id	sid	tid	token	lemma	pos
ap-5826	1	1	acta	acta	PROPN
ap-5826	1	2	polytechnica	polytechnica	PROPN
ap-5826	1	3	doi:10.14311	doi:10.14311	PROPN
ap-5826	1	4	/	/	SYM
ap-5826	1	5	ap.2019.59.0593	ap.2019.59.0593	PROPN
ap-5826	1	6	acta	acta	PROPN
ap-5826	1	7	polytechnica	polytechnica	PROPN
ap-5826	1	8	59(6):593–600	59(6):593–600	PROPN
ap-5826	1	9	,	,	PUNCT
ap-5826	1	10	2019	2019	NUM
ap-5826	1	11	©	©	PROPN
ap-5826	1	12	czech	czech	PROPN
ap-5826	1	13	technical	technical	PROPN
ap-5826	1	14	university	university	PROPN
ap-5826	1	15	in	in	ADP
ap-5826	1	16	prague	prague	PROPN
ap-5826	1	17	,	,	PUNCT
ap-5826	1	18	2019	2019	NUM
ap-5826	1	19	available	available	ADJ
ap-5826	1	20	online	online	ADV
ap-5826	1	21	at	at	ADP
ap-5826	1	22	https://ojs.cvut.cz/ojs/index.php/ap	https://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-5826	1	23	optimization	optimization	NOUN
ap-5826	1	24	of	of	ADP
ap-5826	1	25	computational	computational	ADJ
ap-5826	1	26	burden	burden	NOUN
ap-5826	1	27	of	of	ADP
ap-5826	1	28	the	the	DET
ap-5826	1	29	point	point	NOUN
ap-5826	1	30	information	information	NOUN
ap-5826	1	31	gain	gain	NOUN
ap-5826	1	32	jan	jan	PROPN
ap-5826	1	33	urban∗	urban∗	PROPN
ap-5826	1	34	,	,	PUNCT
ap-5826	1	35	renata	renata	PROPN
ap-5826	1	36	rychtáriková	rychtáriková	PROPN
ap-5826	1	37	,	,	PUNCT
ap-5826	1	38	petr	petr	PROPN
ap-5826	1	39	macháček	macháček	PROPN
ap-5826	1	40	,	,	PUNCT
ap-5826	1	41	dalibor	dalibor	PROPN
ap-5826	1	42	štys	štys	PROPN
ap-5826	1	43	,	,	PUNCT
ap-5826	1	44	pavla	pavla	NOUN
ap-5826	1	45	urbanová	urbanová	NOUN
ap-5826	1	46	,	,	PUNCT
ap-5826	1	47	petr	petr	PROPN
ap-5826	1	48	císař	císař	VERB
ap-5826	1	49	university	university	PROPN
ap-5826	1	50	of	of	ADP
ap-5826	1	51	south	south	PROPN
ap-5826	1	52	bohemia	bohemia	NOUN
ap-5826	1	53	in	in	ADP
ap-5826	1	54	české	české	PROPN
ap-5826	1	55	budějovice	budějovice	PROPN
ap-5826	1	56	,	,	PUNCT
ap-5826	1	57	faculty	faculty	NOUN
ap-5826	1	58	of	of	ADP
ap-5826	1	59	fisheries	fishery	NOUN
ap-5826	1	60	and	and	CCONJ
ap-5826	1	61	protection	protection	NOUN
ap-5826	1	62	of	of	ADP
ap-5826	1	63	waters	water	NOUN
ap-5826	1	64	,	,	PUNCT
ap-5826	1	65	south	south	ADJ
ap-5826	1	66	bohemian	bohemian	ADJ
ap-5826	1	67	research	research	NOUN
ap-5826	1	68	center	center	NOUN
ap-5826	1	69	of	of	ADP
ap-5826	1	70	aquaculture	aquaculture	NOUN
ap-5826	1	71	and	and	CCONJ
ap-5826	1	72	biodiversity	biodiversity	NOUN
ap-5826	1	73	of	of	ADP
ap-5826	1	74	hydrocenoses	hydrocenose	NOUN
ap-5826	1	75	,	,	PUNCT
ap-5826	1	76	kompetenzzentrum	kompetenzzentrum	NOUN
ap-5826	1	77	mechanobiologie	mechanobiologie	NOUN
ap-5826	1	78	in	in	ADP
ap-5826	1	79	regenerativer	regenerativer	NOUN
ap-5826	1	80	medizin	medizin	PROPN
ap-5826	1	81	,	,	PUNCT
ap-5826	1	82	institute	institute	NOUN
ap-5826	1	83	of	of	ADP
ap-5826	1	84	complex	complex	ADJ
ap-5826	1	85	systems	system	NOUN
ap-5826	1	86	,	,	PUNCT
ap-5826	1	87	zámek	zámek	NOUN
ap-5826	1	88	136	136	NUM
ap-5826	1	89	,	,	PUNCT
ap-5826	1	90	373	373	NUM
ap-5826	1	91	33	33	NUM
ap-5826	1	92	nové	nové	PROPN
ap-5826	1	93	hrady	hrady	PROPN
ap-5826	1	94	,	,	PUNCT
ap-5826	1	95	czech	czech	PROPN
ap-5826	1	96	republic	republic	NOUN
ap-5826	1	97	∗	∗	NOUN
ap-5826	1	98	corresponding	correspond	VERB
ap-5826	1	99	author	author	NOUN
ap-5826	1	100	:	:	PUNCT
ap-5826	1	101	urbanj@frov.jcu.cz	urbanj@frov.jcu.cz	PRON
ap-5826	1	102	abstract	abstract	NOUN
ap-5826	1	103	.	.	PUNCT
ap-5826	2	1	we	we	PRON
ap-5826	2	2	developed	develop	VERB
ap-5826	2	3	a	a	DET
ap-5826	2	4	method	method	NOUN
ap-5826	2	5	of	of	ADP
ap-5826	2	6	image	image	NOUN
ap-5826	2	7	preprocessing	preprocessing	NOUN
ap-5826	2	8	based	base	VERB
ap-5826	2	9	on	on	ADP
ap-5826	2	10	the	the	DET
ap-5826	2	11	information	information	NOUN
ap-5826	2	12	entropy	entropy	NOUN
ap-5826	2	13	,	,	PUNCT
ap-5826	2	14	namely	namely	ADV
ap-5826	2	15	,	,	PUNCT
ap-5826	2	16	on	on	ADP
ap-5826	2	17	the	the	DET
ap-5826	2	18	information	information	NOUN
ap-5826	2	19	contribution	contribution	NOUN
ap-5826	2	20	made	make	VERB
ap-5826	2	21	by	by	ADP
ap-5826	2	22	each	each	DET
ap-5826	2	23	individual	individual	ADJ
ap-5826	2	24	pixel	pixel	NOUN
ap-5826	2	25	to	to	ADP
ap-5826	2	26	the	the	DET
ap-5826	2	27	whole	whole	ADJ
ap-5826	2	28	image	image	NOUN
ap-5826	2	29	or	or	CCONJ
ap-5826	2	30	to	to	AUX
ap-5826	2	31	image	image	VERB
ap-5826	2	32	’s	’s	PART
ap-5826	2	33	part	part	NOUN
ap-5826	2	34	(	(	PUNCT
ap-5826	2	35	i.e.	i.e.	X
ap-5826	2	36	,	,	PUNCT
ap-5826	2	37	a	a	DET
ap-5826	2	38	point	point	NOUN
ap-5826	2	39	information	information	NOUN
ap-5826	2	40	gain	gain	NOUN
ap-5826	2	41	;	;	PUNCT
ap-5826	2	42	pig	pig	PROPN
ap-5826	2	43	)	)	PUNCT
ap-5826	2	44	.	.	PUNCT
ap-5826	3	1	an	an	DET
ap-5826	3	2	idea	idea	NOUN
ap-5826	3	3	of	of	ADP
ap-5826	3	4	the	the	DET
ap-5826	3	5	pig	pig	NOUN
ap-5826	3	6	calculation	calculation	NOUN
ap-5826	3	7	is	be	AUX
ap-5826	3	8	that	that	SCONJ
ap-5826	3	9	an	an	DET
ap-5826	3	10	image	image	NOUN
ap-5826	3	11	background	background	NOUN
ap-5826	3	12	remains	remain	VERB
ap-5826	3	13	informatively	informatively	ADV
ap-5826	3	14	poor	poor	ADJ
ap-5826	3	15	,	,	PUNCT
ap-5826	3	16	whereas	whereas	SCONJ
ap-5826	3	17	objects	object	NOUN
ap-5826	3	18	carry	carry	VERB
ap-5826	3	19	relevant	relevant	ADJ
ap-5826	3	20	information	information	NOUN
ap-5826	3	21	.	.	PUNCT
ap-5826	4	1	in	in	ADP
ap-5826	4	2	one	one	NUM
ap-5826	4	3	calculation	calculation	NOUN
ap-5826	4	4	,	,	PUNCT
ap-5826	4	5	this	this	DET
ap-5826	4	6	method	method	NOUN
ap-5826	4	7	preserves	preserve	VERB
ap-5826	4	8	details	detail	NOUN
ap-5826	4	9	,	,	PUNCT
ap-5826	4	10	highlights	highlight	NOUN
ap-5826	4	11	edges	edge	NOUN
ap-5826	4	12	,	,	PUNCT
ap-5826	4	13	and	and	CCONJ
ap-5826	4	14	decreases	decrease	VERB
ap-5826	4	15	random	random	ADJ
ap-5826	4	16	noise	noise	NOUN
ap-5826	4	17	.	.	PUNCT
ap-5826	5	1	this	this	DET
ap-5826	5	2	paper	paper	NOUN
ap-5826	5	3	describes	describe	VERB
ap-5826	5	4	optimization	optimization	NOUN
ap-5826	5	5	and	and	CCONJ
ap-5826	5	6	implementation	implementation	NOUN
ap-5826	5	7	of	of	ADP
ap-5826	5	8	the	the	DET
ap-5826	5	9	pig	pig	NOUN
ap-5826	5	10	calculation	calculation	NOUN
ap-5826	5	11	on	on	ADP
ap-5826	5	12	graphical	graphical	ADJ
ap-5826	5	13	processing	processing	NOUN
ap-5826	5	14	units	unit	NOUN
ap-5826	5	15	(	(	PUNCT
ap-5826	5	16	gpu	gpu	NOUN
ap-5826	5	17	)	)	PUNCT
ap-5826	5	18	to	to	PART
ap-5826	5	19	overcome	overcome	VERB
ap-5826	5	20	a	a	DET
ap-5826	5	21	high	high	ADJ
ap-5826	5	22	computational	computational	ADJ
ap-5826	5	23	burden	burden	NOUN
ap-5826	5	24	.	.	PUNCT
ap-5826	6	1	keywords	keyword	NOUN
ap-5826	6	2	:	:	PUNCT
ap-5826	6	3	pixel	pixel	PROPN
ap-5826	6	4	information	information	PROPN
ap-5826	6	5	contribution	contribution	PROPN
ap-5826	6	6	,	,	PUNCT
ap-5826	6	7	entropy	entropy	PROPN
ap-5826	6	8	,	,	PUNCT
ap-5826	6	9	image	image	NOUN
ap-5826	6	10	analysis	analysis	NOUN
ap-5826	6	11	,	,	PUNCT
ap-5826	6	12	computation	computation	NOUN
ap-5826	6	13	optimization	optimization	NOUN
ap-5826	6	14	.	.	PUNCT
ap-5826	7	1	1	1	X
ap-5826	7	2	.	.	X
ap-5826	7	3	introduction	introduction	NOUN
ap-5826	7	4	one	one	NUM
ap-5826	7	5	of	of	ADP
ap-5826	7	6	the	the	DET
ap-5826	7	7	tasks	task	NOUN
ap-5826	7	8	in	in	ADP
ap-5826	7	9	image	image	NOUN
ap-5826	7	10	analysis	analysis	NOUN
ap-5826	7	11	is	be	AUX
ap-5826	7	12	an	an	DET
ap-5826	7	13	accurate	accurate	ADJ
ap-5826	7	14	segmentation	segmentation	NOUN
ap-5826	7	15	of	of	ADP
ap-5826	7	16	entities	entity	NOUN
ap-5826	7	17	from	from	ADP
ap-5826	7	18	their	their	PRON
ap-5826	7	19	background	background	NOUN
ap-5826	7	20	.	.	PUNCT
ap-5826	8	1	correct	correct	ADJ
ap-5826	8	2	finding	finding	NOUN
ap-5826	8	3	of	of	ADP
ap-5826	8	4	objects	object	NOUN
ap-5826	8	5	depends	depend	VERB
ap-5826	8	6	on	on	ADP
ap-5826	8	7	plenty	plenty	NOUN
ap-5826	8	8	of	of	ADP
ap-5826	8	9	factors	factor	NOUN
ap-5826	8	10	,	,	PUNCT
ap-5826	8	11	such	such	ADJ
ap-5826	8	12	as	as	ADP
ap-5826	8	13	the	the	DET
ap-5826	8	14	kind	kind	NOUN
ap-5826	8	15	of	of	ADP
ap-5826	8	16	illumination	illumination	NOUN
ap-5826	8	17	,	,	PUNCT
ap-5826	8	18	shadows	shadow	NOUN
ap-5826	8	19	,	,	PUNCT
ap-5826	8	20	level	level	NOUN
ap-5826	8	21	of	of	ADP
ap-5826	8	22	noise	noise	NOUN
ap-5826	8	23	,	,	PUNCT
ap-5826	8	24	proper	proper	ADJ
ap-5826	8	25	focusing	focusing	NOUN
ap-5826	8	26	,	,	PUNCT
ap-5826	8	27	overlaps	overlap	NOUN
ap-5826	8	28	of	of	ADP
ap-5826	8	29	objects	object	NOUN
ap-5826	8	30	,	,	PUNCT
ap-5826	8	31	and	and	CCONJ
ap-5826	8	32	dissimilarity	dissimilarity	NOUN
ap-5826	8	33	between	between	ADP
ap-5826	8	34	an	an	DET
ap-5826	8	35	object	object	NOUN
ap-5826	8	36	and	and	CCONJ
ap-5826	8	37	its	its	PRON
ap-5826	8	38	background	background	NOUN
ap-5826	8	39	.	.	PUNCT
ap-5826	9	1	the	the	DET
ap-5826	9	2	traditional	traditional	ADJ
ap-5826	9	3	methods	method	NOUN
ap-5826	9	4	,	,	PUNCT
ap-5826	9	5	e.g.	e.g.	ADV
ap-5826	9	6	,	,	PUNCT
ap-5826	9	7	thresholding	thresholding	NOUN
ap-5826	9	8	or	or	CCONJ
ap-5826	9	9	edge	edge	NOUN
ap-5826	9	10	detectors	detector	NOUN
ap-5826	9	11	,	,	PUNCT
ap-5826	9	12	are	be	AUX
ap-5826	9	13	generally	generally	ADV
ap-5826	9	14	based	base	VERB
ap-5826	9	15	on	on	ADP
ap-5826	9	16	local	local	ADJ
ap-5826	9	17	or	or	CCONJ
ap-5826	9	18	global	global	ADJ
ap-5826	9	19	characteristics	characteristic	NOUN
ap-5826	9	20	of	of	ADP
ap-5826	9	21	intensity	intensity	NOUN
ap-5826	9	22	histograms	histogram	NOUN
ap-5826	9	23	[	[	X
ap-5826	9	24	1–4	1–4	X
ap-5826	9	25	]	]	X
ap-5826	9	26	.	.	PUNCT
ap-5826	10	1	the	the	DET
ap-5826	10	2	final	final	ADJ
ap-5826	10	3	result	result	NOUN
ap-5826	10	4	of	of	ADP
ap-5826	10	5	a	a	DET
ap-5826	10	6	chosen	choose	VERB
ap-5826	10	7	segmentation	segmentation	NOUN
ap-5826	10	8	algorithm	algorithm	NOUN
ap-5826	10	9	is	be	AUX
ap-5826	10	10	more	more	ADV
ap-5826	10	11	or	or	CCONJ
ap-5826	10	12	less	less	ADV
ap-5826	10	13	conditioned	condition	VERB
ap-5826	10	14	by	by	ADP
ap-5826	10	15	the	the	DET
ap-5826	10	16	sufficiency	sufficiency	NOUN
ap-5826	10	17	of	of	ADP
ap-5826	10	18	preprocessing	preprocesse	VERB
ap-5826	10	19	computation	computation	NOUN
ap-5826	10	20	that	that	PRON
ap-5826	10	21	include	include	VERB
ap-5826	10	22	color	color	NOUN
ap-5826	10	23	space	space	NOUN
ap-5826	10	24	transformations	transformation	NOUN
ap-5826	10	25	,	,	PUNCT
ap-5826	10	26	denoising	denoising	NOUN
ap-5826	10	27	,	,	PUNCT
ap-5826	10	28	or	or	CCONJ
ap-5826	10	29	other	other	ADJ
ap-5826	10	30	adjustments	adjustment	NOUN
ap-5826	10	31	[	[	X
ap-5826	10	32	5–7	5–7	X
ap-5826	10	33	]	]	PUNCT
ap-5826	10	34	.	.	PUNCT
ap-5826	11	1	the	the	DET
ap-5826	11	2	segmentation	segmentation	NOUN
ap-5826	11	3	process	process	NOUN
ap-5826	11	4	is	be	AUX
ap-5826	11	5	of	of	ADP
ap-5826	11	6	a	a	DET
ap-5826	11	7	high	high	ADJ
ap-5826	11	8	quality	quality	NOUN
ap-5826	11	9	if	if	SCONJ
ap-5826	11	10	the	the	DET
ap-5826	11	11	borders	border	NOUN
ap-5826	11	12	of	of	ADP
ap-5826	11	13	the	the	DET
ap-5826	11	14	objects	object	NOUN
ap-5826	11	15	of	of	ADP
ap-5826	11	16	interest	interest	NOUN
ap-5826	11	17	are	be	AUX
ap-5826	11	18	sharp	sharp	ADJ
ap-5826	11	19	,	,	PUNCT
ap-5826	11	20	clearly	clearly	ADV
ap-5826	11	21	visible	visible	ADJ
ap-5826	11	22	,	,	PUNCT
ap-5826	11	23	and	and	CCONJ
ap-5826	11	24	separated	separate	VERB
ap-5826	11	25	from	from	ADP
ap-5826	11	26	the	the	DET
ap-5826	11	27	background	background	NOUN
ap-5826	11	28	.	.	PUNCT
ap-5826	12	1	a	a	DET
ap-5826	12	2	promising	promising	ADJ
ap-5826	12	3	way	way	NOUN
ap-5826	12	4	for	for	ADP
ap-5826	12	5	automation	automation	NOUN
ap-5826	12	6	of	of	ADP
ap-5826	12	7	the	the	DET
ap-5826	12	8	whole	whole	ADJ
ap-5826	12	9	process	process	NOUN
ap-5826	12	10	of	of	ADP
ap-5826	12	11	the	the	DET
ap-5826	12	12	selection	selection	NOUN
ap-5826	12	13	of	of	ADP
ap-5826	12	14	a	a	DET
ap-5826	12	15	sub	sub	NOUN
ap-5826	12	16	-	-	NOUN
ap-5826	12	17	image	image	NOUN
ap-5826	12	18	of	of	ADP
ap-5826	12	19	proper	proper	ADJ
ap-5826	12	20	parameters	parameter	NOUN
ap-5826	12	21	is	be	AUX
ap-5826	12	22	a	a	DET
ap-5826	12	23	usage	usage	NOUN
ap-5826	12	24	of	of	ADP
ap-5826	12	25	an	an	DET
ap-5826	12	26	equation	equation	NOUN
ap-5826	12	27	of	of	ADP
ap-5826	12	28	information	information	NOUN
ap-5826	12	29	entropy	entropy	PROPN
ap-5826	12	30	,	,	PUNCT
ap-5826	12	31	which	which	PRON
ap-5826	12	32	was	be	AUX
ap-5826	12	33	defined	define	VERB
ap-5826	12	34	by	by	ADP
ap-5826	12	35	shannon	shannon	PROPN
ap-5826	12	36	and	and	CCONJ
ap-5826	12	37	generalized	generalize	VERB
ap-5826	12	38	by	by	ADP
ap-5826	12	39	rényi	rényi	NOUN
ap-5826	12	40	[	[	X
ap-5826	12	41	8	8	NUM
ap-5826	12	42	]	]	PUNCT
ap-5826	12	43	.	.	PUNCT
ap-5826	13	1	although	although	SCONJ
ap-5826	13	2	the	the	DET
ap-5826	13	3	formula	formula	NOUN
ap-5826	13	4	for	for	ADP
ap-5826	13	5	the	the	DET
ap-5826	13	6	information	information	NOUN
ap-5826	13	7	entropy	entropy	NOUN
ap-5826	13	8	is	be	AUX
ap-5826	13	9	well	well	ADV
ap-5826	13	10	known	known	ADJ
ap-5826	13	11	for	for	ADP
ap-5826	13	12	a	a	DET
ap-5826	13	13	longer	long	ADJ
ap-5826	13	14	time	time	NOUN
ap-5826	13	15	,	,	PUNCT
ap-5826	13	16	other	other	ADJ
ap-5826	13	17	ways	way	NOUN
ap-5826	13	18	how	how	SCONJ
ap-5826	13	19	to	to	PART
ap-5826	13	20	use	use	VERB
ap-5826	13	21	it	it	PRON
ap-5826	13	22	for	for	ADP
ap-5826	13	23	one	one	NUM
ap-5826	13	24	or	or	CCONJ
ap-5826	13	25	two	two	NUM
ap-5826	13	26	dimensional	dimensional	ADJ
ap-5826	13	27	thresholding	thresholding	NOUN
ap-5826	13	28	and	and	CCONJ
ap-5826	13	29	filtering	filtering	NOUN
ap-5826	13	30	,	,	PUNCT
ap-5826	13	31	e.g.	e.g.	ADV
ap-5826	13	32	,	,	PUNCT
ap-5826	13	33	[	[	X
ap-5826	13	34	1–4	1–4	NOUN
ap-5826	13	35	,	,	PUNCT
ap-5826	13	36	9–11	9–11	PROPN
ap-5826	13	37	]	]	PUNCT
ap-5826	13	38	,	,	PUNCT
ap-5826	13	39	still	still	ADV
ap-5826	13	40	appear	appear	VERB
ap-5826	13	41	.	.	PUNCT
ap-5826	14	1	the	the	DET
ap-5826	14	2	entropy	entropy	NOUN
ap-5826	14	3	also	also	ADV
ap-5826	14	4	generally	generally	ADV
ap-5826	14	5	measures	measure	VERB
ap-5826	14	6	an	an	DET
ap-5826	14	7	information	information	NOUN
ap-5826	14	8	content	content	NOUN
ap-5826	14	9	.	.	PUNCT
ap-5826	15	1	an	an	DET
ap-5826	15	2	important	important	ADJ
ap-5826	15	3	question	question	NOUN
ap-5826	15	4	is	be	AUX
ap-5826	15	5	how	how	SCONJ
ap-5826	15	6	much	much	ADJ
ap-5826	15	7	information	information	NOUN
ap-5826	15	8	is	be	AUX
ap-5826	15	9	included	include	VERB
ap-5826	15	10	in	in	ADP
ap-5826	15	11	a	a	DET
ap-5826	15	12	data	data	NOUN
ap-5826	15	13	point	point	NOUN
ap-5826	15	14	and	and	CCONJ
ap-5826	15	15	how	how	SCONJ
ap-5826	15	16	the	the	DET
ap-5826	15	17	points	point	NOUN
ap-5826	15	18	can	can	AUX
ap-5826	15	19	be	be	AUX
ap-5826	15	20	distinguished	distinguish	VERB
ap-5826	15	21	from	from	ADP
ap-5826	15	22	each	each	DET
ap-5826	15	23	other	other	ADJ
ap-5826	15	24	.	.	PUNCT
ap-5826	16	1	this	this	DET
ap-5826	16	2	question	question	NOUN
ap-5826	16	3	was	be	AUX
ap-5826	16	4	solved	solve	VERB
ap-5826	16	5	by	by	ADP
ap-5826	16	6	a	a	DET
ap-5826	16	7	derivation	derivation	NOUN
ap-5826	16	8	of	of	ADP
ap-5826	16	9	the	the	DET
ap-5826	16	10	variable	variable	ADJ
ap-5826	16	11	point	point	NOUN
ap-5826	16	12	information	information	NOUN
ap-5826	16	13	gain	gain	NOUN
ap-5826	16	14	(	(	PUNCT
ap-5826	16	15	pig	pig	NOUN
ap-5826	16	16	,	,	PUNCT
ap-5826	16	17	γ	γ	NOUN
ap-5826	16	18	)	)	PUNCT
ap-5826	17	1	[	[	X
ap-5826	17	2	12–22	12–22	NUM
ap-5826	17	3	]	]	PUNCT
ap-5826	17	4	which	which	PRON
ap-5826	17	5	evaluates	evaluate	VERB
ap-5826	17	6	an	an	DET
ap-5826	17	7	information	information	NOUN
ap-5826	17	8	content	content	NOUN
ap-5826	17	9	of	of	ADP
ap-5826	17	10	a	a	DET
ap-5826	17	11	single	single	ADJ
ap-5826	17	12	pixel	pixel	NOUN
ap-5826	17	13	in	in	ADP
ap-5826	17	14	local	local	ADJ
ap-5826	17	15	and	and	CCONJ
ap-5826	17	16	global	global	ADJ
ap-5826	17	17	context	context	NOUN
ap-5826	17	18	.	.	PUNCT
ap-5826	18	1	this	this	DET
ap-5826	18	2	variable	variable	NOUN
ap-5826	18	3	says	say	VERB
ap-5826	18	4	how	how	SCONJ
ap-5826	18	5	much	much	ADJ
ap-5826	18	6	is	be	AUX
ap-5826	18	7	one	one	NUM
ap-5826	18	8	individual	individual	ADJ
ap-5826	18	9	pixel	pixel	NOUN
ap-5826	18	10	important	important	ADJ
ap-5826	18	11	for	for	ADP
ap-5826	18	12	understanding	understanding	NOUN
ap-5826	18	13	of	of	ADP
ap-5826	18	14	an	an	DET
ap-5826	18	15	image	image	NOUN
ap-5826	18	16	or	or	CCONJ
ap-5826	18	17	image	image	NOUN
ap-5826	18	18	’s	’s	PART
ap-5826	18	19	part	part	NOUN
ap-5826	18	20	.	.	PUNCT
ap-5826	19	1	in	in	ADP
ap-5826	19	2	addition	addition	NOUN
ap-5826	19	3	,	,	PUNCT
ap-5826	19	4	the	the	DET
ap-5826	19	5	method	method	NOUN
ap-5826	19	6	of	of	ADP
ap-5826	19	7	the	the	DET
ap-5826	19	8	pig	pig	NOUN
ap-5826	19	9	preserves	preserve	VERB
ap-5826	19	10	the	the	DET
ap-5826	19	11	details	detail	NOUN
ap-5826	19	12	,	,	PUNCT
ap-5826	19	13	highlights	highlight	VERB
ap-5826	19	14	the	the	DET
ap-5826	19	15	edges	edge	NOUN
ap-5826	19	16	,	,	PUNCT
ap-5826	19	17	and	and	CCONJ
ap-5826	19	18	decreases	decrease	VERB
ap-5826	19	19	random	random	ADJ
ap-5826	19	20	noise	noise	NOUN
ap-5826	19	21	in	in	ADP
ap-5826	19	22	one	one	NUM
ap-5826	19	23	calculation	calculation	NOUN
ap-5826	19	24	.	.	PUNCT
ap-5826	20	1	examples	example	NOUN
ap-5826	20	2	of	of	ADP
ap-5826	20	3	usage	usage	NOUN
ap-5826	20	4	of	of	ADP
ap-5826	20	5	the	the	DET
ap-5826	20	6	pig	pig	NOUN
ap-5826	20	7	in	in	ADP
ap-5826	20	8	image	image	NOUN
ap-5826	20	9	(	(	PUNCT
ap-5826	20	10	pre)processing	pre)processing	NOUN
ap-5826	20	11	were	be	AUX
ap-5826	20	12	published	publish	VERB
ap-5826	20	13	previously	previously	ADV
ap-5826	20	14	[	[	X
ap-5826	20	15	12–22	12–22	NUM
ap-5826	20	16	]	]	PUNCT
ap-5826	20	17	the	the	DET
ap-5826	20	18	computation	computation	NOUN
ap-5826	20	19	tool	tool	NOUN
ap-5826	20	20	for	for	ADP
ap-5826	20	21	image	image	NOUN
ap-5826	20	22	preprocessing	preprocessing	NOUN
ap-5826	20	23	using	use	VERB
ap-5826	20	24	the	the	DET
ap-5826	20	25	pig	pig	NOUN
ap-5826	20	26	method	method	NOUN
ap-5826	20	27	is	be	AUX
ap-5826	20	28	called	call	VERB
ap-5826	20	29	the	the	DET
ap-5826	20	30	image	image	NOUN
ap-5826	20	31	info	info	NOUN
ap-5826	20	32	extractor	extractor	NOUN
ap-5826	20	33	professional	professional	ADJ
ap-5826	20	34	software	software	NOUN
ap-5826	20	35	(	(	PUNCT
ap-5826	20	36	iiep	iiep	NOUN
ap-5826	20	37	;	;	PUNCT
ap-5826	20	38	institute	institute	NOUN
ap-5826	20	39	of	of	ADP
ap-5826	20	40	complex	complex	ADJ
ap-5826	20	41	systems	system	NOUN
ap-5826	20	42	,	,	PUNCT
ap-5826	20	43	nové	nové	PROPN
ap-5826	20	44	hrady	hrady	ADJ
ap-5826	20	45	)	)	PUNCT
ap-5826	20	46	.	.	PUNCT
ap-5826	21	1	the	the	DET
ap-5826	21	2	theoretical	theoretical	ADJ
ap-5826	21	3	concept	concept	NOUN
ap-5826	21	4	and	and	CCONJ
ap-5826	21	5	practical	practical	ADJ
ap-5826	21	6	utilization	utilization	NOUN
ap-5826	21	7	of	of	ADP
ap-5826	21	8	this	this	DET
ap-5826	21	9	kind	kind	NOUN
ap-5826	21	10	of	of	ADP
ap-5826	21	11	software	software	NOUN
ap-5826	21	12	was	be	AUX
ap-5826	21	13	introduced	introduce	VERB
ap-5826	21	14	previously	previously	ADV
ap-5826	21	15	and	and	CCONJ
ap-5826	21	16	this	this	DET
ap-5826	21	17	paper	paper	NOUN
ap-5826	21	18	is	be	AUX
ap-5826	21	19	supplemental	supplemental	ADJ
ap-5826	21	20	to	to	ADP
ap-5826	21	21	[	[	X
ap-5826	21	22	17	17	NUM
ap-5826	21	23	]	]	PUNCT
ap-5826	21	24	.	.	PUNCT
ap-5826	22	1	the	the	DET
ap-5826	22	2	task	task	NOUN
ap-5826	22	3	of	of	ADP
ap-5826	22	4	this	this	DET
ap-5826	22	5	paper	paper	NOUN
ap-5826	22	6	is	be	AUX
ap-5826	22	7	,	,	PUNCT
ap-5826	22	8	using	use	VERB
ap-5826	22	9	the	the	DET
ap-5826	22	10	examples	example	NOUN
ap-5826	22	11	of	of	ADP
ap-5826	22	12	the	the	DET
ap-5826	22	13	shannonian	shannonian	ADJ
ap-5826	22	14	pig	pig	NOUN
ap-5826	22	15	with	with	ADP
ap-5826	22	16	whole	whole	ADJ
ap-5826	22	17	image	image	NOUN
ap-5826	22	18	approach	approach	NOUN
ap-5826	22	19	and	and	CCONJ
ap-5826	22	20	for	for	ADP
ap-5826	22	21	cross	cross	NOUN
ap-5826	22	22	neighbourhood	neighbourhood	NOUN
ap-5826	22	23	for	for	ADP
ap-5826	22	24	each	each	DET
ap-5826	22	25	pixel	pixel	NOUN
ap-5826	22	26	,	,	PUNCT
ap-5826	22	27	to	to	PART
ap-5826	22	28	present	present	VERB
ap-5826	22	29	a	a	DET
ap-5826	22	30	kind	kind	NOUN
ap-5826	22	31	of	of	ADP
ap-5826	22	32	computational	computational	ADJ
ap-5826	22	33	optimization	optimization	NOUN
ap-5826	22	34	and	and	CCONJ
ap-5826	22	35	the	the	DET
ap-5826	22	36	implementation	implementation	NOUN
ap-5826	22	37	of	of	ADP
ap-5826	22	38	this	this	DET
ap-5826	22	39	computation	computation	NOUN
ap-5826	22	40	on	on	ADP
ap-5826	22	41	gpus	gpu	NOUN
ap-5826	22	42	in	in	ADP
ap-5826	22	43	order	order	NOUN
ap-5826	22	44	to	to	PART
ap-5826	22	45	achieve	achieve	VERB
ap-5826	22	46	a	a	DET
ap-5826	22	47	higher	high	ADJ
ap-5826	22	48	computation	computation	NOUN
ap-5826	22	49	performance	performance	NOUN
ap-5826	22	50	of	of	ADP
ap-5826	22	51	the	the	DET
ap-5826	22	52	iiep	iiep	PROPN
ap-5826	22	53	software	software	NOUN
ap-5826	22	54	.	.	PUNCT
ap-5826	23	1	2	2	X
ap-5826	23	2	.	.	X
ap-5826	23	3	the	the	DET
ap-5826	23	4	shannon	shannon	PROPN
ap-5826	23	5	entropy	entropy	PROPN
ap-5826	23	6	the	the	DET
ap-5826	23	7	shannon	shannon	PROPN
ap-5826	23	8	entropy	entropy	PROPN
ap-5826	23	9	is	be	AUX
ap-5826	23	10	a	a	DET
ap-5826	23	11	special	special	ADJ
ap-5826	23	12	case	case	NOUN
ap-5826	23	13	of	of	ADP
ap-5826	23	14	the	the	DET
ap-5826	23	15	rényi	rényi	NOUN
ap-5826	23	16	entropy	entropy	NOUN
ap-5826	23	17	for	for	ADP
ap-5826	23	18	α	α	NOUN
ap-5826	23	19	=	=	SYM
ap-5826	23	20	1	1	NUM
ap-5826	23	21	.	.	PUNCT
ap-5826	24	1	any	any	DET
ap-5826	24	2	discrete	discrete	ADJ
ap-5826	24	3	probability	probability	NOUN
ap-5826	24	4	distribution	distribution	NOUN
ap-5826	24	5	p	p	X
ap-5826	24	6	=	=	PUNCT
ap-5826	24	7	{	{	PUNCT
ap-5826	24	8	p0	p0	NOUN
ap-5826	24	9	,	,	PUNCT
ap-5826	24	10	p1	p1	NOUN
ap-5826	24	11	,	,	PUNCT
ap-5826	24	12	...	...	PUNCT
ap-5826	24	13	,	,	PUNCT
ap-5826	24	14	pk	pk	PROPN
ap-5826	24	15	}	}	PUNCT
ap-5826	24	16	fulfils	fulfil	VERB
ap-5826	24	17	the	the	DET
ap-5826	24	18	condition	condition	NOUN
ap-5826	24	19	pj	pj	PROPN
ap-5826	24	20	≥	≥	PROPN
ap-5826	24	21	0	0	NUM
ap-5826	24	22	;	;	PUNCT
ap-5826	24	23	k∑	k∑	VERB
ap-5826	25	1	j=1	j=1	PROPN
ap-5826	25	2	pj	pj	PROPN
ap-5826	25	3	=	=	PROPN
ap-5826	25	4	1	1	X
ap-5826	25	5	.	.	PUNCT
ap-5826	26	1	(	(	PUNCT
ap-5826	26	2	1	1	X
ap-5826	26	3	)	)	PUNCT
ap-5826	26	4	in	in	ADP
ap-5826	26	5	an	an	DET
ap-5826	26	6	intensity	intensity	NOUN
ap-5826	26	7	image	image	NOUN
ap-5826	26	8	,	,	PUNCT
ap-5826	26	9	the	the	DET
ap-5826	26	10	approximation	approximation	NOUN
ap-5826	26	11	of	of	ADP
ap-5826	26	12	the	the	DET
ap-5826	26	13	probability	probability	NOUN
ap-5826	26	14	distribution	distribution	NOUN
ap-5826	26	15	is	be	AUX
ap-5826	26	16	given	give	VERB
ap-5826	26	17	by	by	ADP
ap-5826	26	18	the	the	DET
ap-5826	26	19	histogram	histogram	NOUN
ap-5826	26	20	function	function	NOUN
ap-5826	26	21	that	that	PRON
ap-5826	26	22	shows	show	VERB
ap-5826	26	23	counts	count	NOUN
ap-5826	26	24	of	of	ADP
ap-5826	26	25	the	the	DET
ap-5826	26	26	pixels	pixel	NOUN
ap-5826	26	27	φ(x	φ(x	PROPN
ap-5826	26	28	,	,	PUNCT
ap-5826	26	29	y	y	NOUN
ap-5826	26	30	)	)	PUNCT
ap-5826	26	31	with	with	ADP
ap-5826	26	32	intensity	intensity	NOUN
ap-5826	26	33	j	j	PROPN
ap-5826	26	34	at	at	ADP
ap-5826	26	35	the	the	DET
ap-5826	26	36	position	position	NOUN
ap-5826	26	37	(	(	PUNCT
ap-5826	26	38	h	h	NOUN
ap-5826	26	39	,	,	PUNCT
ap-5826	26	40	w	w	NOUN
ap-5826	26	41	)	)	PUNCT
ap-5826	26	42	in	in	ADP
ap-5826	26	43	the	the	DET
ap-5826	26	44	image	image	NOUN
ap-5826	27	1	[	[	X
ap-5826	27	2	3	3	NUM
ap-5826	27	3	,	,	PUNCT
ap-5826	27	4	4	4	NUM
ap-5826	27	5	]	]	PUNCT
ap-5826	27	6	.	.	PUNCT
ap-5826	28	1	more	more	ADJ
ap-5826	28	2	conditions	condition	NOUN
ap-5826	28	3	are	be	AUX
ap-5826	28	4	assumed	assume	VERB
ap-5826	28	5	when	when	SCONJ
ap-5826	28	6	measuring	measure	VERB
ap-5826	28	7	the	the	DET
ap-5826	28	8	information	information	NOUN
ap-5826	28	9	.	.	PUNCT
ap-5826	29	1	the	the	DET
ap-5826	29	2	information	information	NOUN
ap-5826	29	3	must	must	AUX
ap-5826	29	4	be	be	AUX
ap-5826	29	5	additive	additive	ADJ
ap-5826	29	6	for	for	ADP
ap-5826	29	7	two	two	NUM
ap-5826	29	8	independent	independent	ADJ
ap-5826	29	9	events	event	NOUN
ap-5826	29	10	with	with	ADP
ap-5826	29	11	the	the	DET
ap-5826	29	12	probabilities	probability	NOUN
ap-5826	29	13	of	of	ADP
ap-5826	29	14	occurrence	occurrence	NOUN
ap-5826	29	15	of	of	ADP
ap-5826	29	16	p1	p1	PROPN
ap-5826	29	17	and	and	CCONJ
ap-5826	29	18	p2	p2	NOUN
ap-5826	29	19	:	:	PUNCT
ap-5826	29	20	i(p1,2	i(p1,2	ADJ
ap-5826	29	21	)	)	PUNCT
ap-5826	29	22	=	=	SYM
ap-5826	29	23	i(p1	i(p1	NOUN
ap-5826	29	24	)	)	PUNCT
ap-5826	30	1	+	+	CCONJ
ap-5826	30	2	i(p2	i(p2	ADJ
ap-5826	30	3	)	)	PUNCT
ap-5826	30	4	.	.	PUNCT
ap-5826	31	1	(	(	PUNCT
ap-5826	31	2	2	2	X
ap-5826	31	3	)	)	PUNCT
ap-5826	31	4	593	593	NUM
ap-5826	31	5	https://doi.org/10.14311/ap.2019.59.0593	https://doi.org/10.14311/ap.2019.59.0593	NOUN
ap-5826	31	6	https://ojs.cvut.cz/ojs/index.php/ap	https://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-5826	31	7	j.	j.	PROPN
ap-5826	31	8	urban	urban	PROPN
ap-5826	31	9	,	,	PUNCT
ap-5826	31	10	r.	r.	PROPN
ap-5826	31	11	rychtáriková	rychtáriková	PROPN
ap-5826	31	12	,	,	PUNCT
ap-5826	31	13	p.	p.	PROPN
ap-5826	31	14	macháček	macháček	PROPN
ap-5826	31	15	et	et	PROPN
