ADJ
ispiv-190	10	19	versus	versus	ADP
ispiv-190	10	20	lagrangian	lagrangian	ADJ
ispiv-190	10	21	descriptions	description	NOUN
ispiv-190	10	22	of	of	ADP
ispiv-190	10	23	fluid	fluid	ADJ
ispiv-190	10	24	motion	motion	NOUN
ispiv-190	10	25	(	(	PUNCT
ispiv-190	10	26	panton	panton	NOUN
ispiv-190	10	27	,	,	PUNCT
ispiv-190	10	28	2006	2006	NUM
ispiv-190	10	29	)	)	PUNCT
ispiv-190	10	30	.	.	PUNCT
ispiv-190	11	1	in	in	ADP
ispiv-190	11	2	addition	addition	NOUN
ispiv-190	11	3	to	to	ADP
ispiv-190	11	4	the	the	DET
ispiv-190	11	5	inherent	inherent	ADJ
ispiv-190	11	6	conservation	conservation	NOUN
ispiv-190	11	7	laws	law	NOUN
ispiv-190	11	8	developed	develop	VERB
ispiv-190	11	9	in	in	ADP
ispiv-190	11	10	a	a	DET
ispiv-190	11	11	lagrangian	lagrangian	ADJ
ispiv-190	11	12	framework	framework	NOUN
ispiv-190	11	13	,	,	PUNCT
ispiv-190	11	14	particle	particle	NOUN
ispiv-190	11	15	tracking	tracking	NOUN
ispiv-190	11	16	is	be	AUX
ispiv-190	11	17	perhaps	perhaps	ADV
ispiv-190	11	18	the	the	DET
ispiv-190	11	19	most	most	ADV
ispiv-190	11	20	intuitive	intuitive	ADJ
ispiv-190	11	21	means	mean	NOUN
ispiv-190	11	22	to	to	PART
ispiv-190	11	23	probe	probe	VERB
ispiv-190	11	24	a	a	DET
ispiv-190	11	25	fluid	fluid	ADJ
ispiv-190	11	26	flow	flow	NOUN
ispiv-190	11	27	.	.	PUNCT
ispiv-190	12	1	a	a	DET
ispiv-190	12	2	common	common	ADJ
ispiv-190	12	3	example	example	NOUN
ispiv-190	12	4	is	be	AUX
ispiv-190	12	5	examining	examine	VERB
ispiv-190	12	6	the	the	DET
ispiv-190	12	7	motion	motion	NOUN
ispiv-190	12	8	of	of	ADP
ispiv-190	12	9	tea	tea	NOUN
ispiv-190	12	10	leaves	leave	NOUN
ispiv-190	12	11	in	in	ADP
ispiv-190	12	12	a	a	DET
ispiv-190	12	13	cup	cup	NOUN
ispiv-190	12	14	.	.	PUNCT
ispiv-190	13	1	however	however	ADV
ispiv-190	13	2	,	,	PUNCT
ispiv-190	13	3	examples	example	NOUN
ispiv-190	13	4	of	of	ADP
ispiv-190	13	5	lagrangian	lagrangian	ADJ
ispiv-190	13	6	methods	method	NOUN
ispiv-190	13	7	in	in	ADP
ispiv-190	13	8	the	the	DET
ispiv-190	13	9	experimental	experimental	ADJ
ispiv-190	13	10	fluid	fluid	NOUN
ispiv-190	13	11	dynamics	dynamic	NOUN
ispiv-190	13	12	literature	literature	NOUN
ispiv-190	13	13	pale	pale	NOUN
ispiv-190	13	14	in	in	ADP
ispiv-190	13	15	comparison	comparison	NOUN
ispiv-190	13	16	to	to	ADP
ispiv-190	13	17	eulerian	eulerian	ADJ
ispiv-190	13	18	approaches	approach	NOUN
ispiv-190	13	19	.	.	PUNCT
ispiv-190	14	1	this	this	PRON
ispiv-190	14	2	is	be	AUX
ispiv-190	14	3	perhaps	perhaps	ADV
ispiv-190	14	4	due	due	ADP
ispiv-190	14	5	to	to	ADP
ispiv-190	14	6	a	a	DET
ispiv-190	14	7	lack	lack	NOUN
ispiv-190	14	8	of	of	ADP
ispiv-190	14	9	experimental	experimental	ADJ
ispiv-190	14	10	techniques	technique	NOUN
ispiv-190	14	11	with	with	ADP
ispiv-190	14	12	sufficient	sufficient	ADJ
ispiv-190	14	13	temporal	temporal	ADJ
ispiv-190	14	14	and	and	CCONJ
ispiv-190	14	15	spatial	spatial	ADJ
ispiv-190	14	16	resolution	resolution	NOUN
ispiv-190	14	17	that	that	PRON
ispiv-190	14	18	can	can	AUX
ispiv-190	14	19	track	track	VERB
ispiv-190	14	20	the	the	DET
ispiv-190	14	21	threedimensional	threedimensional	ADJ
ispiv-190	14	22	motion	motion	NOUN
ispiv-190	14	23	of	of	ADP
ispiv-190	14	24	many	many	ADJ
ispiv-190	14	25	fluid	fluid	ADJ
ispiv-190	14	26	parcels	parcel	NOUN
ispiv-190	14	27	in	in	ADP
ispiv-190	14	28	a	a	DET
ispiv-190	14	29	flow	flow	NOUN
ispiv-190	14	30	domain	domain	NOUN
ispiv-190	14	31	.	.	PUNCT
ispiv-190	15	1	this	this	DET
ispiv-190	15	2	deficiency	deficiency	NOUN
ispiv-190	15	3	has	have	AUX
ispiv-190	15	4	persisted	persist	VERB
ispiv-190	15	5	until	until	ADP
ispiv-190	15	6	the	the	DET
ispiv-190	15	7	recent	recent	ADJ
ispiv-190	15	8	development	development	NOUN
ispiv-190	15	9	of	of	ADP
ispiv-190	15	10	time	time	NOUN
ispiv-190	15	11	-	-	PUNCT
ispiv-190	15	12	resolved	resolve	VERB
ispiv-190	15	13	particle	particle	NOUN
ispiv-190	15	14	tracking	tracking	NOUN
ispiv-190	15	15	velocimetry	velocimetry	NOUN
ispiv-190	15	16	/	/	SYM
ispiv-190	15	17	accelerometry	accelerometry	NOUN
ispiv-190	15	18	(	(	PUNCT
ispiv-190	15	19	tr	tr	VERB
ispiv-190	15	20	-	-	PUNCT
ispiv-190	15	21	ptv	ptv	X
ispiv-190	15	22	/	/	SYM
ispiv-190	15	23	a	a	NOUN
ispiv-190	15	24	)	)	PUNCT
ispiv-190	15	25	that	that	PRON
ispiv-190	15	26	can	can	AUX
ispiv-190	15	27	measure	measure	VERB
ispiv-190	15	28	lagrangian	lagrangian	ADJ
ispiv-190	15	29	tracer	tracer	NOUN
ispiv-190	15	30	particle	particle	NOUN
ispiv-190	15	31	tracks	track	NOUN
ispiv-190	15	32	with	with	ADP
ispiv-190	15	33	high	high	ADJ
ispiv-190	15	34	seeding	seeding	NOUN
ispiv-190	15	35	density	density	NOUN
ispiv-190	15	36	(	(	PUNCT
ispiv-190	15	37	schanz	schanz	PROPN
ispiv-190	15	38	et	et	PROPN
ispiv-190	15	39	al	al	PROPN
ispiv-190	15	40	.	.	PROPN
ispiv-190	15	41	,	,	PUNCT
ispiv-190	15	42	2016	2016	NUM
ispiv-190	15	43	)	)	PUNCT
ispiv-190	15	44	.	.	PUNCT
ispiv-190	16	1	in	in	ADP
ispiv-190	16	2	addition	addition	NOUN
ispiv-190	16	3	to	to	ADP
ispiv-190	16	4	the	the	DET
ispiv-190	16	5	above	above	ADJ
ispiv-190	16	6	experimental	experimental	ADJ
ispiv-190	16	7	challenge	challenge	NOUN
ispiv-190	16	8	,	,	PUNCT
ispiv-190	16	9	robust	robust	ADJ
ispiv-190	16	10	mesh	mesh	NOUN
ispiv-190	16	11	-	-	PUNCT
ispiv-190	16	12	free	free	ADJ
ispiv-190	16	13	numerical	numerical	ADJ
ispiv-190	16	14	schemes	scheme	NOUN
ispiv-190	16	15	that	that	PRON
ispiv-190	16	16	handle	handle	AUX
ispiv-190	16	17	randomly	randomly	ADV
ispiv-190	16	18	scattered	scatter	VERB
ispiv-190	16	19	vector	vector	NOUN
ispiv-190	16	20	field	field	NOUN
ispiv-190	16	21	are	be	AUX
ispiv-190	16	22	lacking	lack	VERB
ispiv-190	16	23	in	in	ADP
ispiv-190	16	24	the	the	DET
ispiv-190	16	25	experimental	experimental	ADJ
ispiv-190	16	26	fluid	fluid	ADJ
ispiv-190	16	27	mechanics	mechanic	NOUN
ispiv-190	16	28	community	community	NOUN
ispiv-190	16	29	.	.	PUNCT
ispiv-190	17	1	one	one	NUM
ispiv-190	17	2	of	of	ADP
ispiv-190	17	3	the	the	DET
ispiv-190	17	4	basic	basic	ADJ
ispiv-190	17	5	tasks	task	NOUN
ispiv-190	17	6	for	for	ADP
ispiv-190	17	7	data	datum	NOUN
ispiv-190	17	8	analysis	analysis	NOUN
ispiv-190	17	9	is	be	AUX
ispiv-190	17	10	evaluating	evaluate	VERB
ispiv-190	17	11	the	the	DET
ispiv-190	17	12	three	three	NUM
ispiv-190	17	13	-	-	PUNCT
ispiv-190	17	14	dimensional	dimensional	ADJ
ispiv-190	17	15	(	(	PUNCT
ispiv-190	17	16	3d	3d	NOUN
ispiv-190	17	17	)	)	PUNCT
ispiv-190	17	18	velocity	velocity	NOUN
ispiv-190	17	19	gradient	gradient	NOUN
ispiv-190	17	20	tensors	tensor	NOUN
ispiv-190	17	21	,	,	PUNCT
ispiv-190	17	22	namely	namely	ADV
ispiv-190	17	23	the	the	DET
ispiv-190	17	24	strain	strain	NOUN
ispiv-190	17	25	-	-	PUNCT
ispiv-190	17	26	rate	rate	NOUN
ispiv-190	17	27	and	and	CCONJ
ispiv-190	17	28	rotation	rotation	NOUN
ispiv-190	17	29	-	-	PUNCT
ispiv-190	17	30	rate	rate	NOUN
ispiv-190	17	31	tensors	tensor	NOUN
ispiv-190	17	32	.	.	PUNCT
ispiv-190	18	1	strain	strain	NOUN
ispiv-190	18	2	/	/	SYM
ispiv-190	18	3	rotation	rotation	NOUN
ispiv-190	18	4	-	-	PUNCT
ispiv-190	18	5	rate	rate	NOUN
ispiv-190	18	6	tensors	tensor	NOUN
ispiv-190	18	7	are	be	AUX
ispiv-190	18	8	essential	essential	ADJ
ispiv-190	18	9	to	to	PART
ispiv-190	18	10	understand	understand	VERB
ispiv-190	18	11	the	the	DET
ispiv-190	18	12	kinematics	kinematic	NOUN
ispiv-190	18	13	of	of	ADP
ispiv-190	18	14	complex	complex	ADJ
ispiv-190	18	15	flows	flow	NOUN
ispiv-190	18	16	(	(	PUNCT
ispiv-190	18	17	e.g.	e.g.	ADV
ispiv-190	18	18	,	,	PUNCT
ispiv-190	18	19	coherent	coherent	ADJ
ispiv-190	18	20	structures	structure	NOUN
ispiv-190	18	21	and	and	CCONJ
ispiv-190	18	22	invariants	invariant	NOUN
ispiv-190	18	23	)	)	PUNCT
ispiv-190	18	24	.	.	PUNCT
ispiv-190	19	1	for	for	ADP
ispiv-190	19	2	example	example	NOUN
ispiv-190	19	3	,	,	PUNCT
ispiv-190	19	4	kitzhofer	kitzhofer	PROPN
ispiv-190	19	5	et	et	PROPN
ispiv-190	19	6	al	al	PROPN
ispiv-190	19	7	.	.	PROPN
ispiv-190	20	1	(	(	PUNCT
ispiv-190	20	2	2010	2010	NUM
ispiv-190	20	3	)	)	PUNCT
ispiv-190	20	4	developed	develop	VERB
ispiv-190	20	5	an	an	DET
ispiv-190	20	6	algorithm	algorithm	NOUN
ispiv-190	20	7	based	base	VERB
ispiv-190	20	8	on	on	ADP
ispiv-190	20	9	least	least	ADJ
ispiv-190	20	10	squares	square	NOUN
ispiv-190	20	11	matching	match	VERB
ispiv-190	20	12	to	to	PART
ispiv-190	20	13	estimate	estimate	VERB
ispiv-190	20	14	the	the	DET
ispiv-190	20	15	strain	strain	NOUN
ispiv-190	20	16	/	/	SYM
ispiv-190	20	17	rotation	rotation	NOUN
ispiv-190	20	18	-	-	PUNCT
ispiv-190	20	19	rate	rate	NOUN
ispiv-190	20	20	tensor	tensor	NOUN
ispiv-190	20	21	using	use	VERB
ispiv-190	20	22	tomo	tomo	NOUN
ispiv-190	20	23	-	-	PUNCT
ispiv-190	20	24	piv	piv	NOUN
ispiv-190	20	25	.	.	PUNCT
ispiv-190	21	1	although	although	SCONJ
ispiv-190	21	2	this	this	DET
ispiv-190	21	3	work	work	NOUN
ispiv-190	21	4	successfully	successfully	ADV
ispiv-190	21	5	extended	extend	VERB
ispiv-190	21	6	kinematic	kinematic	ADJ
ispiv-190	21	7	analysis	analysis	NOUN
ispiv-190	21	8	from	from	ADP
ispiv-190	21	9	two	two	NUM
ispiv-190	21	10	dimensions	dimension	NOUN
ispiv-190	21	11	(	(	PUNCT
ispiv-190	21	12	2d	2d	NOUN
ispiv-190	21	13	)	)	PUNCT
ispiv-190	21	14	to	to	ADP
ispiv-190	21	15	3d	3d	NUM
ispiv-190	21	16	,	,	PUNCT
ispiv-190	21	17	it	it	PRON
ispiv-190	21	18	used	use	VERB
ispiv-190	21	19	an	an	DET
ispiv-190	21	20	eulerian	eulerian	ADJ
ispiv-190	21	21	framework	framework	NOUN
ispiv-190	21	22	because	because	SCONJ
ispiv-190	21	23	the	the	DET
ispiv-190	21	24	velocity	velocity	NOUN
ispiv-190	21	25	data	datum	NOUN
ispiv-190	21	26	on	on	ADP
ispiv-190	21	27	a	a	DET
ispiv-190	21	28	structured	structured	ADJ
ispiv-190	21	29	mesh	mesh	NOUN
ispiv-190	21	30	are	be	AUX
ispiv-190	21	31	from	from	ADP
ispiv-190	21	32	piv	piv	NOUN
ispiv-190	21	33	.	.	PUNCT
ispiv-190	22	1	methods	method	NOUN
ispiv-190	22	2	such	such	ADJ
ispiv-190	22	3	as	as	ADP
ispiv-190	22	4	vic+	vic+	NOUN
ispiv-190	22	5	can	can	AUX
ispiv-190	22	6	handle	handle	VERB
ispiv-190	22	7	scattered	scatter	VERB
ispiv-190	22	8	velocity	velocity	NOUN
ispiv-190	22	9	data	datum	NOUN
ispiv-190	22	10	on	on	ADP
ispiv-190	22	11	‘	'	PUNCT
ispiv-190	22	12	unstructured	unstructured	ADJ
ispiv-190	22	13	mesh	mesh	NOUN
ispiv-190	22	14	’	'	PUNCT
ispiv-190	22	15	from	from	ADP
ispiv-190	22	16	ptv	ptv	PROPN
ispiv-190	22	17	(	(	PUNCT
ispiv-190	22	18	jeon	jeon	PROPN
ispiv-190	22	19	et	et	PROPN
ispiv-190	22	20	al	al	PROPN
ispiv-190	22	21	.	.	PROPN
ispiv-190	22	22	,	,	PUNCT
ispiv-190	22	23	2018	2018	NUM
ispiv-190	22	24	)	)	PUNCT
ispiv-190	22	25	.	.	PUNCT
ispiv-190	23	1	however	however	ADV
ispiv-190	23	2	,	,	PUNCT
ispiv-190	23	3	interpolating	interpolate	VERB
ispiv-190	23	4	scattered	scatter	VERB
ispiv-190	23	5	data	datum	NOUN
ispiv-190	23	6	to	to	ADP
ispiv-190	23	7	a	a	DET
ispiv-190	23	8	structured	structured	ADJ
ispiv-190	23	9	mesh	mesh	NOUN
ispiv-190	23	10	before	before	ADP
ispiv-190	23	11	any	any	DET
ispiv-190	23	12	other	other	ADJ
ispiv-190	23	13	analysis	analysis	NOUN
ispiv-190	23	14	is	be	AUX
ispiv-190	23	15	a	a	DET
ispiv-190	23	16	common	common	ADJ
ispiv-190	23	17	practice	practice	NOUN
ispiv-190	23	18	.	.	PUNCT
ispiv-190	24	1	this	this	DET
ispiv-190	24	2	step	step	NOUN
ispiv-190	24	3	can	can	AUX
ispiv-190	24	4	introduce	introduce	VERB
ispiv-190	24	5	unnecessary	unnecessary	ADJ
ispiv-190	24	6	numerical	numerical	ADJ
ispiv-190	24	7	error	error	NOUN
ispiv-190	24	8	;	;	PUNCT
ispiv-190	24	9	more	more	ADV
ispiv-190	24	10	importantly	importantly	ADV
ispiv-190	24	11	,	,	PUNCT
ispiv-190	24	12	such	such	DET
ispiv-190	24	13	a	a	DET
ispiv-190	24	14	procedure	procedure	NOUN
ispiv-190	24	15	may	may	AUX
ispiv-190	24	16	‘	'	PUNCT
ispiv-190	24	17	degrade	degrade	VERB
ispiv-190	24	18	’	'	PUNCT
ispiv-190	24	19	the	the	DET
ispiv-190	24	20	often	often	ADV
ispiv-190	24	21	sparse	sparse	ADJ
ispiv-190	24	22	but	but	CCONJ
ispiv-190	24	23	accurate	accurate	ADJ
ispiv-190	24	24	ptv	ptv	ADV
ispiv-190	24	25	-	-	PUNCT
ispiv-190	24	26	based	base	VERB
ispiv-190	24	27	lagrangian	lagrangian	ADJ
ispiv-190	24	28	data	datum	NOUN
ispiv-190	24	29	to	to	ADP
ispiv-190	24	30	piv	piv	NOUN
ispiv-190	24	31	-	-	PUNCT
ispiv-190	24	32	like	like	ADJ
ispiv-190	24	33	eulerian	eulerian	ADJ
ispiv-190	24	34	data	datum	NOUN
ispiv-190	24	35	on	on	ADP
ispiv-190	24	36	a	a	DET
ispiv-190	24	37	regular	regular	ADJ
ispiv-190	24	38	mesh	mesh	NOUN
ispiv-190	24	39	.	.	PUNCT
ispiv-190	25	1	direct	direct	ADJ
ispiv-190	25	2	analysis	analysis	NOUN
ispiv-190	25	3	of	of	ADP
ispiv-190	25	4	velocity	velocity	NOUN
ispiv-190	25	5	fields	field	NOUN
ispiv-190	25	6	on	on	ADP
ispiv-190	25	7	scattered	scatter	VERB
ispiv-190	25	8	data	datum	NOUN
ispiv-190	25	9	relies	rely	VERB
ispiv-190	25	10	on	on	ADP
ispiv-190	25	11	a	a	DET
ispiv-190	25	12	mesh	mesh	NOUN
ispiv-190	25	13	-	-	PUNCT
ispiv-190	25	14	free	free	ADJ
ispiv-190	25	15	numerical	numerical	ADJ
ispiv-190	25	16	scheme	scheme	NOUN
ispiv-190	25	17	.	.	PUNCT
ispiv-190	26	1	recent	recent	ADJ
ispiv-190	26	2	progress	progress	NOUN
ispiv-190	26	3	by	by	ADP
ispiv-190	26	4	rosi	rosi	PROPN
ispiv-190	26	5	et	et	PROPN
ispiv-190	26	6	al	al	PROPN
ispiv-190	26	7	.	.	PROPN
ispiv-190	27	1	(	(	PUNCT
ispiv-190	27	2	2015	2015	NUM
ispiv-190	27	3	)	)	PUNCT
ispiv-190	27	4	used	use	VERB
ispiv-190	27	5	voronoi	voronoi	PROPN
ispiv-190	27	6	tessellation	tessellation	NOUN
ispiv-190	27	7	to	to	PART
ispiv-190	27	8	evaluate	evaluate	VERB
ispiv-190	27	9	spatial	spatial	ADJ
ispiv-190	27	10	gradients	gradient	NOUN
ispiv-190	27	11	for	for	ADP
ispiv-190	27	12	lagrangian	lagrangian	ADJ
ispiv-190	27	13	coherent	coherent	ADJ
ispiv-190	27	14	structure	structure	NOUN
ispiv-190	27	15	identification	identification	NOUN
ispiv-190	27	16	.	.	PUNCT
ispiv-190	28	1	this	this	DET
ispiv-190	28	2	work	work	NOUN
ispiv-190	28	3	introduced	introduce	VERB
ispiv-190	28	4	a	a	DET
ispiv-190	28	5	direct	direct	ADJ
ispiv-190	28	6	analysis	analysis	NOUN
ispiv-190	28	7	tool	tool	NOUN
ispiv-190	28	8	for	for	ADP
ispiv-190	28	9	lagrangian	lagrangian	ADJ
ispiv-190	28	10	data	datum	NOUN
ispiv-190	28	11	.	.	PUNCT
ispiv-190	29	1	but	but	CCONJ
ispiv-190	29	2	,	,	PUNCT
ispiv-190	29	3	it	it	PRON
ispiv-190	29	4	was	be	AUX
ispiv-190	29	5	limited	limit	VERB
ispiv-190	29	6	to	to	ADP
ispiv-190	29	7	2d	2d	NOUN
ispiv-190	29	8	,	,	PUNCT
ispiv-190	29	9	and	and	CCONJ
ispiv-190	29	10	extending	extend	VERB
ispiv-190	29	11	to	to	ADP
ispiv-190	29	12	3d	3d	NUM
ispiv-190	29	13	would	would	AUX
ispiv-190	29	14	be	be	AUX
ispiv-190	29	15	much	much	ADV
ispiv-190	29	16	more	more	ADV
ispiv-190	29	17	difficult	difficult	ADJ
ispiv-190	29	18	(	(	PUNCT
ispiv-190	29	19	in	in	ADP
ispiv-190	29	20	terms	term	NOUN
ispiv-190	29	21	of	of	ADP
ispiv-190	29	22	implementation	implementation	NOUN
ispiv-190	29	23	and	and	CCONJ
ispiv-190	29	24	computation	computation	NOUN
ispiv-190	29	25	)	)	PUNCT
ispiv-190	29	26	due	due	ADP
ispiv-190	29	27	to	to	ADP
ispiv-190	29	28	the	the	DET
ispiv-190	29	29	nature	nature	NOUN
ispiv-190	29	30	of	of	ADP
ispiv-190	29	31	the	the	DET
ispiv-190	29	32	voronoi	voronoi	PROPN
ispiv-190	29	33	diagram	diagram	NOUN
ispiv-190	29	34	.	.	PUNCT
ispiv-190	30	1	as	as	ADP
ispiv-190	30	2	another	another	DET
ispiv-190	30	3	example	example	NOUN
ispiv-190	30	4	,	,	PUNCT
ispiv-190	30	5	takehara	takehara	NOUN
ispiv-190	30	6	and	and	CCONJ
ispiv-190	30	7	etoh	etoh	PROPN
ispiv-190	30	8	(	(	PUNCT
ispiv-190	30	9	2009	2009	NUM
ispiv-190	30	10	)	)	PUNCT
ispiv-190	30	11	reconstructed	reconstruct	VERB
ispiv-190	30	12	the	the	DET
ispiv-190	30	13	2d	2d	NUM
ispiv-190	30	14	vorticity	vorticity	NOUN
ispiv-190	30	15	field	field	NOUN
ispiv-190	30	16	directly	directly	ADV
ispiv-190	30	17	from	from	ADP
ispiv-190	30	18	ptv	ptv	PROPN
ispiv-190	30	19	data	datum	NOUN
ispiv-190	30	20	using	use	VERB
ispiv-190	30	21	a	a	DET
ispiv-190	30	22	moving	move	VERB
ispiv-190	30	23	least	least	ADV
ispiv-190	30	24	square	square	ADJ
ispiv-190	30	25	(	(	PUNCT
ispiv-190	30	26	mls	mls	PROPN
ispiv-190	30	27	)	)	PUNCT
ispiv-190	30	28	method	method	NOUN
ispiv-190	30	29	.	.	PUNCT
ispiv-190	31	1	the	the	DET
ispiv-190	31	2	authors	author	NOUN
ispiv-190	31	3	applied	apply	VERB
ispiv-190	31	4	this	this	DET
ispiv-190	31	5	algorithm	algorithm	NOUN
ispiv-190	31	6	to	to	PART
ispiv-190	31	7	visualize	visualize	VERB
ispiv-190	31	8	fluid	fluid	ADJ
ispiv-190	31	9	motion	motion	NOUN
ispiv-190	31	10	and	and	CCONJ
ispiv-190	31	11	vortices	vortex	NOUN
ispiv-190	31	12	in	in	ADP
ispiv-190	31	13	wind	wind	NOUN
ispiv-190	31	14	-	-	PUNCT
ispiv-190	31	15	driven	drive	VERB
ispiv-190	31	16	waves	wave	NOUN
ispiv-190	31	17	(	(	PUNCT
ispiv-190	31	18	takano	takano	PROPN
ispiv-190	31	19	et	et	PROPN
ispiv-190	31	20	al	al	PROPN
ispiv-190	31	21	.	.	PROPN
ispiv-190	31	22	,	,	PUNCT
ispiv-190	31	23	2012	2012	NUM
ispiv-190	31	24	)	)	PUNCT
ispiv-190	31	25	.	.	PUNCT
ispiv-190	32	1	however	however	ADV
ispiv-190	32	2	,	,	PUNCT
ispiv-190	32	3	the	the	DET
ispiv-190	32	4	algorithm	algorithm	NOUN
ispiv-190	32	5	was	be	AUX
ispiv-190	32	6	not	not	PART
ispiv-190	32	7	extended	extend	VERB
ispiv-190	32	8	to	to	ADP
ispiv-190	32	9	3d	3d	NUM
ispiv-190	32	10	.	.	PUNCT
ispiv-190	33	1	consequently	consequently	ADV
ispiv-190	33	2	,	,	PUNCT
ispiv-190	33	3	some	some	DET
ispiv-190	33	4	parameters	parameter	NOUN
ispiv-190	33	5	in	in	ADP
ispiv-190	33	6	the	the	DET
ispiv-190	33	7	algorithm	algorithm	NOUN
ispiv-190	33	8	were	be	AUX
ispiv-190	33	9	limited	limit	VERB
ispiv-190	33	10	to	to	ADP
ispiv-190	33	11	2d	2d	NOUN
ispiv-190	33	12	.	.	PUNCT
ispiv-190	34	1	for	for	ADP
ispiv-190	34	2	example	example	NOUN
ispiv-190	34	3	,	,	PUNCT
ispiv-190	34	4	particle	particle	NOUN
ispiv-190	34	5	distribution	distribution	NOUN
ispiv-190	34	6	was	be	AUX
ispiv-190	34	7	quantified	quantify	VERB
ispiv-190	34	8	by	by	ADP
ispiv-190	34	9	particle	particle	NOUN
ispiv-190	34	10	per	per	ADP
ispiv-190	34	11	pixel	pixel	NOUN
ispiv-190	34	12	(	(	PUNCT
ispiv-190	34	13	ppp	ppp	PROPN
ispiv-190	34	14	)	)	PUNCT
ispiv-190	34	15	.	.	PUNCT
ispiv-190	35	1	this	this	PRON
ispiv-190	35	2	is	be	AUX
ispiv-190	35	3	a	a	DET
ispiv-190	35	4	standard	standard	ADJ
ispiv-190	35	5	measure	measure	NOUN
ispiv-190	35	6	of	of	ADP
ispiv-190	35	7	image	image	NOUN
ispiv-190	35	8	resolution	resolution	NOUN
ispiv-190	35	9	in	in	ADP
ispiv-190	35	10	planar	planar	ADJ
ispiv-190	35	11	piv	piv	NOUN
ispiv-190	35	12	or	or	CCONJ
ispiv-190	35	13	ptv	ptv	PROPN
ispiv-190	35	14	,	,	PUNCT
ispiv-190	35	15	and	and	CCONJ
ispiv-190	35	16	ppp	ppp	NOUN
ispiv-190	35	17	is	be	AUX
ispiv-190	35	18	also	also	ADV
ispiv-190	35	19	a	a	DET
ispiv-190	35	20	global	global	ADJ
ispiv-190	35	21	indicator	indicator	NOUN
ispiv-190	35	22	of	of	ADP
ispiv-190	35	23	average	average	ADJ
ispiv-190	35	24	particle	particle	NOUN
ispiv-190	35	25	seeding	seed	VERB
ispiv-190	35	26	density	density	NOUN
ispiv-190	35	27	in	in	ADP
ispiv-190	35	28	2d	2d	NUM
ispiv-190	35	29	physical	physical	ADJ
ispiv-190	35	30	space	space	NOUN
ispiv-190	35	31	with	with	ADP
ispiv-190	35	32	proper	proper	ADJ
ispiv-190	35	33	calibration	calibration	NOUN
ispiv-190	35	34	.	.	PUNCT
ispiv-190	36	1	however	however	ADV
ispiv-190	36	2	,	,	PUNCT
ispiv-190	36	3	the	the	DET
ispiv-190	36	4	particle	particle	NOUN
ispiv-190	36	5	data	datum	NOUN
ispiv-190	36	6	layout	layout	NOUN
ispiv-190	36	7	is	be	AUX
ispiv-190	36	8	important	important	ADJ
ispiv-190	36	9	for	for	ADP
ispiv-190	36	10	a	a	DET
ispiv-190	36	11	mesh	mesh	NOUN
ispiv-190	36	12	-	-	PUNCT
ispiv-190	36	13	free	free	ADJ
ispiv-190	36	14	method	method	NOUN
ispiv-190	36	15	,	,	PUNCT
ispiv-190	36	16	and	and	CCONJ
ispiv-190	36	17	the	the	DET
ispiv-190	36	18	local	local	ADJ
ispiv-190	36	19	spatial	spatial	ADJ
ispiv-190	36	20	particle	particle	NOUN
ispiv-190	36	21	density	density	NOUN
ispiv-190	36	22	in	in	ADP
ispiv-190	36	23	3d	3d	NUM
ispiv-190	36	24	must	must	AUX
ispiv-190	36	25	be	be	AUX
ispiv-190	36	26	considered	consider	VERB
ispiv-190	36	27	when	when	SCONJ
ispiv-190	36	28	applying	apply	VERB
ispiv-190	36	29	such	such	ADJ
ispiv-190	36	30	methods	method	NOUN
ispiv-190	36	31	.	.	PUNCT
ispiv-190	37	1	as	as	ADP
ispiv-190	37	2	such	such	ADJ
ispiv-190	37	3	,	,	PUNCT
ispiv-190	37	4	a	a	DET
ispiv-190	37	5	robust	robust	ADJ
ispiv-190	37	6	,	,	PUNCT
ispiv-190	37	7	accurate	accurate	ADJ
ispiv-190	37	8	,	,	PUNCT
ispiv-190	37	9	and	and	CCONJ
ispiv-190	37	10	convenient	convenient	ADJ
ispiv-190	37	11	mesh	mesh	NOUN
ispiv-190	37	12	-	-	PUNCT
ispiv-190	37	13	free	free	ADJ
ispiv-190	37	14	method	method	NOUN
ispiv-190	37	15	is	be	AUX
ispiv-190	37	16	much	much	ADV
ispiv-190	37	17	needed	need	VERB
ispiv-190	37	18	to	to	PART
ispiv-190	37	19	directly	directly	ADV
ispiv-190	37	20	compute	compute	VERB
ispiv-190	37	21	spatial	spatial	ADJ
ispiv-190	37	22	velocity	velocity	NOUN
ispiv-190	37	23	gradients	gradient	NOUN
ispiv-190	37	24	in	in	ADP
ispiv-190	37	25	3d	3d	NUM
ispiv-190	37	26	.	.	PUNCT
ispiv-190	38	1	in	in	ADP
ispiv-190	38	2	the	the	DET
ispiv-190	38	3	current	current	ADJ
ispiv-190	38	4	work	work	NOUN
ispiv-190	38	5	,	,	PUNCT
ispiv-190	38	6	we	we	PRON
ispiv-190	38	7	establish	establish	VERB
ispiv-190	38	8	a	a	DET
ispiv-190	38	9	three	three	NUM
ispiv-190	38	10	-	-	PUNCT
ispiv-190	38	11	step	step	NOUN
ispiv-190	38	12	data	datum	NOUN
ispiv-190	38	13	analysis	analysis	NOUN
ispiv-190	38	14	method	method	NOUN
ispiv-190	38	15	,	,	PUNCT
ispiv-190	38	16	which	which	PRON
ispiv-190	38	17	can	can	AUX
ispiv-190	38	18	accurately	accurately	ADV
ispiv-190	38	19	evaluate	evaluate	VERB
ispiv-190	38	20	spatial	spatial	ADJ
ispiv-190	38	21	derivatives	derivative	NOUN
ispiv-190	38	22	(	(	PUNCT
ispiv-190	38	23	and	and	CCONJ
ispiv-190	38	24	then	then	ADV
ispiv-190	38	25	strain	strain	VERB
ispiv-190	38	26	/	/	SYM
ispiv-190	38	27	rotation	rotation	NOUN
ispiv-190	38	28	-	-	PUNCT
ispiv-190	38	29	rate	rate	NOUN
ispiv-190	38	30	tensors	tensor	NOUN
ispiv-190	38	31	)	)	PUNCT
ispiv-190	38	32	directly	directly	ADV
ispiv-190	38	33	from	from	ADP
ispiv-190	38	34	lagrangian	lagrangian	ADJ
ispiv-190	38	35	velocimetry	velocimetry	NOUN
ispiv-190	38	36	data	datum	NOUN
ispiv-190	38	37	.	.	PUNCT
ispiv-190	39	1	the	the	DET
ispiv-190	39	2	three	three	NUM
ispiv-190	39	3	-	-	PUNCT
ispiv-190	39	4	step	step	NOUN
ispiv-190	39	5	method	method	NOUN
ispiv-190	39	6	consists	consist	VERB
ispiv-190	39	7	of	of	ADP
ispiv-190	39	8	i	i	PRON
ispiv-190	39	9	)	)	PUNCT
ispiv-190	39	10	a	a	DET
ispiv-190	39	11	data	data	NOUN
ispiv-190	39	12	processing	processing	NOUN
ispiv-190	39	13	step	step	NOUN
ispiv-190	39	14	that	that	PRON
ispiv-190	39	15	calculates	calculate	VERB
ispiv-190	39	16	spatial	spatial	ADJ
ispiv-190	39	17	derivatives	derivative	NOUN
ispiv-190	39	18	using	use	VERB
ispiv-190	39	19	a	a	DET
ispiv-190	39	20	stable	stable	ADJ
ispiv-190	39	21	mesh	mesh	NOUN
ispiv-190	39	22	-	-	PUNCT
ispiv-190	39	23	free	free	ADJ
ispiv-190	39	24	method	method	NOUN
ispiv-190	39	25	based	base	VERB
ispiv-190	39	26	on	on	ADP
ispiv-190	39	27	radial	radial	ADJ
ispiv-190	39	28	basis	basis	NOUN
ispiv-190	39	29	functions	function	NOUN
ispiv-190	39	30	(	(	PUNCT
ispiv-190	39	31	rbfs	rbfs	NOUN
ispiv-190	39	32	)	)	PUNCT
ispiv-190	39	33	,	,	PUNCT
ispiv-190	39	34	ii	ii	PROPN
ispiv-190	39	35	)	)	PUNCT
ispiv-190	39	36	a	a	DET
ispiv-190	39	37	pre	pre	ADJ
ispiv-190	39	38	-	-	ADJ
ispiv-190	39	39	processing	processing	ADJ
ispiv-190	39	40	step	step	NOUN
ispiv-190	39	41	that	that	PRON
ispiv-190	39	42	improves	improve	VERB
ispiv-190	39	43	the	the	DET
ispiv-190	39	44	data	datum	NOUN
ispiv-190	39	45	quality	quality	NOUN
ispiv-190	39	46	by	by	ADP
ispiv-190	39	47	leveraging	leverage	VERB
ispiv-190	39	48	the	the	DET
ispiv-190	39	49	data	datum	NOUN
ispiv-190	39	50	layout	layout	NOUN
ispiv-190	39	51	and	and	CCONJ
ispiv-190	39	52	smoothing	smooth	VERB
ispiv-190	39	53	the	the	DET
ispiv-190	39	54	potential	potential	ADJ
ispiv-190	39	55	noise	noise	NOUN
ispiv-190	39	56	from	from	ADP
ispiv-190	39	57	the	the	DET
ispiv-190	39	58	experiments	experiment	NOUN
ispiv-190	39	59	,	,	PUNCT
ispiv-190	39	60	and	and	CCONJ
ispiv-190	39	61	iii	iii	X
ispiv-190	39	62	)	)	PUNCT
ispiv-190	39	63	a	a	DET
ispiv-190	39	64	post	post	NOUN
ispiv-190	39	65	-	-	ADJ
ispiv-190	39	66	processing	processing	NOUN
ispiv-190	39	67	that	that	PRON
ispiv-190	39	68	removes	remove	VERB
ispiv-190	39	69	possibles	possible	NOUN
ispiv-190	39	70	outliers	outlier	NOUN
ispiv-190	39	71	.	.	PUNCT
ispiv-190	40	1	this	this	DET
ispiv-190	40	2	data	data	NOUN
ispiv-190	40	3	analysis	analysis	NOUN
ispiv-190	40	4	method	method	NOUN
ispiv-190	40	5	is	be	AUX
ispiv-190	40	6	verified	verify	VERB
ispiv-190	40	7	using	use	VERB
ispiv-190	40	8	simulated	simulated	ADJ
ispiv-190	40	9	ptv	ptv	PROPN
ispiv-190	40	10	data	datum	NOUN
ispiv-190	40	11	in	in	ADP
ispiv-190	40	12	2d	2d	NUM
ispiv-190	40	13	and	and	CCONJ
ispiv-190	40	14	3d	3d	NUM
ispiv-190	40	15	and	and	CCONJ
ispiv-190	40	16	then	then	ADV
ispiv-190	40	17	tested	test	VERB
ispiv-190	40	18	on	on	ADP
ispiv-190	40	19	experimental	experimental	ADJ
ispiv-190	40	20	data	datum	NOUN
ispiv-190	40	21	from	from	ADP
ispiv-190	40	22	an	an	DET
ispiv-190	40	23	mptv	mptv	ADJ
ispiv-190	40	24	system	system	NOUN
ispiv-190	40	25	in	in	ADP
ispiv-190	40	26	3d	3d	NUM
ispiv-190	40	27	.	.	PUNCT
ispiv-190	41	1	2	2	NUM
ispiv-190	41	2	data	datum	NOUN
ispiv-190	41	3	processing	processing	NOUN
ispiv-190	41	4	:	:	PUNCT
ispiv-190	41	5	rbf	rbf	PROPN
ispiv-190	41	6	-	-	PROPN
ispiv-190	41	7	qr	qr	PROPN
ispiv-190	41	8	and	and	CCONJ
ispiv-190	41	9	pum	pum	PROPN
ispiv-190	41	10	for	for	ADP
ispiv-190	41	11	stable	stable	ADJ
ispiv-190	41	12	gradient	gradient	NOUN
ispiv-190	41	13	evaluation	evaluation	NOUN
ispiv-190	41	14	2.1	2.1	NUM
ispiv-190	41	15	rbf	rbf	PROPN
ispiv-190	41	16	-	-	PUNCT
ispiv-190	41	17	qr	qr	PROPN
ispiv-190	41	18	as	as	ADP
ispiv-190	41	19	stable	stable	ADJ
ispiv-190	41	20	mesh	mesh	NOUN
ispiv-190	41	21	-	-	PUNCT
ispiv-190	41	22	free	free	ADJ
ispiv-190	41	23	method	method	NOUN
ispiv-190	41	24	radial	radial	ADJ
ispiv-190	41	25	basis	basis	NOUN
ispiv-190	41	26	functions	function	NOUN
ispiv-190	41	27	(	(	PUNCT
ispiv-190	41	28	rbfs	rbfs	NOUN
