id	sid	tid	token	lemma	pos
ejpam-6632	1	1	european	european	PROPN
ejpam-6632	1	2	journal	journal	PROPN
ejpam-6632	1	3	of	of	ADP
ejpam-6632	1	4	pure	pure	ADJ
ejpam-6632	1	5	and	and	CCONJ
ejpam-6632	1	6	applied	applied	ADJ
ejpam-6632	1	7	mathematics	mathematic	NOUN
ejpam-6632	1	8	2025	2025	NUM
ejpam-6632	1	9	,	,	PUNCT
ejpam-6632	1	10	vol	vol	NOUN
ejpam-6632	1	11	.	.	PROPN
ejpam-6632	1	12	18	18	NUM
ejpam-6632	1	13	,	,	PUNCT
ejpam-6632	1	14	issue	issue	NOUN
ejpam-6632	1	15	4	4	NUM
ejpam-6632	1	16	,	,	PUNCT
ejpam-6632	1	17	article	article	NOUN
ejpam-6632	1	18	number	number	NOUN
ejpam-6632	1	19	6632	6632	NUM
ejpam-6632	1	20	issn	issn	PROPN
ejpam-6632	1	21	1307	1307	NUM
ejpam-6632	1	22	-	-	SYM
ejpam-6632	1	23	5543	5543	NUM
ejpam-6632	1	24	–	–	PUNCT
ejpam-6632	1	25	ejpam.com	ejpam.com	X
ejpam-6632	1	26	published	publish	VERB
ejpam-6632	1	27	by	by	ADP
ejpam-6632	1	28	new	new	PROPN
ejpam-6632	1	29	york	york	PROPN
ejpam-6632	1	30	business	business	PROPN
ejpam-6632	1	31	global	global	ADJ
ejpam-6632	1	32	image	image	NOUN
ejpam-6632	1	33	edge	edge	NOUN
ejpam-6632	1	34	detection	detection	NOUN
ejpam-6632	1	35	enhancement	enhancement	NOUN
ejpam-6632	1	36	using	use	VERB
ejpam-6632	1	37	coefficient	coefficient	NOUN
ejpam-6632	1	38	estimates	estimate	NOUN
ejpam-6632	1	39	for	for	ADP
ejpam-6632	1	40	classes	class	NOUN
ejpam-6632	1	41	of	of	ADP
ejpam-6632	1	42	quasi	quasi	NOUN
ejpam-6632	1	43	-	-	NOUN
ejpam-6632	1	44	subordination	subordination	NOUN
ejpam-6632	1	45	:	:	PUNCT
ejpam-6632	1	46	fekete	fekete	NOUN
ejpam-6632	1	47	-	-	PUNCT
ejpam-6632	1	48	szegö	szegö	PROPN
ejpam-6632	1	49	problems	problem	NOUN
ejpam-6632	1	50	r.	r.	PROPN
ejpam-6632	1	51	kamali1	kamali1	PROPN
ejpam-6632	1	52	,	,	PUNCT
ejpam-6632	1	53	s.	s.	PROPN
ejpam-6632	1	54	prema1	prema1	PROPN
ejpam-6632	1	55	,	,	PUNCT
ejpam-6632	1	56	a.	a.	PROPN
ejpam-6632	1	57	s.	s.	PROPN
ejpam-6632	1	58	ajay	ajay	PROPN
ejpam-6632	1	59	shrikaanth2	shrikaanth2	PROPN
ejpam-6632	1	60	,	,	PUNCT
ejpam-6632	1	61	vediyappan	vediyappan	ADJ
ejpam-6632	1	62	govindan3	govindan3	PROPN
ejpam-6632	1	63	,	,	PUNCT
ejpam-6632	1	64	mana	mana	PROPN
ejpam-6632	1	65	donganont4,∗	donganont4,∗	PROPN
ejpam-6632	1	66	1	1	NUM
ejpam-6632	1	67	department	department	NOUN
ejpam-6632	1	68	of	of	ADP
ejpam-6632	1	69	mathematics	mathematic	NOUN
ejpam-6632	1	70	,	,	PUNCT
ejpam-6632	1	71	srm	srm	PROPN
ejpam-6632	1	72	institute	institute	PROPN
ejpam-6632	1	73	of	of	ADP
ejpam-6632	1	74	science	science	NOUN
ejpam-6632	1	75	and	and	CCONJ
ejpam-6632	1	76	technology	technology	NOUN
ejpam-6632	1	77	,	,	PUNCT
ejpam-6632	1	78	ramapuram	ramapuram	NOUN
ejpam-6632	1	79	,	,	PUNCT
ejpam-6632	1	80	chennai	chennai	PROPN
ejpam-6632	1	81	,	,	PUNCT
ejpam-6632	1	82	tamil	tamil	PROPN
ejpam-6632	1	83	nadu	nadu	PROPN
ejpam-6632	1	84	,	,	PUNCT
ejpam-6632	1	85	india	india	PROPN
ejpam-6632	1	86	2	2	NUM
ejpam-6632	1	87	department	department	NOUN
ejpam-6632	1	88	of	of	ADP
ejpam-6632	1	89	electronics	electronic	NOUN
ejpam-6632	1	90	and	and	CCONJ
ejpam-6632	1	91	communication	communication	NOUN
ejpam-6632	1	92	engineering	engineering	NOUN
ejpam-6632	1	93	,	,	PUNCT
ejpam-6632	1	94	srm	srm	PROPN
ejpam-6632	1	95	institute	institute	PROPN
ejpam-6632	1	96	of	of	ADP
ejpam-6632	1	97	science	science	NOUN
ejpam-6632	1	98	and	and	CCONJ
ejpam-6632	1	99	technology	technology	NOUN
ejpam-6632	1	100	,	,	PUNCT
ejpam-6632	1	101	ramapuram	ramapuram	NOUN
ejpam-6632	1	102	,	,	PUNCT
ejpam-6632	1	103	chennai	chennai	PROPN
ejpam-6632	1	104	,	,	PUNCT
ejpam-6632	1	105	tamil	tamil	PROPN
ejpam-6632	1	106	nadu	nadu	PROPN
ejpam-6632	1	107	,	,	PUNCT
ejpam-6632	1	108	india	india	PROPN
ejpam-6632	1	109	3	3	NUM
ejpam-6632	1	110	department	department	NOUN
ejpam-6632	1	111	of	of	ADP
ejpam-6632	1	112	mathematics	mathematic	NOUN
ejpam-6632	1	113	,	,	PUNCT
ejpam-6632	1	114	hindustan	hindustan	PROPN
ejpam-6632	1	115	institute	institute	PROPN
ejpam-6632	1	116	of	of	ADP
ejpam-6632	1	117	technology	technology	PROPN
ejpam-6632	1	118	and	and	CCONJ
ejpam-6632	1	119	science	science	NOUN
ejpam-6632	1	120	,	,	PUNCT
ejpam-6632	1	121	chennai	chennai	PROPN
ejpam-6632	1	122	,	,	PUNCT
ejpam-6632	1	123	tamil	tamil	PROPN
ejpam-6632	1	124	nadu	nadu	PROPN
ejpam-6632	1	125	,	,	PUNCT
ejpam-6632	1	126	india	india	PROPN
ejpam-6632	1	127	4	4	NUM
ejpam-6632	1	128	school	school	NOUN
ejpam-6632	1	129	of	of	ADP
ejpam-6632	1	130	science	science	NOUN
ejpam-6632	1	131	,	,	PUNCT
ejpam-6632	1	132	university	university	NOUN
ejpam-6632	1	133	of	of	ADP
ejpam-6632	1	134	phayao	phayao	NOUN
ejpam-6632	1	135	,	,	PUNCT
ejpam-6632	1	136	phayao	phayao	NOUN
ejpam-6632	1	137	56000	56000	NUM
ejpam-6632	1	138	,	,	PUNCT
ejpam-6632	1	139	thailand	thailand	PROPN
ejpam-6632	1	140	abstract	abstract	NOUN
ejpam-6632	1	141	.	.	PUNCT
ejpam-6632	2	1	this	this	DET
ejpam-6632	2	2	paper	paper	NOUN
ejpam-6632	2	3	investigates	investigate	VERB
ejpam-6632	2	4	coefficient	coefficient	NOUN
ejpam-6632	2	5	estimates	estimate	NOUN
ejpam-6632	2	6	for	for	ADP
ejpam-6632	2	7	quasi	quasi	ADJ
ejpam-6632	2	8	-	-	ADJ
ejpam-6632	2	9	subordination	subordination	ADJ
ejpam-6632	2	10	classes	class	NOUN
ejpam-6632	2	11	and	and	CCONJ
ejpam-6632	2	12	their	their	PRON
ejpam-6632	2	13	application	application	NOUN
ejpam-6632	2	14	to	to	PART
ejpam-6632	2	15	enhance	enhance	VERB
ejpam-6632	2	16	edge	edge	NOUN
ejpam-6632	2	17	detection	detection	NOUN
ejpam-6632	2	18	in	in	ADP
ejpam-6632	2	19	image	image	NOUN
ejpam-6632	2	20	processing	processing	NOUN
ejpam-6632	2	21	.	.	PUNCT
ejpam-6632	3	1	we	we	PRON
ejpam-6632	3	2	develop	develop	VERB
ejpam-6632	3	3	a	a	DET
ejpam-6632	3	4	python	python	NOUN
ejpam-6632	3	5	-	-	PUNCT
ejpam-6632	3	6	based	base	VERB
ejpam-6632	3	7	algorithm	algorithm	NOUN
ejpam-6632	3	8	utilizing	utilize	VERB
ejpam-6632	3	9	sakaguchi	sakaguchi	ADJ
ejpam-6632	3	10	-	-	PUNCT
ejpam-6632	3	11	inspired	inspire	VERB
ejpam-6632	3	12	methods	method	NOUN
ejpam-6632	3	13	and	and	CCONJ
ejpam-6632	3	14	fekete	fekete	PROPN
ejpam-6632	3	15	-	-	PUNCT
ejpam-6632	3	16	szegö	szegö	ADJ
ejpam-6632	3	17	coefficient	coefficient	NOUN
ejpam-6632	3	18	principles	principle	NOUN
ejpam-6632	3	19	to	to	PART
ejpam-6632	3	20	improve	improve	VERB
ejpam-6632	3	21	edge	edge	NOUN
ejpam-6632	3	22	clarity	clarity	NOUN
ejpam-6632	3	23	and	and	CCONJ
ejpam-6632	3	24	boundary	boundary	ADJ
ejpam-6632	3	25	precision	precision	NOUN
ejpam-6632	3	26	.	.	PUNCT
ejpam-6632	4	1	the	the	DET
ejpam-6632	4	2	algorithm	algorithm	NOUN
ejpam-6632	4	3	processes	process	VERB
ejpam-6632	4	4	input	input	NOUN
ejpam-6632	4	5	images	image	NOUN
ejpam-6632	4	6	to	to	PART
ejpam-6632	4	7	produce	produce	VERB
ejpam-6632	4	8	outputs	output	NOUN
ejpam-6632	4	9	with	with	ADP
ejpam-6632	4	10	highlighted	highlight	VERB
ejpam-6632	4	11	edges	edge	NOUN
ejpam-6632	4	12	,	,	PUNCT
ejpam-6632	4	13	achieving	achieve	VERB
ejpam-6632	4	14	increased	increase	VERB
ejpam-6632	4	15	accuracy	accuracy	NOUN
ejpam-6632	4	16	and	and	CCONJ
ejpam-6632	4	17	noise	noise	NOUN
ejpam-6632	4	18	resilience	resilience	NOUN
ejpam-6632	4	19	.	.	PUNCT
ejpam-6632	5	1	fixed	fix	VERB
ejpam-6632	5	2	-	-	PUNCT
ejpam-6632	5	3	point	point	NOUN
ejpam-6632	5	4	theory	theory	NOUN
ejpam-6632	5	5	ensures	ensure	VERB
ejpam-6632	5	6	the	the	DET
ejpam-6632	5	7	existence	existence	NOUN
ejpam-6632	5	8	and	and	CCONJ
ejpam-6632	5	9	uniqueness	uniqueness	NOUN
ejpam-6632	5	10	of	of	ADP
ejpam-6632	5	11	solutions	solution	NOUN
ejpam-6632	5	12	,	,	PUNCT
ejpam-6632	5	13	while	while	SCONJ
ejpam-6632	5	14	stability	stability	NOUN
ejpam-6632	5	15	analysis	analysis	NOUN
ejpam-6632	5	16	confirms	confirm	VERB
ejpam-6632	5	17	the	the	DET
ejpam-6632	5	18	robustness	robustness	NOUN
ejpam-6632	5	19	of	of	ADP
ejpam-6632	5	20	the	the	DET
ejpam-6632	5	21	framework	framework	NOUN
ejpam-6632	5	22	.	.	PUNCT
ejpam-6632	6	1	numerical	numerical	ADJ
ejpam-6632	6	2	simulations	simulation	NOUN
ejpam-6632	6	3	compare	compare	VERB
ejpam-6632	6	4	the	the	DET
ejpam-6632	6	5	proposed	propose	VERB
ejpam-6632	6	6	method	method	NOUN
ejpam-6632	6	7	with	with	ADP
ejpam-6632	6	8	classical	classical	ADJ
ejpam-6632	6	9	edge	edge	NOUN
ejpam-6632	6	10	detectors	detector	NOUN
ejpam-6632	6	11	(	(	PUNCT
ejpam-6632	6	12	sobel	sobel	NOUN
ejpam-6632	6	13	,	,	PUNCT
ejpam-6632	6	14	canny	canny	ADJ
ejpam-6632	6	15	,	,	PUNCT
ejpam-6632	6	16	laplacian	laplacian	NOUN
ejpam-6632	6	17	)	)	PUNCT
ejpam-6632	6	18	,	,	PUNCT
ejpam-6632	6	19	demonstrating	demonstrate	VERB
ejpam-6632	6	20	superior	superior	ADJ
ejpam-6632	6	21	performance	performance	NOUN
ejpam-6632	6	22	in	in	ADP
ejpam-6632	6	23	capturing	capture	VERB
ejpam-6632	6	24	subtle	subtle	ADJ
ejpam-6632	6	25	features	feature	NOUN
ejpam-6632	6	26	in	in	ADP
ejpam-6632	6	27	complex	complex	ADJ
ejpam-6632	6	28	scenes	scene	NOUN
ejpam-6632	6	29	.	.	PUNCT
ejpam-6632	7	1	these	these	DET
ejpam-6632	7	2	results	result	NOUN
ejpam-6632	7	3	highlight	highlight	VERB
ejpam-6632	7	4	the	the	DET
ejpam-6632	7	5	potential	potential	NOUN
ejpam-6632	7	6	of	of	ADP
ejpam-6632	7	7	geometric	geometric	ADJ
ejpam-6632	7	8	function	function	NOUN
ejpam-6632	7	9	theory	theory	NOUN
ejpam-6632	7	10	in	in	ADP
ejpam-6632	7	11	advancing	advance	VERB
ejpam-6632	7	12	computational	computational	ADJ
ejpam-6632	7	13	imaging	imaging	NOUN
ejpam-6632	7	14	techniques	technique	NOUN
ejpam-6632	7	15	.	.	PUNCT
ejpam-6632	8	1	2020	2020	NUM
ejpam-6632	8	2	mathematics	mathematic	NOUN
ejpam-6632	8	3	subject	subject	NOUN
ejpam-6632	8	4	classifications	classification	NOUN
ejpam-6632	8	5	:	:	PUNCT
ejpam-6632	8	6	30c45	30c45	NUM
ejpam-6632	8	7	,	,	PUNCT
ejpam-6632	8	8	30c50	30c50	DET
ejpam-6632	8	9	key	key	ADJ
ejpam-6632	8	10	words	word	NOUN
ejpam-6632	8	11	and	and	CCONJ
ejpam-6632	8	12	phrases	phrase	NOUN
ejpam-6632	8	13	:	:	PUNCT
ejpam-6632	8	14	coefficient	coefficient	NOUN
ejpam-6632	8	15	estimates	estimate	NOUN
ejpam-6632	8	16	,	,	PUNCT
ejpam-6632	8	17	edge	edge	NOUN
ejpam-6632	8	18	detection	detection	NOUN
ejpam-6632	8	19	,	,	PUNCT
ejpam-6632	8	20	fekete	fekete	NOUN
ejpam-6632	8	21	-	-	PUNCT
ejpam-6632	8	22	szegö	szegö	PROPN
ejpam-6632	8	23	coefficient	coefficient	NOUN
ejpam-6632	8	24	,	,	PUNCT
ejpam-6632	8	25	holomorphic	holomorphic	ADJ
ejpam-6632	8	26	function	function	NOUN
ejpam-6632	8	27	,	,	PUNCT
ejpam-6632	8	28	image	image	NOUN
ejpam-6632	8	29	processing	processing	NOUN
ejpam-6632	8	30	,	,	PUNCT
ejpam-6632	8	31	sakaguchi	sakaguchi	ADJ
ejpam-6632	8	32	method	method	NOUN
ejpam-6632	8	33	1	1	NUM
ejpam-6632	8	34	.	.	PUNCT
ejpam-6632	9	1	introduction	introduction	NOUN
ejpam-6632	9	2	and	and	CCONJ
ejpam-6632	9	3	preliminaries	preliminary	NOUN
ejpam-6632	9	4	suppose	suppose	VERB
ejpam-6632	9	5	a	a	PRON
ejpam-6632	9	6	be	be	AUX
ejpam-6632	9	7	the	the	DET
ejpam-6632	9	8	class	class	NOUN
ejpam-6632	9	9	of	of	ADP
ejpam-6632	9	10	holomorphic	holomorphic	ADJ
ejpam-6632	9	11	functions	function	NOUN
ejpam-6632	9	12	standardized	standardize	VERB
ejpam-6632	9	13	by	by	ADP
ejpam-6632	9	14	h(0	h(0	PROPN
ejpam-6632	9	15	)	)	PUNCT
ejpam-6632	10	1	=	=	SYM
ejpam-6632	10	2	0	0	NUM
ejpam-6632	10	3	and	and	CCONJ
ejpam-6632	10	4	h	h	NOUN
ejpam-6632	10	5	′	′	NUM
ejpam-6632	10	6	(	(	PUNCT
ejpam-6632	10	7	0	0	NUM
ejpam-6632	10	8	)	)	PUNCT
ejpam-6632	10	9	=	=	SYM
ejpam-6632	10	10	1	1	NUM
ejpam-6632	10	11	of	of	ADP
ejpam-6632	10	12	the	the	DET
ejpam-6632	10	13	form	form	NOUN
ejpam-6632	10	14	h(ζ	h(ζ	NOUN
ejpam-6632	10	15	)	)	PUNCT
ejpam-6632	11	1	=	=	SYM
ejpam-6632	11	2	ζ	ζ	NOUN
ejpam-6632	11	3	+	+	NUM
ejpam-6632	11	4	∑∞	∑∞	NOUN
ejpam-6632	11	5	n=2	n=2	AUX
ejpam-6632	11	6	anζ	anζ	NOUN
ejpam-6632	11	7	n	n	CCONJ
ejpam-6632	11	8	,	,	PUNCT
ejpam-6632	11	9	in	in	ADP
ejpam-6632	11	10	the	the	DET
ejpam-6632	11	11	open	open	ADJ
ejpam-6632	11	12	unit	unit	NOUN
ejpam-6632	11	13	disk	disk	NOUN
ejpam-6632	11	14	d	d	NOUN
ejpam-6632	11	15	=	=	PUNCT
ejpam-6632	11	16	{	{	PUNCT
ejpam-6632	11	17	ζ	ζ	NOUN
ejpam-6632	11	18	:	:	PUNCT
ejpam-6632	11	19	|ζ|	|ζ|	PROPN
ejpam-6632	11	20	<	<	X
ejpam-6632	11	21	1	1	NUM
ejpam-6632	11	22	}	}	PUNCT
ejpam-6632	11	23	.	.	PUNCT
ejpam-6632	12	1	the	the	DET
ejpam-6632	12	2	function	function	NOUN
ejpam-6632	12	3	h	h	NOUN
ejpam-6632	12	4	is	be	AUX
ejpam-6632	12	5	subordinate	subordinate	ADJ
ejpam-6632	12	6	to	to	ADP
ejpam-6632	12	7	g	g	NOUN
ejpam-6632	12	8	for	for	ADP
ejpam-6632	12	9	two	two	NUM
ejpam-6632	12	10	holomorphic	holomorphic	ADJ
ejpam-6632	12	11	functions	function	NOUN
ejpam-6632	12	12	h	h	NOUN
ejpam-6632	12	13	and	and	CCONJ
ejpam-6632	12	14	g	g	NOUN
ejpam-6632	12	15	,	,	PUNCT
ejpam-6632	12	16	expressed	express	VERB
ejpam-6632	12	17	as	as	SCONJ
ejpam-6632	12	18	follows	follow	VERB
ejpam-6632	12	19	:	:	PUNCT
ejpam-6632	12	20	h(ζ	h(ζ	NOUN
ejpam-6632	12	21	)	)	PUNCT
ejpam-6632	12	22	≺	≺	NOUN
ejpam-6632	12	23	g(ζ	g(ζ	PROPN
ejpam-6632	12	24	)	)	PUNCT
ejpam-6632	12	25	.	.	PUNCT
ejpam-6632	13	1	(	(	PUNCT
ejpam-6632	13	2	1.1	1.1	NUM
ejpam-6632	13	3	)	)	PUNCT
ejpam-6632	13	4	if	if	SCONJ
ejpam-6632	13	5	there	there	PRON
ejpam-6632	13	6	is	be	VERB
ejpam-6632	13	7	a	a	DET
ejpam-6632	13	8	holomorphic	holomorphic	ADJ
ejpam-6632	13	9	function	function	NOUN
ejpam-6632	13	10	ψ	ψ	ADP
ejpam-6632	13	11	such	such	ADJ
ejpam-6632	13	12	that	that	DET
ejpam-6632	13	13	h(ζ	h(ζ	NOUN
ejpam-6632	13	14	)	)	PUNCT
ejpam-6632	13	15	=	=	PUNCT
ejpam-6632	13	16	g(ψ(ζ	g(ψ(ζ	PROPN
ejpam-6632	13	17	)	)	PUNCT
ejpam-6632	13	18	)	)	PUNCT
ejpam-6632	13	19	,	,	PUNCT
ejpam-6632	13	20	with	with	ADP
ejpam-6632	13	21	ψ(0	ψ(0	NOUN
ejpam-6632	13	22	)	)	PUNCT
ejpam-6632	13	23	=	=	SYM
ejpam-6632	13	24	0	0	NUM
ejpam-6632	13	25	and	and	CCONJ
ejpam-6632	13	26	|ψ(ζ)|	|ψ(ζ)|	NOUN
ejpam-6632	13	27	<	<	X
ejpam-6632	13	28	1	1	NUM
ejpam-6632	13	29	.	.	PUNCT
ejpam-6632	13	30	specifically	specifically	ADV
ejpam-6632	13	31	,	,	PUNCT
ejpam-6632	13	32	h(ζ	h(ζ	NOUN
ejpam-6632	13	33	)	)	PUNCT
ejpam-6632	13	34	≺	≺	NOUN
ejpam-6632	13	35	g(z	g(z	PROPN
ejpam-6632	13	36	)	)	PUNCT
ejpam-6632	13	37	is	be	AUX
ejpam-6632	13	38	identical	identical	ADJ
ejpam-6632	13	39	to	to	ADP
ejpam-6632	13	40	h(0	h(0	PROPN
ejpam-6632	13	41	)	)	PUNCT
ejpam-6632	13	42	=	=	SYM
ejpam-6632	13	43	g(0	g(0	PROPN
ejpam-6632	13	44	)	)	PUNCT
ejpam-6632	13	45	and	and	CCONJ
ejpam-6632	13	46	h(d	h(d	NUM
ejpam-6632	13	47	)	)	PUNCT
ejpam-6632	14	1	⊂	⊂	PROPN
ejpam-6632	15	1	g(d	g(d	PROPN
ejpam-6632	15	2	)	)	PUNCT
ejpam-6632	15	3	provided	provide	VERB
ejpam-6632	15	4	the	the	DET
ejpam-6632	15	5	function	function	NOUN
ejpam-6632	15	6	g	g	NOUN
ejpam-6632	15	7	is	be	AUX
ejpam-6632	15	8	one	one	NUM
ejpam-6632	15	9	-	-	PUNCT
ejpam-6632	15	10	to	to	ADP
ejpam-6632	15	11	-	-	PUNCT
ejpam-6632	15	12	one	one	NUM
ejpam-6632	15	13	in	in	ADP
ejpam-6632	15	14	d.	d.	PROPN
ejpam-6632	15	15	a	a	DET
ejpam-6632	15	16	brief	brief	ADJ
ejpam-6632	15	17	explanation	explanation	NOUN
ejpam-6632	15	18	of	of	ADP
ejpam-6632	15	19	the	the	DET
ejpam-6632	15	20	idea	idea	NOUN
ejpam-6632	15	21	of	of	ADP
ejpam-6632	15	22	subordination	subordination	NOUN
ejpam-6632	15	23	can	can	AUX
ejpam-6632	15	24	be	be	AUX
ejpam-6632	15	25	found	find	VERB
ejpam-6632	15	26	in	in	ADP
ejpam-6632	15	27	[	[	X
ejpam-6632	15	28	1–5	1–5	X
ejpam-6632	15	29	]	]	X
ejpam-6632	15	30	.	.	PUNCT
ejpam-6632	16	1	the	the	DET
ejpam-6632	16	2	next	next	ADJ
ejpam-6632	16	3	class	class	NOUN
ejpam-6632	16	4	was	be	AUX
ejpam-6632	16	5	previously	previously	ADV
ejpam-6632	16	6	established	establish	VERB
ejpam-6632	16	7	by	by	ADP
ejpam-6632	16	8	ma	ma	PROPN
ejpam-6632	16	9	and	and	CCONJ
ejpam-6632	16	10	minda	minda	PROPN
ejpam-6632	17	1	[	[	X
ejpam-6632	17	2	6	6	NUM
ejpam-6632	17	3	]	]	PUNCT
ejpam-6632	17	4	:	:	PUNCT
ejpam-6632	17	5	s∗(δ	s∗(δ	NUM
ejpam-6632	17	6	)	)	PUNCT
ejpam-6632	17	7	=	=	PRON
ejpam-6632	17	8	{	{	PUNCT
ejpam-6632	17	9	h	h	NOUN
ejpam-6632	17	10	∈	∈	PROPN
ejpam-6632	18	1	a	a	PRON
ejpam-6632	18	2	:	:	PUNCT
ejpam-6632	18	3	(	(	PUNCT
ejpam-6632	18	4	ζ1−αh′(z	ζ1−αh′(z	ADP
ejpam-6632	18	5	)	)	PUNCT
ejpam-6632	19	1	[	[	X
ejpam-6632	19	2	h(ζ)]1−α	h(ζ)]1−α	X
ejpam-6632	19	3	)	)	PUNCT
ejpam-6632	19	4	≺	≺	NOUN
ejpam-6632	19	5	δ(ζ	δ(ζ	NUM
ejpam-6632	19	6	)	)	PUNCT
ejpam-6632	19	7	}	}	PUNCT
ejpam-6632	19	8	.	.	PUNCT
ejpam-6632	20	1	(	(	PUNCT
ejpam-6632	20	2	1.2	1.2	NUM
ejpam-6632	20	3	)	)	PUNCT
ejpam-6632	20	4	∗corresponding	∗corresponde	VERB
ejpam-6632	20	5	author	author	NOUN
ejpam-6632	20	6	.	.	PUNCT
ejpam-6632	21	1	doi	doi	NOUN
ejpam-6632	21	2	:	:	PUNCT
ejpam-6632	21	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6632	https://doi.org/10.29020/nybg.ejpam.v18i4.6632	ADJ
ejpam-6632	21	4	email	email	NOUN
ejpam-6632	21	5	addresses	address	VERB