ap-5826	31	16	al	al	PROPN
ap-5826	31	17	.	.	PROPN
ap-5826	31	18	acta	acta	PROPN
ap-5826	31	19	polytechnica	polytechnica	PROPN
ap-5826	31	20	the	the	DET
ap-5826	31	21	information	information	NOUN
ap-5826	31	22	itself	itself	PRON
ap-5826	31	23	is	be	AUX
ap-5826	31	24	dependent	dependent	ADJ
ap-5826	31	25	only	only	ADV
ap-5826	31	26	on	on	ADP
ap-5826	31	27	the	the	DET
ap-5826	31	28	probability	probability	NOUN
ap-5826	31	29	distribution	distribution	NOUN
ap-5826	31	30	or	or	CCONJ
ap-5826	31	31	,	,	PUNCT
ap-5826	31	32	as	as	ADP
ap-5826	31	33	in	in	ADP
ap-5826	31	34	our	our	PRON
ap-5826	31	35	case	case	NOUN
ap-5826	31	36	,	,	PUNCT
ap-5826	31	37	on	on	ADP
ap-5826	31	38	normalized	normalize	VERB
ap-5826	31	39	histogram	histogram	NOUN
ap-5826	31	40	function	function	NOUN
ap-5826	31	41	.	.	PUNCT
ap-5826	32	1	eq	eq	ADP
ap-5826	32	2	.	.	PROPN
ap-5826	32	3	2	2	NUM
ap-5826	32	4	describes	describe	VERB
ap-5826	32	5	a	a	DET
ap-5826	32	6	modified	modify	VERB
ap-5826	32	7	cauchy	cauchy	NOUN
ap-5826	32	8	’s	’s	PART
ap-5826	32	9	functional	functional	ADJ
ap-5826	32	10	equation	equation	NOUN
ap-5826	32	11	with	with	ADP
ap-5826	32	12	the	the	DET
ap-5826	32	13	unique	unique	ADJ
ap-5826	32	14	solution	solution	NOUN
ap-5826	32	15	i(p1	i(p1	NOUN
ap-5826	32	16	)	)	PUNCT
ap-5826	32	17	=	=	SYM
ap-5826	32	18	−k×log2(p1	−k×log2(p1	NOUN
ap-5826	32	19	)	)	PUNCT
ap-5826	32	20	.	.	PUNCT
ap-5826	33	1	in	in	ADP
ap-5826	33	2	statistical	statistical	ADJ
ap-5826	33	3	thermodynamics	thermodynamic	NOUN
ap-5826	33	4	,	,	PUNCT
ap-5826	33	5	the	the	DET
ap-5826	33	6	constant	constant	ADJ
ap-5826	33	7	k	k	PROPN
ap-5826	33	8	refers	refer	VERB
ap-5826	33	9	to	to	ADP
ap-5826	33	10	the	the	DET
ap-5826	33	11	boltzmann	boltzmann	PROPN
ap-5826	33	12	constant	constant	ADJ
ap-5826	34	1	[	[	X
ap-5826	34	2	23	23	NUM
ap-5826	34	3	]	]	PUNCT
ap-5826	34	4	,	,	PUNCT
ap-5826	34	5	in	in	ADP
ap-5826	34	6	the	the	DET
ap-5826	34	7	hartley	hartley	PROPN
ap-5826	34	8	information	information	NOUN
ap-5826	34	9	,	,	PUNCT
ap-5826	34	10	k	k	PROPN
ap-5826	34	11	=	=	SYM
ap-5826	34	12	1	1	NUM
ap-5826	35	1	[	[	X
ap-5826	35	2	24	24	NUM
ap-5826	35	3	]	]	PUNCT
ap-5826	35	4	.	.	PUNCT
ap-5826	36	1	if	if	SCONJ
ap-5826	36	2	different	different	ADJ
ap-5826	36	3	amounts	amount	NOUN
ap-5826	36	4	of	of	ADP
ap-5826	36	5	information	information	NOUN
ap-5826	36	6	occur	occur	VERB
ap-5826	36	7	with	with	ADP
ap-5826	36	8	different	different	ADJ
ap-5826	36	9	probabilities	probability	NOUN
ap-5826	36	10	,	,	PUNCT
ap-5826	36	11	the	the	DET
ap-5826	36	12	total	total	ADJ
ap-5826	36	13	amount	amount	NOUN
ap-5826	36	14	of	of	ADP
ap-5826	36	15	information	information	NOUN
ap-5826	36	16	corresponds	correspond	VERB
ap-5826	36	17	to	to	ADP
ap-5826	36	18	the	the	DET
ap-5826	36	19	average	average	NOUN
ap-5826	36	20	of	of	ADP
ap-5826	36	21	the	the	DET
ap-5826	36	22	individual	individual	ADJ
ap-5826	36	23	information	information	NOUN
ap-5826	36	24	contributions	contribution	NOUN
ap-5826	36	25	weighted	weight	VERB
ap-5826	36	26	by	by	ADP
ap-5826	36	27	the	the	DET
ap-5826	36	28	probabilities	probability	NOUN
ap-5826	36	29	of	of	ADP
ap-5826	36	30	their	their	PRON
ap-5826	36	31	individual	individual	ADJ
ap-5826	36	32	occurrences	occurrence	NOUN
ap-5826	36	33	[	[	X
ap-5826	36	34	24–26	24–26	NUM
ap-5826	36	35	]	]	PUNCT
ap-5826	36	36	.	.	PUNCT
ap-5826	37	1	this	this	PRON
ap-5826	37	2	leads	lead	VERB
ap-5826	37	3	to	to	ADP
ap-5826	37	4	the	the	DET
ap-5826	37	5	definition	definition	NOUN
ap-5826	37	6	of	of	ADP
ap-5826	37	7	the	the	DET
ap-5826	37	8	shannon	shannon	PROPN
ap-5826	37	9	information	information	PROPN
ap-5826	37	10	entropy	entropy	VERB
ap-5826	37	11	as∑	as∑	PROPN
ap-5826	37	12	j	j	PROPN
ap-5826	37	13	(	(	PUNCT
ap-5826	37	14	pjij	pjij	PROPN
ap-5826	37	15	)	)	PUNCT
ap-5826	37	16	;	;	PUNCT
ap-5826	38	1	h	h	NOUN
ap-5826	38	2	(	(	PUNCT
ap-5826	38	3	p	p	NOUN
ap-5826	38	4	)	)	PUNCT
ap-5826	38	5	=	=	SYM
ap-5826	38	6	−	−	PROPN
ap-5826	38	7	∑	∑	PUNCT
ap-5826	38	8	j	j	PROPN
ap-5826	38	9	pj	pj	PROPN
ap-5826	38	10	log2(pj	log2(pj	PROPN
ap-5826	38	11	)	)	PUNCT
ap-5826	38	12	.	.	PUNCT
ap-5826	39	1	(	(	PUNCT
ap-5826	39	2	3	3	X
ap-5826	39	3	)	)	PUNCT
ap-5826	39	4	the	the	DET
ap-5826	39	5	image	image	NOUN
ap-5826	39	6	histogram	histogram	NOUN
ap-5826	39	7	n	n	VERB
ap-5826	39	8	is	be	AUX
ap-5826	39	9	normalized	normalize	VERB
ap-5826	39	10	to	to	ADP
ap-5826	39	11	the	the	DET
ap-5826	39	12	total	total	ADJ
ap-5826	39	13	amount	amount	NOUN
ap-5826	39	14	of	of	ADP
ap-5826	39	15	pixels	pixel	NOUN
ap-5826	39	16	[	[	X
ap-5826	39	17	27	27	NUM
ap-5826	39	18	,	,	PUNCT
ap-5826	39	19	28	28	NUM
ap-5826	39	20	]	]	PUNCT
ap-5826	39	21	to	to	PART
ap-5826	39	22	fulfil	fulfil	VERB
ap-5826	39	23	the	the	DET
ap-5826	39	24	condition	condition	NOUN
ap-5826	39	25	(	(	PUNCT
ap-5826	39	26	1	1	NUM
ap-5826	39	27	):	):	PUNCT
ap-5826	39	28	n	n	NOUN
ap-5826	39	29	=	=	SYM
ap-5826	39	30	∑	∑	ADJ
ap-5826	39	31	h	h	NOUN
ap-5826	39	32	,	,	PUNCT
ap-5826	39	33	w	w	ADP
ap-5826	39	34	n0(h	n0(h	PROPN
ap-5826	39	35	,	,	PUNCT
ap-5826	39	36	w	w	NOUN
ap-5826	39	37	)	)	PUNCT
ap-5826	39	38	,	,	PUNCT
ap-5826	39	39	∑	∑	PROPN
ap-5826	39	40	h	h	NOUN
ap-5826	39	41	,	,	PUNCT
ap-5826	39	42	w	w	PROPN
ap-5826	39	43	n1(h	n1(h	PROPN
ap-5826	39	44	,	,	PUNCT
ap-5826	39	45	w	w	NOUN
ap-5826	39	46	)	)	PUNCT
ap-5826	39	47	,	,	PUNCT
ap-5826	39	48	.	.	PUNCT
ap-5826	39	49	.	.	PUNCT
ap-5826	39	50	.	.	PUNCT
ap-5826	40	1	∑	∑	PUNCT
ap-5826	40	2	h	h	INTJ
ap-5826	40	3	,	,	PUNCT
ap-5826	40	4	w	w	PROPN
ap-5826	40	5	nk(h	nk(h	PROPN
ap-5826	40	6	,	,	PUNCT
ap-5826	40	7	w	w	NOUN
ap-5826	40	8	)	)	PUNCT
ap-5826	40	9			NOUN
ap-5826	40	10	;	;	PUNCT
ap-5826	40	11	nj(h	nj(h	CCONJ
ap-5826	40	12	,	,	PUNCT
ap-5826	40	13	w	w	NOUN
ap-5826	40	14	)	)	PUNCT
ap-5826	40	15	=	=	NOUN
ap-5826	40	16	{	{	PUNCT
ap-5826	40	17	1	1	NUM
ap-5826	40	18	for	for	ADP
ap-5826	40	19	φ(h	φ(h	NOUN
ap-5826	40	20	,	,	PUNCT
ap-5826	40	21	w	w	NOUN
ap-5826	40	22	)	)	PUNCT
ap-5826	40	23	=	=	SYM
ap-5826	41	1	j	j	PROPN
ap-5826	41	2	0	0	NUM
ap-5826	41	3	for	for	ADP
ap-5826	41	4	φ(h	φ(h	NOUN
ap-5826	41	5	,	,	PUNCT
ap-5826	41	6	w	w	NOUN
ap-5826	41	7	)	)	PUNCT
ap-5826	41	8	6=	6=	ADP
ap-5826	41	9	j.	j.	PROPN
ap-5826	41	10	(	(	PUNCT
ap-5826	41	11	4	4	NUM
ap-5826	41	12	)	)	PUNCT
ap-5826	41	13	pj(h	pj(h	PUNCT
ap-5826	41	14	,	,	PUNCT
ap-5826	41	15	w	w	NOUN
ap-5826	41	16	)	)	PUNCT
ap-5826	41	17	=	=	SYM
ap-5826	41	18	nj(h	nj(h	PROPN
ap-5826	41	19	,	,	PUNCT
ap-5826	41	20	w	w	NOUN
ap-5826	41	21	)	)	PUNCT
ap-5826	41	22	wh	wh	NOUN
ap-5826	41	23	;	;	PUNCT
ap-5826	42	1	p	p	X
ap-5826	42	2	=	=	SYM
ap-5826	42	3	∑	∑	ADJ
ap-5826	42	4	h	h	NOUN
ap-5826	42	5	,	,	PUNCT
ap-5826	42	6	w	w	PROPN
ap-5826	42	7	p0(h	p0(h	PROPN
ap-5826	42	8	,	,	PUNCT
ap-5826	42	9	w	w	NOUN
ap-5826	42	10	)	)	PUNCT
ap-5826	42	11	,	,	PUNCT
ap-5826	42	12	∑	∑	PROPN
ap-5826	42	13	h	h	NOUN
ap-5826	42	14	,	,	PUNCT
ap-5826	42	15	w	w	PROPN
ap-5826	42	16	p1(h	p1(h	PROPN
ap-5826	42	17	,	,	PUNCT
ap-5826	42	18	w	w	NOUN
ap-5826	42	19	)	)	PUNCT
ap-5826	42	20	,	,	PUNCT
ap-5826	42	21	.	.	PUNCT
ap-5826	42	22	.	.	PUNCT
ap-5826	42	23	.	.	PUNCT
ap-5826	43	1	∑	∑	PUNCT
ap-5826	43	2	h	h	INTJ
ap-5826	43	3	,	,	PUNCT
ap-5826	43	4	w	w	PROPN
ap-5826	43	5	pk(h	pk(h	NOUN
ap-5826	43	6	,	,	PUNCT
ap-5826	43	7	w	w	NOUN
ap-5826	43	8	)	)	PUNCT
ap-5826	43	9			NOUN
ap-5826	43	10	,	,	PUNCT
ap-5826	43	11	where	where	SCONJ
ap-5826	43	12	wh	wh	NOUN
ap-5826	43	13	is	be	AUX
ap-5826	43	14	a	a	DET
ap-5826	43	15	total	total	ADJ
ap-5826	43	16	amount	amount	NOUN
ap-5826	43	17	of	of	ADP
ap-5826	43	18	pixels	pixel	NOUN
ap-5826	43	19	in	in	ADP
ap-5826	43	20	an	an	DET
ap-5826	43	21	image	image	NOUN
ap-5826	43	22	of	of	ADP
ap-5826	43	23	the	the	DET
ap-5826	43	24	size	size	NOUN
ap-5826	43	25	of	of	ADP
ap-5826	43	26	[	[	X
ap-5826	43	27	h	h	NOUN
ap-5826	43	28	×w	×w	NOUN
ap-5826	43	29	]	]	PUNCT
ap-5826	43	30	.	.	PUNCT
ap-5826	44	1	then	then	ADV
ap-5826	44	2	,	,	PUNCT
ap-5826	44	3	the	the	DET
ap-5826	44	4	normalized	normalize	VERB
ap-5826	44	5	histogram	histogram	NOUN
ap-5826	44	6	function	function	NOUN
ap-5826	44	7	p	p	NOUN
ap-5826	44	8	is	be	AUX
ap-5826	44	9	used	use	VERB
ap-5826	44	10	to	to	PART
ap-5826	44	11	define	define	VERB
ap-5826	44	12	the	the	DET
ap-5826	44	13	information	information	NOUN
ap-5826	44	14	in	in	ADP
ap-5826	44	15	the	the	DET
ap-5826	44	16	form	form	NOUN
ap-5826	44	17	of	of	ADP
ap-5826	44	18	the	the	DET
ap-5826	44	19	shannon	shannon	PROPN
ap-5826	44	20	entropy	entropy	PROPN
ap-5826	44	21	as	as	ADP
ap-5826	44	22	h	h	PROPN
ap-5826	44	23	(	(	PUNCT
ap-5826	44	24	p	p	NOUN
ap-5826	44	25	)	)	PUNCT
ap-5826	44	26	=	=	SYM
ap-5826	45	1	−	−	PROPN
ap-5826	45	2	∑	∑	PUNCT
ap-5826	45	3	j	j	PROPN
ap-5826	45	4	pj	pj	PROPN
ap-5826	45	5	log2	log2	PROPN
ap-5826	45	6	pj	pj	PROPN
ap-5826	45	7	.	.	PUNCT
ap-5826	46	1	(	(	PUNCT
ap-5826	46	2	5	5	NUM
ap-5826	46	3	)	)	PUNCT
ap-5826	46	4	for	for	ADP
ap-5826	46	5	the	the	DET
ap-5826	46	6	simplification	simplification	NOUN
ap-5826	46	7	of	of	ADP
ap-5826	46	8	the	the	DET
ap-5826	46	9	next	next	ADJ
ap-5826	46	10	deduction	deduction	NOUN
ap-5826	46	11	,	,	PUNCT
ap-5826	46	12	the	the	DET
ap-5826	46	13	binary	binary	PROPN
ap-5826	46	14	logarithm	logarithm	PROPN
ap-5826	46	15	log2	log2	PROPN
ap-5826	46	16	,	,	PUNCT
ap-5826	46	17	which	which	PRON
ap-5826	46	18	explains	explain	VERB
ap-5826	46	19	the	the	DET
ap-5826	46	20	information	information	NOUN
ap-5826	46	21	in	in	ADP
ap-5826	46	22	bits	bit	NOUN
ap-5826	46	23	,	,	PUNCT
ap-5826	46	24	is	be	AUX
ap-5826	46	25	supplied	supply	VERB
ap-5826	46	26	by	by	ADP
ap-5826	46	27	natural	natural	ADJ
ap-5826	46	28	algorithm	algorithm	NOUN
ap-5826	46	29	ln	ln	PROPN
ap-5826	46	30	.	.	PROPN
ap-5826	46	31	3	3	X
ap-5826	46	32	.	.	NOUN
ap-5826	46	33	point	point	NOUN
ap-5826	46	34	information	information	NOUN
ap-5826	46	35	gain	gain	NOUN
ap-5826	46	36	in	in	ADP
ap-5826	46	37	the	the	DET
ap-5826	46	38	form	form	NOUN
ap-5826	46	39	of	of	ADP
ap-5826	46	40	the	the	DET
ap-5826	46	41	variable	variable	ADJ
ap-5826	46	42	pig	pig	NOUN
ap-5826	46	43	(	(	PUNCT
ap-5826	46	44	γ(i	γ(i	NOUN
ap-5826	46	45	)	)	PUNCT
ap-5826	46	46	)	)	PUNCT
ap-5826	46	47	,	,	PUNCT
ap-5826	46	48	the	the	DET
ap-5826	46	49	shannon	shannon	PROPN
ap-5826	46	50	entropy	entropy	PROPN
ap-5826	46	51	allows	allow	VERB
ap-5826	46	52	to	to	PART
ap-5826	46	53	measure	measure	VERB
ap-5826	46	54	an	an	DET
ap-5826	46	55	information	information	NOUN
ap-5826	46	56	content	content	NOUN
ap-5826	46	57	of	of	ADP
ap-5826	46	58	either	either	CCONJ
ap-5826	46	59	the	the	DET
ap-5826	46	60	whole	whole	ADJ
ap-5826	46	61	image	image	NOUN
ap-5826	46	62	or	or	CCONJ
ap-5826	46	63	a	a	DET
ap-5826	46	64	selected	select	VERB
ap-5826	46	65	part	part	NOUN
ap-5826	46	66	of	of	ADP
ap-5826	46	67	the	the	DET
ap-5826	46	68	image	image	NOUN
ap-5826	46	69	.	.	PUNCT
ap-5826	47	1	the	the	DET
ap-5826	47	2	key	key	ADJ
ap-5826	47	3	idea	idea	NOUN
ap-5826	47	4	for	for	ADP
ap-5826	47	5	the	the	DET
ap-5826	47	6	definition	definition	NOUN
ap-5826	47	7	of	of	ADP
ap-5826	47	8	the	the	DET
ap-5826	47	9	pig	pig	NOUN
ap-5826	47	10	was	be	AUX
ap-5826	47	11	if	if	SCONJ
ap-5826	47	12	the	the	DET
ap-5826	47	13	occurrence	occurrence	NOUN
ap-5826	47	14	of	of	ADP
ap-5826	47	15	the	the	DET
ap-5826	47	16	intensity	intensity	NOUN
ap-5826	47	17	of	of	ADP
ap-5826	47	18	a	a	DET
ap-5826	47	19	single	single	ADJ
ap-5826	47	20	pixel	pixel	NOUN
ap-5826	47	21	is	be	AUX
ap-5826	47	22	a	a	DET
ap-5826	47	23	surprise	surprise	NOUN
ap-5826	47	24	.	.	PUNCT
ap-5826	48	1	one	one	PRON
ap-5826	48	2	can	can	AUX
ap-5826	48	3	predict	predict	VERB
ap-5826	48	4	that	that	SCONJ
ap-5826	48	5	,	,	PUNCT
ap-5826	48	6	on	on	ADP
ap-5826	48	7	the	the	DET
ap-5826	48	8	one	one	NUM
ap-5826	48	9	hand	hand	NOUN
ap-5826	48	10	,	,	PUNCT
ap-5826	48	11	the	the	DET
ap-5826	48	12	background	background	NOUN
ap-5826	48	13	pixels	pixel	NOUN
ap-5826	48	14	will	will	AUX
ap-5826	48	15	not	not	PART
ap-5826	48	16	carry	carry	VERB
ap-5826	48	17	much	much	ADJ
ap-5826	48	18	information	information	NOUN
ap-5826	48	19	and	and	CCONJ
ap-5826	48	20	,	,	PUNCT
ap-5826	48	21	on	on	ADP
ap-5826	48	22	the	the	DET
ap-5826	48	23	other	other	ADJ
ap-5826	48	24	hand	hand	NOUN
ap-5826	48	25	,	,	PUNCT
ap-5826	48	26	the	the	DET
ap-5826	48	27	pixels	pixel	NOUN
ap-5826	48	28	of	of	ADP
ap-5826	48	29	structurally	structurally	ADV
ap-5826	48	30	complicated	complicated	ADJ
ap-5826	48	31	objects	object	NOUN
ap-5826	48	32	will	will	AUX
ap-5826	48	33	increase	increase	VERB
ap-5826	48	34	the	the	DET
ap-5826	48	35	entropy	entropy	NOUN
ap-5826	48	36	on	on	ADP
ap-5826	48	37	their	their	PRON
ap-5826	48	38	positions	position	NOUN
ap-5826	48	39	after	after	ADP
ap-5826	48	40	discarding	discard	VERB
ap-5826	48	41	one	one	NUM
ap-5826	48	42	of	of	ADP
ap-5826	48	43	them	they	PRON
ap-5826	48	44	.	.	PUNCT
ap-5826	49	1	in	in	ADP
ap-5826	49	2	order	order	NOUN
ap-5826	49	3	to	to	PART
ap-5826	49	4	investigate	investigate	VERB
ap-5826	49	5	the	the	DET
ap-5826	49	6	contribution	contribution	NOUN
ap-5826	49	7	of	of	ADP
ap-5826	49	8	one	one	NUM
ap-5826	49	9	single	single	ADJ
ap-5826	49	10	pixel	pixel	NOUN
ap-5826	49	11	with	with	ADP
ap-5826	49	12	intensity	intensity	NOUN
ap-5826	49	13	value	value	NOUN
ap-5826	49	14	i	i	PRON
ap-5826	49	15	to	to	ADP
ap-5826	49	16	the	the	DET
ap-5826	49	17	total	total	ADJ
ap-5826	49	18	entropy	entropy	NOUN
ap-5826	49	19	,	,	PUNCT
ap-5826	49	20	it	it	PRON
ap-5826	49	21	is	be	AUX
ap-5826	49	22	necessary	necessary	ADJ
ap-5826	49	23	to	to	PART
ap-5826	49	24	introduce	introduce	VERB
ap-5826	49	25	a	a	DET
ap-5826	49	26	histogram	histogram	NOUN
ap-5826	49	27	n(i	n(i	PROPN
ap-5826	49	28	)	)	PUNCT
ap-5826	49	29	,	,	PUNCT
ap-5826	49	30	which	which	PRON
ap-5826	49	31	is	be	AUX
ap-5826	49	32	created	create	VERB
ap-5826	49	33	without	without	ADP
ap-5826	49	34	this	this	DET
ap-5826	49	35	investigated	investigate	VERB
ap-5826	49	36	pixel	pixel	NOUN
ap-5826	49	37	:	:	PUNCT
ap-5826	49	38	n	n	CCONJ
ap-5826	49	39	(	(	PUNCT
ap-5826	49	40	i	i	NOUN
ap-5826	49	41	)	)	PUNCT
ap-5826	49	42	j	j	PROPN
ap-5826	50	1	=	=	PRON
ap-5826	50	2	{	{	PUNCT
ap-5826	50	3	nj	nj	PROPN
ap-5826	50	4	for	for	ADP
ap-5826	50	5	j	j	PROPN
ap-5826	50	6	6=	6=	PROPN
ap-5826	51	1	i	i	PRON
ap-5826	51	2	nj	nj	PROPN
ap-5826	52	1	−	−	NUM
ap-5826	52	2	1	1	NUM
ap-5826	52	3	for	for	ADP
ap-5826	52	4	j	j	PROPN
ap-5826	52	5	=	=	PROPN
ap-5826	52	6	i.	i.	PROPN
ap-5826	52	7	the	the	DET
ap-5826	52	8	intensity	intensity	NOUN
ap-5826	52	9	value	value	NOUN
ap-5826	52	10	i	i	PRON
ap-5826	52	11	of	of	ADP
ap-5826	52	12	the	the	DET
ap-5826	52	13	investigated	investigate	VERB
ap-5826	52	14	pixel	pixel	PROPN
ap-5826	52	15	φ(h	φ(h	PROPN
ap-5826	52	16	,	,	PUNCT
ap-5826	52	17	w	w	NOUN
ap-5826	52	18	)	)	PUNCT
ap-5826	52	19	=	=	SYM
ap-5826	52	20	φ(x	φ(x	PROPN
ap-5826	52	21	,	,	PUNCT
ap-5826	52	22	y	y	NOUN
ap-5826	52	23	)	)	PUNCT
ap-5826	52	24	was	be	AUX
ap-5826	52	25	now	now	ADV
ap-5826	52	26	discarded	discard	VERB
ap-5826	52	27	from	from	ADP
ap-5826	52	28	the	the	DET
ap-5826	52	29	computation	computation	NOUN
ap-5826	52	30	,	,	PUNCT
ap-5826	52	31	but	but	CCONJ
ap-5826	52	32	only	only	ADV
ap-5826	52	33	once	once	ADV
ap-5826	52	34	.	.	PUNCT
ap-5826	53	1	one	one	NUM
ap-5826	53	2	single	single	ADJ
ap-5826	53	3	pixel	pixel	NOUN
ap-5826	53	4	of	of	ADP
ap-5826	53	5	intensity	intensity	NOUN
ap-5826	53	6	j	j	PROPN
ap-5826	53	7	will	will	AUX
ap-5826	53	8	only	only	ADV
ap-5826	53	9	decrease	decrease	VERB
ap-5826	53	10	the	the	DET
ap-5826	53	11	histogram	histogram	NOUN
ap-5826	53	12	value	value	NOUN
ap-5826	53	13	n(i	n(i	PROPN
ap-5826	53	14	)	)	PUNCT
ap-5826	53	15	j	j	PROPN
ap-5826	53	16	on	on	ADP
ap-5826	53	17	its	its	PRON
ap-5826	53	18	intensity	intensity	NOUN
ap-5826	53	19	position	position	NOUN
ap-5826	53	20	i.	i.	NOUN
ap-5826	53	21	then	then	ADV
ap-5826	53	22	,	,	PUNCT
ap-5826	53	23	the	the	DET
ap-5826	53	24	histogram	histogram	NOUN
ap-5826	53	25	is	be	AUX
ap-5826	53	26	normalized	normalize	VERB
ap-5826	53	27	according	accord	VERB
ap-5826	53	28	to	to	ADP
ap-5826	53	29	condition	condition	NOUN
ap-5826	53	30	(	(	PUNCT
ap-5826	53	31	1	1	NUM
ap-5826	53	32	)	)	PUNCT
ap-5826	53	33	.	.	PUNCT
ap-5826	54	1	the	the	DET
ap-5826	54	2	probability	probability	NOUN
ap-5826	54	3	(	(	PUNCT
ap-5826	54	4	value	value	NOUN
ap-5826	54	5	of	of	ADP
ap-5826	54	6	the	the	DET
ap-5826	54	7	normalized	normalize	VERB
ap-5826	54	8	histogram	histogram	NOUN
ap-5826	54	9	)	)	PUNCT
ap-5826	54	10	p(i	p(i	PROPN
ap-5826	54	11	)	)	PUNCT
ap-5826	55	1	i	i	PRON
ap-5826	55	2	of	of	ADP
ap-5826	55	3	the	the	DET
ap-5826	55	4	intensity	intensity	NOUN
ap-5826	55	5	i	i	PRON
ap-5826	55	6	is	be	AUX
ap-5826	55	7	slightly	slightly	ADV
ap-5826	55	8	lower	low	ADJ
ap-5826	55	9	than	than	ADP
ap-5826	55	10	the	the	DET
ap-5826	55	11	probability	probability	NOUN
ap-5826	55	12	pi	pi	NOUN
ap-5826	55	13	of	of	ADP
ap-5826	55	14	the	the	DET
ap-5826	55	15	primary	primary	ADJ
ap-5826	55	16	normalized	normalize	VERB
ap-5826	55	17	histogram	histogram	NOUN
ap-5826	55	18	p	p	X
ap-5826	55	19	(	(	PUNCT
ap-5826	55	20	with	with	ADP
ap-5826	55	21	all	all	DET
ap-5826	55	22	pixels	pixel	NOUN
ap-5826	55	23	)	)	PUNCT
ap-5826	55	24	.	.	PUNCT
ap-5826	56	1	the	the	DET
ap-5826	56	2	other	other	ADJ
ap-5826	56	3	probabilities	probability	NOUN
ap-5826	56	4	p(i	p(i	PROPN
ap-5826	56	5	)	)	PUNCT
ap-5826	56	6	j	j	PROPN
ap-5826	56	7	,	,	PUNCT
ap-5826	56	8	where	where	SCONJ
ap-5826	56	9	j	j	PROPN
ap-5826	56	10	is	be	AUX
ap-5826	56	11	not	not	PART
ap-5826	56	12	the	the	DET
ap-5826	56	13	value	value	NOUN
ap-5826	56	14	of	of	ADP
ap-5826	56	15	the	the	DET
ap-5826	56	16	investigated	investigated	ADJ
ap-5826	56	17	pixel	pixel	PROPN
ap-5826	56	18	i	i	PRON
ap-5826	56	19	,	,	PUNCT
ap-5826	56	20	are	be	AUX
ap-5826	56	21	slightly	slightly	ADV
ap-5826	56	22	higher	high	ADJ
ap-5826	56	23	than	than	ADP
ap-5826	56	24	the	the	DET
ap-5826	56	25	probability	probability	NOUN
ap-5826	56	26	pj	pj	PROPN
ap-5826	56	27	of	of	ADP
ap-5826	56	28	the	the	DET
ap-5826	56	29	primary	primary	ADJ
ap-5826	56	30	normalized	normalize	VERB
ap-5826	56	31	histogram	histogram	NOUN
ap-5826	56	32	p	p	X
ap-5826	56	33	(	(	PUNCT
ap-5826	56	34	with	with	ADP
ap-5826	56	35	all	all	DET
ap-5826	56	36	pixels	pixel	NOUN
ap-5826	56	37	)	)	PUNCT
ap-5826	56	38	.	.	PUNCT
ap-5826	57	1	then	then	ADV
ap-5826	57	2	,	,	PUNCT
ap-5826	57	3	the	the	DET
ap-5826	57	4	second	second	ADJ
ap-5826	57	5	shannon	shannon	PROPN
ap-5826	57	6	information	information	PROPN
ap-5826	57	7	entropy	entropy	PROPN
ap-5826	57	8	h	h	PROPN
ap-5826	57	9	(	(	PUNCT
ap-5826	57	10	p(i	p(i	PROPN
ap-5826	57	11	)	)	PUNCT
ap-5826	57	12	)	)	PUNCT
ap-5826	57	13	without	without	ADP
ap-5826	57	14	the	the	DET
ap-5826	57	15	pixel	pixel	NOUN
ap-5826	57	16	of	of	ADP
ap-5826	57	17	intensity	intensity	NOUN
ap-5826	57	18	i	i	PRON
ap-5826	57	19	at	at	ADP
ap-5826	57	20	the	the	DET
ap-5826	57	21	position	position	NOUN
ap-5826	57	22	(	(	PUNCT
ap-5826	57	23	x	x	NOUN
ap-5826	57	24	,	,	PUNCT
ap-5826	57	25	y	y	NOUN
ap-5826	57	26	)	)	PUNCT
ap-5826	57	27	is	be	AUX
ap-5826	57	28	computed	compute	VERB
ap-5826	57	29	from	from	ADP
ap-5826	57	30	the	the	DET
ap-5826	57	31	modified	modify	VERB
ap-5826	57	32	normalized	normalize	VERB
ap-5826	57	33	histogram	histogram	NOUN
ap-5826	57	34	p	p	PROPN
ap-5826	57	35	(	(	PUNCT
ap-5826	57	36	i	i	NOUN
ap-5826	57	37	)	)	PUNCT
ap-5826	57	38	as	as	ADP
ap-5826	57	39	h	h	PROPN
ap-5826	57	40	(	(	PUNCT
ap-5826	57	41	p(i	p(i	PROPN
ap-5826	57	42	)	)	PUNCT
ap-5826	57	43	)	)	PUNCT
ap-5826	58	1	=	=	PUNCT
ap-5826	59	1	−	−	PROPN
ap-5826	59	2	∑	∑	PUNCT
ap-5826	59	3	j	j	PROPN
ap-5826	59	4	p	p	X
ap-5826	59	5	(	(	PUNCT
ap-5826	59	6	i	i	PROPN
ap-5826	59	7	)	)	PUNCT
ap-5826	59	8	j	j	PROPN
ap-5826	59	9	ln(p(i	ln(p(i	NUM
ap-5826	59	10	)	)	PUNCT
ap-5826	59	11	j	j	PROPN
ap-5826	59	12	)	)	PUNCT
ap-5826	59	13	,	,	PUNCT
ap-5826	59	14	(	(	PUNCT
ap-5826	59	15	6	6	NUM
ap-5826	59	16	)	)	PUNCT
ap-5826	59	17	where	where	SCONJ
ap-5826	59	18	the	the	DET
ap-5826	59	19	individual	individual	ADJ
ap-5826	59	20	information	information	NOUN
ap-5826	59	21	contributions	contribution	NOUN
ap-5826	59	22	ln(p(i	ln(p(i	NUM
ap-5826	59	23	)	)	PUNCT
ap-5826	59	24	j	j	PROPN
ap-5826	59	25	)	)	PUNCT
ap-5826	59	26	as	as	ADV
ap-5826	59	27	well	well	ADV
ap-5826	59	28	as	as	ADP
ap-5826	59	29	their	their	PRON
ap-5826	59	30	weights	weight	NOUN
ap-5826	59	31	p(i	p(i	PROPN
ap-5826	59	32	)	)	PUNCT
ap-5826	59	33	j	j	PROPN
ap-5826	59	34	slightly	slightly	ADV
ap-5826	59	35	differ	differ	VERB
ap-5826	59	36	from	from	ADP
ap-5826	59	37	those	those	PRON
ap-5826	59	38	in	in	ADP
ap-5826	59	39	the	the	DET
ap-5826	59	40	shannon	shannon	PROPN
ap-5826	59	41	information	information	PROPN
ap-5826	59	42	entropy	entropy	PROPN
ap-5826	59	43	h	h	PROPN
ap-5826	59	44	(	(	PUNCT
ap-5826	59	45	p	p	NOUN
ap-5826	59	46	)	)	PUNCT
ap-5826	59	47	(	(	PUNCT
ap-5826	59	48	eq	eq	NOUN
ap-5826	59	49	.	.	PROPN
ap-5826	59	50	5	5	NUM
ap-5826	59	51	)	)	PUNCT
ap-5826	59	52	.	.	PUNCT
ap-5826	60	1	thus	thus	ADV
ap-5826	60	2	,	,	PUNCT
ap-5826	60	3	using	use	VERB
ap-5826	60	4	eqs	eqs	PROPN
ap-5826	60	5	.	.	PUNCT
ap-5826	61	1	(	(	PUNCT
ap-5826	61	2	5)–(6	5)–(6	NUM
ap-5826	61	3	)	)	PUNCT
ap-5826	61	4	,	,	PUNCT
ap-5826	61	5	we	we	PRON
ap-5826	61	6	obtained	obtain	VERB
ap-5826	61	7	two	two	NUM
ap-5826	61	8	different	different	ADJ
ap-5826	61	9	values	value	NOUN
ap-5826	61	10	of	of	ADP
ap-5826	61	11	the	the	DET
ap-5826	61	12	information	information	NOUN
ap-5826	61	13	entropy	entropy	PROPN
ap-5826	61	14	:	:	PUNCT
ap-5826	61	15	the	the	DET
ap-5826	61	16	entropy	entropy	PROPN
ap-5826	61	17	h	h	PROPN
ap-5826	61	18	(	(	PUNCT
ap-5826	61	19	p	p	NOUN
ap-5826	61	20	)	)	PUNCT
ap-5826	61	21	represents	represent	VERB
ap-5826	61	22	the	the	DET
ap-5826	61	23	total	total	ADJ
ap-5826	61	24	information	information	NOUN
ap-5826	61	25	in	in	ADP
ap-5826	61	26	the	the	DET
ap-5826	61	27	whole	whole	ADJ
ap-5826	61	28	original	original	ADJ
ap-5826	61	29	image	image	NOUN
ap-5826	61	30	,	,	PUNCT
ap-5826	61	31	whereas	whereas	SCONJ
ap-5826	61	32	the	the	DET
ap-5826	61	33	entropy	entropy	PROPN
ap-5826	61	34	h	h	PROPN
ap-5826	61	35	(	(	PUNCT
ap-5826	61	36	p(i	p(i	PROPN
ap-5826	61	37	)	)	PUNCT
ap-5826	61	38	)	)	PUNCT
ap-5826	61	39	represents	represent	VERB
ap-5826	61	40	the	the	DET
ap-5826	61	41	information	information	NOUN
ap-5826	61	42	in	in	ADP
ap-5826	61	43	the	the	DET
ap-5826	61	44	image	image	NOUN
ap-5826	61	45	without	without	ADP
ap-5826	61	46	the	the	DET
ap-5826	61	47	investigated	investigated	ADJ
ap-5826	61	48	pixel	pixel	NOUN
ap-5826	61	49	.	.	PUNCT
ap-5826	62	1	γ(i	γ(i	NOUN
ap-5826	62	2	)	)	PUNCT
ap-5826	63	1	=	=	SYM
ap-5826	63	2	h	h	NOUN
ap-5826	63	3	(	(	PUNCT
ap-5826	63	4	p)−h	p)−h	NUM
ap-5826	63	5	(	(	PUNCT
ap-5826	63	6	p(i	p(i	PROPN
ap-5826	63	7	)	)	PUNCT
ap-5826	63	8	)	)	PUNCT
ap-5826	64	1	=	=	SYM
ap-5826	65	1	h	h	NOUN
ap-5826	65	2	−h	−h	ADV
ap-5826	65	3	(	(	PUNCT
ap-5826	65	4	i	i	NOUN
ap-5826	65	5	)	)	PUNCT
ap-5826	65	6	(	(	PUNCT
ap-5826	65	7	7	7	X
ap-5826	65	8	)	)	PUNCT
ap-5826	65	9	refers	refer	VERB
ap-5826	65	10	then	then	ADV
ap-5826	65	11	to	to	ADP
ap-5826	65	12	a	a	DET
ap-5826	65	13	difference	difference	NOUN
ap-5826	65	14	between	between	ADP
ap-5826	65	15	the	the	DET
ap-5826	65	16	entropy	entropy	NOUN
ap-5826	65	17	of	of	ADP
ap-5826	65	18	the	the	DET
ap-5826	65	19	two	two	NUM
ap-5826	65	20	histograms	histogram	NOUN
ap-5826	65	21	and	and	CCONJ
ap-5826	65	22	thus	thus	ADV
ap-5826	65	23	also	also	ADV
ap-5826	65	24	to	to	ADP
ap-5826	65	25	the	the	DET
ap-5826	65	26	difference	difference	NOUN
ap-5826	65	27	between	between	ADP
ap-5826	65	28	the	the	DET
ap-5826	65	29	entropy	entropy	NOUN
ap-5826	65	30	of	of	ADP
ap-5826	65	31	two	two	NUM
ap-5826	65	32	images	image	NOUN
ap-5826	65	33	–	–	PUNCT
ap-5826	65	34	with	with	ADP
ap-5826	65	35	and	and	CCONJ
ap-5826	65	36	without	without	ADP
ap-5826	65	37	the	the	DET
ap-5826	65	38	investigated	investigate	VERB
ap-5826	65	39	pixel	pixel	NOUN
ap-5826	65	40	φ(x	φ(x	PROPN
ap-5826	65	41	,	,	PUNCT
ap-5826	65	42	y	y	NOUN
ap-5826	65	43	)	)	PUNCT
ap-5826	65	44	of	of	ADP
ap-5826	65	45	the	the	DET
ap-5826	65	46	intensity	intensity	NOUN
ap-5826	65	47	i.	i.	PROPN
ap-5826	65	48	recall	recall	VERB
ap-5826	65	49	that	that	SCONJ
ap-5826	65	50	the	the	DET
ap-5826	65	51	histograms	histogram	NOUN
ap-5826	65	52	p	p	PROPN
ap-5826	65	53	and	and	CCONJ
ap-5826	65	54	p(i	p(i	PROPN
ap-5826	65	55	)	)	PUNCT
ap-5826	65	56	were	be	AUX
ap-5826	65	57	normalized	normalize	VERB
ap-5826	65	58	and	and	CCONJ
ap-5826	65	59	,	,	PUNCT
ap-5826	65	60	therefore	therefore	ADV
ap-5826	65	61	,	,	PUNCT
ap-5826	65	62	the	the	DET
ap-5826	65	63	difference	difference	NOUN
ap-5826	65	64	γ(i	γ(i	NOUN
ap-5826	65	65	)	)	PUNCT
ap-5826	65	66	is	be	AUX
ap-5826	65	67	usually	usually	ADV
ap-5826	65	68	a	a	DET
ap-5826	65	69	small	small	ADJ
ap-5826	65	70	number	number	NOUN
ap-5826	65	71	.	.	PUNCT
ap-5826	66	1	(	(	PUNCT
ap-5826	66	2	in	in	ADP
ap-5826	66	3	the	the	DET
ap-5826	66	4	iiep	iiep	PROPN
ap-5826	66	5	software	software	NOUN
ap-5826	66	6	,	,	PUNCT
ap-5826	66	7	the	the	DET
ap-5826	66	8	point	point	NOUN
ap-5826	66	9	information	information	NOUN
ap-5826	66	10	gain	gain	NOUN
ap-5826	66	11	is	be	AUX
ap-5826	66	12	defined	define	VERB
ap-5826	66	13	with	with	ADP
ap-5826	66	14	the	the	DET
ap-5826	66	15	opposite	opposite	ADJ
ap-5826	66	16	sign	sign	NOUN
ap-5826	66	17	as	as	ADP
ap-5826	66	18	γ(i	γ(i	NOUN