ispiv-190	41	29	)	)	PUNCT
ispiv-190	41	30	are	be	AUX
ispiv-190	41	31	a	a	DET
ispiv-190	41	32	class	class	NOUN
ispiv-190	41	33	of	of	ADP
ispiv-190	41	34	mesh	mesh	NOUN
ispiv-190	41	35	-	-	PUNCT
ispiv-190	41	36	free	free	ADJ
ispiv-190	41	37	methods	method	NOUN
ispiv-190	41	38	that	that	PRON
ispiv-190	41	39	are	be	AUX
ispiv-190	41	40	increasingly	increasingly	ADV
ispiv-190	41	41	applied	apply	VERB
ispiv-190	41	42	in	in	ADP
ispiv-190	41	43	many	many	ADJ
ispiv-190	41	44	fields	field	NOUN
ispiv-190	41	45	,	,	PUNCT
ispiv-190	41	46	such	such	ADJ
ispiv-190	41	47	as	as	ADP
ispiv-190	41	48	computational	computational	ADJ
ispiv-190	41	49	physics	physics	NOUN
ispiv-190	41	50	and	and	CCONJ
ispiv-190	41	51	machine	machine	NOUN
ispiv-190	41	52	learning	learning	NOUN
ispiv-190	41	53	.	.	PUNCT
ispiv-190	42	1	rbfs	rbfs	NOUN
ispiv-190	42	2	are	be	AUX
ispiv-190	42	3	often	often	ADV
ispiv-190	42	4	used	use	VERB
ispiv-190	42	5	as	as	ADP
ispiv-190	42	6	an	an	DET
ispiv-190	42	7	interpolation	interpolation	NOUN
ispiv-190	42	8	and	and	CCONJ
ispiv-190	42	9	approximation	approximation	NOUN
ispiv-190	42	10	tool	tool	NOUN
ispiv-190	42	11	that	that	PRON
ispiv-190	42	12	can	can	AUX
ispiv-190	42	13	handle	handle	VERB
ispiv-190	42	14	high	high	ADJ
ispiv-190	42	15	-	-	PUNCT
ispiv-190	42	16	dimensional	dimensional	ADJ
ispiv-190	42	17	scattered	scatter	VERB
ispiv-190	42	18	data	datum	NOUN
ispiv-190	42	19	.	.	PUNCT
ispiv-190	43	1	a	a	DET
ispiv-190	43	2	typical	typical	ADJ
ispiv-190	43	3	rbf	rbf	PROPN
ispiv-190	43	4	-	-	PUNCT
ispiv-190	43	5	based	base	VERB
ispiv-190	43	6	interpolation	interpolation	NOUN
ispiv-190	43	7	problem	problem	NOUN
ispiv-190	43	8	can	can	AUX
ispiv-190	43	9	be	be	AUX
ispiv-190	43	10	stated	state	VERB
ispiv-190	43	11	as	as	SCONJ
ispiv-190	43	12	follows	follow	VERB
ispiv-190	43	13	.	.	PUNCT
ispiv-190	44	1	given	give	VERB
ispiv-190	44	2	the	the	DET
ispiv-190	44	3	known	know	VERB
ispiv-190	44	4	scalar	scalar	ADJ
ispiv-190	44	5	data	datum	NOUN
ispiv-190	45	1	f	f	PROPN
ispiv-190	45	2	c	c	NOUN
ispiv-190	46	1	i	i	PRON
ispiv-190	46	2	∈	∈	NOUN
ispiv-190	46	3	r	r	NOUN
ispiv-190	46	4	at	at	ADP
ispiv-190	46	5	n	n	PRON
ispiv-190	46	6	scattered	scatter	VERB
ispiv-190	46	7	node	node	ADJ
ispiv-190	46	8	centers	center	NOUN
ispiv-190	46	9	xxxc	xxxc	VERB
ispiv-190	47	1	i	i	PRON
ispiv-190	47	2	∈	∈	PROPN
ispiv-190	47	3	rd	rd	PROPN
ispiv-190	47	4	,	,	PUNCT
ispiv-190	47	5	i	i	PRON
ispiv-190	47	6	=	=	NOUN
ispiv-190	47	7	1,2,3	1,2,3	NUM
ispiv-190	47	8	,	,	PUNCT
ispiv-190	47	9	...	...	PUNCT
ispiv-190	47	10	n	n	CCONJ
ispiv-190	47	11	,	,	PUNCT
ispiv-190	47	12	(	(	PUNCT
ispiv-190	47	13	d	d	NOUN
ispiv-190	47	14	is	be	AUX
ispiv-190	47	15	the	the	DET
ispiv-190	47	16	number	number	NOUN
ispiv-190	47	17	of	of	ADP
ispiv-190	47	18	dimension	dimension	NOUN
ispiv-190	47	19	of	of	ADP
ispiv-190	47	20	xxxc	xxxc	PROPN
ispiv-190	47	21	i	i	PROPN
ispiv-190	47	22	)	)	PUNCT
ispiv-190	47	23	,	,	PUNCT
ispiv-190	47	24	we	we	PRON
ispiv-190	47	25	look	look	VERB
ispiv-190	47	26	for	for	ADP
ispiv-190	47	27	a	a	DET
ispiv-190	47	28	reconstructing	reconstructing	NOUN
ispiv-190	47	29	function	function	NOUN
ispiv-190	47	30	s(xxx	s(xxx	NOUN
ispiv-190	47	31	)	)	PUNCT
ispiv-190	47	32	that	that	PRON
ispiv-190	47	33	interpolates	interpolate	VERB
ispiv-190	47	34	these	these	DET
ispiv-190	47	35	known	know	VERB
ispiv-190	47	36	data	datum	NOUN
ispiv-190	47	37	(	(	PUNCT
ispiv-190	47	38	also	also	ADV
ispiv-190	47	39	called	call	VERB
ispiv-190	47	40	centers	center	NOUN
ispiv-190	47	41	)	)	PUNCT
ispiv-190	47	42	.	.	PUNCT
ispiv-190	48	1	this	this	DET
ispiv-190	48	2	function	function	NOUN
ispiv-190	48	3	is	be	AUX
ispiv-190	48	4	a	a	DET
ispiv-190	48	5	linear	linear	ADJ
ispiv-190	48	6	combination	combination	NOUN
ispiv-190	48	7	of	of	ADP
ispiv-190	48	8	n	n	PRON
ispiv-190	48	9	rbfs	rbfs	NOUN
ispiv-190	48	10	in	in	ADP
ispiv-190	48	11	the	the	DET
ispiv-190	48	12	form	form	NOUN
ispiv-190	48	13	of	of	ADP
ispiv-190	48	14	s(xxx	s(xxx	NOUN
ispiv-190	48	15	)	)	PUNCT
ispiv-190	48	16	=	=	PUNCT
ispiv-190	49	1	n	n	CCONJ
ispiv-190	49	2	∑	∑	PROPN
ispiv-190	49	3	i=1	i=1	PROPN
ispiv-190	49	4	λiφ(ε	λiφ(ε	PROPN
ispiv-190	49	5	,	,	PUNCT
ispiv-190	49	6	ri	ri	NOUN
ispiv-190	49	7	)	)	PUNCT
ispiv-190	49	8	=	=	SYM
ispiv-190	50	1	n	n	CCONJ
ispiv-190	50	2	∑	∑	ADP
ispiv-190	50	3	i=1	i=1	X
ispiv-190	50	4	λiφ(ε,‖xxx−	λiφ(ε,‖xxx−	X
ispiv-190	50	5	xxxc	xxxc	NOUN
ispiv-190	50	6	i	i	PRON
ispiv-190	50	7	‖	‖	PROPN
ispiv-190	50	8	)	)	PUNCT
ispiv-190	50	9	,	,	PUNCT
ispiv-190	50	10	(	(	PUNCT
ispiv-190	50	11	1	1	X
ispiv-190	50	12	)	)	PUNCT
ispiv-190	50	13	where	where	SCONJ
ispiv-190	50	14	φ(ε	φ(ε	PROPN
ispiv-190	50	15	,	,	PUNCT
ispiv-190	50	16	ri	ri	PROPN
ispiv-190	50	17	)	)	PUNCT
ispiv-190	50	18	is	be	AUX
ispiv-190	50	19	a	a	DET
ispiv-190	50	20	rbf	rbf	PROPN
ispiv-190	50	21	,	,	PUNCT
ispiv-190	50	22	and	and	CCONJ
ispiv-190	50	23	ε	ε	PROPN
ispiv-190	50	24	is	be	AUX
ispiv-190	50	25	a	a	DET
ispiv-190	50	26	parameter	parameter	NOUN
ispiv-190	50	27	called	call	VERB
ispiv-190	50	28	the	the	DET
ispiv-190	50	29	‘	'	PUNCT
ispiv-190	50	30	shape	shape	NOUN
ispiv-190	50	31	factor	factor	NOUN
ispiv-190	50	32	’	'	PUNCT
ispiv-190	50	33	that	that	PRON
ispiv-190	50	34	controls	control	VERB
ispiv-190	50	35	the	the	DET
ispiv-190	50	36	shape	shape	NOUN
ispiv-190	50	37	(	(	PUNCT
ispiv-190	50	38	e.g.	e.g.	ADV
ispiv-190	50	39	,	,	PUNCT
ispiv-190	50	40	spiky	spiky	NOUN
ispiv-190	50	41	or	or	CCONJ
ispiv-190	50	42	flat	flat	ADJ
ispiv-190	50	43	)	)	PUNCT
ispiv-190	50	44	of	of	ADP
ispiv-190	50	45	the	the	DET
ispiv-190	50	46	rbf	rbf	PROPN
ispiv-190	50	47	,	,	PUNCT
ispiv-190	50	48	and	and	CCONJ
ispiv-190	50	49	ri	ri	X
ispiv-190	50	50	=	=	SYM
ispiv-190	50	51	‖xxx−	‖xxx−	ADJ
ispiv-190	50	52	xxxc	xxxc	NOUN
ispiv-190	51	1	i	i	PRON
ispiv-190	51	2	‖	‖	PROPN
ispiv-190	51	3	is	be	AUX
ispiv-190	51	4	the	the	DET
ispiv-190	51	5	euclidean	euclidean	ADJ
ispiv-190	51	6	distance	distance	NOUN
ispiv-190	51	7	from	from	ADP
ispiv-190	51	8	a	a	DET
ispiv-190	51	9	location	location	NOUN
ispiv-190	51	10	in	in	ADP
ispiv-190	51	11	the	the	DET
ispiv-190	51	12	domain	domain	NOUN
ispiv-190	51	13	to	to	ADP
ispiv-190	51	14	a	a	DET
ispiv-190	51	15	center	center	NOUN
ispiv-190	51	16	.	.	PUNCT
ispiv-190	52	1	one	one	NUM
ispiv-190	52	2	of	of	ADP
ispiv-190	52	3	the	the	DET
ispiv-190	52	4	common	common	ADJ
ispiv-190	52	5	choices	choice	NOUN
ispiv-190	52	6	for	for	ADP
ispiv-190	52	7	φ(ε	φ(ε	PROPN
ispiv-190	52	8	,	,	PUNCT
ispiv-190	52	9	r	r	NOUN
ispiv-190	52	10	)	)	PUNCT
ispiv-190	52	11	is	be	AUX
ispiv-190	52	12	the	the	DET
ispiv-190	52	13	gaussian	gaussian	ADJ
ispiv-190	52	14	rbf	rbf	PROPN
ispiv-190	52	15	(	(	PUNCT
ispiv-190	52	16	i.e.	i.e.	X
ispiv-190	52	17	,	,	PUNCT
ispiv-190	52	18	φ(r	φ(r	ADJ
ispiv-190	52	19	)	)	PUNCT
ispiv-190	52	20	=	=	SYM
ispiv-190	52	21	exp(−ε2r2	exp(−ε2r2	NOUN
ispiv-190	52	22	)	)	PUNCT
ispiv-190	52	23	)	)	PUNCT
ispiv-190	52	24	.	.	PUNCT
ispiv-190	53	1	the	the	DET
ispiv-190	53	2	coefficient	coefficient	NOUN
ispiv-190	53	3	λi	λi	INTJ
ispiv-190	53	4	can	can	AUX
ispiv-190	53	5	be	be	AUX
ispiv-190	53	6	determined	determine	VERB
ispiv-190	53	7	by	by	ADP
ispiv-190	53	8	enforcing	enforce	VERB
ispiv-190	53	9	s(xxxc	s(xxxc	NOUN
ispiv-190	53	10	i	i	PRON
ispiv-190	53	11	)	)	PUNCT
ispiv-190	54	1	=	=	PUNCT
ispiv-190	55	1	f	f	X
ispiv-190	55	2	c	c	NOUN
ispiv-190	56	1	i	i	INTJ
ispiv-190	56	2	.	.	PUNCT
ispiv-190	57	1	the	the	DET
ispiv-190	57	2	corresponding	corresponding	ADJ
ispiv-190	57	3	linear	linear	NOUN
ispiv-190	57	4	system	system	NOUN
ispiv-190	57	5	is	be	AUX
ispiv-190	57	6	fff	fff	PROPN
ispiv-190	57	7	=	=	SYM
ispiv-190	57	8	hhhλλλ	hhhλλλ	NOUN
ispiv-190	57	9	,	,	PUNCT
ispiv-190	57	10	where	where	SCONJ
ispiv-190	57	11	hhh	hhh	PROPN
ispiv-190	57	12	has	have	VERB
ispiv-190	57	13	entries	entry	NOUN
ispiv-190	58	1	hi	hi	INTJ
ispiv-190	58	2	j	j	PROPN
ispiv-190	58	3	=	=	SYM
ispiv-190	58	4	φ	φ	PROPN
ispiv-190	58	5	(	(	PUNCT
ispiv-190	58	6	ε	ε	PROPN
ispiv-190	58	7	,	,	PUNCT
ispiv-190	58	8	∥∥∥xc	∥∥∥xc	PROPN
ispiv-190	58	9	i	i	PRON
ispiv-190	58	10	−	−	PROPN
ispiv-190	58	11	xc	xc	PROPN
ispiv-190	58	12	j	j	PROPN
ispiv-190	58	13	∥∥∥	∥∥∥	PROPN
ispiv-190	58	14	)	)	PUNCT
ispiv-190	58	15	,	,	PUNCT
ispiv-190	58	16	λλλ	λλλ	NOUN
ispiv-190	58	17	=	=	SYM
ispiv-190	58	18	(	(	PUNCT
ispiv-190	58	19	λ1,λ2	λ1,λ2	PROPN
ispiv-190	58	20	,	,	PUNCT
ispiv-190	58	21	...	...	PUNCT
ispiv-190	58	22	,	,	PUNCT
ispiv-190	58	23	λn	λn	NOUN
ispiv-190	58	24	)	)	PUNCT
ispiv-190	58	25	t	t	NOUN
ispiv-190	58	26	,	,	PUNCT
ispiv-190	58	27	and	and	CCONJ
ispiv-190	58	28	fff	fff	PROPN
ispiv-190	58	29	=	=	PUNCT
ispiv-190	59	1	(	(	PUNCT
ispiv-190	59	2	f	f	PROPN
ispiv-190	59	3	c	c	PROPN
ispiv-190	59	4	1	1	NUM
ispiv-190	59	5	,	,	PUNCT
ispiv-190	59	6	f	f	PROPN
ispiv-190	59	7	c	c	PROPN
ispiv-190	59	8	2	2	NUM
ispiv-190	59	9	,	,	PUNCT
ispiv-190	59	10	...	...	PUNCT
ispiv-190	59	11	,	,	PUNCT
ispiv-190	59	12	f	f	PROPN
ispiv-190	59	13	c	c	PROPN
ispiv-190	59	14	n	n	CCONJ
ispiv-190	59	15	)	)	PUNCT
ispiv-190	59	16	t	t	PROPN
ispiv-190	59	17	.	.	PUNCT
ispiv-190	60	1	by	by	ADP
ispiv-190	60	2	inverting	invert	VERB
ispiv-190	60	3	hhh	hhh	PROPN
ispiv-190	60	4	,	,	PUNCT
ispiv-190	60	5	λλλ	λλλ	PROPN
ispiv-190	60	6	=	=	SYM
ispiv-190	60	7	hhh−1	hhh−1	PROPN
ispiv-190	60	8	fff	fff	PROPN
ispiv-190	60	9	can	can	AUX
ispiv-190	60	10	be	be	AUX
ispiv-190	60	11	solved	solve	VERB
ispiv-190	60	12	for	for	ADP
ispiv-190	60	13	eq	eq	PROPN
ispiv-190	60	14	.	.	PUNCT
ispiv-190	61	1	(	(	PUNCT
ispiv-190	61	2	1	1	NUM
ispiv-190	61	3	)	)	PUNCT
ispiv-190	61	4	.	.	PUNCT
ispiv-190	62	1	derivatives	derivative	NOUN
ispiv-190	62	2	of	of	ADP
ispiv-190	62	3	s(xxx	s(xxx	NOUN
ispiv-190	62	4	)	)	PUNCT
ispiv-190	62	5	can	can	AUX
ispiv-190	62	6	be	be	AUX
ispiv-190	62	7	easily	easily	ADV
ispiv-190	62	8	calculated	calculate	VERB
ispiv-190	62	9	by	by	ADP
ispiv-190	62	10	applying	apply	VERB
ispiv-190	62	11	a	a	DET
ispiv-190	62	12	corresponding	corresponding	ADJ
ispiv-190	62	13	differential	differential	ADJ
ispiv-190	62	14	operator	operator	NOUN
ispiv-190	62	15	to	to	ADP
ispiv-190	62	16	φ(ε,‖xxx−	φ(ε,‖xxx−	PROPN
ispiv-190	62	17	xxxc	xxxc	NOUN
ispiv-190	62	18	i	i	PRON
ispiv-190	62	19	‖	‖	PROPN
ispiv-190	62	20	)	)	PUNCT
ispiv-190	62	21	.	.	PUNCT
ispiv-190	63	1	for	for	ADP
ispiv-190	63	2	example	example	NOUN
ispiv-190	63	3	,	,	PUNCT
ispiv-190	63	4	sy(xxx	sy(xxx	PROPN
ispiv-190	63	5	)	)	PUNCT
ispiv-190	63	6	=	=	PUNCT
ispiv-190	64	1	∑	∑	PUNCT
ispiv-190	64	2	n	n	CCONJ
ispiv-190	64	3	i=1	i=1	PROPN
ispiv-190	64	4	λiφy(ε	λiφy(ε	PROPN
ispiv-190	64	5	,	,	PUNCT
ispiv-190	64	6	ri	ri	NOUN
ispiv-190	64	7	)	)	PUNCT
ispiv-190	64	8	is	be	AUX
ispiv-190	64	9	the	the	DET
ispiv-190	64	10	spatial	spatial	ADJ
ispiv-190	64	11	derivative	derivative	NOUN
ispiv-190	64	12	of	of	ADP
ispiv-190	64	13	s(xxx	s(xxx	NOUN
ispiv-190	64	14	)	)	PUNCT
ispiv-190	64	15	with	with	ADP
ispiv-190	64	16	respect	respect	NOUN
ispiv-190	64	17	to	to	PART
ispiv-190	64	18	coordinate	coordinate	VERB
ispiv-190	64	19	y.	y.	NOUN
ispiv-190	64	20	this	this	DET
ispiv-190	64	21	straightforward	straightforward	ADJ
ispiv-190	64	22	approach	approach	NOUN
ispiv-190	64	23	is	be	AUX
ispiv-190	64	24	commonly	commonly	ADV
ispiv-190	64	25	called	call	VERB
ispiv-190	64	26	‘	'	PUNCT
ispiv-190	64	27	rbf	rbf	PROPN
ispiv-190	64	28	-	-	ADJ
ispiv-190	64	29	direct	direct	ADJ
ispiv-190	64	30	’	'	PUNCT
ispiv-190	64	31	.	.	PUNCT
ispiv-190	65	1	for	for	ADP
ispiv-190	65	2	data	data	NOUN
ispiv-190	65	3	interpolation	interpolation	NOUN
ispiv-190	65	4	using	use	VERB
ispiv-190	65	5	a	a	DET
ispiv-190	65	6	smooth	smooth	ADJ
ispiv-190	65	7	function	function	NOUN
ispiv-190	65	8	,	,	PUNCT
ispiv-190	65	9	small	small	ADJ
ispiv-190	65	10	ε	ε	PROPN
ispiv-190	65	11	corresponding	correspond	VERB
ispiv-190	65	12	to	to	ADP
ispiv-190	65	13	flat	flat	ADJ
ispiv-190	65	14	rbfs	rbfs	NOUN
ispiv-190	65	15	leads	lead	VERB
ispiv-190	65	16	to	to	ADP
ispiv-190	65	17	accurate	accurate	ADJ
ispiv-190	65	18	interpolation	interpolation	NOUN
ispiv-190	65	19	.	.	PUNCT
ispiv-190	66	1	however	however	ADV
ispiv-190	66	2	,	,	PUNCT
ispiv-190	66	3	if	if	SCONJ
ispiv-190	66	4	the	the	DET
ispiv-190	66	5	rbf	rbf	PROPN
ispiv-190	66	6	-	-	ADJ
ispiv-190	66	7	direct	direct	ADJ
ispiv-190	66	8	approach	approach	NOUN
ispiv-190	66	9	is	be	AUX
ispiv-190	66	10	used	use	VERB
ispiv-190	66	11	,	,	PUNCT
ispiv-190	66	12	a	a	DET
ispiv-190	66	13	flat	flat	ADJ
ispiv-190	66	14	rbf	rbf	PROPN
ispiv-190	66	15	also	also	ADV
ispiv-190	66	16	results	result	VERB
ispiv-190	66	17	in	in	ADP
ispiv-190	66	18	an	an	DET
ispiv-190	66	19	ill	ill	ADV
ispiv-190	66	20	-	-	PUNCT
ispiv-190	66	21	conditioned	condition	VERB
ispiv-190	66	22	hhh	hhh	NOUN
ispiv-190	66	23	and	and	CCONJ
ispiv-190	66	24	,	,	PUNCT
ispiv-190	66	25	thus	thus	ADV
ispiv-190	66	26	,	,	PUNCT
ispiv-190	66	27	numerical	numerical	ADJ
ispiv-190	66	28	instability	instability	NOUN
ispiv-190	66	29	.	.	PUNCT
ispiv-190	67	1	to	to	PART
ispiv-190	67	2	overcome	overcome	VERB
ispiv-190	67	3	this	this	DET
ispiv-190	67	4	problem	problem	NOUN
ispiv-190	67	5	,	,	PUNCT
ispiv-190	67	6	there	there	PRON
ispiv-190	67	7	are	be	VERB
ispiv-190	67	8	currently	currently	ADV
ispiv-190	67	9	three	three	NUM
ispiv-190	67	10	primary	primary	ADJ
ispiv-190	67	11	versions	version	NOUN
ispiv-190	67	12	of	of	ADP
ispiv-190	67	13	stable	stable	ADJ
ispiv-190	67	14	rbf	rbf	PROPN
ispiv-190	67	15	algorithms	algorithms	PROPN
ispiv-190	67	16	(	(	PUNCT
ispiv-190	67	17	wright	wright	PROPN
ispiv-190	67	18	and	and	CCONJ
ispiv-190	67	19	fornberg	fornberg	PROPN
ispiv-190	67	20	,	,	PUNCT
ispiv-190	67	21	2016	2016	NUM
ispiv-190	67	22	):	):	PUNCT
ispiv-190	67	23	the	the	DET
ispiv-190	67	24	contour	contour	NOUN
ispiv-190	67	25	-	-	PUNCT
ispiv-190	67	26	padé	padé	NOUN
ispiv-190	67	27	(	(	PUNCT
ispiv-190	67	28	rbf	rbf	PROPN
ispiv-190	67	29	-	-	PUNCT
ispiv-190	67	30	cp	cp	NOUN
ispiv-190	67	31	)	)	PUNCT
ispiv-190	67	32	,	,	PUNCT
ispiv-190	67	33	rbf	rbf	PROPN
ispiv-190	67	34	-	-	PROPN
ispiv-190	67	35	ga	ga	PROPN
ispiv-190	67	36	,	,	PUNCT
ispiv-190	67	37	and	and	CCONJ
ispiv-190	67	38	rbfqr	rbfqr	ADJ
ispiv-190	67	39	methods	method	NOUN
ispiv-190	67	40	.	.	PUNCT
ispiv-190	68	1	rbf	rbf	PROPN
ispiv-190	68	2	-	-	PUNCT
ispiv-190	68	3	cp	cp	PROPN
ispiv-190	68	4	was	be	AUX
ispiv-190	68	5	the	the	DET
ispiv-190	68	6	first	first	ADJ
ispiv-190	68	7	algorithm	algorithm	NOUN
ispiv-190	68	8	that	that	PRON
ispiv-190	68	9	removed	remove	VERB
ispiv-190	68	10	the	the	DET
ispiv-190	68	11	restriction	restriction	NOUN
ispiv-190	68	12	that	that	SCONJ
ispiv-190	68	13	the	the	DET
ispiv-190	68	14	shape	shape	NOUN
ispiv-190	68	15	factor	factor	NOUN
ispiv-190	68	16	must	must	AUX
ispiv-190	68	17	be	be	AUX
ispiv-190	68	18	a	a	DET
ispiv-190	68	19	real	real	ADJ
ispiv-190	68	20	number	number	NOUN
ispiv-190	68	21	(	(	PUNCT
ispiv-190	68	22	fornberg	fornberg	PROPN
ispiv-190	68	23	and	and	CCONJ
ispiv-190	68	24	wright	wright	PROPN
ispiv-190	68	25	,	,	PUNCT
ispiv-190	68	26	2004	2004	NUM
ispiv-190	68	27	)	)	PUNCT
ispiv-190	68	28	.	.	PUNCT
ispiv-190	69	1	in	in	ADP
ispiv-190	69	2	rbf	rbf	PROPN
ispiv-190	69	3	-	-	PUNCT
ispiv-190	69	4	cp	cp	PROPN
ispiv-190	69	5	,	,	PUNCT
ispiv-190	69	6	a	a	DET
ispiv-190	69	7	basis	basis	NOUN
ispiv-190	69	8	function	function	NOUN
ispiv-190	69	9	incorporates	incorporate	VERB
ispiv-190	69	10	a	a	DET
ispiv-190	69	11	rational	rational	ADJ
ispiv-190	69	12	function	function	NOUN
ispiv-190	69	13	of	of	ADP
ispiv-190	69	14	ε	ε	PROPN
ispiv-190	69	15	,	,	PUNCT
ispiv-190	69	16	and	and	CCONJ
ispiv-190	69	17	stable	stable	ADJ
ispiv-190	69	18	computing	computing	NOUN
ispiv-190	69	19	can	can	AUX
ispiv-190	69	20	be	be	AUX
ispiv-190	69	21	achieved	achieve	VERB
ispiv-190	69	22	with	with	ADP
ispiv-190	69	23	flat	flat	ADJ
ispiv-190	69	24	rbfs	rbfs	NOUN
ispiv-190	69	25	.	.	PUNCT
ispiv-190	70	1	a	a	DET
ispiv-190	70	2	recent	recent	ADJ
ispiv-190	70	3	extension	extension	NOUN
ispiv-190	70	4	to	to	ADP
ispiv-190	70	5	rbf	rbf	PROPN
ispiv-190	70	6	-	-	PUNCT
ispiv-190	70	7	cp	cp	PROPN
ispiv-190	70	8	is	be	AUX
ispiv-190	70	9	the	the	DET
ispiv-190	70	10	rbfra	rbfra	NOUN
ispiv-190	70	11	(	(	PUNCT
ispiv-190	70	12	wright	wright	PROPN
ispiv-190	70	13	and	and	CCONJ
ispiv-190	70	14	fornberg	fornberg	PROPN
ispiv-190	70	15	,	,	PUNCT
ispiv-190	70	16	2016	2016	NUM
ispiv-190	70	17	)	)	PUNCT
ispiv-190	70	18	,	,	PUNCT
ispiv-190	70	19	which	which	PRON
ispiv-190	70	20	is	be	AUX
ispiv-190	70	21	more	more	ADV
ispiv-190	70	22	accurate	accurate	ADJ
ispiv-190	70	23	and	and	CCONJ
ispiv-190	70	24	efficient	efficient	ADJ
ispiv-190	70	25	compared	compare	VERB
ispiv-190	70	26	to	to	ADP
ispiv-190	70	27	rbf	rbf	PROPN
ispiv-190	70	28	-	-	PUNCT
ispiv-190	70	29	cp	cp	PROPN
ispiv-190	70	30	.	.	PUNCT
ispiv-190	71	1	rbf	rbf	PROPN
ispiv-190	71	2	-	-	PUNCT
ispiv-190	71	3	ga	ga	PROPN
ispiv-190	71	4	is	be	AUX
ispiv-190	71	5	specifically	specifically	ADV
ispiv-190	71	6	based	base	VERB
ispiv-190	71	7	on	on	ADP
ispiv-190	71	8	the	the	DET
ispiv-190	71	9	gaussian	gaussian	ADJ
ispiv-190	71	10	kernel	kernel	NOUN
ispiv-190	71	11	(	(	PUNCT
ispiv-190	71	12	fornberg	fornberg	PROPN
ispiv-190	71	13	et	et	PROPN
ispiv-190	71	14	al	al	PROPN
ispiv-190	71	15	.	.	PROPN
ispiv-190	71	16	,	,	PUNCT
ispiv-190	71	17	2013	2013	NUM
ispiv-190	71	18	)	)	PUNCT
ispiv-190	71	19	.	.	PUNCT
ispiv-190	72	1	it	it	PRON
ispiv-190	72	2	transforms	transform	VERB
ispiv-190	72	3	an	an	DET
ispiv-190	72	4	ill	ill	ADV
ispiv-190	72	5	-	-	PUNCT
ispiv-190	72	6	conditioned	condition	VERB
ispiv-190	72	7	basis	basis	NOUN
ispiv-190	72	8	to	to	ADP
ispiv-190	72	9	well	well	ADV
ispiv-190	72	10	-	-	PUNCT
ispiv-190	72	11	conditioned	condition	VERB
ispiv-190	72	12	ones	one	NOUN
ispiv-190	72	13	which	which	PRON
ispiv-190	72	14	include	include	VERB
ispiv-190	72	15	the	the	DET
ispiv-190	72	16	incomplete	incomplete	ADJ
ispiv-190	72	17	gamma	gamma	NOUN
ispiv-190	72	18	function	function	NOUN
ispiv-190	72	19	instead	instead	ADV
ispiv-190	72	20	of	of	ADP
ispiv-190	72	21	a	a	DET
ispiv-190	72	22	truncated	truncated	ADJ
ispiv-190	72	23	numerical	numerical	ADJ
ispiv-190	72	24	approximation	approximation	NOUN
ispiv-190	72	25	.	.	PUNCT
ispiv-190	73	1	rbf	rbf	PROPN
ispiv-190	73	2	-	-	PUNCT
ispiv-190	73	3	qr	qr	PROPN
ispiv-190	73	4	was	be	AUX
ispiv-190	73	5	introduced	introduce	VERB
ispiv-190	73	6	by	by	ADP
ispiv-190	73	7	fornberg	fornberg	PROPN
ispiv-190	73	8	et	et	PROPN
ispiv-190	73	9	al	al	PROPN
ispiv-190	73	10	.	.	PROPN
ispiv-190	74	1	(	(	PUNCT
ispiv-190	74	2	2011	2011	NUM
ispiv-190	74	3	)	)	PUNCT
ispiv-190	75	1	and	and	CCONJ
ispiv-190	75	2	can	can	AUX
ispiv-190	75	3	handle	handle	VERB
ispiv-190	75	4	a	a	DET
ispiv-190	75	5	relatively	relatively	ADV
ispiv-190	75	6	large	large	ADJ
ispiv-190	75	7	number	number	NOUN
ispiv-190	75	8	of	of	ADP
ispiv-190	75	9	points	point	NOUN
ispiv-190	75	10	than	than	ADP
ispiv-190	75	11	rbf	rbf	PROPN
ispiv-190	75	12	-	-	PROPN
ispiv-190	75	13	ga	ga	PROPN
ispiv-190	75	14	and	and	CCONJ
ispiv-190	75	15	rbf	rbf	PROPN
ispiv-190	75	16	-	-	PUNCT
ispiv-190	75	17	cp	cp	PROPN
ispiv-190	75	18	/	/	SYM
ispiv-190	75	19	ra	ra	PROPN
ispiv-190	75	20	.	.	PUNCT
ispiv-190	76	1	these	these	DET
ispiv-190	76	2	methods	method	NOUN
ispiv-190	76	3	are	be	AUX
ispiv-190	76	4	all	all	ADV
ispiv-190	76	5	stable	stable	ADJ
ispiv-190	76	6	at	at	ADP
ispiv-190	76	7	flat	flat	ADJ
ispiv-190	76	8	limit	limit	NOUN
ispiv-190	76	9	of	of	ADP
ispiv-190	76	10	rbfs	rbfs	NOUN
ispiv-190	76	11	(	(	PUNCT
ispiv-190	76	12	e.g.	e.g.	ADV
ispiv-190	76	13	,	,	PUNCT
ispiv-190	76	14	ε	ε	PROPN
ispiv-190	76	15	→	→	SYM
ispiv-190	76	16	0	0	NUM
ispiv-190	76	17	for	for	ADP
ispiv-190	76	18	gaussian	gaussian	ADJ
ispiv-190	76	19	rbfs	rbfs	NOUN
ispiv-190	76	20	)	)	PUNCT
ispiv-190	76	21	and	and	CCONJ
ispiv-190	76	22	can	can	AUX
ispiv-190	76	23	calculate	calculate	VERB
ispiv-190	76	24	derivatives	derivative	NOUN
ispiv-190	76	25	on	on	ADP
ispiv-190	76	26	scattered	scatter	VERB
ispiv-190	76	27	data	datum	NOUN
ispiv-190	76	28	(	(	PUNCT
ispiv-190	76	29	larsson	larsson	PROPN
ispiv-190	76	30	et	et	PROPN
ispiv-190	76	31	al	al	PROPN
ispiv-190	76	32	.	.	PROPN
ispiv-190	76	33	,	,	PUNCT
ispiv-190	76	34	2013	2013	NUM
ispiv-190	76	35	)	)	PUNCT
ispiv-190	76	36	in	in	ADP
ispiv-190	76	37	high	high	ADJ
ispiv-190	76	38	dimensions	dimension	NOUN
ispiv-190	76	39	with	with	ADP
ispiv-190	76	40	a	a	DET
ispiv-190	76	41	finite	finite	ADJ
ispiv-190	76	42	number	number	NOUN
ispiv-190	76	43	of	of	ADP
ispiv-190	76	44	data	datum	NOUN
ispiv-190	76	45	points	point	NOUN
ispiv-190	76	46	.	.	PUNCT
ispiv-190	77	1	rbf	rbf	PROPN
ispiv-190	77	2	-	-	PUNCT
ispiv-190	77	3	cp	cp	PROPN
ispiv-190	77	4	and	and	CCONJ
ispiv-190	77	5	rbf	rbf	PROPN
ispiv-190	77	6	-	-	PROPN
ispiv-190	77	7	ra	ra	PROPN
ispiv-190	77	8	are	be	AUX
ispiv-190	77	9	limited	limit	VERB
ispiv-190	77	10	to	to	ADP
ispiv-190	77	11	about	about	ADP
ispiv-190	77	12	a	a	DET
ispiv-190	77	13	hundred	hundred	NUM
ispiv-190	77	14	and	and	CCONJ
ispiv-190	77	15	a	a	DET
ispiv-190	77	16	few	few	ADJ
ispiv-190	77	17	hundred	hundred	NUM
ispiv-190	77	18	points	point	NOUN
ispiv-190	77	19	in	in	ADP
ispiv-190	77	20	2d	2d	NOUN
ispiv-190	77	21	and	and	CCONJ
ispiv-190	77	22	3d	3d	NUM
ispiv-190	77	23	,	,	PUNCT
ispiv-190	77	24	respectively	respectively	ADV
ispiv-190	77	25	(	(	PUNCT
ispiv-190	77	26	fornberg	fornberg	PROPN
ispiv-190	77	27	and	and	CCONJ
ispiv-190	77	28	wright	wright	PROPN
ispiv-190	77	29	,	,	PUNCT
ispiv-190	77	30	2004	2004	NUM
ispiv-190	77	31	;	;	PUNCT
ispiv-190	77	32	fornberg	fornberg	PROPN
ispiv-190	77	33	et	et	PROPN
ispiv-190	77	34	al	al	PROPN
ispiv-190	77	35	.	.	PROPN
ispiv-190	77	36	,	,	PUNCT
ispiv-190	77	37	2013	2013	NUM
ispiv-190	77	38	;	;	PUNCT
ispiv-190	77	39	wright	wright	PROPN
ispiv-190	77	40	and	and	CCONJ
ispiv-190	77	41	fornberg	fornberg	PROPN
ispiv-190	77	42	,	,	PUNCT
ispiv-190	77	43	2016	2016	NUM
ispiv-190	77	44	)	)	PUNCT
ispiv-190	77	45	.	.	PUNCT
ispiv-190	78	1	rbf	rbf	PROPN
ispiv-190	78	2	-	-	PROPN
ispiv-190	78	3	ga	ga	PROPN
ispiv-190	78	4	can	can	AUX
ispiv-190	78	5	increase	increase	VERB
ispiv-190	78	6	these	these	PRON
ispiv-190	78	7	to	to	ADP
ispiv-190	78	8	a	a	DET
ispiv-190	78	9	few	few	ADJ
ispiv-190	78	10	hundred	hundred	NUM
ispiv-190	78	11	in	in	ADP
ispiv-190	78	12	2d	2d	NOUN
ispiv-190	78	13	and	and	CCONJ
ispiv-190	78	14	greater	great	ADJ
ispiv-190	78	15	than	than	ADP
ispiv-190	78	16	500	500	NUM
ispiv-190	78	17	in	in	ADP
ispiv-190	78	18	3d	3d	PROPN
ispiv-190	78	19	(	(	PUNCT
ispiv-190	78	20	fornberg	fornberg	PROPN
ispiv-190	78	21	et	et	PROPN
ispiv-190	78	22	al	al	PROPN
ispiv-190	78	23	.	.	PROPN
ispiv-190	78	24	,	,	PUNCT
ispiv-190	78	25	2013	2013	NUM
ispiv-190	78	26	)	)	PUNCT
ispiv-190	78	27	,	,	PUNCT
ispiv-190	78	28	while	while	SCONJ
ispiv-190	78	29	rbf	rbf	PROPN
ispiv-190	78	30	-	-	PROPN
ispiv-190	78	31	qr	qr	PROPN
ispiv-190	78	32	can	can	AUX
ispiv-190	78	33	use	use	VERB
ispiv-190	78	34	hundreds	hundred	NOUN
ispiv-190	78	35	of	of	ADP
ispiv-190	78	36	points	point	NOUN
ispiv-190	78	37	in	in	ADP
ispiv-190	78	38	2d	2d	NUM
ispiv-190	78	39	and	and	CCONJ
ispiv-190	78	40	thousands	thousand	NOUN
ispiv-190	78	41	of	of	ADP
ispiv-190	78	42	points	point	NOUN
ispiv-190	78	43	in	in	ADP
ispiv-190	78	44	3d	3d	NUM
ispiv-190	78	45	with	with	ADP
ispiv-190	78	46	double	double	ADJ
ispiv-190	78	47	precision	precision	NOUN
ispiv-190	78	48	(	(	PUNCT
ispiv-190	78	49	fornberg	fornberg	PROPN
ispiv-190	78	50	et	et	PROPN
ispiv-190	78	51	al	al	PROPN
ispiv-190	78	52	.	.	PROPN
ispiv-190	78	53	,	,	PUNCT
ispiv-190	78	54	2011	2011	NUM
ispiv-190	78	55	)	)	PUNCT
ispiv-190	78	56	.	.	PUNCT
ispiv-190	79	1	in	in	ADP
ispiv-190	79	2	the	the	DET
ispiv-190	79	3	current	current	ADJ
ispiv-190	79	4	work	work	NOUN
ispiv-190	79	5	,	,	PUNCT
ispiv-190	79	6	we	we	PRON
ispiv-190	79	7	use	use	VERB
ispiv-190	79	8	rbf	rbf	PROPN
ispiv-190	79	9	-	-	PUNCT
ispiv-190	79	10	qr	qr	PROPN
ispiv-190	79	11	as	as	ADP
ispiv-190	79	12	the	the	DET
ispiv-190	79	13	core	core	NOUN
ispiv-190	79	14	numerical	numerical	ADJ
ispiv-190	79	15	method	method	NOUN
ispiv-190	79	16	to	to	PART
ispiv-190	79	17	compute	compute	VERB
ispiv-190	79	18	gradients	gradient	NOUN
ispiv-190	79	19	on	on	ADP
ispiv-190	79	20	scattered	scatter	VERB
ispiv-190	79	21	data	datum	NOUN
ispiv-190	79	22	.	.	PUNCT
ispiv-190	80	1	implementation	implementation	NOUN
ispiv-190	80	2	details	detail	NOUN
ispiv-190	80	3	of	of	ADP
ispiv-190	80	4	rbf	rbf	PROPN
ispiv-190	80	5	-	-	PROPN
ispiv-190	80	6	qr	qr	PROPN
ispiv-190	80	7	in	in	ADP
ispiv-190	80	8	2d	2d	NUM
ispiv-190	80	9	and	and	CCONJ
ispiv-190	80	10	3d	3d	NOUN
ispiv-190	80	11	can	can	AUX
ispiv-190	80	12	be	be	AUX
ispiv-190	80	13	found	find	VERB
ispiv-190	80	14	in	in	ADP
ispiv-190	80	15	fornberg	fornberg	PROPN
ispiv-190	80	16	et	et	PROPN
ispiv-190	80	17	al	al	PROPN
ispiv-190	80	18	.	.	PROPN
ispiv-190	81	1	(	(	PUNCT
ispiv-190	81	2	2011	2011	NUM
ispiv-190	81	3	)	)	PUNCT
ispiv-190	81	4	;	;	PUNCT
ispiv-190	81	5	larsson	larsson	PROPN
ispiv-190	81	6	et	et	PROPN
ispiv-190	81	7	al	al	PROPN
ispiv-190	81	8	.	.	PROPN
ispiv-190	82	1	(	(	PUNCT
ispiv-190	82	2	2013	2013	NUM
ispiv-190	82	3	)	)	PUNCT
ispiv-190	82	4	.	.	PUNCT
ispiv-190	83	1	2.2	2.2	NUM
ispiv-190	83	2	localization	localization	NOUN
ispiv-190	83	3	by	by	ADP
ispiv-190	83	4	partition	partition	NOUN
ispiv-190	83	5	of	of	ADP
ispiv-190	83	6	unity	unity	NOUN
ispiv-190	83	7	method	method	NOUN
ispiv-190	83	8	(	(	PUNCT
ispiv-190	83	9	pum	pum	PROPN
ispiv-190	83	10	)	)	PUNCT
ispiv-190	83	11	as	as	SCONJ
ispiv-190	83	12	mentioned	mention	VERB
ispiv-190	83	13	above	above	ADV
ispiv-190	83	14	,	,	PUNCT
ispiv-190	83	15	flat	flat	ADJ
ispiv-190	83	16	rbfs	rbfs	NOUN
ispiv-190	83	17	are	be	AUX
ispiv-190	83	18	often	often	ADV
ispiv-190	83	19	used	use	VERB
ispiv-190	83	20	to	to	PART
ispiv-190	83	21	achieve	achieve	VERB
ispiv-190	83	22	high	high	ADJ
ispiv-190	83	23	accuracy	accuracy	NOUN
ispiv-190	83	24	reconstruction	reconstruction	NOUN