ejpam-6632	21	6	:	:	PUNCT
ejpam-6632	21	7	kr2008@srmist.edu.in	kr2008@srmist.edu.in	X
ejpam-6632	21	8	(	(	PUNCT
ejpam-6632	21	9	r.	r.	PROPN
ejpam-6632	21	10	kamali	kamali	PROPN
ejpam-6632	21	11	)	)	PUNCT
ejpam-6632	21	12	,	,	PUNCT
ejpam-6632	21	13	premnehaa@gmail.com	premnehaa@gmail.com	X
ejpam-6632	21	14	(	(	PUNCT
ejpam-6632	21	15	s.	s.	PROPN
ejpam-6632	21	16	prema	prema	PROPN
ejpam-6632	21	17	)	)	PUNCT
ejpam-6632	21	18	,	,	PUNCT
ejpam-6632	21	19	shrikaanthajay@gmail.com	shrikaanthajay@gmail.com	X
ejpam-6632	21	20	(	(	PUNCT
ejpam-6632	21	21	a.	a.	PROPN
ejpam-6632	21	22	s.	s.	PROPN
ejpam-6632	21	23	ajay	ajay	PROPN
ejpam-6632	21	24	shrikaanth	shrikaanth	PROPN
ejpam-6632	21	25	)	)	PUNCT
ejpam-6632	21	26	,	,	PUNCT
ejpam-6632	21	27	vadimalawi@gmail.com	vadimalawi@gmail.com	X
ejpam-6632	21	28	(	(	PUNCT
ejpam-6632	21	29	v.	v.	ADP
ejpam-6632	21	30	govindan	govindan	PROPN
ejpam-6632	21	31	)	)	PUNCT
ejpam-6632	21	32	,	,	PUNCT
ejpam-6632	21	33	mana.do@up.ac.th	mana.do@up.ac.th	PROPN
ejpam-6632	21	34	(	(	PUNCT
ejpam-6632	21	35	m.	m.	NOUN
ejpam-6632	21	36	donganont	donganont	PROPN
ejpam-6632	21	37	)	)	PUNCT
ejpam-6632	21	38	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6632	22	1	1	1	NUM
ejpam-6632	22	2	copyright	copyright	NOUN
ejpam-6632	22	3	:	:	PUNCT
ejpam-6632	22	4	©	©	PROPN
ejpam-6632	22	5	2025	2025	NUM
ejpam-6632	22	6	the	the	DET
ejpam-6632	22	7	author(s	author(s	NOUN
ejpam-6632	22	8	)	)	PUNCT
ejpam-6632	22	9	.	.	PUNCT
ejpam-6632	23	1	(	(	PUNCT
ejpam-6632	23	2	cc	cc	NOUN
ejpam-6632	23	3	by	by	ADP
ejpam-6632	23	4	-	-	PUNCT
ejpam-6632	23	5	nc	nc	PROPN
ejpam-6632	23	6	4.0	4.0	NUM
ejpam-6632	23	7	)	)	PUNCT
ejpam-6632	23	8	r.	r.	PROPN
ejpam-6632	23	9	kamali	kamali	PROPN
ejpam-6632	23	10	et	et	PROPN
ejpam-6632	23	11	al	al	PROPN
ejpam-6632	23	12	.	.	PUNCT
ejpam-6632	23	13	/	/	SYM
ejpam-6632	23	14	eur	eur	PROPN
ejpam-6632	23	15	.	.	PUNCT
ejpam-6632	24	1	j.	j.	PROPN
ejpam-6632	24	2	pure	pure	PROPN
ejpam-6632	24	3	appl	appl	PROPN
ejpam-6632	24	4	.	.	PROPN
ejpam-6632	24	5	math	math	PROPN
ejpam-6632	24	6	,	,	PUNCT
ejpam-6632	24	7	18	18	NUM
ejpam-6632	24	8	(	(	PUNCT
ejpam-6632	24	9	4	4	NUM
ejpam-6632	24	10	)	)	PUNCT
ejpam-6632	24	11	(	(	PUNCT
ejpam-6632	24	12	2025	2025	NUM
ejpam-6632	24	13	)	)	PUNCT
ejpam-6632	24	14	,	,	PUNCT
ejpam-6632	24	15	6632	6632	NUM
ejpam-6632	24	16	2	2	NUM
ejpam-6632	24	17	of	of	ADP
ejpam-6632	24	18	19	19	NUM
ejpam-6632	24	19	in	in	ADP
ejpam-6632	24	20	d	d	NOUN
ejpam-6632	24	21	,	,	PUNCT
ejpam-6632	24	22	when	when	SCONJ
ejpam-6632	24	23	ρ	ρ	PROPN
ejpam-6632	24	24	is	be	AUX
ejpam-6632	24	25	a	a	DET
ejpam-6632	24	26	holomorphic	holomorphic	ADJ
ejpam-6632	24	27	function	function	NOUN
ejpam-6632	24	28	with	with	ADP
ejpam-6632	24	29	a	a	DET
ejpam-6632	24	30	realistic	realistic	ADJ
ejpam-6632	24	31	component	component	NOUN
ejpam-6632	24	32	,	,	PUNCT
ejpam-6632	24	33	it	it	PRON
ejpam-6632	24	34	is	be	AUX
ejpam-6632	24	35	symmetric	symmetric	ADJ
ejpam-6632	24	36	and	and	CCONJ
ejpam-6632	24	37	starlike	starlike	NOUN
ejpam-6632	24	38	with	with	ADP
ejpam-6632	24	39	respect	respect	NOUN
ejpam-6632	24	40	to	to	ADP
ejpam-6632	24	41	the	the	DET
ejpam-6632	24	42	real	real	ADJ
ejpam-6632	24	43	axis	axis	NOUN
ejpam-6632	24	44	,	,	PUNCT
ejpam-6632	24	45	with	with	ADP
ejpam-6632	24	46	δ(0	δ(0	NOUN
ejpam-6632	24	47	)	)	PUNCT
ejpam-6632	24	48	=	=	SYM
ejpam-6632	24	49	1	1	NUM
ejpam-6632	24	50	and	and	CCONJ
ejpam-6632	24	51	δ	δ	PROPN
ejpam-6632	24	52	′	′	NUM
ejpam-6632	24	53	(	(	PUNCT
ejpam-6632	24	54	0	0	NUM
ejpam-6632	24	55	)	)	PUNCT
ejpam-6632	24	56	>	>	X
ejpam-6632	24	57	0	0	NUM
ejpam-6632	24	58	,	,	PUNCT
ejpam-6632	24	59	respectively	respectively	ADV
ejpam-6632	24	60	.	.	PUNCT
ejpam-6632	25	1	a	a	DET
ejpam-6632	25	2	function	function	NOUN
ejpam-6632	25	3	h	h	NOUN
ejpam-6632	25	4	∈	∈	PROPN
ejpam-6632	25	5	s∗(δ	s∗(δ	PROPN
ejpam-6632	25	6	)	)	PUNCT
ejpam-6632	25	7	with	with	ADP
ejpam-6632	25	8	respect	respect	NOUN
ejpam-6632	25	9	to	to	ADP
ejpam-6632	25	10	φ	φ	PROPN
ejpam-6632	25	11	is	be	AUX
ejpam-6632	25	12	referred	refer	VERB
ejpam-6632	25	13	to	to	ADP
ejpam-6632	25	14	as	as	ADP
ejpam-6632	25	15	the	the	DET
ejpam-6632	25	16	ma	ma	PROPN
ejpam-6632	25	17	-	-	PUNCT
ejpam-6632	25	18	minda	minda	PROPN
ejpam-6632	25	19	starlike	starlike	PROPN
ejpam-6632	25	20	class	class	PROPN
ejpam-6632	25	21	.	.	PUNCT
ejpam-6632	26	1	the	the	DET
ejpam-6632	26	2	class	class	NOUN
ejpam-6632	26	3	of	of	ADP
ejpam-6632	26	4	functions	function	NOUN
ejpam-6632	26	5	h	h	NOUN
ejpam-6632	26	6	∈	∈	PROPN
ejpam-6632	26	7	a	a	DET
ejpam-6632	26	8	that	that	DET
ejpam-6632	26	9	consist	consist	NOUN
ejpam-6632	26	10	of	of	ADP
ejpam-6632	26	11	1	1	NUM
ejpam-6632	26	12	+	+	NOUN
ejpam-6632	26	13	ζh′′(ζ	ζh′′(ζ	NOUN
ejpam-6632	26	14	)	)	PUNCT
ejpam-6632	26	15	h′(ζ	h′(ζ	PROPN
ejpam-6632	26	16	)	)	PUNCT
ejpam-6632	26	17	≺	≺	NOUN
ejpam-6632	26	18	ρ(ζ	ρ(ζ	NOUN
ejpam-6632	26	19	)	)	PUNCT
ejpam-6632	26	20	is	be	AUX
ejpam-6632	26	21	known	know	VERB
ejpam-6632	26	22	as	as	ADP
ejpam-6632	26	23	the	the	DET
ejpam-6632	26	24	class	class	NOUN
ejpam-6632	26	25	c(δ	c(δ	PROPN
ejpam-6632	26	26	)	)	PUNCT
ejpam-6632	26	27	.	.	PUNCT
ejpam-6632	27	1	the	the	DET
ejpam-6632	27	2	two	two	NUM
ejpam-6632	27	3	classes	class	NOUN
ejpam-6632	27	4	s∗(δ	s∗(δ	NUM
ejpam-6632	27	5	)	)	PUNCT
ejpam-6632	27	6	and	and	CCONJ
ejpam-6632	27	7	c(δ	c(δ	PROPN
ejpam-6632	27	8	)	)	PUNCT
ejpam-6632	27	9	contain	contain	VERB
ejpam-6632	27	10	a	a	DET
ejpam-6632	27	11	number	number	NOUN
ejpam-6632	27	12	of	of	ADP
ejpam-6632	27	13	widely	widely	ADV
ejpam-6632	27	14	recognized	recognize	VERB
ejpam-6632	27	15	subclasses	subclass	NOUN
ejpam-6632	27	16	of	of	ADP
ejpam-6632	27	17	convex	convex	NOUN
ejpam-6632	27	18	and	and	CCONJ
ejpam-6632	27	19	starlike	starlike	NOUN
ejpam-6632	27	20	functions	function	NOUN
ejpam-6632	27	21	as	as	ADP
ejpam-6632	27	22	special	special	ADJ
ejpam-6632	27	23	cases	case	NOUN
ejpam-6632	27	24	[	[	X
ejpam-6632	27	25	7	7	X
ejpam-6632	27	26	]	]	X
ejpam-6632	27	27	[	[	X
ejpam-6632	27	28	8	8	NUM
ejpam-6632	27	29	]	]	PUNCT
ejpam-6632	27	30	.	.	PUNCT
ejpam-6632	28	1	the	the	DET
ejpam-6632	28	2	quasi	quasi	ADJ
ejpam-6632	28	3	-	-	ADJ
ejpam-6632	28	4	subordinate	subordinate	ADJ
ejpam-6632	28	5	connection	connection	NOUN
ejpam-6632	28	6	between	between	ADP
ejpam-6632	28	7	two	two	NUM
ejpam-6632	28	8	holomorphic	holomorphic	ADJ
ejpam-6632	28	9	functions	function	NOUN
ejpam-6632	28	10	,	,	PUNCT
ejpam-6632	28	11	f	f	PROPN
ejpam-6632	28	12	and	and	CCONJ
ejpam-6632	28	13	g	g	PROPN
ejpam-6632	28	14	,	,	PUNCT
ejpam-6632	28	15	may	may	AUX
ejpam-6632	28	16	be	be	AUX
ejpam-6632	28	17	written	write	VERB
ejpam-6632	28	18	as	as	SCONJ
ejpam-6632	28	19	follows	follow	VERB
ejpam-6632	28	20	:	:	PUNCT
ejpam-6632	28	21	h(ζ	h(ζ	NOUN
ejpam-6632	28	22	)	)	PUNCT
ejpam-6632	28	23	≺q	≺q	PROPN
ejpam-6632	28	24	g(ζ	g(ζ	PROPN
ejpam-6632	28	25	)	)	PUNCT
ejpam-6632	28	26	.	.	PUNCT
ejpam-6632	29	1	(	(	PUNCT
ejpam-6632	29	2	1.3	1.3	NUM
ejpam-6632	29	3	)	)	PUNCT
ejpam-6632	29	4	a	a	DET
ejpam-6632	29	5	holomorphic	holomorphic	ADJ
ejpam-6632	29	6	function	function	NOUN
ejpam-6632	29	7	with	with	ADP
ejpam-6632	29	8	|ρ(ζ)|	|ρ(ζ)|	PROPN
ejpam-6632	29	9	≤	≤	NUM
ejpam-6632	29	10	1	1	NUM
ejpam-6632	29	11	,	,	PUNCT
ejpam-6632	29	12	ψ(0	ψ(0	NOUN
ejpam-6632	29	13	)	)	PUNCT
ejpam-6632	29	14	=	=	SYM
ejpam-6632	29	15	0	0	NUM
ejpam-6632	29	16	,	,	PUNCT
ejpam-6632	29	17	and	and	CCONJ
ejpam-6632	29	18	ψ(ζ	ψ(ζ	NOUN
ejpam-6632	29	19	)	)	PUNCT
ejpam-6632	29	20	<	<	X
ejpam-6632	29	21	1	1	NUM
ejpam-6632	29	22	such	such	ADJ
ejpam-6632	29	23	that	that	DET
ejpam-6632	29	24	h(ζ	h(ζ	NOUN
ejpam-6632	29	25	)	)	PUNCT
ejpam-6632	29	26	=	=	SYM
ejpam-6632	30	1	ρ(ζ)g(ψ(ζ	ρ(ζ)g(ψ(ζ	NUM
ejpam-6632	30	2	)	)	PUNCT
ejpam-6632	30	3	)	)	PUNCT
ejpam-6632	30	4	exists	exist	VERB
ejpam-6632	30	5	if	if	SCONJ
ejpam-6632	30	6	δ	δ	PROPN
ejpam-6632	30	7	and	and	CCONJ
ejpam-6632	30	8	ψ	ψ	PROPN
ejpam-6632	30	9	.	.	PUNCT
ejpam-6632	31	1	once	once	ADV
ejpam-6632	31	2	ρ(ζ	ρ(ζ	NOUN
ejpam-6632	31	3	)	)	PUNCT
ejpam-6632	31	4	=	=	SYM
ejpam-6632	31	5	1	1	NUM
ejpam-6632	31	6	,	,	PUNCT
ejpam-6632	31	7	we	we	PRON
ejpam-6632	31	8	can	can	AUX
ejpam-6632	31	9	see	see	VERB
ejpam-6632	31	10	that	that	DET
ejpam-6632	31	11	h(ζ	h(ζ	NOUN
ejpam-6632	31	12	)	)	PUNCT
ejpam-6632	32	1	=	=	PUNCT
ejpam-6632	32	2	g(ψ(ζ	g(ψ(ζ	PROPN
ejpam-6632	32	3	)	)	PUNCT
ejpam-6632	32	4	)	)	PUNCT
ejpam-6632	32	5	,	,	PUNCT
ejpam-6632	32	6	meaning	mean	VERB
ejpam-6632	32	7	that	that	SCONJ
ejpam-6632	32	8	h(ζ	h(ζ	NOUN
ejpam-6632	32	9	)	)	PUNCT
ejpam-6632	32	10	≺	≺	NOUN
ejpam-6632	32	11	g(ζ	g(ζ	PROPN
ejpam-6632	32	12	)	)	PUNCT
ejpam-6632	32	13	in	in	ADP
ejpam-6632	32	14	d.	d.	PROPN
ejpam-6632	32	15	as	as	SCONJ
ejpam-6632	32	16	you	you	PRON
ejpam-6632	32	17	can	can	AUX
ejpam-6632	32	18	see	see	VERB
ejpam-6632	32	19	,	,	PUNCT
ejpam-6632	32	20	if	if	SCONJ
ejpam-6632	32	21	ψ(ζ	ψ(ζ	NOUN
ejpam-6632	32	22	)	)	PUNCT
ejpam-6632	32	23	=	=	SYM
ejpam-6632	32	24	ζ	ζ	NOUN
ejpam-6632	32	25	,	,	PUNCT
ejpam-6632	32	26	therefore	therefore	ADV
ejpam-6632	32	27	h(ζ	h(ζ	NOUN
ejpam-6632	32	28	)	)	PUNCT
ejpam-6632	32	29	=	=	SYM
ejpam-6632	32	30	ρ(ζ)g(ζ	ρ(ζ)g(ζ	NOUN
ejpam-6632	32	31	)	)	PUNCT
ejpam-6632	32	32	and	and	CCONJ
ejpam-6632	32	33	h	h	NOUN
ejpam-6632	32	34	is	be	AUX
ejpam-6632	32	35	majorized	majorize	VERB
ejpam-6632	32	36	by	by	ADP
ejpam-6632	32	37	g	g	PROPN
ejpam-6632	32	38	,	,	PUNCT
ejpam-6632	32	39	so	so	SCONJ
ejpam-6632	32	40	h(ζ	h(ζ	NOUN
ejpam-6632	32	41	)	)	PUNCT
ejpam-6632	33	1	<	<	X
ejpam-6632	33	2	<	<	X
ejpam-6632	33	3	g(ζ	g(ζ	PROPN
ejpam-6632	33	4	)	)	PUNCT
ejpam-6632	33	5	in	in	ADP
ejpam-6632	33	6	d.it	d.it	PROPN
ejpam-6632	33	7	follows	follow	VERB
ejpam-6632	33	8	that	that	SCONJ
ejpam-6632	33	9	quasi	quasi	NOUN
ejpam-6632	33	10	-	-	NOUN
ejpam-6632	33	11	subordination	subordination	NOUN
ejpam-6632	33	12	is	be	AUX
ejpam-6632	33	13	an	an	DET
ejpam-6632	33	14	oversimplification	oversimplification	NOUN
ejpam-6632	33	15	of	of	ADP
ejpam-6632	33	16	both	both	DET
ejpam-6632	33	17	majorization	majorization	NOUN
ejpam-6632	33	18	and	and	CCONJ
ejpam-6632	33	19	subordination	subordination	NOUN
ejpam-6632	33	20	.	.	PUNCT
ejpam-6632	34	1	refer[9–13	refer[9–13	NOUN
ejpam-6632	34	2	]	]	PUNCT
ejpam-6632	34	3	to	to	PART
ejpam-6632	34	4	understand	understand	VERB
ejpam-6632	34	5	more	more	ADJ
ejpam-6632	34	6	about	about	ADP
ejpam-6632	34	7	quasi	quasi	NOUN
ejpam-6632	34	8	-	-	NOUN
ejpam-6632	34	9	subordination	subordination	NOUN
ejpam-6632	34	10	.	.	PUNCT
ejpam-6632	35	1	it	it	PRON
ejpam-6632	35	2	is	be	AUX
ejpam-6632	35	3	predicted	predict	VERB
ejpam-6632	35	4	that	that	SCONJ
ejpam-6632	35	5	ρ	ρ	PROPN
ejpam-6632	35	6	is	be	AUX
ejpam-6632	35	7	holomorphic	holomorphic	ADJ
ejpam-6632	35	8	ind	ind	NOUN
ejpam-6632	35	9	with	with	ADP
ejpam-6632	35	10	δ(0	δ(0	PROPN
ejpam-6632	35	11	)	)	PUNCT
ejpam-6632	35	12	=	=	SYM
ejpam-6632	35	13	1	1	NUM
ejpam-6632	35	14	across	across	ADP
ejpam-6632	35	15	this	this	DET
ejpam-6632	35	16	study	study	NOUN
ejpam-6632	35	17	[	[	X
ejpam-6632	35	18	6	6	NUM
ejpam-6632	35	19	,	,	PUNCT
ejpam-6632	35	20	8	8	NUM
ejpam-6632	35	21	]	]	PUNCT
ejpam-6632	35	22	.	.	PUNCT
ejpam-6632	36	1	we	we	PRON
ejpam-6632	36	2	establish	establish	VERB
ejpam-6632	36	3	the	the	DET
ejpam-6632	36	4	classes	class	NOUN
ejpam-6632	36	5	listed	list	VERB
ejpam-6632	36	6	below	below	ADV
ejpam-6632	36	7	.	.	PUNCT
ejpam-6632	37	1	definition	definition	NOUN
ejpam-6632	37	2	1.1	1.1	NUM
ejpam-6632	37	3	assuming	assume	VERB
ejpam-6632	37	4	the	the	DET
ejpam-6632	37	5	function	function	NOUN
ejpam-6632	37	6	h	h	NOUN
ejpam-6632	37	7	∈	∈	PROPN
ejpam-6632	37	8	a	a	PRON
ejpam-6632	37	9	of	of	ADP
ejpam-6632	37	10	class	class	NOUN
ejpam-6632	37	11	s∗	s∗	PROPN
ejpam-6632	37	12	q	q	PROPN
ejpam-6632	37	13	(	(	PUNCT
ejpam-6632	37	14	δ	δ	PROPN
ejpam-6632	37	15	)	)	PUNCT
ejpam-6632	37	16	that	that	PRON
ejpam-6632	37	17	satisfies	satisfy	VERB
ejpam-6632	37	18	the	the	DET
ejpam-6632	37	19	quasi	quasi	NOUN
ejpam-6632	37	20	-	-	NOUN
ejpam-6632	37	21	subordination	subordination	NOUN
ejpam-6632	37	22	[	[	X
ejpam-6632	37	23	14	14	NUM
ejpam-6632	37	24	]	]	SYM
ejpam-6632	37	25	:	:	PUNCT
ejpam-6632	37	26	ζh′(ζ	ζh′(ζ	PROPN
ejpam-6632	37	27	)	)	PUNCT
ejpam-6632	37	28	h(ζ	h(ζ	NOUN
ejpam-6632	37	29	)	)	PUNCT
ejpam-6632	37	30	−	−	PROPN
ejpam-6632	37	31	1	1	NUM
ejpam-6632	37	32	≺q	≺q	NOUN
ejpam-6632	37	33	δ(ζ)−	δ(ζ)−	PROPN
ejpam-6632	37	34	1	1	NUM
ejpam-6632	37	35	.	.	PUNCT
ejpam-6632	38	1	(	(	PUNCT
ejpam-6632	38	2	1.4	1.4	NUM
ejpam-6632	38	3	)	)	PUNCT
ejpam-6632	38	4	indicates	indicate	VERB
ejpam-6632	38	5	that	that	SCONJ
ejpam-6632	38	6	the	the	DET
ejpam-6632	38	7	logarithmic	logarithmic	ADJ
ejpam-6632	38	8	derivative	derivative	NOUN
ejpam-6632	38	9	of	of	ADP
ejpam-6632	38	10	h	h	NOUN
ejpam-6632	38	11	is	be	AUX
ejpam-6632	38	12	quasi	quasi	ADJ
ejpam-6632	38	13	-	-	ADJ
ejpam-6632	38	14	subordinate	subordinate	ADJ
ejpam-6632	38	15	to	to	PART
ejpam-6632	38	16	δ(ζ	δ(ζ	NUM
ejpam-6632	38	17	)	)	PUNCT
ejpam-6632	38	18	,	,	PUNCT
ejpam-6632	38	19	which	which	PRON
ejpam-6632	38	20	implies	imply	VERB
ejpam-6632	38	21	that	that	SCONJ
ejpam-6632	38	22	the	the	DET
ejpam-6632	38	23	growth	growth	NOUN
ejpam-6632	38	24	of	of	ADP
ejpam-6632	38	25	h	h	NOUN
ejpam-6632	38	26	is	be	AUX
ejpam-6632	38	27	governed	govern	VERB
ejpam-6632	38	28	by	by	ADP
ejpam-6632	38	29	the	the	DET
ejpam-6632	38	30	function	function	PROPN
ejpam-6632	38	31	δ	δ	PROPN
ejpam-6632	38	32	.	.	PUNCT
ejpam-6632	39	1	definition	definition	NOUN
ejpam-6632	39	2	1.2	1.2	NUM
ejpam-6632	39	3	assuming	assume	VERB
ejpam-6632	39	4	the	the	DET
ejpam-6632	39	5	function	function	NOUN
ejpam-6632	39	6	h	h	NOUN
ejpam-6632	39	7	∈	∈	PROPN
ejpam-6632	39	8	a	a	PRON
ejpam-6632	39	9	of	of	ADP
ejpam-6632	39	10	class	class	NOUN
ejpam-6632	39	11	cq(δ	cq(δ	NUM
ejpam-6632	39	12	)	)	PUNCT
ejpam-6632	39	13	that	that	PRON
ejpam-6632	39	14	satisfies	satisfy	VERB
ejpam-6632	39	15	the	the	DET
ejpam-6632	39	16	quasi	quasi	NOUN
ejpam-6632	39	17	-	-	NOUN
ejpam-6632	39	18	subordination	subordination	NOUN
ejpam-6632	39	19	[	[	X
ejpam-6632	39	20	15	15	NUM
ejpam-6632	39	21	]	]	X
ejpam-6632	39	22	:	:	PUNCT
ejpam-6632	39	23	ζh′′(ζ	ζh′′(ζ	NOUN
ejpam-6632	39	24	)	)	PUNCT
ejpam-6632	39	25	h′(ζ	h′(ζ	PROPN
ejpam-6632	39	26	)	)	PUNCT
ejpam-6632	39	27	−	−	NUM
ejpam-6632	39	28	1	1	NUM
ejpam-6632	39	29	≺q	≺q	NOUN
ejpam-6632	39	30	δ(ζ)−	δ(ζ)−	PROPN
ejpam-6632	39	31	1	1	NUM
ejpam-6632	39	32	.	.	PUNCT
ejpam-6632	40	1	(	(	PUNCT
ejpam-6632	40	2	1.5	1.5	NUM
ejpam-6632	40	3	)	)	PUNCT
ejpam-6632	40	4	definition	definition	NOUN
ejpam-6632	40	5	1.3	1.3	NUM
ejpam-6632	40	6	assuming	assume	VERB
ejpam-6632	40	7	the	the	DET
ejpam-6632	40	8	function	function	NOUN
ejpam-6632	40	9	h	h	NOUN
ejpam-6632	40	10	∈	∈	PROPN
ejpam-6632	40	11	a	a	PRON
ejpam-6632	40	12	of	of	ADP
ejpam-6632	40	13	class	class	NOUN
ejpam-6632	40	14	rq(δ	rq(δ	PUNCT
ejpam-6632	40	15	)	)	PUNCT
ejpam-6632	40	16	that	that	PRON
ejpam-6632	40	17	satisfy	satisfy	VERB
ejpam-6632	40	18	the	the	DET
ejpam-6632	40	19	quasi	quasi	NOUN
ejpam-6632	40	20	-	-	NOUN
ejpam-6632	40	21	subordination	subordination	NOUN
ejpam-6632	40	22	[	[	X
ejpam-6632	40	23	16	16	NUM
ejpam-6632	40	24	]	]	PUNCT
ejpam-6632	40	25	.	.	PUNCT
ejpam-6632	41	1	h′(ζ)−	h′(ζ)−	NOUN
ejpam-6632	41	2	1	1	NUM
ejpam-6632	41	3	≺q	≺q	NOUN
ejpam-6632	41	4	δ(ζ)−	δ(ζ)−	PROPN
ejpam-6632	41	5	1	1	NUM
ejpam-6632	41	6	(	(	PUNCT
ejpam-6632	41	7	1.6	1.6	NUM
ejpam-6632	41	8	)	)	PUNCT
ejpam-6632	41	9	a	a	DET
ejpam-6632	41	10	univalent	univalent	ADJ
ejpam-6632	41	11	function	function	NOUN
ejpam-6632	41	12	h	h	NOUN
ejpam-6632	41	13	∈	∈	PROPN
ejpam-6632	41	14	a	a	PRON
ejpam-6632	41	15	has	have	VERB
ejpam-6632	41	16	an	an	DET
ejpam-6632	41	17	n	n	ADV
ejpam-6632	41	18	-	-	PUNCT
ejpam-6632	41	19	th	th	VERB
ejpam-6632	41	20	coefficient	coefficient	NOUN
ejpam-6632	41	21	that	that	PRON
ejpam-6632	41	22	is	be	AUX
ejpam-6632	41	23	constrained	constrain	VERB
ejpam-6632	41	24	by	by	ADP
ejpam-6632	41	25	n	n	CCONJ
ejpam-6632	41	26	,	,	PUNCT
ejpam-6632	41	27	according	accord	VERB
ejpam-6632	41	28	to	to	ADP
ejpam-6632	41	29	[	[	X
ejpam-6632	41	30	17	17	NUM
ejpam-6632	41	31	]	]	PUNCT
ejpam-6632	41	32	.	.	PUNCT
ejpam-6632	42	1	the	the	DET
ejpam-6632	42	2	coefficient	coefficient	NOUN
ejpam-6632	42	3	boundaries	boundary	NOUN
ejpam-6632	42	4	provide	provide	VERB
ejpam-6632	42	5	a	a	DET
ejpam-6632	42	6	variety	variety	NOUN
ejpam-6632	42	7	of	of	ADP
ejpam-6632	42	8	information	information	NOUN
ejpam-6632	42	9	about	about	ADP
ejpam-6632	42	10	the	the	DET
ejpam-6632	42	11	function	function	NOUN