ap-5826	66	19	)	)	PUNCT
ap-5826	67	1	=	=	SYM
ap-5826	67	2	h	h	NOUN
ap-5826	67	3	(	(	PUNCT
ap-5826	67	4	i	i	NOUN
ap-5826	67	5	)	)	PUNCT
ap-5826	67	6	−h	−h	ADV
ap-5826	67	7	.	.	PUNCT
ap-5826	67	8	)	)	PUNCT
ap-5826	68	1	the	the	DET
ap-5826	68	2	difference	difference	NOUN
ap-5826	68	3	γ(i	γ(i	NOUN
ap-5826	68	4	)	)	PUNCT
ap-5826	68	5	represents	represent	VERB
ap-5826	68	6	either	either	CCONJ
ap-5826	68	7	the	the	DET
ap-5826	68	8	entropy	entropy	PROPN
ap-5826	68	9	contribution	contribution	NOUN
ap-5826	68	10	of	of	ADP
ap-5826	68	11	the	the	DET
ap-5826	68	12	pixel	pixel	PROPN
ap-5826	68	13	φ(x	φ(x	PROPN
ap-5826	68	14	,	,	PUNCT
ap-5826	68	15	y	y	NOUN
ap-5826	68	16	)	)	PUNCT
ap-5826	68	17	or	or	CCONJ
ap-5826	68	18	the	the	DET
ap-5826	68	19	contribution	contribution	NOUN
ap-5826	68	20	of	of	ADP
ap-5826	68	21	the	the	DET
ap-5826	68	22	intensity	intensity	NOUN
ap-5826	68	23	value	value	NOUN
ap-5826	68	24	of	of	ADP
ap-5826	68	25	the	the	DET
ap-5826	68	26	pixel	pixel	PROPN
ap-5826	68	27	φ(x	φ(x	PROPN
ap-5826	68	28	,	,	PUNCT
ap-5826	68	29	y	y	NOUN
ap-5826	68	30	)	)	PUNCT
ap-5826	68	31	to	to	ADP
ap-5826	68	32	the	the	DET
ap-5826	68	33	information	information	NOUN
ap-5826	68	34	content	content	NOUN
ap-5826	68	35	of	of	ADP
ap-5826	68	36	the	the	DET
ap-5826	68	37	image	image	NOUN
ap-5826	68	38	.	.	PUNCT
ap-5826	69	1	in	in	ADP
ap-5826	69	2	other	other	ADJ
ap-5826	69	3	words	word	NOUN
ap-5826	69	4	,	,	PUNCT
ap-5826	69	5	the	the	DET
ap-5826	69	6	transformation	transformation	NOUN
ap-5826	69	7	of	of	ADP
ap-5826	69	8	the	the	DET
ap-5826	69	9	intensity	intensity	NOUN
ap-5826	69	10	value	value	NOUN
ap-5826	69	11	of	of	ADP
ap-5826	69	12	the	the	DET
ap-5826	69	13	pixel	pixel	PROPN
ap-5826	69	14	φ(x	φ(x	PROPN
ap-5826	69	15	,	,	PUNCT
ap-5826	69	16	y	y	NOUN
ap-5826	69	17	)	)	PUNCT
ap-5826	69	18	value	value	NOUN
ap-5826	69	19	to	to	ADP
ap-5826	69	20	its	its	PRON
ap-5826	69	21	contribution	contribution	NOUN
ap-5826	69	22	to	to	ADP
ap-5826	69	23	the	the	DET
ap-5826	69	24	image	image	NOUN
ap-5826	69	25	via	via	ADP
ap-5826	69	26	eq	eq	NOUN
ap-5826	69	27	.	.	PUNCT
ap-5826	70	1	(	(	PUNCT
ap-5826	70	2	7	7	X
ap-5826	70	3	)	)	PUNCT
ap-5826	70	4	represents	represent	VERB
ap-5826	70	5	the	the	DET
ap-5826	70	6	information	information	NOUN
ap-5826	70	7	contribution	contribution	NOUN
ap-5826	70	8	carried	carry	VERB
ap-5826	70	9	by	by	ADP
ap-5826	70	10	this	this	DET
ap-5826	70	11	pixel	pixel	PROPN
ap-5826	70	12	.	.	PUNCT
ap-5826	71	1	the	the	DET
ap-5826	71	2	computation	computation	NOUN
ap-5826	71	3	of	of	ADP
ap-5826	71	4	the	the	DET
ap-5826	71	5	γ(i	γ(i	NOUN
ap-5826	71	6	)	)	PUNCT
ap-5826	71	7	for	for	ADP
ap-5826	71	8	each	each	DET
ap-5826	71	9	single	single	ADJ
ap-5826	71	10	pixel	pixel	NOUN
ap-5826	71	11	transforms	transform	VERB
ap-5826	71	12	an	an	DET
ap-5826	71	13	original	original	ADJ
ap-5826	71	14	image	image	NOUN
ap-5826	71	15	into	into	ADP
ap-5826	71	16	an	an	DET
ap-5826	71	17	entropy	entropy	NOUN
ap-5826	71	18	map	map	NOUN
ap-5826	71	19	,	,	PUNCT
ap-5826	71	20	i.e.	i.e.	X
ap-5826	71	21	,	,	PUNCT
ap-5826	71	22	into	into	ADP
ap-5826	71	23	an	an	DET
ap-5826	71	24	image	image	NOUN
ap-5826	71	25	that	that	PRON
ap-5826	71	26	shows	show	VERB
ap-5826	71	27	the	the	DET
ap-5826	71	28	contribution	contribution	NOUN
ap-5826	71	29	of	of	ADP
ap-5826	71	30	each	each	DET
ap-5826	71	31	pixel	pixel	NOUN
ap-5826	71	32	to	to	ADP
ap-5826	71	33	the	the	DET
ap-5826	71	34	total	total	ADJ
ap-5826	71	35	information	information	NOUN
ap-5826	71	36	content	content	NOUN
ap-5826	71	37	of	of	ADP
ap-5826	71	38	the	the	DET
ap-5826	71	39	image	image	NOUN
ap-5826	71	40	.	.	PUNCT
ap-5826	72	1	the	the	DET
ap-5826	72	2	variable	variable	ADJ
ap-5826	72	3	γ(i	γ(i	NOUN
ap-5826	72	4	)	)	PUNCT
ap-5826	72	5	is	be	AUX
ap-5826	72	6	dependent	dependent	ADJ
ap-5826	72	7	only	only	ADV
ap-5826	72	8	on	on	ADP
ap-5826	72	9	the	the	DET
ap-5826	72	10	intensity	intensity	NOUN
ap-5826	72	11	of	of	ADP
ap-5826	72	12	the	the	DET
ap-5826	72	13	pixel	pixel	PROPN
ap-5826	72	14	φ(x	φ(x	PROPN
ap-5826	72	15	,	,	PUNCT
ap-5826	72	16	y	y	NOUN
ap-5826	72	17	)	)	PUNCT
ap-5826	72	18	and	and	CCONJ
ap-5826	72	19	does	do	AUX
ap-5826	72	20	not	not	PART
ap-5826	72	21	carry	carry	VERB
ap-5826	72	22	any	any	DET
ap-5826	72	23	information	information	NOUN
ap-5826	72	24	about	about	ADP
ap-5826	72	25	the	the	DET
ap-5826	72	26	pixel	pixel	PROPN
ap-5826	72	27	’s	’s	PART
ap-5826	72	28	position	position	NOUN
ap-5826	72	29	.	.	PUNCT
ap-5826	73	1	however	however	ADV
ap-5826	73	2	,	,	PUNCT
ap-5826	73	3	the	the	DET
ap-5826	73	4	histogram	histogram	NOUN
ap-5826	73	5	can	can	AUX
ap-5826	73	6	include	include	VERB
ap-5826	73	7	pixels	pixel	NOUN
ap-5826	73	8	from	from	ADP
ap-5826	73	9	not	not	PART
ap-5826	73	10	only	only	ADV
ap-5826	73	11	the	the	DET
ap-5826	73	12	whole	whole	ADJ
ap-5826	73	13	image	image	NOUN
ap-5826	73	14	but	but	CCONJ
ap-5826	73	15	also	also	ADV
ap-5826	73	16	from	from	ADP
ap-5826	73	17	a	a	DET
ap-5826	73	18	selected	select	VERB
ap-5826	73	19	area	area	NOUN
ap-5826	73	20	around	around	ADP
ap-5826	73	21	an	an	DET
ap-5826	73	22	investigated	investigated	ADJ
ap-5826	73	23	pixel	pixel	NOUN
ap-5826	73	24	.	.	PUNCT
ap-5826	74	1	if	if	SCONJ
ap-5826	74	2	the	the	DET
ap-5826	74	3	image	image	NOUN
ap-5826	74	4	has	have	VERB
ap-5826	74	5	a	a	DET
ap-5826	74	6	semi	semi	ADJ
ap-5826	74	7	-	-	ADJ
ap-5826	74	8	uniform	uniform	ADJ
ap-5826	74	9	background	background	NOUN
ap-5826	74	10	with	with	ADP
ap-5826	74	11	changes	change	NOUN
ap-5826	74	12	in	in	ADP
ap-5826	74	13	intensity	intensity	NOUN
ap-5826	74	14	and	and	CCONJ
ap-5826	74	15	the	the	DET
ap-5826	74	16	background	background	NOUN
ap-5826	74	17	is	be	AUX
ap-5826	74	18	completely	completely	ADV
ap-5826	74	19	different	different	ADJ
ap-5826	74	20	in	in	ADP
ap-5826	74	21	different	different	ADJ
ap-5826	74	22	parts	part	NOUN
ap-5826	74	23	of	of	ADP
ap-5826	74	24	the	the	DET
ap-5826	74	25	image	image	NOUN
ap-5826	74	26	,	,	PUNCT
ap-5826	74	27	it	it	PRON
ap-5826	74	28	is	be	AUX
ap-5826	74	29	594	594	NUM
ap-5826	74	30	vol	vol	NOUN
ap-5826	74	31	.	.	PUNCT
ap-5826	75	1	59	59	NUM
ap-5826	75	2	no	no	NOUN
ap-5826	75	3	.	.	PUNCT
ap-5826	76	1	6/2019	6/2019	NUM
ap-5826	76	2	optimization	optimization	NOUN
ap-5826	76	3	of	of	ADP
ap-5826	76	4	computational	computational	ADJ
ap-5826	76	5	burden	burden	NOUN
ap-5826	76	6	of	of	ADP
ap-5826	76	7	the	the	DET
ap-5826	76	8	point	point	NOUN
ap-5826	76	9	information	information	NOUN
ap-5826	76	10	gain	gain	VERB
ap-5826	76	11	advantageous	advantageous	ADJ
ap-5826	76	12	to	to	PART
ap-5826	76	13	use	use	VERB
ap-5826	76	14	the	the	DET
ap-5826	76	15	row	row	NOUN
ap-5826	76	16	and	and	CCONJ
ap-5826	76	17	the	the	DET
ap-5826	76	18	column	column	NOUN
ap-5826	76	19	with	with	ADP
ap-5826	76	20	the	the	DET
ap-5826	76	21	investigated	investigate	VERB
ap-5826	76	22	pixel	pixel	NOUN
ap-5826	76	23	in	in	ADP
ap-5826	76	24	the	the	DET
ap-5826	76	25	centre	centre	NOUN
ap-5826	76	26	as	as	ADP
ap-5826	76	27	the	the	DET
ap-5826	76	28	area	area	NOUN
ap-5826	76	29	for	for	ADP
ap-5826	76	30	the	the	DET
ap-5826	76	31	computation	computation	NOUN
ap-5826	76	32	of	of	ADP
ap-5826	76	33	the	the	DET
ap-5826	76	34	intensity	intensity	NOUN
ap-5826	76	35	histogram	histogram	NOUN
ap-5826	76	36	n	n	NOUN
ap-5826	76	37	=	=	PUNCT
ap-5826	76	38	n(x	n(x	X
ap-5826	76	39	)	)	PUNCT
ap-5826	76	40	+	+	CCONJ
ap-5826	76	41	n(y	n(y	ADJ
ap-5826	76	42	)	)	PUNCT
ap-5826	76	43	−ei	−ei	PROPN
ap-5826	76	44	,	,	PUNCT
ap-5826	76	45	(	(	PUNCT
ap-5826	76	46	8)	8)	NUM
ap-5826	76	47	where	where	SCONJ
ap-5826	76	48	the	the	DET
ap-5826	76	49	value	value	NOUN
ap-5826	76	50	of	of	ADP
ap-5826	76	51	pixel	pixel	PROPN
ap-5826	76	52	φ(x	φ(x	PROPN
ap-5826	76	53	,	,	PUNCT
ap-5826	76	54	y	y	NOUN
ap-5826	76	55	)	)	PUNCT
ap-5826	76	56	is	be	AUX
ap-5826	76	57	counted	count	VERB
ap-5826	76	58	only	only	ADV
ap-5826	76	59	once	once	ADV
ap-5826	76	60	.	.	PUNCT
ap-5826	77	1	the	the	DET
ap-5826	77	2	value	value	NOUN
ap-5826	77	3	of	of	ADP
ap-5826	77	4	the	the	DET
ap-5826	77	5	second	second	ADJ
ap-5826	77	6	pixel	pixel	NOUN
ap-5826	77	7	φ(x	φ(x	PROPN
ap-5826	77	8	,	,	PUNCT
ap-5826	77	9	y	y	NOUN
ap-5826	77	10	)	)	PUNCT
ap-5826	77	11	is	be	AUX
ap-5826	77	12	subtracted	subtract	VERB
ap-5826	77	13	using	use	VERB
ap-5826	77	14	the	the	DET
ap-5826	77	15	unit	unit	NOUN
ap-5826	77	16	histogram	histogram	NOUN
ap-5826	78	1	ei	ei	NOUN
ap-5826	79	1	=	=	PUNCT
ap-5826	80	1	[	[	X
ap-5826	80	2	0	0	NUM
ap-5826	80	3	,	,	PUNCT
ap-5826	80	4	0	0	NUM
ap-5826	80	5	,	,	PUNCT
ap-5826	80	6	.	.	PUNCT
ap-5826	80	7	.	.	PUNCT
ap-5826	81	1	.	.	PUNCT
ap-5826	82	1	,	,	PUNCT
ap-5826	82	2	1	1	NUM
ap-5826	82	3	,	,	PUNCT
ap-5826	82	4	.	.	PUNCT
ap-5826	82	5	.	.	PUNCT
ap-5826	82	6	.	.	PUNCT
ap-5826	83	1	,	,	PUNCT
ap-5826	83	2	0	0	NUM
ap-5826	83	3	,	,	PUNCT
ap-5826	83	4	0	0	NUM
ap-5826	83	5	]	]	PUNCT
ap-5826	83	6	with	with	ADP
ap-5826	83	7	1	1	NUM
ap-5826	83	8	at	at	ADP
ap-5826	83	9	the	the	DET
ap-5826	83	10	position	position	NOUN
ap-5826	83	11	relevant	relevant	ADJ
ap-5826	83	12	to	to	ADP
ap-5826	83	13	nj	nj	PROPN
ap-5826	83	14	=	=	SYM
ap-5826	83	15	ni	ni	PROPN
ap-5826	83	16	>	>	X
ap-5826	83	17	0	0	PROPN
ap-5826	83	18	.	.	PUNCT
ap-5826	84	1	the	the	DET
ap-5826	84	2	outputs	output	NOUN
ap-5826	84	3	consist	consist	VERB
ap-5826	84	4	of	of	ADP
ap-5826	84	5	the	the	DET
ap-5826	84	6	amount	amount	NOUN
ap-5826	84	7	of	of	ADP
ap-5826	84	8	information	information	NOUN
ap-5826	84	9	for	for	ADP
ap-5826	84	10	the	the	DET
ap-5826	84	11	cross	cross	NOUN
ap-5826	84	12	centred	centre	VERB
ap-5826	84	13	on	on	ADP
ap-5826	84	14	the	the	DET
ap-5826	84	15	investigated	investigated	ADJ
ap-5826	84	16	pixel	pixel	NOUN
ap-5826	84	17	itself	itself	PRON
ap-5826	84	18	.	.	PUNCT
ap-5826	85	1	the	the	DET
ap-5826	85	2	additional	additional	ADJ
ap-5826	85	3	histogram	histogram	NOUN
ap-5826	85	4	is	be	AUX
ap-5826	85	5	again	again	ADV
ap-5826	85	6	a	a	DET
ap-5826	85	7	histogram	histogram	NOUN
ap-5826	85	8	of	of	ADP
ap-5826	85	9	the	the	DET
ap-5826	85	10	values	value	NOUN
ap-5826	85	11	from	from	ADP
ap-5826	85	12	the	the	DET
ap-5826	85	13	cross	cross	NOUN
ap-5826	85	14	,	,	PUNCT
ap-5826	85	15	however	however	ADV
ap-5826	85	16	,	,	PUNCT
ap-5826	85	17	in	in	ADP
ap-5826	85	18	this	this	DET
ap-5826	85	19	case	case	NOUN
ap-5826	85	20	,	,	PUNCT
ap-5826	85	21	the	the	DET
ap-5826	85	22	intensity	intensity	NOUN
ap-5826	85	23	value	value	NOUN
ap-5826	85	24	of	of	ADP
ap-5826	85	25	the	the	DET
ap-5826	85	26	center	center	NOUN
ap-5826	85	27	pixel	pixel	VERB
ap-5826	85	28	φ(x	φ(x	PROPN
ap-5826	85	29	,	,	PUNCT
ap-5826	85	30	y	y	NOUN
ap-5826	85	31	)	)	PUNCT
ap-5826	85	32	was	be	AUX
ap-5826	85	33	discarded	discard	VERB
ap-5826	85	34	:	:	PUNCT
ap-5826	85	35	n(i	n(i	NUM
ap-5826	85	36	)	)	PUNCT
ap-5826	85	37	=	=	SYM
ap-5826	85	38	n(x	n(x	X
ap-5826	85	39	)	)	PUNCT
ap-5826	86	1	+	+	CCONJ
ap-5826	86	2	n(y	n(y	ADJ
ap-5826	86	3	)	)	PUNCT
ap-5826	86	4	−	−	NOUN
ap-5826	86	5	2ei	2ei	NOUN
ap-5826	86	6	.	.	PUNCT
ap-5826	87	1	(	(	PUNCT
ap-5826	87	2	9	9	X
ap-5826	87	3	)	)	PUNCT
ap-5826	87	4	the	the	DET
ap-5826	87	5	subsequent	subsequent	ADJ
ap-5826	87	6	application	application	NOUN
ap-5826	87	7	of	of	ADP
ap-5826	87	8	eq	eq	PROPN
ap-5826	87	9	.	.	PUNCT
ap-5826	88	1	(	(	PUNCT
ap-5826	88	2	5	5	X
ap-5826	88	3	)	)	PUNCT
ap-5826	88	4	results	result	NOUN
ap-5826	88	5	in	in	ADP
ap-5826	88	6	entropies	entropy	NOUN
ap-5826	88	7	h(x	h(x	PROPN
ap-5826	88	8	,	,	PUNCT
ap-5826	88	9	y)(p	y)(p	X
ap-5826	88	10	)	)	PUNCT
ap-5826	89	1	=	=	SYM
ap-5826	89	2	h(x	h(x	PROPN
ap-5826	89	3	,	,	PUNCT
ap-5826	89	4	y	y	PROPN
ap-5826	89	5	)	)	PUNCT
ap-5826	89	6	and	and	CCONJ
ap-5826	89	7	h(x	h(x	PROPN
ap-5826	89	8	,	,	PUNCT
ap-5826	89	9	y)(p	y)(p	X
ap-5826	89	10	(	(	PUNCT
ap-5826	89	11	i	i	NOUN
ap-5826	89	12	)	)	PUNCT
ap-5826	89	13	)	)	PUNCT
ap-5826	90	1	=	=	SYM
ap-5826	90	2	h	h	NOUN
ap-5826	90	3	(	(	PUNCT
ap-5826	90	4	i	i	NOUN
ap-5826	90	5	)	)	PUNCT
ap-5826	90	6	(	(	PUNCT
ap-5826	90	7	x	x	X
ap-5826	90	8	,	,	PUNCT
ap-5826	90	9	y	y	NOUN
ap-5826	90	10	)	)	PUNCT
ap-5826	90	11	with	with	ADP
ap-5826	90	12	and	and	CCONJ
ap-5826	90	13	without	without	ADP
ap-5826	90	14	the	the	DET
ap-5826	90	15	center	center	NOUN
ap-5826	90	16	pixel	pixel	NOUN
ap-5826	90	17	,	,	PUNCT
ap-5826	90	18	respectively	respectively	ADV
ap-5826	90	19	.	.	PUNCT
ap-5826	91	1	the	the	DET
ap-5826	91	2	difference	difference	NOUN
ap-5826	91	3	γ(i	γ(i	NOUN
ap-5826	91	4	)	)	PUNCT
ap-5826	91	5	(	(	PUNCT
ap-5826	91	6	x	x	X
ap-5826	91	7	,	,	PUNCT
ap-5826	91	8	y	y	NOUN
ap-5826	91	9	)	)	PUNCT
ap-5826	91	10	=	=	SYM
ap-5826	91	11	h(x	h(x	PROPN
ap-5826	91	12	,	,	PUNCT
ap-5826	91	13	y	y	NOUN
ap-5826	91	14	)	)	PUNCT
ap-5826	91	15	−h	−h	VERB
ap-5826	91	16	(	(	PUNCT
ap-5826	91	17	i	i	NOUN
ap-5826	91	18	)	)	PUNCT
ap-5826	91	19	(	(	PUNCT
ap-5826	91	20	x	x	X
ap-5826	91	21	,	,	PUNCT
ap-5826	91	22	y	y	NOUN
ap-5826	91	23	)	)	PUNCT
ap-5826	91	24	refers	refer	VERB
ap-5826	91	25	to	to	ADP
ap-5826	91	26	the	the	DET
ap-5826	91	27	difference	difference	NOUN
ap-5826	91	28	between	between	ADP
ap-5826	91	29	the	the	DET
ap-5826	91	30	information	information	NOUN
ap-5826	91	31	content	content	NOUN
ap-5826	91	32	of	of	ADP
ap-5826	91	33	these	these	DET
ap-5826	91	34	two	two	NUM
ap-5826	91	35	crosses	crosse	NOUN
ap-5826	91	36	.	.	PUNCT
ap-5826	92	1	recall	recall	VERB
ap-5826	92	2	again	again	ADV
ap-5826	92	3	that	that	SCONJ
ap-5826	92	4	the	the	DET
ap-5826	92	5	difference	difference	NOUN
ap-5826	92	6	γ(i	γ(i	NOUN
ap-5826	92	7	)	)	PUNCT
ap-5826	92	8	(	(	PUNCT
ap-5826	92	9	x	x	X
ap-5826	92	10	,	,	PUNCT
ap-5826	92	11	y	y	NOUN
ap-5826	92	12	)	)	PUNCT
ap-5826	92	13	is	be	AUX
ap-5826	92	14	a	a	DET
ap-5826	92	15	small	small	ADJ
ap-5826	92	16	number	number	NOUN
ap-5826	92	17	and	and	CCONJ
ap-5826	92	18	represents	represent	VERB
ap-5826	92	19	either	either	CCONJ
ap-5826	92	20	the	the	DET
ap-5826	92	21	entropy	entropy	PROPN
ap-5826	92	22	contribution	contribution	NOUN
ap-5826	92	23	of	of	ADP
ap-5826	92	24	pixel	pixel	PROPN
ap-5826	92	25	φ(x	φ(x	PROPN
ap-5826	92	26	,	,	PUNCT
ap-5826	92	27	y	y	NOUN
ap-5826	92	28	)	)	PUNCT
ap-5826	92	29	or	or	CCONJ
ap-5826	92	30	the	the	DET
ap-5826	92	31	contribution	contribution	NOUN
ap-5826	92	32	of	of	ADP
ap-5826	92	33	the	the	DET
ap-5826	92	34	value	value	NOUN
ap-5826	92	35	of	of	ADP
ap-5826	92	36	pixel	pixel	PROPN
ap-5826	92	37	φ(x	φ(x	PROPN
ap-5826	92	38	,	,	PUNCT
ap-5826	92	39	y	y	NOUN
ap-5826	92	40	)	)	PUNCT
ap-5826	92	41	to	to	ADP
ap-5826	92	42	the	the	DET
ap-5826	92	43	cross	cross	NOUN
ap-5826	92	44	.	.	PUNCT
ap-5826	93	1	both	both	DET
ap-5826	93	2	(	(	PUNCT
ap-5826	93	3	whole	whole	ADJ
ap-5826	93	4	and	and	CCONJ
ap-5826	93	5	cross	cross	ADJ
ap-5826	93	6	)	)	PUNCT
ap-5826	93	7	pig	pig	NOUN
ap-5826	93	8	can	can	AUX
ap-5826	93	9	be	be	AUX
ap-5826	93	10	considered	consider	VERB
ap-5826	93	11	as	as	ADP
ap-5826	93	12	special	special	ADJ
ap-5826	93	13	cases	case	NOUN
ap-5826	93	14	of	of	ADP
ap-5826	93	15	the	the	DET
ap-5826	93	16	kullback	kullback	NOUN
ap-5826	93	17	-	-	PUNCT
ap-5826	93	18	leibler	leibler	NOUN
ap-5826	93	19	divergence	divergence	NOUN
ap-5826	93	20	[	[	X
ap-5826	93	21	29	29	NUM
ap-5826	93	22	]	]	PUNCT
ap-5826	93	23	of	of	ADP
ap-5826	93	24	two	two	NUM
ap-5826	93	25	distributions	distribution	NOUN
ap-5826	93	26	:	:	PUNCT
ap-5826	93	27	one	one	NUM
ap-5826	93	28	distribution	distribution	NOUN
ap-5826	93	29	is	be	AUX
ap-5826	93	30	formed	form	VERB
ap-5826	93	31	from	from	ADP
ap-5826	93	32	the	the	DET
ap-5826	93	33	neighbourhood	neighbourhood	NOUN
ap-5826	93	34	of	of	ADP
ap-5826	93	35	the	the	DET
ap-5826	93	36	investigated	investigated	ADJ
ap-5826	93	37	pixel	pixel	NOUN
ap-5826	93	38	including	include	VERB
ap-5826	93	39	this	this	DET
ap-5826	93	40	pixel	pixel	NOUN
ap-5826	93	41	,	,	PUNCT
ap-5826	93	42	while	while	SCONJ
ap-5826	93	43	the	the	DET
ap-5826	93	44	second	second	ADJ
ap-5826	93	45	distribution	distribution	NOUN
ap-5826	93	46	is	be	AUX
ap-5826	93	47	formed	form	VERB
ap-5826	93	48	from	from	ADP
ap-5826	93	49	the	the	DET
ap-5826	93	50	same	same	ADJ
ap-5826	93	51	neighbourhood	neighbourhood	NOUN
ap-5826	93	52	but	but	CCONJ
ap-5826	93	53	without	without	ADP
ap-5826	93	54	this	this	DET
ap-5826	93	55	pixel	pixel	NOUN
ap-5826	93	56	.	.	PUNCT
ap-5826	94	1	the	the	DET
ap-5826	94	2	whole	whole	ADJ
ap-5826	94	3	approach	approach	NOUN
ap-5826	94	4	considers	consider	VERB
ap-5826	94	5	the	the	DET
ap-5826	94	6	whole	whole	ADJ
ap-5826	94	7	image	image	NOUN
ap-5826	94	8	as	as	ADP
ap-5826	94	9	the	the	DET
ap-5826	94	10	neighbourhood	neighbourhood	NOUN
ap-5826	94	11	,	,	PUNCT
ap-5826	94	12	while	while	SCONJ
ap-5826	94	13	the	the	DET
ap-5826	94	14	cross	cross	NOUN
ap-5826	94	15	approach	approach	NOUN
ap-5826	94	16	considers	consider	VERB
ap-5826	94	17	the	the	DET
ap-5826	94	18	designed	design	VERB
ap-5826	94	19	cross	cross	NOUN
ap-5826	94	20	with	with	ADP
ap-5826	94	21	the	the	DET
ap-5826	94	22	investigated	investigate	VERB
ap-5826	94	23	pixel	pixel	NOUN
ap-5826	94	24	in	in	ADP
ap-5826	94	25	the	the	DET
ap-5826	94	26	center	center	NOUN
ap-5826	94	27	.	.	PUNCT
ap-5826	95	1	thus	thus	ADV
ap-5826	95	2	,	,	PUNCT
ap-5826	95	3	the	the	DET
ap-5826	95	4	novelty	novelty	NOUN
ap-5826	95	5	of	of	ADP
ap-5826	95	6	the	the	DET
ap-5826	95	7	pig	pig	NOUN
ap-5826	95	8	approach	approach	NOUN
ap-5826	95	9	lies	lie	VERB
ap-5826	95	10	in	in	ADP
ap-5826	95	11	the	the	DET
ap-5826	95	12	practical	practical	ADJ
ap-5826	95	13	definition	definition	NOUN
ap-5826	95	14	of	of	ADP
ap-5826	95	15	the	the	DET
ap-5826	95	16	investigated	investigate	VERB
ap-5826	95	17	normalized	normalize	VERB
ap-5826	95	18	distributions	distribution	NOUN
ap-5826	95	19	.	.	PUNCT
ap-5826	96	1	4	4	X
ap-5826	96	2	.	.	X
ap-5826	96	3	optimization	optimization	NOUN
ap-5826	96	4	of	of	ADP
ap-5826	96	5	the	the	DET
ap-5826	96	6	algorithm	algorithm	NOUN
ap-5826	96	7	4.1	4.1	NUM
ap-5826	96	8	.	.	PUNCT
ap-5826	97	1	point	point	NOUN
ap-5826	97	2	information	information	NOUN
ap-5826	97	3	gain	gain	NOUN
ap-5826	97	4	for	for	ADP
ap-5826	97	5	the	the	DET
ap-5826	97	6	whole	whole	ADJ
ap-5826	97	7	image	image	NOUN
ap-5826	97	8	the	the	DET
ap-5826	97	9	γ(i	γ(i	NOUN
ap-5826	97	10	)	)	PUNCT
ap-5826	97	11	values	value	NOUN
ap-5826	97	12	for	for	ADP
ap-5826	97	13	the	the	DET
ap-5826	97	14	whole	whole	ADJ
ap-5826	97	15	image	image	NOUN
ap-5826	97	16	does	do	AUX
ap-5826	97	17	not	not	PART
ap-5826	97	18	need	need	VERB
ap-5826	97	19	to	to	PART
ap-5826	97	20	be	be	AUX
ap-5826	97	21	computed	compute	VERB
ap-5826	97	22	for	for	ADP
ap-5826	97	23	each	each	DET
ap-5826	97	24	pixel	pixel	NOUN
ap-5826	97	25	repeatedly	repeatedly	ADV
ap-5826	97	26	.	.	PUNCT
ap-5826	98	1	the	the	DET
ap-5826	98	2	value	value	NOUN
ap-5826	98	3	of	of	ADP
ap-5826	98	4	the	the	DET
ap-5826	98	5	total	total	ADJ
ap-5826	98	6	entropy	entropy	NOUN
ap-5826	98	7	h	h	PROPN
ap-5826	98	8	remains	remain	VERB
ap-5826	98	9	the	the	DET
ap-5826	98	10	same	same	ADJ
ap-5826	98	11	through	through	ADP
ap-5826	98	12	the	the	DET
ap-5826	98	13	whole	whole	ADJ
ap-5826	98	14	image	image	NOUN
ap-5826	98	15	and	and	CCONJ
ap-5826	98	16	the	the	DET
ap-5826	98	17	value	value	NOUN
ap-5826	98	18	of	of	ADP
ap-5826	98	19	the	the	DET
ap-5826	98	20	entropy	entropy	PROPN
ap-5826	98	21	h	h	PROPN
ap-5826	98	22	(	(	PUNCT
ap-5826	98	23	i	i	NOUN
ap-5826	98	24	)	)	PUNCT
ap-5826	98	25	is	be	AUX
ap-5826	98	26	the	the	DET
ap-5826	98	27	same	same	ADJ
ap-5826	98	28	for	for	ADP
ap-5826	98	29	all	all	DET
ap-5826	98	30	pixels	pixel	NOUN
ap-5826	98	31	φ(x	φ(x	PROPN
ap-5826	98	32	,	,	PUNCT
ap-5826	98	33	y	y	NOUN
ap-5826	98	34	)	)	PUNCT
ap-5826	98	35	with	with	ADP
ap-5826	98	36	the	the	DET
ap-5826	98	37	same	same	ADJ
ap-5826	98	38	intensity	intensity	NOUN
ap-5826	98	39	j	j	PROPN
ap-5826	98	40	=	=	PROPN
ap-5826	98	41	i.	i.	PROPN
ap-5826	98	42	the	the	DET
ap-5826	98	43	algorithm	algorithm	NOUN
ap-5826	98	44	was	be	AUX
ap-5826	98	45	optimized	optimize	VERB
ap-5826	98	46	by	by	ADP
ap-5826	98	47	the	the	DET
ap-5826	98	48	modification	modification	NOUN
ap-5826	98	49	of	of	ADP
ap-5826	98	50	the	the	DET
ap-5826	98	51	relevant	relevant	ADJ
ap-5826	98	52	equations	equation	NOUN
ap-5826	98	53	as	as	SCONJ
ap-5826	98	54	follows	follow	VERB
ap-5826	98	55	:	:	PUNCT
ap-5826	98	56	the	the	DET
ap-5826	98	57	histogram	histogram	NOUN
ap-5826	98	58	n	n	X
ap-5826	98	59	=	=	SYM
ap-5826	98	60	[	[	X
ap-5826	98	61	n0	n0	ADJ
ap-5826	98	62	,	,	PUNCT
ap-5826	98	63	n1	n1	NOUN
ap-5826	98	64	,	,	PUNCT
ap-5826	98	65	.	.	PUNCT
ap-5826	98	66	.	.	PUNCT
ap-5826	98	67	.	.	PUNCT
ap-5826	99	1	n2d−1	n2d−1	NOUN
ap-5826	99	2	]	]	PUNCT
ap-5826	99	3	for	for	SCONJ
ap-5826	99	4	the	the	DET
ap-5826	99	5	whole	whole	ADJ
ap-5826	99	6	image	image	NOUN
ap-5826	99	7	was	be	AUX
ap-5826	99	8	redefined	redefine	VERB
ap-5826	99	9	to	to	ADP
ap-5826	99	10	nj	nj	PROPN
ap-5826	99	11	=	=	PUNCT
ap-5826	99	12	||{∀(x	||{∀(x	PROPN
ap-5826	99	13	,	,	PUNCT
ap-5826	99	14	y	y	NOUN
ap-5826	99	15	)	)	PUNCT
ap-5826	99	16	:	:	PUNCT
ap-5826	100	1	φ(x	φ(x	PROPN
ap-5826	100	2	,	,	PUNCT
ap-5826	100	3	y	y	NOUN
ap-5826	100	4	)	)	PUNCT
ap-5826	100	5	=	=	SYM
ap-5826	101	1	j	j	PROPN
ap-5826	101	2	∧	∧	PROPN
ap-5826	101	3	x	x	SYM
ap-5826	101	4	∈	∈	PROPN
ap-5826	101	5	{	{	PUNCT
ap-5826	101	6	1	1	NUM
ap-5826	101	7	,	,	PUNCT
ap-5826	101	8	2	2	NUM
ap-5826	101	9	,	,	PUNCT
ap-5826	101	10	.	.	PUNCT
ap-5826	101	11	.	.	PUNCT
ap-5826	101	12	.	.	PUNCT
ap-5826	102	1	,	,	PUNCT
ap-5826	102	2	h	h	NOUN
ap-5826	102	3	}	}	PUNCT
ap-5826	102	4	∧y	∧y	NOUN
ap-5826	102	5	∈	∈	NOUN
ap-5826	102	6	{	{	PUNCT
ap-5826	102	7	1	1	NUM
ap-5826	102	8	,	,	PUNCT
ap-5826	102	9	2	2	NUM
ap-5826	102	10	,	,	PUNCT
ap-5826	102	11	.	.	PUNCT
ap-5826	102	12	.	.	PUNCT
ap-5826	103	1	.	.	PUNCT
ap-5826	104	1	,	,	PUNCT
ap-5826	104	2	w}}||	w}}||	NOUN
ap-5826	104	3	;	;	PUNCT
ap-5826	104	4	j	j	PROPN
ap-5826	104	5	=	=	PUNCT
ap-5826	105	1	[	[	X
ap-5826	105	2	0	0	NUM
ap-5826	105	3	,	,	PUNCT
ap-5826	105	4	1	1	NUM
ap-5826	105	5	,	,	PUNCT
ap-5826	105	6	.	.	PUNCT
ap-5826	105	7	.	.	PUNCT
ap-5826	106	1	.	.	PUNCT
ap-5826	107	1	,	,	PUNCT
ap-5826	107	2	i	i	PRON
ap-5826	107	3	,	,	PUNCT
ap-5826	107	4	.	.	PUNCT
ap-5826	107	5	.	.	PUNCT
ap-5826	107	6	.	.	PUNCT
ap-5826	108	1	,	,	PUNCT
ap-5826	108	2	2d	2d	NOUN
ap-5826	108	3	−	−	NOUN
ap-5826	108	4	1	1	NUM
ap-5826	108	5	]	]	PUNCT
ap-5826	108	6	.	.	PUNCT
ap-5826	109	1	the	the	DET
ap-5826	109	2	entropy	entropy	PROPN
ap-5826	109	3	h	h	PROPN
ap-5826	109	4	can	can	AUX
ap-5826	109	5	be	be	AUX
ap-5826	109	6	subsequently	subsequently	ADV
ap-5826	109	7	explained	explain	VERB
ap-5826	109	8	as	as	ADP
ap-5826	109	9	h	h	NOUN
ap-5826	109	10	=	=	SYM
ap-5826	109	11	−	−	PROPN
ap-5826	109	12	2d−1∑	2d−1∑	PROPN
ap-5826	109	13	j=0	j=0	PROPN
ap-5826	109	14	pj	pj	PROPN
ap-5826	109	15	ln(pj	ln(pj	PROPN
ap-5826	109	16	)	)	PUNCT
ap-5826	109	17	,	,	PUNCT
ap-5826	109	18	h	h	NOUN
ap-5826	109	19	=	=	SYM
ap-5826	110	1	−	−	PROPN
ap-5826	110	2	2d−1∑	2d−1∑	PROPN
ap-5826	110	3	j=0	j=0	PROPN
ap-5826	110	4	nj	nj	PROPN
ap-5826	110	5	wh	wh	AUX
ap-5826	110	6	ln	ln	PROPN
ap-5826	111	1	(	(	PUNCT
ap-5826	111	2	nj	nj	INTJ
ap-5826	111	3	wh	wh	PROPN
ap-5826	111	4	)	)	PUNCT
ap-5826	111	5	,	,	PUNCT
ap-5826	111	6	h	h	NOUN
ap-5826	112	1	=	=	SYM
ap-5826	112	2	−	−	PROPN
ap-5826	112	3	2d−1∑	2d−1∑	PROPN
ap-5826	112	4	j=0	j=0	PROPN
ap-5826	112	5	nj	nj	PROPN
ap-5826	112	6	wh	wh	VERB
ap-5826	112	7	[	[	X
ap-5826	112	8	ln(nj)−	ln(nj)−	PROPN
ap-5826	112	9	ln(wh	ln(wh	PROPN
ap-5826	112	10	)	)	PUNCT
ap-5826	112	11	]	]	PUNCT
ap-5826	112	12	,	,	PUNCT
ap-5826	112	13	h	h	NOUN
ap-5826	112	14	=	=	SYM
ap-5826	112	15	ln(wh	ln(wh	NOUN
ap-5826	112	16	)	)	PUNCT
ap-5826	112	17	wh	wh	VERB
ap-5826	112	18	2d−1∑	2d−1∑	NUM
ap-5826	112	19	j=0	j=0	PROPN
ap-5826	112	20	nj︸	nj︸	PROPN
ap-5826	112	21	︷︷	︷︷	PROPN
ap-5826	112	22	︸	︸	PRON
ap-5826	112	23	w	w	PROPN
ap-5826	112	24	h	h	NOUN
ap-5826	112	25	−	−	PROPN
ap-5826	112	26	1	1	NUM
ap-5826	112	27	wh	wh	NOUN
ap-5826	112	28	2d−1∑	2d−1∑	NUM
ap-5826	112	29	j=0	j=0	PROPN
ap-5826	112	30	nj	nj	PROPN
ap-5826	112	31	ln(nj	ln(nj	PROPN
ap-5826	112	32	)	)	PUNCT
ap-5826	112	33	,	,	PUNCT
ap-5826	112	34	h	h	NOUN
ap-5826	113	1	=	=	PUNCT
ap-5826	113	2	ln(wh)−	ln(wh)−	NUM
ap-5826	113	3	1	1	NUM
ap-5826	113	4	wh	wh	NOUN
ap-5826	113	5	2d−1∑	2d−1∑	NUM
ap-5826	113	6	j=0	j=0	PROPN
ap-5826	113	7	nj	nj	PROPN
ap-5826	113	8	ln(nj	ln(nj	PROPN
ap-5826	113	9	)	)	PUNCT
ap-5826	113	10	.	.	PUNCT
ap-5826	114	1	(	(	PUNCT
ap-5826	114	2	10	10	NUM
ap-5826	114	3	)	)	PUNCT
ap-5826	114	4	the	the	DET
ap-5826	114	5	function	function	NOUN
ap-5826	114	6	h	h	NOUN
ap-5826	114	7	(	(	PUNCT
ap-5826	114	8	i	i	NOUN
ap-5826	114	9	)	)	PUNCT
ap-5826	114	10	which	which	PRON
ap-5826	114	11	explains	explain	VERB
ap-5826	114	12	the	the	DET
ap-5826	114	13	entropy	entropy	NOUN
ap-5826	114	14	of	of	ADP
ap-5826	114	15	the	the	DET
ap-5826	114	16	modified	modify	VERB
ap-5826	114	17	image	image	NOUN
ap-5826	114	18	with	with	ADP
ap-5826	114	19	the	the	DET
ap-5826	114	20	omitted	omit	VERB
ap-5826	114	21	investigated	investigate	VERB
ap-5826	114	22	pixel	pixel	PROPN
ap-5826	114	23	φ(x	φ(x	PROPN
ap-5826	114	24	,	,	PUNCT
ap-5826	114	25	y	y	NOUN
ap-5826	114	26	)	)	PUNCT
ap-5826	114	27	was	be	AUX
ap-5826	114	28	reformulated	reformulate	VERB
ap-5826	114	29	as	as	ADP
ap-5826	114	30	h	h	NOUN
ap-5826	114	31	(	(	PUNCT
ap-5826	114	32	i	i	NOUN
ap-5826	114	33	)	)	PUNCT
ap-5826	115	1	=	=	SYM
ap-5826	115	2	−	−	PROPN
ap-5826	115	3	2d−1∑	2d−1∑	NUM