ispiv-190	83	25	at	at	ADP
ispiv-190	83	26	the	the	DET
ispiv-190	83	27	expense	expense	NOUN
ispiv-190	83	28	of	of	ADP
ispiv-190	83	29	illconditioning	illconditione	VERB
ispiv-190	83	30	.	.	PUNCT
ispiv-190	84	1	however	however	ADV
ispiv-190	84	2	,	,	PUNCT
ispiv-190	84	3	this	this	PRON
ispiv-190	84	4	is	be	AUX
ispiv-190	84	5	not	not	PART
ispiv-190	84	6	only	only	ADV
ispiv-190	84	7	caused	cause	VERB
ispiv-190	84	8	by	by	ADP
ispiv-190	84	9	using	use	VERB
ispiv-190	84	10	flat	flat	ADJ
ispiv-190	84	11	rbfs	rbfs	NOUN
ispiv-190	84	12	(	(	PUNCT
ispiv-190	84	13	or	or	CCONJ
ispiv-190	84	14	the	the	DET
ispiv-190	84	15	choice	choice	NOUN
ispiv-190	84	16	of	of	ADP
ispiv-190	84	17	value	value	NOUN
ispiv-190	84	18	of	of	ADP
ispiv-190	84	19	shape	shape	NOUN
ispiv-190	84	20	factor	factor	NOUN
ispiv-190	84	21	)	)	PUNCT
ispiv-190	84	22	.	.	PUNCT
ispiv-190	85	1	for	for	ADP
ispiv-190	85	2	a	a	DET
ispiv-190	85	3	fixed	fix	VERB
ispiv-190	85	4	value	value	NOUN
ispiv-190	85	5	of	of	ADP
ispiv-190	85	6	shape	shape	NOUN
ispiv-190	85	7	factor	factor	NOUN
ispiv-190	85	8	,	,	PUNCT
ispiv-190	85	9	a	a	DET
ispiv-190	85	10	large	large	ADJ
ispiv-190	85	11	number	number	NOUN
ispiv-190	85	12	of	of	ADP
ispiv-190	85	13	data	datum	NOUN
ispiv-190	85	14	points	point	NOUN
ispiv-190	85	15	can	can	AUX
ispiv-190	85	16	also	also	ADV
ispiv-190	85	17	lead	lead	VERB
ispiv-190	85	18	to	to	ADP
ispiv-190	85	19	numerical	numerical	ADJ
ispiv-190	85	20	instability	instability	NOUN
ispiv-190	85	21	.	.	PUNCT
ispiv-190	86	1	the	the	DET
ispiv-190	86	2	same	same	ADJ
ispiv-190	86	3	issue	issue	NOUN
ispiv-190	86	4	persists	persist	VERB
ispiv-190	86	5	for	for	ADP
ispiv-190	86	6	stable	stable	ADJ
ispiv-190	86	7	rbf	rbf	PROPN
ispiv-190	86	8	-	-	PUNCT
ispiv-190	86	9	based	base	VERB
ispiv-190	86	10	methods	method	NOUN
ispiv-190	86	11	.	.	PUNCT
ispiv-190	87	1	in	in	ADP
ispiv-190	87	2	addition	addition	NOUN
ispiv-190	87	3	,	,	PUNCT
ispiv-190	87	4	computing	compute	VERB
ispiv-190	87	5	a	a	DET
ispiv-190	87	6	large	large	ADJ
ispiv-190	87	7	number	number	NOUN
ispiv-190	87	8	of	of	ADP
ispiv-190	87	9	data	datum	NOUN
ispiv-190	87	10	points	point	NOUN
ispiv-190	87	11	in	in	ADP
ispiv-190	87	12	a	a	DET
ispiv-190	87	13	domain	domain	NOUN
ispiv-190	87	14	at	at	ADP
ispiv-190	87	15	once	once	ADV
ispiv-190	87	16	can	can	AUX
ispiv-190	87	17	be	be	AUX
ispiv-190	87	18	prohibitively	prohibitively	ADV
ispiv-190	87	19	expensive	expensive	ADJ
ispiv-190	87	20	.	.	PUNCT
ispiv-190	88	1	there	there	PRON
ispiv-190	88	2	are	be	VERB
ispiv-190	88	3	two	two	NUM
ispiv-190	88	4	popular	popular	ADJ
ispiv-190	88	5	strategies	strategy	NOUN
ispiv-190	88	6	to	to	PART
ispiv-190	88	7	overcome	overcome	VERB
ispiv-190	88	8	the	the	DET
ispiv-190	88	9	challenge	challenge	NOUN
ispiv-190	88	10	associated	associate	VERB
ispiv-190	88	11	with	with	ADP
ispiv-190	88	12	large	large	ADJ
ispiv-190	88	13	data	datum	NOUN
ispiv-190	88	14	:	:	PUNCT
ispiv-190	88	15	i	i	PRON
ispiv-190	88	16	)	)	PUNCT
ispiv-190	88	17	rbf	rbf	PROPN
ispiv-190	88	18	-	-	PUNCT
ispiv-190	88	19	generated	generate	VERB
ispiv-190	88	20	finite	finite	NOUN
ispiv-190	88	21	differences	difference	NOUN
ispiv-190	88	22	(	(	PUNCT
ispiv-190	88	23	fornberg	fornberg	PROPN
ispiv-190	88	24	and	and	CCONJ
ispiv-190	88	25	wright	wright	PROPN
ispiv-190	88	26	,	,	PUNCT
ispiv-190	88	27	2004	2004	NUM
ispiv-190	88	28	;	;	PUNCT
ispiv-190	88	29	wright	wright	PROPN
ispiv-190	88	30	and	and	CCONJ
ispiv-190	88	31	fornberg	fornberg	PROPN
ispiv-190	88	32	,	,	PUNCT
ispiv-190	88	33	2016	2016	NUM
ispiv-190	88	34	)	)	PUNCT
ispiv-190	88	35	,	,	PUNCT
ispiv-190	88	36	and	and	CCONJ
ispiv-190	88	37	ii	ii	X
ispiv-190	88	38	)	)	PUNCT
ispiv-190	88	39	the	the	DET
ispiv-190	88	40	partition	partition	NOUN
ispiv-190	88	41	of	of	ADP
ispiv-190	88	42	unity	unity	NOUN
ispiv-190	88	43	method	method	NOUN
ispiv-190	88	44	(	(	PUNCT
ispiv-190	88	45	pum	pum	PROPN
ispiv-190	88	46	)	)	PUNCT
ispiv-190	88	47	(	(	PUNCT
ispiv-190	88	48	larsson	larsson	PROPN
ispiv-190	88	49	et	et	PROPN
ispiv-190	88	50	al	al	PROPN
ispiv-190	88	51	.	.	PROPN
ispiv-190	88	52	,	,	PUNCT
ispiv-190	88	53	2013	2013	NUM
ispiv-190	88	54	)	)	PUNCT
ispiv-190	88	55	as	as	ADP
ispiv-190	88	56	a	a	DET
ispiv-190	88	57	localization	localization	NOUN
ispiv-190	88	58	approach	approach	NOUN
ispiv-190	88	59	.	.	PUNCT
ispiv-190	89	1	in	in	ADP
ispiv-190	89	2	the	the	DET
ispiv-190	89	3	current	current	ADJ
ispiv-190	89	4	work	work	NOUN
ispiv-190	89	5	,	,	PUNCT
ispiv-190	89	6	we	we	PRON
ispiv-190	89	7	use	use	VERB
ispiv-190	89	8	pum	pum	PROPN
ispiv-190	89	9	to	to	PART
ispiv-190	89	10	localize	localize	VERB
ispiv-190	89	11	the	the	DET
ispiv-190	89	12	rbf	rbf	PROPN
ispiv-190	89	13	-	-	PROPN
ispiv-190	89	14	qr	qr	PROPN
ispiv-190	89	15	to	to	PART
ispiv-190	89	16	handle	handle	VERB
ispiv-190	89	17	large	large	ADJ
ispiv-190	89	18	data	datum	NOUN
ispiv-190	89	19	.	.	PUNCT
ispiv-190	90	1	first	first	ADV
ispiv-190	90	2	,	,	PUNCT
ispiv-190	90	3	a	a	DET
ispiv-190	90	4	set	set	NOUN
ispiv-190	90	5	of	of	ADP
ispiv-190	90	6	overlapped	overlapped	ADJ
ispiv-190	90	7	sub	sub	NOUN
ispiv-190	90	8	-	-	NOUN
ispiv-190	90	9	domains	domain	NOUN
ispiv-190	90	10	(	(	PUNCT
ispiv-190	90	11	ω	ω	PROPN
ispiv-190	90	12	j	j	PROPN
ispiv-190	90	13	,	,	PUNCT
ispiv-190	90	14	j	j	PROPN
ispiv-190	90	15	=	=	SYM
ispiv-190	90	16	1	1	NUM
ispiv-190	90	17	,	,	PUNCT
ispiv-190	90	18	...	...	PUNCT
ispiv-190	90	19	,	,	PUNCT
ispiv-190	90	20	p	p	X
ispiv-190	90	21	,	,	PUNCT
ispiv-190	90	22	called	call	VERB
ispiv-190	90	23	pum	pum	PROPN
ispiv-190	90	24	patches	patch	NOUN
ispiv-190	90	25	)	)	PUNCT
ispiv-190	90	26	are	be	AUX
ispiv-190	90	27	constructed	construct	VERB
ispiv-190	90	28	to	to	PART
ispiv-190	90	29	cover	cover	VERB
ispiv-190	90	30	the	the	DET
ispiv-190	90	31	whole	whole	ADJ
ispiv-190	90	32	domain	domain	NOUN
ispiv-190	90	33	ω	ω	PROPN
ispiv-190	90	34	.	.	PUNCT
ispiv-190	90	35	figure	figure	NOUN
ispiv-190	90	36	1	1	NUM
ispiv-190	90	37	shows	show	VERB
ispiv-190	90	38	examples	example	NOUN
ispiv-190	90	39	where	where	SCONJ
ispiv-190	90	40	9	9	NUM
ispiv-190	90	41	circular	circular	ADJ
ispiv-190	90	42	and	and	CCONJ
ispiv-190	90	43	8	8	NUM
ispiv-190	90	44	spherical	spherical	ADJ
ispiv-190	90	45	pum	pum	PROPN
ispiv-190	90	46	patches	patch	NOUN
ispiv-190	90	47	cover	cover	VERB
ispiv-190	90	48	the	the	DET
ispiv-190	90	49	domain1	domain1	NOUN
ispiv-190	90	50	in	in	ADP
ispiv-190	90	51	2d	2d	NOUN
ispiv-190	90	52	and	and	CCONJ
ispiv-190	90	53	3d	3d	NUM
ispiv-190	90	54	,	,	PUNCT
ispiv-190	90	55	respectively	respectively	ADV
ispiv-190	90	56	.	.	PUNCT
ispiv-190	91	1	each	each	DET
ispiv-190	91	2	patch	patch	NOUN
ispiv-190	91	3	is	be	AUX
ispiv-190	91	4	then	then	ADV
ispiv-190	91	5	assigned	assign	VERB
ispiv-190	91	6	a	a	DET
ispiv-190	91	7	weight	weight	NOUN
ispiv-190	91	8	function	function	NOUN
ispiv-190	91	9	wj(xxx	wj(xxx	PROPN
ispiv-190	91	10	)	)	PUNCT
ispiv-190	91	11	so	so	SCONJ
ispiv-190	91	12	that	that	SCONJ
ispiv-190	91	13	i	i	PRON
ispiv-190	91	14	)	)	PUNCT
ispiv-190	91	15	for	for	ADP
ispiv-190	91	16	a	a	DET
ispiv-190	91	17	certain	certain	ADJ
ispiv-190	91	18	patch	patch	NOUN
ispiv-190	91	19	,	,	PUNCT
ispiv-190	91	20	the	the	DET
ispiv-190	91	21	weight	weight	NOUN
ispiv-190	91	22	function	function	NOUN
ispiv-190	91	23	outside	outside	ADP
ispiv-190	91	24	that	that	DET
ispiv-190	91	25	patch	patch	NOUN
ispiv-190	91	26	is	be	AUX
ispiv-190	91	27	zero	zero	NUM
ispiv-190	91	28	(	(	PUNCT
ispiv-190	91	29	i.e.	i.e.	X
ispiv-190	91	30	,	,	PUNCT
ispiv-190	91	31	wj(xxx	wj(xxx	PROPN
ispiv-190	91	32	)	)	PUNCT
ispiv-190	91	33	=	=	SYM
ispiv-190	91	34	0	0	NUM
ispiv-190	91	35	,	,	PUNCT
ispiv-190	91	36	for	for	ADP
ispiv-190	91	37	xxx	xxx	PROPN
ispiv-190	91	38	/∈	/∈	PUNCT
ispiv-190	92	1	ω	ω	NUM
ispiv-190	92	2	j	j	NOUN
ispiv-190	92	3	)	)	PUNCT
ispiv-190	92	4	,	,	PUNCT
ispiv-190	92	5	and	and	CCONJ
ispiv-190	92	6	ii	ii	X
ispiv-190	92	7	)	)	PUNCT
ispiv-190	92	8	the	the	DET
ispiv-190	92	9	summation	summation	NOUN
ispiv-190	92	10	of	of	ADP
ispiv-190	92	11	all	all	DET
ispiv-190	92	12	weight	weight	NOUN
ispiv-190	92	13	functions	function	NOUN
ispiv-190	92	14	from	from	ADP
ispiv-190	92	15	all	all	DET
ispiv-190	92	16	the	the	DET
ispiv-190	92	17	patches	patch	NOUN
ispiv-190	92	18	is	be	AUX
ispiv-190	92	19	unity	unity	NOUN
ispiv-190	92	20	at	at	ADP
ispiv-190	92	21	any	any	DET
ispiv-190	92	22	location	location	NOUN
ispiv-190	92	23	in	in	ADP
ispiv-190	92	24	the	the	DET
ispiv-190	92	25	domain	domain	NOUN
ispiv-190	92	26	(	(	PUNCT
ispiv-190	92	27	i.e.	i.e.	X
ispiv-190	92	28	,	,	PUNCT
ispiv-190	92	29	∑	∑	ADP
ispiv-190	92	30	p	p	PROPN
ispiv-190	92	31	j=1wj(xxx	j=1wj(xxx	PROPN
ispiv-190	92	32	)	)	PUNCT
ispiv-190	92	33	=	=	SYM
ispiv-190	93	1	1	1	NUM
ispiv-190	93	2	)	)	PUNCT
ispiv-190	93	3	.	.	PUNCT
ispiv-190	94	1	the	the	DET
ispiv-190	94	2	weights	weight	NOUN
ispiv-190	94	3	can	can	AUX
ispiv-190	94	4	be	be	AUX
ispiv-190	94	5	constructed	construct	VERB
ispiv-190	94	6	by	by	ADP
ispiv-190	94	7	applying	apply	VERB
ispiv-190	94	8	shepard	shepard	NOUN
ispiv-190	94	9	’s	’s	PART
ispiv-190	94	10	method	method	NOUN
ispiv-190	94	11	(	(	PUNCT
ispiv-190	94	12	shepard	shepard	NOUN
ispiv-190	94	13	,	,	PUNCT
ispiv-190	94	14	1968	1968	NUM
ispiv-190	94	15	):	):	PUNCT
ispiv-190	94	16	wj(xxx	wj(xxx	PROPN
ispiv-190	94	17	)	)	PUNCT
ispiv-190	94	18	=	=	SYM
ispiv-190	95	1	ψ	ψ	X
ispiv-190	95	2	j(xxx)/∑	j(xxx)/∑	NOUN
ispiv-190	95	3	p	p	X
ispiv-190	95	4	k=1	k=1	PROPN
ispiv-190	95	5	ψk(xxx	ψk(xxx	PROPN
ispiv-190	95	6	)	)	PUNCT
ispiv-190	95	7	,	,	PUNCT
ispiv-190	95	8	j	j	X
ispiv-190	95	9	=	=	SYM
ispiv-190	96	1	1,2,3	1,2,3	NUM
ispiv-190	96	2	...	...	PUNCT
ispiv-190	96	3	p	p	X
ispiv-190	96	4	,	,	PUNCT
ispiv-190	96	5	where	where	SCONJ
ispiv-190	96	6	ψ(xxx	ψ(xxx	NOUN
ispiv-190	96	7	)	)	PUNCT
ispiv-190	96	8	is	be	AUX
ispiv-190	96	9	a	a	DET
ispiv-190	96	10	compactly	compactly	ADV
ispiv-190	96	11	supported	support	VERB
ispiv-190	96	12	generating	generating	NOUN
ispiv-190	96	13	function	function	NOUN
ispiv-190	96	14	such	such	ADJ
ispiv-190	96	15	as	as	ADP
ispiv-190	96	16	the	the	DET
ispiv-190	96	17	wendland	wendland	NOUN
ispiv-190	96	18	c2	c2	PROPN
ispiv-190	96	19	function	function	VERB
ispiv-190	96	20	(	(	PUNCT
ispiv-190	96	21	wendland	wendland	ADV
ispiv-190	96	22	,	,	PUNCT
ispiv-190	96	23	1995	1995	NUM
ispiv-190	96	24	)	)	PUNCT
ispiv-190	96	25	.	.	PUNCT
ispiv-190	97	1	a	a	DET
ispiv-190	97	2	global	global	ADJ
ispiv-190	97	3	function	function	NOUN
ispiv-190	97	4	s(xxx	s(xxx	NOUN
ispiv-190	97	5	)	)	PUNCT
ispiv-190	97	6	on	on	ADP
ispiv-190	97	7	the	the	DET
ispiv-190	97	8	domain	domain	NOUN
ispiv-190	97	9	ω	ω	NOUN
ispiv-190	97	10	can	can	AUX
ispiv-190	97	11	then	then	ADV
ispiv-190	97	12	be	be	AUX
ispiv-190	97	13	assembled	assemble	VERB
ispiv-190	97	14	by	by	ADP
ispiv-190	97	15	a	a	DET
ispiv-190	97	16	weighted	weight	VERB
ispiv-190	97	17	summation	summation	NOUN
ispiv-190	97	18	of	of	ADP
ispiv-190	97	19	local	local	ADJ
ispiv-190	97	20	functions	function	NOUN
ispiv-190	97	21	on	on	ADP
ispiv-190	97	22	ω	ω	PROPN
ispiv-190	97	23	j	j	PROPN
ispiv-190	97	24	:	:	PUNCT
ispiv-190	97	25	s(xxx	s(xxx	NOUN
ispiv-190	97	26	)	)	PUNCT
ispiv-190	97	27	=	=	PUNCT
ispiv-190	98	1	∑	∑	PUNCT
ispiv-190	98	2	p	p	PROPN
ispiv-190	98	3	j=1wj(xxx)s	j=1wj(xxx)s	PROPN
ispiv-190	98	4	j(xxx	j(xxx	PROPN
ispiv-190	98	5	)	)	PUNCT
ispiv-190	98	6	.	.	PUNCT
ispiv-190	99	1	for	for	ADP
ispiv-190	99	2	example	example	NOUN
ispiv-190	99	3	,	,	PUNCT
ispiv-190	99	4	if	if	SCONJ
ispiv-190	99	5	s	s	NOUN
ispiv-190	99	6	j(xxx	j(xxx	NOUN
ispiv-190	99	7	)	)	PUNCT
ispiv-190	99	8	is	be	AUX
ispiv-190	99	9	a	a	DET
ispiv-190	99	10	spatial	spatial	ADJ
ispiv-190	99	11	gradient	gradient	NOUN
ispiv-190	99	12	of	of	ADP
ispiv-190	99	13	a	a	DET
ispiv-190	99	14	velocity	velocity	NOUN
ispiv-190	99	15	component	component	NOUN
ispiv-190	99	16	of	of	ADP
ispiv-190	99	17	a	a	DET
ispiv-190	99	18	flow	flow	NOUN
ispiv-190	99	19	,	,	PUNCT
ispiv-190	99	20	when	when	SCONJ
ispiv-190	99	21	s	s	X
ispiv-190	99	22	j(xxx	j(xxx	NOUN
ispiv-190	99	23	)	)	PUNCT
ispiv-190	99	24	is	be	AUX
ispiv-190	99	25	calculated	calculate	VERB
ispiv-190	99	26	using	use	VERB
ispiv-190	99	27	rbf	rbf	PROPN
ispiv-190	99	28	-	-	PROPN
ispiv-190	99	29	qr	qr	PROPN
ispiv-190	99	30	in	in	ADP
ispiv-190	99	31	every	every	DET
ispiv-190	99	32	patch	patch	NOUN
ispiv-190	99	33	,	,	PUNCT
ispiv-190	99	34	then	then	ADV
ispiv-190	99	35	a	a	DET
ispiv-190	99	36	localized	localized	ADJ
ispiv-190	99	37	stable	stable	ADJ
ispiv-190	99	38	rbf	rbf	PROPN
ispiv-190	99	39	that	that	PRON
ispiv-190	99	40	can	can	AUX
ispiv-190	99	41	handle	handle	VERB
ispiv-190	99	42	a	a	DET
ispiv-190	99	43	large	large	ADJ
ispiv-190	99	44	number	number	NOUN
ispiv-190	99	45	of	of	ADP
ispiv-190	99	46	data	datum	NOUN
ispiv-190	99	47	points	point	NOUN
ispiv-190	99	48	is	be	AUX
ispiv-190	99	49	achieved	achieve	VERB
ispiv-190	99	50	.	.	PUNCT
ispiv-190	100	1	in	in	ADP
ispiv-190	100	2	addition	addition	NOUN
ispiv-190	100	3	,	,	PUNCT
ispiv-190	100	4	combining	combine	VERB
ispiv-190	100	5	pum	pum	PROPN
ispiv-190	100	6	and	and	CCONJ
ispiv-190	100	7	rbf	rbf	PROPN
ispiv-190	100	8	-	-	PROPN
ispiv-190	100	9	qr	qr	PROPN
ispiv-190	100	10	also	also	ADV
ispiv-190	100	11	reduces	reduce	VERB
ispiv-190	100	12	computational	computational	ADJ
ispiv-190	100	13	cost	cost	NOUN
ispiv-190	100	14	and	and	CCONJ
ispiv-190	100	15	memory	memory	NOUN
ispiv-190	100	16	requirements	requirement	NOUN
ispiv-190	100	17	.	.	PUNCT
ispiv-190	101	1	example	example	NOUN
ispiv-190	101	2	implementations	implementation	NOUN
ispiv-190	101	3	of	of	ADP
ispiv-190	101	4	rbf	rbf	PROPN
ispiv-190	101	5	and	and	CCONJ
ispiv-190	101	6	pum	pum	PROPN
ispiv-190	101	7	can	can	AUX
ispiv-190	101	8	be	be	AUX
ispiv-190	101	9	found	find	VERB
ispiv-190	101	10	in	in	ADP
ispiv-190	101	11	,	,	PUNCT
ispiv-190	101	12	for	for	ADP
ispiv-190	101	13	example	example	NOUN
ispiv-190	101	14	,	,	PUNCT
ispiv-190	101	15	larsson	larsson	PROPN
ispiv-190	101	16	et	et	PROPN
ispiv-190	101	17	al	al	PROPN
ispiv-190	101	18	.	.	PROPN
ispiv-190	102	1	(	(	PUNCT
ispiv-190	102	2	2017	2017	NUM
ispiv-190	102	3	)	)	PUNCT
ispiv-190	102	4	.	.	PUNCT
ispiv-190	103	1	figure	figure	VERB
ispiv-190	103	2	1	1	NUM
ispiv-190	103	3	:	:	PUNCT
ispiv-190	103	4	example	example	NOUN
ispiv-190	103	5	pum	pum	PROPN
ispiv-190	103	6	patch	patch	PROPN
ispiv-190	103	7	layout	layout	PROPN
ispiv-190	103	8	in	in	ADP
ispiv-190	103	9	2d	2d	NUM
ispiv-190	103	10	,	,	PUNCT
ispiv-190	103	11	(	(	PUNCT
ispiv-190	103	12	a	a	X
ispiv-190	103	13	)	)	PUNCT
ispiv-190	103	14	and	and	CCONJ
ispiv-190	103	15	3d	3d	NUM
ispiv-190	103	16	,	,	PUNCT
ispiv-190	103	17	(	(	PUNCT
ispiv-190	103	18	b	b	NOUN
ispiv-190	103	19	)	)	PUNCT
ispiv-190	103	20	.	.	PUNCT
ispiv-190	104	1	the	the	DET
ispiv-190	104	2	grey	grey	PROPN
ispiv-190	104	3	lines	line	NOUN
ispiv-190	104	4	indicate	indicate	VERB
ispiv-190	104	5	the	the	DET
ispiv-190	104	6	edges	edge	NOUN
ispiv-190	104	7	of	of	ADP
ispiv-190	104	8	domain	domain	NOUN
ispiv-190	104	9	ω	ω	PROPN
ispiv-190	104	10	(	(	PUNCT
ispiv-190	104	11	square	square	ADJ
ispiv-190	104	12	for	for	ADP
ispiv-190	104	13	2d	2d	NOUN
ispiv-190	104	14	and	and	CCONJ
ispiv-190	104	15	cube	cube	NOUN
ispiv-190	104	16	for	for	ADP
ispiv-190	104	17	3d	3d	NUM
ispiv-190	104	18	)	)	PUNCT
ispiv-190	104	19	.	.	PUNCT
ispiv-190	105	1	circles	circle	NOUN
ispiv-190	105	2	and	and	CCONJ
ispiv-190	105	3	spheres	sphere	NOUN
ispiv-190	105	4	in	in	ADP
ispiv-190	105	5	transparent	transparent	ADJ
ispiv-190	105	6	light	light	ADJ
ispiv-190	105	7	blue	blue	NOUN
ispiv-190	105	8	are	be	AUX
ispiv-190	105	9	pum	pum	PROPN
ispiv-190	105	10	patches	patch	NOUN
ispiv-190	105	11	for	for	ADP
ispiv-190	105	12	2d	2d	NOUN
ispiv-190	105	13	and	and	CCONJ
ispiv-190	105	14	3d	3d	NUM
ispiv-190	105	15	,	,	PUNCT
ispiv-190	105	16	respectively	respectively	ADV
ispiv-190	105	17	,	,	PUNCT
ispiv-190	105	18	whose	whose	DET
ispiv-190	105	19	centers	center	NOUN
ispiv-190	105	20	are	be	AUX
ispiv-190	105	21	marked	mark	VERB
ispiv-190	105	22	by	by	ADP
ispiv-190	105	23	green	green	ADJ
ispiv-190	105	24	dots	dot	NOUN
ispiv-190	105	25	.	.	PUNCT
ispiv-190	106	1	reds	red	NOUN
ispiv-190	106	2	dots	dot	NOUN
ispiv-190	106	3	indicate	indicate	VERB
ispiv-190	106	4	the	the	DET
ispiv-190	106	5	locations	location	NOUN
ispiv-190	106	6	of	of	ADP
ispiv-190	106	7	scattered	scatter	VERB
ispiv-190	106	8	data	datum	NOUN
ispiv-190	106	9	points	point	NOUN
ispiv-190	106	10	in	in	ADP
ispiv-190	106	11	the	the	DET
ispiv-190	106	12	domain	domain	NOUN
ispiv-190	106	13	.	.	PUNCT
ispiv-190	107	1	1the	1the	ADJ
ispiv-190	107	2	domain	domain	NOUN
ispiv-190	107	3	ω	ω	NOUN
ispiv-190	107	4	does	do	AUX
ispiv-190	107	5	not	not	PART
ispiv-190	107	6	have	have	VERB
ispiv-190	107	7	to	to	PART
ispiv-190	107	8	be	be	AUX
ispiv-190	107	9	regular	regular	ADJ
ispiv-190	107	10	-	-	PUNCT
ispiv-190	107	11	shaped	shape	VERB
ispiv-190	107	12	boxes	box	NOUN
ispiv-190	107	13	,	,	PUNCT
ispiv-190	107	14	and	and	CCONJ
ispiv-190	107	15	the	the	DET
ispiv-190	107	16	pum	pum	PROPN
ispiv-190	107	17	patches	patch	NOUN
ispiv-190	107	18	do	do	AUX
ispiv-190	107	19	not	not	PART
ispiv-190	107	20	have	have	VERB
ispiv-190	107	21	to	to	PART
ispiv-190	107	22	be	be	AUX
ispiv-190	107	23	regular	regular	ADV
ispiv-190	107	24	-	-	PUNCT
ispiv-190	107	25	shaped	shape	VERB
ispiv-190	107	26	circles	circle	NOUN
ispiv-190	107	27	or	or	CCONJ
ispiv-190	107	28	spheres	sphere	NOUN
ispiv-190	107	29	.	.	PUNCT
ispiv-190	108	1	3	3	NUM
ispiv-190	108	2	pre	pre	ADJ
ispiv-190	108	3	-	-	ADJ
ispiv-190	108	4	processing	processing	ADJ
ispiv-190	108	5	:	:	PUNCT
ispiv-190	108	6	data	datum	NOUN
ispiv-190	108	7	layout	layout	NOUN
ispiv-190	108	8	enhancing	enhance	VERB
ispiv-190	108	9	and	and	CCONJ
ispiv-190	108	10	smoothing	smooth	VERB
ispiv-190	108	11	velocity	velocity	NOUN
ispiv-190	108	12	from	from	ADP
ispiv-190	108	13	a	a	DET
ispiv-190	108	14	real	real	ADJ
ispiv-190	108	15	experiment	experiment	NOUN
ispiv-190	108	16	is	be	AUX
ispiv-190	108	17	imperfect	imperfect	ADJ
ispiv-190	108	18	.	.	PUNCT
ispiv-190	109	1	in	in	ADP
ispiv-190	109	2	addition	addition	NOUN
ispiv-190	109	3	to	to	ADP
ispiv-190	109	4	contamination	contamination	NOUN
ispiv-190	109	5	due	due	ADP
ispiv-190	109	6	to	to	ADP
ispiv-190	109	7	measurement	measurement	NOUN
ispiv-190	109	8	noise	noise	NOUN
ispiv-190	109	9	,	,	PUNCT
ispiv-190	109	10	ptv	ptv	PROPN
ispiv-190	109	11	data	datum	NOUN
ispiv-190	109	12	may	may	AUX
ispiv-190	109	13	not	not	PART
ispiv-190	109	14	be	be	AUX
ispiv-190	109	15	well	well	ADV
ispiv-190	109	16	distributed	distribute	VERB
ispiv-190	109	17	.	.	PUNCT
ispiv-190	110	1	the	the	DET
ispiv-190	110	2	location	location	NOUN
ispiv-190	110	3	of	of	ADP
ispiv-190	110	4	single	single	ADJ
ispiv-190	110	5	tracer	tracer	NOUN
ispiv-190	110	6	particle	particle	NOUN
ispiv-190	110	7	can	can	AUX
ispiv-190	110	8	not	not	PART
ispiv-190	110	9	be	be	AUX
ispiv-190	110	10	controlled	control	VERB
ispiv-190	110	11	and	and	CCONJ
ispiv-190	110	12	local	local	ADJ
ispiv-190	110	13	seeding	seeding	NOUN
ispiv-190	110	14	density	density	NOUN
ispiv-190	110	15	may	may	AUX
ispiv-190	110	16	be	be	AUX
ispiv-190	110	17	too	too	ADV
ispiv-190	110	18	high	high	ADJ
ispiv-190	110	19	or	or	CCONJ
ispiv-190	110	20	too	too	ADV
ispiv-190	110	21	low	low	ADJ
ispiv-190	110	22	,	,	PUNCT
ispiv-190	110	23	which	which	PRON
ispiv-190	110	24	may	may	AUX
ispiv-190	110	25	lend	lend	VERB
ispiv-190	110	26	difficulties	difficulty	NOUN
ispiv-190	110	27	to	to	ADP
ispiv-190	110	28	rbf	rbf	PROPN
ispiv-190	110	29	-	-	PUNCT
ispiv-190	110	30	based	base	VERB
ispiv-190	110	31	gradient	gradient	ADJ
ispiv-190	110	32	computation	computation	NOUN
ispiv-190	110	33	.	.	PUNCT
ispiv-190	111	1	thus	thus	ADV
ispiv-190	111	2	,	,	PUNCT
ispiv-190	111	3	before	before	ADP
ispiv-190	111	4	data	data	NOUN
ispiv-190	111	5	processing	processing	NOUN
ispiv-190	111	6	,	,	PUNCT
ispiv-190	111	7	pre	pre	ADJ
ispiv-190	111	8	-	-	ADJ
ispiv-190	111	9	processing	processing	NOUN
ispiv-190	111	10	may	may	AUX
ispiv-190	111	11	be	be	AUX
ispiv-190	111	12	necessary	necessary	ADJ
ispiv-190	111	13	to	to	PART
ispiv-190	111	14	improve	improve	VERB
ispiv-190	111	15	the	the	DET
ispiv-190	111	16	data	datum	NOUN
ispiv-190	111	17	quality	quality	NOUN
ispiv-190	111	18	.	.	PUNCT
ispiv-190	112	1	in	in	ADP
ispiv-190	112	2	the	the	DET
ispiv-190	112	3	current	current	ADJ
ispiv-190	112	4	work	work	NOUN
ispiv-190	112	5	,	,	PUNCT
ispiv-190	112	6	we	we	PRON
ispiv-190	112	7	suggest	suggest	VERB
ispiv-190	112	8	a	a	DET
ispiv-190	112	9	two	two	NUM
ispiv-190	112	10	-	-	PUNCT
ispiv-190	112	11	stage	stage	NOUN
ispiv-190	112	12	pre	pre	ADJ
ispiv-190	112	13	-	-	NOUN
ispiv-190	112	14	processing	processing	NOUN
ispiv-190	112	15	including	include	VERB
ispiv-190	112	16	i	i	PROPN
ispiv-190	112	17	)	)	PUNCT
ispiv-190	112	18	data	datum	NOUN
ispiv-190	112	19	layout	layout	NOUN
ispiv-190	112	20	enhancement	enhancement	NOUN
ispiv-190	112	21	and	and	CCONJ
ispiv-190	112	22	ii	ii	NOUN
ispiv-190	112	23	)	)	PUNCT
ispiv-190	112	24	smoothing	smooth	VERB
ispiv-190	112	25	before	before	ADP
ispiv-190	112	26	processing	process	VERB
ispiv-190	112	27	experimental	experimental	ADJ
ispiv-190	112	28	data	datum	NOUN
ispiv-190	112	29	.	.	PUNCT
ispiv-190	113	1	a	a	DET
ispiv-190	113	2	mesh	mesh	NOUN
ispiv-190	113	3	-	-	PUNCT
ispiv-190	113	4	free	free	ADJ
ispiv-190	113	5	method	method	NOUN
ispiv-190	113	6	(	(	PUNCT
ispiv-190	113	7	including	include	VERB
ispiv-190	113	8	rbfs	rbfs	NOUN
ispiv-190	113	9	)	)	PUNCT
ispiv-190	113	10	in	in	ADP
ispiv-190	113	11	general	general	ADJ
ispiv-190	113	12	performs	perform	VERB
ispiv-190	113	13	better	well	ADV
ispiv-190	113	14	on	on	ADP
ispiv-190	113	15	quasi	quasi	ADJ
ispiv-190	113	16	-	-	ADJ
ispiv-190	113	17	uniformly	uniformly	ADV
ispiv-190	113	18	distributed	distribute	VERB
ispiv-190	113	19	data	datum	NOUN
ispiv-190	113	20	(	(	PUNCT
ispiv-190	113	21	fasshauer	fasshauer	NOUN
ispiv-190	113	22	,	,	PUNCT
ispiv-190	113	23	2007	2007	NUM
ispiv-190	113	24	)	)	PUNCT
ispiv-190	113	25	.	.	PUNCT
ispiv-190	114	1	although	although	SCONJ
ispiv-190	114	2	rbfs	rbfs	NOUN
ispiv-190	114	3	can	can	AUX
ispiv-190	114	4	in	in	ADP
ispiv-190	114	5	principle	principle	ADJ
ispiv-190	114	6	evaluate	evaluate	NOUN
ispiv-190	114	7	gradients	gradient	NOUN
ispiv-190	114	8	on	on	ADP
ispiv-190	114	9	arbitrarily	arbitrarily	ADV
ispiv-190	114	10	scattered	scatter	VERB
ispiv-190	114	11	data	datum	NOUN
ispiv-190	114	12	,	,	PUNCT
ispiv-190	114	13	randomly	randomly	ADV
ispiv-190	114	14	distributed	distribute	VERB
ispiv-190	114	15	data	datum	NOUN
ispiv-190	114	16	can	can	AUX
ispiv-190	114	17	lead	lead	VERB
ispiv-190	114	18	to	to	ADP
ispiv-190	114	19	results	result	NOUN
ispiv-190	114	20	with	with	ADP
ispiv-190	114	21	low	low	ADJ
ispiv-190	114	22	accuracy	accuracy	NOUN
ispiv-190	114	23	.	.	PUNCT
ispiv-190	115	1	this	this	DET
ispiv-190	115	2	challenge	challenge	NOUN
ispiv-190	115	3	arises	arise	VERB
ispiv-190	115	4	from	from	ADP
ispiv-190	115	5	the	the	DET
ispiv-190	115	6	‘	'	PUNCT
ispiv-190	115	7	conflicting	conflicting	ADJ
ispiv-190	115	8	’	'	PUNCT
ispiv-190	115	9	nature	nature	NOUN
ispiv-190	115	10	of	of	ADP
ispiv-190	115	11	ptv	ptv	PROPN
ispiv-190	115	12	experiments	experiment	NOUN
ispiv-190	115	13	and	and	CCONJ
ispiv-190	115	14	mesh	mesh	NOUN
ispiv-190	115	15	-	-	PUNCT
ispiv-190	115	16	free	free	ADJ
ispiv-190	115	17	numerical	numerical	ADJ
ispiv-190	115	18	methods	method	NOUN
ispiv-190	115	19	.	.	PUNCT
ispiv-190	116	1	we	we	PRON
ispiv-190	116	2	here	here	ADV
ispiv-190	116	3	use	use	VERB
ispiv-190	116	4	a	a	DET
ispiv-190	116	5	simple	simple	ADJ
ispiv-190	116	6	example	example	NOUN
ispiv-190	116	7	to	to	PART
ispiv-190	116	8	demonstrate	demonstrate	VERB
ispiv-190	116	9	this	this	DET
ispiv-190	116	10	particular	particular	ADJ
ispiv-190	116	11	issue	issue	NOUN
ispiv-190	116	12	.	.	PUNCT
ispiv-190	117	1	we	we	PRON
ispiv-190	117	2	use	use	VERB
ispiv-190	117	3	rbf	rbf	PROPN
ispiv-190	117	4	-	-	PROPN
ispiv-190	117	5	qr	qr	PROPN
ispiv-190	117	6	with	with	ADP
ispiv-190	117	7	pum	pum	PRON
ispiv-190	117	8	to	to	PART
ispiv-190	117	9	directly	directly	ADV
ispiv-190	117	10	calculate	calculate	VERB
ispiv-190	117	11	velocity	velocity	NOUN
ispiv-190	117	12	gradient	gradient	NOUN
ispiv-190	117	13	(	(	PUNCT
ispiv-190	117	14	∂u/∂x	∂u/∂x	PROPN
ispiv-190	117	15	)	)	PUNCT
ispiv-190	117	16	in	in	ADP
ispiv-190	117	17	a	a	DET
ispiv-190	117	18	2d	2d	NUM
ispiv-190	117	19	domain	domain	NOUN
ispiv-190	117	20	based	base	VERB
ispiv-190	117	21	on	on	ADP
ispiv-190	117	22	simulated	simulated	ADJ
ispiv-190	117	23	ptv	ptv	PROPN
ispiv-190	117	24	data	datum	NOUN
ispiv-190	117	25	(	(	PUNCT
ispiv-190	117	26	see	see	VERB
ispiv-190	117	27	§	§	PROPN
ispiv-190	117	28	5	5	NUM
ispiv-190	117	29	and	and	CCONJ
ispiv-190	117	30	fig	fig	NOUN
ispiv-190	117	31	.	.	PUNCT
ispiv-190	117	32	3	3	NUM
ispiv-190	117	33	for	for	ADP
ispiv-190	117	34	more	more	ADJ
ispiv-190	117	35	details	detail	NOUN
ispiv-190	117	36	about	about	ADP
ispiv-190	117	37	the	the	DET
ispiv-190	117	38	simulated	simulate	VERB
ispiv-190	117	39	data	datum	NOUN
ispiv-190	117	40	and	and	CCONJ
ispiv-190	117	41	the	the	DET
ispiv-190	117	42	flow	flow	NOUN
ispiv-190	117	43	field	field	NOUN
ispiv-190	117	44	)	)	PUNCT
ispiv-190	117	45	.	.	PUNCT
ispiv-190	118	1	here	here	ADV
ispiv-190	118	2	,	,	PUNCT
ispiv-190	118	3	1×104	1×104	PROPN
ispiv-190	118	4	virtual	virtual	ADJ
ispiv-190	118	5	tracing	trace	VERB
ispiv-190	118	6	particles	particle	NOUN
ispiv-190	118	7	are	be	AUX
ispiv-190	118	8	injected	inject	VERB
ispiv-190	118	9	in	in	ADP
ispiv-190	118	10	the	the	DET
ispiv-190	118	11	domain	domain	NOUN
ispiv-190	118	12	so	so	SCONJ
ispiv-190	118	13	that	that	SCONJ
ispiv-190	118	14	they	they	PRON
ispiv-190	118	15	are	be	AUX
ispiv-190	118	16	either	either	ADV
ispiv-190	118	17	randomly	randomly	ADV
ispiv-190	118	18	distributed	distribute	VERB