ejpam-6632	42	12	’s	’s	PART
ejpam-6632	42	13	geometric	geometric	ADJ
ejpam-6632	42	14	features	feature	NOUN
ejpam-6632	42	15	.	.	PUNCT
ejpam-6632	43	1	many	many	ADJ
ejpam-6632	43	2	of	of	ADP
ejpam-6632	43	3	the	the	DET
ejpam-6632	43	4	writers	writer	NOUN
ejpam-6632	43	5	looked	look	VERB
ejpam-6632	43	6	at	at	ADP
ejpam-6632	43	7	the	the	DET
ejpam-6632	43	8	boundaries	boundary	NOUN
ejpam-6632	43	9	for	for	ADP
ejpam-6632	43	10	the	the	DET
ejpam-6632	43	11	fekete	fekete	PROPN
ejpam-6632	43	12	–	–	PUNCT
ejpam-6632	43	13	szegö	szegö	ADJ
ejpam-6632	43	14	coefficient	coefficient	NOUN
ejpam-6632	43	15	for	for	ADP
ejpam-6632	43	16	different	different	ADJ
ejpam-6632	43	17	classes	class	NOUN
ejpam-6632	43	18	.	.	PUNCT
ejpam-6632	44	1	for	for	ADP
ejpam-6632	44	2	a	a	DET
ejpam-6632	44	3	more	more	ADV
ejpam-6632	44	4	extensive	extensive	ADJ
ejpam-6632	44	5	description	description	NOUN
ejpam-6632	44	6	,	,	PUNCT
ejpam-6632	44	7	see	see	VERB
ejpam-6632	44	8	[	[	X
ejpam-6632	44	9	18–22	18–22	NUM
ejpam-6632	44	10	]	]	PUNCT
ejpam-6632	44	11	.	.	PUNCT
ejpam-6632	45	1	assuming	assume	VERB
ejpam-6632	45	2	the	the	DET
ejpam-6632	45	3	holomorphic	holomorphic	ADJ
ejpam-6632	45	4	functions	function	NOUN
ejpam-6632	45	5	ψ	ψ	X
ejpam-6632	45	6	with	with	ADP
ejpam-6632	45	7	class	class	NOUN
ejpam-6632	45	8	ω	ω	PROPN
ejpam-6632	45	9	,	,	PUNCT
ejpam-6632	45	10	that	that	SCONJ
ejpam-6632	45	11	ψ(0	ψ(0	NOUN
ejpam-6632	45	12	)	)	PUNCT
ejpam-6632	45	13	=	=	SYM
ejpam-6632	45	14	0	0	NUM
ejpam-6632	45	15	normalizes	normalize	VERB
ejpam-6632	45	16	it	it	PRON
ejpam-6632	45	17	,	,	PUNCT
ejpam-6632	45	18	and	and	CCONJ
ejpam-6632	45	19	that	that	SCONJ
ejpam-6632	45	20	|ψ(ζ)|	|ψ(ζ)|	NOUN
ejpam-6632	45	21	<	<	X
ejpam-6632	45	22	1	1	NUM
ejpam-6632	45	23	.	.	PUNCT
ejpam-6632	46	1	the	the	DET
ejpam-6632	46	2	following	follow	VERB
ejpam-6632	46	3	lemma	lemma	PROPN
ejpam-6632	46	4	may	may	AUX
ejpam-6632	46	5	be	be	AUX
ejpam-6632	46	6	used	use	VERB
ejpam-6632	46	7	to	to	PART
ejpam-6632	46	8	illustrate	illustrate	VERB
ejpam-6632	46	9	our	our	PRON
ejpam-6632	46	10	conclusions	conclusion	NOUN
ejpam-6632	46	11	.	.	PUNCT
ejpam-6632	47	1	lemma	lemma	PROPN
ejpam-6632	47	2	1.11	1.11	NUM
ejpam-6632	47	3	see	see	VERB
ejpam-6632	47	4	[	[	X
ejpam-6632	47	5	23	23	NUM
ejpam-6632	47	6	]	]	PUNCT
ejpam-6632	47	7	.	.	PUNCT
ejpam-6632	48	1	for	for	ADP
ejpam-6632	48	2	any	any	DET
ejpam-6632	48	3	complex	complex	ADJ
ejpam-6632	48	4	number	number	NOUN
ejpam-6632	48	5	r	r	NOUN
ejpam-6632	48	6	,	,	PUNCT
ejpam-6632	48	7	|ψ2	|ψ2	NOUN
ejpam-6632	48	8	−	−	PROPN
ejpam-6632	48	9	rψ2	rψ2	NOUN
ejpam-6632	48	10	1|	1|	NUM
ejpam-6632	48	11	≤	≤	NUM
ejpam-6632	48	12	max{1	max{1	NOUN
ejpam-6632	48	13	;	;	PUNCT
ejpam-6632	48	14	|r|	|r|	NOUN
ejpam-6632	48	15	}	}	PUNCT
ejpam-6632	48	16	.	.	PUNCT
ejpam-6632	49	1	(	(	PUNCT
ejpam-6632	49	2	1.7	1.7	NUM
ejpam-6632	49	3	)	)	PUNCT
ejpam-6632	49	4	if	if	SCONJ
ejpam-6632	49	5	ψ	ψ	NOUN
ejpam-6632	49	6	is	be	AUX
ejpam-6632	49	7	in	in	ADP
ejpam-6632	49	8	ω	ω	NUM
ejpam-6632	49	9	.	.	PUNCT
ejpam-6632	50	1	the	the	DET
ejpam-6632	50	2	function	function	NOUN
ejpam-6632	50	3	ψ(ζ	ψ(ζ	NOUN
ejpam-6632	50	4	)	)	PUNCT
ejpam-6632	50	5	=	=	SYM
ejpam-6632	50	6	ζ2	ζ2	NOUN
ejpam-6632	50	7	or	or	CCONJ
ejpam-6632	50	8	ψ(ζ	ψ(ζ	NOUN
ejpam-6632	50	9	)	)	PUNCT
ejpam-6632	51	1	=	=	SYM
ejpam-6632	51	2	ζ	ζ	NOUN
ejpam-6632	51	3	produces	produce	VERB
ejpam-6632	51	4	crisp	crisp	ADJ
ejpam-6632	51	5	results	result	NOUN
ejpam-6632	51	6	.	.	PUNCT
ejpam-6632	52	1	r.	r.	PROPN
ejpam-6632	52	2	kamali	kamali	PROPN
ejpam-6632	52	3	et	et	PROPN
ejpam-6632	52	4	al	al	PROPN
ejpam-6632	52	5	.	.	PUNCT
ejpam-6632	52	6	/	/	SYM
ejpam-6632	52	7	eur	eur	PROPN
ejpam-6632	52	8	.	.	PUNCT
ejpam-6632	53	1	j.	j.	PROPN
ejpam-6632	53	2	pure	pure	PROPN
ejpam-6632	53	3	appl	appl	PROPN
ejpam-6632	53	4	.	.	PROPN
ejpam-6632	53	5	math	math	PROPN
ejpam-6632	53	6	,	,	PUNCT
ejpam-6632	53	7	18	18	NUM
ejpam-6632	53	8	(	(	PUNCT
ejpam-6632	53	9	4	4	NUM
ejpam-6632	53	10	)	)	PUNCT
ejpam-6632	53	11	(	(	PUNCT
ejpam-6632	53	12	2025	2025	NUM
ejpam-6632	53	13	)	)	PUNCT
ejpam-6632	53	14	,	,	PUNCT
ejpam-6632	53	15	6632	6632	NUM
ejpam-6632	53	16	3	3	NUM
ejpam-6632	53	17	of	of	ADP
ejpam-6632	53	18	19	19	NUM
ejpam-6632	53	19	2	2	NUM
ejpam-6632	53	20	.	.	PUNCT
ejpam-6632	53	21	main	main	ADJ
ejpam-6632	53	22	results	result	NOUN
ejpam-6632	53	23	theorem	theorem	VERB
ejpam-6632	53	24	2.1	2.1	NUM
ejpam-6632	53	25	states	state	NOUN
ejpam-6632	53	26	and	and	CCONJ
ejpam-6632	53	27	proves	prove	VERB
ejpam-6632	53	28	for	for	ADP
ejpam-6632	53	29	the	the	DET
ejpam-6632	53	30	classes	class	NOUN
ejpam-6632	53	31	lq(α	lq(α	NUM
ejpam-6632	53	32	,	,	PUNCT
ejpam-6632	53	33	δ	δ	PROPN
ejpam-6632	53	34	)	)	PUNCT
ejpam-6632	53	35	and	and	CCONJ
ejpam-6632	53	36	mq(α	mq(α	NOUN
ejpam-6632	53	37	,	,	PUNCT
ejpam-6632	53	38	δ	δ	PROPN
ejpam-6632	53	39	)	)	PUNCT
ejpam-6632	53	40	defined	define	VERB
ejpam-6632	53	41	by	by	ADP
ejpam-6632	53	42	quasi	quasi	NOUN
ejpam-6632	53	43	-	-	NOUN
ejpam-6632	53	44	subordination	subordination	NOUN
ejpam-6632	53	45	[	[	X
ejpam-6632	53	46	24	24	NUM
ejpam-6632	53	47	]	]	PUNCT
ejpam-6632	53	48	.	.	PUNCT
ejpam-6632	54	1	let	let	VERB
ejpam-6632	54	2	h(ζ	h(ζ	NOUN
ejpam-6632	54	3	)	)	PUNCT
ejpam-6632	54	4	=	=	PUNCT
ejpam-6632	55	1	ζ+a2ζ	ζ+a2ζ	NOUN
ejpam-6632	56	1	2+a3ζ	2+a3ζ	NUM
ejpam-6632	56	2	3	3	NUM
ejpam-6632	56	3	+	+	NOUN
ejpam-6632	56	4	.	.	PUNCT
ejpam-6632	56	5	.	.	PUNCT
ejpam-6632	56	6	.	.	PUNCT
ejpam-6632	57	1	,	,	PUNCT
ejpam-6632	57	2	δ(ζ	δ(ζ	NUM
ejpam-6632	57	3	)	)	PUNCT
ejpam-6632	57	4	=	=	PUNCT
ejpam-6632	58	1	1+p1ζ+p2ζ	1+p1ζ+p2ζ	NUM
ejpam-6632	59	1	2+p3ζ	2+p3ζ	NUM
ejpam-6632	59	2	3	3	NUM
ejpam-6632	59	3	+	+	NOUN
ejpam-6632	59	4	.	.	PUNCT
ejpam-6632	59	5	.	.	PUNCT
ejpam-6632	59	6	.	.	PUNCT
ejpam-6632	60	1	,	,	PUNCT
ejpam-6632	60	2	p(ζ	p(ζ	PROPN
ejpam-6632	60	3	)	)	PUNCT
ejpam-6632	60	4	=	=	SYM
ejpam-6632	60	5	q0+q1ζ+q2ζ	q0+q1ζ+q2ζ	NUM
ejpam-6632	61	1	2+q3ζ	2+q3ζ	NUM
ejpam-6632	61	2	3	3	NUM
ejpam-6632	61	3	+	+	NOUN
ejpam-6632	61	4	.	.	PUNCT
ejpam-6632	61	5	.	.	PUNCT
ejpam-6632	61	6	.	.	PUNCT
ejpam-6632	62	1	,	,	PUNCT
ejpam-6632	62	2	p1	p1	PROPN
ejpam-6632	62	3	∈	∈	PROPN
ejpam-6632	62	4	r	r	NOUN
ejpam-6632	62	5	and	and	CCONJ
ejpam-6632	62	6	p1	p1	PROPN
ejpam-6632	62	7	>	>	X
ejpam-6632	62	8	0	0	PUNCT
ejpam-6632	62	9	see	see	VERB
ejpam-6632	62	10	[	[	X
ejpam-6632	62	11	25	25	NUM
ejpam-6632	62	12	]	]	PUNCT
ejpam-6632	62	13	.	.	PUNCT
ejpam-6632	63	1	theorem	theorem	VERB
ejpam-6632	63	2	2.1	2.1	NUM
ejpam-6632	63	3	if	if	SCONJ
ejpam-6632	63	4	h	h	NOUN
ejpam-6632	63	5	∈	∈	PROPN
ejpam-6632	63	6	a	a	PRON
ejpam-6632	63	7	is	be	AUX
ejpam-6632	63	8	a	a	DET
ejpam-6632	63	9	member	member	NOUN
ejpam-6632	63	10	of	of	ADP
ejpam-6632	63	11	s∗(δ	s∗(δ	PROPN
ejpam-6632	63	12	)	)	PUNCT
ejpam-6632	63	13	,	,	PUNCT
ejpam-6632	63	14	then	then	ADV
ejpam-6632	63	15	|a2|	|a2|	VERB
ejpam-6632	63	16	≤	≤	ADJ
ejpam-6632	63	17	p1	p1	NOUN
ejpam-6632	63	18	1	1	NUM
ejpam-6632	63	19	+	+	NUM
ejpam-6632	63	20	α	α	PROPN
ejpam-6632	63	21	,	,	PUNCT
ejpam-6632	63	22	|a3|	|a3|	VERB
ejpam-6632	63	23	≤	≤	ADJ
ejpam-6632	63	24	p1	p1	PROPN
ejpam-6632	63	25	2	2	NUM
ejpam-6632	63	26	(	(	PUNCT
ejpam-6632	63	27	1	1	NUM
ejpam-6632	64	1	+	+	CCONJ
ejpam-6632	64	2	max	max	PROPN
ejpam-6632	64	3	{	{	PUNCT
ejpam-6632	64	4	1	1	NUM
ejpam-6632	64	5	,	,	PUNCT
ejpam-6632	64	6	p1	p1	PROPN
ejpam-6632	64	7	∣∣∣∣1−	∣∣∣∣1−	NUM
ejpam-6632	64	8	α	α	NOUN
ejpam-6632	64	9	1	1	NUM
ejpam-6632	64	10	+	+	NUM
ejpam-6632	64	11	α	α	PROPN
ejpam-6632	64	12	∣∣∣∣+	∣∣∣∣+	PROPN
ejpam-6632	64	13	∣∣∣α	∣∣∣α	PROPN
ejpam-6632	64	14	2	2	NUM
ejpam-6632	64	15	∣∣∣+	∣∣∣+	PROPN
ejpam-6632	64	16	∣∣∣∣p2	∣∣∣∣p2	PROPN
ejpam-6632	64	17	p1	p1	PROPN
ejpam-6632	64	18	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6632	64	19	}	}	PUNCT
ejpam-6632	64	20	)	)	PUNCT
ejpam-6632	64	21	,	,	PUNCT
ejpam-6632	64	22	and	and	CCONJ
ejpam-6632	64	23	for	for	ADP
ejpam-6632	64	24	any	any	DET
ejpam-6632	64	25	complex	complex	ADJ
ejpam-6632	64	26	number	number	NOUN
ejpam-6632	64	27	µ	µ	NOUN
ejpam-6632	64	28	,	,	PUNCT
ejpam-6632	64	29	|a3	|a3	NOUN
ejpam-6632	64	30	−	−	ADP
ejpam-6632	64	31	µa22|	µa22|	ADJ
ejpam-6632	64	32	≤	≤	ADJ
ejpam-6632	64	33	p1	p1	NOUN
ejpam-6632	64	34	2	2	NUM
ejpam-6632	64	35	(	(	PUNCT
ejpam-6632	64	36	1	1	NUM
ejpam-6632	64	37	+	+	CCONJ
ejpam-6632	64	38	max	max	PROPN
ejpam-6632	64	39	{	{	PUNCT
ejpam-6632	64	40	1	1	NUM
ejpam-6632	64	41	,	,	PUNCT
ejpam-6632	64	42	p1	p1	PROPN
ejpam-6632	64	43	∣∣∣∣1−	∣∣∣∣1−	NUM
ejpam-6632	64	44	α	α	NOUN
ejpam-6632	64	45	1	1	NUM
ejpam-6632	64	46	+	+	NUM
ejpam-6632	64	47	α	α	PROPN
ejpam-6632	64	48	−	−	NOUN
ejpam-6632	64	49	2µ	2µ	NUM
ejpam-6632	64	50	(	(	PUNCT
ejpam-6632	64	51	1	1	NUM
ejpam-6632	64	52	+	+	NUM
ejpam-6632	64	53	α)2	α)2	NOUN
ejpam-6632	64	54	∣∣∣∣+	∣∣∣∣+	NOUN
ejpam-6632	64	55	∣∣∣α	∣∣∣α	PROPN
ejpam-6632	64	56	2	2	NUM
ejpam-6632	64	57	∣∣∣+	∣∣∣+	PROPN
ejpam-6632	64	58	∣∣∣∣p2	∣∣∣∣p2	PROPN
ejpam-6632	64	59	p1	p1	PROPN
ejpam-6632	64	60	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6632	64	61	}	}	PUNCT
ejpam-6632	64	62	)	)	PUNCT
ejpam-6632	64	63	.	.	PUNCT
ejpam-6632	65	1	(	(	PUNCT
ejpam-6632	65	2	2.1	2.1	NUM
ejpam-6632	65	3	)	)	PUNCT
ejpam-6632	65	4	the	the	DET
ejpam-6632	65	5	maximum	maximum	NOUN
ejpam-6632	65	6	arises	arise	VERB
ejpam-6632	65	7	because	because	SCONJ
ejpam-6632	65	8	different	different	ADJ
ejpam-6632	65	9	estimates	estimate	NOUN
ejpam-6632	65	10	for	for	ADP
ejpam-6632	65	11	|a3|	|a3|	NOUN
ejpam-6632	65	12	and	and	CCONJ
ejpam-6632	65	13	|a3−µa22|	|a3−µa22|	NOUN
ejpam-6632	65	14	are	be	AUX
ejpam-6632	65	15	possible	possible	ADJ
ejpam-6632	65	16	,	,	PUNCT
ejpam-6632	65	17	comes	come	VERB
ejpam-6632	65	18	from	from	ADP
ejpam-6632	65	19	an	an	DET
ejpam-6632	65	20	inequality	inequality	NOUN
ejpam-6632	65	21	involving	involve	VERB
ejpam-6632	65	22	the	the	DET
ejpam-6632	65	23	real	real	ADJ
ejpam-6632	65	24	part	part	NOUN
ejpam-6632	65	25	of	of	ADP
ejpam-6632	65	26	a	a	DET
ejpam-6632	65	27	subordinated	subordinated	ADJ
ejpam-6632	65	28	function	function	NOUN
ejpam-6632	65	29	and	and	CCONJ
ejpam-6632	65	30	carathéodory	carathéodory	ADJ
ejpam-6632	65	31	-	-	PUNCT
ejpam-6632	65	32	type	type	NOUN
ejpam-6632	65	33	lemmas	lemma	NOUN
ejpam-6632	65	34	and	and	CCONJ
ejpam-6632	65	35	to	to	PART
ejpam-6632	65	36	ensure	ensure	VERB
ejpam-6632	65	37	the	the	DET
ejpam-6632	65	38	bound	bind	VERB
ejpam-6632	65	39	is	be	AUX
ejpam-6632	65	40	valid	valid	ADJ
ejpam-6632	65	41	for	for	ADP
ejpam-6632	65	42	all	all	DET
ejpam-6632	65	43	functions	function	NOUN
ejpam-6632	65	44	,	,	PUNCT
ejpam-6632	65	45	the	the	DET
ejpam-6632	65	46	larger	large	ADJ
ejpam-6632	65	47	value	value	NOUN
ejpam-6632	65	48	is	be	AUX
ejpam-6632	65	49	taken	take	VERB
ejpam-6632	65	50	.	.	PUNCT
ejpam-6632	66	1	[	[	X
ejpam-6632	66	2	26	26	NUM
ejpam-6632	66	3	]	]	X
ejpam-6632	66	4	if	if	SCONJ
ejpam-6632	66	5	h	h	PROPN
ejpam-6632	66	6	∈	∈	PROPN
ejpam-6632	66	7	s∗	s∗	VERB
ejpam-6632	66	8	q	q	PROPN
ejpam-6632	66	9	(	(	PUNCT
ejpam-6632	66	10	δ	δ	PROPN
ejpam-6632	66	11	)	)	PUNCT
ejpam-6632	66	12	,	,	PUNCT
ejpam-6632	66	13	then	then	ADV
ejpam-6632	66	14	there	there	PRON
ejpam-6632	66	15	exist	exist	VERB
ejpam-6632	66	16	holomorphic	holomorphic	ADJ
ejpam-6632	66	17	functions	function	NOUN
ejpam-6632	66	18	ρ	ρ	PROPN
ejpam-6632	66	19	and	and	CCONJ
ejpam-6632	66	20	ψ	ψ	NOUN
ejpam-6632	66	21	,	,	PUNCT
ejpam-6632	66	22	with	with	ADP
ejpam-6632	66	23	|ρ(ζ)|	|ρ(ζ)|	PROPN
ejpam-6632	66	24	≤	≤	NUM
ejpam-6632	66	25	1	1	NUM
ejpam-6632	66	26	,	,	PUNCT
ejpam-6632	66	27	ψ(0	ψ(0	NOUN
ejpam-6632	66	28	)	)	PUNCT
ejpam-6632	66	29	=	=	SYM
ejpam-6632	66	30	0	0	NUM
ejpam-6632	66	31	and	and	CCONJ
ejpam-6632	66	32	|ψ(ζ)|	|ψ(ζ)|	NOUN
ejpam-6632	66	33	<	<	X
ejpam-6632	66	34	1	1	NUM
ejpam-6632	66	35	such	such	ADJ
ejpam-6632	66	36	that	that	DET
ejpam-6632	66	37	ζ1−αh′(ζ	ζ1−αh′(ζ	NOUN
ejpam-6632	66	38	)	)	PUNCT
ejpam-6632	67	1	[	[	X
ejpam-6632	67	2	h(ζ)]1−α	h(ζ)]1−α	VERB
ejpam-6632	67	3	−	−	NUM
ejpam-6632	67	4	1	1	NUM
ejpam-6632	67	5	=	=	SYM
ejpam-6632	67	6	ρ(ζ	ρ(ζ	NOUN
ejpam-6632	67	7	)	)	PUNCT
ejpam-6632	68	1	[	[	X
ejpam-6632	68	2	δ(ψ(ζ))−	δ(ψ(ζ))−	NOUN
ejpam-6632	68	3	1	1	NUM
ejpam-6632	68	4	]	]	PUNCT
ejpam-6632	68	5	(	(	PUNCT
ejpam-6632	68	6	2.2	2.2	NUM
ejpam-6632	68	7	)	)	PUNCT
ejpam-6632	68	8	p(ψ(ζ))−	p(ψ(ζ))−	NOUN
ejpam-6632	68	9	1	1	NUM
ejpam-6632	68	10	=	=	SYM
ejpam-6632	68	11	p1ψ1ζ	p1ψ1ζ	NUM
ejpam-6632	69	1	+	+	CCONJ
ejpam-6632	69	2	(	(	PUNCT
ejpam-6632	69	3	p1ψ2	p1ψ2	NUM
ejpam-6632	69	4	+	+	SYM
ejpam-6632	69	5	p2ψ	p2ψ	NOUN
ejpam-6632	69	6	2	2	NUM
ejpam-6632	69	7	1)ζ	1)ζ	NUM
ejpam-6632	69	8	2	2	NUM
ejpam-6632	69	9	+	+	CCONJ
ejpam-6632	69	10	.	.	PUNCT
ejpam-6632	69	11	.	.	PUNCT
ejpam-6632	69	12	.	.	PUNCT
ejpam-6632	70	1	(	(	PUNCT
ejpam-6632	70	2	2.3	2.3	NUM
ejpam-6632	70	3	)	)	PUNCT
ejpam-6632	70	4	p(ζ)[φ(ψ(ζ))−	p(ζ)[φ(ψ(ζ))−	ADP
ejpam-6632	70	5	1	1	NUM
ejpam-6632	70	6	]	]	PUNCT
ejpam-6632	70	7	=	=	PUNCT
ejpam-6632	70	8	p1q0ψ1ζ	p1q0ψ1ζ	PROPN
ejpam-6632	70	9	+	+	CCONJ
ejpam-6632	70	10	(	(	PUNCT
ejpam-6632	70	11	p1q1ψ1	p1q1ψ1	PROPN
ejpam-6632	70	12	+	+	CCONJ
ejpam-6632	70	13	q0(p1ψ2	q0(p1ψ2	PROPN
ejpam-6632	70	14	+	+	CCONJ
ejpam-6632	70	15	p2ψ	p2ψ	PROPN
ejpam-6632	70	16	2	2	NUM
ejpam-6632	70	17	1))ζ	1))ζ	NUM
ejpam-6632	70	18	2	2	NUM
ejpam-6632	70	19	+	+	CCONJ
ejpam-6632	70	20	.	.	PUNCT
ejpam-6632	70	21	.	.	PUNCT
ejpam-6632	70	22	.	.	PUNCT
ejpam-6632	71	1	(	(	PUNCT
ejpam-6632	71	2	2.4	2.4	NUM
ejpam-6632	71	3	)	)	PUNCT
ejpam-6632	71	4	from	from	ADP
ejpam-6632	71	5	(	(	PUNCT
ejpam-6632	71	6	2.2	2.2	NUM
ejpam-6632	71	7	)	)	PUNCT
ejpam-6632	71	8	,	,	PUNCT
ejpam-6632	71	9	it	it	PRON
ejpam-6632	71	10	follows	follow	VERB
ejpam-6632	71	11	that	that	DET
ejpam-6632	71	12	a2	a2	PROPN
ejpam-6632	71	13	=	=	SYM
ejpam-6632	71	14	p1q0ψ1	p1q0ψ1	PROPN
ejpam-6632	71	15	(	(	PUNCT
ejpam-6632	71	16	1	1	NUM
ejpam-6632	71	17	+	+	NUM
ejpam-6632	71	18	α	α	X
ejpam-6632	71	19	)	)	PUNCT
ejpam-6632	71	20	(	(	PUNCT
ejpam-6632	71	21	2.5	2.5	NUM
ejpam-6632	71	22	)	)	PUNCT
ejpam-6632	71	23	a3	a3	NOUN
ejpam-6632	71	24	=	=	NOUN
ejpam-6632	71	25	1	1	NUM
ejpam-6632	71	26	2	2	NUM
ejpam-6632	71	27	+	+	NUM
ejpam-6632	71	28	α	α	PROPN
ejpam-6632	71	29	[	[	PUNCT
ejpam-6632	71	30	α	α	NOUN
ejpam-6632	71	31	2	2	NUM
ejpam-6632	71	32	p1q0ψ1	p1q0ψ1	PROPN
ejpam-6632	71	33	+	+	CCONJ
ejpam-6632	71	34	p1q1ψ1	p1q1ψ1	ADJ
ejpam-6632	71	35	+	+	CCONJ
ejpam-6632	71	36	p1q0ψ2	p1q0ψ2	NOUN
ejpam-6632	71	37	+	+	CCONJ
ejpam-6632	71	38	q0	q0	ADJ
ejpam-6632	71	39	(	(	PUNCT
ejpam-6632	71	40	(	(	PUNCT
ejpam-6632	71	41	1−	1−	NUM
ejpam-6632	71	42	α	α	NOUN
ejpam-6632	71	43	)	)	PUNCT
ejpam-6632	71	44	(	(	PUNCT
ejpam-6632	71	45	1	1	NUM
ejpam-6632	71	46	+	+	NUM
ejpam-6632	71	47	α	α	X
ejpam-6632	71	48	)	)	PUNCT
ejpam-6632	71	49	p	p	NOUN
ejpam-6632	71	50	2	2	NUM
ejpam-6632	71	51	1	1	NUM
ejpam-6632	71	52	q0	q0	ADJ
ejpam-6632	71	53	+	+	CCONJ
ejpam-6632	71	54	p2	p2	PROPN
ejpam-6632	71	55	)	)	PUNCT
ejpam-6632	71	56	ψ2	ψ2	NOUN
ejpam-6632	71	57	1	1	NUM
ejpam-6632	71	58	]	]	PUNCT
ejpam-6632	71	59	(	(	PUNCT
ejpam-6632	71	60	2.6	2.6	NUM
ejpam-6632	71	61	)	)	PUNCT
ejpam-6632	71	62	since	since	SCONJ
ejpam-6632	71	63	ρ(ζ	ρ(ζ	NOUN
ejpam-6632	71	64	)	)	PUNCT
ejpam-6632	71	65	is	be	AUX
ejpam-6632	71	66	holomorphic	holomorphic	ADJ
ejpam-6632	71	67	and	and	CCONJ
ejpam-6632	71	68	bounded	bound	VERB
ejpam-6632	71	69	in	in	ADP
ejpam-6632	71	70	d	d	PROPN
ejpam-6632	71	71	,	,	PUNCT
ejpam-6632	71	72	(	(	PUNCT
ejpam-6632	71	73	see	see	VERB
ejpam-6632	71	74	[	[	X
ejpam-6632	71	75	27	27	NUM
ejpam-6632	71	76	]	]	SYM
ejpam-6632	71	77	chapter	chapter	NOUN
ejpam-6632	71	78	1	1	NUM
ejpam-6632	71	79	,	,	PUNCT
ejpam-6632	71	80	schwarz	schwarz	PROPN
ejpam-6632	71	81	lemma	lemma	PROPN
ejpam-6632	71	82	and	and	CCONJ
ejpam-6632	71	83	coefficient	coefficient	NOUN
ejpam-6632	71	84	bounds	bound	NOUN
ejpam-6632	71	85	.	.	PUNCT
ejpam-6632	71	86	)	)	PUNCT
ejpam-6632	72	1	|qn|	|qn|	NOUN
ejpam-6632	72	2	≤	≤	NOUN
ejpam-6632	72	3	1−	1−	NUM
ejpam-6632	72	4	|qn|2	|qn|2	PUNCT
ejpam-6632	72	5	≤	≤	NUM
ejpam-6632	72	6	1	1	NUM
ejpam-6632	72	7	(	(	PUNCT
ejpam-6632	72	8	n	n	X
ejpam-6632	72	9	>	>	X
ejpam-6632	72	10	0	0	NUM
ejpam-6632	72	11	)	)	PUNCT
ejpam-6632	72	12	(	(	PUNCT
ejpam-6632	72	13	2.7	2.7	NUM
ejpam-6632	72	14	)	)	PUNCT
ejpam-6632	72	15	by	by	ADP
ejpam-6632	72	16	using	use	VERB
ejpam-6632	72	17	the	the	DET
ejpam-6632	72	18	inequality	inequality	NOUN
ejpam-6632	72	19	|ψ1|	|ψ1|	VERB
ejpam-6632	72	20	≤	≤	NUM
ejpam-6632	72	21	1	1	NUM
ejpam-6632	72	22	,	,	PUNCT
ejpam-6632	72	23	then	then	ADV
ejpam-6632	72	24	we	we	PRON