ap-5826	115	4	j=0	j=0	PROPN
ap-5826	115	5	p	p	PROPN
ap-5826	115	6	(	(	PUNCT
ap-5826	115	7	i	i	NOUN
ap-5826	115	8	)	)	PUNCT
ap-5826	115	9	j	j	PROPN
ap-5826	115	10	ln(p(i	ln(p(i	NUM
ap-5826	115	11	)	)	PUNCT
ap-5826	115	12	j	j	PROPN
ap-5826	115	13	)	)	PUNCT
ap-5826	115	14	,	,	PUNCT
ap-5826	115	15	h	h	NOUN
ap-5826	115	16	(	(	PUNCT
ap-5826	115	17	i	i	NOUN
ap-5826	115	18	)	)	PUNCT
ap-5826	115	19	=	=	SYM
ap-5826	116	1	−	−	PROPN
ap-5826	116	2	2d−1∑	2d−1∑	NUM
ap-5826	116	3	j=0	j=0	PROPN
ap-5826	116	4	n	n	PROPN
ap-5826	116	5	(	(	PUNCT
ap-5826	116	6	i	i	NOUN
ap-5826	116	7	)	)	PUNCT
ap-5826	117	1	j	j	PROPN
ap-5826	117	2	wh	wh	VERB
ap-5826	117	3	−	−	NOUN
ap-5826	117	4	1	1	NUM
ap-5826	118	1	ln	ln	NOUN
ap-5826	118	2	(	(	PUNCT
ap-5826	118	3	n	n	PROPN
ap-5826	118	4	(	(	PUNCT
ap-5826	118	5	i	i	NOUN
ap-5826	118	6	)	)	PUNCT
ap-5826	119	1	j	j	PROPN
ap-5826	119	2	wh	wh	VERB
ap-5826	119	3	−	−	NOUN
ap-5826	119	4	1	1	NUM
ap-5826	119	5	)	)	PUNCT
ap-5826	119	6	,	,	PUNCT
ap-5826	119	7	h	h	NOUN
ap-5826	119	8	(	(	PUNCT
ap-5826	119	9	i	i	NOUN
ap-5826	119	10	)	)	PUNCT
ap-5826	120	1	=	=	SYM
ap-5826	121	1	−	−	PROPN
ap-5826	121	2	2d−1∑	2d−1∑	NUM
ap-5826	121	3	j=0	j=0	PROPN
ap-5826	121	4	n	n	PROPN
ap-5826	121	5	(	(	PUNCT
ap-5826	121	6	i	i	NOUN
ap-5826	121	7	)	)	PUNCT
ap-5826	122	1	j	j	PROPN
ap-5826	122	2	wh	wh	NOUN
ap-5826	122	3	−	−	NOUN
ap-5826	122	4	1	1	NUM
ap-5826	122	5	[	[	X
ap-5826	122	6	ln(n(i	ln(n(i	X
ap-5826	122	7	)	)	PUNCT
ap-5826	122	8	j	j	NOUN
ap-5826	122	9	)	)	PUNCT
ap-5826	122	10	−	−	PROPN
ap-5826	123	1	ln(wh	ln(wh	NOUN
ap-5826	123	2	−	−	PROPN
ap-5826	123	3	1	1	NUM
ap-5826	123	4	)	)	PUNCT
ap-5826	123	5	]	]	PUNCT
ap-5826	123	6	,	,	PUNCT
ap-5826	123	7	h	h	PROPN
ap-5826	123	8	(	(	PUNCT
ap-5826	123	9	i	i	NOUN
ap-5826	123	10	)	)	PUNCT
ap-5826	123	11	=	=	PUNCT
ap-5826	124	1	ln(wh	ln(wh	NOUN
ap-5826	124	2	−	−	NOUN
ap-5826	124	3	1	1	X
ap-5826	124	4	)	)	PUNCT
ap-5826	124	5	wh	wh	VERB
ap-5826	124	6	−	−	NOUN
ap-5826	124	7	1	1	NUM
ap-5826	124	8	2d−1∑	2d−1∑	PROPN
ap-5826	124	9	j=0	j=0	PROPN
ap-5826	124	10	n	n	PROPN
ap-5826	124	11	(	(	PUNCT
ap-5826	124	12	i	i	NOUN
ap-5826	124	13	)	)	PUNCT
ap-5826	124	14	j︸	j︸	ADV
ap-5826	124	15	︷︷	︷︷	VERB
ap-5826	124	16	︸	︸	X
ap-5826	124	17	w	w	PROPN
ap-5826	124	18	h−1	h−1	PROPN
ap-5826	124	19	−	−	PROPN
ap-5826	124	20	∑2d−1	∑2d−1	PUNCT
ap-5826	124	21	j=0	j=0	PROPN
ap-5826	124	22	n	n	PROPN
ap-5826	124	23	(	(	PUNCT
ap-5826	124	24	i	i	PROPN
ap-5826	124	25	)	)	PUNCT
ap-5826	124	26	j	j	PROPN
ap-5826	124	27	ln(n(i	ln(n(i	PROPN
ap-5826	124	28	)	)	PUNCT
ap-5826	124	29	j	j	NOUN
ap-5826	124	30	)	)	PUNCT
ap-5826	124	31	wh	wh	VERB
ap-5826	124	32	−	−	NOUN
ap-5826	124	33	1	1	NUM
ap-5826	124	34	,	,	PUNCT
ap-5826	125	1	h	h	NOUN
ap-5826	125	2	(	(	PUNCT
ap-5826	125	3	i	i	NOUN
ap-5826	125	4	)	)	PUNCT
ap-5826	125	5	=	=	PUNCT
ap-5826	126	1	ln(wh	ln(wh	NOUN
ap-5826	126	2	−	−	PROPN
ap-5826	126	3	1)−	1)−	PROPN
ap-5826	126	4	∑2d−1	∑2d−1	PUNCT
ap-5826	126	5	j=0	j=0	PROPN
ap-5826	126	6	n	n	PROPN
ap-5826	126	7	(	(	PUNCT
ap-5826	126	8	i	i	PROPN
ap-5826	126	9	)	)	PUNCT
ap-5826	126	10	j	j	PROPN
ap-5826	126	11	ln(n(i	ln(n(i	PROPN
ap-5826	126	12	)	)	PUNCT
ap-5826	126	13	j	j	NOUN
ap-5826	126	14	)	)	PUNCT
ap-5826	126	15	wh	wh	VERB
ap-5826	126	16	−	−	NOUN
ap-5826	126	17	1	1	NUM
ap-5826	126	18	.	.	PUNCT
ap-5826	127	1	(	(	PUNCT
ap-5826	127	2	11	11	NUM
ap-5826	127	3	)	)	PUNCT
ap-5826	127	4	the	the	DET
ap-5826	127	5	histogram	histogram	NOUN
ap-5826	127	6	n(i	n(i	PROPN
ap-5826	127	7	)	)	PUNCT
ap-5826	127	8	is	be	AUX
ap-5826	127	9	then	then	ADV
ap-5826	127	10	defined	define	VERB
ap-5826	127	11	as	as	ADP
ap-5826	127	12	n	n	PROPN
ap-5826	127	13	(	(	PUNCT
ap-5826	127	14	i	i	NOUN
ap-5826	127	15	)	)	PUNCT
ap-5826	127	16	j	j	PROPN
ap-5826	128	1	=	=	PRON
ap-5826	128	2	{	{	PUNCT
ap-5826	128	3	nj	nj	PROPN
ap-5826	128	4	j	j	PROPN
ap-5826	128	5	6=	6=	PROPN
ap-5826	129	1	i	i	PRON
ap-5826	129	2	nj	nj	VERB
ap-5826	130	1	−	−	NUM
ap-5826	130	2	1	1	NUM
ap-5826	130	3	j	j	PROPN
ap-5826	130	4	=	=	SYM
ap-5826	130	5	i	i	PROPN
ap-5826	130	6	,	,	PUNCT
ap-5826	130	7	j	j	PROPN
ap-5826	130	8	=	=	PUNCT
ap-5826	131	1	[	[	X
ap-5826	131	2	0	0	NUM
ap-5826	131	3	,	,	PUNCT
ap-5826	131	4	1	1	NUM
ap-5826	131	5	,	,	PUNCT
ap-5826	131	6	.	.	PUNCT
ap-5826	131	7	.	.	PUNCT
ap-5826	132	1	.	.	PUNCT
ap-5826	133	1	,	,	PUNCT
ap-5826	133	2	2d	2d	NOUN
ap-5826	133	3	−	−	NOUN
ap-5826	133	4	1	1	NUM
ap-5826	133	5	]	]	PUNCT
ap-5826	133	6	.	.	PUNCT
ap-5826	134	1	the	the	DET
ap-5826	134	2	first	first	ADJ
ap-5826	134	3	optimization	optimization	NOUN
ap-5826	134	4	was	be	AUX
ap-5826	134	5	performed	perform	VERB
ap-5826	134	6	as	as	ADP
ap-5826	134	7	n(i	n(i	PROPN
ap-5826	134	8	)	)	PUNCT
ap-5826	134	9	⇔h	⇔h	NOUN
ap-5826	134	10	(	(	PUNCT
ap-5826	134	11	i	i	NOUN
ap-5826	134	12	)	)	PUNCT
ap-5826	134	13	⇔	⇔	PROPN
ap-5826	134	14	φ(x	φ(x	PROPN
ap-5826	134	15	,	,	PUNCT
ap-5826	134	16	y	y	NOUN
ap-5826	134	17	)	)	PUNCT
ap-5826	135	1	=	=	VERB
ap-5826	135	2	i	i	NOUN
ap-5826	135	3	;	;	PUNCT
ap-5826	135	4	x	x	SYM
ap-5826	135	5	∈	∈	NOUN
ap-5826	135	6	{	{	PUNCT
ap-5826	135	7	1	1	NUM
ap-5826	135	8	,	,	PUNCT
ap-5826	135	9	2	2	NUM
ap-5826	135	10	,	,	PUNCT
ap-5826	135	11	.	.	PUNCT
ap-5826	135	12	.	.	PUNCT
ap-5826	135	13	.	.	PUNCT
ap-5826	136	1	,	,	PUNCT
ap-5826	136	2	h	h	NOUN
ap-5826	136	3	}	}	PUNCT
ap-5826	136	4	;	;	PUNCT
ap-5826	136	5	y	y	PROPN
ap-5826	136	6	∈	∈	PROPN
ap-5826	136	7	{	{	PUNCT
ap-5826	136	8	1	1	NUM
ap-5826	136	9	,	,	PUNCT
ap-5826	136	10	2	2	NUM
ap-5826	136	11	,	,	PUNCT
ap-5826	136	12	.	.	PUNCT
ap-5826	136	13	.	.	PUNCT
ap-5826	136	14	.	.	PUNCT
ap-5826	137	1	,	,	PUNCT
ap-5826	137	2	w	w	X
ap-5826	137	3	}	}	PUNCT
ap-5826	137	4	;	;	PUNCT
ap-5826	137	5	i	i	PRON
ap-5826	137	6	∈	∈	PROPN
ap-5826	137	7	{	{	PUNCT
ap-5826	137	8	0	0	NUM
ap-5826	137	9	,	,	PUNCT
ap-5826	137	10	1	1	NUM
ap-5826	137	11	,	,	PUNCT
ap-5826	137	12	.	.	PUNCT
ap-5826	137	13	.	.	PUNCT
ap-5826	138	1	.	.	PUNCT
ap-5826	139	1	,	,	PUNCT
ap-5826	139	2	2d	2d	NOUN
ap-5826	139	3	−	−	NOUN
ap-5826	139	4	1	1	NUM
ap-5826	139	5	}	}	PUNCT
ap-5826	139	6	.	.	PUNCT
ap-5826	140	1	595	595	NUM
ap-5826	140	2	j.	j.	PROPN
ap-5826	140	3	urban	urban	PROPN
ap-5826	140	4	,	,	PUNCT
ap-5826	140	5	r.	r.	PROPN
ap-5826	140	6	rychtáriková	rychtáriková	PROPN
ap-5826	140	7	,	,	PUNCT
ap-5826	140	8	p.	p.	PROPN
ap-5826	140	9	macháček	macháček	PROPN
ap-5826	140	10	et	et	PROPN
ap-5826	140	11	al	al	PROPN
ap-5826	140	12	.	.	PROPN
ap-5826	140	13	acta	acta	PROPN
ap-5826	140	14	polytechnica	polytechnica	PROPN
ap-5826	140	15	figure	figure	NOUN
ap-5826	140	16	1	1	NUM
ap-5826	140	17	.	.	PUNCT
ap-5826	140	18	image	image	NOUN
ap-5826	140	19	of	of	ADP
ap-5826	140	20	the	the	DET
ap-5826	140	21	size	size	NOUN
ap-5826	140	22	of	of	ADP
ap-5826	140	23	[	[	X
ap-5826	140	24	h	h	NOUN
ap-5826	140	25	×	×	NOUN
ap-5826	140	26	w	w	X
ap-5826	140	27	]	]	PUNCT
ap-5826	140	28	with	with	ADP
ap-5826	140	29	the	the	DET
ap-5826	140	30	intensity	intensity	NOUN
ap-5826	140	31	levels	level	NOUN
ap-5826	140	32	of	of	ADP
ap-5826	140	33	d	d	PROPN
ap-5826	140	34	bits	bit	NOUN
ap-5826	140	35	.	.	PUNCT
ap-5826	141	1	from	from	ADP
ap-5826	141	2	this	this	DET
ap-5826	141	3	optimization	optimization	NOUN
ap-5826	141	4	as	as	ADV
ap-5826	141	5	well	well	ADV
ap-5826	141	6	as	as	ADP
ap-5826	141	7	eq.(7	eq.(7	VERB
ap-5826	141	8	)	)	PUNCT
ap-5826	141	9	follows	follow	VERB
ap-5826	141	10	directly	directly	ADV
ap-5826	141	11	that	that	SCONJ
ap-5826	141	12	the	the	DET
ap-5826	141	13	entropy	entropy	PROPN
ap-5826	141	14	h	h	PROPN
ap-5826	141	15	(	(	PUNCT
ap-5826	141	16	i	i	NOUN
ap-5826	141	17	)	)	PUNCT
ap-5826	141	18	is	be	AUX
ap-5826	141	19	dependent	dependent	ADJ
ap-5826	141	20	only	only	ADV
ap-5826	141	21	on	on	ADP
ap-5826	141	22	the	the	DET
ap-5826	141	23	intensity	intensity	NOUN
ap-5826	141	24	i	i	PRON
ap-5826	141	25	of	of	ADP
ap-5826	141	26	the	the	DET
ap-5826	141	27	pixel	pixel	PROPN
ap-5826	141	28	φ(x	φ(x	PROPN
ap-5826	141	29	,	,	PUNCT
ap-5826	141	30	y	y	NOUN
ap-5826	141	31	)	)	PUNCT
ap-5826	141	32	and	and	CCONJ
ap-5826	141	33	not	not	PART
ap-5826	141	34	on	on	ADP
ap-5826	141	35	the	the	DET
ap-5826	141	36	pixel	pixel	PROPN
ap-5826	141	37	’s	’s	PART
ap-5826	141	38	position	position	NOUN
ap-5826	141	39	(	(	PUNCT
ap-5826	141	40	x	x	NOUN
ap-5826	141	41	,	,	PUNCT
ap-5826	141	42	y	y	NOUN
ap-5826	141	43	)	)	PUNCT
ap-5826	141	44	in	in	ADP
ap-5826	141	45	the	the	DET
ap-5826	141	46	image	image	NOUN
ap-5826	141	47	.	.	PUNCT
ap-5826	142	1	then	then	ADV
ap-5826	142	2	,	,	PUNCT
ap-5826	142	3	the	the	DET
ap-5826	142	4	entropy	entropy	PROPN
ap-5826	142	5	h	h	PROPN
ap-5826	142	6	(	(	PUNCT
ap-5826	142	7	i	i	NOUN
ap-5826	142	8	)	)	PUNCT
ap-5826	142	9	can	can	AUX
ap-5826	142	10	be	be	AUX
ap-5826	142	11	redefined	redefine	VERB
ap-5826	142	12	as	as	ADP
ap-5826	142	13	h	h	NOUN
ap-5826	142	14	(	(	PUNCT
ap-5826	142	15	i	i	NOUN
ap-5826	142	16	)	)	PUNCT
ap-5826	143	1	=	=	SYM
ap-5826	144	1	(	(	PUNCT
ap-5826	144	2	h	h	PROPN
ap-5826	144	3	(	(	PUNCT
ap-5826	144	4	i)|φ(x	i)|φ(x	PROPN
ap-5826	144	5	,	,	PUNCT
ap-5826	144	6	y	y	NOUN
ap-5826	144	7	)	)	PUNCT
ap-5826	144	8	=	=	SYM
ap-5826	145	1	i	i	PROPN
ap-5826	145	2	)	)	PUNCT
ap-5826	145	3	;	;	PUNCT
ap-5826	146	1	i	i	PRON
ap-5826	146	2	=	=	PUNCT
ap-5826	147	1	[	[	X
ap-5826	147	2	0	0	NUM
ap-5826	147	3	,	,	PUNCT
ap-5826	147	4	1	1	NUM
ap-5826	147	5	,	,	PUNCT
ap-5826	147	6	.	.	PUNCT
ap-5826	147	7	.	.	PUNCT
ap-5826	148	1	.	.	PUNCT
ap-5826	149	1	,	,	PUNCT
ap-5826	149	2	2d	2d	NOUN
ap-5826	149	3	−	−	NOUN
ap-5826	149	4	1	1	NUM
ap-5826	149	5	]	]	PUNCT
ap-5826	149	6	.	.	PUNCT
ap-5826	150	1	eventually	eventually	ADV
ap-5826	150	2	,	,	PUNCT
ap-5826	150	3	the	the	DET
ap-5826	150	4	pig	pig	NOUN
ap-5826	150	5	for	for	ADP
ap-5826	150	6	the	the	DET
ap-5826	150	7	whole	whole	ADJ
ap-5826	150	8	image	image	NOUN
ap-5826	150	9	is	be	AUX
ap-5826	150	10	subsequently	subsequently	ADV
ap-5826	150	11	explained	explain	VERB
ap-5826	150	12	as	as	ADP
ap-5826	150	13	γ(i	γ(i	NOUN
ap-5826	150	14	)	)	PUNCT
ap-5826	151	1	=	=	SYM
ap-5826	151	2	h	h	NOUN
ap-5826	151	3	−h	−h	ADV
ap-5826	151	4	(	(	PUNCT
ap-5826	151	5	i	i	NOUN
ap-5826	151	6	)	)	PUNCT
ap-5826	151	7	,	,	PUNCT
ap-5826	151	8	γ(i	γ(i	NOUN
ap-5826	151	9	)	)	PUNCT
ap-5826	151	10	=	=	SYM
ap-5826	152	1	ln(wh)−	ln(wh)−	PROPN
ap-5826	152	2	∑2d−1	∑2d−1	PROPN
ap-5826	152	3	j=0	j=0	PROPN
ap-5826	152	4	nj	nj	PROPN
ap-5826	152	5	ln(nj	ln(nj	PROPN
ap-5826	152	6	)	)	PUNCT
ap-5826	152	7	wh	wh	VERB
ap-5826	152	8	−	−	NOUN
ap-5826	152	9	ln(wh	ln(wh	NOUN
ap-5826	152	10	−	−	PROPN
ap-5826	152	11	1	1	NUM
ap-5826	152	12	)	)	PUNCT
ap-5826	153	1	+	+	CCONJ
ap-5826	153	2	∑2d−1	∑2d−1	PUNCT
ap-5826	153	3	j=0	j=0	PROPN
ap-5826	153	4	n	n	PROPN
ap-5826	153	5	(	(	PUNCT
ap-5826	153	6	i	i	PROPN
ap-5826	153	7	)	)	PUNCT
ap-5826	153	8	j	j	PROPN
ap-5826	153	9	ln(n(i	ln(n(i	PROPN
ap-5826	153	10	)	)	PUNCT
ap-5826	153	11	j	j	NOUN
ap-5826	153	12	)	)	PUNCT
ap-5826	153	13	wh	wh	VERB
ap-5826	153	14	−	−	NOUN
ap-5826	153	15	1	1	NUM
ap-5826	153	16	,	,	PUNCT
ap-5826	153	17	γ(i	γ(i	NOUN
ap-5826	153	18	)	)	PUNCT
ap-5826	153	19	=	=	SYM
ap-5826	154	1	ln	ln	ADJ
ap-5826	154	2	(	(	PUNCT
ap-5826	154	3	wh	wh	AUX
ap-5826	154	4	wh	wh	VERB
ap-5826	154	5	−	−	NOUN
ap-5826	154	6	1	1	NUM
ap-5826	154	7	)	)	PUNCT
ap-5826	154	8	−	−	PROPN
ap-5826	154	9	ni	ni	PROPN
ap-5826	154	10	ln(ni	ln(ni	PROPN
ap-5826	154	11	)	)	PUNCT
ap-5826	155	1	+	+	CCONJ
ap-5826	155	2	∑i−1	∑i−1	PROPN
ap-5826	155	3	j=0	j=0	PROPN
ap-5826	155	4	nj	nj	PROPN
ap-5826	155	5	ln(nj	ln(nj	PROPN
ap-5826	155	6	)	)	PUNCT
ap-5826	156	1	+	+	CCONJ
ap-5826	156	2	∑2d−1	∑2d−1	PUNCT
ap-5826	156	3	j	j	PROPN
ap-5826	156	4	=	=	PROPN
ap-5826	156	5	i+1	i+1	NOUN
ap-5826	156	6	nj	nj	PROPN
ap-5826	156	7	ln(nj	ln(nj	PROPN
ap-5826	156	8	)	)	PUNCT
ap-5826	156	9	wh	wh	VERB
ap-5826	156	10	+	+	CCONJ
ap-5826	156	11	(	(	PUNCT
ap-5826	156	12	ni	ni	PROPN
ap-5826	156	13	−	−	PROPN
ap-5826	156	14	1	1	NUM
ap-5826	156	15	)	)	PUNCT
ap-5826	156	16	ln(ni	ln(ni	NOUN
ap-5826	156	17	−	−	PROPN
ap-5826	156	18	1	1	X
ap-5826	156	19	)	)	PUNCT
ap-5826	156	20	wh	wh	VERB
ap-5826	156	21	−	−	NOUN
ap-5826	156	22	1	1	NUM
ap-5826	156	23	+	+	CCONJ
ap-5826	156	24	∑i−1	∑i−1	PROPN
ap-5826	156	25	j=0	j=0	PROPN
ap-5826	156	26	nj	nj	PROPN
ap-5826	156	27	ln(nj	ln(nj	PROPN
ap-5826	156	28	)	)	PUNCT
ap-5826	157	1	+	+	CCONJ
ap-5826	157	2	∑2d−1	∑2d−1	PUNCT
ap-5826	157	3	j	j	PROPN
ap-5826	157	4	=	=	PROPN
ap-5826	157	5	i+1	i+1	NOUN
ap-5826	157	6	nj	nj	PROPN
ap-5826	157	7	ln(nj	ln(nj	PROPN
ap-5826	157	8	)	)	PUNCT
ap-5826	157	9	wh	wh	VERB
ap-5826	157	10	−	−	NOUN
ap-5826	157	11	1	1	NUM
ap-5826	157	12	,	,	PUNCT
ap-5826	157	13	γ(i	γ(i	NOUN
ap-5826	157	14	)	)	PUNCT
ap-5826	158	1	=	=	SYM
ap-5826	158	2	ln	ln	ADJ
ap-5826	158	3	(	(	PUNCT
ap-5826	158	4	wh	wh	AUX
ap-5826	158	5	wh	wh	VERB
ap-5826	158	6	−	−	NOUN
ap-5826	158	7	1	1	NUM
ap-5826	158	8	)	)	PUNCT
ap-5826	159	1	+	+	CCONJ
ap-5826	159	2	1	1	NUM
ap-5826	159	3	wh(wh	wh(wh	NOUN
ap-5826	159	4	−	−	NOUN
ap-5826	159	5	1	1	X
ap-5826	159	6	)	)	PUNCT
ap-5826	159	7	i−1∑	i−1∑	VERB
ap-5826	159	8	j=0	j=0	PROPN
ap-5826	159	9	nj	nj	PROPN
ap-5826	159	10	ln(nj	ln(nj	PROPN
ap-5826	159	11	)	)	PUNCT
ap-5826	160	1	+	+	CCONJ
ap-5826	161	1	2d−1∑	2d−1∑	NUM
ap-5826	161	2	j	j	NOUN
ap-5826	161	3	=	=	PROPN
ap-5826	161	4	i+1	i+1	NOUN
ap-5826	161	5	nj	nj	PROPN
ap-5826	161	6	ln(nj	ln(nj	PROPN
ap-5826	161	7	)	)	PUNCT
ap-5826	162	1			PROPN
ap-5826	162	2	︸	︸	X
ap-5826	162	3	︷︷	︷︷	PROPN
ap-5826	162	4	︸∑2d−1	︸∑2d−1	X
ap-5826	162	5	j=0	j=0	PROPN
ap-5826	162	6	(	(	PUNCT
ap-5826	162	7	nj	nj	PROPN
ap-5826	162	8	ln(nj))−ni	ln(nj))−ni	PROPN
ap-5826	162	9	ln(ni	ln(ni	PROPN
ap-5826	162	10	)	)	PUNCT
ap-5826	162	11	−	−	PROPN
ap-5826	162	12	ni	ni	PROPN
ap-5826	162	13	ln(ni	ln(ni	PROPN
ap-5826	162	14	)	)	PUNCT
ap-5826	162	15	wh	wh	VERB
ap-5826	162	16	+	+	CCONJ
ap-5826	163	1	(	(	PUNCT
ap-5826	163	2	ni	ni	PROPN
ap-5826	163	3	−	−	PROPN
ap-5826	163	4	1	1	NUM
ap-5826	163	5	)	)	PUNCT
ap-5826	163	6	ln(ni	ln(ni	NOUN
ap-5826	163	7	−	−	PROPN
ap-5826	163	8	1	1	X
ap-5826	163	9	)	)	PUNCT
ap-5826	163	10	wh	wh	VERB
ap-5826	163	11	−	−	NOUN
ap-5826	163	12	1	1	NUM
ap-5826	163	13	,	,	PUNCT
ap-5826	163	14	figure	figure	NOUN
ap-5826	163	15	2	2	NUM
ap-5826	163	16	.	.	PUNCT
ap-5826	163	17	image	image	NOUN
ap-5826	163	18	of	of	ADP
ap-5826	163	19	the	the	DET
ap-5826	163	20	size	size	NOUN
ap-5826	163	21	of	of	ADP
ap-5826	163	22	[	[	X
ap-5826	163	23	h	h	NOUN
ap-5826	163	24	×	×	NOUN
ap-5826	163	25	w	w	X
ap-5826	163	26	]	]	PUNCT
ap-5826	163	27	with	with	ADP
ap-5826	163	28	the	the	DET
ap-5826	163	29	intensity	intensity	NOUN
ap-5826	163	30	levels	level	NOUN
ap-5826	163	31	of	of	ADP
ap-5826	163	32	d	d	PROPN
ap-5826	163	33	bits	bit	NOUN
ap-5826	163	34	,	,	PUNCT
ap-5826	163	35	with	with	ADP
ap-5826	163	36	investigated	investigate	VERB
ap-5826	163	37	cross	cross	NOUN
ap-5826	163	38	.	.	PUNCT
ap-5826	163	39	γ(i	γ(i	NOUN
ap-5826	163	40	)	)	PUNCT
ap-5826	164	1	=	=	SYM
ap-5826	164	2	ln	ln	ADJ
ap-5826	164	3	(	(	PUNCT
ap-5826	164	4	wh	wh	AUX
ap-5826	164	5	wh	wh	VERB
ap-5826	164	6	−	−	NOUN
ap-5826	164	7	1	1	NUM
ap-5826	164	8	)	)	PUNCT
ap-5826	165	1	+	+	CCONJ
ap-5826	165	2	∑2d−1	∑2d−1	SYM
ap-5826	165	3	j=0	j=0	PROPN
ap-5826	165	4	nj	nj	PROPN
ap-5826	165	5	ln(nj	ln(nj	PROPN
ap-5826	165	6	)	)	PUNCT
ap-5826	165	7	wh(wh	wh(wh	NOUN
ap-5826	165	8	−	−	NOUN
ap-5826	165	9	1	1	NUM
ap-5826	165	10	)	)	PUNCT
ap-5826	165	11	+	+	CCONJ
ap-5826	165	12	1	1	NUM
ap-5826	165	13	wh	wh	VERB
ap-5826	165	14	−	−	NOUN
ap-5826	165	15	1	1	NUM
ap-5826	166	1	[	[	X
ap-5826	166	2	(	(	PUNCT
ap-5826	166	3	ni	ni	PROPN
ap-5826	166	4	−	−	PROPN
ap-5826	166	5	1	1	NUM
ap-5826	166	6	)	)	PUNCT
ap-5826	166	7	ln(ni	ln(ni	NOUN
ap-5826	166	8	−	−	PROPN
ap-5826	166	9	1)−	1)−	PROPN
ap-5826	166	10	ni	ni	PROPN
ap-5826	166	11	ln(ni	ln(ni	PROPN
ap-5826	166	12	)	)	PUNCT
ap-5826	166	13	]	]	PUNCT
ap-5826	166	14	,	,	PUNCT
ap-5826	166	15	γ(i	γ(i	NOUN
ap-5826	166	16	)	)	PUNCT
ap-5826	167	1	=	=	SYM
ap-5826	167	2	ln	ln	ADJ
ap-5826	167	3	(	(	PUNCT
ap-5826	167	4	wh	wh	AUX
ap-5826	167	5	wh	wh	VERB
ap-5826	167	6	−	−	NOUN
ap-5826	167	7	1	1	NUM
ap-5826	167	8	)	)	PUNCT
ap-5826	168	1	+	+	CCONJ
ap-5826	168	2	∑2d−1	∑2d−1	SYM
ap-5826	168	3	j=0	j=0	PROPN
ap-5826	168	4	nj	nj	PROPN
ap-5826	168	5	ln(nj	ln(nj	PROPN
ap-5826	168	6	)	)	PUNCT
ap-5826	168	7	wh(wh	wh(wh	NOUN
ap-5826	168	8	−	−	NOUN
ap-5826	168	9	1	1	NUM
ap-5826	168	10	)	)	PUNCT
ap-5826	168	11	+	+	CCONJ
ap-5826	168	12	1	1	NUM
ap-5826	168	13	wh	wh	NOUN
ap-5826	168	14	−	−	NOUN
ap-5826	168	15	1	1	NUM
ap-5826	168	16	ln	ln	NOUN
ap-5826	168	17	(	(	PUNCT
ap-5826	168	18	ni	ni	PROPN
ap-5826	168	19	−	−	PROPN
ap-5826	168	20	1)(ni−1	1)(ni−1	NUM
ap-5826	168	21	)	)	PUNCT
ap-5826	168	22	n	n	PROPN
ap-5826	168	23	(	(	PUNCT
ap-5826	168	24	ni	ni	PROPN
ap-5826	168	25	)	)	PUNCT
ap-5826	168	26	i	i	PRON
ap-5826	168	27	.	.	PUNCT
ap-5826	169	1	(	(	PUNCT
ap-5826	169	2	12	12	NUM
ap-5826	169	3	)	)	PUNCT
ap-5826	169	4	from	from	ADP
ap-5826	169	5	eq	eq	NOUN
ap-5826	169	6	.	.	PROPN
ap-5826	169	7	12	12	NUM
ap-5826	169	8	follows	follow	VERB
ap-5826	169	9	that	that	SCONJ
ap-5826	169	10	the	the	DET
ap-5826	169	11	γ(i	γ(i	NOUN
ap-5826	169	12	)	)	PUNCT
ap-5826	169	13	can	can	AUX
ap-5826	169	14	be	be	AUX
ap-5826	169	15	evaluated	evaluate	VERB
ap-5826	169	16	as	as	ADP
ap-5826	169	17	γ(i	γ(i	NOUN
ap-5826	169	18	)	)	PUNCT
ap-5826	170	1	=	=	SYM
ap-5826	170	2	b	b	X
ap-5826	171	1	+	+	CCONJ
ap-5826	171	2	c	c	PROPN
ap-5826	171	3	ln	ln	NOUN
ap-5826	171	4	(	(	PUNCT
ap-5826	171	5	ni	ni	PROPN
ap-5826	171	6	−	−	PROPN
ap-5826	171	7	1)(ni−1	1)(ni−1	NUM
ap-5826	171	8	)	)	PUNCT
ap-5826	171	9	n	n	PROPN
ap-5826	171	10	(	(	PUNCT
ap-5826	171	11	ni	ni	PROPN
ap-5826	171	12	)	)	PUNCT
ap-5826	171	13	i	i	PRON
ap-5826	171	14	,	,	PUNCT
ap-5826	171	15	(	(	PUNCT
ap-5826	171	16	13	13	NUM
ap-5826	171	17	)	)	PUNCT
ap-5826	171	18	where	where	SCONJ
ap-5826	171	19	the	the	DET
ap-5826	171	20	constant	constant	ADJ
ap-5826	171	21	c	c	NOUN
ap-5826	171	22	=	=	SYM
ap-5826	171	23	1	1	NUM
ap-5826	171	24	w	w	VERB
ap-5826	171	25	h−1	h−1	PROPN
ap-5826	171	26	and	and	CCONJ
ap-5826	171	27	the	the	DET
ap-5826	171	28	base	base	NOUN
ap-5826	171	29	b	b	X
ap-5826	171	30	=	=	SYM
ap-5826	171	31	ln	ln	PROPN
ap-5826	171	32	(	(	PUNCT
ap-5826	171	33	w	w	NOUN
ap-5826	171	34	h	h	NOUN
ap-5826	171	35	w	w	PROPN
ap-5826	171	36	h−1	h−1	PROPN
ap-5826	171	37	)	)	PUNCT
ap-5826	172	1	+	+	CCONJ
ap-5826	173	1	1	1	NUM
ap-5826	173	2	w	w	NOUN
ap-5826	173	3	h(w	h(w	PROPN
ap-5826	173	4	h−1	h−1	PROPN
ap-5826	173	5	)	)	PUNCT
ap-5826	173	6	∑2d−1	∑2d−1	PUNCT
ap-5826	173	7	j=0	j=0	PROPN
ap-5826	173	8	nj	nj	PROPN
ap-5826	173	9	ln(nj	ln(nj	PROPN
ap-5826	173	10	)	)	PUNCT
ap-5826	173	11	.	.	PUNCT
ap-5826	174	1	4.2	4.2	NUM
ap-5826	174	2	.	.	PUNCT
ap-5826	174	3	point	point	NOUN
ap-5826	174	4	information	information	NOUN
ap-5826	174	5	gain	gain	NOUN
ap-5826	174	6	for	for	ADP
ap-5826	174	7	the	the	DET
ap-5826	174	8	cross	cross	PROPN
ap-5826	174	9	computation	computation	PROPN
ap-5826	174	10	a	a	DET
ap-5826	174	11	column	column	NOUN
ap-5826	174	12	histogram	histogram	NOUN
ap-5826	174	13	n(y	n(y	PROPN
ap-5826	174	14	)	)	PUNCT
ap-5826	174	15	is	be	AUX
ap-5826	174	16	defined	define	VERB
ap-5826	174	17	as	as	ADP
ap-5826	174	18	n(y	n(y	ADJ
ap-5826	174	19	)	)	PUNCT
ap-5826	175	1	=	=	PUNCT
ap-5826	176	1	[	[	X
ap-5826	176	2	n0(y	n0(y	NOUN
ap-5826	176	3	)	)	PUNCT
ap-5826	176	4	,	,	PUNCT
ap-5826	176	5	n1(y	n1(y	PROPN
ap-5826	176	6	)	)	PUNCT
ap-5826	176	7	,	,	PUNCT
ap-5826	176	8	.	.	PUNCT
ap-5826	176	9	.	.	PUNCT
ap-5826	177	1	.	.	PUNCT
ap-5826	178	1	,	,	PUNCT
ap-5826	179	1	n(2d−1)(y	n(2d−1)(y	NOUN
ap-5826	179	2	)	)	PUNCT
ap-5826	179	3	]	]	PUNCT
ap-5826	179	4	;	;	PUNCT
ap-5826	180	1	y	y	PROPN
ap-5826	180	2	=	=	PUNCT
ap-5826	181	1	[	[	X
ap-5826	181	2	1	1	NUM
ap-5826	181	3	,	,	PUNCT
ap-5826	181	4	2	2	NUM
ap-5826	181	5	,	,	PUNCT
ap-5826	181	6	.	.	PUNCT
ap-5826	181	7	.	.	PUNCT
ap-5826	182	1	.	.	PUNCT
ap-5826	183	1	,	,	PUNCT
ap-5826	183	2	w	w	X
ap-5826	183	3	]	]	X
ap-5826	183	4	;	;	PUNCT
ap-5826	183	5	j	j	PROPN
ap-5826	183	6	=	=	PUNCT
ap-5826	184	1	[	[	X
ap-5826	184	2	0	0	NUM
ap-5826	184	3	,	,	PUNCT
ap-5826	184	4	1	1	NUM
ap-5826	184	5	,	,	PUNCT
ap-5826	184	6	.	.	PUNCT
ap-5826	184	7	.	.	PUNCT
ap-5826	185	1	.	.	PUNCT
ap-5826	186	1	,	,	PUNCT
ap-5826	186	2	i	i	PRON
ap-5826	186	3	,	,	PUNCT
ap-5826	186	4	.	.	PUNCT
ap-5826	186	5	.	.	PUNCT
ap-5826	186	6	.	.	PUNCT
ap-5826	187	1	,	,	PUNCT
ap-5826	187	2	2d	2d	NOUN
ap-5826	187	3	−	−	NOUN
ap-5826	187	4	1	1	NUM
ap-5826	187	5	]	]	PUNCT
ap-5826	187	6	.	.	PUNCT
ap-5826	188	1	similarly	similarly	ADV
ap-5826	188	2	,	,	PUNCT
ap-5826	188	3	a	a	DET
ap-5826	188	4	row	row	NOUN
ap-5826	188	5	histogram	histogram	NOUN
ap-5826	188	6	n(x	n(x	PROPN
ap-5826	188	7	)	)	PUNCT
ap-5826	188	8	is	be	AUX
ap-5826	188	9	defined	define	VERB
ap-5826	188	10	as	as	ADP
ap-5826	188	11	n(x	n(x	PROPN
ap-5826	188	12	)	)	PUNCT
ap-5826	188	13	=	=	PUNCT
ap-5826	189	1	[	[	X
ap-5826	189	2	n0(x	n0(x	NUM
ap-5826	189	3	)	)	PUNCT
ap-5826	189	4	,	,	PUNCT
ap-5826	189	5	n1(x	n1(x	NUM
ap-5826	189	6	)	)	PUNCT
ap-5826	189	7	,	,	PUNCT
ap-5826	189	8	.	.	PUNCT
ap-5826	189	9	.	.	PUNCT
ap-5826	190	1	.	.	PUNCT
ap-5826	191	1	,	,	PUNCT
ap-5826	191	2	n(2d−1)(x	n(2d−1)(x	PROPN
ap-5826	191	3	)	)	PUNCT
ap-5826	191	4	]	]	PUNCT
ap-5826	191	5	;	;	PUNCT
ap-5826	192	1	x	x	SYM
ap-5826	192	2	=	=	PUNCT
ap-5826	193	1	[	[	X
ap-5826	193	2	1	1	NUM
ap-5826	193	3	,	,	PUNCT
ap-5826	193	4	2	2	NUM
ap-5826	193	5	,	,	PUNCT
ap-5826	193	6	.	.	PUNCT
ap-5826	193	7	.	.	PUNCT
ap-5826	194	1	.	.	PUNCT
ap-5826	195	1	,	,	PUNCT
ap-5826	195	2	h	h	NOUN
ap-5826	195	3	]	]	X
ap-5826	195	4	;	;	PUNCT
ap-5826	195	5	j	j	X
ap-5826	196	1	=	=	PUNCT
ap-5826	197	1	[	[	X
ap-5826	197	2	0	0	NUM
ap-5826	197	3	,	,	PUNCT
ap-5826	197	4	1	1	NUM
ap-5826	197	5	,	,	PUNCT
ap-5826	197	6	.	.	PUNCT
ap-5826	197	7	.	.	PUNCT
ap-5826	198	1	.	.	PUNCT
ap-5826	199	1	,	,	PUNCT
ap-5826	199	2	i	i	PRON
ap-5826	199	3	,	,	PUNCT
ap-5826	199	4	.	.	PUNCT
ap-5826	199	5	.	.	PUNCT
ap-5826	199	6	.	.	PUNCT
ap-5826	200	1	,	,	PUNCT
ap-5826	200	2	2d	2d	NOUN
ap-5826	200	3	−	−	NOUN
ap-5826	200	4	1	1	NUM
ap-5826	200	5	]	]	PUNCT
ap-5826	200	6	.	.	PUNCT
ap-5826	201	1	the	the	DET
ap-5826	201	2	elements	element	NOUN
ap-5826	201	3	of	of	ADP
ap-5826	201	4	the	the	DET
ap-5826	201	5	unit	unit	NOUN
ap-5826	201	6	histogram	histogram	PROPN
ap-5826	201	7	ei	ei	PROPN
ap-5826	201	8	are	be	AUX
ap-5826	201	9	(	(	PUNCT
ap-5826	201	10	cf	cf	NOUN
ap-5826	201	11	.	.	PUNCT
ap-5826	201	12	eqs	eqs	PROPN
ap-5826	201	13	.	.	PUNCT
ap-5826	202	1	(	(	PUNCT
ap-5826	202	2	8)–(9	8)–(9	NOUN
ap-5826	202	3	)	)	PUNCT
ap-5826	202	4	)	)	PUNCT
ap-5826	203	1	ej	ej	X
ap-5826	204	1	=	=	PRON
ap-5826	204	2	{	{	PUNCT
ap-5826	204	3	0	0	NUM
ap-5826	204	4	j	j	PROPN
ap-5826	204	5	6=	6=	NUM
ap-5826	205	1	i	i	PRON
ap-5826	205	2	=	=	SYM
ap-5826	205	3	φ(x	φ(x	PROPN
ap-5826	205	4	,	,	PUNCT
ap-5826	205	5	y	y	NOUN
ap-5826	205	6	)	)	PUNCT
ap-5826	205	7	1	1	NUM
ap-5826	205	8	j	j	NOUN
ap-5826	205	9	=	=	SYM
ap-5826	206	1	i	i	NOUN
ap-5826	206	2	=	=	SYM
ap-5826	206	3	φ(x	φ(x	PROPN
ap-5826	206	4	,	,	PUNCT
ap-5826	206	5	y	y	NOUN
ap-5826	206	6	)	)	PUNCT
ap-5826	206	7	j	j	NOUN
ap-5826	207	1	=	=	PUNCT
ap-5826	208	1	[	[	X
ap-5826	208	2	0	0	NUM
ap-5826	208	3	,	,	PUNCT
ap-5826	208	4	1	1	NUM
ap-5826	208	5	,	,	PUNCT
ap-5826	208	6	.	.	PUNCT
ap-5826	208	7	.	.	PUNCT
ap-5826	209	1	.	.	PUNCT
ap-5826	210	1	,	,	PUNCT
ap-5826	210	2	i	i	PRON
ap-5826	210	3	,	,	PUNCT
ap-5826	210	4	.	.	PUNCT
ap-5826	210	5	.	.	PUNCT
ap-5826	210	6	.	.	PUNCT
ap-5826	211	1	,	,	PUNCT
ap-5826	211	2	2d	2d	NOUN
ap-5826	211	3	−	−	NOUN
ap-5826	211	4	1	1	NUM
ap-5826	211	5	]	]	PUNCT
ap-5826	211	6	.	.	PUNCT
ap-5826	212	1	596	596	NUM
ap-5826	212	2	vol	vol	NOUN
ap-5826	212	3	.	.	PUNCT
ap-5826	213	1	59	59	NUM
ap-5826	213	2	no	no	NOUN
ap-5826	213	3	.	.	PUNCT
ap-5826	214	1	6/2019	6/2019	NUM
ap-5826	214	2	optimization	optimization	NOUN
ap-5826	214	3	of	of	ADP
ap-5826	214	4	computational	computational	ADJ
ap-5826	214	5	burden	burden	NOUN
ap-5826	214	6	of	of	ADP
ap-5826	214	7	the	the	DET
ap-5826	214	8	point	point	NOUN
ap-5826	214	9	information	information	NOUN
ap-5826	214	10	gain	gain	VERB
ap-5826	214	11	the	the	DET
ap-5826	214	12	entropy	entropy	PROPN
ap-5826	214	13	h(x	h(x	PROPN
ap-5826	214	14	,	,	PUNCT
ap-5826	214	15	y	y	PROPN
ap-5826	214	16	)	)	PUNCT
ap-5826	214	17	for	for	ADP
ap-5826	214	18	computation	computation	NOUN
ap-5826	214	19	from	from	ADP
ap-5826	214	20	the	the	DET
ap-5826	214	21	column	column	NOUN
ap-5826	214	22	histogram	histogram	NOUN
ap-5826	214	23	n(y	n(y	PROPN
ap-5826	214	24	)	)	PUNCT
ap-5826	214	25	and	and	CCONJ
ap-5826	214	26	row	row	NOUN
ap-5826	214	27	histogram	histogram	NOUN
ap-5826	214	28	n(x	n(x	PROPN
ap-5826	214	29	)	)	PUNCT
ap-5826	214	30	of	of	ADP
ap-5826	214	31	the	the	DET
ap-5826	214	32	cross	cross	NOUN
ap-5826	214	33	with	with	ADP
ap-5826	214	34	the	the	DET
ap-5826	214	35	center	center	NOUN
ap-5826	214	36	pixel	pixel	VERB
ap-5826	214	37	on	on	ADP
ap-5826	214	38	,	,	PUNCT
ap-5826	214	39	of	of	ADP
ap-5826	214	40	the	the	DET
ap-5826	214	41	intensity	intensity	NOUN
ap-5826	214	42	i	i	PRON
ap-5826	214	43	at	at	ADP
ap-5826	214	44	the	the	DET
ap-5826	214	45	position	position	NOUN
ap-5826	214	46	(	(	PUNCT
ap-5826	214	47	x	x	NOUN
ap-5826	214	48	,	,	PUNCT
ap-5826	214	49	y	y	PROPN
ap-5826	214	50	)	)	PUNCT
ap-5826	214	51	,	,	PUNCT
ap-5826	214	52	can	can	AUX
ap-5826	214	53	be	be	AUX
ap-5826	214	54	written	write	VERB
ap-5826	214	55	as	as	ADP
ap-5826	214	56	h(x	h(x	PROPN
ap-5826	214	57	,	,	PUNCT
ap-5826	214	58	y	y	PROPN