ispiv-190	118	19	(	(	PUNCT
ispiv-190	118	20	coordinates	coordinate	NOUN
ispiv-190	118	21	of	of	ADP
ispiv-190	118	22	particle	particle	NOUN
ispiv-190	118	23	locations	location	NOUN
ispiv-190	118	24	are	be	AUX
ispiv-190	118	25	generated	generate	VERB
ispiv-190	118	26	using	use	VERB
ispiv-190	118	27	random	random	ADJ
ispiv-190	118	28	numbers	number	NOUN
ispiv-190	118	29	with	with	ADP
ispiv-190	118	30	uniform	uniform	ADJ
ispiv-190	118	31	distribution	distribution	NOUN
ispiv-190	118	32	)	)	PUNCT
ispiv-190	118	33	or	or	CCONJ
ispiv-190	118	34	have	have	VERB
ispiv-190	118	35	a	a	DET
ispiv-190	118	36	much	much	ADV
ispiv-190	118	37	more	more	ADV
ispiv-190	118	38	uniformly	uniformly	ADV
ispiv-190	118	39	distributed	distribute	VERB
ispiv-190	118	40	particle	particle	NOUN
ispiv-190	118	41	layout	layout	NOUN
ispiv-190	118	42	(	(	PUNCT
ispiv-190	118	43	particle	particle	NOUN
ispiv-190	118	44	locations	location	NOUN
ispiv-190	118	45	are	be	AUX
ispiv-190	118	46	generated	generate	VERB
ispiv-190	118	47	using	use	VERB
ispiv-190	118	48	a	a	DET
ispiv-190	118	49	halton	halton	NOUN
ispiv-190	118	50	sequence	sequence	NOUN
ispiv-190	118	51	)	)	PUNCT
ispiv-190	118	52	.	.	PUNCT
ispiv-190	119	1	we	we	PRON
ispiv-190	119	2	want	want	VERB
ispiv-190	119	3	to	to	PART
ispiv-190	119	4	emphasize	emphasize	VERB
ispiv-190	119	5	that	that	SCONJ
ispiv-190	119	6	the	the	DET
ispiv-190	119	7	particle	particle	NOUN
ispiv-190	119	8	layout	layout	NOUN
ispiv-190	119	9	generated	generate	VERB
ispiv-190	119	10	from	from	ADP
ispiv-190	119	11	random	random	ADJ
ispiv-190	119	12	numbers	number	NOUN
ispiv-190	119	13	with	with	ADP
ispiv-190	119	14	uniform	uniform	ADJ
ispiv-190	119	15	distribution	distribution	NOUN
ispiv-190	119	16	is	be	AUX
ispiv-190	119	17	not	not	PART
ispiv-190	119	18	quasi	quasi	ADJ
ispiv-190	119	19	-	-	NOUN
ispiv-190	119	20	uniform	uniform	ADJ
ispiv-190	119	21	.	.	PUNCT
ispiv-190	120	1	uniform	uniform	ADJ
ispiv-190	120	2	distribution	distribution	NOUN
ispiv-190	120	3	generated	generate	VERB
ispiv-190	120	4	random	random	ADJ
ispiv-190	120	5	particles	particle	NOUN
ispiv-190	120	6	,	,	PUNCT
ispiv-190	120	7	similar	similar	ADJ
ispiv-190	120	8	to	to	ADP
ispiv-190	120	9	the	the	DET
ispiv-190	120	10	particle	particle	NOUN
ispiv-190	120	11	distribution	distribution	NOUN
ispiv-190	120	12	in	in	ADP
ispiv-190	120	13	a	a	DET
ispiv-190	120	14	well	well	ADV
ispiv-190	120	15	-	-	PUNCT
ispiv-190	120	16	seeded	seed	VERB
ispiv-190	120	17	ptv	ptv	NOUN
ispiv-190	120	18	experiment	experiment	NOUN
ispiv-190	120	19	,	,	PUNCT
ispiv-190	120	20	have	have	VERB
ispiv-190	120	21	high	high	ADJ
ispiv-190	120	22	randomness	randomness	NOUN
ispiv-190	120	23	in	in	ADP
ispiv-190	120	24	particle	particle	NOUN
ispiv-190	120	25	location	location	NOUN
ispiv-190	120	26	leading	lead	VERB
ispiv-190	120	27	to	to	ADP
ispiv-190	120	28	excessive	excessive	ADJ
ispiv-190	120	29	local	local	ADJ
ispiv-190	120	30	sparse	sparse	ADJ
ispiv-190	120	31	or	or	CCONJ
ispiv-190	120	32	dense	dense	ADJ
ispiv-190	120	33	particle	particle	NOUN
ispiv-190	120	34	layout	layout	NOUN
ispiv-190	120	35	.	.	PUNCT
ispiv-190	121	1	the	the	DET
ispiv-190	121	2	relative	relative	ADJ
ispiv-190	121	3	errors	error	NOUN
ispiv-190	121	4	of	of	ADP
ispiv-190	121	5	the	the	DET
ispiv-190	121	6	gradient	gradient	ADJ
ispiv-190	121	7	calculation	calculation	NOUN
ispiv-190	121	8	on	on	ADP
ispiv-190	121	9	the	the	DET
ispiv-190	121	10	velocity	velocity	NOUN
ispiv-190	121	11	data	datum	NOUN
ispiv-190	121	12	contaminated	contaminate	VERB
ispiv-190	121	13	by	by	ADP
ispiv-190	121	14	small	small	ADJ
ispiv-190	121	15	noise	noise	NOUN
ispiv-190	121	16	(	(	PUNCT
ispiv-190	121	17	zero	zero	NUM
ispiv-190	121	18	mean	mean	NOUN
ispiv-190	121	19	gaussian	gaussian	NOUN
ispiv-190	121	20	noise	noise	NOUN
ispiv-190	121	21	with	with	ADP
ispiv-190	121	22	a	a	DET
ispiv-190	121	23	standard	standard	ADJ
ispiv-190	121	24	deviation	deviation	NOUN
ispiv-190	121	25	of	of	ADP
ispiv-190	121	26	1	1	NUM
ispiv-190	121	27	%	%	NOUN
ispiv-190	121	28	of	of	ADP
ispiv-190	121	29	maximum	maximum	ADJ
ispiv-190	121	30	corresponding	corresponding	ADJ
ispiv-190	121	31	velocity	velocity	NOUN
ispiv-190	121	32	component	component	NOUN
ispiv-190	121	33	)	)	PUNCT
ispiv-190	121	34	on	on	ADP
ispiv-190	121	35	each	each	DET
ispiv-190	121	36	data	datum	NOUN
ispiv-190	121	37	layout	layout	NOUN
ispiv-190	121	38	are	be	AUX
ispiv-190	121	39	examined	examine	VERB
ispiv-190	121	40	.	.	PUNCT
ispiv-190	122	1	figure	figure	NOUN
ispiv-190	122	2	2	2	NUM
ispiv-190	122	3	shows	show	VERB
ispiv-190	122	4	the	the	DET
ispiv-190	122	5	relative	relative	ADJ
ispiv-190	122	6	error	error	NOUN
ispiv-190	122	7	(	(	PUNCT
ispiv-190	122	8	e	e	NOUN
ispiv-190	122	9	,	,	PUNCT
ispiv-190	122	10	defined	define	VERB
ispiv-190	122	11	by	by	ADP
ispiv-190	122	12	eq	eq	PROPN
ispiv-190	122	13	.	.	PUNCT
ispiv-190	123	1	(	(	PUNCT
ispiv-190	123	2	2	2	NUM
ispiv-190	123	3	)	)	PUNCT
ispiv-190	123	4	)	)	PUNCT
ispiv-190	123	5	in	in	ADP
ispiv-190	123	6	the	the	DET
ispiv-190	123	7	calculated	calculate	VERB
ispiv-190	123	8	velocity	velocity	NOUN
ispiv-190	123	9	gradient	gradient	NOUN
ispiv-190	123	10	against	against	ADP
ispiv-190	123	11	the	the	DET
ispiv-190	123	12	distance	distance	NOUN
ispiv-190	123	13	of	of	ADP
ispiv-190	123	14	every	every	DET
ispiv-190	123	15	two	two	NUM
ispiv-190	123	16	neighboring	neighboring	NOUN
ispiv-190	123	17	particles	particle	NOUN
ispiv-190	123	18	(	(	PUNCT
ispiv-190	123	19	dn	dn	NOUN
ispiv-190	123	20	)	)	PUNCT
ispiv-190	123	21	.	.	PUNCT
ispiv-190	124	1	figure	figure	VERB
ispiv-190	124	2	2	2	NUM
ispiv-190	124	3	:	:	PUNCT
ispiv-190	124	4	relative	relative	ADJ
ispiv-190	124	5	error	error	NOUN
ispiv-190	124	6	(	(	PUNCT
ispiv-190	124	7	e	e	NOUN
ispiv-190	124	8	)	)	PUNCT
ispiv-190	124	9	of	of	ADP
ispiv-190	124	10	the	the	DET
ispiv-190	124	11	computed	computed	ADJ
ispiv-190	124	12	gradient	gradient	NOUN
ispiv-190	124	13	(	(	PUNCT
ispiv-190	124	14	∂u/∂x	∂u/∂x	PROPN
ispiv-190	124	15	)	)	PUNCT
ispiv-190	124	16	on	on	ADP
ispiv-190	124	17	each	each	DET
ispiv-190	124	18	data	datum	NOUN
ispiv-190	124	19	point	point	NOUN
ispiv-190	124	20	vs.	vs.	ADP
ispiv-190	124	21	distance	distance	NOUN
ispiv-190	124	22	of	of	ADP
ispiv-190	124	23	two	two	NUM
ispiv-190	124	24	neighboring	neighboring	NOUN
ispiv-190	124	25	data	data	NOUN
ispiv-190	124	26	points	point	NOUN
ispiv-190	124	27	(	(	PUNCT
ispiv-190	124	28	dn	dn	NOUN
ispiv-190	124	29	)	)	PUNCT
ispiv-190	124	30	,	,	PUNCT
ispiv-190	124	31	on	on	ADP
ispiv-190	124	32	random	random	ADJ
ispiv-190	124	33	(	(	PUNCT
ispiv-190	124	34	a	a	NOUN
ispiv-190	124	35	)	)	PUNCT
ispiv-190	124	36	and	and	CCONJ
ispiv-190	124	37	halton	halton	PROPN
ispiv-190	124	38	points	point	NOUN
ispiv-190	124	39	(	(	PUNCT
ispiv-190	124	40	b	b	NOUN
ispiv-190	124	41	)	)	PUNCT
ispiv-190	124	42	.	.	PUNCT
ispiv-190	125	1	the	the	DET
ispiv-190	125	2	light	light	ADJ
ispiv-190	125	3	red	red	ADJ
ispiv-190	125	4	and	and	CCONJ
ispiv-190	125	5	blue	blue	ADJ
ispiv-190	125	6	point	point	NOUN
ispiv-190	125	7	clouds	cloud	NOUN
ispiv-190	125	8	indicate	indicate	VERB
ispiv-190	125	9	the	the	DET
ispiv-190	125	10	relative	relative	ADJ
ispiv-190	125	11	error	error	NOUN
ispiv-190	125	12	in	in	ADP
ispiv-190	125	13	the	the	DET
ispiv-190	125	14	computed	computed	ADJ
ispiv-190	125	15	gradient	gradient	NOUN
ispiv-190	125	16	at	at	ADP
ispiv-190	125	17	each	each	DET
ispiv-190	125	18	simulated	simulate	VERB
ispiv-190	125	19	ptv	ptv	NOUN
ispiv-190	125	20	particles	particle	NOUN
ispiv-190	125	21	with	with	ADP
ispiv-190	125	22	and	and	CCONJ
ispiv-190	125	23	without	without	ADP
ispiv-190	125	24	artificial	artificial	ADJ
ispiv-190	125	25	noise	noise	NOUN
ispiv-190	125	26	,	,	PUNCT
ispiv-190	125	27	respectively	respectively	ADV
ispiv-190	125	28	.	.	PUNCT
ispiv-190	126	1	the	the	DET
ispiv-190	126	2	overlaid	overlay	VERB
ispiv-190	126	3	crosses	crosse	NOUN
ispiv-190	126	4	with	with	ADP
ispiv-190	126	5	darker	dark	ADJ
ispiv-190	126	6	colors	color	NOUN
ispiv-190	126	7	summarize	summarize	VERB
ispiv-190	126	8	the	the	DET
ispiv-190	126	9	trend	trend	NOUN
ispiv-190	126	10	of	of	ADP
ispiv-190	126	11	point	point	NOUN
ispiv-190	126	12	clouds	cloud	NOUN
ispiv-190	126	13	in	in	ADP
ispiv-190	126	14	groups	group	NOUN
ispiv-190	126	15	.	.	PUNCT
ispiv-190	127	1	the	the	DET
ispiv-190	127	2	left	left	ADJ
ispiv-190	127	3	and	and	CCONJ
ispiv-190	127	4	right	right	ADJ
ispiv-190	127	5	end	end	NOUN
ispiv-190	127	6	of	of	ADP
ispiv-190	127	7	a	a	DET
ispiv-190	127	8	horizontal	horizontal	ADJ
ispiv-190	127	9	bar	bar	NOUN
ispiv-190	127	10	represents	represent	VERB
ispiv-190	127	11	±1	±1	VERB
ispiv-190	127	12	standard	standard	ADJ
ispiv-190	127	13	deviation	deviation	NOUN
ispiv-190	127	14	band	band	NOUN
ispiv-190	127	15	of	of	ADP
ispiv-190	127	16	log10(dn	log10(dn	NUM
ispiv-190	127	17	)	)	PUNCT
ispiv-190	127	18	for	for	ADP
ispiv-190	127	19	a	a	DET
ispiv-190	127	20	group	group	NOUN
ispiv-190	127	21	of	of	ADP
ispiv-190	127	22	data	datum	NOUN
ispiv-190	127	23	,	,	PUNCT
ispiv-190	127	24	and	and	CCONJ
ispiv-190	127	25	the	the	DET
ispiv-190	127	26	vertical	vertical	ADJ
ispiv-190	127	27	bar	bar	NOUN
ispiv-190	127	28	represents	represent	VERB
ispiv-190	127	29	the	the	DET
ispiv-190	127	30	±1	±1	ADJ
ispiv-190	127	31	standard	standard	ADJ
ispiv-190	127	32	deviation	deviation	NOUN
ispiv-190	127	33	band	band	NOUN
ispiv-190	127	34	of	of	ADP
ispiv-190	127	35	log10(e	log10(e	PROPN
ispiv-190	127	36	)	)	PUNCT
ispiv-190	127	37	for	for	ADP
ispiv-190	127	38	the	the	DET
ispiv-190	127	39	same	same	ADJ
ispiv-190	127	40	group	group	NOUN
ispiv-190	127	41	of	of	ADP
ispiv-190	127	42	data	data	PROPN
ispiv-190	127	43	.	.	PUNCT
ispiv-190	128	1	the	the	DET
ispiv-190	128	2	intersection	intersection	NOUN
ispiv-190	128	3	of	of	ADP
ispiv-190	128	4	vertical	vertical	ADJ
ispiv-190	128	5	and	and	CCONJ
ispiv-190	128	6	horizontal	horizontal	ADJ
ispiv-190	128	7	bars	bar	NOUN
ispiv-190	128	8	indicates	indicate	VERB
ispiv-190	128	9	the	the	DET
ispiv-190	128	10	mean	mean	NOUN
ispiv-190	128	11	of	of	ADP
ispiv-190	128	12	the	the	DET
ispiv-190	128	13	error	error	NOUN
ispiv-190	128	14	for	for	ADP
ispiv-190	128	15	the	the	DET
ispiv-190	128	16	group	group	NOUN
ispiv-190	128	17	of	of	ADP
ispiv-190	128	18	the	the	DET
ispiv-190	128	19	data	datum	NOUN
ispiv-190	128	20	.	.	PUNCT
ispiv-190	129	1	the	the	DET
ispiv-190	129	2	results	result	NOUN
ispiv-190	129	3	show	show	VERB
ispiv-190	129	4	that	that	SCONJ
ispiv-190	129	5	the	the	DET
ispiv-190	129	6	gradient	gradient	ADJ
ispiv-190	129	7	calculation	calculation	NOUN
ispiv-190	129	8	based	base	VERB
ispiv-190	129	9	on	on	ADP
ispiv-190	129	10	randomly	randomly	ADV
ispiv-190	129	11	distributed	distribute	VERB
ispiv-190	129	12	particles	particle	NOUN
ispiv-190	129	13	(	(	PUNCT
ispiv-190	129	14	figure	figure	NOUN
ispiv-190	129	15	2(a	2(a	NUM
ispiv-190	129	16	)	)	PUNCT
ispiv-190	129	17	)	)	PUNCT
ispiv-190	129	18	,	,	PUNCT
ispiv-190	129	19	which	which	PRON
ispiv-190	129	20	is	be	AUX
ispiv-190	129	21	close	close	ADJ
ispiv-190	129	22	to	to	ADP
ispiv-190	129	23	the	the	DET
ispiv-190	129	24	particle	particle	NOUN
ispiv-190	129	25	distribution	distribution	NOUN
ispiv-190	129	26	of	of	ADP
ispiv-190	129	27	real	real	ADJ
ispiv-190	129	28	ptv	ptv	PROPN
ispiv-190	129	29	data	datum	NOUN
ispiv-190	129	30	,	,	PUNCT
ispiv-190	129	31	in	in	ADP
ispiv-190	129	32	general	general	ADJ
ispiv-190	129	33	has	have	VERB
ispiv-190	129	34	higher	high	ADJ
ispiv-190	129	35	error	error	NOUN
ispiv-190	129	36	than	than	ADP
ispiv-190	129	37	that	that	PRON
ispiv-190	129	38	based	base	VERB
ispiv-190	129	39	on	on	ADP
ispiv-190	129	40	a	a	DET
ispiv-190	129	41	halton	halton	PROPN
ispiv-190	129	42	particle	particle	NOUN
ispiv-190	129	43	distribution	distribution	NOUN
ispiv-190	129	44	(	(	PUNCT
ispiv-190	129	45	figure	figure	NOUN
ispiv-190	129	46	2(b	2(b	NUM
ispiv-190	129	47	)	)	PUNCT
ispiv-190	129	48	)	)	PUNCT
ispiv-190	129	49	.	.	PUNCT
ispiv-190	130	1	as	as	SCONJ
ispiv-190	130	2	shown	show	VERB
ispiv-190	130	3	in	in	ADP
ispiv-190	130	4	fig	fig	NOUN
ispiv-190	130	5	.	.	PUNCT
ispiv-190	131	1	2(a	2(a	NUM
ispiv-190	131	2	)	)	PUNCT
ispiv-190	131	3	,	,	PUNCT
ispiv-190	131	4	when	when	SCONJ
ispiv-190	131	5	dn	dn	PROPN
ispiv-190	131	6	is	be	AUX
ispiv-190	131	7	too	too	ADV
ispiv-190	131	8	large	large	ADJ
ispiv-190	131	9	,	,	PUNCT
ispiv-190	131	10	too	too	ADV
ispiv-190	131	11	sparse	sparse	ADJ
ispiv-190	131	12	data	datum	NOUN
ispiv-190	131	13	can	can	AUX
ispiv-190	131	14	not	not	PART
ispiv-190	131	15	resolve	resolve	VERB
ispiv-190	131	16	the	the	DET
ispiv-190	131	17	fine	fine	ADJ
ispiv-190	131	18	flow	flow	NOUN
ispiv-190	131	19	structures	structure	NOUN
ispiv-190	131	20	and	and	CCONJ
ispiv-190	131	21	lead	lead	VERB
ispiv-190	131	22	to	to	ADP
ispiv-190	131	23	high	high	ADJ
ispiv-190	131	24	error	error	NOUN
ispiv-190	131	25	,	,	PUNCT
ispiv-190	131	26	which	which	PRON
ispiv-190	131	27	is	be	AUX
ispiv-190	131	28	intuitive	intuitive	ADJ
ispiv-190	131	29	.	.	PUNCT
ispiv-190	132	1	when	when	SCONJ
ispiv-190	132	2	dn	dn	PROPN
ispiv-190	132	3	is	be	AUX
ispiv-190	132	4	too	too	ADV
ispiv-190	132	5	small	small	ADJ
ispiv-190	132	6	(	(	PUNCT
ispiv-190	132	7	implying	imply	VERB
ispiv-190	132	8	that	that	SCONJ
ispiv-190	132	9	high	high	ADJ
ispiv-190	132	10	local	local	ADJ
ispiv-190	132	11	particle	particle	NOUN
ispiv-190	132	12	density	density	NOUN
ispiv-190	132	13	)	)	PUNCT
ispiv-190	132	14	,	,	PUNCT
ispiv-190	132	15	elevated	elevate	VERB
ispiv-190	132	16	error	error	NOUN
ispiv-190	132	17	also	also	ADV
ispiv-190	132	18	results	result	VERB
ispiv-190	132	19	.	.	PUNCT
ispiv-190	133	1	this	this	PRON
ispiv-190	133	2	is	be	AUX
ispiv-190	133	3	due	due	ADJ
ispiv-190	133	4	to	to	ADP
ispiv-190	133	5	low	low	ADJ
ispiv-190	133	6	uniformity	uniformity	NOUN
ispiv-190	133	7	of	of	ADP
ispiv-190	133	8	the	the	DET
ispiv-190	133	9	particle	particle	NOUN
ispiv-190	133	10	layout	layout	NOUN
ispiv-190	133	11	,	,	PUNCT
ispiv-190	133	12	which	which	PRON
ispiv-190	133	13	is	be	AUX
ispiv-190	133	14	unfriendly	unfriendly	ADJ
ispiv-190	133	15	to	to	ADP
ispiv-190	133	16	the	the	DET
ispiv-190	133	17	rbfs	rbfs	NOUN
ispiv-190	133	18	.	.	PUNCT
ispiv-190	134	1	this	this	DET
ispiv-190	134	2	observation	observation	NOUN
ispiv-190	134	3	may	may	AUX
ispiv-190	134	4	not	not	PART
ispiv-190	134	5	be	be	AUX
ispiv-190	134	6	surprising	surprising	ADJ
ispiv-190	134	7	either	either	ADV
ispiv-190	134	8	.	.	PUNCT
ispiv-190	135	1	it	it	PRON
ispiv-190	135	2	resembles	resemble	VERB
ispiv-190	135	3	a	a	DET
ispiv-190	135	4	low	low	ADJ
ispiv-190	135	5	quality	quality	NOUN
ispiv-190	135	6	mesh	mesh	NOUN
ispiv-190	135	7	,	,	PUNCT
ispiv-190	135	8	in	in	ADP
ispiv-190	135	9	the	the	DET
ispiv-190	135	10	context	context	NOUN
ispiv-190	135	11	of	of	ADP
ispiv-190	135	12	finite	finite	ADJ
ispiv-190	135	13	element	element	NOUN
ispiv-190	135	14	analysis	analysis	NOUN
ispiv-190	135	15	,	,	PUNCT
ispiv-190	135	16	caused	cause	VERB
ispiv-190	135	17	by	by	ADP
ispiv-190	135	18	neighboring	neighbor	VERB
ispiv-190	135	19	nodal	nodal	NOUN
ispiv-190	135	20	points	point	NOUN
ispiv-190	135	21	that	that	PRON
ispiv-190	135	22	are	be	AUX
ispiv-190	135	23	too	too	ADV
ispiv-190	135	24	close	close	ADJ
ispiv-190	135	25	and	and	CCONJ
ispiv-190	135	26	lead	lead	VERB
ispiv-190	135	27	to	to	ADP
ispiv-190	135	28	high	high	ADJ
ispiv-190	135	29	-	-	PUNCT
ispiv-190	135	30	aspect	aspect	NOUN
ispiv-190	135	31	ratio	ratio	NOUN
ispiv-190	135	32	cells	cell	NOUN
ispiv-190	135	33	.	.	PUNCT
ispiv-190	136	1	to	to	PART
ispiv-190	136	2	enhance	enhance	VERB
ispiv-190	136	3	the	the	DET
ispiv-190	136	4	data	datum	NOUN
ispiv-190	136	5	layout	layout	NOUN
ispiv-190	136	6	,	,	PUNCT
ispiv-190	136	7	we	we	PRON
ispiv-190	136	8	interrogate	interrogate	VERB
ispiv-190	136	9	neighboring	neighboring	NOUN
ispiv-190	136	10	particle	particle	NOUN
ispiv-190	136	11	pairs	pair	NOUN
ispiv-190	136	12	in	in	ADP
ispiv-190	136	13	each	each	DET
ispiv-190	136	14	pum	pum	PROPN
ispiv-190	136	15	patch	patch	NOUN
ispiv-190	136	16	,	,	PUNCT
ispiv-190	136	17	and	and	CCONJ
ispiv-190	136	18	iteratively	iteratively	ADV
ispiv-190	136	19	mask	mask	VERB
ispiv-190	136	20	out	out	ADP
ispiv-190	136	21	one	one	NUM
ispiv-190	136	22	of	of	ADP
ispiv-190	136	23	the	the	DET
ispiv-190	136	24	two	two	NUM
ispiv-190	136	25	neighboring	neighboring	NOUN
ispiv-190	136	26	points	point	NOUN
ispiv-190	136	27	if	if	SCONJ
ispiv-190	136	28	the	the	DET
ispiv-190	136	29	distance	distance	NOUN
ispiv-190	136	30	between	between	ADP
ispiv-190	136	31	them	they	PRON
ispiv-190	136	32	is	be	AUX
ispiv-190	136	33	much	much	ADV
ispiv-190	136	34	closer	close	ADJ
ispiv-190	136	35	than	than	ADP
ispiv-190	136	36	the	the	DET
ispiv-190	136	37	rest	rest	NOUN
ispiv-190	136	38	of	of	ADP
ispiv-190	136	39	neighbors	neighbor	NOUN
ispiv-190	136	40	.	.	PUNCT
ispiv-190	137	1	in	in	ADP
ispiv-190	137	2	our	our	PRON
ispiv-190	137	3	tests	test	NOUN
ispiv-190	137	4	,	,	PUNCT
ispiv-190	137	5	a	a	DET
ispiv-190	137	6	few	few	ADJ
ispiv-190	137	7	iterations	iteration	NOUN
ispiv-190	137	8	are	be	AUX
ispiv-190	137	9	sufficient	sufficient	ADJ
ispiv-190	137	10	to	to	PART
ispiv-190	137	11	significantly	significantly	ADV
ispiv-190	137	12	improve	improve	VERB
ispiv-190	137	13	the	the	DET
ispiv-190	137	14	performance	performance	NOUN
ispiv-190	137	15	of	of	ADP
ispiv-190	137	16	rbf	rbf	PROPN
ispiv-190	137	17	-	-	PUNCT
ispiv-190	137	18	based	base	VERB
ispiv-190	137	19	calculation	calculation	NOUN
ispiv-190	137	20	.	.	PUNCT
ispiv-190	138	1	it	it	PRON
ispiv-190	138	2	is	be	AUX
ispiv-190	138	3	worth	worth	ADJ
ispiv-190	138	4	noting	note	VERB
ispiv-190	138	5	that	that	SCONJ
ispiv-190	138	6	when	when	SCONJ
ispiv-190	138	7	the	the	DET
ispiv-190	138	8	velocity	velocity	NOUN
ispiv-190	138	9	data	data	NOUN
ispiv-190	138	10	is	be	AUX
ispiv-190	138	11	contaminated	contaminate	VERB
ispiv-190	138	12	by	by	ADP
ispiv-190	138	13	noise	noise	NOUN
ispiv-190	138	14	,	,	PUNCT
ispiv-190	138	15	the	the	DET
ispiv-190	138	16	observation	observation	NOUN
ispiv-190	138	17	about	about	ADP
ispiv-190	138	18	the	the	DET
ispiv-190	138	19	data	data	NOUN
ispiv-190	138	20	layout	layout	NOUN
ispiv-190	138	21	is	be	AUX
ispiv-190	138	22	even	even	ADV
ispiv-190	138	23	more	more	ADV
ispiv-190	138	24	obvious	obvious	ADJ
ispiv-190	138	25	(	(	PUNCT
ispiv-190	138	26	see	see	VERB
ispiv-190	138	27	the	the	DET
ispiv-190	138	28	red	red	ADJ
ispiv-190	138	29	data	datum	NOUN
ispiv-190	138	30	points	point	NOUN
ispiv-190	138	31	and	and	CCONJ
ispiv-190	138	32	error	error	NOUN
ispiv-190	138	33	bars	bar	NOUN
ispiv-190	138	34	in	in	ADP
ispiv-190	138	35	figure	figure	NOUN
ispiv-190	138	36	2	2	NUM
ispiv-190	138	37	):	):	PUNCT
ispiv-190	138	38	random	random	ADJ
ispiv-190	138	39	noise	noise	NOUN
ispiv-190	138	40	on	on	ADP
ispiv-190	138	41	close	close	ADJ
ispiv-190	138	42	data	datum	NOUN
ispiv-190	138	43	points	point	NOUN
ispiv-190	138	44	further	far	ADV
ispiv-190	138	45	exacerbates	exacerbate	VERB
ispiv-190	138	46	the	the	DET
ispiv-190	138	47	effect	effect	NOUN
ispiv-190	138	48	of	of	ADP
ispiv-190	138	49	non	non	ADJ
ispiv-190	138	50	-	-	NOUN
ispiv-190	138	51	uniformity	uniformity	NOUN
ispiv-190	138	52	on	on	ADP
ispiv-190	138	53	numerical	numerical	ADJ
ispiv-190	138	54	differentiation	differentiation	NOUN
ispiv-190	138	55	.	.	PUNCT
ispiv-190	139	1	however	however	ADV
ispiv-190	139	2	,	,	PUNCT
ispiv-190	139	3	being	be	AUX
ispiv-190	139	4	noisy	noisy	ADJ
ispiv-190	139	5	is	be	AUX
ispiv-190	139	6	unfortunately	unfortunately	ADV
ispiv-190	139	7	the	the	DET
ispiv-190	139	8	case	case	NOUN
ispiv-190	139	9	of	of	ADP
ispiv-190	139	10	real	real	ADJ
ispiv-190	139	11	experimental	experimental	ADJ
ispiv-190	139	12	data	datum	NOUN
ispiv-190	139	13	.	.	PUNCT
ispiv-190	140	1	in	in	ADP
ispiv-190	140	2	addition	addition	NOUN
ispiv-190	140	3	,	,	PUNCT
ispiv-190	140	4	numerical	numerical	ADJ
ispiv-190	140	5	differentiation	differentiation	NOUN
ispiv-190	140	6	of	of	ADP
ispiv-190	140	7	noisy	noisy	ADJ
ispiv-190	140	8	data	datum	NOUN
ispiv-190	140	9	may	may	AUX
ispiv-190	140	10	significantly	significantly	ADV
ispiv-190	140	11	amplify	amplify	VERB
ispiv-190	140	12	the	the	DET
ispiv-190	140	13	noise	noise	NOUN
ispiv-190	140	14	especially	especially	ADV
ispiv-190	140	15	when	when	SCONJ
ispiv-190	140	16	the	the	DET
ispiv-190	140	17	‘	'	PUNCT
ispiv-190	140	18	grid	grid	ADJ
ispiv-190	140	19	spacing	spacing	NOUN
ispiv-190	140	20	’	'	PUNCT
ispiv-190	140	21	is	be	AUX
ispiv-190	140	22	small	small	ADJ
ispiv-190	140	23	and/or	and/or	CCONJ
ispiv-190	140	24	the	the	DET
ispiv-190	140	25	order	order	NOUN
ispiv-190	140	26	of	of	ADP
ispiv-190	140	27	the	the	DET
ispiv-190	140	28	differentiation	differentiation	NOUN
ispiv-190	140	29	scheme	scheme	NOUN
ispiv-190	140	30	is	be	AUX
ispiv-190	140	31	high	high	ADJ
ispiv-190	140	32	.	.	PUNCT
ispiv-190	141	1	for	for	ADP
ispiv-190	141	2	example	example	NOUN
ispiv-190	141	3	,	,	PUNCT
ispiv-190	141	4	fig	fig	NOUN
ispiv-190	141	5	.	.	PUNCT
ispiv-190	141	6	2	2	NUM
ispiv-190	141	7	shows	show	VERB
ispiv-190	141	8	that	that	SCONJ
ispiv-190	141	9	small	small	ADJ
ispiv-190	141	10	artificial	artificial	ADJ
ispiv-190	141	11	noise	noise	NOUN
ispiv-190	141	12	in	in	ADP
ispiv-190	141	13	the	the	DET
ispiv-190	141	14	velocity	velocity	NOUN
ispiv-190	141	15	field	field	NOUN
ispiv-190	141	16	can	can	AUX
ispiv-190	141	17	significantly	significantly	ADV
ispiv-190	141	18	corrupt	corrupt	VERB
ispiv-190	141	19	the	the	DET
ispiv-190	141	20	gradient	gradient	ADJ
ispiv-190	141	21	calculation	calculation	NOUN
ispiv-190	141	22	.	.	PUNCT
ispiv-190	142	1	thus	thus	ADV
ispiv-190	142	2	,	,	PUNCT
ispiv-190	142	3	we	we	PRON
ispiv-190	142	4	propose	propose	AUX
ispiv-190	142	5	applying	apply	VERB
ispiv-190	142	6	a	a	DET
ispiv-190	142	7	smoother	smooth	ADJ
ispiv-190	142	8	to	to	ADP
ispiv-190	142	9	the	the	DET
ispiv-190	142	10	velocity	velocity	NOUN
ispiv-190	142	11	data	datum	NOUN
ispiv-190	142	12	in	in	ADP
ispiv-190	142	13	each	each	DET
ispiv-190	142	14	pum	pum	PROPN
ispiv-190	142	15	patch	patch	NOUN
ispiv-190	142	16	after	after	ADP
ispiv-190	142	17	data	data	NOUN
ispiv-190	142	18	layout	layout	PROPN
ispiv-190	142	19	enhancement	enhancement	NOUN
ispiv-190	142	20	.	.	PUNCT
ispiv-190	143	1	in	in	ADP
ispiv-190	143	2	the	the	DET
ispiv-190	143	3	current	current	ADJ
ispiv-190	143	4	work	work	NOUN
ispiv-190	143	5	,	,	PUNCT
ispiv-190	143	6	a	a	DET
ispiv-190	143	7	two	two	NUM
ispiv-190	143	8	layer	layer	NOUN
ispiv-190	143	9	neural	neural	ADJ
ispiv-190	143	10	network	network	NOUN
ispiv-190	143	11	(	(	PUNCT
ispiv-190	143	12	‘	'	PUNCT
ispiv-190	143	13	newrbe	newrbe	NOUN
ispiv-190	143	14	’	'	PUNCT
ispiv-190	143	15	,	,	PUNCT
ispiv-190	143	16	a	a	DET
ispiv-190	143	17	matlab	matlab	NOUN
ispiv-190	143	18	built	build	VERB
ispiv-190	143	19	-	-	PUNCT
ispiv-190	143	20	in	in	ADP
ispiv-190	143	21	function	function	NOUN
ispiv-190	143	22	)	)	PUNCT
ispiv-190	143	23	is	be	AUX
ispiv-190	143	24	used	use	VERB
ispiv-190	143	25	to	to	PART
ispiv-190	143	26	smooth	smooth	VERB
ispiv-190	143	27	out	out	ADP
ispiv-190	143	28	potential	potential	ADJ
ispiv-190	143	29	noise	noise	NOUN
ispiv-190	143	30	.	.	PUNCT
ispiv-190	144	1	an	an	DET
ispiv-190	144	2	adaptive	adaptive	ADJ
ispiv-190	144	3	spread	spread	NOUN
ispiv-190	144	4	parameter	parameter	NOUN
ispiv-190	144	5	(	(	PUNCT
ispiv-190	144	6	sp	sp	NOUN
ispiv-190	144	7	)	)	PUNCT
ispiv-190	144	8	is	be	AUX
ispiv-190	144	9	used	use	VERB
ispiv-190	144	10	in	in	ADP
ispiv-190	144	11	the	the	DET
ispiv-190	144	12	’	'	PUNCT
ispiv-190	144	13	newrbe	newrbe	NOUN
ispiv-190	144	14	’	'	PUNCT
ispiv-190	144	15	function	function	NOUN
ispiv-190	144	16	is	be	AUX
ispiv-190	144	17	used	use	VERB
ispiv-190	144	18	:	:	PUNCT
ispiv-190	144	19	sp	sp	ADP
ispiv-190	144	20	=	=	SYM
ispiv-190	144	21	kdmin	kdmin	NOUN
ispiv-190	144	22	n	n	PROPN
ispiv-190	144	23	/	/	SYM
ispiv-190	144	24	d	d	NOUN
ispiv-190	144	25	√	√	NUM
ispiv-190	144	26	n	n	CCONJ
ispiv-190	144	27	,	,	PUNCT
ispiv-190	144	28	where	where	SCONJ
ispiv-190	144	29	dmin	dmin	PROPN
ispiv-190	144	30	n	n	PROPN
ispiv-190	144	31	is	be	AUX
ispiv-190	144	32	the	the	DET
ispiv-190	144	33	closest	close	ADJ
ispiv-190	144	34	distance	distance	NOUN
ispiv-190	144	35	between	between	ADP
ispiv-190	144	36	two	two	NUM
ispiv-190	144	37	neighboring	neighboring	NOUN
ispiv-190	144	38	points	point	NOUN
ispiv-190	144	39	within	within	ADP
ispiv-190	144	40	a	a	DET
ispiv-190	144	41	pum	pum	PROPN
ispiv-190	144	42	patch	patch	NOUN
ispiv-190	144	43	after	after	ADP
ispiv-190	144	44	data	data	NOUN
ispiv-190	144	45	layout	layout	PROPN
ispiv-190	144	46	enhancing	enhancing	NOUN
ispiv-190	144	47	,	,	PUNCT
ispiv-190	144	48	n	n	PRON
ispiv-190	144	49	is	be	AUX
ispiv-190	144	50	the	the	DET
ispiv-190	144	51	number	number	NOUN
ispiv-190	144	52	of	of	ADP
ispiv-190	144	53	points	point	NOUN
ispiv-190	144	54	in	in	ADP
ispiv-190	144	55	that	that	DET
ispiv-190	144	56	patch	patch	NOUN
ispiv-190	144	57	,	,	PUNCT
ispiv-190	144	58	d	d	PROPN
ispiv-190	144	59	is	be	AUX
ispiv-190	144	60	dimension	dimension	NOUN
ispiv-190	144	61	of	of	ADP
ispiv-190	144	62	domain	domain	NOUN
ispiv-190	144	63	.	.	PUNCT
ispiv-190	145	1	we	we	PRON
ispiv-190	145	2	tested	test	VERB
ispiv-190	145	3	on	on	ADP
ispiv-190	145	4	isotropic	isotropic	ADJ
ispiv-190	145	5	turbulent	turbulent	ADJ
ispiv-190	145	6	flows	flow	NOUN
ispiv-190	145	7	(	(	PUNCT
ispiv-190	145	8	see	see	VERB
ispiv-190	145	9	§	§	PROPN
ispiv-190	145	10	5	5	NUM
ispiv-190	145	11	)	)	PUNCT
ispiv-190	145	12	and	and	CCONJ
ispiv-190	145	13	found	find	VERB
ispiv-190	145	14	that	that	SCONJ
ispiv-190	145	15	k	k	PROPN
ispiv-190	145	16	=	=	PUNCT
ispiv-190	145	17	1000	1000	NUM
ispiv-190	145	18	and	and	CCONJ
ispiv-190	145	19	250	250	NUM
ispiv-190	145	20	are	be	AUX
ispiv-190	145	21	robust	robust	ADJ
ispiv-190	145	22	choices	choice	NOUN
ispiv-190	145	23	for	for	ADP