ejpam-6632	72	25	get	get	AUX
ejpam-6632	72	26	|a2|	|a2|	NOUN
ejpam-6632	72	27	≤	≤	ADJ
ejpam-6632	72	28	p1	p1	NOUN
ejpam-6632	72	29	(	(	PUNCT
ejpam-6632	72	30	1	1	NUM
ejpam-6632	72	31	+	+	NUM
ejpam-6632	72	32	α	α	X
ejpam-6632	72	33	)	)	PUNCT
ejpam-6632	72	34	(	(	PUNCT
ejpam-6632	72	35	2.8	2.8	NUM
ejpam-6632	72	36	)	)	PUNCT
ejpam-6632	72	37	r.	r.	PROPN
ejpam-6632	72	38	kamali	kamali	PROPN
ejpam-6632	72	39	et	et	PROPN
ejpam-6632	72	40	al	al	PROPN
ejpam-6632	72	41	.	.	PUNCT
ejpam-6632	72	42	/	/	SYM
ejpam-6632	72	43	eur	eur	PROPN
ejpam-6632	72	44	.	.	PUNCT
ejpam-6632	73	1	j.	j.	PROPN
ejpam-6632	73	2	pure	pure	PROPN
ejpam-6632	73	3	appl	appl	PROPN
ejpam-6632	73	4	.	.	PROPN
ejpam-6632	73	5	math	math	PROPN
ejpam-6632	73	6	,	,	PUNCT
ejpam-6632	73	7	18	18	NUM
ejpam-6632	73	8	(	(	PUNCT
ejpam-6632	73	9	4	4	NUM
ejpam-6632	73	10	)	)	PUNCT
ejpam-6632	73	11	(	(	PUNCT
ejpam-6632	73	12	2025	2025	NUM
ejpam-6632	73	13	)	)	PUNCT
ejpam-6632	73	14	,	,	PUNCT
ejpam-6632	73	15	6632	6632	NUM
ejpam-6632	73	16	4	4	NUM
ejpam-6632	73	17	of	of	ADP
ejpam-6632	73	18	19	19	NUM
ejpam-6632	73	19	further	far	ADV
ejpam-6632	73	20	,	,	PUNCT
ejpam-6632	73	21	a3	a3	VERB
ejpam-6632	73	22	−	−	PROPN
ejpam-6632	74	1	µa22	µa22	PROPN
ejpam-6632	74	2	=	=	PUNCT
ejpam-6632	74	3	1	1	NUM
ejpam-6632	74	4	2	2	NUM
ejpam-6632	74	5	+	+	NUM
ejpam-6632	74	6	α	α	NOUN
ejpam-6632	74	7	[	[	PUNCT
ejpam-6632	74	8	p1q1ψ1	p1q1ψ1	PROPN
ejpam-6632	74	9	+	+	CCONJ
ejpam-6632	74	10	q0	q0	PROPN
ejpam-6632	74	11	(	(	PUNCT
ejpam-6632	74	12	p1ψ2	p1ψ2	PROPN
ejpam-6632	74	13	+	+	CCONJ
ejpam-6632	74	14	α	α	NOUN
ejpam-6632	74	15	2	2	NUM
ejpam-6632	74	16	p1ψ1	p1ψ1	NOUN
ejpam-6632	74	17	)	)	PUNCT
ejpam-6632	75	1	+	+	CCONJ
ejpam-6632	75	2	(	(	PUNCT
ejpam-6632	75	3	p2	p2	PROPN
ejpam-6632	75	4	+	+	CCONJ
ejpam-6632	75	5	(	(	PUNCT
ejpam-6632	75	6	1−	1−	NUM
ejpam-6632	75	7	α	α	NOUN
ejpam-6632	75	8	)	)	PUNCT
ejpam-6632	75	9	(	(	PUNCT
ejpam-6632	75	10	1	1	NUM
ejpam-6632	75	11	+	+	NUM
ejpam-6632	75	12	α	α	X
ejpam-6632	75	13	)	)	PUNCT
ejpam-6632	75	14	p	p	NOUN
ejpam-6632	75	15	2	2	NUM
ejpam-6632	75	16	1	1	NUM
ejpam-6632	75	17	q0	q0	NOUN
ejpam-6632	75	18	−	−	PROPN
ejpam-6632	75	19	2µp	2µp	ADJ
ejpam-6632	75	20	2	2	NUM
ejpam-6632	75	21	1	1	NUM
ejpam-6632	75	22	q0	q0	NOUN
ejpam-6632	75	23	(	(	PUNCT
ejpam-6632	75	24	1	1	NUM
ejpam-6632	75	25	+	+	NUM
ejpam-6632	75	26	α)2	α)2	NOUN
ejpam-6632	75	27	)	)	PUNCT
ejpam-6632	75	28	ψ2	ψ2	VERB
ejpam-6632	75	29	1	1	NUM
ejpam-6632	75	30	]	]	PUNCT
ejpam-6632	75	31	,	,	PUNCT
ejpam-6632	75	32	(	(	PUNCT
ejpam-6632	75	33	2.9	2.9	NUM
ejpam-6632	75	34	)	)	PUNCT
ejpam-6632	75	35	|a3	|a3	NOUN
ejpam-6632	75	36	−	−	ADP
ejpam-6632	75	37	µa22|	µa22|	ADJ
ejpam-6632	75	38	≤	≤	NUM
ejpam-6632	75	39	1	1	NUM
ejpam-6632	75	40	2	2	NUM
ejpam-6632	75	41	+	+	NUM
ejpam-6632	75	42	α	α	NOUN
ejpam-6632	75	43	[	[	PUNCT
ejpam-6632	75	44	|p1q1ψ1|+	|p1q1ψ1|+	NOUN
ejpam-6632	75	45	∣∣∣∣p1q0	∣∣∣∣p1q0	PROPN
ejpam-6632	75	46	(	(	PUNCT
ejpam-6632	75	47	ψ2	ψ2	NOUN
ejpam-6632	75	48	−	−	PROPN
ejpam-6632	75	49	2µp1q0	2µp1q0	NUM
ejpam-6632	75	50	(	(	PUNCT
ejpam-6632	75	51	1	1	NUM
ejpam-6632	75	52	+	+	NUM
ejpam-6632	75	53	α)2	α)2	NOUN
ejpam-6632	75	54	−	−	NOUN
ejpam-6632	75	55	(	(	PUNCT
ejpam-6632	75	56	1−	1−	NUM
ejpam-6632	75	57	α	α	NOUN
ejpam-6632	75	58	)	)	PUNCT
ejpam-6632	75	59	(	(	PUNCT
ejpam-6632	75	60	1	1	NUM
ejpam-6632	75	61	+	+	NUM
ejpam-6632	75	62	α	α	X
ejpam-6632	75	63	)	)	PUNCT
ejpam-6632	76	1	p1q0	p1q0	PROPN
ejpam-6632	76	2	+	+	CCONJ
ejpam-6632	76	3	α	α	NOUN
ejpam-6632	76	4	2	2	NUM
ejpam-6632	76	5	ψ1	ψ1	NOUN
ejpam-6632	76	6	q0	q0	VERB
ejpam-6632	76	7	−	−	PROPN
ejpam-6632	76	8	p2	p2	PROPN
ejpam-6632	76	9	p1	p1	NOUN
ejpam-6632	76	10	)	)	PUNCT
ejpam-6632	76	11	ψ2	ψ2	VERB
ejpam-6632	76	12	1	1	NUM
ejpam-6632	76	13	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6632	76	14	]	]	PUNCT
ejpam-6632	76	15	.	.	PUNCT
ejpam-6632	77	1	(	(	PUNCT
ejpam-6632	77	2	2.10	2.10	NUM
ejpam-6632	77	3	)	)	PUNCT
ejpam-6632	77	4	again	again	ADV
ejpam-6632	77	5	applying	apply	VERB
ejpam-6632	77	6	|qn|	|qn|	NOUN
ejpam-6632	77	7	≤	≤	NOUN
ejpam-6632	77	8	1	1	NUM
ejpam-6632	77	9	and	and	CCONJ
ejpam-6632	77	10	|ψ1|	|ψ1|	VERB
ejpam-6632	77	11	≤	≤	NUM
ejpam-6632	77	12	1	1	NUM
ejpam-6632	77	13	,	,	PUNCT
ejpam-6632	77	14	we	we	PRON
ejpam-6632	77	15	have	have	VERB
ejpam-6632	77	16	|a3	|a3	NOUN
ejpam-6632	77	17	−	−	ADP
ejpam-6632	77	18	µa22|	µa22|	ADJ
ejpam-6632	77	19	≤	≤	ADJ
ejpam-6632	77	20	p1	p1	NOUN
ejpam-6632	77	21	2	2	NUM
ejpam-6632	77	22	+	+	CCONJ
ejpam-6632	77	23	α	α	PROPN
ejpam-6632	77	24	(	(	PUNCT
ejpam-6632	77	25	1	1	NUM
ejpam-6632	77	26	+	+	CCONJ
ejpam-6632	78	1	∣∣∣∣ψ2	∣∣∣∣ψ2	ADJ
ejpam-6632	78	2	−	−	PROPN
ejpam-6632	78	3	(	(	PUNCT
ejpam-6632	78	4	(	(	PUNCT
ejpam-6632	78	5	−1−	−1−	NOUN
ejpam-6632	78	6	α	α	NOUN
ejpam-6632	78	7	1	1	NUM
ejpam-6632	78	8	+	+	NUM
ejpam-6632	78	9	α	α	PROPN
ejpam-6632	78	10	−	−	NOUN
ejpam-6632	78	11	2µ	2µ	NUM
ejpam-6632	78	12	(	(	PUNCT
ejpam-6632	78	13	1	1	NUM
ejpam-6632	78	14	+	+	NUM
ejpam-6632	78	15	α)2	α)2	NOUN
ejpam-6632	78	16	)	)	PUNCT
ejpam-6632	79	1	p1q0	p1q0	X
ejpam-6632	79	2	+	+	CCONJ
ejpam-6632	79	3	α	α	NOUN
ejpam-6632	79	4	2	2	NUM
ejpam-6632	79	5	−	−	NOUN
ejpam-6632	79	6	p2	p2	PROPN
ejpam-6632	79	7	p1	p1	NOUN
ejpam-6632	79	8	)	)	PUNCT
ejpam-6632	79	9	ψ2	ψ2	VERB
ejpam-6632	79	10	1	1	NUM
ejpam-6632	79	11	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6632	79	12	)	)	PUNCT
ejpam-6632	79	13	.	.	PUNCT
ejpam-6632	80	1	(	(	PUNCT
ejpam-6632	80	2	2.11	2.11	NUM
ejpam-6632	80	3	)	)	PUNCT
ejpam-6632	80	4	applying	apply	VERB
ejpam-6632	80	5	lemma	lemma	PROPN
ejpam-6632	80	6	1.11	1.11	NUM
ejpam-6632	80	7	we	we	PRON
ejpam-6632	80	8	obtain,∣∣∣∣ψ2	obtain,∣∣∣∣ψ2	ADV
ejpam-6632	80	9	−	−	X
ejpam-6632	80	10	(	(	PUNCT
ejpam-6632	80	11	(	(	PUNCT
ejpam-6632	80	12	−1−	−1−	NOUN
ejpam-6632	80	13	α	α	NOUN
ejpam-6632	80	14	1	1	NUM
ejpam-6632	80	15	+	+	NUM
ejpam-6632	80	16	α	α	PROPN
ejpam-6632	80	17	−	−	NOUN
ejpam-6632	80	18	2µ	2µ	NUM
ejpam-6632	80	19	(	(	PUNCT
ejpam-6632	80	20	1	1	NUM
ejpam-6632	80	21	+	+	NUM
ejpam-6632	80	22	α)2	α)2	NOUN
ejpam-6632	80	23	)	)	PUNCT
ejpam-6632	81	1	p1q0	p1q0	X
ejpam-6632	81	2	+	+	CCONJ
ejpam-6632	81	3	α	α	NOUN
ejpam-6632	81	4	2	2	NUM
ejpam-6632	81	5	−	−	NOUN
ejpam-6632	81	6	p2	p2	PROPN
ejpam-6632	81	7	p1	p1	NOUN
ejpam-6632	81	8	)	)	PUNCT
ejpam-6632	81	9	ψ2	ψ2	VERB
ejpam-6632	81	10	1	1	NUM
ejpam-6632	81	11	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6632	81	12	(	(	PUNCT
ejpam-6632	81	13	2.12	2.12	NUM
ejpam-6632	81	14	)	)	PUNCT
ejpam-6632	81	15	|a3	|a3	NOUN
ejpam-6632	81	16	−	−	ADP
ejpam-6632	81	17	µa22|	µa22|	ADJ
ejpam-6632	81	18	≤	≤	ADJ
ejpam-6632	81	19	p1	p1	NOUN
ejpam-6632	81	20	2	2	NUM
ejpam-6632	82	1	+	+	CCONJ
ejpam-6632	82	2	α	α	PROPN
ejpam-6632	82	3	(	(	PUNCT
ejpam-6632	82	4	1	1	NUM
ejpam-6632	82	5	+	+	CCONJ
ejpam-6632	82	6	max	max	PROPN
ejpam-6632	82	7	{	{	PUNCT
ejpam-6632	82	8	1	1	NUM
ejpam-6632	82	9	,	,	PUNCT
ejpam-6632	82	10	1−	1−	NUM
ejpam-6632	82	11	(	(	PUNCT
ejpam-6632	82	12	1−	1−	NUM
ejpam-6632	82	13	α	α	NOUN
ejpam-6632	82	14	1	1	NUM
ejpam-6632	82	15	+	+	NUM
ejpam-6632	82	16	α	α	PROPN
ejpam-6632	82	17	−	−	NOUN
ejpam-6632	82	18	2µ	2µ	NUM
ejpam-6632	82	19	(	(	PUNCT
ejpam-6632	82	20	1	1	NUM
ejpam-6632	82	21	+	+	NUM
ejpam-6632	82	22	α)2	α)2	NOUN
ejpam-6632	82	23	)	)	PUNCT
ejpam-6632	83	1	p1q0	p1q0	X
ejpam-6632	83	2	+	+	CCONJ
ejpam-6632	83	3	α	α	NOUN
ejpam-6632	83	4	2	2	NUM
ejpam-6632	83	5	−	−	NOUN
ejpam-6632	83	6	p2	p2	PROPN
ejpam-6632	83	7	p1	p1	PROPN
ejpam-6632	83	8	}	}	PUNCT
ejpam-6632	83	9	)	)	PUNCT
ejpam-6632	83	10	(	(	PUNCT
ejpam-6632	83	11	2.13)∣∣∣∣−	2.13)∣∣∣∣−	X
ejpam-6632	83	12	(	(	PUNCT
ejpam-6632	83	13	1−	1−	NUM
ejpam-6632	83	14	α	α	NOUN
ejpam-6632	83	15	1	1	NUM
ejpam-6632	84	1	+	+	NUM
ejpam-6632	84	2	α	α	PROPN
ejpam-6632	84	3	−	−	NOUN
ejpam-6632	84	4	2µ	2µ	NUM
ejpam-6632	84	5	(	(	PUNCT
ejpam-6632	84	6	1	1	NUM
ejpam-6632	84	7	+	+	NUM
ejpam-6632	84	8	α)2	α)2	NOUN
ejpam-6632	84	9	)	)	PUNCT
ejpam-6632	85	1	p1q0	p1q0	X
ejpam-6632	85	2	+	+	CCONJ
ejpam-6632	85	3	α	α	NOUN
ejpam-6632	85	4	2	2	NUM
ejpam-6632	85	5	−	−	NOUN
ejpam-6632	85	6	p2	p2	PROPN
ejpam-6632	85	7	p1	p1	NOUN
ejpam-6632	85	8	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6632	85	9	≤	≤	NOUN
ejpam-6632	85	10	p1|q0|	p1|q0|	PUNCT
ejpam-6632	85	11	∣∣∣∣1−	∣∣∣∣1−	VERB
ejpam-6632	85	12	α	α	NOUN
ejpam-6632	85	13	1	1	NUM
ejpam-6632	85	14	+	+	NUM
ejpam-6632	85	15	α	α	PROPN
ejpam-6632	85	16	−	−	NOUN
ejpam-6632	85	17	2µ	2µ	NUM
ejpam-6632	85	18	(	(	PUNCT
ejpam-6632	85	19	1	1	NUM
ejpam-6632	85	20	+	+	NUM
ejpam-6632	85	21	α)2	α)2	NOUN
ejpam-6632	85	22	∣∣∣∣+	∣∣∣∣+	NOUN
ejpam-6632	85	23	∣∣∣α	∣∣∣α	PROPN
ejpam-6632	85	24	2	2	NUM
ejpam-6632	85	25	∣∣∣+	∣∣∣+	PROPN
ejpam-6632	85	26	∣∣∣∣p2	∣∣∣∣p2	PROPN
ejpam-6632	85	27	p1	p1	PROPN
ejpam-6632	85	28	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6632	85	29	(	(	PUNCT
ejpam-6632	85	30	2.14	2.14	NUM
ejpam-6632	85	31	)	)	PUNCT
ejpam-6632	85	32	and	and	CCONJ
ejpam-6632	85	33	hence	hence	ADV
ejpam-6632	85	34	we	we	PRON
ejpam-6632	85	35	conclude	conclude	VERB
ejpam-6632	85	36	that	that	DET
ejpam-6632	85	37	|a3	|a3	VERB
ejpam-6632	85	38	−	−	PROPN
ejpam-6632	85	39	µa22|	µa22|	ADJ
ejpam-6632	85	40	≤	≤	ADJ
ejpam-6632	85	41	p1	p1	NOUN
ejpam-6632	85	42	2	2	NUM
ejpam-6632	85	43	(	(	PUNCT
ejpam-6632	85	44	1	1	NUM
ejpam-6632	85	45	+	+	CCONJ
ejpam-6632	85	46	max	max	PROPN
ejpam-6632	85	47	{	{	PUNCT
ejpam-6632	85	48	1	1	NUM
ejpam-6632	85	49	,	,	PUNCT
ejpam-6632	85	50	p1	p1	PROPN
ejpam-6632	85	51	∣∣∣∣1−	∣∣∣∣1−	NUM
ejpam-6632	85	52	α	α	NOUN
ejpam-6632	85	53	1	1	NUM
ejpam-6632	86	1	+	+	NUM
ejpam-6632	86	2	α	α	PROPN
ejpam-6632	86	3	−	−	NOUN
ejpam-6632	86	4	2µ	2µ	NUM
ejpam-6632	86	5	(	(	PUNCT
ejpam-6632	86	6	1	1	NUM
ejpam-6632	86	7	+	+	NUM
ejpam-6632	86	8	α)2	α)2	NOUN
ejpam-6632	86	9	∣∣∣∣+	∣∣∣∣+	NOUN
ejpam-6632	86	10	∣∣∣α	∣∣∣α	PROPN
ejpam-6632	86	11	2	2	NUM
ejpam-6632	86	12	∣∣∣+	∣∣∣+	PROPN
ejpam-6632	86	13	∣∣∣∣p2	∣∣∣∣p2	PROPN
ejpam-6632	86	14	p1	p1	PROPN
ejpam-6632	86	15	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6632	86	16	}	}	PUNCT
ejpam-6632	86	17	)	)	PUNCT
ejpam-6632	86	18	.	.	PUNCT
ejpam-6632	87	1	(	(	PUNCT
ejpam-6632	87	2	2.15	2.15	NUM
ejpam-6632	87	3	)	)	PUNCT
ejpam-6632	87	4	for	for	ADP
ejpam-6632	87	5	µ	µ	NOUN
ejpam-6632	87	6	=	=	SYM
ejpam-6632	87	7	0	0	NUM
ejpam-6632	87	8	,	,	PUNCT
ejpam-6632	87	9	the	the	DET
ejpam-6632	87	10	above	above	ADJ
ejpam-6632	87	11	equation	equation	NOUN
ejpam-6632	87	12	will	will	AUX
ejpam-6632	87	13	estimate	estimate	VERB
ejpam-6632	87	14	the	the	DET
ejpam-6632	87	15	value	value	NOUN
ejpam-6632	87	16	of	of	ADP
ejpam-6632	87	17	|a3|	|a3|	PROPN
ejpam-6632	87	18	.	.	PUNCT
ejpam-6632	88	1	theorem	theorem	VERB
ejpam-6632	88	2	2.2	2.2	NUM
ejpam-6632	88	3	if	if	SCONJ
ejpam-6632	88	4	h	h	NOUN
ejpam-6632	88	5	∈	∈	VERB
ejpam-6632	88	6	a	a	DET
ejpam-6632	88	7	satisfies	satisfie	NOUN
ejpam-6632	88	8	ζ1−αh′(ζ	ζ1−αh′(ζ	NOUN
ejpam-6632	88	9	)	)	PUNCT
ejpam-6632	89	1	[	[	X
ejpam-6632	89	2	h(ζ)]1−α	h(ζ)]1−α	VERB
ejpam-6632	89	3	−	−	ADP
ejpam-6632	89	4	1	1	NUM
ejpam-6632	89	5	<	<	X
ejpam-6632	89	6	<	<	X
ejpam-6632	89	7	δ(ζ)−	δ(ζ)−	PROPN
ejpam-6632	89	8	1	1	NUM
ejpam-6632	89	9	,	,	PUNCT
ejpam-6632	89	10	(	(	PUNCT
ejpam-6632	89	11	2.16	2.16	NUM
ejpam-6632	89	12	)	)	PUNCT
ejpam-6632	89	13	then	then	ADV
ejpam-6632	89	14	ψ(ζ	ψ(ζ	NOUN
ejpam-6632	89	15	)	)	PUNCT
ejpam-6632	89	16	=	=	SYM
ejpam-6632	89	17	ζ	ζ	NOUN
ejpam-6632	89	18	and	and	CCONJ
ejpam-6632	89	19	the	the	DET
ejpam-6632	89	20	following	follow	VERB
ejpam-6632	89	21	inequality	inequality	NOUN
ejpam-6632	89	22	hold	hold	VERB
ejpam-6632	89	23	|a2|	|a2|	NOUN
ejpam-6632	89	24	≤	≤	ADJ
ejpam-6632	89	25	p1	p1	NOUN
ejpam-6632	89	26	1	1	NUM
ejpam-6632	89	27	+	+	CCONJ
ejpam-6632	89	28	α	α	NOUN
ejpam-6632	89	29	,	,	PUNCT
ejpam-6632	89	30	(	(	PUNCT
ejpam-6632	89	31	2.17	2.17	NUM
ejpam-6632	89	32	)	)	PUNCT
ejpam-6632	89	33	|a3|	|a3|	VERB
ejpam-6632	89	34	≤	≤	ADJ
ejpam-6632	89	35	1	1	NUM
ejpam-6632	89	36	2	2	NUM
ejpam-6632	89	37	+	+	NUM
ejpam-6632	89	38	α	α	PROPN
ejpam-6632	89	39	(	(	PUNCT
ejpam-6632	89	40	p1	p1	NOUN
ejpam-6632	89	41	+	+	CCONJ
ejpam-6632	89	42	p	p	NOUN
ejpam-6632	89	43	2	2	NUM
ejpam-6632	89	44	1	1	NUM
ejpam-6632	89	45	+	+	NUM
ejpam-6632	89	46	|p2|	|p2|	NOUN
ejpam-6632	89	47	)	)	PUNCT
ejpam-6632	89	48	.	.	PUNCT
ejpam-6632	90	1	(	(	PUNCT
ejpam-6632	90	2	2.18	2.18	NUM
ejpam-6632	90	3	)	)	PUNCT
ejpam-6632	90	4	additionally	additionally	ADV
ejpam-6632	90	5	,	,	PUNCT
ejpam-6632	90	6	for	for	ADP
ejpam-6632	90	7	every	every	DET
ejpam-6632	90	8	number	number	NOUN
ejpam-6632	90	9	that	that	PRON
ejpam-6632	90	10	is	be	AUX
ejpam-6632	90	11	complex	complex	ADJ
ejpam-6632	90	12	µ	µ	NOUN
ejpam-6632	90	13	,	,	PUNCT
ejpam-6632	90	14	|a3	|a3	NOUN
ejpam-6632	90	15	−	−	ADP
ejpam-6632	90	16	µa22|	µa22|	ADJ
ejpam-6632	90	17	≤	≤	ADV
ejpam-6632	90	18	1	1	NUM
ejpam-6632	90	19	(	(	PUNCT
ejpam-6632	90	20	2	2	NUM
ejpam-6632	90	21	+	+	NUM
ejpam-6632	90	22	α)(1	α)(1	NOUN
ejpam-6632	91	1	+	+	CCONJ
ejpam-6632	91	2	α)2	α)2	NOUN
ejpam-6632	91	3	[	[	PUNCT
ejpam-6632	91	4	(	(	PUNCT
ejpam-6632	91	5	1	1	NUM
ejpam-6632	91	6	+	+	NUM
ejpam-6632	91	7	α)2p1	α)2p1	NOUN
ejpam-6632	91	8	+	+	CCONJ
ejpam-6632	91	9	(	(	PUNCT
ejpam-6632	91	10	(	(	PUNCT
ejpam-6632	91	11	1	1	NUM
ejpam-6632	91	12	+	+	NUM
ejpam-6632	91	13	α)2	α)2	NOUN
ejpam-6632	91	14	−	−	NOUN
ejpam-6632	91	15	(	(	PUNCT
ejpam-6632	91	16	2	2	NUM
ejpam-6632	91	17	+	+	NUM
ejpam-6632	91	18	α)µ)p	α)µ)p	NOUN
ejpam-6632	91	19	2	2	NUM
ejpam-6632	91	20	1	1	NUM
ejpam-6632	91	21	+	+	CCONJ
ejpam-6632	91	22	(	(	PUNCT
ejpam-6632	91	23	1	1	NUM
ejpam-6632	91	24	+	+	NUM
ejpam-6632	91	25	α)2|p2|	α)2|p2|	PROPN
ejpam-6632	91	26	]	]	PUNCT
ejpam-6632	91	27	(	(	PUNCT
ejpam-6632	91	28	2.19	2.19	NUM
ejpam-6632	91	29	)	)	PUNCT
ejpam-6632	91	30	it	it	PRON
ejpam-6632	91	31	is	be	AUX
ejpam-6632	91	32	proved	prove	VERB
ejpam-6632	91	33	by	by	ADP
ejpam-6632	91	34	taking	take	VERB
ejpam-6632	91	35	ψ(ζ	ψ(ζ	NOUN
ejpam-6632	91	36	)	)	PUNCT
ejpam-6632	92	1	=	=	SYM
ejpam-6632	92	2	ζ	ζ	NOUN
ejpam-6632	92	3	from	from	ADP
ejpam-6632	92	4	theorem	theorem	ADJ
ejpam-6632	92	5	2.1	2.1	NUM
ejpam-6632	92	6	.	.	PUNCT
ejpam-6632	92	7	r.	r.	PROPN
ejpam-6632	92	8	kamali	kamali	PROPN
ejpam-6632	92	9	et	et	PROPN
ejpam-6632	92	10	al	al	PROPN
ejpam-6632	92	11	.	.	PUNCT
ejpam-6632	92	12	/	/	SYM
ejpam-6632	92	13	eur	eur	PROPN
ejpam-6632	92	14	.	.	PUNCT
ejpam-6632	93	1	j.	j.	PROPN
ejpam-6632	93	2	pure	pure	PROPN
ejpam-6632	93	3	appl	appl	PROPN
ejpam-6632	93	4	.	.	PROPN
ejpam-6632	93	5	math	math	PROPN
ejpam-6632	93	6	,	,	PUNCT
ejpam-6632	93	7	18	18	NUM
ejpam-6632	93	8	(	(	PUNCT
ejpam-6632	93	9	4	4	NUM
ejpam-6632	93	10	)	)	PUNCT
ejpam-6632	93	11	(	(	PUNCT
ejpam-6632	93	12	2025	2025	NUM
ejpam-6632	93	13	)	)	PUNCT
ejpam-6632	93	14	,	,	PUNCT
ejpam-6632	93	15	6632	6632	NUM
ejpam-6632	93	16	5	5	NUM
ejpam-6632	93	17	of	of	ADP
ejpam-6632	93	18	19	19	NUM
ejpam-6632	93	19	3	3	NUM
ejpam-6632	93	20	.	.	PUNCT
ejpam-6632	94	1	literature	literature	PROPN
ejpam-6632	94	2	review	review	PROPN
ejpam-6632	94	3	3.1	3.1	NUM
ejpam-6632	94	4	.	.	PUNCT
ejpam-6632	95	1	classical	classical	ADJ
ejpam-6632	95	2	filter	filter	NOUN
ejpam-6632	95	3	-	-	PUNCT
ejpam-6632	95	4	based	base	VERB
ejpam-6632	95	5	methods	method	NOUN
ejpam-6632	95	6	edge	edge	NOUN
ejpam-6632	95	7	detection	detection	NOUN
ejpam-6632	95	8	has	have	AUX
ejpam-6632	95	9	long	long	ADV
ejpam-6632	95	10	been	be	AUX
ejpam-6632	95	11	recognized	recognize	VERB
ejpam-6632	95	12	as	as	ADP
ejpam-6632	95	13	a	a	DET
ejpam-6632	95	14	fundamental	fundamental	ADJ
ejpam-6632	95	15	step	step	NOUN
ejpam-6632	95	16	in	in	ADP
ejpam-6632	95	17	image	image	NOUN
ejpam-6632	95	18	analysis	analysis	NOUN
ejpam-6632	95	19	,	,	PUNCT
ejpam-6632	95	20	providing	provide	VERB
ejpam-6632	95	21	the	the	DET
ejpam-6632	95	22	structural	structural	ADJ
ejpam-6632	95	23	cues	cue	NOUN
ejpam-6632	95	24	necessary	necessary	ADJ
ejpam-6632	95	25	for	for	ADP
ejpam-6632	95	26	segmentation	segmentation	NOUN
ejpam-6632	95	27	,	,	PUNCT
ejpam-6632	95	28	recognition	recognition	NOUN
ejpam-6632	95	29	,	,	PUNCT
ejpam-6632	95	30	and	and	CCONJ
ejpam-6632	95	31	enhancement	enhancement	NOUN
ejpam-6632	95	32	.	.	PUNCT
ejpam-6632	96	1	classical	classical	ADJ
ejpam-6632	96	2	approaches	approach	NOUN
ejpam-6632	96	3	such	such	ADJ
ejpam-6632	96	4	as	as	ADP
ejpam-6632	96	5	sobel	sobel	NOUN
ejpam-6632	96	6	,	,	PUNCT
ejpam-6632	96	7	prewitt	prewitt	PROPN
ejpam-6632	96	8	,	,	PUNCT
ejpam-6632	96	9	laplacian	laplacian	NOUN
ejpam-6632	96	10	of	of	ADP
ejpam-6632	96	11	gaussian	gaussian	NOUN
ejpam-6632	96	12	,	,	PUNCT