ap-5826	214	59	)	)	PUNCT
ap-5826	215	1	=	=	SYM
ap-5826	216	1	−	−	PROPN
ap-5826	216	2	2d−1∑	2d−1∑	PROPN
ap-5826	216	3	j=0	j=0	PROPN
ap-5826	216	4	pj	pj	PROPN
ap-5826	216	5	ln(pj	ln(pj	PROPN
ap-5826	216	6	)	)	PUNCT
ap-5826	216	7	,	,	PUNCT
ap-5826	216	8	h(x	h(x	PROPN
ap-5826	216	9	,	,	PUNCT
ap-5826	216	10	y	y	PROPN
ap-5826	216	11	)	)	PUNCT
ap-5826	216	12	=	=	PUNCT
ap-5826	217	1	=	=	PUNCT
ap-5826	217	2	−	−	PROPN
ap-5826	217	3	2d−1∑	2d−1∑	PROPN
ap-5826	217	4	j=0	j=0	PROPN
ap-5826	217	5	nj(x	nj(x	PUNCT
ap-5826	217	6	)	)	PUNCT
ap-5826	217	7	+	+	CCONJ
ap-5826	217	8	nj(y	nj(y	X
ap-5826	217	9	)	)	PUNCT
ap-5826	217	10	−	−	NOUN
ap-5826	218	1	ej	ej	INTJ
ap-5826	218	2	h	h	PROPN
ap-5826	219	1	+	+	PROPN
ap-5826	219	2	w	w	PROPN
ap-5826	219	3	−	−	PROPN
ap-5826	219	4	1	1	NUM
ap-5826	219	5	ln	ln	ADJ
ap-5826	219	6	nj(x	nj(x	PUNCT
ap-5826	219	7	)	)	PUNCT
ap-5826	220	1	+	+	CCONJ
ap-5826	220	2	nj(y	nj(y	X
ap-5826	220	3	)	)	PUNCT
ap-5826	220	4	−	−	NOUN
ap-5826	221	1	ej	ej	INTJ
ap-5826	221	2	h	h	PROPN
ap-5826	222	1	+	+	PROPN
ap-5826	222	2	w	w	PROPN
ap-5826	222	3	−	−	PROPN
ap-5826	222	4	1	1	NUM
ap-5826	222	5	,	,	PUNCT
ap-5826	222	6	h(x	h(x	PROPN
ap-5826	222	7	,	,	PUNCT
ap-5826	222	8	y	y	PROPN
ap-5826	222	9	)	)	PUNCT
ap-5826	222	10	=	=	SYM
ap-5826	223	1	=	=	SYM
ap-5826	223	2	2d−1∑	2d−1∑	PROPN
ap-5826	223	3	j=0	j=0	PROPN
ap-5826	223	4	nj(x	nj(x	PUNCT
ap-5826	223	5	)	)	PUNCT
ap-5826	223	6	+	+	CCONJ
ap-5826	223	7	nj(y	nj(y	X
ap-5826	223	8	)	)	PUNCT
ap-5826	223	9	−	−	NOUN
ap-5826	224	1	ej	ej	INTJ
ap-5826	224	2	h	h	PROPN
ap-5826	225	1	+	+	PROPN
ap-5826	225	2	w	w	PROPN
ap-5826	225	3	−	−	ADJ
ap-5826	225	4	1	1	NUM
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ap-5826	225	6	+	+	NOUN
ap-5826	225	7	w	w	NOUN
ap-5826	225	8	−	−	NUM
ap-5826	225	9	1	1	NUM
ap-5826	225	10	)	)	PUNCT
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ap-5826	225	12	2d−1∑	2d−1∑	PROPN
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ap-5826	225	14	nj(x	nj(x	PUNCT
ap-5826	225	15	)	)	PUNCT
ap-5826	226	1	+	+	CCONJ
ap-5826	226	2	nj(y	nj(y	X
ap-5826	226	3	)	)	PUNCT
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ap-5826	227	2	h	h	PROPN
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ap-5826	228	4	1	1	NUM
ap-5826	228	5	ln(nj(x	ln(nj(x	X
ap-5826	228	6	)	)	PUNCT
ap-5826	229	1	+	+	CCONJ
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ap-5826	230	10	)	)	PUNCT
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ap-5826	232	1	+	+	NOUN
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ap-5826	232	4	1	1	NUM
ap-5826	232	5	)	)	PUNCT
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ap-5826	233	1	+	+	NOUN
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ap-5826	233	4	1	1	NUM
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ap-5826	233	7	nj(x	nj(x	PUNCT
ap-5826	233	8	)	)	PUNCT
ap-5826	233	9	+	+	CCONJ
ap-5826	233	10	nj(y	nj(y	X
ap-5826	233	11	)	)	PUNCT
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ap-5826	233	13	ej︸	ej︸	PROPN
ap-5826	233	14	︷︷	︷︷	PROPN
ap-5826	233	15	︸	︸	ADP
ap-5826	233	16	h+w	h+w	X
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ap-5826	233	18	−	−	NOUN
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ap-5826	233	21	(	(	PUNCT
ap-5826	233	22	nj(x	nj(x	PUNCT
ap-5826	233	23	)	)	PUNCT
ap-5826	233	24	+	+	CCONJ
ap-5826	233	25	nj(y	nj(y	X
ap-5826	233	26	)	)	PUNCT
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ap-5826	233	28	ej	ej	PROPN
ap-5826	233	29	)	)	PUNCT
ap-5826	233	30	ln(nj(x	ln(nj(x	PUNCT
ap-5826	233	31	)	)	PUNCT
ap-5826	234	1	+	+	CCONJ
ap-5826	235	1	nj(y	nj(y	X
ap-5826	235	2	)	)	PUNCT
ap-5826	235	3	−	−	PROPN
ap-5826	235	4	ej	ej	X
ap-5826	235	5	)	)	PUNCT
ap-5826	235	6	h	h	NOUN
ap-5826	236	1	+	+	NOUN
ap-5826	236	2	w	w	NOUN
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ap-5826	236	4	1	1	NUM
ap-5826	236	5	,	,	PUNCT
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ap-5826	236	7	,	,	PUNCT
ap-5826	236	8	y	y	PROPN
ap-5826	236	9	)	)	PUNCT
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ap-5826	237	1	=	=	NOUN
ap-5826	237	2	ln(h	ln(h	NUM
ap-5826	238	1	+	+	NOUN
ap-5826	238	2	w	w	NOUN
ap-5826	238	3	−	−	NUM
ap-5826	238	4	1	1	NUM
ap-5826	238	5	)	)	PUNCT
ap-5826	238	6	−	−	PROPN
ap-5826	238	7	∑2d−1	∑2d−1	PUNCT
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ap-5826	238	9	(	(	PUNCT
ap-5826	238	10	nj(x	nj(x	PUNCT
ap-5826	238	11	)	)	PUNCT
ap-5826	239	1	+	+	CCONJ
ap-5826	240	1	nj(y	nj(y	X
ap-5826	240	2	)	)	PUNCT
ap-5826	240	3	−	−	PROPN
ap-5826	240	4	ej	ej	PROPN
ap-5826	240	5	)	)	PUNCT
ap-5826	240	6	ln(nj(x	ln(nj(x	PUNCT
ap-5826	240	7	)	)	PUNCT
ap-5826	240	8	+	+	CCONJ
ap-5826	240	9	nj(y	nj(y	X
ap-5826	240	10	)	)	PUNCT
ap-5826	240	11	−	−	PROPN
ap-5826	240	12	ej	ej	X
ap-5826	240	13	)	)	PUNCT
ap-5826	240	14	h	h	NOUN
ap-5826	241	1	+	+	NOUN
ap-5826	241	2	w	w	NOUN
ap-5826	241	3	−	−	ADP
ap-5826	241	4	1	1	NUM
ap-5826	241	5	,	,	PUNCT
ap-5826	241	6	h(x	h(x	PROPN
ap-5826	241	7	,	,	PUNCT
ap-5826	241	8	y	y	PROPN
ap-5826	241	9	)	)	PUNCT
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ap-5826	242	1	=	=	NOUN
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ap-5826	243	1	+	+	NOUN
ap-5826	243	2	w	w	NOUN
ap-5826	243	3	−	−	NUM
ap-5826	243	4	1	1	NUM
ap-5826	243	5	)	)	PUNCT
ap-5826	243	6	−	−	PROPN
ap-5826	243	7	∑i−1	∑i−1	PROPN
ap-5826	243	8	j=0	j=0	PROPN
ap-5826	243	9	(	(	PUNCT
ap-5826	243	10	nj(x	nj(x	PUNCT
ap-5826	243	11	)	)	PUNCT
ap-5826	243	12	+	+	NUM
ap-5826	243	13	nj(y	nj(y	NUM
ap-5826	243	14	)	)	PUNCT
ap-5826	243	15	)	)	PUNCT
ap-5826	243	16	ln(nj(x	ln(nj(x	PUNCT
ap-5826	243	17	)	)	PUNCT
ap-5826	244	1	+	+	CCONJ
ap-5826	244	2	nj(y	nj(y	NUM
ap-5826	244	3	)	)	PUNCT
ap-5826	244	4	)	)	PUNCT
ap-5826	245	1	h	h	NOUN
ap-5826	246	1	+	+	NOUN
ap-5826	246	2	w	w	NOUN
ap-5826	246	3	−	−	ADJ
ap-5826	246	4	1	1	NUM
ap-5826	246	5	(	(	PUNCT
ap-5826	246	6	14	14	NUM
ap-5826	246	7	)	)	PUNCT
ap-5826	246	8	−	−	PROPN
ap-5826	246	9	∑2d−1	∑2d−1	PUNCT
ap-5826	246	10	j	j	PROPN
ap-5826	247	1	=	=	PROPN
ap-5826	247	2	i+1	i+1	X
ap-5826	247	3	(	(	PUNCT
ap-5826	247	4	nj(x	nj(x	PUNCT
ap-5826	247	5	)	)	PUNCT
ap-5826	247	6	+	+	NUM
ap-5826	247	7	nj(y	nj(y	NUM
ap-5826	247	8	)	)	PUNCT
ap-5826	247	9	)	)	PUNCT
ap-5826	248	1	ln(nj(x	ln(nj(x	PUNCT
ap-5826	248	2	)	)	PUNCT
ap-5826	249	1	+	+	CCONJ
ap-5826	249	2	nj(y	nj(y	NUM
ap-5826	249	3	)	)	PUNCT
ap-5826	249	4	)	)	PUNCT
ap-5826	250	1	h	h	NOUN
ap-5826	251	1	+	+	NOUN
ap-5826	251	2	w	w	NOUN
ap-5826	251	3	−	−	PROPN
ap-5826	251	4	1	1	NUM
ap-5826	251	5	−	−	PROPN
ap-5826	251	6	(	(	PUNCT
ap-5826	251	7	ni(x	ni(x	NUM
ap-5826	251	8	)	)	PUNCT
ap-5826	251	9	+	+	CCONJ
ap-5826	251	10	ni(y	ni(y	NOUN
ap-5826	251	11	)	)	PUNCT
ap-5826	251	12	−	−	NUM
ap-5826	251	13	1	1	NUM
ap-5826	251	14	)	)	PUNCT
ap-5826	251	15	ln(ni(x	ln(ni(x	NUM
ap-5826	251	16	)	)	PUNCT
ap-5826	252	1	+	+	CCONJ
ap-5826	252	2	ni(y	ni(y	NOUN
ap-5826	252	3	)	)	PUNCT
ap-5826	252	4	−	−	ADP
ap-5826	252	5	1	1	X
ap-5826	252	6	)	)	PUNCT
ap-5826	252	7	h	h	NOUN
ap-5826	253	1	+	+	NOUN
ap-5826	253	2	w	w	NOUN
ap-5826	253	3	−	−	NOUN
ap-5826	253	4	1	1	NUM
ap-5826	253	5	.	.	PUNCT
ap-5826	254	1	similarly	similarly	ADV
ap-5826	254	2	,	,	PUNCT
ap-5826	254	3	the	the	DET
ap-5826	254	4	entropy	entropy	PROPN
ap-5826	254	5	h	h	PROPN
ap-5826	254	6	(	(	PUNCT
ap-5826	254	7	i	i	NOUN
ap-5826	254	8	)	)	PUNCT
ap-5826	254	9	(	(	PUNCT
ap-5826	254	10	x	x	X
ap-5826	254	11	,	,	PUNCT
ap-5826	254	12	y	y	PROPN
ap-5826	254	13	)	)	PUNCT
ap-5826	254	14	for	for	ADP
ap-5826	254	15	the	the	DET
ap-5826	254	16	computation	computation	NOUN
ap-5826	254	17	from	from	ADP
ap-5826	254	18	the	the	DET
ap-5826	254	19	column	column	NOUN
ap-5826	254	20	histogram	histogram	NOUN
ap-5826	254	21	n(y	n(y	PROPN
ap-5826	254	22	)	)	PUNCT
ap-5826	254	23	and	and	CCONJ
ap-5826	254	24	row	row	NOUN
ap-5826	254	25	histogram	histogram	NOUN
ap-5826	254	26	n(x	n(x	PROPN
ap-5826	254	27	)	)	PUNCT
ap-5826	254	28	of	of	ADP
ap-5826	254	29	the	the	DET
ap-5826	254	30	cross	cross	NOUN
ap-5826	254	31	without	without	ADP
ap-5826	254	32	center	center	PROPN
ap-5826	254	33	pixel	pixel	PROPN
ap-5826	254	34	,	,	PUNCT
ap-5826	254	35	of	of	ADP
ap-5826	254	36	the	the	DET
ap-5826	254	37	intensity	intensity	NOUN
ap-5826	254	38	i	i	PRON
ap-5826	254	39	at	at	ADP
ap-5826	254	40	the	the	DET
ap-5826	254	41	position	position	NOUN
ap-5826	254	42	(	(	PUNCT
ap-5826	254	43	x	x	NOUN
ap-5826	254	44	,	,	PUNCT
ap-5826	254	45	y	y	PROPN
ap-5826	254	46	)	)	PUNCT
ap-5826	254	47	,	,	PUNCT
ap-5826	254	48	is	be	AUX
ap-5826	254	49	h	h	NOUN
ap-5826	254	50	(	(	PUNCT
ap-5826	254	51	i	i	NOUN
ap-5826	254	52	)	)	PUNCT
ap-5826	254	53	(	(	PUNCT
ap-5826	254	54	x	x	X
ap-5826	254	55	,	,	PUNCT
ap-5826	254	56	y	y	PROPN
ap-5826	254	57	)	)	PUNCT
ap-5826	254	58	=	=	SYM
ap-5826	255	1	−	−	PROPN
ap-5826	255	2	2d−1∑	2d−1∑	NUM
ap-5826	255	3	j=0	j=0	PROPN
ap-5826	255	4	p	p	PROPN
ap-5826	255	5	(	(	PUNCT
ap-5826	255	6	i	i	NOUN
ap-5826	255	7	)	)	PUNCT
ap-5826	255	8	j	j	PROPN
ap-5826	255	9	ln(p(i	ln(p(i	NUM
ap-5826	255	10	)	)	PUNCT
ap-5826	255	11	j	j	PROPN
ap-5826	255	12	)	)	PUNCT
ap-5826	255	13	,	,	PUNCT
ap-5826	255	14	h	h	NOUN
ap-5826	255	15	(	(	PUNCT
ap-5826	255	16	i	i	NOUN
ap-5826	255	17	)	)	PUNCT
ap-5826	255	18	(	(	PUNCT
ap-5826	255	19	x	x	X
ap-5826	255	20	,	,	PUNCT
ap-5826	255	21	y	y	NOUN
ap-5826	255	22	)	)	PUNCT
ap-5826	255	23	=	=	PUNCT
ap-5826	256	1	=	=	PUNCT
ap-5826	256	2	−	−	PROPN
ap-5826	256	3	2d−1∑	2d−1∑	PROPN
ap-5826	256	4	n=0	n=0	PUNCT
ap-5826	256	5	nj(x	nj(x	PUNCT
ap-5826	256	6	)	)	PUNCT
ap-5826	256	7	+	+	CCONJ
ap-5826	256	8	nj(y	nj(y	X
ap-5826	256	9	)	)	PUNCT
ap-5826	257	1	−	−	ADP
ap-5826	257	2	2ej	2ej	ADJ
ap-5826	257	3	h	h	NOUN
ap-5826	258	1	+	+	NOUN
ap-5826	258	2	w	w	NOUN
ap-5826	258	3	−	−	PROPN
ap-5826	258	4	2	2	NUM
ap-5826	258	5	ln	ln	NOUN
ap-5826	258	6	nj(x	nj(x	PUNCT
ap-5826	258	7	)	)	PUNCT
ap-5826	259	1	+	+	CCONJ
ap-5826	259	2	nj(y	nj(y	X
ap-5826	259	3	)	)	PUNCT
ap-5826	259	4	−	−	ADP
ap-5826	260	1	2ej	2ej	ADJ
ap-5826	260	2	h	h	NOUN
ap-5826	261	1	+	+	NOUN
ap-5826	261	2	w	w	NOUN
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ap-5826	261	4	2	2	NUM
ap-5826	261	5	,	,	PUNCT
ap-5826	261	6	h	h	NOUN
ap-5826	261	7	(	(	PUNCT
ap-5826	261	8	i	i	NOUN
ap-5826	261	9	)	)	PUNCT
ap-5826	261	10	(	(	PUNCT
ap-5826	261	11	x	x	X
ap-5826	261	12	,	,	PUNCT
ap-5826	261	13	y	y	PROPN
ap-5826	261	14	)	)	PUNCT
ap-5826	261	15	=	=	VERB
ap-5826	262	1	ln(h	ln(h	NUM
ap-5826	263	1	+	+	ADV
ap-5826	263	2	w	w	NOUN
ap-5826	263	3	−	−	PROPN
ap-5826	263	4	2	2	NUM
ap-5826	263	5	)	)	PUNCT
ap-5826	263	6	−	−	PROPN
ap-5826	263	7	∑2d−1	∑2d−1	PUNCT
ap-5826	263	8	j=0	j=0	PROPN
ap-5826	263	9	(	(	PUNCT
ap-5826	263	10	nj(x	nj(x	PUNCT
ap-5826	263	11	)	)	PUNCT
ap-5826	264	1	+	+	CCONJ
ap-5826	264	2	nj(y	nj(y	X
ap-5826	264	3	)	)	PUNCT
ap-5826	264	4	−	−	ADP
ap-5826	264	5	2ej	2ej	NOUN
ap-5826	264	6	)	)	PUNCT
ap-5826	264	7	ln(nj(x	ln(nj(x	PUNCT
ap-5826	264	8	)	)	PUNCT
ap-5826	265	1	+	+	CCONJ
ap-5826	265	2	nj(y	nj(y	X
ap-5826	265	3	)	)	PUNCT
ap-5826	265	4	−	−	ADP
ap-5826	265	5	2ej	2ej	NOUN
ap-5826	265	6	)	)	PUNCT
ap-5826	265	7	h	h	NOUN
ap-5826	266	1	+	+	NOUN
ap-5826	266	2	w	w	NOUN
ap-5826	266	3	−	−	ADP
ap-5826	266	4	2	2	NUM
ap-5826	266	5	,	,	PUNCT
ap-5826	266	6	h	h	NOUN
ap-5826	266	7	(	(	PUNCT
ap-5826	266	8	i	i	NOUN
ap-5826	266	9	)	)	PUNCT
ap-5826	266	10	(	(	PUNCT
ap-5826	266	11	x	x	X
ap-5826	266	12	,	,	PUNCT
ap-5826	266	13	y	y	NOUN
ap-5826	266	14	)	)	PUNCT
ap-5826	266	15	=	=	PUNCT
ap-5826	267	1	=	=	NOUN
ap-5826	267	2	ln(h	ln(h	NUM
ap-5826	268	1	+	+	NOUN
ap-5826	268	2	w	w	NOUN
ap-5826	268	3	−	−	PROPN
ap-5826	268	4	2	2	NUM
ap-5826	268	5	)	)	PUNCT
ap-5826	268	6	−	−	PROPN
ap-5826	268	7	∑i−1	∑i−1	PROPN
ap-5826	268	8	j=0	j=0	PROPN
ap-5826	268	9	(	(	PUNCT
ap-5826	268	10	nj(x	nj(x	PUNCT
ap-5826	268	11	)	)	PUNCT
ap-5826	268	12	+	+	NUM
ap-5826	268	13	nj(y	nj(y	NUM
ap-5826	268	14	)	)	PUNCT
ap-5826	268	15	)	)	PUNCT
ap-5826	268	16	ln(nj(x	ln(nj(x	PUNCT
ap-5826	268	17	)	)	PUNCT
ap-5826	269	1	+	+	CCONJ
ap-5826	269	2	nj(y	nj(y	NUM
ap-5826	269	3	)	)	PUNCT
ap-5826	269	4	)	)	PUNCT
ap-5826	270	1	h	h	NOUN
ap-5826	271	1	+	+	NOUN
ap-5826	271	2	w	w	NOUN
ap-5826	271	3	−	−	ADJ
ap-5826	271	4	2	2	NUM
ap-5826	271	5	−	−	PROPN
ap-5826	271	6	∑2d−1	∑2d−1	PROPN
ap-5826	271	7	j	j	PROPN
ap-5826	271	8	=	=	PROPN
ap-5826	271	9	i+1	i+1	X
ap-5826	271	10	(	(	PUNCT
ap-5826	271	11	nj(x	nj(x	PUNCT
ap-5826	271	12	)	)	PUNCT
ap-5826	271	13	+	+	NUM
ap-5826	271	14	nj(y	nj(y	NUM
ap-5826	271	15	)	)	PUNCT
ap-5826	271	16	)	)	PUNCT
ap-5826	272	1	ln(nj(x	ln(nj(x	PUNCT
ap-5826	272	2	)	)	PUNCT
ap-5826	273	1	+	+	CCONJ
ap-5826	273	2	nj(y	nj(y	NUM
ap-5826	273	3	)	)	PUNCT
ap-5826	273	4	)	)	PUNCT
ap-5826	274	1	h	h	NOUN
ap-5826	275	1	+	+	NOUN
ap-5826	275	2	w	w	NOUN
ap-5826	275	3	−	−	ADJ
ap-5826	275	4	2	2	NUM
ap-5826	275	5	.	.	PUNCT
ap-5826	276	1	(	(	PUNCT
ap-5826	276	2	15	15	X
ap-5826	276	3	)	)	PUNCT
ap-5826	276	4	it	it	PRON
ap-5826	276	5	gives	give	VERB
ap-5826	276	6	a	a	DET
ap-5826	276	7	pig	pig	NOUN
ap-5826	276	8	for	for	ADP
ap-5826	276	9	the	the	DET
ap-5826	276	10	cross	cross	NOUN
ap-5826	276	11	computation	computation	NOUN
ap-5826	276	12	as	as	ADP
ap-5826	276	13	γ(i	γ(i	NOUN
ap-5826	276	14	)	)	PUNCT
ap-5826	276	15	(	(	PUNCT
ap-5826	276	16	x	x	X
ap-5826	276	17	,	,	PUNCT
ap-5826	276	18	y	y	NOUN
ap-5826	276	19	)	)	PUNCT
ap-5826	276	20	=	=	SYM
ap-5826	276	21	h(x	h(x	PROPN
ap-5826	276	22	,	,	PUNCT
ap-5826	276	23	y	y	NOUN
ap-5826	276	24	)	)	PUNCT
ap-5826	276	25	−h	−h	VERB
ap-5826	276	26	(	(	PUNCT
ap-5826	276	27	i	i	NOUN
ap-5826	276	28	)	)	PUNCT
ap-5826	276	29	(	(	PUNCT
ap-5826	276	30	x	x	X
ap-5826	276	31	,	,	PUNCT
ap-5826	276	32	y	y	PROPN
ap-5826	276	33	)	)	PUNCT
ap-5826	276	34	,	,	PUNCT
ap-5826	276	35	γ(i	γ(i	NOUN
ap-5826	276	36	)	)	PUNCT
ap-5826	276	37	(	(	PUNCT
ap-5826	276	38	x	x	X
ap-5826	276	39	,	,	PUNCT
ap-5826	276	40	y	y	NOUN
ap-5826	276	41	)	)	PUNCT
ap-5826	276	42	=	=	PUNCT
ap-5826	277	1	=	=	PUNCT
ap-5826	277	2	ln	ln	ADJ
ap-5826	277	3	(	(	PUNCT
ap-5826	277	4	h	h	NOUN
ap-5826	278	1	+	+	NOUN
ap-5826	278	2	w	w	NOUN
ap-5826	278	3	−	−	PROPN
ap-5826	278	4	1	1	NUM
ap-5826	278	5	h	h	NOUN
ap-5826	279	1	+	+	NOUN
ap-5826	279	2	w	w	NOUN
ap-5826	279	3	−	−	NOUN
ap-5826	279	4	2	2	NUM
ap-5826	279	5	)	)	PUNCT
ap-5826	279	6	+	+	CCONJ
ap-5826	279	7	∑i−1	∑i−1	X
ap-5826	279	8	j=0	j=0	PROPN
ap-5826	279	9	(	(	PUNCT
ap-5826	279	10	nj(x	nj(x	PUNCT
ap-5826	279	11	)	)	PUNCT
ap-5826	279	12	+	+	NUM
ap-5826	279	13	nj(y	nj(y	NUM
ap-5826	279	14	)	)	PUNCT
ap-5826	279	15	)	)	PUNCT
ap-5826	279	16	ln(nj(x	ln(nj(x	PUNCT
ap-5826	279	17	)	)	PUNCT
ap-5826	280	1	+	+	CCONJ
ap-5826	280	2	nj(y	nj(y	NUM
ap-5826	280	3	)	)	PUNCT
ap-5826	280	4	)	)	PUNCT
ap-5826	281	1	(	(	PUNCT
ap-5826	281	2	h	h	NOUN
ap-5826	282	1	+	+	NOUN
ap-5826	282	2	w	w	NOUN
ap-5826	282	3	−	−	PROPN
ap-5826	282	4	1)(h	1)(h	NUM
ap-5826	283	1	+	+	NOUN
ap-5826	283	2	w	w	NOUN
ap-5826	283	3	−	−	NOUN
ap-5826	283	4	2	2	NUM
ap-5826	283	5	)	)	PUNCT
ap-5826	283	6	+	+	CCONJ
ap-5826	283	7	∑2d−1	∑2d−1	PUNCT
ap-5826	283	8	j	j	X
ap-5826	283	9	=	=	PROPN
ap-5826	283	10	i+1	i+1	X
ap-5826	283	11	(	(	PUNCT
ap-5826	283	12	nj(x	nj(x	PUNCT
ap-5826	283	13	)	)	PUNCT
ap-5826	284	1	+	+	NUM
ap-5826	284	2	nj(y	nj(y	NUM
ap-5826	284	3	)	)	PUNCT
ap-5826	284	4	)	)	PUNCT
ap-5826	284	5	ln(nj(x	ln(nj(x	PUNCT
ap-5826	284	6	)	)	PUNCT
ap-5826	285	1	+	+	CCONJ
ap-5826	285	2	nj(y	nj(y	NUM
ap-5826	285	3	)	)	PUNCT
ap-5826	285	4	)	)	PUNCT
ap-5826	286	1	(	(	PUNCT
ap-5826	286	2	h	h	NOUN
ap-5826	287	1	+	+	NOUN
ap-5826	287	2	w	w	NOUN
ap-5826	287	3	−	−	PROPN
ap-5826	287	4	1)(h	1)(h	NUM
ap-5826	288	1	+	+	NOUN
ap-5826	288	2	w	w	NOUN
ap-5826	288	3	−	−	NOUN
ap-5826	288	4	2	2	NUM
ap-5826	288	5	)	)	PUNCT
ap-5826	288	6	(	(	PUNCT
ap-5826	288	7	16	16	NUM
ap-5826	288	8	)	)	PUNCT
ap-5826	288	9	−	−	PROPN
ap-5826	288	10	(	(	PUNCT
ap-5826	288	11	ni(x	ni(x	NUM
ap-5826	288	12	)	)	PUNCT
ap-5826	288	13	+	+	CCONJ
ap-5826	288	14	ni(y	ni(y	NOUN
ap-5826	288	15	)	)	PUNCT
ap-5826	288	16	−	−	ADP
ap-5826	288	17	1	1	X
ap-5826	288	18	)	)	PUNCT
ap-5826	288	19	h	h	NOUN
ap-5826	289	1	+	+	NOUN
ap-5826	289	2	w	w	NOUN
ap-5826	289	3	−	−	PROPN
ap-5826	289	4	1	1	NUM
ap-5826	289	5	ln(ni(x	ln(ni(x	NOUN
ap-5826	289	6	)	)	PUNCT
ap-5826	290	1	+	+	CCONJ
ap-5826	290	2	ni(y	ni(y	NOUN
ap-5826	290	3	)	)	PUNCT
ap-5826	290	4	−	−	NUM
ap-5826	290	5	1	1	NUM
ap-5826	290	6	)	)	PUNCT
ap-5826	290	7	+	+	CCONJ
ap-5826	290	8	(	(	PUNCT
ap-5826	290	9	ni(x	ni(x	NUM
ap-5826	290	10	)	)	PUNCT
ap-5826	290	11	+	+	CCONJ
ap-5826	290	12	ni(y	ni(y	NOUN
ap-5826	290	13	)	)	PUNCT
ap-5826	290	14	−	−	ADP
ap-5826	291	1	2	2	X
ap-5826	291	2	)	)	PUNCT
ap-5826	291	3	h	h	NOUN
ap-5826	292	1	+	+	NOUN
ap-5826	292	2	w	w	NOUN
ap-5826	292	3	−	−	PROPN
ap-5826	292	4	2	2	NUM
ap-5826	292	5	ln(ni(x	ln(ni(x	NOUN
ap-5826	292	6	)	)	PUNCT
ap-5826	293	1	+	+	CCONJ
ap-5826	293	2	ni(y	ni(y	NOUN
ap-5826	293	3	)	)	PUNCT
ap-5826	293	4	−	−	ADP
ap-5826	293	5	2	2	NUM
ap-5826	293	6	)	)	PUNCT
ap-5826	293	7	.	.	PUNCT
ap-5826	294	1	let	let	VERB
ap-5826	294	2	us	we	PRON
ap-5826	294	3	introduce	introduce	VERB
ap-5826	294	4	the	the	DET
ap-5826	294	5	vector	vector	NOUN
ap-5826	294	6	t	t	PROPN
ap-5826	294	7	defined	define	VERB
ap-5826	294	8	as	as	ADP
ap-5826	294	9	t	t	PROPN
ap-5826	294	10	=[	=[	PROPN
ap-5826	294	11	t(0	t(0	PROPN
ap-5826	294	12	)	)	PUNCT
ap-5826	294	13	,	,	PUNCT
ap-5826	294	14	t(1	t(1	NOUN
ap-5826	294	15	)	)	PUNCT
ap-5826	294	16	,	,	PUNCT
ap-5826	294	17	t(2	t(2	PROPN
ap-5826	294	18	)	)	PUNCT
ap-5826	294	19	,	,	PUNCT
ap-5826	294	20	.	.	PUNCT
ap-5826	294	21	.	.	PUNCT
ap-5826	295	1	.	.	PUNCT
ap-5826	296	1	,	,	PUNCT
ap-5826	297	1	t(h+w	t(h+w	NOUN
ap-5826	297	2	−1	−1	NOUN
ap-5826	297	3	)	)	PUNCT
ap-5826	297	4	]	]	PUNCT
ap-5826	298	1	=	=	PUNCT
ap-5826	298	2	=[	=[	NOUN
ap-5826	298	3	0	0	NUM
ap-5826	298	4	ln(0	ln(0	PROPN
ap-5826	298	5	)	)	PUNCT
ap-5826	298	6	,	,	PUNCT
ap-5826	298	7	1	1	NUM
ap-5826	298	8	ln(1	ln(1	NOUN
ap-5826	298	9	)	)	PUNCT
ap-5826	298	10	,	,	PUNCT
ap-5826	298	11	2	2	NUM
ap-5826	298	12	ln(2	ln(2	NOUN
ap-5826	298	13	)	)	PUNCT
ap-5826	298	14	,	,	PUNCT
ap-5826	298	15	.	.	PUNCT
ap-5826	298	16	.	.	PUNCT
ap-5826	298	17	.	.	PUNCT
ap-5826	299	1	,	,	PUNCT
ap-5826	299	2	(	(	PUNCT
ap-5826	299	3	h	h	NOUN
ap-5826	300	1	+	+	NOUN
ap-5826	300	2	w	w	NOUN
ap-5826	300	3	−	−	NOUN
ap-5826	300	4	1	1	NUM
ap-5826	300	5	)	)	PUNCT
ap-5826	300	6	ln(h	ln(h	VERB
ap-5826	301	1	+	+	PROPN
ap-5826	301	2	w	w	NOUN
ap-5826	301	3	−	−	NOUN
ap-5826	301	4	1	1	NUM
ap-5826	301	5	)	)	PUNCT
ap-5826	301	6	]	]	PUNCT
ap-5826	301	7	.	.	PUNCT
ap-5826	302	1	then	then	ADV
ap-5826	302	2	,	,	PUNCT
ap-5826	302	3	eq	eq	NOUN
ap-5826	302	4	.	.	PUNCT
ap-5826	303	1	(	(	PUNCT
ap-5826	303	2	16	16	NUM
ap-5826	303	3	)	)	PUNCT
ap-5826	303	4	can	can	AUX
ap-5826	303	5	be	be	AUX
ap-5826	303	6	written	write	VERB
ap-5826	303	7	as	as	ADP
ap-5826	303	8	γ(i	γ(i	NOUN
ap-5826	303	9	)	)	PUNCT
ap-5826	303	10	(	(	PUNCT
ap-5826	303	11	x	x	X
ap-5826	303	12	,	,	PUNCT
ap-5826	303	13	y	y	NOUN
ap-5826	303	14	)	)	PUNCT
ap-5826	303	15	=	=	PUNCT
ap-5826	304	1	=	=	PUNCT
ap-5826	304	2	ln	ln	ADJ
ap-5826	304	3	(	(	PUNCT
ap-5826	304	4	h	h	NOUN
ap-5826	305	1	+	+	NOUN
ap-5826	305	2	w	w	NOUN
ap-5826	305	3	−	−	PROPN
ap-5826	305	4	1	1	NUM
ap-5826	305	5	h	h	NOUN
ap-5826	306	1	+	+	NOUN
ap-5826	306	2	w	w	NOUN
ap-5826	306	3	−	−	NOUN
ap-5826	306	4	2	2	NUM
ap-5826	306	5	)	)	PUNCT
ap-5826	306	6	+	+	CCONJ
ap-5826	306	7	∑i−1	∑i−1	X
ap-5826	306	8	j=0	j=0	PROPN
ap-5826	306	9	t(nj(x)+nj(y	t(nj(x)+nj(y	NUM
ap-5826	306	10	)	)	PUNCT
ap-5826	306	11	)	)	PUNCT
ap-5826	306	12	(	(	PUNCT
ap-5826	306	13	h	h	NOUN
ap-5826	307	1	+	+	NOUN
ap-5826	307	2	w	w	NOUN
ap-5826	307	3	−	−	PROPN
ap-5826	307	4	1)(h	1)(h	NUM
ap-5826	308	1	+	+	NOUN
ap-5826	308	2	w	w	NOUN
ap-5826	308	3	−	−	NOUN
ap-5826	308	4	2	2	NUM
ap-5826	308	5	)	)	PUNCT
ap-5826	308	6	(	(	PUNCT
ap-5826	308	7	17	17	NUM
ap-5826	308	8	)	)	PUNCT
ap-5826	308	9	+	+	CCONJ
ap-5826	309	1	∑2d−1	∑2d−1	PUNCT
ap-5826	309	2	j	j	X
ap-5826	309	3	=	=	PROPN
ap-5826	309	4	i+1	i+1	NOUN
ap-5826	309	5	t(nj(x)+nj(y	t(nj(x)+nj(y	ADJ
ap-5826	309	6	)	)	PUNCT
ap-5826	309	7	)	)	PUNCT
ap-5826	310	1	(	(	PUNCT
ap-5826	310	2	h	h	NOUN
ap-5826	311	1	+	+	NOUN
ap-5826	311	2	w	w	NOUN
ap-5826	311	3	−	−	PROPN
ap-5826	311	4	1)(h	1)(h	NUM
ap-5826	312	1	+	+	NOUN
ap-5826	312	2	w	w	NOUN
ap-5826	312	3	−	−	PROPN
ap-5826	312	4	2	2	NUM
ap-5826	312	5	)	)	PUNCT
ap-5826	312	6	−	−	PROPN
ap-5826	312	7	t(ni(x)+ni(y)−1	t(ni(x)+ni(y)−1	NOUN
ap-5826	312	8	)	)	PUNCT
ap-5826	312	9	h	h	NOUN
ap-5826	313	1	+	+	NOUN
ap-5826	313	2	w	w	NOUN
ap-5826	313	3	−	−	NUM
ap-5826	313	4	1	1	NUM
ap-5826	313	5	+	+	CCONJ
ap-5826	313	6	t(ni(x)+ni(y)−2	t(ni(x)+ni(y)−2	ADV
ap-5826	314	1	)	)	PUNCT
ap-5826	314	2	h	h	NOUN
ap-5826	315	1	+	+	PROPN
ap-5826	315	2	w	w	NOUN
ap-5826	315	3	−	−	ADJ
ap-5826	315	4	2	2	NUM
ap-5826	315	5	.	.	PUNCT
ap-5826	316	1	597	597	NUM
ap-5826	316	2	j.	j.	PROPN
ap-5826	316	3	urban	urban	PROPN
ap-5826	316	4	,	,	PUNCT
ap-5826	316	5	r.	r.	PROPN
ap-5826	316	6	rychtáriková	rychtáriková	PROPN
ap-5826	316	7	,	,	PUNCT
ap-5826	316	8	p.	p.	PROPN
ap-5826	316	9	macháček	macháček	PROPN
ap-5826	316	10	et	et	PROPN
ap-5826	316	11	al	al	PROPN
ap-5826	316	12	.	.	PROPN
ap-5826	316	13	acta	acta	PROPN
ap-5826	316	14	polytechnica	polytechnica	PROPN
ap-5826	316	15	in	in	ADP
ap-5826	316	16	this	this	DET
ap-5826	316	17	way	way	NOUN
ap-5826	316	18	,	,	PUNCT
ap-5826	316	19	the	the	DET
ap-5826	316	20	time	time	NOUN
ap-5826	316	21	consuming	consume	VERB
ap-5826	316	22	computation	computation	NOUN
ap-5826	316	23	of	of	ADP
ap-5826	316	24	the	the	DET
ap-5826	316	25	logarithms	logarithm	NOUN
ap-5826	316	26	was	be	AUX
ap-5826	316	27	replaced	replace	VERB
ap-5826	316	28	by	by	ADP
ap-5826	316	29	the	the	DET
ap-5826	316	30	summing	summing	NOUN
ap-5826	316	31	of	of	ADP
ap-5826	316	32	precomputed	precompute	VERB
ap-5826	316	33	vectors	vector	NOUN
ap-5826	316	34	k	k	PROPN
ap-5826	316	35	ln(k	ln(k	PROPN
ap-5826	316	36	)	)	PUNCT
ap-5826	316	37	.	.	PUNCT
ap-5826	317	1	the	the	DET
ap-5826	317	2	length	length	NOUN
ap-5826	317	3	of	of	ADP
ap-5826	317	4	the	the	DET
ap-5826	317	5	vector	vector	NOUN
ap-5826	317	6	t	t	PROPN
ap-5826	317	7	does	do	AUX
ap-5826	317	8	not	not	PART
ap-5826	317	9	depend	depend	VERB
ap-5826	317	10	on	on	ADP
ap-5826	317	11	the	the	DET
ap-5826	317	12	number	number	NOUN
ap-5826	317	13	of	of	ADP
ap-5826	317	14	pixels	pixel	NOUN
ap-5826	317	15	in	in	ADP
ap-5826	317	16	the	the	DET
ap-5826	317	17	image	image	NOUN
ap-5826	317	18	but	but	CCONJ
ap-5826	317	19	on	on	ADP
ap-5826	317	20	the	the	DET
ap-5826	317	21	dimensions	dimension	NOUN
ap-5826	317	22	(	(	PUNCT
ap-5826	317	23	sizes	size	NOUN
ap-5826	317	24	of	of	ADP
ap-5826	317	25	the	the	DET
ap-5826	317	26	sides	side	NOUN
ap-5826	317	27	)	)	PUNCT
ap-5826	317	28	of	of	ADP
ap-5826	317	29	the	the	DET
ap-5826	317	30	image	image	NOUN
ap-5826	317	31	.	.	PUNCT
ap-5826	318	1	the	the	DET
ap-5826	318	2	number	number	NOUN
ap-5826	318	3	of	of	ADP
ap-5826	318	4	rows	row	NOUN
ap-5826	318	5	and	and	CCONJ
ap-5826	318	6	columns	column	NOUN
ap-5826	318	7	of	of	ADP
ap-5826	318	8	the	the	DET
ap-5826	318	9	image	image	NOUN
ap-5826	318	10	determines	determine	VERB
ap-5826	318	11	how	how	SCONJ
ap-5826	318	12	many	many	ADJ
ap-5826	318	13	points	point	NOUN
ap-5826	318	14	in	in	ADP
ap-5826	318	15	the	the	DET
ap-5826	318	16	histogram	histogram	NOUN
ap-5826	318	17	created	create	VERB
ap-5826	318	18	from	from	ADP
ap-5826	318	19	the	the	DET
ap-5826	318	20	cross	cross	NOUN
ap-5826	318	21	is	be	AUX
ap-5826	318	22	available	available	ADJ
ap-5826	318	23	.	.	PUNCT
ap-5826	319	1	it	it	PRON
ap-5826	319	2	is	be	AUX
ap-5826	319	3	,	,	PUNCT
ap-5826	319	4	however	however	ADV
ap-5826	319	5	,	,	PUNCT
ap-5826	319	6	possible	possible	ADJ
ap-5826	319	7	that	that	SCONJ
ap-5826	319	8	some	some	DET
ap-5826	319	9	values	value	NOUN
ap-5826	319	10	in	in	ADP
ap-5826	319	11	the	the	DET
ap-5826	319	12	vector	vector	NOUN
ap-5826	319	13	t	t	PROPN
ap-5826	319	14	will	will	AUX
ap-5826	319	15	never	never	ADV
ap-5826	319	16	be	be	AUX
ap-5826	319	17	used	use	VERB
ap-5826	319	18	in	in	ADP
ap-5826	319	19	the	the	DET
ap-5826	319	20	computation	computation	NOUN
ap-5826	319	21	.	.	PUNCT
ap-5826	320	1	nevertheless	nevertheless	ADV
ap-5826	320	2	,	,	PUNCT
ap-5826	320	3	due	due	ADP
ap-5826	320	4	to	to	ADP
ap-5826	320	5	the	the	DET
ap-5826	320	6	possibility	possibility	NOUN
ap-5826	320	7	of	of	ADP
ap-5826	320	8	searching	search	VERB
ap-5826	320	9	in	in	ADP
ap-5826	320	10	the	the	DET
ap-5826	320	11	list	list	NOUN
ap-5826	320	12	of	of	ADP
ap-5826	320	13	all	all	PRON
ap-5826	320	14	stored	store	VERB
ap-5826	320	15	k	k	PROPN
ap-5826	320	16	ln(k	ln(k	NUM
ap-5826	320	17	)	)	PUNCT
ap-5826	320	18	,	,	PUNCT
ap-5826	320	19	the	the	DET
ap-5826	320	20	approach	approach	NOUN
ap-5826	320	21	of	of	ADP
ap-5826	320	22	the	the	DET
ap-5826	320	23	precomputed	precompute	VERB
ap-5826	320	24	histograms	histogram	NOUN
ap-5826	320	25	makes	make	VERB
ap-5826	320	26	the	the	DET
ap-5826	320	27	computation	computation	NOUN
ap-5826	320	28	faster	fast	ADV
ap-5826	320	29	.	.	PUNCT
ap-5826	321	1	eq	eq	X
ap-5826	321	2	.	.	PUNCT
ap-5826	322	1	(	(	PUNCT
ap-5826	322	2	17	17	NUM
ap-5826	322	3	)	)	PUNCT
ap-5826	322	4	implicates	implicate	VERB
ap-5826	322	5	γ(i	γ(i	NOUN
ap-5826	322	6	)	)	PUNCT
ap-5826	322	7	(	(	PUNCT
ap-5826	322	8	x	x	X
ap-5826	322	9	,	,	PUNCT
ap-5826	322	10	y	y	NOUN
ap-5826	322	11	)	)	PUNCT
ap-5826	322	12	=	=	SYM
ap-5826	322	13	c(x	c(x	NOUN
ap-5826	322	14	,	,	PUNCT
ap-5826	322	15	y	y	NOUN
ap-5826	322	16	)	)	PUNCT