ispiv-190	145	24	2d	2d	NUM
ispiv-190	145	25	and	and	CCONJ
ispiv-190	145	26	3d	3d	NUM
ispiv-190	145	27	computation	computation	NOUN
ispiv-190	145	28	,	,	PUNCT
ispiv-190	145	29	respectively	respectively	ADV
ispiv-190	145	30	.	.	PUNCT
ispiv-190	146	1	4	4	NUM
ispiv-190	146	2	post	post	ADJ
ispiv-190	146	3	-	-	ADJ
ispiv-190	146	4	processing	processing	ADJ
ispiv-190	146	5	:	:	PUNCT
ispiv-190	146	6	outlier	outlier	NOUN
ispiv-190	146	7	detection	detection	NOUN
ispiv-190	146	8	and	and	CCONJ
ispiv-190	146	9	removal	removal	NOUN
ispiv-190	146	10	it	it	PRON
ispiv-190	146	11	is	be	AUX
ispiv-190	146	12	possible	possible	ADJ
ispiv-190	146	13	to	to	PART
ispiv-190	146	14	have	have	VERB
ispiv-190	146	15	few	few	ADJ
ispiv-190	146	16	extreme	extreme	ADJ
ispiv-190	146	17	values	value	NOUN
ispiv-190	146	18	(	(	PUNCT
ispiv-190	146	19	likely	likely	ADV
ispiv-190	146	20	suffering	suffer	VERB
ispiv-190	146	21	large	large	ADJ
ispiv-190	146	22	error	error	NOUN
ispiv-190	146	23	)	)	PUNCT
ispiv-190	146	24	in	in	ADP
ispiv-190	146	25	the	the	DET
ispiv-190	146	26	calculated	calculate	VERB
ispiv-190	146	27	gradient	gradient	NOUN
ispiv-190	146	28	fields	field	NOUN
ispiv-190	146	29	,	,	PUNCT
ispiv-190	146	30	even	even	ADV
ispiv-190	146	31	if	if	SCONJ
ispiv-190	146	32	pre	pre	ADJ
ispiv-190	146	33	-	-	ADJ
ispiv-190	146	34	processing	processing	NOUN
ispiv-190	146	35	is	be	AUX
ispiv-190	146	36	applied	apply	VERB
ispiv-190	146	37	and	and	CCONJ
ispiv-190	146	38	the	the	DET
ispiv-190	146	39	overall	overall	ADJ
ispiv-190	146	40	accuracy	accuracy	NOUN
ispiv-190	146	41	of	of	ADP
ispiv-190	146	42	the	the	DET
ispiv-190	146	43	calculation	calculation	NOUN
ispiv-190	146	44	is	be	AUX
ispiv-190	146	45	significantly	significantly	ADV
ispiv-190	146	46	improved	improve	VERB
ispiv-190	146	47	.	.	PUNCT
ispiv-190	147	1	thus	thus	ADV
ispiv-190	147	2	,	,	PUNCT
ispiv-190	147	3	an	an	DET
ispiv-190	147	4	outlier	outlier	NOUN
ispiv-190	147	5	detector	detector	NOUN
ispiv-190	147	6	and	and	CCONJ
ispiv-190	147	7	remover	remover	NOUN
ispiv-190	147	8	may	may	AUX
ispiv-190	147	9	be	be	AUX
ispiv-190	147	10	necessary	necessary	ADJ
ispiv-190	147	11	for	for	ADP
ispiv-190	147	12	post	post	ADJ
ispiv-190	147	13	-	-	ADJ
ispiv-190	147	14	processing	processing	NOUN
ispiv-190	147	15	.	.	PUNCT
ispiv-190	148	1	in	in	ADP
ispiv-190	148	2	the	the	DET
ispiv-190	148	3	current	current	ADJ
ispiv-190	148	4	work	work	NOUN
ispiv-190	148	5	,	,	PUNCT
ispiv-190	148	6	we	we	PRON
ispiv-190	148	7	adopt	adopt	VERB
ispiv-190	148	8	an	an	DET
ispiv-190	148	9	adaptive	adaptive	ADJ
ispiv-190	148	10	outlier	outlier	NOUN
ispiv-190	148	11	detector	detector	NOUN
ispiv-190	148	12	developed	develop	VERB
ispiv-190	148	13	by	by	ADP
ispiv-190	148	14	cheng	cheng	PROPN
ispiv-190	148	15	and	and	CCONJ
ispiv-190	148	16	wang	wang	PROPN
ispiv-190	148	17	(	(	PUNCT
ispiv-190	148	18	2019	2019	NUM
ispiv-190	148	19	)	)	PUNCT
ispiv-190	148	20	,	,	PUNCT
ispiv-190	148	21	which	which	PRON
ispiv-190	148	22	labels	label	VERB
ispiv-190	148	23	an	an	DET
ispiv-190	148	24	extreme	extreme	ADJ
ispiv-190	148	25	value	value	NOUN
ispiv-190	148	26	in	in	ADP
ispiv-190	148	27	a	a	DET
ispiv-190	148	28	neighborhood	neighborhood	NOUN
ispiv-190	148	29	as	as	ADP
ispiv-190	148	30	an	an	DET
ispiv-190	148	31	outlier	outlier	NOUN
ispiv-190	148	32	and	and	CCONJ
ispiv-190	148	33	removes	remove	VERB
ispiv-190	148	34	it	it	PRON
ispiv-190	148	35	for	for	ADP
ispiv-190	148	36	the	the	DET
ispiv-190	148	37	final	final	ADJ
ispiv-190	148	38	result	result	NOUN
ispiv-190	148	39	.	.	PUNCT
ispiv-190	149	1	5	5	NUM
ispiv-190	149	2	validation	validation	NOUN
ispiv-190	149	3	on	on	ADP
ispiv-190	149	4	simulated	simulate	VERB
ispiv-190	149	5	ptv	ptv	PROPN
ispiv-190	149	6	data	datum	NOUN
ispiv-190	149	7	we	we	PRON
ispiv-190	149	8	next	next	ADV
ispiv-190	149	9	validate	validate	VERB
ispiv-190	149	10	the	the	DET
ispiv-190	149	11	performance	performance	NOUN
ispiv-190	149	12	of	of	ADP
ispiv-190	149	13	our	our	PRON
ispiv-190	149	14	data	datum	NOUN
ispiv-190	149	15	analysis	analysis	NOUN
ispiv-190	149	16	method	method	NOUN
ispiv-190	149	17	.	.	PUNCT
ispiv-190	150	1	a	a	DET
ispiv-190	150	2	direct	direct	PROPN
ispiv-190	150	3	numerical	numerical	PROPN
ispiv-190	150	4	simulation	simulation	PROPN
ispiv-190	150	5	(	(	PUNCT
ispiv-190	150	6	dns	dns	NOUN
ispiv-190	150	7	)	)	PUNCT
ispiv-190	150	8	of	of	ADP
ispiv-190	150	9	forced	force	VERB
ispiv-190	150	10	isotropic	isotropic	ADJ
ispiv-190	150	11	turbulence	turbulence	NOUN
ispiv-190	150	12	is	be	AUX
ispiv-190	150	13	used	use	VERB
ispiv-190	150	14	as	as	ADP
ispiv-190	150	15	ground	ground	NOUN
ispiv-190	150	16	truth	truth	NOUN
ispiv-190	150	17	to	to	PART
ispiv-190	150	18	validate	validate	VERB
ispiv-190	150	19	the	the	DET
ispiv-190	150	20	algorithm	algorithm	NOUN
ispiv-190	150	21	.	.	PUNCT
ispiv-190	151	1	the	the	DET
ispiv-190	151	2	simulations	simulation	NOUN
ispiv-190	151	3	were	be	AUX
ispiv-190	151	4	conducted	conduct	VERB
ispiv-190	151	5	using	use	VERB
ispiv-190	151	6	the	the	DET
ispiv-190	151	7	pencil	pencil	NOUN
ispiv-190	151	8	code	code	NOUN
ispiv-190	151	9	(	(	PUNCT
ispiv-190	151	10	brandenburg	brandenburg	PROPN
ispiv-190	151	11	et	et	PROPN
ispiv-190	151	12	al	al	PROPN
ispiv-190	151	13	.	.	PROPN
ispiv-190	151	14	,	,	PUNCT
ispiv-190	151	15	2021	2021	NUM
ispiv-190	151	16	)	)	PUNCT
ispiv-190	151	17	.	.	PUNCT
ispiv-190	152	1	the	the	DET
ispiv-190	152	2	solver	solver	NOUN
ispiv-190	152	3	uses	use	VERB
ispiv-190	152	4	a	a	DET
ispiv-190	152	5	high	high	ADJ
ispiv-190	152	6	-	-	PUNCT
ispiv-190	152	7	order	order	NOUN
ispiv-190	152	8	,	,	PUNCT
ispiv-190	152	9	explicit	explicit	ADJ
ispiv-190	152	10	finite	finite	ADJ
ispiv-190	152	11	-	-	ADJ
ispiv-190	152	12	difference	difference	NOUN
ispiv-190	152	13	scheme	scheme	NOUN
ispiv-190	152	14	combined	combine	VERB
ispiv-190	152	15	with	with	ADP
ispiv-190	152	16	a	a	DET
ispiv-190	152	17	hyperviscosity	hyperviscosity	NOUN
ispiv-190	152	18	filter	filter	NOUN
ispiv-190	152	19	for	for	ADP
ispiv-190	152	20	stability	stability	NOUN
ispiv-190	152	21	.	.	PUNCT
ispiv-190	153	1	a	a	DET
ispiv-190	153	2	solenoidal	solenoidal	ADJ
ispiv-190	153	3	forcing	forcing	NOUN
ispiv-190	153	4	is	be	AUX
ispiv-190	153	5	applied	apply	VERB
ispiv-190	153	6	to	to	PART
ispiv-190	153	7	randomly	randomly	ADV
ispiv-190	153	8	selected	select	VERB
ispiv-190	153	9	low	low	ADJ
ispiv-190	153	10	-	-	PUNCT
ispiv-190	153	11	wave	wave	NOUN
ispiv-190	153	12	numbers	number	NOUN
ispiv-190	153	13	in	in	ADP
ispiv-190	153	14	the	the	DET
ispiv-190	153	15	velocity	velocity	NOUN
ispiv-190	153	16	spectrum	spectrum	NOUN
ispiv-190	153	17	to	to	PART
ispiv-190	153	18	sustain	sustain	VERB
ispiv-190	153	19	the	the	DET
ispiv-190	153	20	turbulence	turbulence	NOUN
ispiv-190	153	21	at	at	ADP
ispiv-190	153	22	a	a	DET
ispiv-190	153	23	reynolds	reynolds	PROPN
ispiv-190	153	24	number	number	NOUN
ispiv-190	153	25	(	(	PUNCT
ispiv-190	153	26	based	base	VERB
ispiv-190	153	27	on	on	ADP
ispiv-190	153	28	the	the	DET
ispiv-190	153	29	taylor	taylor	PROPN
ispiv-190	153	30	length	length	PROPN
ispiv-190	153	31	scale	scale	NOUN
ispiv-190	153	32	)	)	PUNCT
ispiv-190	153	33	of	of	ADP
ispiv-190	153	34	reλ	reλ	NOUN
ispiv-190	153	35	≈	≈	PROPN
ispiv-190	153	36	80	80	NUM
ispiv-190	153	37	.	.	PUNCT
ispiv-190	154	1	an	an	DET
ispiv-190	154	2	overly	overly	ADV
ispiv-190	154	3	conservative	conservative	ADJ
ispiv-190	154	4	grid	grid	NOUN
ispiv-190	154	5	resolution	resolution	NOUN
ispiv-190	154	6	of	of	ADP
ispiv-190	154	7	5123	5123	NUM
ispiv-190	154	8	was	be	AUX
ispiv-190	154	9	selected	select	VERB
ispiv-190	154	10	to	to	PART
ispiv-190	154	11	adequately	adequately	ADV
ispiv-190	154	12	resolve	resolve	VERB
ispiv-190	154	13	all	all	DET
ispiv-190	154	14	relevant	relevant	ADJ
ispiv-190	154	15	dynamic	dynamic	ADJ
ispiv-190	154	16	scales	scale	NOUN
ispiv-190	154	17	in	in	ADP
ispiv-190	154	18	the	the	DET
ispiv-190	154	19	flow	flow	NOUN
ispiv-190	154	20	.	.	PUNCT
ispiv-190	155	1	pseudo	pseudo	NOUN
ispiv-190	155	2	-	-	NOUN
ispiv-190	155	3	particles	particle	NOUN
ispiv-190	155	4	are	be	AUX
ispiv-190	155	5	injected	inject	VERB
ispiv-190	155	6	in	in	ADP
ispiv-190	155	7	the	the	DET
ispiv-190	155	8	domain	domain	NOUN
ispiv-190	155	9	at	at	ADP
ispiv-190	155	10	random	random	ADJ
ispiv-190	155	11	locations	location	NOUN
ispiv-190	155	12	.	.	PUNCT
ispiv-190	156	1	the	the	DET
ispiv-190	156	2	velocity	velocity	NOUN
ispiv-190	156	3	and	and	CCONJ
ispiv-190	156	4	velocity	velocity	NOUN
ispiv-190	156	5	gradients	gradient	NOUN
ispiv-190	156	6	at	at	ADP
ispiv-190	156	7	the	the	DET
ispiv-190	156	8	particle	particle	NOUN
ispiv-190	156	9	locations	location	NOUN
ispiv-190	156	10	are	be	AUX
ispiv-190	156	11	obtained	obtain	VERB
ispiv-190	156	12	using	use	VERB
ispiv-190	156	13	linear	linear	ADJ
ispiv-190	156	14	interpolation	interpolation	NOUN
ispiv-190	156	15	from	from	ADP
ispiv-190	156	16	the	the	DET
ispiv-190	156	17	dns	dns	NOUN
ispiv-190	156	18	data	data	PROPN
ispiv-190	156	19	.	.	PUNCT
ispiv-190	157	1	small	small	ADJ
ispiv-190	157	2	artificial	artificial	ADJ
ispiv-190	157	3	noise	noise	NOUN
ispiv-190	157	4	is	be	AUX
ispiv-190	157	5	introduced	introduce	VERB
ispiv-190	157	6	to	to	ADP
ispiv-190	157	7	each	each	DET
ispiv-190	157	8	velocity	velocity	NOUN
ispiv-190	157	9	component	component	NOUN
ispiv-190	157	10	at	at	ADP
ispiv-190	157	11	a	a	DET
ispiv-190	157	12	particle	particle	NOUN
ispiv-190	157	13	to	to	PART
ispiv-190	157	14	simulate	simulate	VERB
ispiv-190	157	15	the	the	DET
ispiv-190	157	16	noise	noise	NOUN
ispiv-190	157	17	in	in	ADP
ispiv-190	157	18	experiments	experiment	NOUN
ispiv-190	157	19	.	.	PUNCT
ispiv-190	158	1	the	the	DET
ispiv-190	158	2	noise	noise	NOUN
ispiv-190	158	3	is	be	AUX
ispiv-190	158	4	zero	zero	NUM
ispiv-190	158	5	mean	mean	NOUN
ispiv-190	158	6	gaussian	gaussian	NOUN
ispiv-190	158	7	noise	noise	NOUN
ispiv-190	158	8	with	with	ADP
ispiv-190	158	9	a	a	DET
ispiv-190	158	10	standard	standard	ADJ
ispiv-190	158	11	deviation	deviation	NOUN
ispiv-190	158	12	of	of	ADP
ispiv-190	158	13	1	1	NUM
ispiv-190	158	14	%	%	NOUN
ispiv-190	158	15	of	of	ADP
ispiv-190	158	16	the	the	DET
ispiv-190	158	17	maximum	maximum	ADJ
ispiv-190	158	18	corresponding	corresponding	ADJ
ispiv-190	158	19	velocity	velocity	NOUN
ispiv-190	158	20	component	component	NOUN
ispiv-190	158	21	,	,	PUNCT
ispiv-190	158	22	and	and	CCONJ
ispiv-190	158	23	we	we	PRON
ispiv-190	158	24	use	use	VERB
ispiv-190	158	25	this	this	DET
ispiv-190	158	26	noise	noise	NOUN
ispiv-190	158	27	throughout	throughout	ADP
ispiv-190	158	28	the	the	DET
ispiv-190	158	29	current	current	ADJ
ispiv-190	158	30	paper	paper	NOUN
ispiv-190	158	31	.	.	PUNCT
ispiv-190	159	1	we	we	PRON
ispiv-190	159	2	use	use	VERB
ispiv-190	159	3	this	this	DET
ispiv-190	159	4	contaminated	contaminate	VERB
ispiv-190	159	5	synthetic	synthetic	ADJ
ispiv-190	159	6	ptv	ptv	PROPN
ispiv-190	159	7	data	datum	NOUN
ispiv-190	159	8	as	as	ADP
ispiv-190	159	9	the	the	DET
ispiv-190	159	10	input	input	NOUN
ispiv-190	159	11	to	to	PART
ispiv-190	159	12	test	test	VERB
ispiv-190	159	13	the	the	DET
ispiv-190	159	14	performance	performance	NOUN
ispiv-190	159	15	of	of	ADP
ispiv-190	159	16	the	the	DET
ispiv-190	159	17	data	datum	NOUN
ispiv-190	159	18	analysis	analysis	NOUN
ispiv-190	159	19	tool	tool	NOUN
ispiv-190	159	20	.	.	PUNCT
ispiv-190	160	1	a	a	DET
ispiv-190	160	2	baseline	baseline	ADJ
ispiv-190	160	3	algorithm	algorithm	NOUN
ispiv-190	160	4	based	base	VERB
ispiv-190	160	5	on	on	ADP
ispiv-190	160	6	rbf	rbf	PROPN
ispiv-190	160	7	-	-	ADJ
ispiv-190	160	8	direct	direct	ADJ
ispiv-190	160	9	with	with	ADP
ispiv-190	160	10	adaptive	adaptive	ADJ
ispiv-190	160	11	shape	shape	NOUN
ispiv-190	160	12	factor	factor	NOUN
ispiv-190	160	13	from	from	ADP
ispiv-190	160	14	literature	literature	PROPN
ispiv-190	160	15	jeon	jeon	PROPN
ispiv-190	160	16	et	et	PROPN
ispiv-190	160	17	al	al	PROPN
ispiv-190	160	18	.	.	PROPN
ispiv-190	161	1	(	(	PUNCT
ispiv-190	161	2	2018	2018	NUM
ispiv-190	161	3	)	)	PUNCT
ispiv-190	161	4	is	be	AUX
ispiv-190	161	5	also	also	ADV
ispiv-190	161	6	used	use	VERB
ispiv-190	161	7	for	for	ADP
ispiv-190	161	8	compression	compression	NOUN
ispiv-190	161	9	(	(	PUNCT
ispiv-190	161	10	i.e.	i.e.	X
ispiv-190	161	11	,	,	PUNCT
ispiv-190	161	12	φ(r	φ(r	ADJ
ispiv-190	161	13	)	)	PUNCT
ispiv-190	161	14	=	=	SYM
ispiv-190	161	15	exp(−	exp(−	PROPN
ispiv-190	161	16	r2	r2	PROPN
ispiv-190	161	17	2.4h2	2.4h2	NUM
ispiv-190	161	18	)	)	PUNCT
ispiv-190	161	19	,	,	PUNCT
ispiv-190	161	20	where	where	SCONJ
ispiv-190	161	21	we	we	PRON
ispiv-190	161	22	define	define	VERB
ispiv-190	161	23	h	h	NOUN
ispiv-190	161	24	as	as	ADP
ispiv-190	161	25	the	the	DET
ispiv-190	161	26	average	average	ADJ
ispiv-190	161	27	distance	distance	NOUN
ispiv-190	161	28	between	between	ADP
ispiv-190	161	29	the	the	DET
ispiv-190	161	30	particles	particle	NOUN
ispiv-190	161	31	)	)	PUNCT
ispiv-190	161	32	.	.	PUNCT
ispiv-190	162	1	the	the	DET
ispiv-190	162	2	relative	relative	ADJ
ispiv-190	162	3	error	error	NOUN
ispiv-190	162	4	in	in	ADP
ispiv-190	162	5	the	the	DET
ispiv-190	162	6	quantity	quantity	NOUN
ispiv-190	162	7	of	of	ADP
ispiv-190	162	8	interest	interest	NOUN
ispiv-190	162	9	is	be	AUX
ispiv-190	162	10	used	use	VERB
ispiv-190	162	11	to	to	PART
ispiv-190	162	12	assess	assess	VERB
ispiv-190	162	13	the	the	DET
ispiv-190	162	14	accuracy	accuracy	NOUN
ispiv-190	162	15	of	of	ADP
ispiv-190	162	16	the	the	DET
ispiv-190	162	17	computation	computation	NOUN
ispiv-190	162	18	.	.	PUNCT
ispiv-190	163	1	for	for	ADP
ispiv-190	163	2	example	example	NOUN
ispiv-190	163	3	,	,	PUNCT
ispiv-190	163	4	when	when	SCONJ
ispiv-190	163	5	calculating	calculate	VERB
ispiv-190	163	6	the	the	DET
ispiv-190	163	7	vorticity	vorticity	NOUN
ispiv-190	163	8	of	of	ADP
ispiv-190	163	9	a	a	DET
ispiv-190	163	10	2d	2d	NUM
ispiv-190	163	11	flow	flow	NOUN
ispiv-190	163	12	field	field	NOUN
ispiv-190	163	13	,	,	PUNCT
ispiv-190	163	14	the	the	DET
ispiv-190	163	15	relative	relative	ADJ
ispiv-190	163	16	error	error	NOUN
ispiv-190	163	17	at	at	ADP
ispiv-190	163	18	each	each	DET
ispiv-190	163	19	particle	particle	NOUN
ispiv-190	163	20	is	be	AUX
ispiv-190	163	21	defined	define	VERB
ispiv-190	163	22	as	as	ADP
ispiv-190	163	23	e	e	X
ispiv-190	163	24	=	=	PRON
ispiv-190	163	25	|ω−	|ω−	PROPN
ispiv-190	163	26	ω̃|	ω̃|	ADJ
ispiv-190	163	27	||ω||l∞(ω	||ω||l∞(ω	NOUN
ispiv-190	163	28	)	)	PUNCT
ispiv-190	163	29	×100	×100	PROPN
ispiv-190	163	30	%	%	NOUN
ispiv-190	163	31	,	,	PUNCT
ispiv-190	163	32	(	(	PUNCT
ispiv-190	163	33	2	2	X
ispiv-190	163	34	)	)	PUNCT
ispiv-190	163	35	where	where	SCONJ
ispiv-190	163	36	ω	ω	PROPN
ispiv-190	163	37	is	be	AUX
ispiv-190	163	38	the	the	DET
ispiv-190	163	39	true	true	ADJ
ispiv-190	163	40	value	value	NOUN
ispiv-190	163	41	of	of	ADP
ispiv-190	163	42	the	the	DET
ispiv-190	163	43	vorticity	vorticity	NOUN
ispiv-190	163	44	,	,	PUNCT
ispiv-190	163	45	and	and	CCONJ
ispiv-190	163	46	ω̃	ω̃	NUM
ispiv-190	163	47	is	be	AUX
ispiv-190	163	48	the	the	DET
ispiv-190	163	49	computed	computed	ADJ
ispiv-190	163	50	value	value	NOUN
ispiv-190	163	51	that	that	PRON
ispiv-190	163	52	may	may	AUX
ispiv-190	163	53	have	have	VERB
ispiv-190	163	54	error	error	NOUN
ispiv-190	163	55	.	.	PUNCT
ispiv-190	164	1	note	note	NOUN
ispiv-190	164	2	,	,	PUNCT
ispiv-190	164	3	we	we	PRON
ispiv-190	164	4	found	find	VERB
ispiv-190	164	5	that	that	SCONJ
ispiv-190	164	6	the	the	DET
ispiv-190	164	7	distribution	distribution	NOUN
ispiv-190	164	8	of	of	ADP
ispiv-190	164	9	error	error	NOUN
ispiv-190	164	10	is	be	AUX
ispiv-190	164	11	close	close	ADJ
ispiv-190	164	12	to	to	ADP
ispiv-190	164	13	logarithm	logarithm	NOUN
ispiv-190	164	14	-	-	PUNCT
ispiv-190	164	15	normal	normal	ADJ
ispiv-190	164	16	.	.	PUNCT
ispiv-190	165	1	figure	figure	NOUN
ispiv-190	165	2	3	3	NUM
ispiv-190	165	3	shows	show	VERB
ispiv-190	165	4	a	a	DET
ispiv-190	165	5	2d	2d	NUM
ispiv-190	165	6	validation	validation	NOUN
ispiv-190	165	7	calculating	calculate	VERB
ispiv-190	165	8	vorticity	vorticity	NOUN
ispiv-190	165	9	from	from	ADP
ispiv-190	165	10	simulated	simulated	ADJ
ispiv-190	165	11	2d	2d	NUM
ispiv-190	165	12	ptv	ptv	PROPN
ispiv-190	165	13	data	datum	NOUN
ispiv-190	165	14	,	,	PUNCT
ispiv-190	165	15	where	where	SCONJ
ispiv-190	165	16	uuu	uuu	PROPN
ispiv-190	165	17	=	=	PUNCT
ispiv-190	165	18	(	(	PUNCT
ispiv-190	165	19	u	u	NOUN
ispiv-190	165	20	,	,	PUNCT
ispiv-190	165	21	v	v	NOUN
ispiv-190	165	22	)	)	PUNCT
ispiv-190	165	23	is	be	AUX
ispiv-190	165	24	the	the	DET
ispiv-190	165	25	velocity	velocity	NOUN
ispiv-190	165	26	field	field	NOUN
ispiv-190	165	27	measured	measure	VERB
ispiv-190	165	28	at	at	ADP
ispiv-190	165	29	1×104	1×104	NUM
ispiv-190	165	30	randomly	randomly	ADV
ispiv-190	165	31	distributed	distribute	VERB
ispiv-190	165	32	particles	particle	NOUN
ispiv-190	165	33	on	on	ADP
ispiv-190	165	34	a	a	DET
ispiv-190	165	35	(	(	PUNCT
ispiv-190	165	36	x	x	NOUN
ispiv-190	165	37	,	,	PUNCT
ispiv-190	165	38	y	y	NOUN
ispiv-190	165	39	)	)	PUNCT
ispiv-190	165	40	∈	∈	PROPN
ispiv-190	166	1	[	[	X
ispiv-190	166	2	−π	−π	ADJ
ispiv-190	166	3	,	,	PUNCT
ispiv-190	166	4	π]×	π]×	NOUN
ispiv-190	166	5	[	[	X
ispiv-190	166	6	−π	−π	X
ispiv-190	166	7	,	,	PUNCT
ispiv-190	166	8	π	π	NOUN
ispiv-190	166	9	]	]	X
ispiv-190	166	10	domain	domain	NOUN
ispiv-190	166	11	.	.	PUNCT
ispiv-190	167	1	the	the	DET
ispiv-190	167	2	velocity	velocity	NOUN
ispiv-190	167	3	(	(	PUNCT
ispiv-190	167	4	fig	fig	NOUN
ispiv-190	167	5	.	.	PUNCT
ispiv-190	167	6	3(a	3(a	NUM
ispiv-190	167	7	)	)	PUNCT
ispiv-190	167	8	)	)	PUNCT
ispiv-190	167	9	and	and	CCONJ
ispiv-190	167	10	vorticity	vorticity	NOUN
ispiv-190	167	11	(	(	PUNCT
ispiv-190	167	12	fig	fig	NOUN
ispiv-190	167	13	.	.	PUNCT
ispiv-190	168	1	3(b	3(b	NUM
ispiv-190	168	2	)	)	PUNCT
ispiv-190	168	3	)	)	PUNCT
ispiv-190	168	4	fields	field	NOUN
ispiv-190	168	5	are	be	AUX
ispiv-190	168	6	based	base	VERB
ispiv-190	168	7	on	on	ADP
ispiv-190	168	8	a	a	DET
ispiv-190	168	9	slice	slice	NOUN
ispiv-190	168	10	of	of	ADP
ispiv-190	168	11	the	the	DET
ispiv-190	168	12	aforementioned	aforementioned	ADJ
ispiv-190	168	13	3d	3d	PROPN
ispiv-190	168	14	dns	dns	PROPN
ispiv-190	168	15	data	data	PROPN
ispiv-190	168	16	.	.	PUNCT
ispiv-190	169	1	calculated	calculate	VERB
ispiv-190	169	2	vorticity	vorticity	NOUN
ispiv-190	169	3	field	field	NOUN
ispiv-190	169	4	based	base	VERB
ispiv-190	169	5	on	on	ADP
ispiv-190	169	6	simulated	simulated	ADJ
ispiv-190	169	7	ptv	ptv	PROPN
ispiv-190	169	8	data	datum	NOUN
ispiv-190	169	9	with	with	ADP
ispiv-190	169	10	(	(	PUNCT
ispiv-190	169	11	fig	fig	NOUN
ispiv-190	169	12	.	.	PUNCT
ispiv-190	170	1	3(c3	3(c3	NUM
ispiv-190	170	2	and	and	CCONJ
ispiv-190	170	3	c4	c4	NOUN
ispiv-190	170	4	)	)	PUNCT
ispiv-190	170	5	)	)	PUNCT
ispiv-190	170	6	and	and	CCONJ
ispiv-190	170	7	without	without	ADP
ispiv-190	170	8	(	(	PUNCT
ispiv-190	170	9	fig	fig	NOUN
ispiv-190	170	10	.	.	PUNCT
ispiv-190	171	1	3(c1	3(c1	NUM
ispiv-190	171	2	and	and	CCONJ
ispiv-190	171	3	c2	c2	PROPN
ispiv-190	171	4	)	)	PUNCT
ispiv-190	171	5	)	)	PUNCT
ispiv-190	172	1	noise	noise	NOUN
ispiv-190	172	2	are	be	AUX
ispiv-190	172	3	shown	show	VERB
ispiv-190	172	4	.	.	PUNCT
ispiv-190	173	1	the	the	DET
ispiv-190	173	2	corresponding	corresponding	ADJ
ispiv-190	173	3	relative	relative	ADJ
ispiv-190	173	4	error	error	NOUN
ispiv-190	173	5	at	at	ADP
ispiv-190	173	6	each	each	DET
ispiv-190	173	7	particle	particle	NOUN
ispiv-190	173	8	is	be	AUX
ispiv-190	173	9	presented	present	VERB
ispiv-190	173	10	in	in	ADP
ispiv-190	173	11	fig	fig	NOUN
ispiv-190	173	12	.	.	PUNCT
ispiv-190	174	1	3(d1	3(d1	NUM
ispiv-190	174	2	–	–	PUNCT
ispiv-190	174	3	d4	d4	PROPN
ispiv-190	174	4	)	)	PUNCT
ispiv-190	174	5	accordingly	accordingly	ADV
ispiv-190	174	6	,	,	PUNCT
ispiv-190	174	7	and	and	CCONJ
ispiv-190	174	8	summarized	summarize	VERB
ispiv-190	174	9	as	as	ADP
ispiv-190	174	10	histograms	histogram	NOUN
ispiv-190	174	11	in	in	ADP
ispiv-190	174	12	fig	fig	NOUN
ispiv-190	174	13	.	.	PUNCT
ispiv-190	175	1	3(e1	3(e1	NUM
ispiv-190	175	2	–	–	PUNCT
ispiv-190	175	3	e4	e4	PROPN
ispiv-190	175	4	)	)	PUNCT
ispiv-190	175	5	.	.	PUNCT
ispiv-190	176	1	when	when	SCONJ
ispiv-190	176	2	no	no	DET
ispiv-190	176	3	artificial	artificial	ADJ
ispiv-190	176	4	noise	noise	NOUN
ispiv-190	176	5	is	be	AUX
ispiv-190	176	6	introduced	introduce	VERB
ispiv-190	176	7	to	to	ADP
ispiv-190	176	8	the	the	DET
ispiv-190	176	9	velocity	velocity	NOUN
ispiv-190	176	10	field	field	NOUN
ispiv-190	176	11	,	,	PUNCT
ispiv-190	176	12	both	both	CCONJ
ispiv-190	176	13	the	the	DET
ispiv-190	176	14	baseline	baseline	ADJ
ispiv-190	176	15	algorithm	algorithm	NOUN
ispiv-190	176	16	and	and	CCONJ
ispiv-190	176	17	our	our	PRON
ispiv-190	176	18	method	method	NOUN
ispiv-190	176	19	can	can	AUX
ispiv-190	176	20	evaluate	evaluate	VERB
ispiv-190	176	21	the	the	DET
ispiv-190	176	22	vorticity	vorticity	NOUN
ispiv-190	176	23	accurately	accurately	ADV
ispiv-190	176	24	.	.	PUNCT
ispiv-190	177	1	the	the	DET
ispiv-190	177	2	median	median	ADJ
ispiv-190	177	3	figure	figure	NOUN
ispiv-190	177	4	3	3	NUM
ispiv-190	177	5	:	:	SYM
ispiv-190	177	6	2d	2d	NUM
ispiv-190	177	7	validation	validation	NOUN
ispiv-190	177	8	on	on	ADP
ispiv-190	177	9	simulated	simulated	ADJ
ispiv-190	177	10	ptv	ptv	PROPN
ispiv-190	177	11	data	datum	NOUN
ispiv-190	177	12	.	.	PUNCT
ispiv-190	178	1	(	(	PUNCT
ispiv-190	178	2	a	a	X
ispiv-190	178	3	)	)	PUNCT
ispiv-190	178	4	velocity	velocity	NOUN
ispiv-190	178	5	field	field	NOUN
ispiv-190	178	6	of	of	ADP
ispiv-190	178	7	the	the	DET
ispiv-190	178	8	simulated	simulate	VERB
ispiv-190	178	9	ptv	ptv	PROPN
ispiv-190	178	10	data	datum	NOUN
ispiv-190	178	11	.	.	PUNCT
ispiv-190	179	1	quivers	quiver	NOUN
ispiv-190	179	2	indicate	indicate	VERB
ispiv-190	179	3	the	the	DET
ispiv-190	179	4	direction	direction	NOUN
ispiv-190	179	5	of	of	ADP
ispiv-190	179	6	the	the	DET
ispiv-190	179	7	flow	flow	NOUN
ispiv-190	179	8	field	field	NOUN
ispiv-190	179	9	and	and	CCONJ
ispiv-190	179	10	particles	particle	NOUN
ispiv-190	179	11	are	be	AUX
ispiv-190	179	12	colored	color	VERB
ispiv-190	179	13	by	by	ADP
ispiv-190	179	14	the	the	DET
ispiv-190	179	15	amplitude	amplitude	NOUN
ispiv-190	179	16	of	of	ADP
ispiv-190	179	17	the	the	DET
ispiv-190	179	18	velocity	velocity	NOUN
ispiv-190	179	19	.	.	PUNCT
ispiv-190	180	1	particles	particle	NOUN
ispiv-190	180	2	are	be	AUX
ispiv-190	180	3	down	down	ADV
ispiv-190	180	4	-	-	PUNCT
ispiv-190	180	5	sampled	sample	VERB
ispiv-190	180	6	to	to	ADP
ispiv-190	180	7	25	25	NUM
ispiv-190	180	8	%	%	NOUN
ispiv-190	180	9	of	of	ADP
ispiv-190	180	10	the	the	DET
ispiv-190	180	11	actual	actual	ADJ
ispiv-190	180	12	seeding	seed	VERB
ispiv-190	180	13	density	density	NOUN
ispiv-190	180	14	for	for	ADP
ispiv-190	180	15	clear	clear	ADJ
ispiv-190	180	16	illustration	illustration	NOUN
ispiv-190	180	17	.	.	PUNCT
ispiv-190	181	1	(	(	PUNCT
ispiv-190	181	2	b	b	X
ispiv-190	181	3	)	)	PUNCT
ispiv-190	181	4	ground	ground	NOUN
ispiv-190	181	5	truth	truth	NOUN
ispiv-190	181	6	of	of	ADP
ispiv-190	181	7	vorticity	vorticity	NOUN
ispiv-190	181	8	,	,	PUNCT
ispiv-190	181	9	colored	color	VERB
ispiv-190	181	10	at	at	ADP
ispiv-190	181	11	each	each	DET
ispiv-190	181	12	particle	particle	NOUN
ispiv-190	181	13	.	.	PUNCT
ispiv-190	182	1	computed	compute	VERB
ispiv-190	182	2	vorticity	vorticity	NOUN
ispiv-190	182	3	based	base	VERB
ispiv-190	182	4	on	on	ADP
ispiv-190	182	5	the	the	DET
ispiv-190	182	6	simulated	simulate	VERB
ispiv-190	182	7	ptv	ptv	PROPN
ispiv-190	182	8	data	datum	NOUN
ispiv-190	182	9	without	without	ADP
ispiv-190	182	10	noise	noise	NOUN
ispiv-190	182	11	contamination	contamination	NOUN
ispiv-190	182	12	using	use	VERB
ispiv-190	182	13	the	the	DET
ispiv-190	182	14	baseline	baseline	ADJ
ispiv-190	182	15	algorithm	algorithm	NOUN
ispiv-190	182	16	(	(	PUNCT
ispiv-190	182	17	c1	c1	PROPN
ispiv-190	182	18	)	)	PUNCT
ispiv-190	182	19	and	and	CCONJ
ispiv-190	182	20	our	our	PRON
ispiv-190	182	21	three	three	NUM
ispiv-190	182	22	-	-	PUNCT
ispiv-190	182	23	step	step	NOUN
ispiv-190	182	24	method	method	NOUN
ispiv-190	182	25	(	(	PUNCT
ispiv-190	182	26	c2	c2	PROPN
ispiv-190	182	27	)	)	PUNCT
ispiv-190	182	28	.	.	PUNCT
ispiv-190	183	1	computed	compute	VERB
ispiv-190	183	2	vorticity	vorticity	NOUN
ispiv-190	183	3	based	base	VERB
ispiv-190	183	4	on	on	ADP
ispiv-190	183	5	the	the	DET
ispiv-190	183	6	simulated	simulate	VERB
ispiv-190	183	7	ptv	ptv	PROPN
ispiv-190	183	8	data	datum	NOUN
ispiv-190	183	9	with	with	ADP
ispiv-190	183	10	artificial	artificial	ADJ
ispiv-190	183	11	noise	noise	NOUN
ispiv-190	183	12	introduced	introduce	VERB
ispiv-190	183	13	,	,	PUNCT
ispiv-190	183	14	using	use	VERB
ispiv-190	183	15	the	the	DET
ispiv-190	183	16	baseline	baseline	ADJ
ispiv-190	183	17	algorithm	algorithm	NOUN
ispiv-190	183	18	(	(	PUNCT
ispiv-190	183	19	c3	c3	PROPN
ispiv-190	183	20	)	)	PUNCT
ispiv-190	183	21	and	and	CCONJ
ispiv-190	183	22	our	our	PRON
ispiv-190	183	23	three	three	NUM
ispiv-190	183	24	-	-	PUNCT
ispiv-190	183	25	step	step	NOUN
ispiv-190	183	26	method	method	NOUN
ispiv-190	183	27	(	(	PUNCT
ispiv-190	183	28	c4	c4	NOUN
ispiv-190	183	29	)	)	PUNCT
ispiv-190	183	30	.	.	PUNCT
ispiv-190	184	1	(	(	PUNCT
ispiv-190	184	2	d1	d1	NOUN
ispiv-190	184	3	–	–	PUNCT
ispiv-190	184	4	d4	d4	NOUN
ispiv-190	184	5	)	)	PUNCT
ispiv-190	184	6	relative	relative	ADJ
ispiv-190	184	7	error	error	NOUN
ispiv-190	184	8	in	in	ADP
ispiv-190	184	9	the	the	DET
ispiv-190	184	10	computed	computed	ADJ
ispiv-190	184	11	vorticity	vorticity	NOUN
ispiv-190	184	12	,	,	PUNCT
ispiv-190	184	13	corresponding	correspond	VERB
ispiv-190	184	14	to	to	ADP
ispiv-190	184	15	c1	c1	PROPN
ispiv-190	184	16	–	–	PUNCT
ispiv-190	184	17	c4	c4	NOUN
ispiv-190	184	18	,	,	PUNCT
ispiv-190	184	19	respectively	respectively	ADV
ispiv-190	184	20	.	.	PUNCT
ispiv-190	185	1	only	only	ADV
ispiv-190	185	2	particles	particle	NOUN
ispiv-190	185	3	with	with	ADP
ispiv-190	185	4	error	error	NOUN