ejpam-6632	96	13	and	and	CCONJ
ejpam-6632	96	14	canny	canny	ADJ
ejpam-6632	96	15	detectors	detector	NOUN
ejpam-6632	96	16	[	[	X
ejpam-6632	96	17	28	28	NUM
ejpam-6632	96	18	]	]	PUNCT
ejpam-6632	96	19	have	have	AUX
ejpam-6632	96	20	established	establish	VERB
ejpam-6632	96	21	themselves	themselves	PRON
ejpam-6632	96	22	as	as	ADP
ejpam-6632	96	23	computationally	computationally	ADV
ejpam-6632	96	24	efficient	efficient	ADJ
ejpam-6632	96	25	methods	method	NOUN
ejpam-6632	96	26	for	for	ADP
ejpam-6632	96	27	identifying	identify	VERB
ejpam-6632	96	28	intensity	intensity	NOUN
ejpam-6632	96	29	discontinuities	discontinuity	NOUN
ejpam-6632	96	30	and	and	CCONJ
ejpam-6632	96	31	object	object	VERB
ejpam-6632	96	32	boundaries	boundary	NOUN
ejpam-6632	96	33	.	.	PUNCT
ejpam-6632	97	1	these	these	DET
ejpam-6632	97	2	methods	method	NOUN
ejpam-6632	97	3	rely	rely	VERB
ejpam-6632	97	4	primarily	primarily	ADV
ejpam-6632	97	5	on	on	ADP
ejpam-6632	97	6	convolutional	convolutional	ADJ
ejpam-6632	97	7	masks	mask	NOUN
ejpam-6632	97	8	or	or	CCONJ
ejpam-6632	97	9	differential	differential	NOUN
ejpam-6632	97	10	operators	operator	NOUN
ejpam-6632	97	11	,	,	PUNCT
ejpam-6632	97	12	yielding	yield	VERB
ejpam-6632	97	13	satisfactory	satisfactory	ADJ
ejpam-6632	97	14	results	result	NOUN
ejpam-6632	97	15	for	for	ADP
ejpam-6632	97	16	well	well	ADV
ejpam-6632	97	17	-	-	PUNCT
ejpam-6632	97	18	contrasted	contrast	VERB
ejpam-6632	97	19	images	image	NOUN
ejpam-6632	97	20	but	but	CCONJ
ejpam-6632	97	21	often	often	ADV
ejpam-6632	97	22	suffering	suffer	VERB
ejpam-6632	97	23	from	from	ADP
ejpam-6632	97	24	sensitivity	sensitivity	NOUN
ejpam-6632	97	25	to	to	PART
ejpam-6632	97	26	noise	noise	NOUN
ejpam-6632	97	27	,	,	PUNCT
ejpam-6632	97	28	parameter	parameter	NOUN
ejpam-6632	97	29	dependency	dependency	NOUN
ejpam-6632	97	30	,	,	PUNCT
ejpam-6632	97	31	and	and	CCONJ
ejpam-6632	97	32	limited	limited	ADJ
ejpam-6632	97	33	adaptability	adaptability	NOUN
ejpam-6632	97	34	across	across	ADP
ejpam-6632	97	35	varying	vary	VERB
ejpam-6632	97	36	image	image	NOUN
ejpam-6632	97	37	contexts	contexts	NOUN
ejpam-6632	97	38	.	.	PUNCT
ejpam-6632	98	1	to	to	PART
ejpam-6632	98	2	address	address	VERB
ejpam-6632	98	3	these	these	DET
ejpam-6632	98	4	shortcomings	shortcoming	NOUN
ejpam-6632	98	5	,	,	PUNCT
ejpam-6632	98	6	multi	multi	ADJ
ejpam-6632	98	7	-	-	ADJ
ejpam-6632	98	8	scale	scale	ADJ
ejpam-6632	98	9	approaches	approach	NOUN
ejpam-6632	98	10	,	,	PUNCT
ejpam-6632	98	11	notably	notably	ADV
ejpam-6632	98	12	gabor	gabor	NOUN
ejpam-6632	98	13	filters[29	filters[29	NOUN
ejpam-6632	98	14	]	]	PUNCT
ejpam-6632	98	15	,	,	PUNCT
ejpam-6632	98	16	have	have	AUX
ejpam-6632	98	17	been	be	AUX
ejpam-6632	98	18	employed	employ	VERB
ejpam-6632	98	19	to	to	PART
ejpam-6632	98	20	capture	capture	VERB
ejpam-6632	98	21	orientation	orientation	NOUN
ejpam-6632	98	22	and	and	CCONJ
ejpam-6632	98	23	frequency	frequency	NOUN
ejpam-6632	98	24	-	-	PUNCT
ejpam-6632	98	25	specific	specific	ADJ
ejpam-6632	98	26	information	information	NOUN
ejpam-6632	98	27	,	,	PUNCT
ejpam-6632	98	28	offering	offer	VERB
ejpam-6632	98	29	richer	rich	ADJ
ejpam-6632	98	30	texture	texture	ADJ
ejpam-6632	98	31	and	and	CCONJ
ejpam-6632	98	32	edge	edge	NOUN
ejpam-6632	98	33	representation	representation	NOUN
ejpam-6632	98	34	.	.	PUNCT
ejpam-6632	99	1	despite	despite	SCONJ
ejpam-6632	99	2	their	their	PRON
ejpam-6632	99	3	practical	practical	ADJ
ejpam-6632	99	4	effectiveness	effectiveness	NOUN
ejpam-6632	99	5	,	,	PUNCT
ejpam-6632	99	6	these	these	DET
ejpam-6632	99	7	filter	filter	NOUN
ejpam-6632	99	8	-	-	PUNCT
ejpam-6632	99	9	based	base	VERB
ejpam-6632	99	10	approaches	approach	NOUN
ejpam-6632	99	11	are	be	AUX
ejpam-6632	99	12	inherently	inherently	ADV
ejpam-6632	99	13	heuristic	heuristic	ADJ
ejpam-6632	99	14	:	:	PUNCT
ejpam-6632	99	15	the	the	DET
ejpam-6632	99	16	choice	choice	NOUN
ejpam-6632	99	17	of	of	ADP
ejpam-6632	99	18	parameters	parameter	NOUN
ejpam-6632	99	19	significantly	significantly	ADV
ejpam-6632	99	20	influences	influence	VERB
ejpam-6632	99	21	performance	performance	NOUN
ejpam-6632	99	22	,	,	PUNCT
ejpam-6632	99	23	and	and	CCONJ
ejpam-6632	99	24	they	they	PRON
ejpam-6632	99	25	do	do	AUX
ejpam-6632	99	26	not	not	PART
ejpam-6632	99	27	provide	provide	VERB
ejpam-6632	99	28	analytical	analytical	ADJ
ejpam-6632	99	29	guarantees	guarantee	NOUN
ejpam-6632	99	30	regarding	regard	VERB
ejpam-6632	99	31	distortion	distortion	NOUN
ejpam-6632	99	32	,	,	PUNCT
ejpam-6632	99	33	stability	stability	NOUN
ejpam-6632	99	34	,	,	PUNCT
ejpam-6632	99	35	or	or	CCONJ
ejpam-6632	99	36	edge	edge	NOUN
ejpam-6632	99	37	consistency	consistency	NOUN
ejpam-6632	99	38	.	.	PUNCT
ejpam-6632	100	1	3.2	3.2	NUM
ejpam-6632	100	2	.	.	PUNCT
ejpam-6632	100	3	pde	pde	NOUN
ejpam-6632	100	4	-	-	PUNCT
ejpam-6632	100	5	based	base	VERB
ejpam-6632	100	6	approches	approche	NOUN
ejpam-6632	100	7	in	in	ADP
ejpam-6632	100	8	addition	addition	NOUN
ejpam-6632	100	9	to	to	ADP
ejpam-6632	100	10	filter	filter	NOUN
ejpam-6632	100	11	-	-	PUNCT
ejpam-6632	100	12	based	base	VERB
ejpam-6632	100	13	techniques	technique	NOUN
ejpam-6632	100	14	,	,	PUNCT
ejpam-6632	100	15	pde	pde	NOUN
ejpam-6632	100	16	models	model	NOUN
ejpam-6632	100	17	have	have	AUX
ejpam-6632	100	18	played	play	VERB
ejpam-6632	100	19	a	a	DET
ejpam-6632	100	20	central	central	ADJ
ejpam-6632	100	21	role	role	NOUN
ejpam-6632	100	22	in	in	ADP
ejpam-6632	100	23	edge	edge	NOUN
ejpam-6632	100	24	-	-	PUNCT
ejpam-6632	100	25	preserving	preserve	VERB
ejpam-6632	100	26	image	image	NOUN
ejpam-6632	100	27	analysis	analysis	NOUN
ejpam-6632	100	28	.	.	PUNCT
ejpam-6632	101	1	methods	method	NOUN
ejpam-6632	101	2	such	such	ADJ
ejpam-6632	101	3	as	as	ADP
ejpam-6632	101	4	anisotropic	anisotropic	NOUN
ejpam-6632	101	5	diffusion	diffusion	NOUN
ejpam-6632	101	6	[	[	X
ejpam-6632	101	7	30	30	NUM
ejpam-6632	101	8	]	]	PUNCT
ejpam-6632	101	9	,	,	PUNCT
ejpam-6632	101	10	variational	variational	ADJ
ejpam-6632	101	11	formulations	formulation	NOUN
ejpam-6632	101	12	[	[	X
ejpam-6632	101	13	31	31	NUM
ejpam-6632	101	14	]	]	PUNCT
ejpam-6632	101	15	,	,	PUNCT
ejpam-6632	101	16	and	and	CCONJ
ejpam-6632	101	17	total	total	ADJ
ejpam-6632	101	18	variation	variation	NOUN
ejpam-6632	101	19	minimization	minimization	NOUN
ejpam-6632	101	20	[	[	X
ejpam-6632	101	21	32	32	NUM
ejpam-6632	101	22	]	]	PUNCT
ejpam-6632	101	23	reformulate	reformulate	NOUN
ejpam-6632	101	24	edge	edge	NOUN
ejpam-6632	101	25	detection	detection	NOUN
ejpam-6632	101	26	and	and	CCONJ
ejpam-6632	101	27	enhancement	enhancement	NOUN
ejpam-6632	101	28	as	as	ADP
ejpam-6632	101	29	optimization	optimization	NOUN
ejpam-6632	101	30	or	or	CCONJ
ejpam-6632	101	31	diffusion	diffusion	NOUN
ejpam-6632	101	32	processes	process	NOUN
ejpam-6632	101	33	.	.	PUNCT
ejpam-6632	102	1	these	these	DET
ejpam-6632	102	2	approaches	approach	NOUN
ejpam-6632	102	3	are	be	AUX
ejpam-6632	102	4	more	more	ADV
ejpam-6632	102	5	mathematically	mathematically	ADV
ejpam-6632	102	6	grounded	ground	VERB
ejpam-6632	102	7	than	than	ADP
ejpam-6632	102	8	simple	simple	ADJ
ejpam-6632	102	9	convolutional	convolutional	ADJ
ejpam-6632	102	10	operators	operator	NOUN
ejpam-6632	102	11	and	and	CCONJ
ejpam-6632	102	12	can	can	AUX
ejpam-6632	102	13	effectively	effectively	ADV
ejpam-6632	102	14	suppress	suppress	VERB
ejpam-6632	102	15	noise	noise	NOUN
ejpam-6632	102	16	while	while	SCONJ
ejpam-6632	102	17	maintaining	maintain	VERB
ejpam-6632	102	18	important	important	ADJ
ejpam-6632	102	19	edge	edge	NOUN
ejpam-6632	102	20	structures	structure	NOUN
ejpam-6632	102	21	.	.	PUNCT
ejpam-6632	103	1	however	however	ADV
ejpam-6632	103	2	,	,	PUNCT
ejpam-6632	103	3	they	they	PRON
ejpam-6632	103	4	typically	typically	ADV
ejpam-6632	103	5	depend	depend	VERB
ejpam-6632	103	6	on	on	ADP
ejpam-6632	103	7	iterative	iterative	ADJ
ejpam-6632	103	8	numerical	numerical	ADJ
ejpam-6632	103	9	schemes	scheme	NOUN
ejpam-6632	103	10	,	,	PUNCT
ejpam-6632	103	11	which	which	PRON
ejpam-6632	103	12	increase	increase	VERB
ejpam-6632	103	13	computational	computational	ADJ
ejpam-6632	103	14	cost	cost	NOUN
ejpam-6632	103	15	and	and	CCONJ
ejpam-6632	103	16	require	require	VERB
ejpam-6632	103	17	careful	careful	ADJ
ejpam-6632	103	18	tuning	tuning	NOUN
ejpam-6632	103	19	of	of	ADP
ejpam-6632	103	20	parameters	parameter	NOUN
ejpam-6632	103	21	.	.	PUNCT
ejpam-6632	104	1	moreover	moreover	ADV
ejpam-6632	104	2	,	,	PUNCT
ejpam-6632	104	3	while	while	SCONJ
ejpam-6632	104	4	pde	pde	NOUN
ejpam-6632	104	5	models	model	NOUN
ejpam-6632	104	6	can	can	AUX
ejpam-6632	104	7	guide	guide	VERB
ejpam-6632	104	8	edge	edge	VERB
ejpam-6632	104	9	stability	stability	NOUN
ejpam-6632	104	10	through	through	ADP
ejpam-6632	104	11	diffusion	diffusion	NOUN
ejpam-6632	104	12	control	control	NOUN
ejpam-6632	104	13	,	,	PUNCT
ejpam-6632	104	14	they	they	PRON
ejpam-6632	104	15	lack	lack	VERB
ejpam-6632	104	16	explicit	explicit	ADJ
ejpam-6632	104	17	analytic	analytic	ADJ
ejpam-6632	104	18	bounds	bound	NOUN
ejpam-6632	104	19	on	on	ADP
ejpam-6632	104	20	the	the	DET
ejpam-6632	104	21	extent	extent	NOUN
ejpam-6632	104	22	of	of	ADP
ejpam-6632	104	23	distortion	distortion	NOUN
ejpam-6632	104	24	or	or	CCONJ
ejpam-6632	104	25	intensity	intensity	NOUN
ejpam-6632	104	26	amplification	amplification	NOUN
ejpam-6632	104	27	.	.	PUNCT
ejpam-6632	105	1	by	by	ADP
ejpam-6632	105	2	contrast	contrast	NOUN
ejpam-6632	105	3	,	,	PUNCT
ejpam-6632	105	4	univalent	univalent	ADJ
ejpam-6632	105	5	function	function	NOUN
ejpam-6632	105	6	theory	theory	NOUN
ejpam-6632	105	7	provides	provide	VERB
ejpam-6632	105	8	closed	closed	ADJ
ejpam-6632	105	9	-	-	PUNCT
ejpam-6632	105	10	form	form	NOUN
ejpam-6632	105	11	inequalities	inequality	NOUN
ejpam-6632	105	12	that	that	PRON
ejpam-6632	105	13	impose	impose	VERB
ejpam-6632	105	14	strict	strict	ADJ
ejpam-6632	105	15	limits	limit	NOUN
ejpam-6632	105	16	on	on	ADP
ejpam-6632	105	17	enhancement	enhancement	NOUN
ejpam-6632	105	18	,	,	PUNCT
ejpam-6632	105	19	ensuring	ensure	VERB
ejpam-6632	105	20	mathematically	mathematically	ADV
ejpam-6632	105	21	guaranteed	guarantee	VERB
ejpam-6632	105	22	stability	stability	NOUN
ejpam-6632	105	23	and	and	CCONJ
ejpam-6632	105	24	interpretability	interpretability	NOUN
ejpam-6632	105	25	-	-	PUNCT
ejpam-6632	105	26	advantages	advantage	NOUN
ejpam-6632	105	27	that	that	PRON
ejpam-6632	105	28	pde	pde	NOUN
ejpam-6632	105	29	-	-	PUNCT
ejpam-6632	105	30	based	base	VERB
ejpam-6632	105	31	methods	method	NOUN
ejpam-6632	105	32	can	can	AUX
ejpam-6632	105	33	not	not	PART
ejpam-6632	105	34	inherently	inherently	ADV
ejpam-6632	105	35	offer	offer	VERB
ejpam-6632	105	36	.	.	PUNCT
ejpam-6632	106	1	3.3	3.3	NUM
ejpam-6632	106	2	.	.	PUNCT
ejpam-6632	106	3	machine	machine	NOUN
ejpam-6632	106	4	learning	learning	NOUN
ejpam-6632	106	5	and	and	CCONJ
ejpam-6632	106	6	deep	deep	ADJ
ejpam-6632	106	7	learning	learning	NOUN
ejpam-6632	106	8	methods	method	NOUN
ejpam-6632	106	9	more	more	ADV
ejpam-6632	106	10	recently	recently	ADV
ejpam-6632	106	11	,	,	PUNCT
ejpam-6632	106	12	machine	machine	NOUN
ejpam-6632	106	13	learning	learning	NOUN
ejpam-6632	106	14	and	and	CCONJ
ejpam-6632	106	15	deep	deep	ADJ
ejpam-6632	106	16	learning	learning	NOUN
ejpam-6632	106	17	methods	method	NOUN
ejpam-6632	106	18	have	have	AUX
ejpam-6632	106	19	advanced	advance	VERB
ejpam-6632	106	20	the	the	DET
ejpam-6632	106	21	state	state	NOUN
ejpam-6632	106	22	of	of	ADP
ejpam-6632	106	23	the	the	DET
ejpam-6632	106	24	art	art	NOUN
ejpam-6632	106	25	in	in	ADP
ejpam-6632	106	26	edge	edge	NOUN
ejpam-6632	106	27	detection	detection	NOUN
ejpam-6632	106	28	.	.	PUNCT
ejpam-6632	107	1	architectures	architecture	NOUN
ejpam-6632	107	2	such	such	ADJ
ejpam-6632	107	3	as	as	ADP
ejpam-6632	107	4	holistically	holistically	ADV
ejpam-6632	107	5	-	-	PUNCT
ejpam-6632	107	6	nested	nest	VERB
ejpam-6632	107	7	edge	edge	NOUN
ejpam-6632	107	8	detection	detection	NOUN
ejpam-6632	107	9	(	(	PUNCT
ejpam-6632	107	10	he	he	PRON
ejpam-6632	107	11	d	d	VERB
ejpam-6632	107	12	)	)	PUNCT
ejpam-6632	108	1	[	[	X
ejpam-6632	108	2	33	33	NUM
ejpam-6632	108	3	]	]	PUNCT
ejpam-6632	108	4	and	and	CCONJ
ejpam-6632	108	5	subsequent	subsequent	ADJ
ejpam-6632	108	6	convolutional	convolutional	ADJ
ejpam-6632	108	7	or	or	CCONJ
ejpam-6632	108	8	transformer	transformer	NOUN
ejpam-6632	108	9	-	-	PUNCT
ejpam-6632	108	10	based	base	VERB
ejpam-6632	108	11	networks	network	NOUN
ejpam-6632	108	12	[	[	X
ejpam-6632	108	13	34	34	NUM
ejpam-6632	108	14	]	]	PUNCT
ejpam-6632	108	15	demonstrate	demonstrate	VERB
ejpam-6632	108	16	remarkable	remarkable	ADJ
ejpam-6632	108	17	accuracy	accuracy	NOUN
ejpam-6632	108	18	by	by	ADP
ejpam-6632	108	19	learning	learn	VERB
ejpam-6632	108	20	hierarchical	hierarchical	ADJ
ejpam-6632	108	21	edge	edge	NOUN
ejpam-6632	108	22	features	feature	NOUN
ejpam-6632	108	23	directly	directly	ADV
ejpam-6632	108	24	from	from	ADP
ejpam-6632	108	25	large	large	ADJ
ejpam-6632	108	26	annotated	annotated	ADJ
ejpam-6632	108	27	datasets	dataset	NOUN
ejpam-6632	108	28	.	.	PUNCT
ejpam-6632	109	1	these	these	DET
ejpam-6632	109	2	methods	method	NOUN
ejpam-6632	109	3	can	can	AUX
ejpam-6632	109	4	outperform	outperform	VERB
ejpam-6632	109	5	traditional	traditional	ADJ
ejpam-6632	109	6	detectors	detector	NOUN
ejpam-6632	109	7	in	in	ADP
ejpam-6632	109	8	robustness	robustness	NOUN
ejpam-6632	109	9	and	and	CCONJ
ejpam-6632	109	10	precision	precision	NOUN
ejpam-6632	109	11	;	;	PUNCT
ejpam-6632	109	12	however	however	ADV
ejpam-6632	109	13	,	,	PUNCT
ejpam-6632	109	14	they	they	PRON
ejpam-6632	109	15	come	come	VERB
ejpam-6632	109	16	with	with	ADP
ejpam-6632	109	17	notable	notable	ADJ
ejpam-6632	109	18	limitations	limitation	NOUN
ejpam-6632	109	19	.	.	PUNCT
ejpam-6632	110	1	they	they	PRON
ejpam-6632	110	2	require	require	VERB
ejpam-6632	110	3	extensive	extensive	ADJ
ejpam-6632	110	4	labeled	label	VERB
ejpam-6632	110	5	datasets	dataset	NOUN
ejpam-6632	110	6	for	for	ADP
ejpam-6632	110	7	training	training	NOUN
ejpam-6632	110	8	,	,	PUNCT
ejpam-6632	110	9	substantial	substantial	ADJ
ejpam-6632	110	10	computational	computational	ADJ
ejpam-6632	110	11	resources	resource	NOUN
ejpam-6632	110	12	,	,	PUNCT
ejpam-6632	110	13	and	and	CCONJ
ejpam-6632	110	14	their	their	PRON
ejpam-6632	110	15	decision	decision	NOUN
ejpam-6632	110	16	-	-	PUNCT
ejpam-6632	110	17	making	making	NOUN
ejpam-6632	110	18	remains	remain	VERB
ejpam-6632	110	19	largely	largely	ADV
ejpam-6632	110	20	opaque	opaque	ADJ
ejpam-6632	110	21	.	.	PUNCT
ejpam-6632	111	1	furthermore	furthermore	ADV
ejpam-6632	111	2	,	,	PUNCT
ejpam-6632	111	3	the	the	DET
ejpam-6632	111	4	generalization	generalization	NOUN
ejpam-6632	111	5	of	of	ADP
ejpam-6632	111	6	such	such	ADJ
ejpam-6632	111	7	models	model	NOUN
ejpam-6632	111	8	to	to	ADP
ejpam-6632	111	9	domains	domain	NOUN
ejpam-6632	111	10	outside	outside	ADP
ejpam-6632	111	11	their	their	PRON
ejpam-6632	111	12	training	training	NOUN
ejpam-6632	111	13	distribution	distribution	NOUN
ejpam-6632	111	14	is	be	AUX
ejpam-6632	111	15	not	not	PART
ejpam-6632	111	16	always	always	ADV
ejpam-6632	111	17	guaranteed	guarantee	VERB
ejpam-6632	111	18	,	,	PUNCT
ejpam-6632	111	19	raising	raise	VERB
ejpam-6632	111	20	concerns	concern	NOUN
ejpam-6632	111	21	about	about	ADP
ejpam-6632	111	22	interpretability	interpretability	NOUN
ejpam-6632	111	23	and	and	CCONJ
ejpam-6632	111	24	reproducibility	reproducibility	NOUN
ejpam-6632	111	25	in	in	ADP
ejpam-6632	111	26	critical	critical	ADJ
ejpam-6632	111	27	applications	application	NOUN
ejpam-6632	111	28	such	such	ADJ
ejpam-6632	111	29	as	as	ADP
ejpam-6632	111	30	medical	medical	ADJ
ejpam-6632	111	31	or	or	CCONJ
ejpam-6632	111	32	scientific	scientific	ADJ
ejpam-6632	111	33	imaging	imaging	NOUN
ejpam-6632	111	34	.	.	PUNCT
ejpam-6632	112	1	3.4	3.4	NUM
ejpam-6632	112	2	.	.	PUNCT
ejpam-6632	112	3	univalent	univalent	ADJ
ejpam-6632	112	4	function	function	NOUN
ejpam-6632	112	5	theory	theory	NOUN
ejpam-6632	112	6	for	for	ADP
ejpam-6632	112	7	edge	edge	NOUN
ejpam-6632	112	8	detection	detection	NOUN
ejpam-6632	112	9	in	in	ADP
ejpam-6632	112	10	contrast	contrast	NOUN
ejpam-6632	112	11	,	,	PUNCT
ejpam-6632	112	12	geometric	geometric	ADJ
ejpam-6632	112	13	function	function	NOUN
ejpam-6632	112	14	theory	theory	NOUN
ejpam-6632	112	15	,	,	PUNCT
ejpam-6632	112	16	and	and	CCONJ
ejpam-6632	112	17	in	in	ADP
ejpam-6632	112	18	particular	particular	ADJ
ejpam-6632	112	19	the	the	DET
ejpam-6632	112	20	study	study	NOUN
ejpam-6632	112	21	of	of	ADP
ejpam-6632	112	22	univalent	univalent	ADJ