ap-5826	323	1	+	+	NOUN
ap-5826	323	2	b(x	b(x	ADJ
ap-5826	323	3	,	,	PUNCT
ap-5826	323	4	y	y	NOUN
ap-5826	323	5	)	)	PUNCT
ap-5826	324	1	+	+	CCONJ
ap-5826	324	2	f	f	X
ap-5826	324	3	(	(	PUNCT
ap-5826	324	4	x	x	X
ap-5826	324	5	,	,	PUNCT
ap-5826	324	6	y	y	PROPN
ap-5826	324	7	)	)	PUNCT
ap-5826	324	8	;	;	PUNCT
ap-5826	324	9	c(x	c(x	NOUN
ap-5826	324	10	,	,	PUNCT
ap-5826	324	11	y	y	NOUN
ap-5826	324	12	)	)	PUNCT
ap-5826	324	13	=	=	SYM
ap-5826	325	1	ln	ln	ADJ
ap-5826	325	2	(	(	PUNCT
ap-5826	325	3	h	h	NOUN
ap-5826	326	1	+	+	NOUN
ap-5826	326	2	w	w	NOUN
ap-5826	326	3	−	−	PROPN
ap-5826	326	4	1	1	NUM
ap-5826	326	5	h	h	NOUN
ap-5826	327	1	+	+	NOUN
ap-5826	327	2	w	w	NOUN
ap-5826	327	3	−	−	NOUN
ap-5826	327	4	2	2	NUM
ap-5826	327	5	)	)	PUNCT
ap-5826	327	6	;	;	PUNCT
ap-5826	327	7	b(x	b(x	NOUN
ap-5826	327	8	,	,	PUNCT
ap-5826	327	9	y	y	NOUN
ap-5826	327	10	)	)	PUNCT
ap-5826	328	1	=	=	SYM
ap-5826	328	2	∑i−1	∑i−1	X
ap-5826	328	3	j=0	j=0	PROPN
ap-5826	328	4	(	(	PUNCT
ap-5826	328	5	nj(x	nj(x	PUNCT
ap-5826	328	6	)	)	PUNCT
ap-5826	328	7	+	+	NUM
ap-5826	328	8	nj(y	nj(y	NUM
ap-5826	328	9	)	)	PUNCT
ap-5826	328	10	)	)	PUNCT
ap-5826	328	11	ln(nj(x	ln(nj(x	PUNCT
ap-5826	328	12	)	)	PUNCT
ap-5826	329	1	+	+	CCONJ
ap-5826	329	2	nj(y	nj(y	NUM
ap-5826	329	3	)	)	PUNCT
ap-5826	329	4	)	)	PUNCT
ap-5826	330	1	(	(	PUNCT
ap-5826	330	2	h	h	NOUN
ap-5826	331	1	+	+	NOUN
ap-5826	331	2	w	w	NOUN
ap-5826	331	3	−	−	PROPN
ap-5826	331	4	1)(h	1)(h	NUM
ap-5826	332	1	+	+	NOUN
ap-5826	332	2	w	w	NOUN
ap-5826	332	3	−	−	NOUN
ap-5826	332	4	2	2	NUM
ap-5826	332	5	)	)	PUNCT
ap-5826	332	6	+	+	CCONJ
ap-5826	332	7	∑2d−1	∑2d−1	PUNCT
ap-5826	332	8	j	j	X
ap-5826	332	9	=	=	PROPN
ap-5826	332	10	i+1	i+1	X
ap-5826	332	11	(	(	PUNCT
ap-5826	332	12	nj(x	nj(x	PUNCT
ap-5826	332	13	)	)	PUNCT
ap-5826	333	1	+	+	NUM
ap-5826	333	2	nj(y	nj(y	NUM
ap-5826	333	3	)	)	PUNCT
ap-5826	333	4	)	)	PUNCT
ap-5826	333	5	ln(nj(x	ln(nj(x	PUNCT
ap-5826	333	6	)	)	PUNCT
ap-5826	334	1	+	+	CCONJ
ap-5826	334	2	nj(y	nj(y	NUM
ap-5826	334	3	)	)	PUNCT
ap-5826	334	4	)	)	PUNCT
ap-5826	335	1	(	(	PUNCT
ap-5826	335	2	h	h	NOUN
ap-5826	336	1	+	+	NOUN
ap-5826	336	2	w	w	NOUN
ap-5826	336	3	−	−	PROPN
ap-5826	336	4	1)(h	1)(h	NUM
ap-5826	337	1	+	+	NOUN
ap-5826	337	2	w	w	NOUN
ap-5826	337	3	−	−	NOUN
ap-5826	337	4	2	2	NUM
ap-5826	337	5	)	)	PUNCT
ap-5826	337	6	;	;	PUNCT
ap-5826	337	7	(	(	PUNCT
ap-5826	337	8	18	18	NUM
ap-5826	337	9	)	)	PUNCT
ap-5826	337	10	fi	fi	NOUN
ap-5826	337	11	=	=	NOUN
ap-5826	337	12	(	(	PUNCT
ap-5826	337	13	ni(x	ni(x	NUM
ap-5826	337	14	)	)	PUNCT
ap-5826	338	1	+	+	CCONJ
ap-5826	338	2	ni(y	ni(y	NOUN
ap-5826	338	3	)	)	PUNCT
ap-5826	338	4	−	−	ADP
ap-5826	338	5	2	2	NUM
ap-5826	338	6	)	)	PUNCT
ap-5826	338	7	ln(ni(x	ln(ni(x	NUM
ap-5826	338	8	)	)	PUNCT
ap-5826	339	1	+	+	CCONJ
ap-5826	339	2	ni(y	ni(y	NOUN
ap-5826	339	3	)	)	PUNCT
ap-5826	339	4	−	−	ADP
ap-5826	339	5	2	2	X
ap-5826	339	6	)	)	PUNCT
ap-5826	339	7	h	h	NOUN
ap-5826	340	1	+	+	NOUN
ap-5826	340	2	w	w	NOUN
ap-5826	340	3	−	−	ADJ
ap-5826	340	4	2	2	NUM
ap-5826	340	5	−	−	PROPN
ap-5826	340	6	(	(	PUNCT
ap-5826	340	7	ni(x	ni(x	NUM
ap-5826	340	8	)	)	PUNCT
ap-5826	341	1	+	+	CCONJ
ap-5826	341	2	ni(y	ni(y	NOUN
ap-5826	341	3	)	)	PUNCT
ap-5826	341	4	−	−	NUM
ap-5826	341	5	1	1	NUM
ap-5826	341	6	)	)	PUNCT
ap-5826	341	7	ln(ni(x	ln(ni(x	NUM
ap-5826	341	8	)	)	PUNCT
ap-5826	342	1	+	+	CCONJ
ap-5826	342	2	ni(y	ni(y	NOUN
ap-5826	342	3	)	)	PUNCT
ap-5826	342	4	−	−	ADP
ap-5826	342	5	1	1	X
ap-5826	342	6	)	)	PUNCT
ap-5826	342	7	h	h	NOUN
ap-5826	343	1	+	+	NOUN
ap-5826	343	2	w	w	NOUN
ap-5826	343	3	−	−	NOUN
ap-5826	343	4	1	1	NUM
ap-5826	343	5	.	.	PUNCT
ap-5826	344	1	in	in	ADP
ap-5826	344	2	eq	eq	NOUN
ap-5826	344	3	.	.	PROPN
ap-5826	344	4	18	18	NUM
ap-5826	344	5	the	the	DET
ap-5826	344	6	term	term	NOUN
ap-5826	344	7	c(x	c(x	NOUN
ap-5826	344	8	,	,	PUNCT
ap-5826	344	9	y	y	PROPN
ap-5826	344	10	)	)	PUNCT
ap-5826	344	11	is	be	AUX
ap-5826	344	12	a	a	DET
ap-5826	344	13	constant	constant	ADJ
ap-5826	344	14	,	,	PUNCT
ap-5826	344	15	the	the	DET
ap-5826	344	16	b(x	b(x	NOUN
ap-5826	344	17	,	,	PUNCT
ap-5826	344	18	y	y	NOUN
ap-5826	344	19	)	)	PUNCT
ap-5826	344	20	is	be	AUX
ap-5826	344	21	a	a	DET
ap-5826	344	22	base	base	NOUN
ap-5826	344	23	of	of	ADP
ap-5826	344	24	the	the	DET
ap-5826	344	25	computation	computation	NOUN
ap-5826	344	26	,	,	PUNCT
ap-5826	344	27	and	and	CCONJ
ap-5826	344	28	the	the	DET
ap-5826	344	29	fi	fi	NOUN
ap-5826	344	30	corresponds	correspond	VERB
ap-5826	344	31	to	to	ADP
ap-5826	344	32	a	a	DET
ap-5826	344	33	fluctuating	fluctuate	VERB
ap-5826	344	34	part	part	NOUN
ap-5826	344	35	of	of	ADP
ap-5826	344	36	the	the	DET
ap-5826	344	37	computation	computation	NOUN
ap-5826	344	38	.	.	PUNCT
ap-5826	345	1	5	5	X
ap-5826	345	2	.	.	X
ap-5826	345	3	implementation	implementation	NOUN
ap-5826	345	4	on	on	ADP
ap-5826	345	5	gpu	gpu	X
ap-5826	345	6	the	the	DET
ap-5826	345	7	algorithm	algorithm	NOUN
ap-5826	345	8	optimised	optimise	VERB
ap-5826	345	9	above	above	ADV
ap-5826	345	10	can	can	AUX
ap-5826	345	11	be	be	AUX
ap-5826	345	12	further	far	ADV
ap-5826	345	13	split	split	VERB
ap-5826	345	14	into	into	ADP
ap-5826	345	15	a	a	DET
ap-5826	345	16	few	few	ADJ
ap-5826	345	17	threads	thread	NOUN
ap-5826	345	18	when	when	SCONJ
ap-5826	345	19	multi	multi	ADJ
ap-5826	345	20	-	-	ADJ
ap-5826	345	21	core	core	ADJ
ap-5826	345	22	cpus	cpu	NOUN
ap-5826	345	23	can	can	AUX
ap-5826	345	24	be	be	AUX
ap-5826	345	25	fully	fully	ADV
ap-5826	345	26	utilized	utilize	VERB
ap-5826	345	27	,	,	PUNCT
ap-5826	345	28	however	however	ADV
ap-5826	345	29	this	this	PRON
ap-5826	345	30	is	be	AUX
ap-5826	345	31	relevant	relevant	ADJ
ap-5826	345	32	mainly	mainly	ADV
ap-5826	345	33	for	for	ADP
ap-5826	345	34	batch	batch	NOUN
ap-5826	345	35	processing	processing	NOUN
ap-5826	345	36	of	of	ADP
ap-5826	345	37	image	image	NOUN
ap-5826	345	38	sets	set	NOUN
ap-5826	345	39	.	.	PUNCT
ap-5826	346	1	the	the	DET
ap-5826	346	2	computation	computation	NOUN
ap-5826	346	3	process	process	NOUN
ap-5826	346	4	was	be	AUX
ap-5826	346	5	further	far	ADV
ap-5826	346	6	optimized	optimize	VERB
ap-5826	346	7	by	by	ADP
ap-5826	346	8	an	an	DET
ap-5826	346	9	implementation	implementation	NOUN
ap-5826	346	10	on	on	ADP
ap-5826	346	11	graphics	graphic	NOUN
ap-5826	346	12	cards	card	NOUN
ap-5826	346	13	[	[	X
ap-5826	346	14	30	30	NUM
ap-5826	346	15	]	]	PUNCT
ap-5826	346	16	.	.	PUNCT
ap-5826	347	1	the	the	DET
ap-5826	347	2	algorithm	algorithm	NOUN
ap-5826	347	3	was	be	AUX
ap-5826	347	4	executed	execute	VERB
ap-5826	347	5	using	use	VERB
ap-5826	347	6	the	the	DET
ap-5826	347	7	cuda	cuda	NOUN
ap-5826	347	8	architecture	architecture	NOUN
ap-5826	347	9	to	to	PART
ap-5826	347	10	run	run	VERB
ap-5826	347	11	on	on	ADP
ap-5826	347	12	nvidia	nvidia	PROPN
ap-5826	347	13	hardware	hardware	NOUN
ap-5826	347	14	.	.	PUNCT
ap-5826	348	1	the	the	DET
ap-5826	348	2	key	key	NOUN
ap-5826	348	3	to	to	ADP
ap-5826	348	4	the	the	DET
ap-5826	348	5	next	next	ADJ
ap-5826	348	6	acceleration	acceleration	NOUN
ap-5826	348	7	was	be	AUX
ap-5826	348	8	to	to	PART
ap-5826	348	9	fit	fit	VERB
ap-5826	348	10	the	the	DET
ap-5826	348	11	algorithm	algorithm	NOUN
ap-5826	348	12	to	to	PART
ap-5826	348	13	gpu	gpu	VERB
ap-5826	348	14	highly	highly	ADV
ap-5826	348	15	-	-	PUNCT
ap-5826	348	16	parallel	parallel	ADJ
ap-5826	348	17	architecture	architecture	NOUN
ap-5826	348	18	which	which	PRON
ap-5826	348	19	is	be	AUX
ap-5826	348	20	typical	typical	ADJ
ap-5826	348	21	of	of	ADP
ap-5826	348	22	a	a	DET
ap-5826	348	23	double	double	ADJ
ap-5826	348	24	hierarchy	hierarchy	NOUN
ap-5826	348	25	.	.	PUNCT
ap-5826	349	1	all	all	DET
ap-5826	349	2	multiprocessors	multiprocessor	NOUN
ap-5826	349	3	can	can	AUX
ap-5826	349	4	access	access	VERB
ap-5826	349	5	data	datum	NOUN
ap-5826	349	6	to	to	ADP
ap-5826	349	7	the	the	DET
ap-5826	349	8	device	device	NOUN
ap-5826	349	9	memory	memory	NOUN
ap-5826	349	10	.	.	PUNCT
ap-5826	350	1	in	in	ADP
ap-5826	350	2	the	the	DET
ap-5826	350	3	cuda	cuda	PROPN
ap-5826	350	4	data	data	NOUN
ap-5826	350	5	-	-	PUNCT
ap-5826	350	6	parallel	parallel	NOUN
ap-5826	350	7	programming	programming	NOUN
ap-5826	350	8	,	,	PUNCT
ap-5826	350	9	the	the	DET
ap-5826	350	10	data	data	NOUN
ap-5826	350	11	has	have	VERB
ap-5826	350	12	to	to	PART
ap-5826	350	13	be	be	AUX
ap-5826	350	14	split	split	VERB
ap-5826	350	15	into	into	ADP
ap-5826	350	16	two	two	NUM
ap-5826	350	17	levels	level	NOUN
ap-5826	350	18	of	of	ADP
ap-5826	350	19	algorithmically	algorithmically	ADV
ap-5826	350	20	independent	independent	ADJ
ap-5826	350	21	parts	part	NOUN
ap-5826	350	22	,	,	PUNCT
ap-5826	350	23	into	into	ADP
ap-5826	350	24	a	a	DET
ap-5826	350	25	grid	grid	NOUN
ap-5826	350	26	of	of	ADP
ap-5826	350	27	blocks	block	NOUN
ap-5826	350	28	where	where	SCONJ
ap-5826	350	29	a	a	DET
ap-5826	350	30	kernel	kernel	NOUN
ap-5826	350	31	processes	process	VERB
ap-5826	350	32	the	the	DET
ap-5826	350	33	block	block	NOUN
ap-5826	350	34	with	with	ADP
ap-5826	350	35	the	the	DET
ap-5826	350	36	same	same	ADJ
ap-5826	350	37	algorithm	algorithm	NOUN
ap-5826	350	38	.	.	PUNCT
ap-5826	351	1	during	during	ADP
ap-5826	351	2	the	the	DET
ap-5826	351	3	processing	processing	NOUN
ap-5826	351	4	of	of	ADP
ap-5826	351	5	the	the	DET
ap-5826	351	6	block	block	NOUN
ap-5826	351	7	,	,	PUNCT
ap-5826	351	8	several	several	ADJ
ap-5826	351	9	threads	thread	NOUN
ap-5826	351	10	run	run	VERB
ap-5826	351	11	–	–	PUNCT
ap-5826	351	12	the	the	DET
ap-5826	351	13	second	second	ADJ
ap-5826	351	14	level	level	NOUN
ap-5826	351	15	of	of	ADP
ap-5826	351	16	the	the	DET
ap-5826	351	17	hierarchy	hierarchy	NOUN
ap-5826	351	18	.	.	PUNCT
ap-5826	352	1	all	all	DET
ap-5826	352	2	threads	thread	NOUN
ap-5826	352	3	of	of	ADP
ap-5826	352	4	one	one	NUM
ap-5826	352	5	block	block	NOUN
ap-5826	352	6	run	run	NOUN
ap-5826	352	7	per	per	ADP
ap-5826	352	8	one	one	NUM
ap-5826	352	9	multiprocessor	multiprocessor	NOUN
ap-5826	352	10	.	.	PUNCT
ap-5826	353	1	the	the	DET
ap-5826	353	2	iiep	iiep	PROPN
ap-5826	353	3	software	software	NOUN
ap-5826	353	4	tries	try	VERB
ap-5826	353	5	to	to	PART
ap-5826	353	6	detect	detect	VERB
ap-5826	353	7	the	the	DET
ap-5826	353	8	graphics	graphic	NOUN
ap-5826	353	9	card	card	NOUN
ap-5826	353	10	with	with	ADP
ap-5826	353	11	the	the	DET
ap-5826	353	12	cuda	cuda	NOUN
ap-5826	353	13	support	support	NOUN
ap-5826	353	14	and	and	CCONJ
ap-5826	353	15	,	,	PUNCT
ap-5826	353	16	if	if	SCONJ
ap-5826	353	17	the	the	DET
ap-5826	353	18	card	card	NOUN
ap-5826	353	19	is	be	AUX
ap-5826	353	20	available	available	ADJ
ap-5826	353	21	,	,	PUNCT
ap-5826	353	22	the	the	DET
ap-5826	353	23	calculation	calculation	NOUN
ap-5826	353	24	is	be	AUX
ap-5826	353	25	realised	realise	VERB
ap-5826	353	26	as	as	ADP
ap-5826	353	27	the	the	DET
ap-5826	353	28	parallel	parallel	ADJ
ap-5826	353	29	computation	computation	NOUN
ap-5826	353	30	on	on	ADP
ap-5826	353	31	the	the	DET
ap-5826	353	32	graphics	graphic	NOUN
ap-5826	353	33	card	card	NOUN
ap-5826	353	34	kernels	kernel	NOUN
ap-5826	353	35	(	(	PUNCT
ap-5826	353	36	gpu	gpu	NOUN
ap-5826	353	37	)	)	PUNCT
ap-5826	353	38	.	.	PUNCT
ap-5826	354	1	depending	depend	VERB
ap-5826	354	2	on	on	ADP
ap-5826	354	3	the	the	DET
ap-5826	354	4	image	image	NOUN
ap-5826	354	5	resolution	resolution	NOUN
ap-5826	354	6	and	and	CCONJ
ap-5826	354	7	the	the	DET
ap-5826	354	8	type	type	NOUN
ap-5826	354	9	of	of	ADP
ap-5826	354	10	the	the	DET
ap-5826	354	11	entropy	entropy	NOUN
ap-5826	354	12	calculation	calculation	NOUN
ap-5826	354	13	,	,	PUNCT
ap-5826	354	14	the	the	DET
ap-5826	354	15	calculation	calculation	NOUN
ap-5826	354	16	is	be	AUX
ap-5826	354	17	typically	typically	ADV
ap-5826	354	18	50–150×	50–150×	NUM
ap-5826	354	19	faster	fast	ADV
ap-5826	354	20	on	on	ADP
ap-5826	354	21	the	the	DET
ap-5826	354	22	gpu	gpu	NOUN
ap-5826	354	23	than	than	ADP
ap-5826	354	24	on	on	ADP
ap-5826	354	25	the	the	DET
ap-5826	354	26	cpu	cpu	NOUN
ap-5826	354	27	.	.	PUNCT
ap-5826	355	1	the	the	DET
ap-5826	355	2	original	original	ADJ
ap-5826	355	3	concept	concept	NOUN
ap-5826	355	4	of	of	ADP
ap-5826	355	5	the	the	DET
ap-5826	355	6	software	software	NOUN
ap-5826	355	7	expected	expect	VERB
ap-5826	355	8	an	an	DET
ap-5826	355	9	8	8	NUM
ap-5826	355	10	-	-	PUNCT
ap-5826	355	11	bpc	bpc	PROPN
ap-5826	355	12	(	(	PUNCT
ap-5826	355	13	bits	bit	NOUN
ap-5826	355	14	per	per	ADP
ap-5826	355	15	channel	channel	NOUN
ap-5826	355	16	)	)	PUNCT
ap-5826	355	17	images	image	NOUN
ap-5826	355	18	(	(	PUNCT
ap-5826	355	19	which	which	PRON
ap-5826	355	20	could	could	AUX
ap-5826	355	21	be	be	AUX
ap-5826	355	22	optimized	optimize	VERB
ap-5826	355	23	directly	directly	ADV
ap-5826	355	24	for	for	ADP
ap-5826	355	25	the	the	DET
ap-5826	355	26	gpu	gpu	NOUN
ap-5826	355	27	memory	memory	NOUN
ap-5826	355	28	block	block	NOUN
ap-5826	355	29	)	)	PUNCT
ap-5826	355	30	,	,	PUNCT
ap-5826	355	31	while	while	SCONJ
ap-5826	355	32	the	the	DET
ap-5826	355	33	current	current	ADJ
ap-5826	355	34	cameras	camera	NOUN
ap-5826	355	35	are	be	AUX
ap-5826	355	36	also	also	ADV
ap-5826	355	37	able	able	ADJ
ap-5826	355	38	to	to	PART
ap-5826	355	39	provide	provide	VERB
ap-5826	355	40	raw	raw	ADJ
ap-5826	355	41	file	file	NOUN
ap-5826	355	42	formats	format	NOUN
ap-5826	355	43	with	with	ADP
ap-5826	355	44	≥10	≥10	PROPN
ap-5826	355	45	bpc	bpc	PROPN
ap-5826	355	46	(	(	PUNCT
ap-5826	355	47	which	which	PRON
ap-5826	355	48	requires	require	VERB
ap-5826	355	49	a	a	DET
ap-5826	355	50	different	different	ADJ
ap-5826	355	51	gpu	gpu	NOUN
ap-5826	355	52	static	static	ADJ
ap-5826	355	53	-	-	PUNCT
ap-5826	355	54	field	field	NOUN
ap-5826	355	55	allocation	allocation	NOUN
ap-5826	355	56	)	)	PUNCT
ap-5826	355	57	.	.	PUNCT
ap-5826	356	1	the	the	DET
ap-5826	356	2	possibility	possibility	NOUN
ap-5826	356	3	to	to	PART
ap-5826	356	4	work	work	VERB
ap-5826	356	5	with	with	ADP
ap-5826	356	6	the	the	DET
ap-5826	356	7	raw	raw	ADJ
ap-5826	356	8	data	data	NOUN
ap-5826	356	9	files	file	NOUN
ap-5826	356	10	deals	deal	NOUN
ap-5826	356	11	with	with	ADP
ap-5826	356	12	signal	signal	ADJ
ap-5826	356	13	processing	processing	NOUN
ap-5826	356	14	without	without	ADP
ap-5826	356	15	debayerization	debayerization	NOUN
ap-5826	356	16	[	[	X
ap-5826	356	17	14	14	NUM
ap-5826	356	18	]	]	SYM
ap-5826	356	19	.	.	PUNCT
ap-5826	357	1	6	6	X
ap-5826	357	2	.	.	X
ap-5826	357	3	conclusion	conclusion	NOUN
ap-5826	357	4	we	we	PRON
ap-5826	357	5	investigated	investigate	VERB
ap-5826	357	6	the	the	DET
ap-5826	357	7	degree	degree	NOUN
ap-5826	357	8	of	of	ADP
ap-5826	357	9	modality	modality	NOUN
ap-5826	357	10	for	for	ADP
ap-5826	357	11	a	a	DET
ap-5826	357	12	computation	computation	NOUN
ap-5826	357	13	of	of	ADP
ap-5826	357	14	the	the	DET
ap-5826	357	15	difference	difference	NOUN
ap-5826	357	16	of	of	ADP
ap-5826	357	17	two	two	NUM
ap-5826	357	18	entropies	entropy	NOUN
ap-5826	357	19	:	:	PUNCT
ap-5826	357	20	h	h	NOUN
ap-5826	357	21	,	,	PUNCT
ap-5826	357	22	entropy	entropy	VERB
ap-5826	357	23	with	with	ADP
ap-5826	357	24	a	a	DET
ap-5826	357	25	central	central	ADJ
ap-5826	357	26	pixel	pixel	NOUN
ap-5826	357	27	φ(x	φ(x	PROPN
ap-5826	357	28	,	,	PUNCT
ap-5826	357	29	y	y	NOUN
ap-5826	357	30	)	)	PUNCT
ap-5826	357	31	,	,	PUNCT
ap-5826	357	32	and	and	CCONJ
ap-5826	357	33	h	h	NOUN
ap-5826	357	34	(	(	PUNCT
ap-5826	357	35	i	i	NOUN
ap-5826	357	36	)	)	PUNCT
ap-5826	357	37	,	,	PUNCT
ap-5826	357	38	entropy	entropy	NOUN
ap-5826	357	39	without	without	ADP
ap-5826	357	40	such	such	ADJ
ap-5826	357	41	pixel	pixel	PROPN
ap-5826	357	42	.	.	PUNCT
ap-5826	358	1	an	an	DET
ap-5826	358	2	output	output	NOUN
ap-5826	358	3	image	image	NOUN
ap-5826	358	4	then	then	ADV
ap-5826	358	5	represents	represent	VERB
ap-5826	358	6	a	a	DET
ap-5826	358	7	map	map	NOUN
ap-5826	358	8	of	of	ADP
ap-5826	358	9	pixels	pixel	NOUN
ap-5826	358	10	’	'	PUNCT
ap-5826	358	11	importance	importance	NOUN
ap-5826	358	12	.	.	PUNCT
ap-5826	359	1	we	we	PRON
ap-5826	359	2	simplified	simplify	VERB
ap-5826	359	3	the	the	DET
ap-5826	359	4	calculation	calculation	NOUN
ap-5826	359	5	of	of	ADP
ap-5826	359	6	the	the	DET
ap-5826	359	7	information	information	NOUN
ap-5826	359	8	contribution	contribution	NOUN
ap-5826	359	9	of	of	ADP
ap-5826	359	10	a	a	DET
ap-5826	359	11	pixel	pixel	NOUN
ap-5826	359	12	to	to	ADP
ap-5826	359	13	the	the	DET
ap-5826	359	14	whole	whole	ADJ
ap-5826	359	15	shannonian	shannonian	ADJ
ap-5826	359	16	information	information	NOUN
ap-5826	359	17	of	of	ADP
ap-5826	359	18	the	the	DET
ap-5826	359	19	image	image	NOUN
ap-5826	359	20	and	and	CCONJ
ap-5826	359	21	to	to	ADP
ap-5826	359	22	local	local	ADJ
ap-5826	359	23	information	information	NOUN
ap-5826	359	24	explained	explain	VERB
ap-5826	359	25	for	for	ADP
ap-5826	359	26	pixels	pixel	NOUN
ap-5826	359	27	lying	lie	VERB
ap-5826	359	28	on	on	ADP
ap-5826	359	29	shanks	shank	NOUN
ap-5826	359	30	crossing	cross	VERB
ap-5826	359	31	the	the	DET
ap-5826	359	32	studied	study	VERB
ap-5826	359	33	pixel	pixel	NOUN
ap-5826	359	34	φ(x	φ(x	PROPN
ap-5826	359	35	,	,	PUNCT
ap-5826	359	36	y	y	NOUN
ap-5826	359	37	)	)	PUNCT
ap-5826	359	38	.	.	PUNCT
ap-5826	360	1	the	the	DET
ap-5826	360	2	pre	pre	NOUN
ap-5826	360	3	-	-	NOUN
ap-5826	360	4	computation	computation	NOUN
ap-5826	360	5	of	of	ADP
ap-5826	360	6	a	a	DET
ap-5826	360	7	fixed	fix	VERB
ap-5826	360	8	set	set	NOUN
ap-5826	360	9	(	(	PUNCT
ap-5826	360	10	for	for	ADP
ap-5826	360	11	a	a	DET
ap-5826	360	12	given	give	VERB
ap-5826	360	13	bit	bit	NOUN
ap-5826	360	14	precision	precision	NOUN
ap-5826	360	15	)	)	PUNCT
ap-5826	360	16	of	of	ADP
ap-5826	360	17	possible	possible	ADJ
ap-5826	360	18	logarithm	logarithm	NOUN
ap-5826	360	19	values	value	NOUN
ap-5826	360	20	reduces	reduce	VERB
ap-5826	360	21	the	the	DET
ap-5826	360	22	total	total	ADJ
ap-5826	360	23	number	number	NOUN
ap-5826	360	24	of	of	ADP
ap-5826	360	25	necessary	necessary	ADJ
ap-5826	360	26	calculations	calculation	NOUN
ap-5826	360	27	in	in	ADP
ap-5826	360	28	the	the	DET
ap-5826	360	29	algorithm	algorithm	NOUN
ap-5826	360	30	and	and	CCONJ
ap-5826	360	31	decrease	decrease	VERB
ap-5826	360	32	the	the	DET
ap-5826	360	33	computational	computational	ADJ
ap-5826	360	34	burden	burden	NOUN
ap-5826	360	35	in	in	ADP
ap-5826	360	36	the	the	DET
ap-5826	360	37	evaluation	evaluation	NOUN
ap-5826	360	38	of	of	ADP
ap-5826	360	39	the	the	DET
ap-5826	360	40	entropy	entropy	NOUN
ap-5826	360	41	difference	difference	NOUN
ap-5826	360	42	.	.	PUNCT
ap-5826	361	1	the	the	DET
ap-5826	361	2	calculation	calculation	NOUN
ap-5826	361	3	kernel	kernel	NOUN
ap-5826	361	4	was	be	AUX
ap-5826	361	5	implemented	implement	VERB
ap-5826	361	6	for	for	ADP
ap-5826	361	7	hardware	hardware	NOUN
ap-5826	361	8	acceleration	acceleration	NOUN
ap-5826	361	9	using	use	VERB
ap-5826	361	10	a	a	DET
ap-5826	361	11	graphics	graphic	NOUN
ap-5826	361	12	card	card	NOUN
ap-5826	361	13	.	.	PUNCT
ap-5826	362	1	list	list	NOUN
ap-5826	362	2	of	of	ADP
ap-5826	362	3	symbols	symbol	NOUN
ap-5826	362	4	b	b	PROPN
ap-5826	362	5	base	base	NOUN
ap-5826	362	6	in	in	ADP
ap-5826	362	7	computation	computation	NOUN
ap-5826	362	8	of	of	ADP
ap-5826	362	9	γ(i	γ(i	NOUN
ap-5826	362	10	)	)	PUNCT
ap-5826	362	11	b(x	b(x	NOUN
ap-5826	362	12	,	,	PUNCT
ap-5826	362	13	y	y	NOUN
ap-5826	362	14	)	)	PUNCT
ap-5826	362	15	base	base	NOUN
ap-5826	362	16	in	in	ADP
ap-5826	362	17	computation	computation	NOUN
ap-5826	362	18	of	of	ADP
ap-5826	362	19	γ(i	γ(i	NOUN
ap-5826	362	20	)	)	PUNCT
ap-5826	362	21	(	(	PUNCT
ap-5826	362	22	x	x	X
ap-5826	362	23	,	,	PUNCT
ap-5826	362	24	y	y	PROPN
ap-5826	362	25	)	)	PUNCT
ap-5826	362	26	c	c	PROPN
ap-5826	362	27	constant	constant	ADJ
ap-5826	362	28	member	member	NOUN
ap-5826	362	29	in	in	ADP
ap-5826	362	30	computation	computation	NOUN
ap-5826	362	31	of	of	ADP
ap-5826	362	32	γ(i	γ(i	NOUN
ap-5826	362	33	)	)	PUNCT
ap-5826	362	34	c(x	c(x	NOUN
ap-5826	362	35	,	,	PUNCT
ap-5826	362	36	y	y	NOUN
ap-5826	362	37	)	)	PUNCT
ap-5826	362	38	constant	constant	ADJ
ap-5826	362	39	member	member	NOUN
ap-5826	362	40	in	in	ADP
ap-5826	362	41	computation	computation	NOUN
ap-5826	362	42	of	of	ADP
ap-5826	362	43	γ(i	γ(i	NOUN
ap-5826	362	44	)	)	PUNCT
ap-5826	362	45	(	(	PUNCT
ap-5826	362	46	x	x	X
ap-5826	362	47	,	,	PUNCT
ap-5826	362	48	y	y	NOUN
ap-5826	362	49	)	)	PUNCT
ap-5826	362	50	cuda	cuda	PROPN
ap-5826	362	51	compute	compute	PROPN
ap-5826	362	52	unified	unified	ADJ
ap-5826	362	53	device	device	NOUN
ap-5826	362	54	architecture	architecture	NOUN
ap-5826	362	55	d	d	NOUN
ap-5826	362	56	image	image	NOUN
ap-5826	362	57	intensity	intensity	NOUN
ap-5826	362	58	bit	bit	NOUN
ap-5826	362	59	depth	depth	NOUN
ap-5826	362	60	ej	ej	PRON
ap-5826	362	61	element	element	NOUN
ap-5826	362	62	of	of	ADP
ap-5826	362	63	the	the	DET
ap-5826	362	64	unit	unit	NOUN
ap-5826	362	65	vector	vector	NOUN
ap-5826	362	66	ei	ei	X
ap-5826	362	67	ei	ei	NOUN
ap-5826	362	68	unit	unit	NOUN
ap-5826	362	69	vector	vector	NOUN
ap-5826	362	70	[	[	X
ap-5826	362	71	0,0	0,0	NOUN
ap-5826	362	72	,	,	PUNCT
ap-5826	362	73	.	.	PUNCT
ap-5826	362	74	.	.	PUNCT
ap-5826	363	1	.	.	PUNCT
ap-5826	364	1	,	,	PUNCT
ap-5826	364	2	1	1	NUM
ap-5826	364	3	,	,	PUNCT
ap-5826	364	4	.	.	PUNCT
ap-5826	364	5	.	.	PUNCT
ap-5826	364	6	.	.	PUNCT
ap-5826	365	1	,	,	PUNCT
ap-5826	365	2	0,0	0,0	NOUN
ap-5826	365	3	]	]	PUNCT
ap-5826	365	4	,	,	PUNCT
ap-5826	365	5	where	where	SCONJ
ap-5826	365	6	1	1	NUM
ap-5826	365	7	is	be	AUX
ap-5826	365	8	at	at	ADP
ap-5826	365	9	the	the	DET
ap-5826	365	10	position	position	NOUN
ap-5826	365	11	ei	ei	NOUN
ap-5826	365	12	fi	fi	NOUN
ap-5826	365	13	fluctuating	fluctuate	VERB
ap-5826	365	14	in	in	ADP
ap-5826	365	15	computation	computation	NOUN
ap-5826	365	16	of	of	ADP
ap-5826	365	17	γ(i	γ(i	NOUN
ap-5826	365	18	)	)	PUNCT
ap-5826	365	19	(	(	PUNCT
ap-5826	365	20	x	x	X
ap-5826	365	21	,	,	PUNCT
ap-5826	365	22	y	y	PROPN
ap-5826	365	23	)	)	PUNCT
ap-5826	365	24	gpu	gpu	NOUN
ap-5826	365	25	graphical	graphical	ADJ
ap-5826	365	26	processing	processing	NOUN
ap-5826	365	27	unit	unit	NOUN
ap-5826	365	28	h	h	PROPN
ap-5826	365	29	row	row	NOUN
ap-5826	365	30	position	position	NOUN
ap-5826	365	31	of	of	ADP
ap-5826	365	32	the	the	DET
ap-5826	365	33	pixel	pixel	NOUN
ap-5826	365	34	of	of	ADP
ap-5826	365	35	intensity	intensity	NOUN
ap-5826	365	36	j	j	PROPN
ap-5826	365	37	h	h	PROPN
ap-5826	365	38	image	image	NOUN
ap-5826	365	39	height	height	NOUN
ap-5826	365	40	(	(	PUNCT
ap-5826	365	41	in	in	ADP
ap-5826	365	42	pixels	pixel	NOUN
ap-5826	365	43	)	)	PUNCT
ap-5826	365	44	h	h	NOUN
ap-5826	365	45	(	(	PUNCT
ap-5826	365	46	p	p	NOUN
ap-5826	365	47	)	)	PUNCT
ap-5826	365	48	=	=	SYM
ap-5826	365	49	h	h	PROPN
ap-5826	365	50	shannon	shannon	PROPN
ap-5826	365	51	entropy	entropy	PROPN
ap-5826	365	52	for	for	ADP
ap-5826	365	53	probability	probability	NOUN
ap-5826	365	54	histogram	histogram	NOUN
ap-5826	365	55	function	function	NOUN
ap-5826	365	56	of	of	ADP
ap-5826	365	57	the	the	DET
ap-5826	365	58	whole	whole	ADJ
ap-5826	365	59	image	image	NOUN
ap-5826	365	60	h(x	h(x	PROPN
ap-5826	365	61	,	,	PUNCT
ap-5826	365	62	y	y	PROPN
ap-5826	365	63	)	)	PUNCT
ap-5826	365	64	shannon	shannon	PROPN
ap-5826	365	65	entropy	entropy	PROPN
ap-5826	365	66	for	for	ADP
ap-5826	365	67	probability	probability	NOUN
ap-5826	365	68	histogram	histogram	NOUN
ap-5826	365	69	function	function	NOUN
ap-5826	365	70	from	from	ADP
ap-5826	365	71	the	the	DET
ap-5826	365	72	cross	cross	NOUN
ap-5826	365	73	around	around	ADP
ap-5826	365	74	an	an	DET
ap-5826	365	75	investigated	investigate	VERB
ap-5826	365	76	pixel	pixel	NOUN
ap-5826	365	77	of	of	ADP
ap-5826	365	78	the	the	DET
ap-5826	365	79	intensity	intensity	NOUN
ap-5826	365	80	i	i	PRON
ap-5826	365	81	at	at	ADP
ap-5826	365	82	the	the	DET
ap-5826	365	83	position	position	NOUN
ap-5826	365	84	(	(	PUNCT
ap-5826	365	85	x	x	NOUN
ap-5826	365	86	,	,	PUNCT
ap-5826	365	87	y	y	NOUN
ap-5826	365	88	)	)	PUNCT
ap-5826	365	89	h	h	NOUN
ap-5826	365	90	(	(	PUNCT
ap-5826	365	91	p(i	p(i	PROPN
ap-5826	365	92	)	)	PUNCT
ap-5826	365	93	)	)	PUNCT
ap-5826	366	1	=	=	SYM
ap-5826	366	2	h	h	NOUN
ap-5826	366	3	(	(	PUNCT
ap-5826	366	4	i	i	NOUN
ap-5826	366	5	)	)	PUNCT
ap-5826	366	6	shannon	shannon	PROPN
ap-5826	366	7	entropy	entropy	PROPN
ap-5826	366	8	for	for	ADP
ap-5826	366	9	probability	probability	NOUN
ap-5826	366	10	histogram	histogram	NOUN
ap-5826	366	11	function	function	NOUN
ap-5826	366	12	from	from	ADP
ap-5826	366	13	the	the	DET
ap-5826	366	14	whole	whole	ADJ
ap-5826	366	15	image	image	NOUN
ap-5826	366	16	without	without	ADP
ap-5826	366	17	an	an	DET
ap-5826	366	18	investigated	investigate	VERB
ap-5826	366	19	pixel	pixel	NOUN
ap-5826	366	20	of	of	ADP
ap-5826	366	21	intensity	intensity	NOUN
ap-5826	367	1	i	i	PRON
ap-5826	367	2	h	h	INTJ
ap-5826	367	3	(	(	PUNCT
ap-5826	367	4	i	i	NOUN
ap-5826	367	5	)	)	PUNCT
ap-5826	367	6	(	(	PUNCT
ap-5826	367	7	x	x	X
ap-5826	367	8	,	,	PUNCT
ap-5826	367	9	y	y	PROPN
ap-5826	367	10	)	)	PUNCT
ap-5826	367	11	shannon	shannon	PROPN
ap-5826	367	12	entropy	entropy	PROPN
ap-5826	367	13	for	for	ADP
ap-5826	367	14	probability	probability	NOUN
ap-5826	367	15	histogram	histogram	NOUN
ap-5826	367	16	function	function	NOUN
ap-5826	367	17	from	from	ADP
ap-5826	367	18	the	the	DET
ap-5826	367	19	cross	cross	NOUN
ap-5826	367	20	around	around	ADV
ap-5826	367	21	and	and	CCONJ
ap-5826	367	22	without	without	ADP
ap-5826	367	23	an	an	DET
ap-5826	367	24	investigated	investigate	VERB
ap-5826	367	25	pixel	pixel	NOUN
ap-5826	367	26	of	of	ADP
ap-5826	367	27	the	the	DET
ap-5826	367	28	intensity	intensity	NOUN
ap-5826	367	29	i	i	PRON
ap-5826	367	30	at	at	ADP