ispiv-190	185	5	in	in	ADP
ispiv-190	185	6	vorticity	vorticity	NOUN
ispiv-190	185	7	higher	high	ADJ
ispiv-190	185	8	than	than	ADP
ispiv-190	185	9	20	20	NUM
ispiv-190	185	10	%	%	NOUN
ispiv-190	185	11	are	be	AUX
ispiv-190	185	12	shown	show	VERB
ispiv-190	185	13	.	.	PUNCT
ispiv-190	186	1	(	(	PUNCT
ispiv-190	186	2	e1	e1	PROPN
ispiv-190	186	3	–	–	PUNCT
ispiv-190	186	4	e4	e4	PROPN
ispiv-190	186	5	)	)	PUNCT
ispiv-190	186	6	histogram	histogram	NOUN
ispiv-190	186	7	of	of	ADP
ispiv-190	186	8	relative	relative	ADJ
ispiv-190	186	9	error	error	NOUN
ispiv-190	186	10	in	in	ADP
ispiv-190	186	11	the	the	DET
ispiv-190	186	12	computed	computed	ADJ
ispiv-190	186	13	vorticity	vorticity	NOUN
ispiv-190	186	14	,	,	PUNCT
ispiv-190	186	15	corresponding	correspond	VERB
ispiv-190	186	16	to	to	ADP
ispiv-190	186	17	d1	d1	NOUN
ispiv-190	186	18	–	–	PUNCT
ispiv-190	186	19	d4	d4	PROPN
ispiv-190	186	20	.	.	PUNCT
ispiv-190	187	1	the	the	DET
ispiv-190	187	2	vertical	vertical	ADJ
ispiv-190	187	3	magenta	magenta	NOUN
ispiv-190	187	4	and	and	CCONJ
ispiv-190	187	5	blue	blue	ADJ
ispiv-190	187	6	dashed	dash	VERB
ispiv-190	187	7	lines	line	NOUN
ispiv-190	187	8	indicate	indicate	VERB
ispiv-190	187	9	the	the	DET
ispiv-190	187	10	median	median	NOUN
ispiv-190	187	11	and	and	CCONJ
ispiv-190	187	12	+2	+2	ADP
ispiv-190	187	13	standard	standard	ADJ
ispiv-190	187	14	deviation	deviation	NOUN
ispiv-190	187	15	above	above	ADP
ispiv-190	187	16	the	the	DET
ispiv-190	187	17	mean	mean	NOUN
ispiv-190	187	18	,	,	PUNCT
ispiv-190	187	19	respectively	respectively	ADV
ispiv-190	187	20	.	.	PUNCT
ispiv-190	188	1	values	value	NOUN
ispiv-190	188	2	of	of	ADP
ispiv-190	188	3	the	the	DET
ispiv-190	188	4	relative	relative	ADJ
ispiv-190	188	5	error	error	NOUN
ispiv-190	188	6	are	be	AUX
ispiv-190	188	7	0.52	0.52	NUM
ispiv-190	188	8	%	%	NOUN
ispiv-190	188	9	and	and	CCONJ
ispiv-190	188	10	0.24	0.24	NUM
ispiv-190	188	11	%	%	NOUN
ispiv-190	188	12	,	,	PUNCT
ispiv-190	188	13	as	as	SCONJ
ispiv-190	188	14	shown	show	VERB
ispiv-190	188	15	in	in	ADP
ispiv-190	188	16	fig	fig	NOUN
ispiv-190	188	17	.	.	PUNCT
ispiv-190	189	1	3(e1	3(e1	NUM
ispiv-190	189	2	and	and	CCONJ
ispiv-190	189	3	e2	e2	PROPN
ispiv-190	189	4	)	)	PUNCT
ispiv-190	189	5	,	,	PUNCT
ispiv-190	189	6	respectively	respectively	ADV
ispiv-190	189	7	.	.	PUNCT
ispiv-190	190	1	however	however	ADV
ispiv-190	190	2	,	,	PUNCT
ispiv-190	190	3	when	when	SCONJ
ispiv-190	190	4	the	the	DET
ispiv-190	190	5	velocity	velocity	NOUN
ispiv-190	190	6	is	be	AUX
ispiv-190	190	7	slightly	slightly	ADV
ispiv-190	190	8	contaminated	contaminate	VERB
ispiv-190	190	9	by	by	ADP
ispiv-190	190	10	random	random	ADJ
ispiv-190	190	11	noise	noise	NOUN
ispiv-190	190	12	,	,	PUNCT
ispiv-190	190	13	our	our	PRON
ispiv-190	190	14	method	method	NOUN
ispiv-190	190	15	is	be	AUX
ispiv-190	190	16	significantly	significantly	ADV
ispiv-190	190	17	more	more	ADV
ispiv-190	190	18	robust	robust	ADJ
ispiv-190	190	19	.	.	PUNCT
ispiv-190	191	1	we	we	PRON
ispiv-190	191	2	next	next	ADV
ispiv-190	191	3	validate	validate	VERB
ispiv-190	191	4	the	the	DET
ispiv-190	191	5	algorithm	algorithm	NOUN
ispiv-190	191	6	in	in	ADP
ispiv-190	191	7	3d	3d	NUM
ispiv-190	191	8	with	with	ADP
ispiv-190	191	9	the	the	DET
ispiv-190	191	10	simulated	simulate	VERB
ispiv-190	191	11	data	datum	NOUN
ispiv-190	191	12	on	on	ADP
ispiv-190	191	13	a	a	DET
ispiv-190	191	14	cropped	cropped	ADJ
ispiv-190	191	15	domain	domain	NOUN
ispiv-190	191	16	,	,	PUNCT
ispiv-190	191	17	x×y×	x×y×	PROPN
ispiv-190	191	18	z	z	PROPN
ispiv-190	191	19	∈	∈	PROPN
ispiv-190	192	1	[	[	X
ispiv-190	192	2	−π,0]×	−π,0]×	NOUN
ispiv-190	192	3	[	[	X
ispiv-190	192	4	−π,0]×	−π,0]×	PROPN
ispiv-190	193	1	[	[	X
ispiv-190	193	2	−π,−0.75π	−π,−0.75π	X
ispiv-190	193	3	]	]	X
ispiv-190	193	4	,	,	PUNCT
ispiv-190	193	5	of	of	ADP
ispiv-190	193	6	the	the	DET
ispiv-190	193	7	dns	dns	NOUN
ispiv-190	193	8	result	result	NOUN
ispiv-190	193	9	.	.	PUNCT
ispiv-190	194	1	noise	noise	NOUN
ispiv-190	194	2	contaminated	contaminate	VERB
ispiv-190	194	3	velocity	velocity	NOUN
ispiv-190	194	4	field	field	NOUN
ispiv-190	194	5	at	at	ADP
ispiv-190	194	6	2×	2×	NUM
ispiv-190	194	7	104	104	NUM
ispiv-190	194	8	randomly	randomly	ADV
ispiv-190	194	9	distributed	distribute	VERB
ispiv-190	194	10	particles	particle	NOUN
ispiv-190	194	11	in	in	ADP
ispiv-190	194	12	the	the	DET
ispiv-190	194	13	domain	domain	NOUN
ispiv-190	194	14	is	be	AUX
ispiv-190	194	15	used	use	VERB
ispiv-190	194	16	to	to	PART
ispiv-190	194	17	reconstruct	reconstruct	VERB
ispiv-190	194	18	strain	strain	NOUN
ispiv-190	194	19	-	-	PUNCT
ispiv-190	194	20	rate	rate	NOUN
ispiv-190	194	21	tensor	tensor	NOUN
ispiv-190	194	22	(	(	PUNCT
ispiv-190	194	23	s̃i	s̃i	PROPN
ispiv-190	194	24	j	j	PROPN
ispiv-190	194	25	,	,	PUNCT
ispiv-190	194	26	fig	fig	NOUN
ispiv-190	194	27	.	.	PUNCT
ispiv-190	195	1	4(b	4(b	NUM
ispiv-190	195	2	)	)	PUNCT
ispiv-190	195	3	)	)	PUNCT
ispiv-190	196	1	and	and	CCONJ
ispiv-190	196	2	rotation	rotation	NOUN
ispiv-190	196	3	-	-	PUNCT
ispiv-190	196	4	rate	rate	NOUN
ispiv-190	196	5	tensor	tensor	NOUN
ispiv-190	196	6	(	(	PUNCT
ispiv-190	196	7	r̃i	r̃i	PROPN
ispiv-190	196	8	j	j	PROPN
ispiv-190	196	9	,	,	PUNCT
ispiv-190	196	10	fig	fig	NOUN
ispiv-190	196	11	.	.	PUNCT
ispiv-190	197	1	5(b	5(b	NUM
ispiv-190	197	2	)	)	PUNCT
ispiv-190	197	3	)	)	PUNCT
ispiv-190	197	4	.	.	PUNCT
ispiv-190	198	1	the	the	DET
ispiv-190	198	2	velocity	velocity	NOUN
ispiv-190	198	3	gradient	gradient	NOUN
ispiv-190	198	4	tensor	tensor	NOUN
ispiv-190	198	5	in	in	ADP
ispiv-190	198	6	3d	3d	PROPN
ispiv-190	198	7	is	be	AUX
ispiv-190	198	8	ui	ui	PROPN
ispiv-190	198	9	,	,	PUNCT
ispiv-190	198	10	j	j	PROPN
ispiv-190	199	1	=	=	PUNCT
ispiv-190	199	2	∂ui/∂x	∂ui/∂x	NOUN
ispiv-190	199	3	j	j	PROPN
ispiv-190	199	4	,	,	PUNCT
ispiv-190	199	5	where	where	SCONJ
ispiv-190	199	6	ui	ui	PROPN
ispiv-190	199	7	,	,	PUNCT
ispiv-190	199	8	i	i	PRON
ispiv-190	199	9	=	=	NOUN
ispiv-190	200	1	1,2,3	1,2,3	NUM
ispiv-190	200	2	are	be	AUX
ispiv-190	200	3	the	the	DET
ispiv-190	200	4	velocity	velocity	NOUN
ispiv-190	200	5	components	component	NOUN
ispiv-190	200	6	,	,	PUNCT
ispiv-190	200	7	and	and	CCONJ
ispiv-190	200	8	x	x	PROPN
ispiv-190	200	9	j	j	PROPN
ispiv-190	200	10	,	,	PUNCT
ispiv-190	200	11	j	j	PROPN
ispiv-190	201	1	=	=	SYM
ispiv-190	201	2	1,2,3	1,2,3	NUM
ispiv-190	201	3	are	be	AUX
ispiv-190	201	4	the	the	DET
ispiv-190	201	5	cartesian	cartesian	ADJ
ispiv-190	201	6	coordinates	coordinate	NOUN
ispiv-190	201	7	,	,	PUNCT
ispiv-190	201	8	which	which	PRON
ispiv-190	201	9	can	can	AUX
ispiv-190	201	10	be	be	AUX
ispiv-190	201	11	directly	directly	ADV
ispiv-190	201	12	evaluated	evaluate	VERB
ispiv-190	201	13	at	at	ADP
ispiv-190	201	14	each	each	DET
ispiv-190	201	15	particles	particle	NOUN
ispiv-190	201	16	using	use	VERB
ispiv-190	201	17	our	our	PRON
ispiv-190	201	18	method	method	NOUN
ispiv-190	201	19	.	.	PUNCT
ispiv-190	202	1	ui	ui	PROPN
ispiv-190	202	2	,	,	PUNCT
ispiv-190	202	3	j	j	PROPN
ispiv-190	202	4	can	can	AUX
ispiv-190	202	5	be	be	AUX
ispiv-190	202	6	decomposed	decompose	VERB
ispiv-190	202	7	into	into	ADP
ispiv-190	202	8	symmetric	symmetric	ADJ
ispiv-190	202	9	and	and	CCONJ
ispiv-190	202	10	anti	anti	ADJ
ispiv-190	202	11	-	-	ADJ
ispiv-190	202	12	symmetric	symmetric	ADJ
ispiv-190	202	13	parts	part	NOUN
ispiv-190	202	14	(	(	PUNCT
ispiv-190	202	15	blazek	blazek	NOUN
ispiv-190	202	16	,	,	PUNCT
ispiv-190	202	17	2015	2015	NUM
ispiv-190	202	18	)	)	PUNCT
ispiv-190	202	19	as	as	SCONJ
ispiv-190	202	20	follows	follow	VERB
ispiv-190	202	21	:	:	PUNCT
ispiv-190	202	22	ui	ui	PROPN
ispiv-190	202	23	,	,	PUNCT
ispiv-190	202	24	j	j	PROPN
ispiv-190	202	25	=	=	SYM
ispiv-190	202	26	1	1	NUM
ispiv-190	202	27	2(ui	2(ui	NUM
ispiv-190	202	28	,	,	PUNCT
ispiv-190	202	29	j	j	PROPN
ispiv-190	203	1	+	+	CCONJ
ispiv-190	203	2	u	u	PROPN
ispiv-190	203	3	j	j	PROPN
ispiv-190	203	4	,	,	PUNCT
ispiv-190	203	5	i)+	i)+	PROPN
ispiv-190	203	6	1	1	NUM
ispiv-190	203	7	2(ui	2(ui	NUM
ispiv-190	203	8	,	,	PUNCT
ispiv-190	203	9	j−	j−	VERB
ispiv-190	203	10	u	u	PROPN
ispiv-190	203	11	j	j	PROPN
ispiv-190	203	12	,	,	PUNCT
ispiv-190	203	13	i	i	PROPN
ispiv-190	203	14	)	)	PUNCT
ispiv-190	203	15	.	.	PUNCT
ispiv-190	204	1	the	the	DET
ispiv-190	204	2	first	first	ADJ
ispiv-190	204	3	part	part	NOUN
ispiv-190	204	4	is	be	AUX
ispiv-190	204	5	strain	strain	NOUN
ispiv-190	204	6	-	-	PUNCT
ispiv-190	204	7	rate	rate	NOUN
ispiv-190	204	8	tensor	tensor	NOUN
ispiv-190	204	9	si	si	PROPN
ispiv-190	204	10	j	j	PROPN
ispiv-190	204	11	=	=	SYM
ispiv-190	204	12	1	1	NUM
ispiv-190	204	13	2(ui	2(ui	NUM
ispiv-190	204	14	,	,	PUNCT
ispiv-190	204	15	j	j	PROPN
ispiv-190	205	1	+	+	CCONJ
ispiv-190	205	2	u	u	PROPN
ispiv-190	205	3	j	j	PROPN
ispiv-190	205	4	,	,	PUNCT
ispiv-190	205	5	i	i	PROPN
ispiv-190	205	6	)	)	PUNCT
ispiv-190	205	7	and	and	CCONJ
ispiv-190	205	8	the	the	DET
ispiv-190	205	9	second	second	ADJ
ispiv-190	205	10	part	part	NOUN
ispiv-190	205	11	is	be	AUX
ispiv-190	205	12	rotation	rotation	NOUN
ispiv-190	205	13	-	-	PUNCT
ispiv-190	205	14	rate	rate	NOUN
ispiv-190	205	15	tensor	tensor	NOUN
ispiv-190	205	16	ri	ri	PROPN
ispiv-190	205	17	j	j	PROPN
ispiv-190	205	18	=	=	SYM
ispiv-190	205	19	1	1	NUM
ispiv-190	205	20	2(ui	2(ui	NUM
ispiv-190	205	21	,	,	PUNCT
ispiv-190	205	22	j−u	j−u	PROPN
ispiv-190	205	23	j	j	PROPN
ispiv-190	205	24	,	,	PUNCT
ispiv-190	205	25	i	i	PROPN
ispiv-190	205	26	)	)	PUNCT
ispiv-190	205	27	.	.	PUNCT
ispiv-190	206	1	compared	compare	VERB
ispiv-190	206	2	to	to	ADP
ispiv-190	206	3	the	the	DET
ispiv-190	206	4	ground	ground	NOUN
ispiv-190	206	5	truth	truth	NOUN
ispiv-190	206	6	(	(	PUNCT
ispiv-190	206	7	fig	fig	NOUN
ispiv-190	206	8	.	.	PUNCT
ispiv-190	206	9	4(a	4(a	NUM
ispiv-190	206	10	)	)	PUNCT
ispiv-190	206	11	for	for	ADP
ispiv-190	206	12	si	si	PROPN
ispiv-190	206	13	j	j	PROPN
ispiv-190	206	14	)	)	PUNCT
ispiv-190	206	15	against	against	ADP
ispiv-190	206	16	the	the	DET
ispiv-190	206	17	computed	compute	VERB
ispiv-190	206	18	values	value	NOUN
ispiv-190	206	19	from	from	ADP
ispiv-190	206	20	noisy	noisy	ADJ
ispiv-190	206	21	ptv	ptv	PROPN
ispiv-190	206	22	data	datum	NOUN
ispiv-190	206	23	(	(	PUNCT
ispiv-190	206	24	fig	fig	NOUN
ispiv-190	206	25	.	.	PUNCT
ispiv-190	206	26	4(b	4(b	NUM
ispiv-190	206	27	)	)	PUNCT
ispiv-190	206	28	for	for	ADP
ispiv-190	206	29	s̃i	s̃i	PROPN
ispiv-190	206	30	j	j	PROPN
ispiv-190	206	31	)	)	PUNCT
ispiv-190	206	32	.	.	PUNCT
ispiv-190	207	1	the	the	DET
ispiv-190	207	2	median	median	ADJ
ispiv-190	207	3	values	value	NOUN
ispiv-190	207	4	of	of	ADP
ispiv-190	207	5	relative	relative	ADJ
ispiv-190	207	6	error	error	NOUN
ispiv-190	207	7	in	in	ADP
ispiv-190	207	8	s̃i	s̃i	PROPN
ispiv-190	207	9	j	j	PROPN
ispiv-190	207	10	are	be	AUX
ispiv-190	207	11	less	less	ADJ
ispiv-190	207	12	than	than	ADP
ispiv-190	207	13	2	2	NUM
ispiv-190	207	14	%	%	NOUN
ispiv-190	207	15	and	and	CCONJ
ispiv-190	207	16	two	two	NUM
ispiv-190	207	17	standard	standard	ADJ
ispiv-190	207	18	deviations	deviation	NOUN
ispiv-190	207	19	above	above	ADP
ispiv-190	207	20	average	average	NOUN
ispiv-190	207	21	of	of	ADP
ispiv-190	207	22	are	be	AUX
ispiv-190	207	23	less	less	ADJ
ispiv-190	207	24	than	than	ADP
ispiv-190	207	25	about	about	ADP
ispiv-190	207	26	20	20	NUM
ispiv-190	207	27	%	%	NOUN
ispiv-190	207	28	.	.	PUNCT
ispiv-190	208	1	therefore	therefore	ADV
ispiv-190	208	2	,	,	PUNCT
ispiv-190	208	3	our	our	PRON
ispiv-190	208	4	method	method	NOUN
ispiv-190	208	5	can	can	AUX
ispiv-190	208	6	compute	compute	VERB
ispiv-190	208	7	the	the	DET
ispiv-190	208	8	gradients	gradient	NOUN
ispiv-190	208	9	and	and	CCONJ
ispiv-190	208	10	the	the	DET
ispiv-190	208	11	tensor	tensor	NOUN
ispiv-190	208	12	with	with	ADP
ispiv-190	208	13	robustness	robustness	NOUN
ispiv-190	208	14	and	and	CCONJ
ispiv-190	208	15	sufficient	sufficient	ADJ
ispiv-190	208	16	accuracy	accuracy	NOUN
ispiv-190	208	17	.	.	PUNCT
ispiv-190	209	1	the	the	DET
ispiv-190	209	2	flow	flow	NOUN
ispiv-190	209	3	structures	structure	NOUN
ispiv-190	209	4	are	be	AUX
ispiv-190	209	5	well	well	ADV
ispiv-190	209	6	visualized	visualize	VERB
ispiv-190	209	7	with	with	ADP
ispiv-190	209	8	the	the	DET
ispiv-190	209	9	iso	iso	NOUN
ispiv-190	209	10	-	-	PUNCT
ispiv-190	209	11	surfaces	surface	NOUN
ispiv-190	209	12	.	.	PUNCT
ispiv-190	210	1	figure	figure	NOUN
ispiv-190	210	2	5	5	NUM
ispiv-190	210	3	shows	show	VERB
ispiv-190	210	4	the	the	DET
ispiv-190	210	5	ground	ground	NOUN
ispiv-190	210	6	truth	truth	NOUN
ispiv-190	210	7	(	(	PUNCT
ispiv-190	210	8	ri	ri	PROPN
ispiv-190	210	9	j	j	PROPN
ispiv-190	210	10	,	,	PUNCT
ispiv-190	210	11	fig	fig	NOUN
ispiv-190	210	12	.	.	PUNCT
ispiv-190	211	1	5(a	5(a	NUM
ispiv-190	211	2	)	)	PUNCT
ispiv-190	211	3	)	)	PUNCT
ispiv-190	211	4	of	of	ADP
ispiv-190	211	5	the	the	DET
ispiv-190	211	6	rotation	rotation	NOUN
ispiv-190	211	7	-	-	PUNCT
ispiv-190	211	8	rate	rate	NOUN
ispiv-190	211	9	tensor	tensor	NOUN
ispiv-190	211	10	and	and	CCONJ
ispiv-190	211	11	the	the	DET
ispiv-190	211	12	computed	compute	VERB
ispiv-190	211	13	results	result	NOUN
ispiv-190	211	14	(	(	PUNCT
ispiv-190	211	15	r̃i	r̃i	ADP
ispiv-190	211	16	j	j	PROPN
ispiv-190	211	17	,	,	PUNCT
ispiv-190	211	18	fig	fig	NOUN
ispiv-190	211	19	.	.	PUNCT
ispiv-190	212	1	5(b	5(b	NUM
ispiv-190	212	2	)	)	PUNCT
ispiv-190	212	3	)	)	PUNCT
ispiv-190	212	4	.	.	PUNCT
ispiv-190	213	1	noting	note	VERB
ispiv-190	213	2	that	that	SCONJ
ispiv-190	213	3	ri	ri	PROPN
ispiv-190	213	4	j	j	PROPN
ispiv-190	213	5	=	=	PROPN
ispiv-190	213	6	−r	−r	PROPN
ispiv-190	213	7	ji	ji	PROPN
ispiv-190	213	8	,	,	PUNCT
ispiv-190	213	9	the	the	DET
ispiv-190	213	10	iso	iso	NOUN
ispiv-190	213	11	-	-	PUNCT
ispiv-190	213	12	surfaces	surface	NOUN
ispiv-190	213	13	in	in	ADP
ispiv-190	213	14	fig	fig	NOUN
ispiv-190	213	15	.	.	PUNCT
ispiv-190	214	1	5(a	5(a	NUM
ispiv-190	214	2	)	)	PUNCT
ispiv-190	214	3	and	and	CCONJ
ispiv-190	214	4	fig	fig	NOUN
ispiv-190	214	5	.	.	PUNCT
ispiv-190	215	1	5(b	5(b	X
ispiv-190	215	2	)	)	PUNCT
ispiv-190	215	3	have	have	VERB
ispiv-190	215	4	the	the	DET
ispiv-190	215	5	almost	almost	ADV
ispiv-190	215	6	the	the	DET
ispiv-190	215	7	same	same	ADJ
ispiv-190	215	8	shape	shape	NOUN
ispiv-190	215	9	for	for	ADP
ispiv-190	215	10	the	the	DET
ispiv-190	215	11	corresponding	corresponding	ADJ
ispiv-190	215	12	components	component	NOUN
ispiv-190	215	13	,	,	PUNCT
ispiv-190	215	14	but	but	CCONJ
ispiv-190	215	15	with	with	ADP
ispiv-190	215	16	reversed	reverse	VERB
ispiv-190	215	17	color	color	NOUN
ispiv-190	215	18	.	.	PUNCT
ispiv-190	216	1	the	the	DET
ispiv-190	216	2	relative	relative	ADJ
ispiv-190	216	3	error	error	NOUN
ispiv-190	216	4	in	in	ADP
ispiv-190	216	5	r̃i	r̃i	PROPN
ispiv-190	216	6	j	j	PROPN
ispiv-190	216	7	,	,	PUNCT
ispiv-190	216	8	as	as	ADP
ispiv-190	216	9	examples	example	NOUN
ispiv-190	216	10	,	,	PUNCT
ispiv-190	216	11	are	be	AUX
ispiv-190	216	12	summarized	summarize	VERB
ispiv-190	216	13	in	in	ADP
ispiv-190	216	14	fig	fig	NOUN
ispiv-190	216	15	.	.	PUNCT
ispiv-190	217	1	5(c1	5(c1	NUM
ispiv-190	217	2	–	–	PUNCT
ispiv-190	217	3	c3	c3	NOUN
ispiv-190	217	4	)	)	PUNCT
ispiv-190	217	5	.	.	PUNCT
ispiv-190	218	1	the	the	DET
ispiv-190	218	2	median	median	NOUN
ispiv-190	218	3	of	of	ADP
ispiv-190	218	4	the	the	DET
ispiv-190	218	5	relative	relative	ADJ
ispiv-190	218	6	error	error	NOUN
ispiv-190	218	7	is	be	AUX
ispiv-190	218	8	around	around	ADV
ispiv-190	218	9	2	2	NUM
ispiv-190	218	10	%	%	NOUN
ispiv-190	218	11	and	and	CCONJ
ispiv-190	218	12	two	two	NUM
ispiv-190	218	13	standard	standard	ADJ
ispiv-190	218	14	deviation	deviation	NOUN
ispiv-190	218	15	above	above	ADP
ispiv-190	218	16	average	average	NOUN
ispiv-190	218	17	of	of	ADP
ispiv-190	218	18	the	the	DET
ispiv-190	218	19	error	error	NOUN
ispiv-190	218	20	is	be	AUX
ispiv-190	218	21	less	less	ADJ
ispiv-190	218	22	than	than	ADP
ispiv-190	218	23	15	15	NUM
ispiv-190	218	24	%	%	NOUN
ispiv-190	218	25	.	.	PUNCT
ispiv-190	219	1	figure	figure	VERB
ispiv-190	219	2	4	4	NUM
ispiv-190	219	3	:	:	PUNCT
ispiv-190	219	4	visualization	visualization	NOUN
ispiv-190	219	5	of	of	ADP
ispiv-190	219	6	the	the	DET
ispiv-190	219	7	strain	strain	ADJ
ispiv-190	219	8	-	-	PUNCT
ispiv-190	219	9	rate	rate	NOUN
ispiv-190	219	10	tensor	tensor	NOUN
ispiv-190	219	11	(	(	PUNCT
ispiv-190	219	12	si	si	PROPN
ispiv-190	219	13	j	j	PROPN
ispiv-190	219	14	)	)	PUNCT
ispiv-190	219	15	of	of	ADP
ispiv-190	219	16	a	a	DET
ispiv-190	219	17	3d	3d	NUM
ispiv-190	219	18	turbulent	turbulent	ADJ
ispiv-190	219	19	flow	flow	NOUN
ispiv-190	219	20	.	.	PUNCT
ispiv-190	220	1	(	(	PUNCT
ispiv-190	220	2	a	a	X
ispiv-190	220	3	)	)	PUNCT
ispiv-190	220	4	lower	low	ADJ
ispiv-190	220	5	six	six	NUM
ispiv-190	220	6	components	component	NOUN
ispiv-190	220	7	of	of	ADP
ispiv-190	220	8	the	the	DET
ispiv-190	220	9	strain	strain	ADJ
ispiv-190	220	10	-	-	PUNCT
ispiv-190	220	11	rate	rate	NOUN
ispiv-190	220	12	tensor	tensor	NOUN
ispiv-190	220	13	(	(	PUNCT
ispiv-190	220	14	si	si	PROPN
ispiv-190	220	15	j	j	PROPN
ispiv-190	220	16	,	,	PUNCT
ispiv-190	220	17	i	i	PRON
ispiv-190	220	18	≥	≥	PROPN
ispiv-190	220	19	j	j	NOUN
ispiv-190	220	20	)	)	PUNCT
ispiv-190	220	21	,	,	PUNCT
ispiv-190	220	22	ground	ground	NOUN
ispiv-190	220	23	truth	truth	NOUN
ispiv-190	220	24	from	from	ADP
ispiv-190	220	25	dns	dns	PROPN
ispiv-190	220	26	.	.	PUNCT
ispiv-190	221	1	(	(	PUNCT
ispiv-190	221	2	b	b	X
ispiv-190	221	3	)	)	PUNCT
ispiv-190	221	4	upper	upper	ADJ
ispiv-190	221	5	six	six	NUM
ispiv-190	221	6	components	component	NOUN
ispiv-190	221	7	of	of	ADP
ispiv-190	221	8	strain	strain	NOUN
ispiv-190	221	9	-	-	PUNCT
ispiv-190	221	10	rate	rate	NOUN
ispiv-190	221	11	tensor	tensor	NOUN
ispiv-190	221	12	,	,	PUNCT
ispiv-190	221	13	s̃i	s̃i	PROPN
ispiv-190	221	14	j	j	PROPN
ispiv-190	221	15	,	,	PUNCT
ispiv-190	221	16	i	i	PROPN
ispiv-190	221	17	≤	≤	PROPN
ispiv-190	221	18	j	j	PROPN
ispiv-190	221	19	,	,	PUNCT
ispiv-190	221	20	computed	compute	VERB
ispiv-190	221	21	from	from	ADP
ispiv-190	221	22	simulated	simulated	ADJ
ispiv-190	221	23	ptv	ptv	PROPN
ispiv-190	221	24	data	datum	NOUN
ispiv-190	221	25	with	with	ADP
ispiv-190	221	26	artificial	artificial	ADJ
ispiv-190	221	27	noise	noise	NOUN
ispiv-190	221	28	introduced	introduce	VERB
ispiv-190	221	29	in	in	ADP
ispiv-190	221	30	the	the	DET
ispiv-190	221	31	velocity	velocity	NOUN
ispiv-190	221	32	field	field	NOUN
ispiv-190	221	33	.	.	PUNCT
ispiv-190	222	1	(	(	PUNCT
ispiv-190	222	2	a	a	X
ispiv-190	222	3	)	)	PUNCT
ispiv-190	222	4	and	and	CCONJ
ispiv-190	222	5	(	(	PUNCT
ispiv-190	222	6	b	b	X
ispiv-190	222	7	)	)	PUNCT
ispiv-190	222	8	are	be	AUX
ispiv-190	222	9	separated	separate	VERB
ispiv-190	222	10	by	by	ADP
ispiv-190	222	11	the	the	DET
ispiv-190	222	12	blue	blue	ADJ
ispiv-190	222	13	dashed	dash	VERB
ispiv-190	222	14	line	line	NOUN
ispiv-190	222	15	.	.	PUNCT
ispiv-190	223	1	the	the	DET
ispiv-190	223	2	surface	surface	NOUN
ispiv-190	223	3	iso	iso	NOUN
ispiv-190	223	4	-	-	PUNCT
ispiv-190	223	5	values	value	NOUN
ispiv-190	223	6	are	be	AUX
ispiv-190	223	7	+0.3	+0.3	ADJ
ispiv-190	223	8	for	for	ADP
ispiv-190	223	9	red	red	ADJ
ispiv-190	223	10	and	and	CCONJ
ispiv-190	223	11	−0.3	−0.3	PROPN
ispiv-190	223	12	for	for	ADP
ispiv-190	223	13	blue	blue	ADJ
ispiv-190	223	14	.	.	PUNCT
ispiv-190	224	1	figure	figure	VERB
ispiv-190	224	2	5	5	NUM
ispiv-190	224	3	:	:	PUNCT
ispiv-190	224	4	visualization	visualization	NOUN
ispiv-190	224	5	of	of	ADP
ispiv-190	224	6	the	the	DET
ispiv-190	224	7	rotation	rotation	NOUN
ispiv-190	224	8	-	-	PUNCT
ispiv-190	224	9	rate	rate	NOUN
ispiv-190	224	10	tensor	tensor	NOUN
ispiv-190	224	11	(	(	PUNCT
ispiv-190	224	12	ri	ri	PROPN
ispiv-190	224	13	j	j	PROPN
ispiv-190	224	14	)	)	PUNCT
ispiv-190	224	15	of	of	ADP
ispiv-190	224	16	a	a	DET
ispiv-190	224	17	3d	3d	NUM
ispiv-190	224	18	turbulent	turbulent	ADJ
ispiv-190	224	19	flow	flow	NOUN
ispiv-190	224	20	.	.	PUNCT
ispiv-190	225	1	(	(	PUNCT
ispiv-190	225	2	a	a	X
ispiv-190	225	3	)	)	PUNCT
ispiv-190	225	4	lower	low	ADJ
ispiv-190	225	5	three	three	NUM
ispiv-190	225	6	components	component	NOUN
ispiv-190	225	7	of	of	ADP
ispiv-190	225	8	rotation	rotation	NOUN
ispiv-190	225	9	-	-	PUNCT
ispiv-190	225	10	rate	rate	NOUN
ispiv-190	225	11	tensor	tensor	NOUN
ispiv-190	225	12	(	(	PUNCT
ispiv-190	225	13	ri	ri	PROPN
ispiv-190	225	14	j	j	PROPN
ispiv-190	225	15	,	,	PUNCT
ispiv-190	225	16	i	i	PROPN
ispiv-190	225	17	>	>	X
ispiv-190	225	18	j	j	PROPN
ispiv-190	225	19	)	)	PUNCT
ispiv-190	225	20	,	,	PUNCT
ispiv-190	225	21	ground	ground	NOUN
ispiv-190	225	22	truth	truth	NOUN
ispiv-190	225	23	from	from	ADP
ispiv-190	225	24	dns	dns	PROPN
ispiv-190	225	25	.	.	PUNCT
ispiv-190	226	1	(	(	PUNCT
ispiv-190	226	2	b	b	X
ispiv-190	226	3	)	)	PUNCT
ispiv-190	226	4	upper	upper	ADJ
ispiv-190	226	5	three	three	NUM
ispiv-190	226	6	components	component	NOUN
ispiv-190	226	7	of	of	ADP
ispiv-190	226	8	rotation	rotation	NOUN
ispiv-190	226	9	-	-	PUNCT
ispiv-190	226	10	rate	rate	NOUN
ispiv-190	226	11	tensor	tensor	NOUN
ispiv-190	226	12	,	,	PUNCT
ispiv-190	226	13	r̃i	r̃i	ADJ
ispiv-190	226	14	j	j	PROPN
ispiv-190	226	15	,	,	PUNCT
ispiv-190	226	16	i	i	PRON
ispiv-190	226	17	<	<	X
ispiv-190	226	18	j	j	PROPN
ispiv-190	226	19	,	,	PUNCT
ispiv-190	226	20	computed	compute	VERB
ispiv-190	226	21	from	from	ADP
ispiv-190	226	22	simulated	simulated	ADJ
ispiv-190	226	23	ptv	ptv	PROPN
ispiv-190	226	24	data	datum	NOUN
ispiv-190	226	25	with	with	ADP
ispiv-190	226	26	artificial	artificial	ADJ
ispiv-190	226	27	noise	noise	NOUN
ispiv-190	226	28	introduced	introduce	VERB
ispiv-190	226	29	in	in	ADP
ispiv-190	226	30	the	the	DET
ispiv-190	226	31	velocity	velocity	NOUN
ispiv-190	226	32	field	field	NOUN
ispiv-190	226	33	.	.	PUNCT
ispiv-190	227	1	the	the	DET
ispiv-190	227	2	surface	surface	NOUN
ispiv-190	227	3	iso	iso	NOUN
ispiv-190	227	4	-	-	PUNCT
ispiv-190	227	5	values	value	NOUN
ispiv-190	227	6	are	be	AUX
ispiv-190	227	7	+0.3	+0.3	ADJ
ispiv-190	227	8	for	for	ADP
ispiv-190	227	9	red	red	ADJ
ispiv-190	227	10	and	and	CCONJ
ispiv-190	227	11	−0.3	−0.3	PROPN
ispiv-190	227	12	for	for	ADP
ispiv-190	227	13	blue	blue	NOUN
ispiv-190	227	14	.	.	PUNCT
ispiv-190	228	1	(	(	PUNCT
ispiv-190	228	2	c1	c1	PROPN
ispiv-190	228	3	–	–	PUNCT
ispiv-190	228	4	c3	c3	PROPN
ispiv-190	228	5	)	)	PUNCT
ispiv-190	228	6	histogram	histogram	NOUN
ispiv-190	228	7	of	of	ADP
ispiv-190	228	8	the	the	DET
ispiv-190	228	9	relative	relative	ADJ
ispiv-190	228	10	error	error	NOUN
ispiv-190	228	11	in	in	ADP
ispiv-190	228	12	the	the	DET
ispiv-190	228	13	computed	compute	VERB
ispiv-190	228	14	r̃i	r̃i	NOUN
ispiv-190	228	15	j	j	PROPN
ispiv-190	228	16	in	in	ADP
ispiv-190	228	17	(	(	PUNCT
ispiv-190	228	18	b	b	NOUN
ispiv-190	228	19	)	)	PUNCT
ispiv-190	228	20	,	,	PUNCT
ispiv-190	228	21	r̃23	r̃23	NOUN
ispiv-190	228	22	,	,	PUNCT
ispiv-190	228	23	r̃13	r̃13	PRON
ispiv-190	228	24	,	,	PUNCT
ispiv-190	228	25	r̃12	r̃12	NOUN
ispiv-190	228	26	,	,	PUNCT
ispiv-190	228	27	respectively	respectively	ADV
ispiv-190	228	28	.	.	PUNCT
ispiv-190	229	1	6	6	NUM
ispiv-190	229	2	application	application	NOUN
ispiv-190	229	3	to	to	ADP
ispiv-190	229	4	experimental	experimental	ADJ
ispiv-190	229	5	data	datum	NOUN
ispiv-190	229	6	finally	finally	ADV
ispiv-190	229	7	,	,	PUNCT
ispiv-190	229	8	we	we	PRON
ispiv-190	229	9	apply	apply	VERB
ispiv-190	229	10	our	our	PRON
ispiv-190	229	11	method	method	NOUN
ispiv-190	229	12	to	to	ADP
ispiv-190	229	13	real	real	ADJ
ispiv-190	229	14	experimental	experimental	ADJ
ispiv-190	229	15	data	datum	NOUN
ispiv-190	229	16	.	.	PUNCT
ispiv-190	230	1	velocity	velocity	NOUN
ispiv-190	230	2	field	field	NOUN
ispiv-190	230	3	of	of	ADP
ispiv-190	230	4	a	a	DET
ispiv-190	230	5	free	free	ADJ
ispiv-190	230	6	jet	jet	NOUN
ispiv-190	230	7	issuing	issue	VERB
ispiv-190	230	8	from	from	ADP
ispiv-190	230	9	a	a	DET
ispiv-190	230	10	circular	circular	ADJ
ispiv-190	230	11	nozzle	nozzle	NOUN
ispiv-190	230	12	(	(	PUNCT
ispiv-190	230	13	diameter	diameter	NOUN
ispiv-190	230	14	d	d	NOUN
ispiv-190	230	15	=	=	PROPN
ispiv-190	230	16	2.54	2.54	NUM
ispiv-190	230	17	cm	cm	NOUN
ispiv-190	230	18	)	)	PUNCT
ispiv-190	230	19	at	at	ADP
ispiv-190	230	20	mach	mach	NOUN
ispiv-190	230	21	0.3	0.3	NUM
ispiv-190	230	22	is	be	AUX
ispiv-190	230	23	obtained	obtain	VERB
ispiv-190	230	24	using	use	VERB
ispiv-190	230	25	multi	multi	ADJ
ispiv-190	230	26	-	-	ADJ
ispiv-190	230	27	pulse	pulse	ADJ
ispiv-190	230	28	shake	shake	NOUN
ispiv-190	230	29	-	-	PUNCT
ispiv-190	230	30	the	the	DET
ispiv-190	230	31	-	-	PUNCT
ispiv-190	230	32	box	box	NOUN
ispiv-190	230	33	(	(	PUNCT
ispiv-190	230	34	fig	fig	NOUN
ispiv-190	230	35	.	.	PUNCT
ispiv-190	231	1	6	6	NUM
ispiv-190	231	2	)	)	PUNCT
ispiv-190	231	3	.	.	PUNCT
ispiv-190	232	1	details	detail	NOUN
ispiv-190	232	2	of	of	ADP
ispiv-190	232	3	the	the	DET
ispiv-190	232	4	setup	setup	NOUN
ispiv-190	232	5	and	and	CCONJ
ispiv-190	232	6	data	datum	NOUN
ispiv-190	232	7	can	can	AUX
ispiv-190	232	8	be	be	AUX
ispiv-190	232	9	found	find	VERB
ispiv-190	232	10	in	in	ADP
ispiv-190	232	11	sellappan	sellappan	NOUN
ispiv-190	232	12	et	et	PROPN
ispiv-190	232	13	al	al	PROPN
ispiv-190	232	14	.	.	PROPN
ispiv-190	233	1	(	(	PUNCT
ispiv-190	233	2	2020	2020	NUM
ispiv-190	233	3	)	)	PUNCT
ispiv-190	233	4	.	.	PUNCT
ispiv-190	234	1	our	our	PRON
ispiv-190	234	2	three	three	NUM
ispiv-190	234	3	-	-	PUNCT
ispiv-190	234	4	step	step	NOUN
ispiv-190	234	5	method	method	NOUN
ispiv-190	234	6	is	be	AUX
ispiv-190	234	7	used	use	VERB
ispiv-190	234	8	to	to	PART
ispiv-190	234	9	process	process	VERB
ispiv-190	234	10	∼	∼	NOUN
ispiv-190	234	11	2.6×104	2.6×104	NOUN
ispiv-190	234	12	particles	particle	NOUN
ispiv-190	234	13	in	in	ADP
ispiv-190	234	14	a	a	DET
ispiv-190	234	15	volumetric	volumetric	ADJ
ispiv-190	234	16	domain	domain	NOUN
ispiv-190	234	17	(	(	PUNCT
ispiv-190	234	18	average	average	ADJ
ispiv-190	234	19	seeding	seeding	NOUN
ispiv-190	234	20	density	density	NOUN
ispiv-190	234	21	is	be	AUX
ispiv-190	234	22	0.25	0.25	NUM
ispiv-190	234	23	particles	particle	NOUN
ispiv-190	234	24	/	/	SYM
ispiv-190	234	25	mm3	mm3	NOUN