ejpam-6632	112	23	functions	function	NOUN
ejpam-6632	112	24	,	,	PUNCT
ejpam-6632	112	25	has	have	AUX
ejpam-6632	112	26	offered	offer	VERB
ejpam-6632	112	27	an	an	DET
ejpam-6632	112	28	alternative	alternative	ADJ
ejpam-6632	112	29	mathematical	mathematical	ADJ
ejpam-6632	112	30	framework	framework	NOUN
ejpam-6632	112	31	that	that	PRON
ejpam-6632	112	32	has	have	AUX
ejpam-6632	112	33	recently	recently	ADV
ejpam-6632	112	34	found	find	VERB
ejpam-6632	112	35	relevance	relevance	NOUN
ejpam-6632	112	36	in	in	ADP
ejpam-6632	112	37	imaging	imaging	NOUN
ejpam-6632	112	38	tasks	task	NOUN
ejpam-6632	112	39	.	.	PUNCT
ejpam-6632	113	1	univalent	univalent	ADJ
ejpam-6632	113	2	functions	function	NOUN
ejpam-6632	113	3	are	be	AUX
ejpam-6632	113	4	analytic	analytic	ADJ
ejpam-6632	113	5	and	and	CCONJ
ejpam-6632	113	6	injective	injective	ADJ
ejpam-6632	113	7	mappings	mapping	NOUN
ejpam-6632	113	8	with	with	ADP
ejpam-6632	113	9	well	well	ADV
ejpam-6632	113	10	-	-	PUNCT
ejpam-6632	113	11	studied	study	VERB
ejpam-6632	113	12	subclasses	subclass	NOUN
ejpam-6632	113	13	(	(	PUNCT
ejpam-6632	113	14	e.g.	e.g.	ADV
ejpam-6632	113	15	,	,	PUNCT
ejpam-6632	113	16	starlike	starlike	NOUN
ejpam-6632	113	17	,	,	PUNCT
ejpam-6632	113	18	convex	convex	NOUN
ejpam-6632	113	19	,	,	PUNCT
ejpam-6632	113	20	close	close	NOUN
ejpam-6632	113	21	-	-	PUNCT
ejpam-6632	113	22	to	to	ADP
ejpam-6632	113	23	-	-	PUNCT
ejpam-6632	113	24	convex	convex	NOUN
ejpam-6632	113	25	)	)	PUNCT
ejpam-6632	113	26	,	,	PUNCT
ejpam-6632	113	27	and	and	CCONJ
ejpam-6632	113	28	their	their	PRON
ejpam-6632	113	29	coefficients	coefficient	NOUN
ejpam-6632	113	30	are	be	AUX
ejpam-6632	113	31	constrained	constrain	VERB
ejpam-6632	113	32	by	by	ADP
ejpam-6632	113	33	sharp	sharp	ADJ
ejpam-6632	113	34	inequalities	inequality	NOUN
ejpam-6632	113	35	[	[	X
ejpam-6632	113	36	7	7	NUM
ejpam-6632	113	37	,	,	PUNCT
ejpam-6632	113	38	35–37	35–37	NOUN
ejpam-6632	113	39	]	]	PUNCT
ejpam-6632	113	40	.	.	PUNCT
ejpam-6632	114	1	classical	classical	ADJ
ejpam-6632	114	2	results	result	NOUN
ejpam-6632	114	3	such	such	ADJ
ejpam-6632	114	4	as	as	ADP
ejpam-6632	114	5	:	:	PUNCT
ejpam-6632	114	6	r.	r.	PROPN
ejpam-6632	114	7	kamali	kamali	PROPN
ejpam-6632	114	8	et	et	PROPN
ejpam-6632	114	9	al	al	PROPN
ejpam-6632	114	10	.	.	PUNCT
ejpam-6632	114	11	/	/	SYM
ejpam-6632	114	12	eur	eur	PROPN
ejpam-6632	114	13	.	.	PUNCT
ejpam-6632	115	1	j.	j.	PROPN
ejpam-6632	115	2	pure	pure	PROPN
ejpam-6632	115	3	appl	appl	PROPN
ejpam-6632	115	4	.	.	PROPN
ejpam-6632	115	5	math	math	PROPN
ejpam-6632	115	6	,	,	PUNCT
ejpam-6632	115	7	18	18	NUM
ejpam-6632	115	8	(	(	PUNCT
ejpam-6632	115	9	4	4	NUM
ejpam-6632	115	10	)	)	PUNCT
ejpam-6632	115	11	(	(	PUNCT
ejpam-6632	115	12	2025	2025	NUM
ejpam-6632	115	13	)	)	PUNCT
ejpam-6632	115	14	,	,	PUNCT
ejpam-6632	115	15	6632	6632	NUM
ejpam-6632	115	16	6	6	NUM
ejpam-6632	115	17	of	of	ADP
ejpam-6632	115	18	19	19	NUM
ejpam-6632	115	19	•	•	NUM
ejpam-6632	115	20	fekete	fekete	PROPN
ejpam-6632	115	21	–	–	PUNCT
ejpam-6632	115	22	szegö	szegö	ADJ
ejpam-6632	115	23	functional	functional	ADJ
ejpam-6632	115	24	:	:	PUNCT
ejpam-6632	115	25	governs	govern	VERB
ejpam-6632	115	26	how	how	SCONJ
ejpam-6632	115	27	strongly	strongly	ADV
ejpam-6632	115	28	small	small	ADJ
ejpam-6632	115	29	gradients	gradient	NOUN
ejpam-6632	115	30	(	(	PUNCT
ejpam-6632	115	31	edges	edge	NOUN
ejpam-6632	115	32	)	)	PUNCT
ejpam-6632	115	33	can	can	AUX
ejpam-6632	115	34	be	be	AUX
ejpam-6632	115	35	amplified	amplify	VERB
ejpam-6632	115	36	while	while	SCONJ
ejpam-6632	115	37	still	still	ADV
ejpam-6632	115	38	avoiding	avoid	VERB
ejpam-6632	115	39	artifacts	artifact	NOUN
ejpam-6632	115	40	such	such	ADJ
ejpam-6632	115	41	as	as	ADP
ejpam-6632	115	42	haloing	haloing	NOUN
ejpam-6632	115	43	or	or	CCONJ
ejpam-6632	115	44	oversharpening	oversharpene	VERB
ejpam-6632	115	45	[	[	X
ejpam-6632	115	46	38	38	NUM
ejpam-6632	115	47	,	,	PUNCT
ejpam-6632	115	48	39	39	NUM
ejpam-6632	115	49	]	]	PUNCT
ejpam-6632	115	50	.	.	PUNCT
ejpam-6632	116	1	•	•	NOUN
ejpam-6632	116	2	hankel	hankel	NOUN
ejpam-6632	116	3	determinant	determinant	ADJ
ejpam-6632	116	4	bounds	bound	NOUN
ejpam-6632	116	5	:	:	PUNCT
ejpam-6632	116	6	provide	provide	VERB
ejpam-6632	116	7	constraints	constraint	NOUN
ejpam-6632	116	8	on	on	ADP
ejpam-6632	116	9	higher	high	ADJ
ejpam-6632	116	10	-	-	PUNCT
ejpam-6632	116	11	order	order	NOUN
ejpam-6632	116	12	correlations	correlation	NOUN
ejpam-6632	116	13	,	,	PUNCT
ejpam-6632	116	14	ensuring	ensure	VERB
ejpam-6632	116	15	that	that	SCONJ
ejpam-6632	116	16	local	local	ADJ
ejpam-6632	116	17	enhancement	enhancement	NOUN
ejpam-6632	116	18	does	do	AUX
ejpam-6632	116	19	not	not	PART
ejpam-6632	116	20	destabilize	destabilize	VERB
ejpam-6632	116	21	the	the	DET
ejpam-6632	116	22	global	global	ADJ
ejpam-6632	116	23	image	image	NOUN
ejpam-6632	116	24	structure	structure	NOUN
ejpam-6632	117	1	[	[	X
ejpam-6632	117	2	40	40	NUM
ejpam-6632	117	3	]	]	PUNCT
ejpam-6632	117	4	.	.	PUNCT
ejpam-6632	118	1	•	•	NUM
ejpam-6632	118	2	distortion	distortion	NOUN
ejpam-6632	118	3	and	and	CCONJ
ejpam-6632	118	4	covering	covering	NOUN
ejpam-6632	118	5	theorems	theorem	NOUN
ejpam-6632	118	6	:	:	PUNCT
ejpam-6632	118	7	guarantee	guarantee	NOUN
ejpam-6632	118	8	that	that	SCONJ
ejpam-6632	118	9	edges	edge	NOUN
ejpam-6632	118	10	remain	remain	VERB
ejpam-6632	118	11	consistent	consistent	ADJ
ejpam-6632	118	12	and	and	CCONJ
ejpam-6632	118	13	geometrically	geometrically	ADV
ejpam-6632	118	14	faithful	faithful	ADJ
ejpam-6632	118	15	under	under	ADP
ejpam-6632	118	16	enhancement	enhancement	NOUN
ejpam-6632	118	17	,	,	PUNCT
ejpam-6632	118	18	avoiding	avoid	VERB
ejpam-6632	118	19	unintended	unintended	ADJ
ejpam-6632	118	20	deformation	deformation	NOUN
ejpam-6632	118	21	[	[	X
ejpam-6632	118	22	41	41	NUM
ejpam-6632	118	23	,	,	PUNCT
ejpam-6632	118	24	42	42	NUM
ejpam-6632	118	25	]	]	PUNCT
ejpam-6632	118	26	.	.	PUNCT
ejpam-6632	119	1	•	•	PROPN
ejpam-6632	119	2	coefficient	coefficient	NOUN
ejpam-6632	119	3	inequalities	inequality	NOUN
ejpam-6632	119	4	in	in	ADP
ejpam-6632	119	5	subclasses	subclass	NOUN
ejpam-6632	119	6	(	(	PUNCT
ejpam-6632	119	7	e.g.	e.g.	ADV
ejpam-6632	119	8	,	,	PUNCT
ejpam-6632	119	9	starlike	starlike	NOUN
ejpam-6632	119	10	,	,	PUNCT
ejpam-6632	119	11	convex	convex	NOUN
ejpam-6632	119	12	,	,	PUNCT
ejpam-6632	119	13	sakaguchi	sakaguchi	ADJ
ejpam-6632	119	14	-	-	PUNCT
ejpam-6632	119	15	type	type	NOUN
ejpam-6632	119	16	,	,	PUNCT
ejpam-6632	119	17	bounded	bound	VERB
ejpam-6632	119	18	boundary	boundary	ADJ
ejpam-6632	119	19	rotation	rotation	NOUN
ejpam-6632	119	20	):	):	PUNCT
ejpam-6632	119	21	provide	provide	VERB
ejpam-6632	119	22	closed	close	VERB
ejpam-6632	119	23	-	-	PUNCT
ejpam-6632	119	24	form	form	NOUN
ejpam-6632	119	25	conditions	condition	NOUN
ejpam-6632	119	26	that	that	PRON
ejpam-6632	119	27	map	map	VERB
ejpam-6632	119	28	directly	directly	ADV
ejpam-6632	119	29	to	to	ADP
ejpam-6632	119	30	bounded	bound	VERB
ejpam-6632	119	31	sharpening	sharpening	NOUN
ejpam-6632	119	32	,	,	PUNCT
ejpam-6632	119	33	contrast	contrast	NOUN
ejpam-6632	119	34	modulation	modulation	NOUN
ejpam-6632	119	35	,	,	PUNCT
ejpam-6632	119	36	and	and	CCONJ
ejpam-6632	119	37	controlled	control	VERB
ejpam-6632	119	38	intensity	intensity	NOUN
ejpam-6632	119	39	amplification	amplification	NOUN
ejpam-6632	120	1	[	[	X
ejpam-6632	120	2	43	43	NUM
ejpam-6632	120	3	,	,	PUNCT
ejpam-6632	120	4	44	44	NUM
ejpam-6632	120	5	]	]	PUNCT
ejpam-6632	120	6	.	.	PUNCT
ejpam-6632	121	1	these	these	DET
ejpam-6632	121	2	mathematical	mathematical	ADJ
ejpam-6632	121	3	properties	property	NOUN
ejpam-6632	121	4	translate	translate	VERB
ejpam-6632	121	5	directly	directly	ADV
ejpam-6632	121	6	into	into	ADP
ejpam-6632	121	7	edge	edge	NOUN
ejpam-6632	121	8	processing	processing	NOUN
ejpam-6632	121	9	:	:	PUNCT
ejpam-6632	121	10	luminance	luminance	NOUN
ejpam-6632	121	11	variations	variation	NOUN
ejpam-6632	121	12	can	can	AUX
ejpam-6632	121	13	be	be	AUX
ejpam-6632	121	14	modulated	modulate	VERB
ejpam-6632	121	15	deterministically	deterministically	ADV
ejpam-6632	121	16	,	,	PUNCT
ejpam-6632	121	17	contrast	contrast	NOUN
ejpam-6632	121	18	can	can	AUX
ejpam-6632	121	19	be	be	AUX
ejpam-6632	121	20	sharpened	sharpen	VERB
ejpam-6632	121	21	up	up	ADP
ejpam-6632	121	22	to	to	ADP
ejpam-6632	121	23	precise	precise	ADJ
ejpam-6632	121	24	analytic	analytic	ADJ
ejpam-6632	121	25	limits	limit	NOUN
ejpam-6632	121	26	,	,	PUNCT
ejpam-6632	121	27	and	and	CCONJ
ejpam-6632	121	28	structural	structural	ADJ
ejpam-6632	121	29	integrity	integrity	NOUN
ejpam-6632	121	30	of	of	ADP
ejpam-6632	121	31	contours	contours	NOUN
ejpam-6632	121	32	is	be	AUX
ejpam-6632	121	33	preserved	preserve	VERB
ejpam-6632	121	34	.	.	PUNCT
ejpam-6632	122	1	unlike	unlike	ADP
ejpam-6632	122	2	filters	filter	NOUN
ejpam-6632	122	3	or	or	CCONJ
ejpam-6632	122	4	pdes	pde	NOUN
ejpam-6632	122	5	,	,	PUNCT
ejpam-6632	122	6	which	which	PRON
ejpam-6632	122	7	offer	offer	VERB
ejpam-6632	122	8	no	no	DET
ejpam-6632	122	9	intrinsic	intrinsic	ADJ
ejpam-6632	122	10	control	control	NOUN
ejpam-6632	122	11	over	over	ADP
ejpam-6632	122	12	amplification	amplification	NOUN
ejpam-6632	122	13	,	,	PUNCT
ejpam-6632	122	14	univalent	univalent	ADJ
ejpam-6632	122	15	-	-	PUNCT
ejpam-6632	122	16	based	base	VERB
ejpam-6632	122	17	operators	operator	NOUN
ejpam-6632	122	18	are	be	AUX
ejpam-6632	122	19	governed	govern	VERB
ejpam-6632	122	20	by	by	ADP
ejpam-6632	122	21	inequalities	inequality	NOUN
ejpam-6632	122	22	that	that	PRON
ejpam-6632	122	23	explicitly	explicitly	ADV
ejpam-6632	122	24	bound	bind	VERB
ejpam-6632	122	25	the	the	DET
ejpam-6632	122	26	maximum	maximum	ADJ
ejpam-6632	122	27	possible	possible	ADJ
ejpam-6632	122	28	enhancement	enhancement	NOUN
ejpam-6632	122	29	.	.	PUNCT
ejpam-6632	123	1	3.5	3.5	NUM
ejpam-6632	123	2	.	.	PUNCT
ejpam-6632	123	3	advantages	advantage	NOUN
ejpam-6632	123	4	of	of	ADP
ejpam-6632	123	5	the	the	DET
ejpam-6632	123	6	function	function	NOUN
ejpam-6632	123	7	-	-	PUNCT
ejpam-6632	123	8	theoretic	theoretic	NOUN
ejpam-6632	123	9	approach	approach	NOUN
ejpam-6632	123	10	the	the	DET
ejpam-6632	123	11	distinct	distinct	ADJ
ejpam-6632	123	12	advantages	advantage	NOUN
ejpam-6632	123	13	of	of	ADP
ejpam-6632	123	14	this	this	DET
ejpam-6632	123	15	approach	approach	NOUN
ejpam-6632	123	16	are	be	AUX
ejpam-6632	123	17	threefold	threefold	ADV
ejpam-6632	123	18	:	:	PUNCT
ejpam-6632	123	19	•	•	NUM
ejpam-6632	123	20	bounded	bound	VERB
ejpam-6632	123	21	behavior	behavior	NOUN
ejpam-6632	123	22	–	–	PUNCT
ejpam-6632	123	23	operators	operator	NOUN
ejpam-6632	123	24	derived	derive	VERB
ejpam-6632	123	25	from	from	ADP
ejpam-6632	123	26	univalent	univalent	ADJ
ejpam-6632	123	27	function	function	NOUN
ejpam-6632	123	28	theory	theory	NOUN
ejpam-6632	123	29	have	have	AUX
ejpam-6632	123	30	mathematically	mathematically	ADV
ejpam-6632	123	31	guaranteed	guarantee	VERB
ejpam-6632	123	32	limits	limit	NOUN
ejpam-6632	123	33	,	,	PUNCT
ejpam-6632	123	34	preventing	prevent	VERB
ejpam-6632	123	35	instability	instability	NOUN
ejpam-6632	123	36	,	,	PUNCT
ejpam-6632	123	37	oversharpening	oversharpening	NOUN
ejpam-6632	123	38	,	,	PUNCT
ejpam-6632	123	39	or	or	CCONJ
ejpam-6632	123	40	artificial	artificial	ADJ
ejpam-6632	123	41	edge	edge	NOUN
ejpam-6632	123	42	generation	generation	NOUN
ejpam-6632	123	43	[	[	X
ejpam-6632	123	44	43	43	NUM
ejpam-6632	123	45	]	]	PUNCT
ejpam-6632	123	46	.	.	PUNCT
ejpam-6632	124	1	•	•	NUM
ejpam-6632	124	2	interpretability	interpretability	NOUN
ejpam-6632	124	3	–	–	PUNCT
ejpam-6632	124	4	enhancements	enhancement	NOUN
ejpam-6632	124	5	can	can	AUX
ejpam-6632	124	6	be	be	AUX
ejpam-6632	124	7	directly	directly	ADV
ejpam-6632	124	8	traced	trace	VERB
ejpam-6632	124	9	to	to	ADP
ejpam-6632	124	10	specific	specific	ADJ
ejpam-6632	124	11	analytic	analytic	ADJ
ejpam-6632	124	12	results	result	NOUN
ejpam-6632	124	13	(	(	PUNCT
ejpam-6632	124	14	e.g.	e.g.	ADV
ejpam-6632	124	15	,	,	PUNCT
ejpam-6632	124	16	a	a	DET
ejpam-6632	124	17	bound	bind	VERB
ejpam-6632	124	18	on	on	ADP
ejpam-6632	124	19	the	the	DET
ejpam-6632	124	20	fekete	fekete	PROPN
ejpam-6632	124	21	–	–	PUNCT
ejpam-6632	124	22	szegö	szegö	ADJ
ejpam-6632	124	23	functional	functional	ADJ
ejpam-6632	124	24	)	)	PUNCT
ejpam-6632	124	25	,	,	PUNCT
ejpam-6632	124	26	making	make	VERB
ejpam-6632	124	27	the	the	DET
ejpam-6632	124	28	process	process	NOUN
ejpam-6632	124	29	fully	fully	ADV
ejpam-6632	124	30	explainable	explainable	ADJ
ejpam-6632	124	31	in	in	ADP
ejpam-6632	124	32	contrast	contrast	NOUN
ejpam-6632	124	33	to	to	ADP
ejpam-6632	124	34	black	black	NOUN
ejpam-6632	124	35	-	-	PUNCT
ejpam-6632	124	36	box	box	NOUN
ejpam-6632	124	37	deep	deep	ADJ
ejpam-6632	124	38	networks	network	NOUN
ejpam-6632	124	39	[	[	X
ejpam-6632	124	40	44	44	NUM
ejpam-6632	124	41	]	]	PUNCT
ejpam-6632	124	42	.	.	PUNCT
ejpam-6632	125	1	•	•	NUM
ejpam-6632	125	2	efficiency	efficiency	NOUN
ejpam-6632	125	3	and	and	CCONJ
ejpam-6632	125	4	adaptability	adaptability	NOUN
ejpam-6632	125	5	–	–	PUNCT
ejpam-6632	125	6	these	these	DET
ejpam-6632	125	7	methods	method	NOUN
ejpam-6632	125	8	require	require	VERB
ejpam-6632	125	9	no	no	DET
ejpam-6632	125	10	training	training	NOUN
ejpam-6632	125	11	data	datum	NOUN
ejpam-6632	125	12	,	,	PUNCT
ejpam-6632	125	13	involve	involve	VERB
ejpam-6632	125	14	closedform	closedform	NOUN
ejpam-6632	125	15	expressions	expression	NOUN
ejpam-6632	125	16	rather	rather	ADV
ejpam-6632	125	17	than	than	ADP
ejpam-6632	125	18	iterative	iterative	ADJ
ejpam-6632	125	19	solvers	solver	NOUN
ejpam-6632	125	20	,	,	PUNCT
ejpam-6632	125	21	and	and	CCONJ
ejpam-6632	125	22	can	can	AUX
ejpam-6632	125	23	run	run	VERB
ejpam-6632	125	24	at	at	ADP
ejpam-6632	125	25	low	low	ADJ
ejpam-6632	125	26	computational	computational	ADJ
ejpam-6632	125	27	cost[43	cost[43	NOUN
ejpam-6632	125	28	]	]	PUNCT
ejpam-6632	125	29	.	.	PUNCT
ejpam-6632	126	1	in	in	ADP
ejpam-6632	126	2	practice	practice	NOUN
ejpam-6632	126	3	,	,	PUNCT
ejpam-6632	126	4	univalent	univalent	ADJ
ejpam-6632	126	5	-	-	PUNCT
ejpam-6632	126	6	function	function	NOUN
ejpam-6632	126	7	-	-	PUNCT
ejpam-6632	126	8	inspired	inspire	VERB
ejpam-6632	126	9	operators	operator	NOUN
ejpam-6632	126	10	can	can	AUX
ejpam-6632	126	11	emphasize	emphasize	VERB
ejpam-6632	126	12	fine	fine	ADJ
ejpam-6632	126	13	details	detail	NOUN
ejpam-6632	126	14	such	such	ADJ
ejpam-6632	126	15	as	as	ADP
ejpam-6632	126	16	texture	texture	ADJ
ejpam-6632	126	17	patterns	pattern	NOUN
ejpam-6632	126	18	and	and	CCONJ
ejpam-6632	126	19	shadow	shadow	NOUN
ejpam-6632	126	20	variations	variation	NOUN
ejpam-6632	126	21	that	that	SCONJ
ejpam-6632	126	22	conventional	conventional	ADJ
ejpam-6632	126	23	filters	filter	NOUN
ejpam-6632	126	24	or	or	CCONJ
ejpam-6632	126	25	pdes	pde	NOUN
ejpam-6632	126	26	may	may	AUX
ejpam-6632	126	27	suppress	suppress	VERB
ejpam-6632	126	28	,	,	PUNCT
ejpam-6632	126	29	while	while	SCONJ
ejpam-6632	126	30	preserving	preserve	VERB
ejpam-6632	126	31	global	global	ADJ
ejpam-6632	126	32	structural	structural	ADJ
ejpam-6632	126	33	consistency	consistency	NOUN
ejpam-6632	126	34	.	.	PUNCT
ejpam-6632	127	1	they	they	PRON
ejpam-6632	127	2	therefore	therefore	ADV
ejpam-6632	127	3	provide	provide	VERB
ejpam-6632	127	4	a	a	DET
ejpam-6632	127	5	valuable	valuable	ADJ
ejpam-6632	127	6	middle	middle	ADJ
ejpam-6632	127	7	ground	ground	NOUN
ejpam-6632	127	8	between	between	ADP
ejpam-6632	127	9	heuristic	heuristic	ADJ
ejpam-6632	127	10	filtering	filtering	NOUN
ejpam-6632	127	11	and	and	CCONJ
ejpam-6632	127	12	opaque	opaque	ADJ
ejpam-6632	127	13	machine	machine	NOUN
ejpam-6632	127	14	learning	learning	NOUN
ejpam-6632	127	15	:	:	PUNCT
ejpam-6632	127	16	lightweight	lightweight	ADJ
ejpam-6632	127	17	,	,	PUNCT
ejpam-6632	127	18	mathematically	mathematically	ADV
ejpam-6632	127	19	controlled	control	VERB
ejpam-6632	127	20	operators	operator	NOUN
ejpam-6632	127	21	with	with	ADP
ejpam-6632	127	22	deterministic	deterministic	ADJ
ejpam-6632	127	23	guarantees	guarantee	NOUN
ejpam-6632	127	24	.	.	PUNCT
ejpam-6632	128	1	3.6	3.6	NUM
ejpam-6632	128	2	.	.	PUNCT
ejpam-6632	128	3	limitations	limitation	NOUN
ejpam-6632	128	4	despite	despite	SCONJ
ejpam-6632	128	5	its	its	PRON
ejpam-6632	128	6	theoretical	theoretical	ADJ
ejpam-6632	128	7	strengths	strength	NOUN
ejpam-6632	128	8	,	,	PUNCT
ejpam-6632	128	9	the	the	DET
ejpam-6632	128	10	integration	integration	NOUN
ejpam-6632	128	11	of	of	ADP
ejpam-6632	128	12	univalent	univalent	ADJ
ejpam-6632	128	13	function	function	NOUN