ap-5826	367	31	the	the	DET
ap-5826	367	32	position	position	NOUN
ap-5826	367	33	(	(	PUNCT
ap-5826	367	34	x	x	NOUN
ap-5826	367	35	,	,	PUNCT
ap-5826	367	36	y	y	PROPN
ap-5826	367	37	)	)	PUNCT
ap-5826	368	1	i	i	PRON
ap-5826	368	2	intensity	intensity	NOUN
ap-5826	368	3	of	of	ADP
ap-5826	368	4	an	an	DET
ap-5826	368	5	investigated	investigated	ADJ
ap-5826	368	6	pixel	pixel	NOUN
ap-5826	368	7	i	i	PRON
ap-5826	368	8	information	information	NOUN
ap-5826	368	9	iiep	iiep	NOUN
ap-5826	368	10	image	image	NOUN
ap-5826	368	11	info	info	NOUN
ap-5826	368	12	extractor	extractor	PROPN
ap-5826	368	13	professional	professional	PROPN
ap-5826	368	14	software	software	PROPN
ap-5826	368	15	j	j	PROPN
ap-5826	368	16	pixel	pixel	PROPN
ap-5826	368	17	intensity	intensity	PROPN
ap-5826	368	18	;	;	PUNCT
ap-5826	368	19	j	j	PROPN
ap-5826	368	20	∈	∈	PROPN
ap-5826	368	21	{	{	PUNCT
ap-5826	368	22	0	0	NUM
ap-5826	368	23	,	,	PUNCT
ap-5826	368	24	1	1	NUM
ap-5826	368	25	,	,	PUNCT
ap-5826	368	26	.	.	PUNCT
ap-5826	368	27	.	.	PUNCT
ap-5826	368	28	.	.	PUNCT
ap-5826	369	1	,	,	PUNCT
ap-5826	369	2	i	i	PRON
ap-5826	369	3	,	,	PUNCT
ap-5826	369	4	.	.	PUNCT
ap-5826	369	5	.	.	PUNCT
ap-5826	369	6	.	.	PUNCT
ap-5826	370	1	,	,	PUNCT
ap-5826	370	2	i	i	PRON
ap-5826	370	3	,	,	PUNCT
ap-5826	370	4	.	.	PUNCT
ap-5826	370	5	.	.	PUNCT
ap-5826	370	6	.	.	PUNCT
ap-5826	371	1	,	,	PUNCT
ap-5826	371	2	k	k	X
ap-5826	371	3	}	}	PUNCT
ap-5826	371	4	k	k	ADJ
ap-5826	371	5	weight	weight	NOUN
ap-5826	371	6	of	of	ADP
ap-5826	371	7	the	the	DET
ap-5826	371	8	entropic	entropic	ADJ
ap-5826	371	9	contribution	contribution	NOUN
ap-5826	371	10	;	;	PUNCT
ap-5826	371	11	e.g.	e.g.	ADV
ap-5826	371	12	,	,	PUNCT
ap-5826	371	13	k	k	NOUN
ap-5826	371	14	=	=	SYM
ap-5826	371	15	1	1	NUM
ap-5826	371	16	in	in	ADP
ap-5826	371	17	the	the	DET
ap-5826	371	18	hartley	hartley	PROPN
ap-5826	371	19	and	and	CCONJ
ap-5826	371	20	shannon	shannon	PROPN
ap-5826	371	21	entropy	entropy	PROPN
ap-5826	371	22	;	;	PUNCT
ap-5826	372	1	k	k	PROPN
ap-5826	372	2	=	=	SYM
ap-5826	372	3	1.38×	1.38×	NUM
ap-5826	372	4	10−23	10−23	NOUN
ap-5826	372	5	in	in	ADP
ap-5826	372	6	the	the	DET
ap-5826	372	7	boltzmann	boltzmann	PROPN
ap-5826	372	8	entropy	entropy	PROPN
ap-5826	372	9	nj(h	nj(h	PROPN
ap-5826	372	10	,	,	PUNCT
ap-5826	372	11	w	w	NOUN
ap-5826	372	12	)	)	PUNCT
ap-5826	372	13	=	=	SYM
ap-5826	372	14	nj	nj	PROPN
ap-5826	372	15	contribution	contribution	NOUN
ap-5826	372	16	of	of	ADP
ap-5826	372	17	the	the	DET
ap-5826	372	18	pixel	pixel	NOUN
ap-5826	372	19	of	of	ADP
ap-5826	372	20	intensity	intensity	NOUN
ap-5826	372	21	j	j	PROPN
ap-5826	372	22	at	at	ADP
ap-5826	372	23	the	the	DET
ap-5826	372	24	position	position	NOUN
ap-5826	372	25	(	(	PUNCT
ap-5826	372	26	h	h	NOUN
ap-5826	372	27	,	,	PUNCT
ap-5826	372	28	w	w	NOUN
ap-5826	372	29	)	)	PUNCT
ap-5826	372	30	to	to	ADP
ap-5826	372	31	the	the	DET
ap-5826	372	32	histogram	histogram	NOUN
ap-5826	372	33	n	n	CCONJ
ap-5826	372	34	598	598	NUM
ap-5826	372	35	vol	vol	NOUN
ap-5826	372	36	.	.	PUNCT
ap-5826	373	1	59	59	NUM
ap-5826	373	2	no	no	NOUN
ap-5826	373	3	.	.	PUNCT
ap-5826	374	1	6/2019	6/2019	NUM
ap-5826	374	2	optimization	optimization	NOUN
ap-5826	374	3	of	of	ADP
ap-5826	374	4	computational	computational	ADJ
ap-5826	374	5	burden	burden	NOUN
ap-5826	374	6	of	of	ADP
ap-5826	374	7	the	the	DET
ap-5826	374	8	point	point	NOUN
ap-5826	374	9	information	information	NOUN
ap-5826	374	10	gain	gain	NOUN
ap-5826	374	11	n	n	PRON
ap-5826	374	12	(	(	PUNCT
ap-5826	374	13	i	i	NOUN
ap-5826	374	14	)	)	PUNCT
ap-5826	374	15	j	j	PROPN
ap-5826	374	16	element	element	NOUN
ap-5826	374	17	in	in	ADP
ap-5826	374	18	the	the	DET
ap-5826	374	19	histogram	histogram	NOUN
ap-5826	374	20	n	n	CCONJ
ap-5826	374	21	,	,	PUNCT
ap-5826	374	22	where	where	SCONJ
ap-5826	374	23	a	a	DET
ap-5826	374	24	pixel	pixel	NOUN
ap-5826	374	25	of	of	ADP
ap-5826	374	26	intensity	intensity	NOUN
ap-5826	374	27	i	i	PRON
ap-5826	374	28	is	be	AUX
ap-5826	374	29	discarded	discard	VERB
ap-5826	374	30	nj(x	nj(x	PRON
ap-5826	374	31	)	)	PUNCT
ap-5826	374	32	element	element	NOUN
ap-5826	374	33	of	of	ADP
ap-5826	374	34	the	the	DET
ap-5826	374	35	intensity	intensity	NOUN
ap-5826	374	36	histogram	histogram	NOUN
ap-5826	374	37	of	of	ADP
ap-5826	374	38	an	an	DET
ap-5826	374	39	image	image	NOUN
ap-5826	374	40	pixel	pixel	NOUN
ap-5826	374	41	row	row	NOUN
ap-5826	374	42	x	x	SYM
ap-5826	374	43	nj(y	nj(y	X
ap-5826	374	44	)	)	PUNCT
ap-5826	374	45	element	element	NOUN
ap-5826	374	46	of	of	ADP
ap-5826	374	47	the	the	DET
ap-5826	374	48	intensity	intensity	NOUN
ap-5826	374	49	histogram	histogram	NOUN
ap-5826	374	50	of	of	ADP
ap-5826	374	51	an	an	DET
ap-5826	374	52	image	image	NOUN
ap-5826	374	53	pixel	pixel	NOUN
ap-5826	374	54	column	column	NOUN
ap-5826	374	55	y	y	PROPN
ap-5826	374	56	n	n	PROPN
ap-5826	374	57	image	image	NOUN
ap-5826	374	58	histogram	histogram	NOUN
ap-5826	374	59	function	function	NOUN
ap-5826	374	60	n(i	n(i	PROPN
ap-5826	374	61	)	)	PUNCT
ap-5826	374	62	intensity	intensity	NOUN
ap-5826	374	63	histogram	histogram	NOUN
ap-5826	374	64	without	without	ADP
ap-5826	374	65	an	an	DET
ap-5826	374	66	investigated	investigate	VERB
ap-5826	374	67	pixel	pixel	NOUN
ap-5826	374	68	of	of	ADP
ap-5826	374	69	intensity	intensity	NOUN
ap-5826	374	70	i	i	PRON
ap-5826	374	71	n(x	n(x	NOUN
ap-5826	374	72	)	)	PUNCT
ap-5826	374	73	intensity	intensity	NOUN
ap-5826	374	74	histogram	histogram	NOUN
ap-5826	374	75	for	for	ADP
ap-5826	374	76	the	the	DET
ap-5826	374	77	image	image	NOUN
ap-5826	374	78	pixel	pixel	NOUN
ap-5826	374	79	row	row	NOUN
ap-5826	374	80	x	x	SYM
ap-5826	374	81	n(y	n(y	ADJ
ap-5826	374	82	)	)	PUNCT
ap-5826	374	83	intensity	intensity	NOUN
ap-5826	374	84	histogram	histogram	NOUN
ap-5826	374	85	for	for	ADP
ap-5826	374	86	the	the	DET
ap-5826	374	87	image	image	NOUN
ap-5826	374	88	pixel	pixel	PROPN
ap-5826	374	89	column	column	NOUN
ap-5826	374	90	y	y	PROPN
ap-5826	374	91	pi	pi	PROPN
ap-5826	374	92	probability	probability	NOUN
ap-5826	374	93	of	of	ADP
ap-5826	374	94	the	the	DET
ap-5826	374	95	occurrence	occurrence	NOUN
ap-5826	374	96	of	of	ADP
ap-5826	374	97	the	the	DET
ap-5826	374	98	investigated	investigate	VERB
ap-5826	374	99	pixels	pixel	NOUN
ap-5826	374	100	of	of	ADP
ap-5826	374	101	intensity	intensity	NOUN
ap-5826	374	102	i	i	PRON
ap-5826	374	103	in	in	ADP
ap-5826	374	104	histogram	histogram	PROPN
ap-5826	374	105	p	p	PROPN
ap-5826	374	106	pj(h	pj(h	NOUN
ap-5826	374	107	,	,	PUNCT
ap-5826	374	108	w	w	NOUN
ap-5826	374	109	)	)	PUNCT
ap-5826	374	110	=	=	SYM
ap-5826	374	111	pj	pj	PROPN
ap-5826	374	112	contribution	contribution	NOUN
ap-5826	374	113	of	of	ADP
ap-5826	374	114	the	the	DET
ap-5826	374	115	pixel	pixel	NOUN
ap-5826	374	116	of	of	ADP
ap-5826	374	117	intensity	intensity	NOUN
ap-5826	374	118	j	j	PROPN
ap-5826	374	119	at	at	ADP
ap-5826	374	120	the	the	DET
ap-5826	374	121	position	position	NOUN
ap-5826	374	122	(	(	PUNCT
ap-5826	374	123	h	h	NOUN
ap-5826	374	124	,	,	PUNCT
ap-5826	374	125	w	w	NOUN
ap-5826	374	126	)	)	PUNCT
ap-5826	374	127	to	to	ADP
ap-5826	374	128	the	the	DET
ap-5826	374	129	probability	probability	NOUN
ap-5826	374	130	histogram	histogram	NOUN
ap-5826	374	131	p	p	NOUN
ap-5826	374	132	;	;	PUNCT
ap-5826	374	133	p	p	X
ap-5826	374	134	(	(	PUNCT
ap-5826	374	135	i	i	NOUN
ap-5826	374	136	)	)	PUNCT
ap-5826	374	137	j	j	PROPN
ap-5826	374	138	element	element	NOUN
ap-5826	374	139	in	in	ADP
ap-5826	374	140	the	the	DET
ap-5826	374	141	probability	probability	NOUN
ap-5826	374	142	histogram	histogram	NOUN
ap-5826	374	143	p	p	X
ap-5826	374	144	,	,	PUNCT
ap-5826	374	145	where	where	SCONJ
ap-5826	374	146	the	the	DET
ap-5826	374	147	pixel	pixel	NOUN
ap-5826	374	148	of	of	ADP
ap-5826	374	149	intensity	intensity	NOUN
ap-5826	374	150	i	i	PRON
ap-5826	374	151	is	be	AUX
ap-5826	374	152	discarded	discard	VERB
ap-5826	374	153	p	p	ADJ
ap-5826	374	154	discrete	discrete	ADJ
ap-5826	374	155	probability	probability	NOUN
ap-5826	374	156	distribution	distribution	NOUN
ap-5826	374	157	(	(	PUNCT
ap-5826	374	158	of	of	ADP
ap-5826	374	159	the	the	DET
ap-5826	374	160	whole	whole	ADJ
ap-5826	374	161	image	image	NOUN
ap-5826	374	162	)	)	PUNCT
ap-5826	374	163	p(i	p(i	PROPN
ap-5826	374	164	)	)	PUNCT
ap-5826	374	165	probability	probability	NOUN
ap-5826	374	166	intensity	intensity	NOUN
ap-5826	374	167	histogram	histogram	NOUN
ap-5826	374	168	without	without	ADP
ap-5826	374	169	an	an	DET
ap-5826	374	170	investigated	investigate	VERB
ap-5826	374	171	pixel	pixel	NOUN
ap-5826	374	172	of	of	ADP
ap-5826	374	173	the	the	DET
ap-5826	374	174	intensity	intensity	NOUN
ap-5826	374	175	i	i	PRON
ap-5826	374	176	pig	pig	NOUN
ap-5826	374	177	point	point	VERB
ap-5826	374	178	information	information	NOUN
ap-5826	374	179	gain	gain	NOUN
ap-5826	374	180	;	;	PUNCT
ap-5826	374	181	γ	γ	PROPN
ap-5826	374	182	t	t	PROPN
ap-5826	374	183	mathematical	mathematical	ADJ
ap-5826	374	184	substitution	substitution	NOUN
ap-5826	374	185	for	for	ADP
ap-5826	374	186	a	a	DET
ap-5826	374	187	vector	vector	NOUN
ap-5826	374	188	of	of	ADP
ap-5826	374	189	weighted	weight	VERB
ap-5826	374	190	logarithms	logarithm	NOUN
ap-5826	374	191	with	with	ADP
ap-5826	374	192	element	element	NOUN
ap-5826	374	193	t(nj	t(nj	X
ap-5826	374	194	)	)	PUNCT
ap-5826	375	1	=	=	SYM
ap-5826	375	2	nj	nj	PROPN
ap-5826	375	3	lnnj	lnnj	VERB
ap-5826	375	4	t(nj	t(nj	NUM
ap-5826	375	5	)	)	PUNCT
ap-5826	375	6	element	element	NOUN
ap-5826	375	7	of	of	ADP
ap-5826	375	8	the	the	DET
ap-5826	375	9	vector	vector	NOUN
ap-5826	375	10	t	t	PROPN
ap-5826	375	11	of	of	ADP
ap-5826	375	12	weighted	weight	VERB
ap-5826	375	13	logarithms	logarithms	PROPN
ap-5826	375	14	w	w	PROPN
ap-5826	375	15	column	column	NOUN
ap-5826	375	16	position	position	NOUN
ap-5826	375	17	of	of	ADP
ap-5826	375	18	the	the	DET
ap-5826	375	19	pixel	pixel	NOUN
ap-5826	375	20	of	of	ADP
ap-5826	375	21	intensity	intensity	NOUN
ap-5826	375	22	j	j	PROPN
ap-5826	375	23	w	w	PROPN
ap-5826	375	24	image	image	NOUN
ap-5826	375	25	width	width	NOUN
ap-5826	375	26	(	(	PUNCT
ap-5826	375	27	in	in	ADP
ap-5826	375	28	pixels	pixel	NOUN
ap-5826	375	29	)	)	PUNCT
ap-5826	375	30	x	x	SYM
ap-5826	375	31	row	row	NOUN
ap-5826	375	32	position	position	NOUN
ap-5826	375	33	of	of	ADP
ap-5826	375	34	the	the	DET
ap-5826	375	35	pixel	pixel	NOUN
ap-5826	375	36	of	of	ADP
ap-5826	375	37	intensity	intensity	NOUN
ap-5826	376	1	i	i	PRON
ap-5826	376	2	y	y	PROPN
ap-5826	376	3	column	column	NOUN
ap-5826	376	4	position	position	NOUN
ap-5826	376	5	of	of	ADP
ap-5826	376	6	the	the	DET
ap-5826	376	7	pixel	pixel	NOUN
ap-5826	376	8	of	of	ADP
ap-5826	376	9	intensity	intensity	NOUN
ap-5826	376	10	i	i	PRON
ap-5826	376	11	α	α	PROPN
ap-5826	376	12	rényi	rényi	PROPN
ap-5826	376	13	dimensionless	dimensionless	NOUN
ap-5826	376	14	coefficient	coefficient	NOUN
ap-5826	376	15	γ(i	γ(i	NOUN
ap-5826	376	16	)	)	PUNCT
ap-5826	376	17	point	point	VERB
ap-5826	376	18	information	information	NOUN
ap-5826	376	19	gain	gain	NOUN
ap-5826	376	20	for	for	ADP
ap-5826	376	21	a	a	DET
ap-5826	376	22	pixel	pixel	NOUN
ap-5826	376	23	of	of	ADP
ap-5826	376	24	intensity	intensity	NOUN
ap-5826	377	1	i	i	PRON
ap-5826	377	2	(	(	PUNCT
ap-5826	377	3	from	from	ADP
ap-5826	377	4	a	a	DET
ap-5826	377	5	whole	whole	ADJ
ap-5826	377	6	-	-	PUNCT
ap-5826	377	7	image	image	NOUN
ap-5826	377	8	histogram	histogram	NOUN
ap-5826	377	9	)	)	PUNCT
ap-5826	377	10	γ(i	γ(i	NOUN
ap-5826	377	11	)	)	PUNCT
ap-5826	377	12	(	(	PUNCT
ap-5826	377	13	x	x	X
ap-5826	377	14	,	,	PUNCT
ap-5826	377	15	y	y	NOUN
ap-5826	377	16	)	)	PUNCT
ap-5826	377	17	point	point	NOUN
ap-5826	377	18	information	information	NOUN
ap-5826	377	19	gain	gain	NOUN
ap-5826	377	20	for	for	ADP
ap-5826	377	21	a	a	DET
ap-5826	377	22	pixel	pixel	NOUN
ap-5826	377	23	of	of	ADP
ap-5826	377	24	intensity	intensity	NOUN
ap-5826	377	25	i	i	PRON
ap-5826	377	26	from	from	ADP
ap-5826	377	27	a	a	DET
ap-5826	377	28	histogram	histogram	NOUN
ap-5826	377	29	from	from	ADP
ap-5826	377	30	pixels	pixel	NOUN
ap-5826	377	31	forming	form	VERB
ap-5826	377	32	a	a	DET
ap-5826	377	33	cross	cross	NOUN
ap-5826	377	34	around	around	ADP
ap-5826	377	35	the	the	DET
ap-5826	377	36	investigated	investigate	VERB
ap-5826	377	37	pixel	pixel	PROPN
ap-5826	377	38	φ(h	φ(h	PROPN
ap-5826	377	39	,	,	PUNCT
ap-5826	377	40	w	w	NOUN
ap-5826	377	41	)	)	PUNCT
ap-5826	377	42	pixel	pixel	NOUN
ap-5826	377	43	of	of	ADP
ap-5826	377	44	intensity	intensity	NOUN
ap-5826	377	45	j	j	PROPN
ap-5826	377	46	at	at	ADP
ap-5826	377	47	the	the	DET
ap-5826	377	48	position	position	NOUN
ap-5826	377	49	(	(	PUNCT
ap-5826	377	50	h	h	NOUN
ap-5826	377	51	,	,	PUNCT
ap-5826	377	52	w	w	NOUN
ap-5826	377	53	)	)	PUNCT
ap-5826	377	54	φ(x	φ(x	PROPN
ap-5826	377	55	,	,	PUNCT
ap-5826	377	56	y	y	NOUN
ap-5826	377	57	)	)	PUNCT
ap-5826	377	58	pixel	pixel	NOUN
ap-5826	377	59	(	(	PUNCT
ap-5826	377	60	of	of	ADP
ap-5826	377	61	)	)	PUNCT
ap-5826	377	62	intensity	intensity	NOUN
ap-5826	377	63	i	i	PRON
ap-5826	377	64	at	at	ADP
ap-5826	377	65	the	the	DET
ap-5826	377	66	position	position	NOUN
ap-5826	377	67	(	(	PUNCT
ap-5826	377	68	x	x	NOUN
ap-5826	377	69	,	,	PUNCT
ap-5826	377	70	y	y	NOUN
ap-5826	377	71	)	)	PUNCT
ap-5826	377	72	acknowledgements	acknowledgement	NOUN
ap-5826	377	73	authors	author	NOUN
ap-5826	377	74	are	be	AUX
ap-5826	377	75	thankful	thankful	ADJ
ap-5826	377	76	to	to	ADP
ap-5826	377	77	j.	j.	PROPN
ap-5826	377	78	vaněk	vaněk	PROPN
ap-5826	377	79	,	,	PUNCT
ap-5826	377	80	t.	t.	NOUN
ap-5826	377	81	levitner	levitner	NOUN
ap-5826	377	82	,	,	PUNCT
ap-5826	377	83	a.	a.	NOUN
ap-5826	377	84	zhyrova	zhyrova	PROPN
ap-5826	377	85	,	,	PUNCT
ap-5826	377	86	and	and	CCONJ
ap-5826	377	87	v.	v.	ADP
ap-5826	377	88	březina	březina	NOUN
ap-5826	377	89	for	for	ADP
ap-5826	377	90	several	several	ADJ
ap-5826	377	91	discussions	discussion	NOUN
ap-5826	377	92	.	.	PUNCT
ap-5826	378	1	this	this	DET
ap-5826	378	2	work	work	NOUN
ap-5826	378	3	was	be	AUX
ap-5826	378	4	supported	support	VERB
ap-5826	378	5	by	by	ADP
ap-5826	378	6	the	the	DET
ap-5826	378	7	ministry	ministry	PROPN
ap-5826	378	8	of	of	ADP
ap-5826	378	9	education	education	PROPN
ap-5826	378	10	,	,	PUNCT
ap-5826	378	11	youth	youth	NOUN
ap-5826	378	12	and	and	CCONJ
ap-5826	378	13	sports	sport	NOUN
ap-5826	378	14	of	of	ADP
ap-5826	378	15	the	the	DET
ap-5826	378	16	czech	czech	PROPN
ap-5826	378	17	republic	republic	NOUN
ap-5826	378	18	—	—	PUNCT
ap-5826	378	19	projects	project	VERB
ap-5826	378	20	cenakva	cenakva	NOUN
ap-5826	378	21	(	(	PUNCT
ap-5826	378	22	lm2018099	lm2018099	PROPN
ap-5826	378	23	)	)	PUNCT
ap-5826	378	24	and	and	CCONJ
ap-5826	378	25	the	the	DET
ap-5826	378	26	cenakva	cenakva	NOUN
ap-5826	378	27	centre	centre	NOUN
ap-5826	378	28	development	development	NOUN
ap-5826	378	29	(	(	PUNCT
ap-5826	378	30	no	no	INTJ
ap-5826	378	31	.	.	PUNCT
ap-5826	379	1	cz.1.05/2.1.00/19.0380)—and	cz.1.05/2.1.00/19.0380)—and	PROPN
ap-5826	379	2	from	from	ADP
ap-5826	379	3	the	the	DET
ap-5826	379	4	european	european	PROPN
ap-5826	379	5	regional	regional	PROPN
ap-5826	379	6	development	development	PROPN
ap-5826	379	7	fund	fund	NOUN
ap-5826	379	8	in	in	ADP
ap-5826	379	9	frame	frame	NOUN
ap-5826	379	10	of	of	ADP
ap-5826	379	11	the	the	DET
ap-5826	379	12	project	project	NOUN
ap-5826	379	13	kompetenzzentrum	kompetenzzentrum	NOUN
ap-5826	379	14	mechanobiologie	mechanobiologie	NOUN
ap-5826	379	15	(	(	PUNCT
ap-5826	379	16	atcz133	atcz133	PROPN
ap-5826	379	17	)	)	PUNCT
ap-5826	379	18	in	in	ADP
ap-5826	379	19	the	the	DET
ap-5826	379	20	interreg	interreg	NOUN
ap-5826	379	21	v	v	ADP
ap-5826	379	22	-	-	PUNCT
ap-5826	379	23	a	a	DET
ap-5826	379	24	austria	austria	NOUN
ap-5826	379	25	–	–	PUNCT
ap-5826	379	26	czech	czech	PROPN
ap-5826	379	27	republic	republic	NOUN
ap-5826	379	28	programme	programme	PROPN
ap-5826	379	29	.	.	PUNCT
ap-5826	380	1	the	the	DET
ap-5826	380	2	work	work	NOUN
ap-5826	380	3	was	be	AUX
ap-5826	380	4	further	far	ADV
ap-5826	380	5	financed	finance	VERB
ap-5826	380	6	by	by	ADP
ap-5826	380	7	the	the	DET
ap-5826	380	8	ta	ta	PROPN
ap-5826	380	9	cr	cr	PROPN
ap-5826	380	10	gama	gama	PROPN
ap-5826	380	11	poc	poc	PROPN
ap-5826	380	12	03	03	NUM
ap-5826	380	13	-	-	PUNCT
ap-5826	380	14	24rychtáriková	24rychtáriková	NUM
ap-5826	380	15	sub	sub	NOUN
ap-5826	380	16	-	-	NOUN
ap-5826	380	17	project	project	NOUN
ap-5826	380	18	.	.	PUNCT
ap-5826	381	1	references	reference	NOUN
ap-5826	381	2	[	[	X
ap-5826	381	3	1	1	X
ap-5826	381	4	]	]	PUNCT
ap-5826	381	5	s.	s.	PROPN
ap-5826	381	6	beucher	beucher	PROPN
ap-5826	381	7	.	.	PUNCT
ap-5826	382	1	applications	application	NOUN
ap-5826	382	2	of	of	ADP
ap-5826	382	3	mathematical	mathematical	ADJ
ap-5826	382	4	morphology	morphology	NOUN
ap-5826	382	5	in	in	ADP
ap-5826	382	6	material	material	NOUN
ap-5826	382	7	sciences	science	NOUN
ap-5826	382	8	:	:	PUNCT
ap-5826	382	9	a	a	DET
ap-5826	382	10	review	review	NOUN
ap-5826	382	11	of	of	ADP
ap-5826	382	12	recent	recent	ADJ
ap-5826	382	13	developments	development	NOUN
ap-5826	382	14	.	.	PUNCT
ap-5826	383	1	international	international	ADJ
ap-5826	383	2	metallography	metallography	PROPN
ap-5826	383	3	conference	conference	NOUN
ap-5826	383	4	,	,	PUNCT
ap-5826	383	5	colmar	colmar	PROPN
ap-5826	383	6	,	,	PUNCT
ap-5826	383	7	france	france	PROPN
ap-5826	383	8	.	.	PUNCT
ap-5826	384	1	proc	proc	PROPN
ap-5826	384	2	mc95	mc95	PROPN
ap-5826	384	3	pp	pp	PROPN
ap-5826	384	4	.	.	PUNCT
ap-5826	385	1	41–46	41–46	NUM
ap-5826	385	2	,	,	PUNCT
ap-5826	385	3	1945	1945	NUM
ap-5826	385	4	.	.	PUNCT
ap-5826	386	1	[	[	X
ap-5826	386	2	2	2	NUM
ap-5826	386	3	]	]	X
ap-5826	386	4	n.	n.	NOUN
ap-5826	386	5	otsu	otsu	PROPN
ap-5826	386	6	.	.	PUNCT
ap-5826	387	1	a	a	DET
ap-5826	387	2	threshold	threshold	NOUN
ap-5826	387	3	selection	selection	NOUN
ap-5826	387	4	method	method	NOUN
ap-5826	387	5	from	from	ADP
ap-5826	387	6	gray	gray	ADJ
ap-5826	387	7	-	-	PUNCT
ap-5826	387	8	level	level	NOUN
ap-5826	387	9	histogram	histogram	NOUN
ap-5826	387	10	.	.	PUNCT
ap-5826	388	1	ieee	ieee	PROPN
ap-5826	388	2	trans	trans	PROPN
ap-5826	388	3	syst	syst	PROPN
ap-5826	388	4	man	man	PROPN
ap-5826	388	5	cybern	cybern	PROPN
ap-5826	388	6	9(1):62–66	9(1):62–66	NUM
ap-5826	388	7	,	,	PUNCT
ap-5826	388	8	1979	1979	NUM
ap-5826	388	9	.	.	PUNCT
ap-5826	389	1	doi:10.1109	doi:10.1109	VERB
ap-5826	389	2	/	/	SYM
ap-5826	389	3	tsmc.1979.4310076	tsmc.1979.4310076	NUM
ap-5826	389	4	.	.	PUNCT
ap-5826	390	1	[	[	X
ap-5826	390	2	3	3	X
ap-5826	390	3	]	]	X
ap-5826	390	4	m.	m.	NOUN
ap-5826	390	5	sonka	sonka	PROPN
ap-5826	390	6	,	,	PUNCT
ap-5826	390	7	v.	v.	ADP
ap-5826	390	8	hlavac	hlavac	PROPN
ap-5826	390	9	,	,	PUNCT
ap-5826	390	10	r.	r.	PROPN
ap-5826	390	11	boyle	boyle	PROPN
ap-5826	390	12	.	.	PUNCT
ap-5826	391	1	image	image	NOUN
ap-5826	391	2	processing	processing	NOUN
ap-5826	391	3	,	,	PUNCT
ap-5826	391	4	analysis	analysis	NOUN
ap-5826	391	5	and	and	CCONJ
ap-5826	391	6	machine	machine	NOUN
ap-5826	391	7	vision	vision	NOUN
ap-5826	391	8	.	.	PUNCT
ap-5826	392	1	brooks	brooks	PROPN
ap-5826	392	2	/	/	SYM
ap-5826	392	3	cole	cole	PROPN
ap-5826	392	4	publishing	publishing	NOUN
ap-5826	392	5	company	company	NOUN
ap-5826	392	6	,	,	PUNCT
ap-5826	392	7	1999	1999	NUM
ap-5826	392	8	.	.	PUNCT
ap-5826	393	1	[	[	X
ap-5826	393	2	4	4	NUM
ap-5826	393	3	]	]	X
ap-5826	393	4	r.	r.	PROPN
ap-5826	393	5	c.	c.	PROPN
ap-5826	393	6	gonzales	gonzales	PROPN
ap-5826	393	7	,	,	PUNCT
ap-5826	393	8	r.	r.	PROPN
ap-5826	393	9	e.	e.	PROPN
ap-5826	393	10	woods	woods	PROPN
ap-5826	393	11	.	.	PUNCT
ap-5826	394	1	digital	digital	ADJ
ap-5826	394	2	image	image	NOUN
ap-5826	394	3	processing	processing	NOUN
ap-5826	394	4	.	.	PUNCT
ap-5826	395	1	addison	addison	PROPN
ap-5826	395	2	-	-	PUNCT
ap-5826	395	3	wesley	wesley	PROPN
ap-5826	395	4	publishing	publishing	PROPN
ap-5826	395	5	co.	co.	PROPN
ap-5826	395	6	,	,	PUNCT
ap-5826	395	7	reading	reading	NOUN
ap-5826	395	8	,	,	PUNCT
ap-5826	395	9	mass.-london	mass.-london	ADJ
ap-5826	395	10	-	-	ADJ
ap-5826	395	11	don	don	ADJ
ap-5826	395	12	mills	mill	NOUN
ap-5826	395	13	,	,	PUNCT
ap-5826	395	14	ont	ont	NOUN
ap-5826	395	15	,	,	PUNCT
ap-5826	395	16	1992	1992	NUM
ap-5826	395	17	.	.	PUNCT
ap-5826	396	1	[	[	X
ap-5826	396	2	5	5	X
ap-5826	396	3	]	]	PUNCT
ap-5826	396	4	j.	j.	PROPN
ap-5826	396	5	yang	yang	PROPN
ap-5826	396	6	,	,	PUNCT
ap-5826	396	7	w.	w.	PROPN
ap-5826	396	8	lu	lu	PROPN
ap-5826	396	9	,	,	PUNCT
ap-5826	396	10	a.	a.	NOUN
ap-5826	396	11	waibel	waibel	NOUN
ap-5826	396	12	.	.	PUNCT
ap-5826	397	1	skin	skin	NOUN
ap-5826	397	2	-	-	PUNCT
ap-5826	397	3	color	color	NOUN
ap-5826	397	4	modeling	modeling	NOUN
ap-5826	397	5	and	and	CCONJ
ap-5826	397	6	adaptation	adaptation	NOUN
ap-5826	397	7	.	.	PUNCT
ap-5826	398	1	proc	proc	PROPN
ap-5826	398	2	.	.	PUNCT
ap-5826	399	1	accv	accv	PROPN
ap-5826	399	2	1998	1998	NUM
ap-5826	399	3	-	-	PUNCT
ap-5826	399	4	vol	vol	NOUN
ap-5826	399	5	.	.	PUNCT
ap-5826	400	1	ii	ii	PROPN
ap-5826	400	2	.	.	PUNCT
ap-5826	401	1	lect	lect	PROPN
ap-5826	401	2	notes	notes	PROPN
ap-5826	401	3	comp	comp	PROPN
ap-5826	401	4	sci	sci	PROPN
ap-5826	401	5	1352:687–694	1352:687–694	PROPN
ap-5826	401	6	,	,	PUNCT
ap-5826	401	7	1998	1998	NUM
ap-5826	401	8	.	.	PUNCT
ap-5826	402	1	doi:10.1007/3	doi:10.1007/3	PROPN
ap-5826	402	2	-	-	PUNCT
ap-5826	402	3	540	540	NUM
ap-5826	402	4	-	-	PUNCT
ap-5826	402	5	63931	63931	NUM
ap-5826	402	6	-	-	PUNCT
ap-5826	402	7	4_278	4_278	NUM
ap-5826	402	8	.	.	PUNCT
ap-5826	403	1	[	[	X
ap-5826	403	2	6	6	NUM
ap-5826	403	3	]	]	PUNCT
ap-5826	403	4	l.	l.	PROPN
ap-5826	403	5	vincent	vincent	PROPN
ap-5826	403	6	.	.	PUNCT
ap-5826	404	1	morphological	morphological	ADJ
ap-5826	404	2	grayscale	grayscale	NOUN
ap-5826	404	3	reconstruction	reconstruction	NOUN
ap-5826	404	4	in	in	ADP
ap-5826	404	5	image	image	NOUN
ap-5826	404	6	analysis	analysis	NOUN
ap-5826	404	7	:	:	PUNCT
ap-5826	404	8	applications	application	NOUN
ap-5826	404	9	and	and	CCONJ
ap-5826	404	10	efficient	efficient	ADJ
ap-5826	404	11	algorithms	algorithm	NOUN
ap-5826	404	12	.	.	PUNCT
ap-5826	405	1	ieee	ieee	PROPN
ap-5826	405	2	trans	trans	PROPN
ap-5826	405	3	image	image	NOUN
ap-5826	405	4	process	process	NOUN
ap-5826	405	5	2(2):176–201	2(2):176–201	NUM
ap-5826	405	6	,	,	PUNCT
ap-5826	405	7	1993	1993	NUM
ap-5826	405	8	.	.	PUNCT
ap-5826	406	1	doi:10.1109/83.217222	doi:10.1109/83.217222	NOUN
ap-5826	406	2	.	.	PUNCT
ap-5826	407	1	[	[	X
ap-5826	407	2	7	7	X
ap-5826	407	3	]	]	X
ap-5826	407	4	j.	j.	PROPN
ap-5826	407	5	vaněk	vaněk	PROPN
ap-5826	407	6	,	,	PUNCT
ap-5826	407	7	j.	j.	PROPN
ap-5826	407	8	urban	urban	PROPN
ap-5826	407	9	,	,	PUNCT
ap-5826	407	10	z.	z.	PROPN
ap-5826	407	11	gardian	gardian	PROPN
ap-5826	407	12	.	.	PUNCT
ap-5826	407	13	automated	automate	VERB
ap-5826	407	14	detection	detection	NOUN
ap-5826	407	15	of	of	ADP
ap-5826	407	16	photosystems	photosystem	NOUN
ap-5826	407	17	ii	ii	PROPN
ap-5826	407	18	in	in	ADP
ap-5826	407	19	electron	electron	NOUN
ap-5826	407	20	microscope	microscope	NOUN
ap-5826	407	21	photographs	photograph	NOUN
ap-5826	407	22	.	.	PUNCT
ap-5826	408	1	technical	technical	ADJ
ap-5826	408	2	computing	computing	PROPN
ap-5826	408	3	prague	prague	PROPN
ap-5826	408	4	,	,	PUNCT
ap-5826	408	5	prague	prague	PROPN
ap-5826	408	6	,	,	PUNCT
ap-5826	408	7	czechia	czechia	VERB
ap-5826	408	8	pp	pp	PRON
ap-5826	408	9	.	.	PUNCT
ap-5826	409	1	102–105	102–105	NUM
ap-5826	409	2	,	,	PUNCT
ap-5826	409	3	2006	2006	NUM
ap-5826	409	4	.	.	PUNCT
ap-5826	410	1	[	[	X
ap-5826	410	2	8	8	NUM
ap-5826	410	3	]	]	PUNCT
ap-5826	410	4	a.	a.	NOUN
ap-5826	410	5	rényi	rényi	PROPN
ap-5826	410	6	.	.	PUNCT
ap-5826	411	1	on	on	ADP
ap-5826	411	2	measures	measure	NOUN
ap-5826	411	3	of	of	ADP
ap-5826	411	4	information	information	NOUN
ap-5826	411	5	and	and	CCONJ
ap-5826	411	6	entropy	entropy	NOUN
ap-5826	411	7	.	.	PUNCT
ap-5826	412	1	proc	proc	PROPN
ap-5826	412	2	4th	4th	PROPN
ap-5826	412	3	berkeley	berkeley	PROPN
ap-5826	412	4	symp	symp	PROPN
ap-5826	412	5	math	math	PROPN
ap-5826	412	6	stat	stat	PROPN
ap-5826	412	7	prob	prob	PROPN
ap-5826	412	8	1:547–561	1:547–561	PROPN
ap-5826	412	9	,	,	PUNCT
ap-5826	412	10	1961	1961	NUM
ap-5826	412	11	.	.	PUNCT
ap-5826	413	1	[	[	X
ap-5826	413	2	9	9	NUM
ap-5826	413	3	]	]	X
ap-5826	413	4	r.	r.	PROPN
ap-5826	413	5	moddemeijer	moddemeijer	PROPN
ap-5826	413	6	.	.	PUNCT
ap-5826	414	1	on	on	ADP
ap-5826	414	2	estimation	estimation	NOUN
ap-5826	414	3	of	of	ADP
ap-5826	414	4	entropy	entropy	NOUN
ap-5826	414	5	and	and	CCONJ
ap-5826	414	6	mutual	mutual	ADJ
ap-5826	414	7	information	information	NOUN
ap-5826	414	8	of	of	ADP
ap-5826	414	9	continuous	continuous	ADJ
ap-5826	414	10	distributions	distribution	NOUN
ap-5826	414	11	.	.	PUNCT
ap-5826	415	1	signal	signal	NOUN
ap-5826	415	2	process	process	NOUN
ap-5826	415	3	16(3):233–246	16(3):233–246	NUM
ap-5826	415	4	,	,	PUNCT
ap-5826	415	5	1989	1989	NUM
ap-5826	415	6	.	.	PUNCT
ap-5826	416	1	doi:10.1016/0165	doi:10.1016/0165	PROPN
ap-5826	416	2	-	-	PUNCT
ap-5826	416	3	1684(89)90132	1684(89)90132	NUM
ap-5826	416	4	-	-	PUNCT
ap-5826	416	5	1	1	NUM
ap-5826	416	6	.	.	PUNCT
ap-5826	417	1	[	[	X
ap-5826	417	2	10	10	NUM
ap-5826	417	3	]	]	X
ap-5826	417	4	t.	t.	PROPN
ap-5826	417	5	pun	pun	PROPN
ap-5826	417	6	.	.	PUNCT
ap-5826	418	1	a	a	DET
ap-5826	418	2	new	new	ADJ
ap-5826	418	3	method	method	NOUN
ap-5826	418	4	for	for	ADP
ap-5826	418	5	grey	grey	ADJ
ap-5826	418	6	-	-	PUNCT
ap-5826	418	7	level	level	NOUN
ap-5826	418	8	picture	picture	NOUN
ap-5826	418	9	thresholding	thresholde	VERB