ispiv-190	234	26	)	)	PUNCT
ispiv-190	234	27	and	and	CCONJ
ispiv-190	234	28	evaluate	evaluate	VERB
ispiv-190	234	29	strain	strain	NOUN
ispiv-190	234	30	/	/	SYM
ispiv-190	234	31	rotation	rotation	NOUN
ispiv-190	234	32	-	-	PUNCT
ispiv-190	234	33	rate	rate	NOUN
ispiv-190	234	34	tensors	tensor	NOUN
ispiv-190	234	35	(	(	PUNCT
ispiv-190	234	36	fig	fig	NOUN
ispiv-190	234	37	.	.	PUNCT
ispiv-190	234	38	7	7	NUM
ispiv-190	234	39	and	and	CCONJ
ispiv-190	234	40	fig	fig	NOUN
ispiv-190	234	41	.	.	PUNCT
ispiv-190	235	1	8	8	NUM
ispiv-190	235	2	,	,	PUNCT
ispiv-190	235	3	respectively	respectively	ADV
ispiv-190	235	4	)	)	PUNCT
ispiv-190	235	5	.	.	PUNCT
ispiv-190	236	1	in	in	ADP
ispiv-190	236	2	s12,s21	s12,s21	NOUN
ispiv-190	236	3	and	and	CCONJ
ispiv-190	236	4	r12,r21	r12,r21	NOUN
ispiv-190	236	5	,	,	PUNCT
ispiv-190	236	6	two	two	NUM
ispiv-190	236	7	stripes	stripe	NOUN
ispiv-190	236	8	with	with	ADP
ispiv-190	236	9	different	different	ADJ
ispiv-190	236	10	colors	color	NOUN
ispiv-190	236	11	(	(	PUNCT
ispiv-190	236	12	opposite	opposite	ADJ
ispiv-190	236	13	signs	sign	NOUN
ispiv-190	236	14	of	of	ADP
ispiv-190	236	15	iso	iso	NOUN
ispiv-190	236	16	-	-	PUNCT
ispiv-190	236	17	values	value	NOUN
ispiv-190	236	18	for	for	ADP
ispiv-190	236	19	iso	iso	NOUN
ispiv-190	236	20	-	-	PUNCT
ispiv-190	236	21	surfaces	surface	NOUN
ispiv-190	236	22	)	)	PUNCT
ispiv-190	236	23	are	be	AUX
ispiv-190	236	24	shown	show	VERB
ispiv-190	236	25	as	as	SCONJ
ispiv-190	236	26	they	they	PRON
ispiv-190	236	27	are	be	AUX
ispiv-190	236	28	dominated	dominate	VERB
ispiv-190	236	29	by	by	ADP
ispiv-190	236	30	∂u/∂y	∂u/∂y	PROPN
ispiv-190	236	31	.	.	PUNCT
ispiv-190	237	1	the	the	DET
ispiv-190	237	2	similar	similar	ADJ
ispiv-190	237	3	large	large	ADJ
ispiv-190	237	4	scale	scale	NOUN
ispiv-190	237	5	strip	strip	NOUN
ispiv-190	237	6	are	be	AUX
ispiv-190	237	7	also	also	ADV
ispiv-190	237	8	shown	show	VERB
ispiv-190	237	9	in	in	ADP
ispiv-190	237	10	s13,s31	s13,s31	PROPN
ispiv-190	237	11	and	and	CCONJ
ispiv-190	237	12	r13,r31	r13,r31	VERB
ispiv-190	237	13	for	for	ADP
ispiv-190	237	14	the	the	DET
ispiv-190	237	15	dominant	dominant	ADJ
ispiv-190	237	16	∂u/∂	∂u/∂	PROPN
ispiv-190	237	17	z	z	NOUN
ispiv-190	237	18	contribution	contribution	NOUN
ispiv-190	237	19	.	.	PUNCT
ispiv-190	238	1	in	in	ADP
ispiv-190	238	2	s11	s11	PROPN
ispiv-190	238	3	=	=	SYM
ispiv-190	238	4	∂u/∂x	∂u/∂x	PROPN
ispiv-190	238	5	,	,	PUNCT
ispiv-190	238	6	we	we	PRON
ispiv-190	238	7	observe	observe	VERB
ispiv-190	238	8	blue	blue	ADJ
ispiv-190	238	9	and	and	CCONJ
ispiv-190	238	10	red	red	ADJ
ispiv-190	238	11	bands	band	NOUN
ispiv-190	238	12	appearing	appear	VERB
ispiv-190	238	13	alternatively	alternatively	ADV
ispiv-190	238	14	in	in	ADP
ispiv-190	238	15	the	the	DET
ispiv-190	238	16	steam	steam	NOUN
ispiv-190	238	17	-	-	PUNCT
ispiv-190	238	18	wise	wise	ADJ
ispiv-190	238	19	direction	direction	NOUN
ispiv-190	238	20	,	,	PUNCT
ispiv-190	238	21	which	which	PRON
ispiv-190	238	22	is	be	AUX
ispiv-190	238	23	from	from	ADP
ispiv-190	238	24	roll	roll	NOUN
ispiv-190	238	25	-	-	PUNCT
ispiv-190	238	26	up	up	NOUN
ispiv-190	238	27	due	due	ADJ
ispiv-190	238	28	to	to	ADP
ispiv-190	238	29	strong	strong	ADJ
ispiv-190	238	30	shear	shear	NOUN
ispiv-190	238	31	and	and	CCONJ
ispiv-190	238	32	can	can	AUX
ispiv-190	238	33	be	be	AUX
ispiv-190	238	34	better	well	ADV
ispiv-190	238	35	visualized	visualize	VERB
ispiv-190	238	36	by	by	ADP
ispiv-190	238	37	a	a	DET
ispiv-190	238	38	vortex	vortex	NOUN
ispiv-190	238	39	identification	identification	NOUN
ispiv-190	238	40	method	method	NOUN
ispiv-190	238	41	.	.	PUNCT
ispiv-190	239	1	figure	figure	NOUN
ispiv-190	239	2	9	9	NUM
ispiv-190	239	3	shows	show	VERB
ispiv-190	239	4	vortical	vortical	ADJ
ispiv-190	239	5	structures	structure	NOUN
ispiv-190	239	6	of	of	ADP
ispiv-190	239	7	the	the	DET
ispiv-190	239	8	jet	jet	NOUN
ispiv-190	239	9	flow	flow	NOUN
ispiv-190	239	10	identified	identify	VERB
ispiv-190	239	11	by	by	ADP
ispiv-190	239	12	q	q	NOUN
ispiv-190	239	13	-	-	PUNCT
ispiv-190	239	14	criterion	criterion	NOUN
ispiv-190	239	15	,	,	PUNCT
ispiv-190	239	16	where	where	SCONJ
ispiv-190	239	17	q	q	NOUN
ispiv-190	239	18	=	=	SYM
ispiv-190	239	19	1	1	NUM
ispiv-190	239	20	2	2	NUM
ispiv-190	239	21	(	(	PUNCT
ispiv-190	239	22	∣∣r2	∣∣r2	PROPN
ispiv-190	239	23	∣∣−	∣∣−	PROPN
ispiv-190	239	24	∣∣s2	∣∣s2	PROPN
ispiv-190	239	25	∣∣	∣∣	AUX
ispiv-190	239	26	)	)	PUNCT
ispiv-190	239	27	>	>	X
ispiv-190	239	28	0	0	X
ispiv-190	239	29	.	.	PUNCT
ispiv-190	239	30	toroidal	toroidal	ADJ
ispiv-190	239	31	vortex	vortex	NOUN
ispiv-190	239	32	structures	structure	NOUN
ispiv-190	239	33	of	of	ADP
ispiv-190	239	34	the	the	DET
ispiv-190	239	35	high	high	ADJ
ispiv-190	239	36	speed	speed	NOUN
ispiv-190	239	37	jet	jet	NOUN
ispiv-190	239	38	present	present	NOUN
ispiv-190	239	39	near	near	ADP
ispiv-190	239	40	the	the	DET
ispiv-190	239	41	nozzle	nozzle	NOUN
ispiv-190	239	42	due	due	ADP
ispiv-190	239	43	to	to	ADP
ispiv-190	239	44	kelvin	kelvin	PROPN
ispiv-190	239	45	-	-	PUNCT
ispiv-190	239	46	helmholtz	helmholtz	NOUN
ispiv-190	239	47	instabilities	instability	NOUN
ispiv-190	239	48	,	,	PUNCT
ispiv-190	239	49	and	and	CCONJ
ispiv-190	239	50	break	break	VERB
ispiv-190	239	51	up	up	ADP
ispiv-190	239	52	downstream	downstream	ADJ
ispiv-190	239	53	.	.	PUNCT
ispiv-190	240	1	figure	figure	VERB
ispiv-190	240	2	6	6	NUM
ispiv-190	240	3	:	:	PUNCT
ispiv-190	240	4	nondimensionalized	nondimensionalized	ADJ
ispiv-190	240	5	velocity	velocity	NOUN
ispiv-190	240	6	field	field	NOUN
ispiv-190	240	7	of	of	ADP
ispiv-190	240	8	a	a	DET
ispiv-190	240	9	ma	ma	PROPN
ispiv-190	240	10	0.3	0.3	NUM
ispiv-190	240	11	free	free	ADJ
ispiv-190	240	12	jet	jet	NOUN
ispiv-190	240	13	shooting	shooting	NOUN
ispiv-190	240	14	from	from	ADP
ispiv-190	240	15	left	left	ADJ
ispiv-190	240	16	to	to	ADP
ispiv-190	240	17	right	right	NOUN
ispiv-190	240	18	.	.	PUNCT
ispiv-190	241	1	the	the	DET
ispiv-190	241	2	side	side	NOUN
ispiv-190	241	3	view	view	NOUN
ispiv-190	241	4	of	of	ADP
ispiv-190	241	5	the	the	DET
ispiv-190	241	6	velocity	velocity	NOUN
ispiv-190	241	7	field	field	NOUN
ispiv-190	241	8	is	be	AUX
ispiv-190	241	9	projected	project	VERB
ispiv-190	241	10	to	to	ADP
ispiv-190	241	11	the	the	DET
ispiv-190	241	12	left	left	NOUN
ispiv-190	241	13	.	.	PUNCT
ispiv-190	242	1	figure	figure	VERB
ispiv-190	242	2	7	7	NUM
ispiv-190	242	3	:	:	PUNCT
ispiv-190	242	4	nondimensionalized	nondimensionalized	ADJ
ispiv-190	242	5	strain	strain	NOUN
ispiv-190	242	6	-	-	PUNCT
ispiv-190	242	7	rate	rate	NOUN
ispiv-190	242	8	tensor	tensor	NOUN
ispiv-190	242	9	of	of	ADP
ispiv-190	242	10	the	the	DET
ispiv-190	242	11	ma	ma	PROPN
ispiv-190	242	12	0.3	0.3	NUM
ispiv-190	242	13	free	free	ADJ
ispiv-190	242	14	jet	jet	NOUN
ispiv-190	242	15	.	.	PUNCT
ispiv-190	243	1	surface	surface	NOUN
ispiv-190	243	2	iso	iso	NOUN
ispiv-190	243	3	-	-	PUNCT
ispiv-190	243	4	values	value	NOUN
ispiv-190	243	5	for	for	ADP
ispiv-190	243	6	s12	s12	PROPN
ispiv-190	243	7	,	,	PUNCT
ispiv-190	243	8	s21	s21	NOUN
ispiv-190	243	9	,	,	PUNCT
ispiv-190	243	10	s13	s13	NOUN
ispiv-190	243	11	,	,	PUNCT
ispiv-190	243	12	s31	s31	NOUN
ispiv-190	243	13	are	be	AUX
ispiv-190	243	14	±0.2	±0.2	PROPN
ispiv-190	243	15	,	,	PUNCT
ispiv-190	243	16	and	and	CCONJ
ispiv-190	243	17	other	other	ADJ
ispiv-190	243	18	tensor	tensor	NOUN
ispiv-190	243	19	components	component	NOUN
ispiv-190	243	20	adopt	adopt	VERB
ispiv-190	243	21	iso	iso	NOUN
ispiv-190	243	22	-	-	PUNCT
ispiv-190	243	23	values	value	NOUN
ispiv-190	243	24	of	of	ADP
ispiv-190	243	25	±0.1	±0.1	PROPN
ispiv-190	243	26	.	.	PUNCT
ispiv-190	244	1	red	red	ADJ
ispiv-190	244	2	surfaces	surface	NOUN
ispiv-190	244	3	for	for	ADP
ispiv-190	244	4	positive	positive	ADJ
ispiv-190	244	5	iso	iso	NOUN
ispiv-190	244	6	-	-	PUNCT
ispiv-190	244	7	values	value	NOUN
ispiv-190	244	8	and	and	CCONJ
ispiv-190	244	9	blue	blue	ADJ
ispiv-190	244	10	for	for	ADP
ispiv-190	244	11	negative	negative	ADJ
ispiv-190	244	12	.	.	PUNCT
ispiv-190	245	1	figure	figure	VERB
ispiv-190	245	2	8	8	NUM
ispiv-190	245	3	:	:	PUNCT
ispiv-190	245	4	nondimensionalized	nondimensionalized	ADJ
ispiv-190	245	5	rotation	rotation	NOUN
ispiv-190	245	6	-	-	PUNCT
ispiv-190	245	7	rate	rate	NOUN
ispiv-190	245	8	tensor	tensor	NOUN
ispiv-190	245	9	of	of	ADP
ispiv-190	245	10	the	the	DET
ispiv-190	245	11	ma	ma	PROPN
ispiv-190	245	12	0.3	0.3	NUM
ispiv-190	245	13	free	free	ADJ
ispiv-190	245	14	jet	jet	NOUN
ispiv-190	245	15	.	.	PUNCT
ispiv-190	246	1	surface	surface	NOUN
ispiv-190	246	2	iso	iso	NOUN
ispiv-190	246	3	-	-	PUNCT
ispiv-190	246	4	values	value	NOUN
ispiv-190	246	5	for	for	ADP
ispiv-190	246	6	r23	r23	NOUN
ispiv-190	246	7	,	,	PUNCT
ispiv-190	246	8	r32	r32	PROPN
ispiv-190	246	9	are	be	AUX
ispiv-190	246	10	±0.1	±0.1	NOUN
ispiv-190	246	11	,	,	PUNCT
ispiv-190	246	12	and	and	CCONJ
ispiv-190	246	13	other	other	ADJ
ispiv-190	246	14	tensor	tensor	NOUN
ispiv-190	246	15	components	component	NOUN
ispiv-190	246	16	adopt	adopt	VERB
ispiv-190	246	17	iso	iso	NOUN
ispiv-190	246	18	-	-	PUNCT
ispiv-190	246	19	values	value	NOUN
ispiv-190	246	20	of	of	ADP
ispiv-190	246	21	±0.2	±0.2	PROPN
ispiv-190	246	22	.	.	PUNCT
ispiv-190	247	1	red	red	ADJ
ispiv-190	247	2	surfaces	surface	NOUN
ispiv-190	247	3	for	for	ADP
ispiv-190	247	4	positive	positive	ADJ
ispiv-190	247	5	iso	iso	NOUN
ispiv-190	247	6	-	-	PUNCT
ispiv-190	247	7	values	value	NOUN
ispiv-190	247	8	and	and	CCONJ
ispiv-190	247	9	blue	blue	ADJ
ispiv-190	247	10	for	for	ADP
ispiv-190	247	11	negative	negative	ADJ
ispiv-190	247	12	.	.	PUNCT
ispiv-190	248	1	figure	figure	VERB
ispiv-190	248	2	9	9	NUM
ispiv-190	248	3	:	:	PUNCT
ispiv-190	248	4	iso	iso	NOUN
ispiv-190	248	5	-	-	PUNCT
ispiv-190	248	6	surface	surface	NOUN
ispiv-190	248	7	of	of	ADP
ispiv-190	248	8	q	q	NOUN
ispiv-190	248	9	-	-	PUNCT
ispiv-190	248	10	criterion	criterion	NOUN
ispiv-190	248	11	(	(	PUNCT
ispiv-190	248	12	q	q	NOUN
ispiv-190	248	13	=	=	PUNCT
ispiv-190	248	14	0.025	0.025	NUM
ispiv-190	248	15	)	)	PUNCT
ispiv-190	248	16	,	,	PUNCT
ispiv-190	248	17	colored	color	VERB
ispiv-190	248	18	by	by	ADP
ispiv-190	248	19	ma	ma	PROPN
ispiv-190	248	20	,	,	PUNCT
ispiv-190	248	21	of	of	ADP
ispiv-190	248	22	the	the	DET
ispiv-190	248	23	ma	ma	PROPN
ispiv-190	248	24	0.3	0.3	NUM
ispiv-190	248	25	jet	jet	NOUN
ispiv-190	248	26	flow	flow	NOUN
ispiv-190	248	27	.	.	PUNCT
ispiv-190	249	1	7	7	NUM
ispiv-190	249	2	conclusion	conclusion	NOUN
ispiv-190	249	3	and	and	CCONJ
ispiv-190	249	4	discussions	discussion	NOUN
ispiv-190	249	5	we	we	PRON
ispiv-190	249	6	propose	propose	VERB
ispiv-190	249	7	a	a	DET
ispiv-190	249	8	three	three	NUM
ispiv-190	249	9	-	-	PUNCT
ispiv-190	249	10	step	step	NOUN
ispiv-190	249	11	method	method	NOUN
ispiv-190	249	12	to	to	PART
ispiv-190	249	13	calculate	calculate	VERB
ispiv-190	249	14	spatial	spatial	ADJ
ispiv-190	249	15	velocity	velocity	NOUN
ispiv-190	249	16	gradients	gradient	NOUN
ispiv-190	249	17	and	and	CCONJ
ispiv-190	249	18	strain	strain	NOUN
ispiv-190	249	19	/	/	SYM
ispiv-190	249	20	rotation	rotation	NOUN
ispiv-190	249	21	-	-	PUNCT
ispiv-190	249	22	rate	rate	NOUN
ispiv-190	249	23	tensors	tensor	NOUN
ispiv-190	249	24	for	for	ADP
ispiv-190	249	25	volumetric	volumetric	NOUN
ispiv-190	249	26	ptv	ptv	PROPN
ispiv-190	249	27	/	/	SYM
ispiv-190	249	28	a	a	DET
ispiv-190	249	29	data	data	NOUN
ispiv-190	249	30	.	.	PUNCT
ispiv-190	250	1	rbf	rbf	PROPN
ispiv-190	250	2	-	-	PROPN
ispiv-190	250	3	qr	qr	PROPN
ispiv-190	250	4	with	with	ADP
ispiv-190	250	5	pum	pum	PROPN
ispiv-190	250	6	,	,	PUNCT
ispiv-190	250	7	serving	serve	VERB
ispiv-190	250	8	as	as	ADP
ispiv-190	250	9	the	the	DET
ispiv-190	250	10	core	core	NOUN
ispiv-190	250	11	of	of	ADP
ispiv-190	250	12	the	the	DET
ispiv-190	250	13	processing	processing	NOUN
ispiv-190	250	14	step	step	NOUN
ispiv-190	250	15	,	,	PUNCT
ispiv-190	250	16	ensures	ensure	VERB
ispiv-190	250	17	that	that	SCONJ
ispiv-190	250	18	the	the	DET
ispiv-190	250	19	method	method	NOUN
ispiv-190	250	20	can	can	AUX
ispiv-190	250	21	handle	handle	VERB
ispiv-190	250	22	large	large	ADJ
ispiv-190	250	23	scattered	scatter	VERB
ispiv-190	250	24	data	datum	NOUN
ispiv-190	250	25	in	in	ADP
ispiv-190	250	26	3d	3d	NUM
ispiv-190	250	27	with	with	ADP
ispiv-190	250	28	numerical	numerical	ADJ
ispiv-190	250	29	stability	stability	NOUN
ispiv-190	250	30	.	.	PUNCT
ispiv-190	251	1	pre	pre	ADJ
ispiv-190	251	2	-	-	ADJ
ispiv-190	251	3	processing	processing	NOUN
ispiv-190	251	4	improves	improve	VERB
ispiv-190	251	5	data	datum	NOUN
ispiv-190	251	6	quality	quality	NOUN
ispiv-190	251	7	by	by	ADP
ispiv-190	251	8	enhancing	enhance	VERB
ispiv-190	251	9	data	datum	NOUN
ispiv-190	251	10	layout	layout	NOUN
ispiv-190	251	11	and	and	CCONJ
ispiv-190	251	12	reducing	reduce	VERB
ispiv-190	251	13	potential	potential	ADJ
ispiv-190	251	14	noise	noise	NOUN
ispiv-190	251	15	from	from	ADP
ispiv-190	251	16	experimental	experimental	ADJ
ispiv-190	251	17	data	datum	NOUN
ispiv-190	251	18	.	.	PUNCT
ispiv-190	252	1	the	the	DET
ispiv-190	252	2	post	post	ADJ
ispiv-190	252	3	-	-	ADJ
ispiv-190	252	4	processing	processing	ADJ
ispiv-190	252	5	detects	detect	NOUN
ispiv-190	252	6	and	and	CCONJ
ispiv-190	252	7	removes	remove	VERB
ispiv-190	252	8	potential	potential	ADJ
ispiv-190	252	9	outliers	outlier	NOUN
ispiv-190	252	10	for	for	ADP
ispiv-190	252	11	more	more	ADV
ispiv-190	252	12	robust	robust	ADJ
ispiv-190	252	13	final	final	ADJ
ispiv-190	252	14	results	result	NOUN
ispiv-190	252	15	.	.	PUNCT
ispiv-190	253	1	validation	validation	NOUN
ispiv-190	253	2	on	on	ADP
ispiv-190	253	3	simulated	simulated	ADJ
ispiv-190	253	4	data	datum	NOUN
ispiv-190	253	5	in	in	ADP
ispiv-190	253	6	2d	2d	NUM
ispiv-190	253	7	and	and	CCONJ
ispiv-190	253	8	3d	3d	NUM
ispiv-190	253	9	show	show	VERB
ispiv-190	253	10	that	that	SCONJ
ispiv-190	253	11	this	this	DET
ispiv-190	253	12	method	method	NOUN
ispiv-190	253	13	is	be	AUX
ispiv-190	253	14	robust	robust	ADJ
ispiv-190	253	15	and	and	CCONJ
ispiv-190	253	16	accurate	accurate	ADJ
ispiv-190	253	17	enough	enough	ADV
ispiv-190	253	18	to	to	PART
ispiv-190	253	19	be	be	AUX
ispiv-190	253	20	applied	apply	VERB
ispiv-190	253	21	to	to	ADP
ispiv-190	253	22	real	real	ADJ
ispiv-190	253	23	volumetric	volumetric	NOUN
ispiv-190	253	24	ptv	ptv	PROPN
ispiv-190	253	25	/	/	SYM
ispiv-190	253	26	a	a	DET
ispiv-190	253	27	data	datum	NOUN
ispiv-190	253	28	,	,	PUNCT
ispiv-190	253	29	where	where	SCONJ
ispiv-190	253	30	particle	particle	NOUN
ispiv-190	253	31	layout	layout	NOUN
ispiv-190	253	32	may	may	AUX
ispiv-190	253	33	not	not	PART
ispiv-190	253	34	be	be	AUX
ispiv-190	253	35	ideal	ideal	ADJ
ispiv-190	253	36	and	and	CCONJ
ispiv-190	253	37	the	the	DET
ispiv-190	253	38	velocity	velocity	NOUN
ispiv-190	253	39	is	be	AUX
ispiv-190	253	40	uncertain	uncertain	ADJ
ispiv-190	253	41	.	.	PUNCT
ispiv-190	254	1	our	our	PRON
ispiv-190	254	2	method	method	NOUN
ispiv-190	254	3	directly	directly	ADV
ispiv-190	254	4	reads	read	VERB
ispiv-190	254	5	,	,	PUNCT
ispiv-190	254	6	operates	operate	VERB
ispiv-190	254	7	,	,	PUNCT
ispiv-190	254	8	and	and	CCONJ
ispiv-190	254	9	stores	store	NOUN
ispiv-190	254	10	lagrangian	lagrangian	ADJ
ispiv-190	254	11	data	datum	NOUN
ispiv-190	254	12	for	for	ADP
ispiv-190	254	13	each	each	DET
ispiv-190	254	14	particle	particle	NOUN
ispiv-190	254	15	,	,	PUNCT
ispiv-190	254	16	and	and	CCONJ
ispiv-190	254	17	only	only	ADV
ispiv-190	254	18	some	some	DET
ispiv-190	254	19	visualization	visualization	NOUN
ispiv-190	254	20	may	may	AUX
ispiv-190	254	21	require	require	VERB
ispiv-190	254	22	interpolation	interpolation	NOUN
ispiv-190	254	23	on	on	ADP
ispiv-190	254	24	eulerian	eulerian	ADJ
ispiv-190	254	25	mesh	mesh	NOUN
ispiv-190	254	26	.	.	PUNCT
ispiv-190	255	1	lastly	lastly	ADV
ispiv-190	255	2	,	,	PUNCT
ispiv-190	255	3	we	we	PRON
ispiv-190	255	4	want	want	VERB
ispiv-190	255	5	to	to	PART
ispiv-190	255	6	point	point	VERB
ispiv-190	255	7	out	out	ADP
ispiv-190	255	8	a	a	DET
ispiv-190	255	9	special	special	ADJ
ispiv-190	255	10	issue	issue	NOUN
ispiv-190	255	11	that	that	SCONJ
ispiv-190	255	12	the	the	DET
ispiv-190	255	13	data	data	NOUN
ispiv-190	255	14	layout	layout	NOUN
ispiv-190	255	15	(	(	PUNCT
ispiv-190	255	16	local	local	ADJ
ispiv-190	255	17	particle	particle	NOUN
ispiv-190	255	18	distribution	distribution	NOUN
ispiv-190	255	19	)	)	PUNCT
ispiv-190	255	20	can	can	AUX
ispiv-190	255	21	significantly	significantly	ADV
ispiv-190	255	22	affect	affect	VERB
ispiv-190	255	23	a	a	DET
ispiv-190	255	24	gradient	gradient	ADJ
ispiv-190	255	25	calculation	calculation	NOUN
ispiv-190	255	26	,	,	PUNCT
ispiv-190	255	27	especially	especially	ADV
ispiv-190	255	28	when	when	SCONJ
ispiv-190	255	29	noise	noise	NOUN
ispiv-190	255	30	is	be	AUX
ispiv-190	255	31	present	present	ADJ
ispiv-190	255	32	in	in	ADP
ispiv-190	255	33	the	the	DET
ispiv-190	255	34	ptv	ptv	PROPN
ispiv-190	255	35	data	data	PROPN
ispiv-190	255	36	.	.	PUNCT
ispiv-190	256	1	to	to	PART
ispiv-190	256	2	be	be	AUX
ispiv-190	256	3	more	more	ADV
ispiv-190	256	4	specific	specific	ADJ
ispiv-190	256	5	,	,	PUNCT
ispiv-190	256	6	tracer	tracer	NOUN
ispiv-190	256	7	particles	particle	NOUN
ispiv-190	256	8	with	with	ADP
ispiv-190	256	9	quasi	quasi	ADJ
ispiv-190	256	10	-	-	ADJ
ispiv-190	256	11	uniform	uniform	ADJ
ispiv-190	256	12	layout	layout	NOUN
ispiv-190	256	13	is	be	AUX
ispiv-190	256	14	preferred	prefer	VERB
ispiv-190	256	15	by	by	ADP
ispiv-190	256	16	our	our	PRON
ispiv-190	256	17	method	method	NOUN
ispiv-190	256	18	,	,	PUNCT
ispiv-190	256	19	and	and	CCONJ
ispiv-190	256	20	many	many	ADJ
ispiv-190	256	21	other	other	ADJ
ispiv-190	256	22	mesh	mesh	NOUN
ispiv-190	256	23	-	-	PUNCT
ispiv-190	256	24	free	free	ADJ
ispiv-190	256	25	schemes	scheme	NOUN
ispiv-190	256	26	.	.	PUNCT
ispiv-190	257	1	however	however	ADV
ispiv-190	257	2	,	,	PUNCT
ispiv-190	257	3	a	a	DET
ispiv-190	257	4	quasi	quasi	ADJ
ispiv-190	257	5	-	-	ADJ
ispiv-190	257	6	uniform	uniform	ADJ
ispiv-190	257	7	distribution	distribution	NOUN
ispiv-190	257	8	of	of	ADP
ispiv-190	257	9	particles	particle	NOUN
ispiv-190	257	10	may	may	AUX
ispiv-190	257	11	never	never	ADV
ispiv-190	257	12	be	be	AUX
ispiv-190	257	13	achieved	achieve	VERB
ispiv-190	257	14	in	in	ADP
ispiv-190	257	15	a	a	DET
ispiv-190	257	16	real	real	ADJ
ispiv-190	257	17	ptv	ptv	NOUN
ispiv-190	257	18	measurement	measurement	NOUN
ispiv-190	257	19	for	for	ADP
ispiv-190	257	20	many	many	ADJ
ispiv-190	257	21	reasons	reason	NOUN
ispiv-190	257	22	.	.	PUNCT
ispiv-190	258	1	examples	example	NOUN
ispiv-190	258	2	include	include	VERB
ispiv-190	258	3	agglomeration	agglomeration	NOUN
ispiv-190	258	4	of	of	ADP
ispiv-190	258	5	tracer	tracer	NOUN
ispiv-190	258	6	particles	particle	NOUN
ispiv-190	258	7	in	in	ADP
ispiv-190	258	8	high	high	ADJ
ispiv-190	258	9	shear	shear	NOUN
ispiv-190	258	10	flows	flow	NOUN
ispiv-190	258	11	,	,	PUNCT
ispiv-190	258	12	low	low	ADJ
ispiv-190	258	13	seeding	seeding	NOUN
ispiv-190	258	14	densities	density	NOUN
ispiv-190	258	15	near	near	ADP
ispiv-190	258	16	the	the	DET
ispiv-190	258	17	wall	wall	NOUN
ispiv-190	258	18	,	,	PUNCT
ispiv-190	258	19	and	and	CCONJ
ispiv-190	258	20	non	non	ADJ
ispiv-190	258	21	-	-	ADJ
ispiv-190	258	22	uniform	uniform	ADJ
ispiv-190	258	23	illumination	illumination	NOUN
ispiv-190	258	24	and	and	CCONJ
ispiv-190	258	25	scattering	scattering	NOUN
ispiv-190	258	26	,	,	PUNCT
ispiv-190	258	27	etc	etc	X
ispiv-190	258	28	.	.	X
ispiv-190	259	1	due	due	ADP
ispiv-190	259	2	to	to	ADP
ispiv-190	259	3	the	the	DET
ispiv-190	259	4	non	non	NOUN
ispiv-190	259	5	-	-	NOUN
ispiv-190	259	6	uniformity	uniformity	NOUN
ispiv-190	259	7	of	of	ADP
ispiv-190	259	8	the	the	DET
ispiv-190	259	9	particle	particle	NOUN
ispiv-190	259	10	layout	layout	NOUN
ispiv-190	259	11	,	,	PUNCT
ispiv-190	259	12	raw	raw	ADJ
ispiv-190	259	13	ptv	ptv	PROPN
ispiv-190	259	14	data	datum	NOUN
ispiv-190	259	15	has	have	VERB
ispiv-190	259	16	low	low	ADJ
ispiv-190	259	17	efficiency	efficiency	NOUN
ispiv-190	259	18	in	in	ADP
ispiv-190	259	19	terms	term	NOUN
ispiv-190	259	20	of	of	ADP
ispiv-190	259	21	resolving	resolve	VERB
ispiv-190	259	22	flow	flow	NOUN
ispiv-190	259	23	structures	structure	NOUN
ispiv-190	259	24	.	.	PUNCT
ispiv-190	260	1	local	local	ADJ
ispiv-190	260	2	high	high	ADJ
ispiv-190	260	3	-	-	PUNCT
ispiv-190	260	4	density	density	NOUN
ispiv-190	260	5	seeding	seeding	NOUN
ispiv-190	260	6	may	may	AUX
ispiv-190	260	7	appear	appear	VERB
ispiv-190	260	8	at	at	ADP
ispiv-190	260	9	low	low	ADJ
ispiv-190	260	10	gradient	gradient	ADJ
ispiv-190	260	11	regions	region	NOUN
ispiv-190	260	12	,	,	PUNCT
ispiv-190	260	13	where	where	SCONJ
ispiv-190	260	14	high	high	ADJ
ispiv-190	260	15	spatial	spatial	ADJ
ispiv-190	260	16	resolution	resolution	NOUN
ispiv-190	260	17	sampling	sample	VERB
ispiv-190	260	18	is	be	AUX
ispiv-190	260	19	not	not	PART
ispiv-190	260	20	needed	need	VERB
ispiv-190	260	21	.	.	PUNCT
ispiv-190	261	1	moreover	moreover	ADV
ispiv-190	261	2	,	,	PUNCT
ispiv-190	261	3	excessively	excessively	ADV
ispiv-190	261	4	high	high	ADJ
ispiv-190	261	5	-	-	PUNCT
ispiv-190	261	6	density	density	NOUN
ispiv-190	261	7	seeding	seeding	NOUN
ispiv-190	261	8	in	in	ADP
ispiv-190	261	9	a	a	DET
ispiv-190	261	10	local	local	ADJ
ispiv-190	261	11	region	region	NOUN
ispiv-190	261	12	may	may	AUX
ispiv-190	261	13	corrupt	corrupt	VERB
ispiv-190	261	14	a	a	DET
ispiv-190	261	15	mesh	mesh	NOUN
ispiv-190	261	16	-	-	PUNCT
ispiv-190	261	17	free	free	ADJ
ispiv-190	261	18	numerical	numerical	ADJ
ispiv-190	261	19	scheme	scheme	NOUN
ispiv-190	261	20	,	,	PUNCT
ispiv-190	261	21	despite	despite	SCONJ
ispiv-190	261	22	the	the	DET
ispiv-190	261	23	fact	fact	NOUN
ispiv-190	261	24	that	that	SCONJ
ispiv-190	261	25	global	global	ADJ
ispiv-190	261	26	high	high	ADJ
ispiv-190	261	27	seeding	seeding	NOUN
ispiv-190	261	28	density	density	NOUN
ispiv-190	261	29	is	be	AUX
ispiv-190	261	30	much	much	ADV
ispiv-190	261	31	preferred	preferred	ADJ
ispiv-190	261	32	to	to	PART
ispiv-190	261	33	resolve	resolve	VERB
ispiv-190	261	34	small	small	ADJ
ispiv-190	261	35	scale	scale	NOUN
ispiv-190	261	36	structures	structure	NOUN
ispiv-190	261	37	in	in	ADP
ispiv-190	261	38	the	the	DET
ispiv-190	261	39	flow	flow	NOUN
ispiv-190	261	40	.	.	PUNCT
ispiv-190	262	1	even	even	ADV
ispiv-190	262	2	for	for	ADP
ispiv-190	262	3	a	a	DET
ispiv-190	262	4	well	well	ADV
ispiv-190	262	5	-	-	PUNCT
ispiv-190	262	6	seeded	seed	VERB
ispiv-190	262	7	flow	flow	NOUN
ispiv-190	262	8	,	,	PUNCT
ispiv-190	262	9	randomly	randomly	ADV
ispiv-190	262	10	distributed	distribute	VERB
ispiv-190	262	11	particles	particle	NOUN
ispiv-190	262	12	do	do	AUX
ispiv-190	262	13	not	not	PART
ispiv-190	262	14	yield	yield	VERB
ispiv-190	262	15	the	the	DET
ispiv-190	262	16	most	most	ADV
ispiv-190	262	17	friendly	friendly	ADJ
ispiv-190	262	18	data	datum	NOUN
ispiv-190	262	19	layout	layout	NOUN
ispiv-190	262	20	for	for	ADP
ispiv-190	262	21	a	a	DET
ispiv-190	262	22	mesh	mesh	NOUN
ispiv-190	262	23	-	-	PUNCT
ispiv-190	262	24	free	free	ADJ
ispiv-190	262	25	scheme	scheme	NOUN
ispiv-190	262	26	and	and	CCONJ
ispiv-190	262	27	data	datum	NOUN
ispiv-190	262	28	layout	layout	NOUN
ispiv-190	262	29	enhancement	enhancement	NOUN
ispiv-190	262	30	is	be	AUX
ispiv-190	262	31	perhaps	perhaps	ADV
ispiv-190	262	32	needed	need	VERB
ispiv-190	262	33	.	.	PUNCT
ispiv-190	263	1	acknowledgements	acknowledgement	NOUN
ispiv-190	263	2	we	we	PRON
ispiv-190	263	3	acknowledge	acknowledge	VERB
ispiv-190	263	4	the	the	DET
ispiv-190	263	5	support	support	NOUN
ispiv-190	263	6	of	of	ADP
ispiv-190	263	7	the	the	DET
ispiv-190	263	8	natural	natural	ADJ
ispiv-190	263	9	sciences	science	NOUN
ispiv-190	263	10	and	and	CCONJ
ispiv-190	263	11	engineering	engineering	NOUN
ispiv-190	263	12	research	research	NOUN
ispiv-190	263	13	council	council	PROPN
ispiv-190	263	14	of	of	ADP
ispiv-190	263	15	canada	canada	PROPN
ispiv-190	263	16	(	(	PUNCT
ispiv-190	263	17	nserc	nserc	PROPN
ispiv-190	263	18	)	)	PUNCT
ispiv-190	263	19	and	and	CCONJ
ispiv-190	263	20	the	the	DET
ispiv-190	263	21	u.s	u.s	PROPN
ispiv-190	263	22	.	.	PROPN
ispiv-190	263	23	office	office	PROPN
ispiv-190	263	24	of	of	ADP
ispiv-190	263	25	naval	naval	ADJ
ispiv-190	263	26	research	research	NOUN
ispiv-190	263	27	grant	grant	NOUN
ispiv-190	263	28	n00014	n00014	PROPN
ispiv-190	263	29	-	-	PUNCT
ispiv-190	263	30	21	21	NUM
ispiv-190	263	31	-	-	PUNCT
ispiv-190	263	32	1	1	NUM
ispiv-190	263	33	-	-	PUNCT
ispiv-190	263	34	2454	2454	NUM
ispiv-190	263	35	(	(	PUNCT
ispiv-190	263	36	monitored	monitor	VERB
ispiv-190	263	37	by	by	ADP
ispiv-190	263	38	dr	dr	PROPN
ispiv-190	263	39	.	.	PROPN
ispiv-190	263	40	david	david	PROPN
ispiv-190	263	41	gonzalez	gonzalez	PROPN
ispiv-190	263	42	)	)	PUNCT
ispiv-190	263	43	and	and	CCONJ
ispiv-190	263	44	insightful	insightful	ADJ
ispiv-190	263	45	discussions	discussion	NOUN
ispiv-190	263	46	with	with	ADP
ispiv-190	263	47	prof	prof	NOUN
ispiv-190	263	48	.	.	PUNCT
ispiv-190	264	1	larsson	larsson	PROPN
ispiv-190	264	2	at	at	ADP
ispiv-190	264	3	uppsala	uppsala	PROPN
ispiv-190	264	4	university	university	PROPN
ispiv-190	264	5	and	and	CCONJ
ispiv-190	264	6	prof	prof	PROPN
ispiv-190	264	7	.	.	PUNCT
ispiv-190	265	1	wright	wright	PROPN
ispiv-190	265	2	from	from	ADP
ispiv-190	265	3	boise	boise	PROPN
ispiv-190	265	4	state	state	PROPN
ispiv-190	265	5	university	university	PROPN
ispiv-190	265	6	.	.	PUNCT
ispiv-190	266	1	references	reference	NOUN
ispiv-190	266	2	blazek	blazek	PROPN
ispiv-190	266	3	j	j	PROPN
ispiv-190	266	4	(	(	PUNCT
ispiv-190	266	5	2015	2015	NUM
ispiv-190	266	6	)	)	PUNCT
ispiv-190	266	7	computational	computational	ADJ
ispiv-190	266	8	fluid	fluid	ADJ
ispiv-190	266	9	dynamics	dynamic	NOUN
ispiv-190	266	10	:	:	PUNCT
ispiv-190	266	11	principles	principle	NOUN
ispiv-190	266	12	and	and	CCONJ
ispiv-190	266	13	applications	application	NOUN
ispiv-190	266	14	.	.	PUNCT
ispiv-190	267	1	butterworth	butterworth	PROPN
ispiv-190	267	2	-	-	PUNCT
ispiv-190	267	3	heinemann	heinemann	PROPN