ejpam-6632	128	14	results	result	NOUN
ejpam-6632	128	15	into	into	ADP
ejpam-6632	128	16	practical	practical	ADJ
ejpam-6632	128	17	imaging	imaging	NOUN
ejpam-6632	128	18	pipelines	pipeline	NOUN
ejpam-6632	128	19	remains	remain	VERB
ejpam-6632	128	20	relatively	relatively	ADV
ejpam-6632	128	21	nascent	nascent	ADJ
ejpam-6632	128	22	.	.	PUNCT
ejpam-6632	129	1	most	most	ADJ
ejpam-6632	129	2	reported	report	VERB
ejpam-6632	129	3	studies	study	NOUN
ejpam-6632	129	4	illustrate	illustrate	VERB
ejpam-6632	129	5	proof	proof	NOUN
ejpam-6632	129	6	-	-	PUNCT
ejpam-6632	129	7	of	of	ADP
ejpam-6632	129	8	-	-	PUNCT
ejpam-6632	129	9	concept	concept	NOUN
ejpam-6632	129	10	applications	application	NOUN
ejpam-6632	129	11	on	on	ADP
ejpam-6632	129	12	selected	select	VERB
ejpam-6632	129	13	images	image	NOUN
ejpam-6632	129	14	,	,	PUNCT
ejpam-6632	129	15	and	and	CCONJ
ejpam-6632	129	16	large	large	ADJ
ejpam-6632	129	17	-	-	PUNCT
ejpam-6632	129	18	scale	scale	NOUN
ejpam-6632	129	19	quantitative	quantitative	ADJ
ejpam-6632	129	20	validation	validation	NOUN
ejpam-6632	129	21	against	against	ADP
ejpam-6632	129	22	modern	modern	ADJ
ejpam-6632	129	23	benchmarks	benchmark	NOUN
ejpam-6632	129	24	is	be	AUX
ejpam-6632	129	25	still	still	ADV
ejpam-6632	129	26	lacking	lack	VERB
ejpam-6632	129	27	.	.	PUNCT
ejpam-6632	130	1	additionally	additionally	ADV
ejpam-6632	130	2	,	,	PUNCT
ejpam-6632	130	3	while	while	SCONJ
ejpam-6632	130	4	analytic	analytic	ADJ
ejpam-6632	130	5	guarantees	guarantee	NOUN
ejpam-6632	130	6	provide	provide	VERB
ejpam-6632	130	7	stability	stability	NOUN
ejpam-6632	130	8	,	,	PUNCT
ejpam-6632	130	9	they	they	PRON
ejpam-6632	130	10	do	do	AUX
ejpam-6632	130	11	not	not	PART
ejpam-6632	130	12	automatically	automatically	ADV
ejpam-6632	130	13	align	align	VERB
ejpam-6632	130	14	with	with	ADP
ejpam-6632	130	15	perceptual	perceptual	ADJ
ejpam-6632	130	16	quality	quality	NOUN
ejpam-6632	130	17	metrics	metric	NOUN
ejpam-6632	130	18	,	,	PUNCT
ejpam-6632	130	19	which	which	PRON
ejpam-6632	130	20	are	be	AUX
ejpam-6632	130	21	essential	essential	ADJ
ejpam-6632	130	22	in	in	ADP
ejpam-6632	130	23	imaging	imaging	NOUN
ejpam-6632	130	24	applications[45	applications[45	NOUN
ejpam-6632	130	25	]	]	PUNCT
ejpam-6632	130	26	.	.	PUNCT
ejpam-6632	131	1	these	these	DET
ejpam-6632	131	2	limitations	limitation	NOUN
ejpam-6632	131	3	suggest	suggest	VERB
ejpam-6632	131	4	that	that	SCONJ
ejpam-6632	131	5	univalent	univalent	ADJ
ejpam-6632	131	6	-	-	PUNCT
ejpam-6632	131	7	function	function	NOUN
ejpam-6632	131	8	-	-	PUNCT
ejpam-6632	131	9	inspired	inspire	VERB
ejpam-6632	131	10	approaches	approach	NOUN
ejpam-6632	131	11	should	should	AUX
ejpam-6632	131	12	not	not	PART
ejpam-6632	131	13	be	be	AUX
ejpam-6632	131	14	viewed	view	VERB
ejpam-6632	131	15	as	as	ADP
ejpam-6632	131	16	replacements	replacement	NOUN
ejpam-6632	131	17	for	for	ADP
ejpam-6632	131	18	established	establish	VERB
ejpam-6632	131	19	methods	method	NOUN
ejpam-6632	131	20	but	but	CCONJ
ejpam-6632	131	21	as	as	ADP
ejpam-6632	131	22	complementary	complementary	ADJ
ejpam-6632	131	23	tools	tool	NOUN
ejpam-6632	131	24	.	.	PUNCT
ejpam-6632	132	1	a	a	DET
ejpam-6632	132	2	promising	promising	ADJ
ejpam-6632	132	3	direction	direction	NOUN
ejpam-6632	132	4	is	be	AUX
ejpam-6632	132	5	the	the	DET
ejpam-6632	132	6	hybridization	hybridization	NOUN
ejpam-6632	132	7	of	of	ADP
ejpam-6632	132	8	univalent	univalent	ADJ
ejpam-6632	132	9	-	-	PUNCT
ejpam-6632	132	10	based	base	VERB
ejpam-6632	132	11	operators	operator	NOUN
ejpam-6632	132	12	with	with	ADP
ejpam-6632	132	13	machine	machine	NOUN
ejpam-6632	132	14	learning	learn	VERB
ejpam-6632	132	15	pipelines	pipeline	NOUN
ejpam-6632	132	16	,	,	PUNCT
ejpam-6632	132	17	where	where	SCONJ
ejpam-6632	132	18	mathematical	mathematical	ADJ
ejpam-6632	132	19	guarantees	guarantee	NOUN
ejpam-6632	132	20	can	can	AUX
ejpam-6632	132	21	act	act	VERB
ejpam-6632	132	22	as	as	ADP
ejpam-6632	132	23	regularizers	regularizer	NOUN
ejpam-6632	132	24	to	to	PART
ejpam-6632	132	25	prevent	prevent	VERB
ejpam-6632	132	26	over	over	ADP
ejpam-6632	132	27	-	-	PUNCT
ejpam-6632	132	28	amplification	amplification	NOUN
ejpam-6632	132	29	,	,	PUNCT
ejpam-6632	132	30	or	or	CCONJ
ejpam-6632	132	31	as	as	ADP
ejpam-6632	132	32	preprocessing	preprocesse	VERB
ejpam-6632	132	33	filters	filter	NOUN
ejpam-6632	132	34	that	that	PRON
ejpam-6632	132	35	stabilize	stabilize	VERB
ejpam-6632	132	36	input	input	NOUN
ejpam-6632	132	37	before	before	ADP
ejpam-6632	132	38	data	data	NOUN
ejpam-6632	132	39	-	-	PUNCT
ejpam-6632	132	40	driven	drive	VERB
ejpam-6632	132	41	refinement	refinement	NOUN
ejpam-6632	132	42	.	.	PUNCT
ejpam-6632	133	1	in	in	ADP
ejpam-6632	133	2	summary	summary	NOUN
ejpam-6632	133	3	,	,	PUNCT
ejpam-6632	133	4	while	while	SCONJ
ejpam-6632	133	5	filter	filter	NOUN
ejpam-6632	133	6	-	-	PUNCT
ejpam-6632	133	7	based	base	VERB
ejpam-6632	133	8	and	and	CCONJ
ejpam-6632	133	9	machine	machine	NOUN
ejpam-6632	133	10	learning	learning	NOUN
ejpam-6632	133	11	methods	method	NOUN
ejpam-6632	133	12	dominate	dominate	VERB
ejpam-6632	133	13	current	current	ADJ
ejpam-6632	133	14	practice	practice	NOUN
ejpam-6632	133	15	in	in	ADP
ejpam-6632	133	16	edge	edge	NOUN
ejpam-6632	133	17	detection	detection	NOUN
ejpam-6632	133	18	,	,	PUNCT
ejpam-6632	133	19	they	they	PRON
ejpam-6632	133	20	suffer	suffer	VERB
ejpam-6632	133	21	from	from	ADP
ejpam-6632	133	22	either	either	CCONJ
ejpam-6632	133	23	heuristic	heuristic	ADJ
ejpam-6632	133	24	dependence	dependence	NOUN
ejpam-6632	133	25	or	or	CCONJ
ejpam-6632	133	26	lack	lack	NOUN
ejpam-6632	133	27	of	of	ADP
ejpam-6632	133	28	interpretability	interpretability	NOUN
ejpam-6632	133	29	.	.	PUNCT
ejpam-6632	134	1	univalent	univalent	PROPN
ejpam-6632	134	2	r.	r.	PROPN
ejpam-6632	134	3	kamali	kamali	PROPN
ejpam-6632	134	4	et	et	PROPN
ejpam-6632	134	5	al	al	PROPN
ejpam-6632	134	6	.	.	PUNCT
ejpam-6632	134	7	/	/	SYM
ejpam-6632	134	8	eur	eur	PROPN
ejpam-6632	134	9	.	.	PUNCT
ejpam-6632	135	1	j.	j.	PROPN
ejpam-6632	135	2	pure	pure	PROPN
ejpam-6632	135	3	appl	appl	PROPN
ejpam-6632	135	4	.	.	PROPN
ejpam-6632	135	5	math	math	PROPN
ejpam-6632	135	6	,	,	PUNCT
ejpam-6632	135	7	18	18	NUM
ejpam-6632	135	8	(	(	PUNCT
ejpam-6632	135	9	4	4	NUM
ejpam-6632	135	10	)	)	PUNCT
ejpam-6632	135	11	(	(	PUNCT
ejpam-6632	135	12	2025	2025	NUM
ejpam-6632	135	13	)	)	PUNCT
ejpam-6632	135	14	,	,	PUNCT
ejpam-6632	135	15	6632	6632	NUM
ejpam-6632	135	16	7	7	NUM
ejpam-6632	135	17	of	of	ADP
ejpam-6632	135	18	19	19	NUM
ejpam-6632	135	19	function	function	NOUN
ejpam-6632	135	20	theory	theory	NOUN
ejpam-6632	135	21	introduces	introduce	VERB
ejpam-6632	135	22	a	a	DET
ejpam-6632	135	23	principled	principled	ADJ
ejpam-6632	135	24	mathematical	mathematical	ADJ
ejpam-6632	135	25	framework	framework	NOUN
ejpam-6632	135	26	that	that	PRON
ejpam-6632	135	27	offers	offers	AUX
ejpam-6632	135	28	bounded	bound	VERB
ejpam-6632	135	29	,	,	PUNCT
ejpam-6632	135	30	reproducible	reproducible	ADJ
ejpam-6632	135	31	,	,	PUNCT
ejpam-6632	135	32	and	and	CCONJ
ejpam-6632	135	33	lightweight	lightweight	ADJ
ejpam-6632	135	34	operators	operator	NOUN
ejpam-6632	135	35	for	for	ADP
ejpam-6632	135	36	edge	edge	NOUN
ejpam-6632	135	37	enhancement	enhancement	NOUN
ejpam-6632	135	38	.	.	PUNCT
ejpam-6632	136	1	its	its	PRON
ejpam-6632	136	2	application	application	NOUN
ejpam-6632	136	3	to	to	ADP
ejpam-6632	136	4	image	image	NOUN
ejpam-6632	136	5	processing	processing	NOUN
ejpam-6632	136	6	highlights	highlight	NOUN
ejpam-6632	136	7	the	the	DET
ejpam-6632	136	8	potential	potential	NOUN
ejpam-6632	136	9	of	of	ADP
ejpam-6632	136	10	analytic	analytic	ADJ
ejpam-6632	136	11	function	function	NOUN
ejpam-6632	136	12	results	result	NOUN
ejpam-6632	136	13	to	to	PART
ejpam-6632	136	14	contribute	contribute	VERB
ejpam-6632	136	15	uniquely	uniquely	ADV
ejpam-6632	136	16	to	to	ADP
ejpam-6632	136	17	stability	stability	NOUN
ejpam-6632	136	18	and	and	CCONJ
ejpam-6632	136	19	interpretability	interpretability	NOUN
ejpam-6632	136	20	,	,	PUNCT
ejpam-6632	136	21	motivating	motivate	VERB
ejpam-6632	136	22	further	further	ADJ
ejpam-6632	136	23	exploration	exploration	NOUN
ejpam-6632	136	24	of	of	ADP
ejpam-6632	136	25	their	their	PRON
ejpam-6632	136	26	role	role	NOUN
ejpam-6632	136	27	in	in	ADP
ejpam-6632	136	28	complementing	complement	VERB
ejpam-6632	136	29	existing	exist	VERB
ejpam-6632	136	30	approaches	approach	NOUN
ejpam-6632	136	31	.	.	PUNCT
ejpam-6632	137	1	4	4	X
ejpam-6632	137	2	.	.	X
ejpam-6632	137	3	methodology	methodology	NOUN
ejpam-6632	137	4	this	this	DET
ejpam-6632	137	5	code	code	NOUN
ejpam-6632	137	6	enhances	enhance	VERB
ejpam-6632	137	7	images	image	NOUN
ejpam-6632	137	8	by	by	ADP
ejpam-6632	137	9	implementing	implement	VERB
ejpam-6632	137	10	edge	edge	NOUN
ejpam-6632	137	11	and	and	CCONJ
ejpam-6632	137	12	contrast	contrast	NOUN
ejpam-6632	137	13	improvement	improvement	NOUN
ejpam-6632	137	14	inspired	inspire	VERB
ejpam-6632	137	15	by	by	ADP
ejpam-6632	137	16	feketeszegö	feketeszegö	NOUN
ejpam-6632	137	17	[	[	X
ejpam-6632	137	18	43	43	NUM
ejpam-6632	137	19	,	,	PUNCT
ejpam-6632	137	20	46–48	46–48	NUM
ejpam-6632	137	21	]	]	PUNCT
ejpam-6632	137	22	.	.	PUNCT
ejpam-6632	138	1	it	it	PRON
ejpam-6632	138	2	starts	start	VERB
ejpam-6632	138	3	with	with	ADP
ejpam-6632	138	4	sakaguchi	sakaguchi	ADJ
ejpam-6632	138	5	-	-	PUNCT
ejpam-6632	138	6	inspired	inspire	VERB
ejpam-6632	138	7	edge	edge	NOUN
ejpam-6632	138	8	detection	detection	NOUN
ejpam-6632	138	9	techniques	technique	NOUN
ejpam-6632	138	10	:	:	PUNCT
ejpam-6632	138	11	running	run	VERB
ejpam-6632	138	12	various	various	ADJ
ejpam-6632	138	13	multi	multi	ADJ
ejpam-6632	138	14	-	-	NOUN
ejpam-6632	138	15	scale	scale	ADJ
ejpam-6632	138	16	and	and	CCONJ
ejpam-6632	138	17	multi	multi	ADJ
ejpam-6632	138	18	-	-	ADJ
ejpam-6632	138	19	orientation	orientation	ADJ
ejpam-6632	138	20	gabor	gabor	NOUN
ejpam-6632	138	21	filters	filter	VERB
ejpam-6632	138	22	to	to	PART
ejpam-6632	138	23	capture	capture	VERB
ejpam-6632	138	24	edges	edge	NOUN
ejpam-6632	138	25	and	and	CCONJ
ejpam-6632	138	26	textures	texture	NOUN
ejpam-6632	138	27	,	,	PUNCT
ejpam-6632	138	28	yielding	yield	VERB
ejpam-6632	138	29	an	an	DET
ejpam-6632	138	30	edge	edge	NOUN
ejpam-6632	138	31	map	map	NOUN
ejpam-6632	138	32	that	that	PRON
ejpam-6632	138	33	reveals	reveal	VERB
ejpam-6632	138	34	structural	structural	ADJ
ejpam-6632	138	35	information	information	NOUN
ejpam-6632	138	36	.	.	PUNCT
ejpam-6632	139	1	then	then	ADV
ejpam-6632	139	2	,	,	PUNCT
ejpam-6632	139	3	a	a	DET
ejpam-6632	139	4	fekete	fekete	NOUN
ejpam-6632	139	5	-	-	PUNCT
ejpam-6632	139	6	szegö	szegö	ADV
ejpam-6632	139	7	-	-	PUNCT
ejpam-6632	139	8	inspired	inspire	VERB
ejpam-6632	139	9	enhancement	enhancement	NOUN
ejpam-6632	139	10	of	of	ADP
ejpam-6632	139	11	contrast	contrast	NOUN
ejpam-6632	139	12	is	be	AUX
ejpam-6632	139	13	applied	apply	VERB
ejpam-6632	139	14	through	through	ADP
ejpam-6632	139	15	manipulation	manipulation	NOUN
ejpam-6632	139	16	of	of	ADP
ejpam-6632	139	17	the	the	DET
ejpam-6632	139	18	luminance	luminance	NOUN
ejpam-6632	139	19	of	of	ADP
ejpam-6632	139	20	the	the	DET
ejpam-6632	139	21	input	input	NOUN
ejpam-6632	139	22	image	image	NOUN
ejpam-6632	139	23	in	in	ADP
ejpam-6632	139	24	small	small	ADJ
ejpam-6632	139	25	blocks	block	NOUN
ejpam-6632	139	26	,	,	PUNCT
ejpam-6632	139	27	amplifying	amplify	VERB
ejpam-6632	139	28	subtle	subtle	ADJ
ejpam-6632	139	29	gradient	gradient	ADJ
ejpam-6632	139	30	differences	difference	NOUN
ejpam-6632	139	31	that	that	PRON
ejpam-6632	139	32	may	may	AUX
ejpam-6632	139	33	show	show	VERB
ejpam-6632	139	34	finer	fine	ADJ
ejpam-6632	139	35	textures	texture	NOUN
ejpam-6632	139	36	.	.	PUNCT
ejpam-6632	140	1	improvements	improvement	NOUN
ejpam-6632	140	2	are	be	AUX
ejpam-6632	140	3	then	then	ADV
ejpam-6632	140	4	combined	combine	VERB
ejpam-6632	140	5	to	to	PART
ejpam-6632	140	6	execute	execute	VERB
ejpam-6632	140	7	a	a	DET
ejpam-6632	140	8	merge	merge	NOUN
ejpam-6632	140	9	of	of	ADP
ejpam-6632	140	10	detected	detect	VERB
ejpam-6632	140	11	edges	edge	NOUN
ejpam-6632	140	12	because	because	SCONJ
ejpam-6632	140	13	of	of	ADP
ejpam-6632	140	14	the	the	DET
ejpam-6632	140	15	improved	improved	ADJ
ejpam-6632	140	16	contrast	contrast	NOUN
ejpam-6632	140	17	,	,	PUNCT
ejpam-6632	140	18	followed	follow	VERB
ejpam-6632	140	19	by	by	ADP
ejpam-6632	140	20	a	a	DET
ejpam-6632	140	21	sharpening	sharpen	VERB
ejpam-6632	140	22	filter	filter	NOUN
ejpam-6632	140	23	that	that	PRON
ejpam-6632	140	24	enhances	enhance	VERB
ejpam-6632	140	25	the	the	DET
ejpam-6632	140	26	details	detail	NOUN
ejpam-6632	140	27	further	far	ADV
ejpam-6632	140	28	.	.	PUNCT
ejpam-6632	141	1	finally	finally	ADV
ejpam-6632	141	2	,	,	PUNCT
ejpam-6632	141	3	bilateral	bilateral	ADJ
ejpam-6632	141	4	filtering	filtering	NOUN
ejpam-6632	141	5	reduces	reduce	VERB
ejpam-6632	141	6	noise	noise	NOUN
ejpam-6632	141	7	but	but	CCONJ
ejpam-6632	141	8	maintains	maintain	VERB
ejpam-6632	141	9	the	the	DET
ejpam-6632	141	10	clarity	clarity	NOUN
ejpam-6632	141	11	of	of	ADP
ejpam-6632	141	12	the	the	DET
ejpam-6632	141	13	edges	edge	NOUN
ejpam-6632	141	14	for	for	ADP
ejpam-6632	141	15	a	a	DET
ejpam-6632	141	16	refined	refined	ADJ
ejpam-6632	141	17	high	high	ADJ
ejpam-6632	141	18	-	-	PUNCT
ejpam-6632	141	19	quality	quality	NOUN
ejpam-6632	141	20	image	image	NOUN
ejpam-6632	141	21	.	.	PUNCT
ejpam-6632	142	1	the	the	DET
ejpam-6632	142	2	effectiveness	effectiveness	NOUN
ejpam-6632	142	3	can	can	AUX
ejpam-6632	142	4	be	be	AUX
ejpam-6632	142	5	seen	see	VERB
ejpam-6632	142	6	in	in	ADP
ejpam-6632	142	7	various	various	ADJ
ejpam-6632	142	8	examples	example	NOUN
ejpam-6632	142	9	,	,	PUNCT
ejpam-6632	142	10	such	such	ADJ
ejpam-6632	142	11	as	as	ADP
ejpam-6632	142	12	in	in	ADP
ejpam-6632	142	13	a	a	DET
ejpam-6632	142	14	horse	horse	NOUN
ejpam-6632	142	15	image	image	NOUN
ejpam-6632	142	16	,	,	PUNCT
ejpam-6632	142	17	where	where	SCONJ
ejpam-6632	142	18	the	the	DET
ejpam-6632	142	19	steel	steel	NOUN
ejpam-6632	142	20	and	and	CCONJ
ejpam-6632	142	21	grass	grass	NOUN
ejpam-6632	142	22	come	come	VERB
ejpam-6632	142	23	out	out	ADP
ejpam-6632	142	24	much	much	ADV
ejpam-6632	142	25	more	more	ADV
ejpam-6632	142	26	prominently	prominently	ADV
ejpam-6632	142	27	;	;	PUNCT
ejpam-6632	142	28	or	or	CCONJ
ejpam-6632	142	29	in	in	ADP
ejpam-6632	142	30	a	a	DET
ejpam-6632	142	31	leaf	leaf	NOUN
ejpam-6632	142	32	on	on	ADP
ejpam-6632	142	33	a	a	DET
ejpam-6632	142	34	black	black	ADJ
ejpam-6632	142	35	background	background	NOUN
ejpam-6632	142	36	,	,	PUNCT
ejpam-6632	142	37	with	with	ADP
ejpam-6632	142	38	its	its	PRON
ejpam-6632	142	39	shadows	shadow	NOUN
ejpam-6632	142	40	adding	add	VERB
ejpam-6632	142	41	depth	depth	NOUN
ejpam-6632	142	42	,	,	PUNCT
ejpam-6632	142	43	or	or	CCONJ
ejpam-6632	142	44	the	the	DET
ejpam-6632	142	45	flower	flower	NOUN
ejpam-6632	142	46	image	image	NOUN
ejpam-6632	142	47	,	,	PUNCT
ejpam-6632	142	48	which	which	PRON
ejpam-6632	142	49	gives	give	VERB
ejpam-6632	142	50	great	great	ADJ
ejpam-6632	142	51	detail	detail	NOUN
ejpam-6632	142	52	of	of	ADP
ejpam-6632	142	53	buds	bud	NOUN
ejpam-6632	142	54	and	and	CCONJ
ejpam-6632	142	55	leaves	leave	NOUN
ejpam-6632	142	56	,	,	PUNCT
ejpam-6632	142	57	and	and	CCONJ
ejpam-6632	142	58	shades	shade	NOUN
ejpam-6632	142	59	,	,	PUNCT
ejpam-6632	142	60	vividly	vividly	ADV
ejpam-6632	142	61	brought	bring	VERB
ejpam-6632	142	62	out	out	ADP
ejpam-6632	142	63	to	to	PART
ejpam-6632	142	64	enhance	enhance	VERB
ejpam-6632	142	65	the	the	DET
ejpam-6632	142	66	viewing	view	VERB
ejpam-6632	142	67	experience	experience	NOUN
ejpam-6632	142	68	.	.	PUNCT
ejpam-6632	143	1	5	5	X
ejpam-6632	143	2	.	.	X
ejpam-6632	143	3	the	the	DET
ejpam-6632	143	4	proposed	propose	VERB
ejpam-6632	143	5	algorithm	algorithm	NOUN
ejpam-6632	143	6	this	this	DET
ejpam-6632	143	7	section	section	NOUN
ejpam-6632	143	8	details	detail	VERB
ejpam-6632	143	9	the	the	DET
ejpam-6632	143	10	systematic	systematic	ADJ
ejpam-6632	143	11	translation	translation	NOUN
ejpam-6632	143	12	of	of	ADP
ejpam-6632	143	13	the	the	DET
ejpam-6632	143	14	rigorous	rigorous	ADJ
ejpam-6632	143	15	coefficient	coefficient	NOUN
ejpam-6632	143	16	bounds	bound	NOUN
ejpam-6632	143	17	and	and	CCONJ
ejpam-6632	143	18	analytic	analytic	ADJ
ejpam-6632	143	19	inequalities	inequality	NOUN
ejpam-6632	143	20	established	establish	VERB
ejpam-6632	143	21	earlier	early	ADV
ejpam-6632	143	22	into	into	ADP
ejpam-6632	143	23	explicit	explicit	ADJ
ejpam-6632	143	24	algorithmic	algorithmic	ADJ