ap-5826	418	10	using	use	VERB
ap-5826	418	11	the	the	DET
ap-5826	418	12	entropy	entropy	NOUN
ap-5826	418	13	of	of	ADP
ap-5826	418	14	the	the	DET
ap-5826	418	15	histogram	histogram	NOUN
ap-5826	418	16	.	.	PUNCT
ap-5826	419	1	signal	signal	PROPN
ap-5826	419	2	process	process	NOUN
ap-5826	419	3	2(3):223–237	2(3):223–237	NUM
ap-5826	419	4	,	,	PUNCT
ap-5826	419	5	1980	1980	NUM
ap-5826	419	6	.	.	PUNCT
ap-5826	420	1	doi:10.1016/0734	doi:10.1016/0734	ADV
ap-5826	420	2	-	-	PUNCT
ap-5826	420	3	189x(85)90125	189x(85)90125	NUM
ap-5826	420	4	-	-	PUNCT
ap-5826	420	5	2	2	NUM
ap-5826	420	6	.	.	PUNCT
ap-5826	421	1	[	[	X
ap-5826	421	2	11	11	NUM
ap-5826	421	3	]	]	PUNCT
ap-5826	421	4	p.	p.	NOUN
ap-5826	421	5	iliev	iliev	PROPN
ap-5826	421	6	,	,	PUNCT
ap-5826	421	7	p.	p.	NOUN
ap-5826	421	8	tzvetkov	tzvetkov	PROPN
ap-5826	421	9	,	,	PUNCT
ap-5826	421	10	g.	g.	PROPN
ap-5826	421	11	petrov	petrov	PROPN
ap-5826	421	12	.	.	PUNCT
ap-5826	422	1	multidimensional	multidimensional	ADJ
ap-5826	422	2	dynamic	dynamic	ADJ
ap-5826	422	3	scene	scene	NOUN
ap-5826	422	4	analysis	analysis	NOUN
ap-5826	422	5	using	use	VERB
ap-5826	422	6	3d	3d	NUM
ap-5826	422	7	image	image	NOUN
ap-5826	422	8	histogram	histogram	NOUN
ap-5826	422	9	and	and	CCONJ
ap-5826	422	10	entropy	entropy	VERB
ap-5826	422	11	sequences	sequence	NOUN
ap-5826	422	12	analysis	analysis	NOUN
ap-5826	422	13	(	(	PUNCT
ap-5826	422	14	bulgarian	bulgarian	NOUN
ap-5826	422	15	)	)	PUNCT
ap-5826	422	16	.	.	PUNCT
ap-5826	423	1	int	int	PROPN
ap-5826	423	2	j	j	PROPN
ap-5826	423	3	comp	comp	PROPN
ap-5826	423	4	6(1):35–43	6(1):35–43	NUM
ap-5826	423	5	,	,	PUNCT
ap-5826	423	6	2007	2007	NUM
ap-5826	423	7	.	.	PUNCT
ap-5826	424	1	[	[	X
ap-5826	424	2	12	12	NUM
ap-5826	424	3	]	]	PUNCT
ap-5826	424	4	a.	a.	NOUN
ap-5826	424	5	zhyrova	zhyrova	PROPN
ap-5826	424	6	,	,	PUNCT
ap-5826	424	7	d.	d.	PROPN
ap-5826	424	8	stys	stys	PROPN
ap-5826	424	9	,	,	PUNCT
ap-5826	424	10	p.	p.	PROPN
ap-5826	424	11	cisar	cisar	PROPN
ap-5826	424	12	.	.	PUNCT
ap-5826	425	1	information	information	NOUN
ap-5826	425	2	entropy	entropy	PROPN
ap-5826	425	3	approach	approach	NOUN
ap-5826	425	4	as	as	ADP
ap-5826	425	5	a	a	DET
ap-5826	425	6	method	method	NOUN
ap-5826	425	7	of	of	ADP
ap-5826	425	8	analysing	analyse	VERB
ap-5826	425	9	belousov	belousov	PROPN
ap-5826	425	10	-	-	PUNCT
ap-5826	425	11	zhabotinsky	zhabotinsky	ADJ
ap-5826	425	12	reaction	reaction	NOUN
ap-5826	425	13	wave	wave	NOUN
ap-5826	425	14	formation	formation	NOUN
ap-5826	425	15	.	.	PUNCT
ap-5826	426	1	chem	chem	NOUN
ap-5826	426	2	listy	listy	PROPN
ap-5826	426	3	107(suppl	107(suppl	PROPN
ap-5826	426	4	.	.	PUNCT
ap-5826	427	1	3):s341	3):s341	NUM
ap-5826	427	2	–	–	PUNCT
ap-5826	427	3	s342	s342	NUM
ap-5826	427	4	,	,	PUNCT
ap-5826	427	5	2013	2013	NUM
ap-5826	427	6	.	.	PUNCT
ap-5826	428	1	[	[	X
ap-5826	428	2	13	13	NUM
ap-5826	428	3	]	]	PUNCT
ap-5826	428	4	r.	r.	PROPN
ap-5826	428	5	rychtáriková	rychtáriková	PROPN
ap-5826	428	6	.	.	PUNCT
ap-5826	429	1	clustering	cluster	VERB
ap-5826	429	2	of	of	ADP
ap-5826	429	3	multi	multi	ADJ
ap-5826	429	4	-	-	ADJ
ap-5826	429	5	image	image	ADJ
ap-5826	429	6	sets	set	NOUN
ap-5826	429	7	using	use	VERB
ap-5826	429	8	rényi	rényi	PROPN
ap-5826	429	9	information	information	NOUN
ap-5826	429	10	entropy	entropy	NOUN
ap-5826	429	11	.	.	PUNCT
ap-5826	430	1	in	in	ADP
ap-5826	430	2	f.	f.	PROPN
ap-5826	430	3	ortuño	ortuño	PROPN
ap-5826	430	4	,	,	PUNCT
ap-5826	430	5	i.	i.	PROPN
ap-5826	430	6	rojas	rojas	PROPN
ap-5826	430	7	(	(	PUNCT
ap-5826	430	8	eds	eds	PROPN
ap-5826	430	9	.	.	PUNCT
ap-5826	430	10	)	)	PUNCT
ap-5826	430	11	,	,	PUNCT
ap-5826	430	12	iwbbio	iwbbio	NOUN
ap-5826	430	13	2016	2016	NUM
ap-5826	430	14	,	,	PUNCT
ap-5826	430	15	lect	lect	PROPN
ap-5826	430	16	notes	note	NOUN
ap-5826	430	17	bioinf	bioinf	VERB
ap-5826	430	18	,	,	PUNCT
ap-5826	430	19	vol	vol	NOUN
ap-5826	430	20	.	.	PROPN
ap-5826	431	1	9656	9656	NUM
ap-5826	431	2	,	,	PUNCT
ap-5826	431	3	pp	pp	ADP
ap-5826	431	4	.	.	PUNCT
ap-5826	432	1	517–526	517–526	NUM
ap-5826	432	2	.	.	PUNCT
ap-5826	433	1	2016	2016	NUM
ap-5826	433	2	.	.	PUNCT
ap-5826	434	1	doi:10.1007/978	doi:10.1007/978	NOUN
ap-5826	434	2	-	-	PUNCT
ap-5826	434	3	3	3	NUM
ap-5826	434	4	-	-	NUM
ap-5826	434	5	319	319	NUM
ap-5826	434	6	-	-	PUNCT
ap-5826	434	7	31744	31744	NUM
ap-5826	434	8	-	-	SYM
ap-5826	434	9	1_46	1_46	NUM
ap-5826	434	10	.	.	PUNCT
ap-5826	435	1	[	[	X
ap-5826	435	2	14	14	NUM
ap-5826	435	3	]	]	X
ap-5826	435	4	r.	r.	PROPN
ap-5826	435	5	rychtáriková	rychtáriková	PROPN
ap-5826	435	6	,	,	PUNCT
ap-5826	435	7	t.	t.	NOUN
ap-5826	435	8	náhlík	náhlík	PROPN
ap-5826	435	9	,	,	PUNCT
ap-5826	435	10	k.	k.	PROPN
ap-5826	435	11	shi	shi	PROPN
ap-5826	435	12	,	,	PUNCT
ap-5826	435	13	et	et	PROPN
ap-5826	435	14	al	al	PROPN
ap-5826	435	15	.	.	PROPN
ap-5826	435	16	superresolved	superresolve	VERB
ap-5826	435	17	3	3	NUM
ap-5826	435	18	-	-	SYM
ap-5826	435	19	d	d	NOUN
ap-5826	435	20	imaging	imaging	NOUN
ap-5826	435	21	of	of	ADP
ap-5826	435	22	live	live	ADJ
ap-5826	435	23	cell	cell	NOUN
ap-5826	435	24	’s	’s	PART
ap-5826	435	25	organelles	organelle	NOUN
ap-5826	435	26	from	from	ADP
ap-5826	435	27	brightfield	brightfield	NOUN
ap-5826	435	28	photon	photon	NOUN
ap-5826	435	29	transmission	transmission	NOUN
ap-5826	435	30	micrographs	micrograph	NOUN
ap-5826	435	31	.	.	PUNCT
ap-5826	436	1	ultramicroscopy	ultramicroscopy	NOUN
ap-5826	436	2	179:1–14	179:1–14	NUM
ap-5826	436	3	,	,	PUNCT
ap-5826	436	4	2017	2017	NUM
ap-5826	436	5	.	.	PUNCT
ap-5826	437	1	doi:10.1016	doi:10.1016	PROPN
ap-5826	437	2	/	/	SYM
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ap-5826	437	4	.	.	PUNCT
ap-5826	438	1	[	[	X
ap-5826	438	2	15	15	NUM
ap-5826	438	3	]	]	PUNCT
ap-5826	438	4	a.	a.	NOUN
ap-5826	438	5	zhyrova	zhyrova	PROPN
ap-5826	438	6	,	,	PUNCT
ap-5826	438	7	d.	d.	PROPN
ap-5826	438	8	štys	štys	PROPN
ap-5826	438	9	.	.	PUNCT
ap-5826	439	1	construction	construction	NOUN
ap-5826	439	2	of	of	ADP
ap-5826	439	3	the	the	DET
ap-5826	439	4	phenomenological	phenomenological	ADJ
ap-5826	439	5	model	model	NOUN
ap-5826	439	6	of	of	ADP
ap-5826	439	7	belousov	belousov	PROPN
ap-5826	439	8	-	-	PUNCT
ap-5826	439	9	zhabotinsky	zhabotinsky	PROPN
ap-5826	439	10	reaction	reaction	NOUN
ap-5826	439	11	state	state	NOUN
ap-5826	439	12	.	.	PUNCT
ap-5826	440	1	int	int	PROPN
ap-5826	440	2	j	j	PROPN
ap-5826	440	3	comp	comp	PROPN
ap-5826	440	4	math	math	PROPN
ap-5826	440	5	91(1):4–13	91(1):4–13	NUM
ap-5826	440	6	,	,	PUNCT
ap-5826	440	7	2014	2014	NUM
ap-5826	440	8	.	.	PUNCT
ap-5826	441	1	doi:10.1080/00207160.2013.766332	doi:10.1080/00207160.2013.766332	NOUN
ap-5826	441	2	.	.	PUNCT
ap-5826	442	1	[	[	X
ap-5826	442	2	16	16	NUM
ap-5826	442	3	]	]	X
ap-5826	442	4	d.	d.	PROPN
ap-5826	442	5	štys	štys	PROPN
ap-5826	442	6	,	,	PUNCT
ap-5826	442	7	j.	j.	PROPN
ap-5826	442	8	urban	urban	PROPN
ap-5826	442	9	,	,	PUNCT
ap-5826	442	10	r.	r.	PROPN
ap-5826	442	11	rychtáriková	rychtáriková	PROPN
ap-5826	442	12	,	,	PUNCT
ap-5826	442	13	et	et	PROPN
ap-5826	442	14	al	al	PROPN
ap-5826	442	15	.	.	PROPN
ap-5826	442	16	measurement	measurement	PROPN
ap-5826	442	17	in	in	ADP
ap-5826	442	18	biological	biological	ADJ
ap-5826	442	19	systems	system	NOUN
ap-5826	442	20	from	from	ADP
ap-5826	442	21	the	the	DET
ap-5826	442	22	self	self	NOUN
ap-5826	442	23	-	-	PUNCT
ap-5826	442	24	organisation	organisation	NOUN
ap-5826	442	25	point	point	NOUN
ap-5826	442	26	of	of	ADP
ap-5826	442	27	view	view	NOUN
ap-5826	442	28	.	.	PUNCT
ap-5826	443	1	in	in	ADP
ap-5826	443	2	f.	f.	PROPN
ap-5826	443	3	ortuño	ortuño	PROPN
ap-5826	443	4	,	,	PUNCT
ap-5826	443	5	i.	i.	PROPN
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ap-5826	443	7	(	(	PUNCT
ap-5826	443	8	eds	eds	PROPN
ap-5826	443	9	.	.	PUNCT
ap-5826	443	10	)	)	PUNCT
ap-5826	443	11	,	,	PUNCT
ap-5826	443	12	iwbbio	iwbbio	NOUN
ap-5826	443	13	2015	2015	NUM
ap-5826	443	14	,	,	PUNCT
ap-5826	443	15	lect	lect	ADJ
ap-5826	443	16	notes	note	NOUN
ap-5826	443	17	bioinf	bioinf	VERB
ap-5826	443	18	,	,	PUNCT
ap-5826	443	19	vol	vol	NOUN
ap-5826	443	20	.	.	PUNCT
ap-5826	444	1	9044	9044	NUM
ap-5826	444	2	,	,	PUNCT
ap-5826	444	3	pp	pp	ADJ
ap-5826	444	4	.	.	PUNCT
ap-5826	445	1	431–443	431–443	NUM
ap-5826	445	2	.	.	X
ap-5826	446	1	2015	2015	NUM
ap-5826	446	2	.	.	PUNCT
ap-5826	447	1	doi:10.1007/978	doi:10.1007/978	NOUN
ap-5826	447	2	-	-	PUNCT
ap-5826	447	3	3	3	NUM
ap-5826	447	4	-	-	NUM
ap-5826	447	5	319	319	NUM
ap-5826	447	6	-	-	PUNCT
ap-5826	447	7	16480	16480	NUM
ap-5826	447	8	-	-	PUNCT
ap-5826	447	9	9\_43	9\_43	NOUN
ap-5826	447	10	.	.	PUNCT
ap-5826	448	1	[	[	X
ap-5826	448	2	17	17	NUM
ap-5826	448	3	]	]	X
ap-5826	448	4	r.	r.	PROPN
ap-5826	448	5	rychtáriková	rychtáriková	PROPN
ap-5826	448	6	,	,	PUNCT
ap-5826	448	7	j.	j.	PROPN
ap-5826	448	8	korbel	korbel	PROPN
ap-5826	448	9	,	,	PUNCT
ap-5826	448	10	p.	p.	PROPN
ap-5826	448	11	macháček	macháček	PROPN
ap-5826	448	12	,	,	PUNCT
ap-5826	448	13	et	et	PROPN
ap-5826	448	14	al	al	PROPN
ap-5826	448	15	.	.	PROPN
ap-5826	448	16	point	point	PROPN
ap-5826	448	17	information	information	NOUN
ap-5826	448	18	gain	gain	NOUN
ap-5826	448	19	and	and	CCONJ
ap-5826	448	20	multidimensional	multidimensional	ADJ
ap-5826	448	21	data	datum	NOUN
ap-5826	448	22	analysis	analysis	NOUN
ap-5826	448	23	.	.	PUNCT
ap-5826	449	1	entropy	entropy	PROPN
ap-5826	449	2	18(10):372	18(10):372	NUM
ap-5826	449	3	,	,	PUNCT
ap-5826	449	4	2016	2016	NUM
ap-5826	449	5	.	.	PUNCT
ap-5826	450	1	doi:10.3390	doi:10.3390	NOUN
ap-5826	450	2	/	/	SYM
ap-5826	450	3	e18100372	e18100372	PROPN
ap-5826	450	4	.	.	PUNCT
ap-5826	451	1	[	[	X
ap-5826	451	2	18	18	NUM
ap-5826	451	3	]	]	PUNCT
ap-5826	451	4	t.	t.	NOUN
ap-5826	451	5	náhlík	náhlík	NOUN
ap-5826	451	6	,	,	PUNCT
ap-5826	451	7	j.	j.	PROPN
ap-5826	451	8	urban	urban	PROPN
ap-5826	451	9	,	,	PUNCT
ap-5826	451	10	p.	p.	PROPN
ap-5826	451	11	císař	císař	PROPN
ap-5826	451	12	,	,	PUNCT
ap-5826	451	13	et	et	PROPN
ap-5826	451	14	al	al	PROPN
ap-5826	451	15	.	.	PROPN
ap-5826	451	16	entropy	entropy	PROPN
ap-5826	451	17	based	base	VERB
ap-5826	451	18	approximation	approximation	NOUN
ap-5826	451	19	to	to	ADP
ap-5826	451	20	cell	cell	NOUN
ap-5826	451	21	monolayer	monolayer	NOUN
ap-5826	451	22	development	development	NOUN
ap-5826	451	23	.	.	PUNCT
ap-5826	452	1	in	in	ADP
ap-5826	452	2	a.	a.	NOUN
ap-5826	452	3	jobbággy	jobbággy	PROPN
ap-5826	452	4	(	(	PUNCT
ap-5826	452	5	ed	ed	NOUN
ap-5826	452	6	.	.	PUNCT
ap-5826	452	7	)	)	PUNCT
ap-5826	452	8	,	,	PUNCT
ap-5826	452	9	5th	5th	ADJ
ap-5826	452	10	ifmbe	ifmbe	NOUN
ap-5826	452	11	,	,	PUNCT
ap-5826	452	12	ifmbe	ifmbe	NOUN
ap-5826	452	13	proc	proc	PROPN
ap-5826	452	14	.	.	PROPN
ap-5826	452	15	,	,	PUNCT
ap-5826	452	16	vol	vol	NOUN
ap-5826	452	17	.	.	PROPN
ap-5826	453	1	37	37	NUM
ap-5826	453	2	,	,	PUNCT
ap-5826	453	3	pp	pp	ADJ
ap-5826	453	4	.	.	PUNCT
ap-5826	454	1	563–566	563–566	NUM
ap-5826	454	2	.	.	PUNCT
ap-5826	455	1	2011	2011	NUM
ap-5826	455	2	.	.	PUNCT
ap-5826	456	1	doi:10.1007/978	doi:10.1007/978	ADJ
ap-5826	456	2	-	-	PUNCT
ap-5826	456	3	3	3	NUM
ap-5826	456	4	-	-	PUNCT
ap-5826	456	5	642	642	NUM
ap-5826	456	6	-	-	PUNCT
ap-5826	456	7	23508	23508	NUM
ap-5826	456	8	-	-	SYM
ap-5826	456	9	5_146	5_146	NUM
ap-5826	456	10	.	.	NOUN
ap-5826	456	11	599	599	NUM
ap-5826	456	12	http://dx.doi.org/10.1109/tsmc.1979.4310076	http://dx.doi.org/10.1109/tsmc.1979.4310076	VERB
ap-5826	456	13	http://dx.doi.org/10.1007/3-540-63931-4_278	http://dx.doi.org/10.1007/3-540-63931-4_278	PROPN
ap-5826	456	14	http://dx.doi.org/10.1109/83.217222	http://dx.doi.org/10.1109/83.217222	PROPN
ap-5826	456	15	http://dx.doi.org/10.1016/0165-1684(89)90132-1	http://dx.doi.org/10.1016/0165-1684(89)90132-1	PROPN
ap-5826	456	16	http://dx.doi.org/10.1016/0734-189x(85)90125-2	http://dx.doi.org/10.1016/0734-189x(85)90125-2	INTJ
ap-5826	457	1	http://dx.doi.org/10.1007/978-3-319-31744-1_46	http://dx.doi.org/10.1007/978-3-319-31744-1_46	ADJ
ap-5826	457	2	http://dx.doi.org/10.1016/j.ultramic.2017.03.018	http://dx.doi.org/10.1016/j.ultramic.2017.03.018	PROPN
ap-5826	457	3	http://dx.doi.org/10.1080/00207160.2013.766332	http://dx.doi.org/10.1080/00207160.2013.766332	NOUN
ap-5826	457	4	http://dx.doi.org/10.1007/978-3-319-16480-9\_43	http://dx.doi.org/10.1007/978-3-319-16480-9\_43	NOUN
ap-5826	458	1	http://dx.doi.org/10.3390/e18100372	http://dx.doi.org/10.3390/e18100372	DET
ap-5826	458	2	http://dx.doi.org/10.1007/978-3-642-23508-5_146	http://dx.doi.org/10.1007/978-3-642-23508-5_146	PROPN
ap-5826	458	3	j.	j.	PROPN
ap-5826	458	4	urban	urban	PROPN
ap-5826	458	5	,	,	PUNCT
ap-5826	458	6	r.	r.	PROPN
ap-5826	458	7	rychtáriková	rychtáriková	PROPN
ap-5826	458	8	,	,	PUNCT
ap-5826	458	9	p.	p.	PROPN
ap-5826	458	10	macháček	macháček	PROPN
ap-5826	458	11	et	et	PROPN
ap-5826	458	12	al	al	PROPN
ap-5826	458	13	.	.	PROPN
ap-5826	458	14	acta	acta	PROPN
ap-5826	458	15	polytechnica	polytechnica	PROPN
ap-5826	459	1	[	[	X
ap-5826	459	2	19	19	NUM
ap-5826	459	3	]	]	PUNCT
ap-5826	459	4	t.	t.	NOUN
ap-5826	459	5	náhlík	náhlík	PROPN
ap-5826	459	6	,	,	PUNCT
ap-5826	459	7	d.	d.	PROPN
ap-5826	459	8	štys	štys	PROPN
ap-5826	459	9	.	.	PUNCT
ap-5826	459	10	microscope	microscope	PROPN
ap-5826	459	11	point	point	NOUN
ap-5826	459	12	spread	spread	VERB
ap-5826	459	13	function	function	NOUN
ap-5826	459	14	,	,	PUNCT
ap-5826	459	15	focus	focus	NOUN
ap-5826	459	16	and	and	CCONJ
ap-5826	459	17	calculation	calculation	NOUN
ap-5826	459	18	of	of	ADP
ap-5826	459	19	optimal	optimal	ADJ
ap-5826	459	20	microscope	microscope	NOUN
ap-5826	459	21	set	set	NOUN
ap-5826	459	22	-	-	PUNCT
ap-5826	459	23	up	up	NOUN
ap-5826	459	24	.	.	PUNCT
ap-5826	460	1	int	int	NOUN
ap-5826	460	2	j	j	PROPN
ap-5826	460	3	comp	comp	PROPN
ap-5826	460	4	math	math	PROPN
ap-5826	460	5	91(2):221–232	91(2):221–232	PROPN
ap-5826	460	6	,	,	PUNCT
ap-5826	460	7	2014	2014	NUM
ap-5826	460	8	.	.	PUNCT
ap-5826	461	1	doi:10.1080/00207160.2013.851379	doi:10.1080/00207160.2013.851379	PROPN
ap-5826	461	2	.	.	PUNCT
ap-5826	462	1	[	[	X
ap-5826	462	2	20	20	NUM
ap-5826	462	3	]	]	PUNCT
ap-5826	462	4	j.	j.	PROPN
ap-5826	462	5	urban	urban	PROPN
ap-5826	462	6	,	,	PUNCT
ap-5826	462	7	j.	j.	PROPN
ap-5826	462	8	vanek	vanek	PROPN
ap-5826	462	9	,	,	PUNCT
ap-5826	462	10	d.	d.	PROPN
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ap-5826	462	12	.	.	PUNCT
ap-5826	463	1	preprocessing	preprocesse	VERB
ap-5826	463	2	of	of	ADP
ap-5826	463	3	microscopy	microscopy	NOUN
ap-5826	463	4	images	image	NOUN
ap-5826	463	5	via	via	ADP
ap-5826	463	6	shannon	shannon	PROPN
ap-5826	463	7	’s	’s	PART
ap-5826	463	8	entropy	entropy	PROPN
ap-5826	463	9	.	.	PUNCT
ap-5826	464	1	prip	prip	NOUN
ap-5826	464	2	2009	2009	NUM
ap-5826	464	3	,	,	PUNCT
ap-5826	464	4	belarusian	belarusian	ADJ
ap-5826	464	5	state	state	PROPN
ap-5826	464	6	university	university	PROPN
ap-5826	464	7	,	,	PUNCT
ap-5826	464	8	belarussia	belarussia	PROPN
ap-5826	464	9	.	.	PUNCT
ap-5826	465	1	proc	proc	PROPN
ap-5826	465	2	prip	prip	NOUN
ap-5826	465	3	2009	2009	NUM
ap-5826	465	4	pp	pp	NOUN
ap-5826	465	5	.	.	PUNCT
ap-5826	466	1	183–187	183–187	NUM
ap-5826	466	2	,	,	PUNCT
ap-5826	466	3	2009	2009	NUM
ap-5826	466	4	.	.	PUNCT
ap-5826	467	1	[	[	X
ap-5826	467	2	21	21	NUM
ap-5826	467	3	]	]	X
ap-5826	467	4	j.	j.	PROPN
ap-5826	467	5	urban	urban	PROPN
ap-5826	467	6	,	,	PUNCT
ap-5826	467	7	j.	j.	PROPN
ap-5826	467	8	vaněk	vaněk	PROPN
ap-5826	467	9	.	.	PUNCT
ap-5826	468	1	preprocessing	preprocesse	VERB
ap-5826	468	2	of	of	ADP
ap-5826	468	3	microscopy	microscopy	NOUN
ap-5826	468	4	images	image	NOUN
ap-5826	468	5	via	via	ADP
ap-5826	468	6	shannon	shannon	PROPN
ap-5826	468	7	’s	’s	PART
ap-5826	468	8	entropy	entropy	PROPN
ap-5826	468	9	on	on	ADP
ap-5826	468	10	gpu	gpu	PROPN
ap-5826	468	11	.	.	PROPN
ap-5826	468	12	gravisma	gravisma	PROPN
ap-5826	468	13	2009	2009	NUM
ap-5826	468	14	,	,	PUNCT
ap-5826	468	15	pilsen	pilsen	PROPN
ap-5826	468	16	,	,	PUNCT
ap-5826	468	17	czechia	czechia	PROPN
ap-5826	468	18	.	.	PUNCT
ap-5826	469	1	workshop	workshop	NOUN
ap-5826	469	2	proc	proc	NOUN
ap-5826	469	3	pp	pp	PROPN
ap-5826	469	4	.	.	PUNCT
ap-5826	470	1	48–51	48–51	NUM
ap-5826	470	2	,	,	PUNCT
ap-5826	470	3	2009	2009	NUM
ap-5826	470	4	.	.	PUNCT
ap-5826	471	1	[	[	X
ap-5826	471	2	22	22	NUM
ap-5826	471	3	]	]	X
ap-5826	471	4	j.	j.	PROPN
ap-5826	471	5	urban	urban	PROPN
ap-5826	471	6	,	,	PUNCT
ap-5826	471	7	j.	j.	PROPN
ap-5826	471	8	vaněk	vaněk	PROPN
ap-5826	471	9	,	,	PUNCT
ap-5826	471	10	d.	d.	PROPN
ap-5826	471	11	stys	stys	PROPN
ap-5826	471	12	.	.	PUNCT
ap-5826	472	1	preprocessing	preprocesse	VERB
ap-5826	472	2	of	of	ADP
ap-5826	472	3	microscopy	microscopy	NOUN
ap-5826	472	4	images	image	NOUN
ap-5826	472	5	via	via	ADP
ap-5826	472	6	shannon	shannon	PROPN
ap-5826	472	7	’s	’s	PART
ap-5826	472	8	entropy	entropy	PROPN
ap-5826	472	9	,	,	PUNCT
ap-5826	472	10	öagm	öagm	ADJ
ap-5826	472	11	/	/	SYM
ap-5826	472	12	aapr	aapr	NOUN
ap-5826	472	13	workshop	workshop	NOUN
ap-5826	472	14	,	,	PUNCT
ap-5826	472	15	graz	graz	PROPN
ap-5826	472	16	,	,	PUNCT
ap-5826	472	17	austria	austria	PROPN
ap-5826	472	18	.	.	PUNCT
ap-5826	473	1	öagm	öagm	PROPN
ap-5826	473	2	/	/	SYM
ap-5826	473	3	aapr	aapr	NOUN
ap-5826	473	4	workshop	workshop	NOUN
ap-5826	473	5	pp	pp	X
ap-5826	473	6	.	.	PUNCT
ap-5826	474	1	48–51	48–51	NUM
ap-5826	474	2	,	,	PUNCT
ap-5826	474	3	2011	2011	NUM
ap-5826	474	4	.	.	PUNCT
ap-5826	475	1	[	[	X
ap-5826	475	2	23	23	NUM
ap-5826	475	3	]	]	PUNCT
ap-5826	475	4	t.	t.	NOUN
ap-5826	475	5	boublík	boublík	PROPN
ap-5826	475	6	.	.	PUNCT
ap-5826	476	1	statistická	statistická	PROPN
ap-5826	476	2	termodynamika	termodynamika	PROPN
ap-5826	476	3	(	(	PUNCT
ap-5826	476	4	czech	czech	PROPN
ap-5826	476	5	)	)	PUNCT
ap-5826	476	6	.	.	PUNCT
ap-5826	477	1	statistical	statistical	ADJ
ap-5826	477	2	thermodynamics	thermodynamic	NOUN
ap-5826	477	3	.	.	PUNCT
ap-5826	478	1	academia	academia	NOUN
ap-5826	478	2	,	,	PUNCT
ap-5826	478	3	prague	prague	PROPN
ap-5826	478	4	,	,	PUNCT
ap-5826	478	5	czechia	czechia	PROPN
ap-5826	478	6	,	,	PUNCT
ap-5826	478	7	1996	1996	NUM
ap-5826	478	8	.	.	PUNCT
ap-5826	479	1	[	[	X
ap-5826	479	2	24	24	NUM
ap-5826	479	3	]	]	PUNCT
ap-5826	479	4	p.	p.	NOUN
ap-5826	479	5	jizba	jizba	PROPN
ap-5826	479	6	,	,	PUNCT
ap-5826	479	7	t.	t.	NOUN
ap-5826	479	8	arimitsu	arimitsu	NOUN
ap-5826	479	9	.	.	PUNCT
ap-5826	480	1	the	the	DET
ap-5826	480	2	world	world	NOUN
ap-5826	480	3	according	accord	VERB
ap-5826	480	4	to	to	ADP
ap-5826	480	5	rényi	rényi	NOUN
ap-5826	480	6	:	:	PUNCT
ap-5826	480	7	thermodynamics	thermodynamic	NOUN
ap-5826	480	8	of	of	ADP
ap-5826	480	9	multifractal	multifractal	ADJ
ap-5826	480	10	systems	system	NOUN
ap-5826	480	11	.	.	PUNCT
ap-5826	481	1	ann	ann	PROPN
ap-5826	481	2	phys	phys	PROPN
ap-5826	481	3	312(1):17–59	312(1):17–59	NUM
ap-5826	481	4	,	,	PUNCT
ap-5826	481	5	2004	2004	NUM
ap-5826	481	6	.	.	PUNCT
ap-5826	482	1	doi:10.1016	doi:10.1016	PROPN
ap-5826	482	2	/	/	SYM
ap-5826	482	3	j.aop.2004.01.002	j.aop.2004.01.002	PROPN
ap-5826	482	4	.	.	PUNCT
ap-5826	483	1	[	[	X
ap-5826	483	2	25	25	NUM
ap-5826	483	3	]	]	X
ap-5826	483	4	c.	c.	PROPN
ap-5826	483	5	e.	e.	PROPN
ap-5826	483	6	shannon	shannon	PROPN
ap-5826	483	7	.	.	PUNCT
ap-5826	484	1	a	a	DET
ap-5826	484	2	mathematical	mathematical	ADJ
ap-5826	484	3	theory	theory	NOUN
ap-5826	484	4	of	of	ADP
ap-5826	484	5	communication	communication	NOUN
ap-5826	484	6	.	.	PUNCT
ap-5826	485	1	bell	bell	PROPN
ap-5826	485	2	syst	syst	PROPN
ap-5826	485	3	techn	techn	PROPN
ap-5826	485	4	j	j	PROPN
ap-5826	485	5	27(3):379–423	27(3):379–423	PROPN
ap-5826	485	6	,	,	PUNCT
ap-5826	485	7	1948	1948	NUM
ap-5826	485	8	.	.	PUNCT
ap-5826	486	1	doi:10.1002	doi:10.1002	NOUN
ap-5826	486	2	/	/	SYM
ap-5826	486	3	j.1538	j.1538	NOUN
ap-5826	486	4	-	-	PUNCT
ap-5826	486	5	7305.1948.tb01338.x	7305.1948.tb01338.x	NUM
ap-5826	486	6	.	.	PUNCT
ap-5826	487	1	[	[	X
ap-5826	487	2	26	26	NUM
ap-5826	487	3	]	]	X
ap-5826	487	4	c.	c.	PROPN
ap-5826	487	5	e.	e.	PROPN
ap-5826	487	6	shannon	shannon	PROPN
ap-5826	487	7	.	.	PUNCT
ap-5826	488	1	a	a	DET
ap-5826	488	2	mathematical	mathematical	ADJ
ap-5826	488	3	theory	theory	NOUN
ap-5826	488	4	of	of	ADP
ap-5826	488	5	communication	communication	NOUN
ap-5826	488	6	.	.	PUNCT
ap-5826	489	1	bell	bell	PROPN
ap-5826	489	2	syst	syst	PROPN
ap-5826	489	3	techn	techn	PROPN
ap-5826	489	4	j	j	PROPN
ap-5826	489	5	27(4):623–656	27(4):623–656	PROPN
ap-5826	489	6	,	,	PUNCT
ap-5826	489	7	1948	1948	NUM
ap-5826	489	8	.	.	PUNCT
ap-5826	490	1	doi:10.1002	doi:10.1002	NOUN
ap-5826	490	2	/	/	SYM
ap-5826	490	3	j.1538	j.1538	NOUN
ap-5826	490	4	-	-	PUNCT
ap-5826	490	5	7305.1948.tb00917.x	7305.1948.tb00917.x	NOUN
ap-5826	490	6	.	.	PUNCT
ap-5826	491	1	[	[	X
ap-5826	491	2	27	27	NUM
ap-5826	491	3	]	]	X
ap-5826	491	4	o.	o.	PROPN
ap-5826	491	5	demirkaya	demirkaya	PROPN
ap-5826	491	6	,	,	PUNCT
ap-5826	491	7	m.	m.	PROPN
ap-5826	491	8	h.	h.	PROPN
ap-5826	491	9	asyali	asyali	PROPN
ap-5826	491	10	,	,	PUNCT
ap-5826	491	11	p.	p.	PROPN
ap-5826	491	12	k.	k.	PROPN
ap-5826	492	1	sahoo	sahoo	PROPN
ap-5826	492	2	.	.	PUNCT
ap-5826	492	3	image	image	NOUN
ap-5826	492	4	processing	processing	NOUN
ap-5826	492	5	with	with	ADP
ap-5826	492	6	matlab	matlab	PROPN
ap-5826	492	7	:	:	PUNCT
ap-5826	492	8	applications	application	NOUN
ap-5826	492	9	in	in	ADP
ap-5826	492	10	medicine	medicine	NOUN
ap-5826	492	11	and	and	CCONJ
ap-5826	492	12	biology	biology	NOUN
ap-5826	492	13	.	.	PUNCT
ap-5826	493	1	crc	crc	PROPN
ap-5826	493	2	press	press	PROPN
ap-5826	493	3	,	,	PUNCT
ap-5826	493	4	2009	2009	NUM
ap-5826	493	5	.	.	PUNCT
ap-5826	494	1	[	[	X
ap-5826	494	2	28	28	NUM
ap-5826	494	3	]	]	X
ap-5826	494	4	m.	m.	NOUN
ap-5826	494	5	nixon	nixon	PROPN
ap-5826	494	6	,	,	PUNCT
ap-5826	494	7	a.	a.	NOUN
ap-5826	494	8	aguado	aguado	NOUN
ap-5826	494	9	.	.	PUNCT
ap-5826	495	1	feature	feature	NOUN
ap-5826	495	2	extraction	extraction	NOUN
ap-5826	495	3	&	&	CCONJ
ap-5826	495	4	image	image	NOUN
ap-5826	495	5	processing	processing	NOUN
ap-5826	495	6	.	.	PUNCT
ap-5826	496	1	academic	academic	ADJ
ap-5826	496	2	press	press	NOUN
ap-5826	496	3	,	,	PUNCT
ap-5826	496	4	2002	2002	NUM
ap-5826	496	5	.	.	PUNCT
ap-5826	497	1	[	[	X
ap-5826	497	2	29	29	NUM
ap-5826	497	3	]	]	X
ap-5826	497	4	s.	s.	PROPN
ap-5826	497	5	kullback	kullback	PROPN
ap-5826	497	6	,	,	PUNCT
ap-5826	497	7	r.	r.	PROPN
ap-5826	497	8	a.	a.	PROPN
ap-5826	497	9	leibler	leibler	PROPN
ap-5826	497	10	.	.	PUNCT
ap-5826	498	1	on	on	ADP
ap-5826	498	2	information	information	NOUN
ap-5826	498	3	and	and	CCONJ
ap-5826	498	4	sufficiency	sufficiency	NOUN
ap-5826	498	5	.	.	PUNCT
ap-5826	499	1	ann	ann	PROPN
ap-5826	499	2	math	math	PROPN
ap-5826	499	3	stat	stat	PROPN
ap-5826	499	4	22(1):79–86	22(1):79–86	NUM
ap-5826	499	5	,	,	PUNCT
ap-5826	499	6	1951	1951	NUM
ap-5826	499	7	.	.	PUNCT
ap-5826	500	1	doi:10.1214	doi:10.1214	PROPN
ap-5826	500	2	/	/	SYM
ap-5826	500	3	aoms/1177729694	aoms/1177729694	NOUN
ap-5826	500	4	.	.	PUNCT
ap-5826	501	1	[	[	X
ap-5826	501	2	30	30	NUM
ap-5826	501	3	]	]	X
ap-5826	501	4	general	general	ADJ
ap-5826	501	5	-	-	PUNCT
ap-5826	501	6	purpose	purpose	NOUN
ap-5826	501	7	computation	computation	NOUN
ap-5826	501	8	using	use	VERB
ap-5826	501	9	gpus	gpu	NOUN
ap-5826	501	10	.	.	PUNCT
ap-5826	502	1	www.gpgpu.org	www.gpgpu.org	NUM
ap-5826	502	2	.	.	PUNCT
ap-5826	503	1	600	600	NUM
ap-5826	503	2	http://dx.doi.org/10.1080/00207160.2013.851379	http://dx.doi.org/10.1080/00207160.2013.851379	ADJ
ap-5826	503	3	http://dx.doi.org/10.1016/j.aop.2004.01.002	http://dx.doi.org/10.1016/j.aop.2004.01.002	NOUN
ap-5826	503	4	http://dx.doi.org/10.1002/j.1538-7305.1948.tb01338.x	http://dx.doi.org/10.1002/j.1538-7305.1948.tb01338.x	NUM
ap-5826	503	5	http://dx.doi.org/10.1002/j.1538-7305.1948.tb00917.x	http://dx.doi.org/10.1002/j.1538-7305.1948.tb00917.x	PROPN
ap-5826	503	6	http://dx.doi.org/10.1214/aoms/1177729694	http://dx.doi.org/10.1214/aoms/1177729694	PROPN
ap-5826	503	7	www.gpgpu.org	www.gpgpu.org	PROPN
ap-5826	503	8	acta	acta	PROPN
ap-5826	503	9	polytechnica	polytechnica	PROPN
ap-5826	503	10	59(6):593–600	59(6):593–600	PROPN
ap-5826	503	11	,	,	PUNCT
ap-5826	503	12	2019	2019	NUM
ap-5826	503	13	1	1	NUM
ap-5826	503	14	introduction	introduction	NOUN
ap-5826	503	15	2	2	NUM
ap-5826	503	16	the	the	DET
ap-5826	503	17	shannon	shannon	PROPN
ap-5826	503	18	entropy	entropy	PROPN
ap-5826	503	19	3	3	NUM
ap-5826	503	20	point	point	NOUN
ap-5826	503	21	information	information	NOUN
ap-5826	503	22	gain	gain	VERB
ap-5826	503	23	4	4	NUM
ap-5826	503	24	optimization	optimization	NOUN
ap-5826	503	25	of	of	ADP
ap-5826	503	26	the	the	DET
ap-5826	503	27	algorithm	algorithm	NOUN
ap-5826	503	28	4.1	4.1	NUM
ap-5826	503	29	point	point	NOUN
ap-5826	503	30	information	information	NOUN
ap-5826	503	31	gain	gain	NOUN
ap-5826	503	32	for	for	ADP
ap-5826	503	33	the	the	DET
ap-5826	503	34	whole	whole	ADJ
ap-5826	503	35	image	image	NOUN
ap-5826	503	36	4.2	4.2	NUM
ap-5826	503	37	point	point	NOUN
ap-5826	503	38	information	information	NOUN
ap-5826	503	39	gain	gain	NOUN
ap-5826	503	40	for	for	ADP
ap-5826	503	41	the	the	DET
ap-5826	503	42	cross	cross	NOUN
ap-5826	503	43	computation	computation	NOUN
ap-5826	503	44	5	5	NUM
ap-5826	503	45	implementation	implementation	NOUN
ap-5826	503	46	on	on	ADP
ap-5826	503	47	gpu	gpu	PROPN
ap-5826	503	48	6	6	NUM
ap-5826	503	49	conclusion	conclusion	NOUN
ap-5826	503	50	list	list	NOUN
ap-5826	503	51	of	of	ADP
ap-5826	503	52	symbols	symbol	NOUN
ap-5826	503	53	acknowledgements	acknowledgement	NOUN
ap-5826	503	54	references	reference	NOUN