ispiv-190	267	4	brandenburg	brandenburg	PROPN
ispiv-190	267	5	a	a	PROPN
ispiv-190	267	6	,	,	PUNCT
ispiv-190	267	7	johansen	johansen	PROPN
ispiv-190	267	8	a	a	X
ispiv-190	267	9	,	,	PUNCT
ispiv-190	267	10	bourdin	bourdin	VERB
ispiv-190	267	11	pa	pa	PROPN
ispiv-190	267	12	,	,	PUNCT
ispiv-190	267	13	dobler	dobler	NOUN
ispiv-190	267	14	w	w	PROPN
ispiv-190	267	15	,	,	PUNCT
ispiv-190	267	16	lyra	lyra	PROPN
ispiv-190	267	17	w	w	PROPN
ispiv-190	267	18	,	,	PUNCT
ispiv-190	267	19	rheinhardt	rheinhardt	PROPN
ispiv-190	267	20	m	m	PROPN
ispiv-190	267	21	,	,	PUNCT
ispiv-190	267	22	bingert	bingert	PROPN
ispiv-190	267	23	s	s	PROPN
ispiv-190	267	24	,	,	PUNCT
ispiv-190	267	25	haugen	haugen	PROPN
ispiv-190	267	26	nel	nel	PROPN
ispiv-190	267	27	,	,	PUNCT
ispiv-190	267	28	mee	mee	PROPN
ispiv-190	267	29	a	a	X
ispiv-190	267	30	,	,	PUNCT
ispiv-190	267	31	gent	gent	NOUN
ispiv-190	267	32	f	f	PROPN
ispiv-190	267	33	,	,	PUNCT
ispiv-190	267	34	babkovskaia	babkovskaia	PROPN
ispiv-190	267	35	n	n	CCONJ
ispiv-190	267	36	,	,	PUNCT
ispiv-190	267	37	yang	yang	PROPN
ispiv-190	267	38	cc	cc	PROPN
ispiv-190	267	39	,	,	PUNCT
ispiv-190	267	40	heinemann	heinemann	PROPN
ispiv-190	267	41	t	t	PROPN
ispiv-190	267	42	,	,	PUNCT
ispiv-190	267	43	dintrans	dintrans	PROPN
ispiv-190	267	44	b	b	PROPN
ispiv-190	267	45	,	,	PUNCT
ispiv-190	267	46	mitra	mitra	PROPN
ispiv-190	267	47	d	d	PROPN
ispiv-190	267	48	,	,	PUNCT
ispiv-190	267	49	candelaresi	candelaresi	PROPN
ispiv-190	267	50	s	s	PART
ispiv-190	267	51	,	,	PUNCT
ispiv-190	267	52	warnecke	warnecke	PROPN
ispiv-190	267	53	j	j	PROPN
ispiv-190	267	54	,	,	PUNCT
ispiv-190	267	55	käpylä	käpylä	PROPN
ispiv-190	267	56	pj	pj	PROPN
ispiv-190	267	57	,	,	PUNCT
ispiv-190	267	58	schreiber	schreiber	PROPN
ispiv-190	267	59	a	a	PROPN
ispiv-190	267	60	,	,	PUNCT
ispiv-190	267	61	chatterjee	chatterjee	PROPN
ispiv-190	267	62	p	p	PROPN
ispiv-190	267	63	,	,	PUNCT
ispiv-190	267	64	käpylä	käpylä	PROPN
ispiv-190	267	65	mj	mj	PROPN
ispiv-190	267	66	,	,	PUNCT
ispiv-190	267	67	li	li	PROPN
ispiv-190	267	68	xy	xy	PROPN
ispiv-190	267	69	,	,	PUNCT
ispiv-190	267	70	krüger	krüger	PROPN
ispiv-190	267	71	j	j	PROPN
ispiv-190	267	72	,	,	PUNCT
ispiv-190	267	73	aarnes	aarne	VERB
ispiv-190	267	74	jr	jr	PROPN
ispiv-190	267	75	,	,	PUNCT
ispiv-190	267	76	sarson	sarson	PROPN
ispiv-190	267	77	gr	gr	PROPN
ispiv-190	267	78	,	,	PUNCT
ispiv-190	267	79	oishi	oishi	PROPN
ispiv-190	267	80	js	js	PROPN
ispiv-190	267	81	,	,	PUNCT
ispiv-190	267	82	schober	schober	PROPN
ispiv-190	267	83	j	j	PROPN
ispiv-190	267	84	,	,	PUNCT
ispiv-190	267	85	plasson	plasson	NOUN
ispiv-190	267	86	r	r	NOUN
ispiv-190	267	87	,	,	PUNCT
ispiv-190	267	88	sandin	sandin	VERB
ispiv-190	267	89	c	c	X
ispiv-190	267	90	,	,	PUNCT
ispiv-190	267	91	karchniwy	karchniwy	PROPN
ispiv-190	267	92	e	e	PROPN
ispiv-190	267	93	,	,	PUNCT
ispiv-190	267	94	rodrigues	rodrigues	PROPN
ispiv-190	267	95	lfs	lfs	PROPN
ispiv-190	267	96	,	,	PUNCT
ispiv-190	267	97	hubbard	hubbard	PROPN
ispiv-190	267	98	a	a	PROPN
ispiv-190	267	99	,	,	PUNCT
ispiv-190	267	100	guerrero	guerrero	PROPN
ispiv-190	267	101	g	g	PROPN
ispiv-190	267	102	,	,	PUNCT
ispiv-190	267	103	snodin	snodin	VERB
ispiv-190	267	104	a	a	PRON
ispiv-190	267	105	,	,	PUNCT
ispiv-190	267	106	losada	losada	PROPN
ispiv-190	267	107	ir	ir	PROPN
ispiv-190	267	108	,	,	PUNCT
ispiv-190	267	109	pekkilä	pekkilä	PROPN
ispiv-190	267	110	j	j	PROPN
ispiv-190	267	111	,	,	PUNCT
ispiv-190	267	112	and	and	CCONJ
ispiv-190	267	113	qian	qian	PROPN
ispiv-190	267	114	c	c	PROPN
ispiv-190	267	115	(	(	PUNCT
ispiv-190	267	116	2021	2021	NUM
ispiv-190	267	117	)	)	PUNCT
ispiv-190	267	118	the	the	DET
ispiv-190	267	119	pencil	pencil	NOUN
ispiv-190	267	120	code	code	NOUN
ispiv-190	267	121	,	,	PUNCT
ispiv-190	267	122	a	a	DET
ispiv-190	267	123	modular	modular	ADJ
ispiv-190	267	124	mpi	mpi	PROPN
ispiv-190	267	125	code	code	NOUN
ispiv-190	267	126	for	for	ADP
ispiv-190	267	127	partial	partial	ADJ
ispiv-190	267	128	differential	differential	ADJ
ispiv-190	267	129	equations	equation	NOUN
ispiv-190	267	130	and	and	CCONJ
ispiv-190	267	131	particles	particle	NOUN
ispiv-190	267	132	:	:	PUNCT
ispiv-190	267	133	multipurpose	multipurpose	NOUN
ispiv-190	267	134	and	and	CCONJ
ispiv-190	267	135	multiuser	multiuser	NOUN
ispiv-190	267	136	-	-	PUNCT
ispiv-190	267	137	maintained	maintain	VERB
ispiv-190	267	138	.	.	PUNCT
ispiv-190	268	1	journal	journal	NOUN
ispiv-190	268	2	of	of	ADP
ispiv-190	268	3	open	open	ADJ
ispiv-190	268	4	source	source	NOUN
ispiv-190	268	5	software	software	NOUN
ispiv-190	268	6	6:2807	6:2807	NUM
ispiv-190	268	7	cheng	cheng	PROPN
ispiv-190	268	8	z	z	PROPN
ispiv-190	268	9	and	and	CCONJ
ispiv-190	268	10	wang	wang	PROPN
ispiv-190	268	11	j	j	PROPN
ispiv-190	268	12	(	(	PUNCT
ispiv-190	268	13	2019	2019	NUM
ispiv-190	268	14	)	)	PUNCT
ispiv-190	268	15	quantification	quantification	NOUN
ispiv-190	268	16	of	of	ADP
ispiv-190	268	17	the	the	DET
ispiv-190	268	18	strain	strain	NOUN
ispiv-190	268	19	field	field	NOUN
ispiv-190	268	20	of	of	ADP
ispiv-190	268	21	sands	sand	NOUN
ispiv-190	268	22	based	base	VERB
ispiv-190	268	23	on	on	ADP
ispiv-190	268	24	x	x	PROPN
ispiv-190	268	25	-	-	NOUN
ispiv-190	268	26	ray	ray	NOUN
ispiv-190	268	27	micro	micro	NOUN
ispiv-190	268	28	-	-	NOUN
ispiv-190	268	29	tomography	tomography	NOUN
ispiv-190	268	30	:	:	PUNCT
ispiv-190	268	31	a	a	DET
ispiv-190	268	32	comparison	comparison	NOUN
ispiv-190	268	33	between	between	ADP
ispiv-190	268	34	a	a	DET
ispiv-190	268	35	grid	grid	NOUN
ispiv-190	268	36	-	-	PUNCT
ispiv-190	268	37	based	base	VERB
ispiv-190	268	38	method	method	NOUN
ispiv-190	268	39	and	and	CCONJ
ispiv-190	268	40	a	a	DET
ispiv-190	268	41	mesh	mesh	NOUN
ispiv-190	268	42	-	-	PUNCT
ispiv-190	268	43	based	base	VERB
ispiv-190	268	44	method	method	NOUN
ispiv-190	268	45	.	.	PUNCT
ispiv-190	269	1	powder	powder	NOUN
ispiv-190	269	2	technology	technology	NOUN
ispiv-190	269	3	344:314–334	344:314–334	PROPN
ispiv-190	269	4	fasshauer	fasshauer	PROPN
ispiv-190	269	5	ge	ge	PROPN
ispiv-190	269	6	(	(	PUNCT
ispiv-190	269	7	2007	2007	NUM
ispiv-190	269	8	)	)	PUNCT
ispiv-190	269	9	meshfree	meshfree	NOUN
ispiv-190	269	10	approximation	approximation	NOUN
ispiv-190	269	11	methods	method	NOUN
ispiv-190	269	12	with	with	ADP
ispiv-190	269	13	matlab	matlab	PROPN
ispiv-190	269	14	.	.	PUNCT
ispiv-190	270	1	volume	volume	NOUN
ispiv-190	270	2	6	6	NUM
ispiv-190	270	3	.	.	PUNCT
ispiv-190	271	1	world	world	PROPN
ispiv-190	271	2	scientific	scientific	PROPN
ispiv-190	271	3	fornberg	fornberg	PROPN
ispiv-190	271	4	b	b	PROPN
ispiv-190	271	5	,	,	PUNCT
ispiv-190	271	6	larsson	larsson	PROPN
ispiv-190	271	7	e	e	NOUN
ispiv-190	271	8	,	,	PUNCT
ispiv-190	271	9	and	and	CCONJ
ispiv-190	271	10	flyer	flyer	NOUN
ispiv-190	271	11	n	n	CCONJ
ispiv-190	271	12	(	(	PUNCT
ispiv-190	271	13	2011	2011	NUM
ispiv-190	271	14	)	)	PUNCT
ispiv-190	271	15	stable	stable	ADJ
ispiv-190	271	16	computations	computation	NOUN
ispiv-190	271	17	with	with	ADP
ispiv-190	271	18	gaussian	gaussian	ADJ
ispiv-190	271	19	radial	radial	ADJ
ispiv-190	271	20	basis	basis	NOUN
ispiv-190	271	21	functions	function	NOUN
ispiv-190	271	22	.	.	PUNCT
ispiv-190	272	1	siam	siam	PROPN
ispiv-190	272	2	journal	journal	PROPN
ispiv-190	272	3	on	on	ADP
ispiv-190	272	4	scientific	scientific	ADJ
ispiv-190	272	5	computing	computing	PROPN
ispiv-190	272	6	33:869–892	33:869–892	PROPN
ispiv-190	272	7	fornberg	fornberg	PROPN
ispiv-190	272	8	b	b	PROPN
ispiv-190	272	9	,	,	PUNCT
ispiv-190	272	10	lehto	lehto	NOUN
ispiv-190	272	11	e	e	NOUN
ispiv-190	272	12	,	,	PUNCT
ispiv-190	272	13	and	and	CCONJ
ispiv-190	272	14	powell	powell	PROPN
ispiv-190	272	15	c	c	PROPN
ispiv-190	272	16	(	(	PUNCT
ispiv-190	272	17	2013	2013	NUM
ispiv-190	272	18	)	)	PUNCT
ispiv-190	272	19	stable	stable	ADJ
ispiv-190	272	20	calculation	calculation	NOUN
ispiv-190	272	21	of	of	ADP
ispiv-190	272	22	gaussian	gaussian	NOUN
ispiv-190	272	23	-	-	PUNCT
ispiv-190	272	24	based	base	VERB
ispiv-190	272	25	rbf	rbf	PROPN
ispiv-190	272	26	-	-	PUNCT
ispiv-190	272	27	fd	fd	PROPN
ispiv-190	272	28	stencils	stencil	NOUN
ispiv-190	272	29	.	.	PUNCT
ispiv-190	273	1	computers	computer	NOUN
ispiv-190	273	2	&	&	CCONJ
ispiv-190	273	3	mathematics	mathematics	PROPN
ispiv-190	273	4	with	with	ADP
ispiv-190	273	5	applications	application	NOUN
ispiv-190	273	6	65:627–637	65:627–637	PROPN
ispiv-190	273	7	fornberg	fornberg	PROPN
ispiv-190	273	8	b	b	PROPN
ispiv-190	273	9	and	and	CCONJ
ispiv-190	273	10	wright	wright	PROPN
ispiv-190	273	11	g	g	PROPN
ispiv-190	273	12	(	(	PUNCT
ispiv-190	273	13	2004	2004	NUM
ispiv-190	273	14	)	)	PUNCT
ispiv-190	273	15	stable	stable	ADJ
ispiv-190	273	16	computation	computation	NOUN
ispiv-190	273	17	of	of	ADP
ispiv-190	273	18	multiquadric	multiquadric	ADJ
ispiv-190	273	19	interpolants	interpolant	NOUN
ispiv-190	273	20	for	for	ADP
ispiv-190	273	21	all	all	DET
ispiv-190	273	22	values	value	NOUN
ispiv-190	273	23	of	of	ADP
ispiv-190	273	24	the	the	DET
ispiv-190	273	25	shape	shape	NOUN
ispiv-190	273	26	parameter	parameter	NOUN
ispiv-190	273	27	.	.	PUNCT
ispiv-190	274	1	computers	computer	NOUN
ispiv-190	274	2	&	&	CCONJ
ispiv-190	274	3	mathematics	mathematics	PROPN
ispiv-190	274	4	with	with	ADP
ispiv-190	274	5	applications	application	NOUN
ispiv-190	274	6	48:853–867	48:853–867	NUM
ispiv-190	274	7	jeon	jeon	PROPN
ispiv-190	274	8	y	y	PROPN
ispiv-190	274	9	,	,	PUNCT
ispiv-190	274	10	schneiders	schneiders	PROPN
ispiv-190	274	11	j	j	PROPN
ispiv-190	274	12	,	,	PUNCT
ispiv-190	274	13	müller	müller	PROPN
ispiv-190	274	14	m	m	PROPN
ispiv-190	274	15	,	,	PUNCT
ispiv-190	274	16	michaelis	michaelis	PROPN
ispiv-190	274	17	d	d	NOUN
ispiv-190	274	18	,	,	PUNCT
ispiv-190	274	19	and	and	CCONJ
ispiv-190	274	20	wieneke	wieneke	PROPN
ispiv-190	274	21	b	b	PROPN
ispiv-190	274	22	(	(	PUNCT
ispiv-190	274	23	2018	2018	NUM
ispiv-190	274	24	)	)	PUNCT
ispiv-190	274	25	4d	4d	NUM
ispiv-190	274	26	flow	flow	NOUN
ispiv-190	274	27	field	field	NOUN
ispiv-190	274	28	reconstruction	reconstruction	NOUN
ispiv-190	274	29	from	from	ADP
ispiv-190	274	30	particle	particle	NOUN
ispiv-190	274	31	tracks	track	NOUN
ispiv-190	274	32	by	by	ADP
ispiv-190	274	33	vic+	vic+	NOUN
ispiv-190	274	34	with	with	ADP
ispiv-190	274	35	additional	additional	ADJ
ispiv-190	274	36	constraints	constraint	NOUN
ispiv-190	274	37	and	and	CCONJ
ispiv-190	274	38	multigrid	multigrid	NOUN
ispiv-190	274	39	approximation	approximation	NOUN
ispiv-190	274	40	.	.	PUNCT
ispiv-190	275	1	in	in	ADP
ispiv-190	275	2	proceedings	proceeding	NOUN
ispiv-190	275	3	18th	18th	ADJ
ispiv-190	275	4	international	international	ADJ
ispiv-190	275	5	symposium	symposium	NOUN
ispiv-190	275	6	on	on	ADP
ispiv-190	275	7	flow	flow	NOUN
ispiv-190	275	8	visualization	visualization	NOUN
ispiv-190	275	9	.	.	PUNCT
ispiv-190	276	1	eth	eth	PROPN
ispiv-190	276	2	zurich	zurich	PROPN
ispiv-190	276	3	kitzhofer	kitzhofer	PROPN
ispiv-190	276	4	j	j	PROPN
ispiv-190	276	5	,	,	PUNCT
ispiv-190	276	6	westfeld	westfeld	VERB
ispiv-190	276	7	p	p	NOUN
ispiv-190	276	8	,	,	PUNCT
ispiv-190	276	9	pust	pust	PROPN
ispiv-190	276	10	o	o	NOUN
ispiv-190	276	11	,	,	PUNCT
ispiv-190	276	12	nonn	nonn	PROPN
ispiv-190	276	13	t	t	PROPN
ispiv-190	276	14	,	,	PUNCT
ispiv-190	276	15	maas	maas	PROPN
ispiv-190	276	16	h	h	NOUN
ispiv-190	276	17	,	,	PUNCT
ispiv-190	276	18	and	and	CCONJ
ispiv-190	276	19	brücker	brücker	NOUN
ispiv-190	276	20	c	c	PROPN
ispiv-190	276	21	(	(	PUNCT
ispiv-190	276	22	2010	2010	NUM
ispiv-190	276	23	)	)	PUNCT
ispiv-190	276	24	estimation	estimation	NOUN
ispiv-190	276	25	of	of	ADP
ispiv-190	276	26	3d	3d	NUM
ispiv-190	276	27	deformation	deformation	NOUN
ispiv-190	276	28	and	and	CCONJ
ispiv-190	276	29	rotation	rotation	NOUN
ispiv-190	276	30	rate	rate	NOUN
ispiv-190	276	31	tensor	tensor	NOUN
ispiv-190	276	32	from	from	ADP
ispiv-190	276	33	volumetric	volumetric	NOUN
ispiv-190	276	34	particle	particle	NOUN
ispiv-190	276	35	data	datum	NOUN
ispiv-190	276	36	via	via	ADP
ispiv-190	276	37	3d	3d	PROPN
ispiv-190	276	38	least	least	ADJ
ispiv-190	276	39	squares	square	NOUN
ispiv-190	276	40	matching	match	VERB
ispiv-190	276	41	.	.	PUNCT
ispiv-190	277	1	in	in	ADP
ispiv-190	277	2	proc	proc	NOUN
ispiv-190	277	3	.	.	PUNCT
ispiv-190	278	1	15th	15th	ADJ
ispiv-190	278	2	int	int	NOUN
ispiv-190	278	3	.	.	PUNCT
ispiv-190	279	1	symp	symp	PROPN
ispiv-190	279	2	.	.	PUNCT
ispiv-190	280	1	on	on	ADP
ispiv-190	280	2	applications	application	NOUN
ispiv-190	280	3	of	of	ADP
ispiv-190	280	4	laser	laser	NOUN
ispiv-190	280	5	techniques	technique	NOUN
ispiv-190	280	6	to	to	ADP
ispiv-190	280	7	fluid	fluid	ADJ
ispiv-190	280	8	mechanics	mechanic	NOUN
ispiv-190	280	9	larsson	larsson	PROPN
ispiv-190	280	10	e	e	NOUN
ispiv-190	280	11	,	,	PUNCT
ispiv-190	280	12	lehto	lehto	NOUN
ispiv-190	280	13	e	e	NOUN
ispiv-190	280	14	,	,	PUNCT
ispiv-190	280	15	heryudono	heryudono	X
ispiv-190	280	16	a	a	PRON
ispiv-190	280	17	,	,	PUNCT
ispiv-190	280	18	and	and	CCONJ
ispiv-190	280	19	fornberg	fornberg	PROPN
ispiv-190	280	20	b	b	PROPN
ispiv-190	280	21	(	(	PUNCT
ispiv-190	280	22	2013	2013	NUM
ispiv-190	280	23	)	)	PUNCT
ispiv-190	280	24	stable	stable	ADJ
ispiv-190	280	25	computation	computation	NOUN
ispiv-190	280	26	of	of	ADP
ispiv-190	280	27	differentiation	differentiation	NOUN
ispiv-190	280	28	matrices	matrix	NOUN
ispiv-190	280	29	and	and	CCONJ
ispiv-190	280	30	scattered	scatter	VERB
ispiv-190	280	31	node	node	ADJ
ispiv-190	280	32	stencils	stencil	NOUN
ispiv-190	280	33	based	base	VERB
ispiv-190	280	34	on	on	ADP
ispiv-190	280	35	gaussian	gaussian	ADJ
ispiv-190	280	36	radial	radial	ADJ
ispiv-190	280	37	basis	basis	NOUN
ispiv-190	280	38	functions	function	NOUN
ispiv-190	280	39	.	.	PUNCT
ispiv-190	281	1	siam	siam	PROPN
ispiv-190	281	2	journal	journal	PROPN
ispiv-190	281	3	on	on	ADP
ispiv-190	281	4	scientific	scientific	ADJ
ispiv-190	281	5	computing	computing	NOUN
ispiv-190	281	6	35	35	NUM
ispiv-190	281	7	:	:	PUNCT
ispiv-190	281	8	a2096	a2096	NOUN
ispiv-190	281	9	–	–	PUNCT
ispiv-190	281	10	a2119	a2119	NUM
ispiv-190	281	11	larsson	larsson	NOUN
ispiv-190	281	12	e	e	NOUN
ispiv-190	281	13	,	,	PUNCT
ispiv-190	281	14	shcherbakov	shcherbakov	NOUN
ispiv-190	281	15	v	v	NOUN
ispiv-190	281	16	,	,	PUNCT
ispiv-190	281	17	and	and	CCONJ
ispiv-190	281	18	heryudono	heryudono	VERB
ispiv-190	281	19	a	a	DET
ispiv-190	281	20	(	(	PUNCT
ispiv-190	281	21	2017	2017	NUM
ispiv-190	281	22	)	)	PUNCT
ispiv-190	281	23	a	a	PRON
ispiv-190	281	24	least	least	ADJ
ispiv-190	281	25	squares	square	NOUN
ispiv-190	281	26	radial	radial	ADJ
ispiv-190	281	27	basis	basis	NOUN
ispiv-190	281	28	function	function	NOUN
ispiv-190	281	29	partition	partition	NOUN
ispiv-190	281	30	of	of	ADP
ispiv-190	281	31	unity	unity	NOUN
ispiv-190	281	32	method	method	NOUN
ispiv-190	281	33	for	for	ADP
ispiv-190	281	34	solving	solve	VERB
ispiv-190	281	35	pdes	pde	NOUN
ispiv-190	281	36	.	.	PUNCT
ispiv-190	282	1	siam	siam	PROPN
ispiv-190	282	2	journal	journal	PROPN
ispiv-190	282	3	on	on	ADP
ispiv-190	282	4	scientific	scientific	ADJ
ispiv-190	282	5	computing	computing	NOUN
ispiv-190	282	6	39	39	NUM
ispiv-190	282	7	:	:	PUNCT
ispiv-190	282	8	a2538	a2538	NUM
ispiv-190	282	9	–	–	PUNCT
ispiv-190	282	10	a2563	a2563	VERB
ispiv-190	282	11	panton	panton	NOUN
ispiv-190	282	12	rl	rl	PROPN
ispiv-190	282	13	(	(	PUNCT
ispiv-190	282	14	2006	2006	NUM
ispiv-190	282	15	)	)	PUNCT
ispiv-190	282	16	incompressible	incompressible	ADJ
ispiv-190	282	17	flow	flow	NOUN
ispiv-190	282	18	.	.	PUNCT
ispiv-190	283	1	john	john	PROPN
ispiv-190	283	2	wiley	wiley	PROPN
ispiv-190	283	3	&	&	CCONJ
ispiv-190	283	4	sons	sons	PROPN
ispiv-190	283	5	rosi	rosi	PROPN
ispiv-190	283	6	ga	ga	PROPN
ispiv-190	283	7	,	,	PUNCT
ispiv-190	283	8	walker	walker	PROPN
ispiv-190	283	9	am	am	PROPN
ispiv-190	283	10	,	,	PUNCT
ispiv-190	283	11	and	and	CCONJ
ispiv-190	283	12	rival	rival	ADJ
ispiv-190	283	13	de	de	X
ispiv-190	283	14	(	(	PUNCT
ispiv-190	283	15	2015	2015	NUM
ispiv-190	283	16	)	)	PUNCT
ispiv-190	283	17	lagrangian	lagrangian	ADJ
ispiv-190	283	18	coherent	coherent	ADJ
ispiv-190	283	19	structure	structure	NOUN
ispiv-190	283	20	identification	identification	NOUN
ispiv-190	283	21	using	use	VERB
ispiv-190	283	22	a	a	DET
ispiv-190	283	23	voronoi	voronoi	ADJ
ispiv-190	283	24	tessellation	tessellation	NOUN
ispiv-190	283	25	-	-	PUNCT
ispiv-190	283	26	based	base	VERB
ispiv-190	283	27	networking	networking	NOUN
ispiv-190	283	28	algorithm	algorithm	NOUN
ispiv-190	283	29	.	.	PUNCT
ispiv-190	284	1	experiments	experiment	NOUN
ispiv-190	284	2	in	in	ADP
ispiv-190	284	3	fluids	fluid	NOUN
ispiv-190	284	4	56:1–14	56:1–14	PRON
ispiv-190	284	5	schanz	schanz	NOUN
ispiv-190	285	1	d	d	NOUN
ispiv-190	285	2	,	,	PUNCT
ispiv-190	285	3	gesemann	gesemann	PROPN
ispiv-190	285	4	s	s	PART
ispiv-190	285	5	,	,	PUNCT
ispiv-190	285	6	and	and	CCONJ
ispiv-190	285	7	schrder	schrder	VERB
ispiv-190	285	8	a	a	DET
ispiv-190	285	9	(	(	PUNCT
ispiv-190	285	10	2016	2016	NUM
ispiv-190	285	11	)	)	PUNCT
ispiv-190	285	12	shake	shake	NOUN
ispiv-190	285	13	-	-	PUNCT
ispiv-190	285	14	the	the	DET
ispiv-190	285	15	-	-	PUNCT
ispiv-190	285	16	box	box	NOUN
ispiv-190	285	17	:	:	PUNCT
ispiv-190	285	18	lagrangian	lagrangian	ADJ
ispiv-190	285	19	particle	particle	NOUN
ispiv-190	285	20	tracking	tracking	NOUN
ispiv-190	285	21	at	at	ADP
ispiv-190	285	22	high	high	ADJ
ispiv-190	285	23	particle	particle	NOUN
ispiv-190	285	24	image	image	NOUN
ispiv-190	285	25	densities	density	NOUN
ispiv-190	285	26	.	.	PUNCT
ispiv-190	286	1	experiments	experiment	NOUN
ispiv-190	286	2	in	in	ADP
ispiv-190	286	3	fluids	fluid	NOUN
ispiv-190	286	4	57:70	57:70	NUM
ispiv-190	286	5	sellappan	sellappan	NOUN
ispiv-190	286	6	p	p	NOUN
ispiv-190	286	7	,	,	PUNCT
ispiv-190	286	8	alvi	alvi	PROPN
ispiv-190	286	9	fs	fs	PROPN
ispiv-190	286	10	,	,	PUNCT
ispiv-190	286	11	and	and	CCONJ
ispiv-190	286	12	cattafesta	cattafesta	ADP
ispiv-190	286	13	ln	ln	ADJ
ispiv-190	286	14	(	(	PUNCT
ispiv-190	286	15	2020	2020	NUM
ispiv-190	286	16	)	)	PUNCT
ispiv-190	286	17	lagrangian	lagrangian	ADJ
ispiv-190	286	18	and	and	CCONJ
ispiv-190	286	19	eulerian	eulerian	ADJ
ispiv-190	286	20	measurements	measurement	NOUN
ispiv-190	286	21	in	in	ADP
ispiv-190	286	22	high	high	ADJ
ispiv-190	286	23	-	-	PUNCT
ispiv-190	286	24	speed	speed	NOUN
ispiv-190	286	25	jets	jet	NOUN
ispiv-190	286	26	using	use	VERB
ispiv-190	286	27	multi	multi	ADJ
ispiv-190	286	28	-	-	ADJ
ispiv-190	286	29	pulse	pulse	ADJ
ispiv-190	286	30	shake	shake	NOUN
ispiv-190	286	31	-	-	PUNCT
ispiv-190	286	32	the	the	DET
ispiv-190	286	33	-	-	PUNCT
ispiv-190	286	34	box	box	NOUN
ispiv-190	286	35	and	and	CCONJ
ispiv-190	286	36	fine	fine	ADJ
ispiv-190	286	37	scale	scale	NOUN
ispiv-190	286	38	reconstruction	reconstruction	NOUN
ispiv-190	286	39	(	(	PUNCT
ispiv-190	286	40	vic	vic	NOUN
ispiv-190	286	41	#	#	NOUN
ispiv-190	286	42	)	)	PUNCT
ispiv-190	286	43	.	.	PUNCT
ispiv-190	287	1	experiments	experiment	NOUN
ispiv-190	287	2	in	in	ADP
ispiv-190	287	3	fluids	fluid	NOUN
ispiv-190	287	4	61:1–17	61:1–17	NUM
ispiv-190	287	5	shepard	shepard	NOUN
ispiv-190	287	6	d	d	PROPN
ispiv-190	287	7	(	(	PUNCT
ispiv-190	287	8	1968	1968	NUM
ispiv-190	287	9	)	)	PUNCT
ispiv-190	287	10	a	a	DET
ispiv-190	287	11	two	two	NUM
ispiv-190	287	12	-	-	PUNCT
ispiv-190	287	13	dimensional	dimensional	ADJ
ispiv-190	287	14	interpolation	interpolation	NOUN
ispiv-190	287	15	function	function	NOUN
ispiv-190	287	16	for	for	ADP
ispiv-190	287	17	irregularly	irregularly	ADV
ispiv-190	287	18	-	-	PUNCT
ispiv-190	287	19	spaced	space	VERB
ispiv-190	287	20	data	datum	NOUN
ispiv-190	287	21	.	.	PUNCT
ispiv-190	288	1	in	in	ADP
ispiv-190	288	2	proceedings	proceeding	NOUN
ispiv-190	288	3	of	of	ADP
ispiv-190	288	4	the	the	DET
ispiv-190	288	5	1968	1968	NUM
ispiv-190	288	6	23rd	23rd	NOUN
ispiv-190	288	7	acm	acm	PROPN
ispiv-190	288	8	national	national	PROPN
ispiv-190	288	9	conference	conference	NOUN
ispiv-190	288	10	.	.	PUNCT
ispiv-190	289	1	pages	page	NOUN
ispiv-190	289	2	517–524	517–524	PROPN
ispiv-190	289	3	takano	takano	PROPN
ispiv-190	289	4	y	y	PROPN
ispiv-190	289	5	,	,	PUNCT
ispiv-190	289	6	etoh	etoh	PROPN
ispiv-190	289	7	gt	gt	PROPN
ispiv-190	289	8	,	,	PUNCT
ispiv-190	289	9	and	and	CCONJ
ispiv-190	289	10	tsujimoto	tsujimoto	NOUN
ispiv-190	289	11	g	g	PROPN
ispiv-190	289	12	(	(	PUNCT
ispiv-190	289	13	2012	2012	NUM
ispiv-190	289	14	)	)	PUNCT
ispiv-190	289	15	measurements	measurement	NOUN
ispiv-190	289	16	of	of	ADP
ispiv-190	289	17	vortex	vortex	NOUN
ispiv-190	289	18	generation	generation	NOUN
ispiv-190	289	19	and	and	CCONJ
ispiv-190	289	20	motion	motion	NOUN
ispiv-190	289	21	at	at	ADP
ispiv-190	289	22	wind	wind	NOUN
ispiv-190	289	23	wave	wave	NOUN
ispiv-190	289	24	surfaces	surface	NOUN
ispiv-190	289	25	.	.	PUNCT
ispiv-190	290	1	coastal	coastal	ADJ
ispiv-190	290	2	engineering	engineering	NOUN
ispiv-190	290	3	proceedings	proceeding	NOUN
ispiv-190	290	4	pages	page	VERB
ispiv-190	290	5	28–28	28–28	NUM
ispiv-190	290	6	takehara	takehara	NOUN
ispiv-190	290	7	k	k	PROPN
ispiv-190	290	8	and	and	CCONJ
ispiv-190	290	9	etoh	etoh	PROPN
ispiv-190	290	10	t	t	PROPN
ispiv-190	290	11	(	(	PUNCT
ispiv-190	290	12	2009	2009	NUM
ispiv-190	290	13	)	)	PUNCT
ispiv-190	290	14	accurate	accurate	ADJ
ispiv-190	290	15	estimation	estimation	NOUN
ispiv-190	290	16	of	of	ADP
ispiv-190	290	17	vorticty	vorticty	NOUN
ispiv-190	290	18	from	from	ADP
ispiv-190	290	19	ptv	ptv	PROPN
ispiv-190	290	20	velocity	velocity	NOUN
ispiv-190	290	21	distribution	distribution	NOUN
ispiv-190	290	22	.	.	PUNCT
ispiv-190	291	1	in	in	ADP
ispiv-190	291	2	proc	proc	NOUN
ispiv-190	291	3	.	.	PUNCT
ispiv-190	292	1	of	of	ADP
ispiv-190	292	2	8th	8th	ADJ
ispiv-190	292	3	international	international	ADJ
ispiv-190	292	4	symposium	symposium	NOUN
ispiv-190	292	5	on	on	ADP
ispiv-190	292	6	particle	particle	NOUN
ispiv-190	292	7	image	image	NOUN
ispiv-190	292	8	velocimetry	velocimetry	NOUN
ispiv-190	292	9	-	-	PUNCT
ispiv-190	292	10	piv09	piv09	NOUN
ispiv-190	292	11	.	.	PUNCT
ispiv-190	293	1	volume	volume	NOUN
ispiv-190	293	2	185	185	NUM
ispiv-190	293	3	wendland	wendland	NOUN
ispiv-190	293	4	h	h	NOUN
ispiv-190	293	5	(	(	PUNCT
ispiv-190	293	6	1995	1995	NUM
ispiv-190	293	7	)	)	PUNCT
ispiv-190	294	1	piecewise	piecewise	NOUN
ispiv-190	294	2	polynomial	polynomial	ADJ
ispiv-190	294	3	,	,	PUNCT
ispiv-190	294	4	positive	positive	ADJ
ispiv-190	294	5	definite	definite	ADJ
ispiv-190	294	6	and	and	CCONJ
ispiv-190	294	7	compactly	compactly	ADV
ispiv-190	294	8	supported	support	VERB
ispiv-190	294	9	radial	radial	ADJ
ispiv-190	294	10	functions	function	NOUN
ispiv-190	294	11	of	of	ADP
ispiv-190	294	12	minimal	minimal	ADJ
ispiv-190	294	13	degree	degree	NOUN
ispiv-190	294	14	.	.	PUNCT
ispiv-190	295	1	advances	advance	NOUN
ispiv-190	295	2	in	in	ADP
ispiv-190	295	3	computational	computational	ADJ
ispiv-190	295	4	mathematics	mathematic	NOUN
ispiv-190	295	5	4:389–396	4:389–396	PROPN
ispiv-190	295	6	wright	wright	PROPN
ispiv-190	295	7	gb	gb	PROPN
ispiv-190	295	8	and	and	CCONJ
ispiv-190	295	9	fornberg	fornberg	PROPN
ispiv-190	295	10	b	b	PROPN
ispiv-190	295	11	(	(	PUNCT
ispiv-190	295	12	2016	2016	NUM
ispiv-190	295	13	)	)	PUNCT
ispiv-190	295	14	stable	stable	ADJ
ispiv-190	295	15	computations	computation	NOUN
ispiv-190	295	16	with	with	ADP
ispiv-190	295	17	flat	flat	ADJ
ispiv-190	295	18	radial	radial	ADJ
ispiv-190	295	19	basis	basis	NOUN
ispiv-190	295	20	functions	function	NOUN
ispiv-190	295	21	using	use	VERB
ispiv-190	295	22	vector	vector	NOUN
ispiv-190	295	23	-	-	PUNCT
ispiv-190	295	24	valued	value	VERB
ispiv-190	295	25	rational	rational	ADJ
ispiv-190	295	26	approximations	approximation	NOUN
ispiv-190	295	27	.	.	PUNCT
ispiv-190	296	1	journal	journal	NOUN
ispiv-190	296	2	of	of	ADP
ispiv-190	296	3	computational	computational	ADJ
ispiv-190	296	4	physics	physics	NOUN
ispiv-190	296	5	331	331	NUM
ispiv-190	296	6	introduction	introduction	NOUN
ispiv-190	296	7	data	datum	NOUN
ispiv-190	296	8	processing	processing	NOUN
ispiv-190	296	9	:	:	PUNCT
ispiv-190	296	10	rbf	rbf	PROPN
ispiv-190	296	11	-	-	PROPN
ispiv-190	296	12	qr	qr	PROPN
ispiv-190	296	13	and	and	CCONJ
ispiv-190	296	14	pum	pum	PROPN
ispiv-190	296	15	for	for	ADP
ispiv-190	296	16	stable	stable	ADJ
ispiv-190	296	17	gradient	gradient	NOUN
ispiv-190	296	18	evaluation	evaluation	NOUN
ispiv-190	296	19	rbf	rbf	PROPN
ispiv-190	296	20	-	-	PROPN
ispiv-190	296	21	qr	qr	PROPN
ispiv-190	296	22	as	as	ADP
ispiv-190	296	23	stable	stable	ADJ
ispiv-190	296	24	mesh	mesh	NOUN
ispiv-190	296	25	-	-	PUNCT
ispiv-190	296	26	free	free	ADJ
ispiv-190	296	27	method	method	NOUN
ispiv-190	296	28	localization	localization	NOUN
ispiv-190	296	29	by	by	ADP
ispiv-190	296	30	partition	partition	NOUN
ispiv-190	296	31	of	of	ADP
ispiv-190	296	32	unity	unity	NOUN
ispiv-190	296	33	method	method	NOUN
ispiv-190	296	34	(	(	PUNCT
ispiv-190	296	35	pum	pum	NOUN
ispiv-190	296	36	)	)	PUNCT
ispiv-190	296	37	pre	pre	ADJ
ispiv-190	296	38	-	-	ADJ
ispiv-190	296	39	processing	processing	ADJ
ispiv-190	296	40	:	:	PUNCT
ispiv-190	296	41	data	datum	NOUN
ispiv-190	296	42	layout	layout	NOUN
ispiv-190	296	43	enhancing	enhance	VERB
ispiv-190	296	44	and	and	CCONJ
ispiv-190	296	45	smoothing	smooth	VERB
ispiv-190	296	46	post	post	ADJ
ispiv-190	296	47	-	-	ADJ
ispiv-190	296	48	processing	processing	ADJ
ispiv-190	296	49	:	:	PUNCT
ispiv-190	296	50	outlier	outlier	NOUN
ispiv-190	296	51	detection	detection	NOUN
ispiv-190	296	52	and	and	CCONJ
ispiv-190	296	53	removal	removal	NOUN
ispiv-190	296	54	validation	validation	NOUN
ispiv-190	296	55	on	on	ADP
ispiv-190	296	56	simulated	simulate	VERB
ispiv-190	296	57	ptv	ptv	PROPN
ispiv-190	296	58	data	datum	NOUN
ispiv-190	296	59	application	application	NOUN
ispiv-190	296	60	to	to	ADP
ispiv-190	296	61	experimental	experimental	ADJ
ispiv-190	296	62	data	datum	NOUN
ispiv-190	296	63	conclusion	conclusion	NOUN
ispiv-190	296	64	and	and	CCONJ
ispiv-190	296	65	discussions	discussion	NOUN