ejpam-6632	143	25	procedures	procedure	NOUN
ejpam-6632	143	26	and	and	CCONJ
ejpam-6632	143	27	parameter	parameter	NOUN
ejpam-6632	143	28	choices	choice	NOUN
ejpam-6632	143	29	within	within	ADP
ejpam-6632	143	30	the	the	DET
ejpam-6632	143	31	image	image	NOUN
ejpam-6632	143	32	enhancement	enhancement	NOUN
ejpam-6632	143	33	pipeline	pipeline	NOUN
ejpam-6632	143	34	.	.	PUNCT
ejpam-6632	144	1	in	in	ADP
ejpam-6632	144	2	contrast	contrast	NOUN
ejpam-6632	144	3	to	to	ADP
ejpam-6632	144	4	classical	classical	ADJ
ejpam-6632	144	5	implementations	implementation	NOUN
ejpam-6632	144	6	,	,	PUNCT
ejpam-6632	144	7	every	every	DET
ejpam-6632	144	8	processing	processing	NOUN
ejpam-6632	144	9	step	step	NOUN
ejpam-6632	144	10	is	be	AUX
ejpam-6632	144	11	rigorously	rigorously	ADV
ejpam-6632	144	12	informed	inform	VERB
ejpam-6632	144	13	and	and	CCONJ
ejpam-6632	144	14	constrained	constrain	VERB
ejpam-6632	144	15	by	by	ADP
ejpam-6632	144	16	the	the	DET
ejpam-6632	144	17	underlying	underlying	ADJ
ejpam-6632	144	18	mathematical	mathematical	ADJ
ejpam-6632	144	19	theory	theory	NOUN
ejpam-6632	144	20	.	.	PUNCT
ejpam-6632	145	1	mathematical	mathematical	ADJ
ejpam-6632	145	2	-	-	PUNCT
ejpam-6632	145	3	to	to	ADP
ejpam-6632	145	4	-	-	PUNCT
ejpam-6632	145	5	algorithmic	algorithmic	ADJ
ejpam-6632	145	6	mapping	mapping	NOUN
ejpam-6632	145	7	5.1	5.1	NUM
ejpam-6632	145	8	.	.	PUNCT
ejpam-6632	146	1	parameter	parameter	PROPN
ejpam-6632	146	2	initialization	initialization	NOUN
ejpam-6632	146	3	using	use	VERB
ejpam-6632	146	4	analytic	analytic	ADJ
ejpam-6632	146	5	bounds	bound	NOUN
ejpam-6632	146	6	•	•	PRON
ejpam-6632	146	7	coefficient	coefficient	NOUN
ejpam-6632	146	8	bounds	bound	NOUN
ejpam-6632	146	9	(	(	PUNCT
ejpam-6632	146	10	|a2|	|a2|	NOUN
ejpam-6632	146	11	,	,	PUNCT
ejpam-6632	146	12	|a3|	|a3|	NOUN
ejpam-6632	146	13	,	,	PUNCT
ejpam-6632	146	14	|a3	|a3	NOUN
ejpam-6632	146	15	−	−	NOUN
ejpam-6632	146	16	µa22|	µa22|	NOUN
ejpam-6632	146	17	)	)	PUNCT
ejpam-6632	146	18	derived	derive	VERB
ejpam-6632	146	19	in	in	ADP
ejpam-6632	146	20	theorems	theorem	NOUN
ejpam-6632	146	21	2.1	2.1	NUM
ejpam-6632	146	22	and	and	CCONJ
ejpam-6632	146	23	2.2	2.2	NUM
ejpam-6632	146	24	directly	directly	ADV
ejpam-6632	146	25	inform	inform	VERB
ejpam-6632	146	26	the	the	DET
ejpam-6632	146	27	selection	selection	NOUN
ejpam-6632	146	28	and	and	CCONJ
ejpam-6632	146	29	constraint	constraint	NOUN
ejpam-6632	146	30	of	of	ADP
ejpam-6632	146	31	parameters	parameter	NOUN
ejpam-6632	146	32	in	in	ADP
ejpam-6632	146	33	the	the	DET
ejpam-6632	146	34	code	code	NOUN
ejpam-6632	146	35	.	.	PUNCT
ejpam-6632	147	1	•	•	NOUN
ejpam-6632	147	2	each	each	DET
ejpam-6632	147	3	kernel	kernel	NOUN
ejpam-6632	147	4	size	size	NOUN
ejpam-6632	147	5	,	,	PUNCT
ejpam-6632	147	6	orientation	orientation	NOUN
ejpam-6632	147	7	,	,	PUNCT
ejpam-6632	147	8	and	and	CCONJ
ejpam-6632	147	9	normalization	normalization	NOUN
ejpam-6632	147	10	factor	factor	NOUN
ejpam-6632	147	11	in	in	ADP
ejpam-6632	147	12	the	the	DET
ejpam-6632	147	13	enhancement	enhancement	NOUN
ejpam-6632	147	14	pipeline	pipeline	NOUN
ejpam-6632	147	15	is	be	AUX
ejpam-6632	147	16	chosen	choose	VERB
ejpam-6632	147	17	not	not	PART
ejpam-6632	147	18	arbitrarily	arbitrarily	ADV
ejpam-6632	147	19	but	but	CCONJ
ejpam-6632	147	20	to	to	PART
ejpam-6632	147	21	respect	respect	VERB
ejpam-6632	147	22	these	these	DET
ejpam-6632	147	23	analytic	analytic	ADJ
ejpam-6632	147	24	bounds	bound	NOUN
ejpam-6632	147	25	,	,	PUNCT
ejpam-6632	147	26	providing	provide	VERB
ejpam-6632	147	27	a	a	DET
ejpam-6632	147	28	mathematically	mathematically	ADV
ejpam-6632	147	29	justified	justify	VERB
ejpam-6632	147	30	structure	structure	NOUN
ejpam-6632	147	31	for	for	ADP
ejpam-6632	147	32	all	all	DET
ejpam-6632	147	33	subsequent	subsequent	ADJ
ejpam-6632	147	34	steps	step	NOUN
ejpam-6632	147	35	.	.	PUNCT
ejpam-6632	148	1	5.2	5.2	NUM
ejpam-6632	148	2	.	.	PUNCT
ejpam-6632	148	3	sakaguchi	sakaguchi	ADJ
ejpam-6632	148	4	-	-	PUNCT
ejpam-6632	148	5	inspired	inspire	VERB
ejpam-6632	148	6	edge	edge	NOUN
ejpam-6632	148	7	detection	detection	NOUN
ejpam-6632	148	8	:	:	PUNCT
ejpam-6632	148	9	theory	theory	NOUN
ejpam-6632	148	10	-	-	PUNCT
ejpam-6632	148	11	guided	guide	VERB
ejpam-6632	148	12	filtering	filtering	NOUN
ejpam-6632	148	13	•	•	NOUN
ejpam-6632	148	14	in	in	ADP
ejpam-6632	148	15	the	the	DET
ejpam-6632	148	16	function	function	NOUN
ejpam-6632	148	17	sakaguchi_edge_detection	sakaguchi_edge_detection	NOUN
ejpam-6632	148	18	,	,	PUNCT
ejpam-6632	148	19	the	the	DET
ejpam-6632	148	20	scales	scale	NOUN
ejpam-6632	148	21	and	and	CCONJ
ejpam-6632	148	22	orientations	orientation	NOUN
ejpam-6632	148	23	of	of	ADP
ejpam-6632	148	24	gabor	gabor	PROPN
ejpam-6632	148	25	kernels	kernel	NOUN
ejpam-6632	148	26	are	be	AUX
ejpam-6632	148	27	not	not	PART
ejpam-6632	148	28	simply	simply	ADV
ejpam-6632	148	29	selected	select	VERB
ejpam-6632	148	30	by	by	ADP
ejpam-6632	148	31	trial	trial	NOUN
ejpam-6632	148	32	and	and	CCONJ
ejpam-6632	148	33	error	error	NOUN
ejpam-6632	148	34	.	.	PUNCT
ejpam-6632	149	1	instead	instead	ADV
ejpam-6632	149	2	:	:	PUNCT
ejpam-6632	149	3	–	–	PUNCT
ejpam-6632	149	4	the	the	DET
ejpam-6632	149	5	allowed	allow	VERB
ejpam-6632	149	6	scales	scale	NOUN
ejpam-6632	149	7	are	be	AUX
ejpam-6632	149	8	matched	match	VERB
ejpam-6632	149	9	to	to	ADP
ejpam-6632	149	10	the	the	DET
ejpam-6632	149	11	spatial	spatial	ADJ
ejpam-6632	149	12	feature	feature	NOUN
ejpam-6632	149	13	bounds	bound	NOUN
ejpam-6632	149	14	set	set	VERB
ejpam-6632	149	15	by	by	ADP
ejpam-6632	149	16	the	the	DET
ejpam-6632	149	17	starlike	starlike	NOUN
ejpam-6632	149	18	and	and	CCONJ
ejpam-6632	149	19	convexity	convexity	NOUN
ejpam-6632	149	20	constraints	constraint	NOUN
ejpam-6632	149	21	of	of	ADP
ejpam-6632	149	22	the	the	DET
ejpam-6632	149	23	analytic	analytic	ADJ
ejpam-6632	149	24	inequalities	inequality	NOUN
ejpam-6632	149	25	.	.	PUNCT
ejpam-6632	150	1	–	–	PUNCT
ejpam-6632	150	2	kernel	kernel	NOUN
ejpam-6632	150	3	orientation	orientation	NOUN
ejpam-6632	150	4	and	and	CCONJ
ejpam-6632	150	5	frequency	frequency	NOUN
ejpam-6632	150	6	responses	response	NOUN
ejpam-6632	150	7	are	be	AUX
ejpam-6632	150	8	tuned	tune	VERB
ejpam-6632	150	9	to	to	PART
ejpam-6632	150	10	maximize	maximize	VERB
ejpam-6632	150	11	feature	feature	NOUN
ejpam-6632	150	12	extraction	extraction	NOUN
ejpam-6632	150	13	within	within	ADP
ejpam-6632	150	14	the	the	DET
ejpam-6632	150	15	coefficient	coefficient	NOUN
ejpam-6632	150	16	limits	limit	NOUN
ejpam-6632	150	17	,	,	PUNCT
ejpam-6632	150	18	ensuring	ensure	VERB
ejpam-6632	150	19	stable	stable	ADJ
ejpam-6632	150	20	and	and	CCONJ
ejpam-6632	150	21	optimal	optimal	ADJ
ejpam-6632	150	22	edge	edge	NOUN
ejpam-6632	150	23	enhancement	enhancement	NOUN
ejpam-6632	150	24	compared	compare	VERB
ejpam-6632	150	25	to	to	ADP
ejpam-6632	150	26	classical	classical	ADJ
ejpam-6632	150	27	gabor	gabor	NOUN
ejpam-6632	150	28	filter	filter	NOUN
ejpam-6632	150	29	use	use	NOUN
ejpam-6632	150	30	,	,	PUNCT
ejpam-6632	150	31	which	which	PRON
ejpam-6632	150	32	lacks	lack	VERB
ejpam-6632	150	33	theoretical	theoretical	ADJ
ejpam-6632	150	34	grounding	grounding	NOUN
ejpam-6632	150	35	.	.	PUNCT
ejpam-6632	151	1	r.	r.	PROPN
ejpam-6632	151	2	kamali	kamali	PROPN
ejpam-6632	151	3	et	et	PROPN
ejpam-6632	151	4	al	al	PROPN
ejpam-6632	151	5	.	.	PUNCT
ejpam-6632	151	6	/	/	SYM
ejpam-6632	151	7	eur	eur	PROPN
ejpam-6632	151	8	.	.	PUNCT
ejpam-6632	152	1	j.	j.	PROPN
ejpam-6632	152	2	pure	pure	PROPN
ejpam-6632	152	3	appl	appl	PROPN
ejpam-6632	152	4	.	.	PROPN
ejpam-6632	152	5	math	math	PROPN
ejpam-6632	152	6	,	,	PUNCT
ejpam-6632	152	7	18	18	NUM
ejpam-6632	152	8	(	(	PUNCT
ejpam-6632	152	9	4	4	NUM
ejpam-6632	152	10	)	)	PUNCT
ejpam-6632	152	11	(	(	PUNCT
ejpam-6632	152	12	2025	2025	NUM
ejpam-6632	152	13	)	)	PUNCT
ejpam-6632	152	14	,	,	PUNCT
ejpam-6632	152	15	6632	6632	NUM
ejpam-6632	152	16	8	8	NUM
ejpam-6632	152	17	of	of	ADP
ejpam-6632	152	18	19	19	NUM
ejpam-6632	152	19	5.3	5.3	NUM
ejpam-6632	152	20	.	.	PUNCT
ejpam-6632	153	1	fekete	fekete	PROPN
ejpam-6632	153	2	–	–	PUNCT
ejpam-6632	153	3	szegö	szegö	ADJ
ejpam-6632	153	4	contrast	contrast	NOUN
ejpam-6632	153	5	enhancement	enhancement	NOUN
ejpam-6632	153	6	:	:	PUNCT
ejpam-6632	153	7	novelty	novelty	NOUN
ejpam-6632	153	8	via	via	ADP
ejpam-6632	153	9	parameter	parameter	NOUN
ejpam-6632	153	10	restriction	restriction	NOUN
ejpam-6632	153	11	•	•	ADP
ejpam-6632	153	12	the	the	DET
ejpam-6632	153	13	contrast	contrast	NOUN
ejpam-6632	153	14	parameter	parameter	NOUN
ejpam-6632	153	15	µ	µ	X
ejpam-6632	153	16	in	in	ADP
ejpam-6632	153	17	fekete_szego_contrast	fekete_szego_contrast	PROPN
ejpam-6632	153	18	is	be	AUX
ejpam-6632	153	19	computed	compute	VERB
ejpam-6632	153	20	and	and	CCONJ
ejpam-6632	153	21	restricted	restrict	VERB
ejpam-6632	153	22	based	base	VERB
ejpam-6632	153	23	on	on	ADP
ejpam-6632	153	24	the	the	DET
ejpam-6632	153	25	bounds	bound	NOUN
ejpam-6632	153	26	for	for	ADP
ejpam-6632	153	27	|a3	|a3	NOUN
ejpam-6632	153	28	−	−	PROPN
ejpam-6632	153	29	µa22|	µa22|	ADP
ejpam-6632	153	30	from	from	ADP
ejpam-6632	153	31	fekete	fekete	PROPN
ejpam-6632	153	32	–	–	PUNCT
ejpam-6632	153	33	szegö	szegö	ADJ
ejpam-6632	153	34	theory	theory	NOUN
ejpam-6632	153	35	.	.	PUNCT
ejpam-6632	154	1	•	•	NOUN
ejpam-6632	154	2	this	this	PRON
ejpam-6632	154	3	ensures	ensure	VERB
ejpam-6632	154	4	local	local	ADJ
ejpam-6632	154	5	contrast	contrast	NOUN
ejpam-6632	154	6	enhancement	enhancement	NOUN
ejpam-6632	154	7	remains	remain	VERB
ejpam-6632	154	8	within	within	ADP
ejpam-6632	154	9	safe	safe	ADJ
ejpam-6632	154	10	,	,	PUNCT
ejpam-6632	154	11	mathematically	mathematically	ADV
ejpam-6632	154	12	prescribed	prescribe	VERB
ejpam-6632	154	13	levels	level	NOUN
ejpam-6632	154	14	,	,	PUNCT
ejpam-6632	154	15	mitigating	mitigate	VERB
ejpam-6632	154	16	risks	risk	NOUN
ejpam-6632	154	17	of	of	ADP
ejpam-6632	154	18	over	over	ADP
ejpam-6632	154	19	-	-	PUNCT
ejpam-6632	154	20	amplification	amplification	NOUN
ejpam-6632	154	21	,	,	PUNCT
ejpam-6632	154	22	noise	noise	NOUN
ejpam-6632	154	23	,	,	PUNCT
ejpam-6632	154	24	and	and	CCONJ
ejpam-6632	154	25	unnatural	unnatural	ADJ
ejpam-6632	154	26	appearance	appearance	NOUN
ejpam-6632	154	27	that	that	PRON
ejpam-6632	154	28	plague	plague	NOUN
ejpam-6632	154	29	heuristic	heuristic	ADJ
ejpam-6632	154	30	methods	method	NOUN
ejpam-6632	154	31	.	.	PUNCT
ejpam-6632	155	1	•	•	NOUN
ejpam-6632	155	2	the	the	DET
ejpam-6632	155	3	enhancement	enhancement	NOUN
ejpam-6632	155	4	function	function	NOUN
ejpam-6632	155	5	specifically	specifically	ADV
ejpam-6632	155	6	implements	implement	VERB
ejpam-6632	155	7	:	:	PUNCT
ejpam-6632	155	8	•	•	NUM
ejpam-6632	155	9	enhanced_l_channel	enhanced_l_channel	NOUN
ejpam-6632	155	10	=	=	PUNCT
ejpam-6632	155	11	l_channel	l_channel	NOUN
ejpam-6632	155	12	+	+	CCONJ
ejpam-6632	155	13	mu	mu	NOUN
ejpam-6632	155	14	*	*	PUNCT
ejpam-6632	155	15	(	(	PUNCT
ejpam-6632	155	16	l_channel	l_channel	NOUN
ejpam-6632	155	17	local_mean	local_mean	NUM
ejpam-6632	155	18	)	)	PUNCT
ejpam-6632	155	19	where	where	SCONJ
ejpam-6632	155	20	µ	µ	NOUN
ejpam-6632	155	21	is	be	AUX
ejpam-6632	155	22	chosen	choose	VERB
ejpam-6632	155	23	according	accord	VERB
ejpam-6632	155	24	to	to	ADP
ejpam-6632	155	25	analytic	analytic	ADJ
ejpam-6632	155	26	inequalities	inequality	NOUN
ejpam-6632	155	27	,	,	PUNCT
ejpam-6632	155	28	demonstrating	demonstrate	VERB
ejpam-6632	155	29	a	a	DET
ejpam-6632	155	30	direct	direct	ADJ
ejpam-6632	155	31	mathematicalto	mathematicalto	NOUN
ejpam-6632	155	32	-	-	PUNCT
ejpam-6632	155	33	code	code	NOUN
ejpam-6632	155	34	link	link	NOUN
ejpam-6632	155	35	.	.	PUNCT
ejpam-6632	156	1	5.4	5.4	NUM
ejpam-6632	156	2	.	.	PUNCT
ejpam-6632	156	3	sharpening	sharpen	VERB
ejpam-6632	156	4	and	and	CCONJ
ejpam-6632	156	5	bilateral	bilateral	ADJ
ejpam-6632	156	6	filtering	filtering	NOUN
ejpam-6632	156	7	under	under	ADP
ejpam-6632	156	8	analytic	analytic	ADJ
ejpam-6632	156	9	constraints	constraint	NOUN
ejpam-6632	156	10	•	•	ADP
ejpam-6632	156	11	the	the	DET
ejpam-6632	156	12	sharpening	sharpen	VERB
ejpam-6632	156	13	kernel	kernel	NOUN
ejpam-6632	156	14	and	and	CCONJ
ejpam-6632	156	15	bilateral	bilateral	ADJ
ejpam-6632	156	16	filter	filter	NOUN
ejpam-6632	156	17	parameters	parameter	NOUN
ejpam-6632	156	18	in	in	ADP
ejpam-6632	156	19	the	the	DET
ejpam-6632	156	20	python	python	PROPN
ejpam-6632	156	21	code	code	NOUN
ejpam-6632	156	22	are	be	AUX
ejpam-6632	156	23	selected	select	VERB
ejpam-6632	156	24	to	to	PART
ejpam-6632	156	25	not	not	PART
ejpam-6632	156	26	exceed	exceed	VERB
ejpam-6632	156	27	the	the	DET
ejpam-6632	156	28	enhancement	enhancement	NOUN
ejpam-6632	156	29	and	and	CCONJ
ejpam-6632	156	30	smoothness	smoothness	ADJ
ejpam-6632	156	31	bounds	bound	NOUN
ejpam-6632	156	32	justified	justify	VERB
ejpam-6632	156	33	by	by	ADP
ejpam-6632	156	34	the	the	DET
ejpam-6632	156	35	derived	derive	VERB
ejpam-6632	156	36	inequalities	inequality	NOUN
ejpam-6632	156	37	.	.	PUNCT
ejpam-6632	157	1	•	•	NUM
ejpam-6632	157	2	classical	classical	ADJ
ejpam-6632	157	3	sharpening	sharpening	NOUN
ejpam-6632	157	4	and	and	CCONJ
ejpam-6632	157	5	smoothing	smoothing	NOUN
ejpam-6632	157	6	are	be	AUX
ejpam-6632	157	7	thus	thus	ADV
ejpam-6632	157	8	mathematically	mathematically	ADV
ejpam-6632	157	9	constrained	constrain	VERB
ejpam-6632	157	10	,	,	PUNCT
ejpam-6632	157	11	significantly	significantly	ADV
ejpam-6632	157	12	improving	improve	VERB
ejpam-6632	157	13	stability	stability	NOUN
ejpam-6632	157	14	and	and	CCONJ
ejpam-6632	157	15	preserving	preserve	VERB
ejpam-6632	157	16	analytic	analytic	ADJ
ejpam-6632	157	17	properties	property	NOUN
ejpam-6632	157	18	not	not	PART
ejpam-6632	157	19	guaranteed	guarantee	VERB
ejpam-6632	157	20	in	in	ADP
ejpam-6632	157	21	traditional	traditional	ADJ
ejpam-6632	157	22	,	,	PUNCT
ejpam-6632	157	23	empirical	empirical	ADJ
ejpam-6632	157	24	pipelines	pipeline	NOUN
ejpam-6632	157	25	.	.	PUNCT
ejpam-6632	158	1	r.	r.	PROPN
ejpam-6632	158	2	kamali	kamali	PROPN
ejpam-6632	158	3	et	et	PROPN
ejpam-6632	158	4	al	al	PROPN
ejpam-6632	158	5	.	.	PUNCT
ejpam-6632	158	6	/	/	SYM
ejpam-6632	158	7	eur	eur	PROPN
ejpam-6632	158	8	.	.	PUNCT
ejpam-6632	159	1	j.	j.	PROPN
ejpam-6632	159	2	pure	pure	PROPN
ejpam-6632	159	3	appl	appl	PROPN
ejpam-6632	159	4	.	.	PROPN
ejpam-6632	159	5	math	math	PROPN
ejpam-6632	159	6	,	,	PUNCT
ejpam-6632	159	7	18	18	NUM
ejpam-6632	159	8	(	(	PUNCT
ejpam-6632	159	9	4	4	NUM
ejpam-6632	159	10	)	)	PUNCT
ejpam-6632	159	11	(	(	PUNCT
ejpam-6632	159	12	2025	2025	NUM
ejpam-6632	159	13	)	)	PUNCT
ejpam-6632	159	14	,	,	PUNCT
ejpam-6632	159	15	6632	6632	NUM
ejpam-6632	159	16	9	9	NUM
ejpam-6632	159	17	of	of	ADP
ejpam-6632	159	18	19	19	NUM
ejpam-6632	159	19	6	6	NUM
ejpam-6632	159	20	.	.	PUNCT
ejpam-6632	159	21	code	code	PROPN
ejpam-6632	159	22	import	import	PROPN
ejpam-6632	159	23	cv2	cv2	PROPN
ejpam-6632	159	24	import	import	NOUN
ejpam-6632	159	25	numpy	numpy	NOUN
ejpam-6632	159	26	as	as	ADP
ejpam-6632	159	27	np	np	NUM
ejpam-6632	159	28	import	import	NOUN
ejpam-6632	159	29	matplotlib.pyplot	matplotlib.pyplot	PROPN
ejpam-6632	159	30	as	as	ADP
ejpam-6632	159	31	plt	plt	NOUN
ejpam-6632	159	32	from	from	ADP
ejpam-6632	159	33	skimage.metrics	skimage.metrics	NUM
ejpam-6632	159	34	import	import	NOUN
ejpam-6632	159	35	peak_signal_noise_ratio	peak_signal_noise_ratio	PROPN
ejpam-6632	159	36	as	as	ADP
ejpam-6632	159	37	psnr	psnr	NOUN
ejpam-6632	159	38	from	from	ADP
ejpam-6632	159	39	skimage.metrics	skimage.metrics	PROPN
ejpam-6632	159	40	import	import	NOUN
ejpam-6632	159	41	structural_similarity	structural_similarity	NOUN
ejpam-6632	159	42	as	as	ADP
ejpam-6632	159	43	ssim	ssim	NOUN
ejpam-6632	159	44	#	#	NOUN
ejpam-6632	159	45	load	load	NOUN
ejpam-6632	159	46	image	image	NOUN
ejpam-6632	159	47	image_path	image_path	NOUN
ejpam-6632	159	48	=	=	PUNCT
ejpam-6632	159	49	'	'	PUNCT
ejpam-6632	159	50	/content	/content	ADJ
ejpam-6632	159	51	/	/	SYM
ejpam-6632	159	52	flowerr	flowerr	NOUN
ejpam-6632	159	53	img.jpg	img.jpg	NOUN
ejpam-6632	159	54	'	'	PART
ejpam-6632	159	55	input_image	input_image	NOUN
ejpam-6632	159	56	=	=	PUNCT
ejpam-6632	159	57	cv2.imread(image_path	cv2.imread(image_path	NOUN
ejpam-6632	159	58	)	)	PUNCT
ejpam-6632	159	59	if	if	SCONJ
ejpam-6632	159	60	input_image	input_image	NOUN
ejpam-6632	159	61	is	be	AUX
ejpam-6632	159	62	none	none	NOUN
ejpam-6632	159	63	:	:	PUNCT
ejpam-6632	159	64	raise	raise	VERB
ejpam-6632	159	65	filenotfounderror("error	filenotfounderror("error	PROPN
ejpam-6632	159	66	:	:	PUNCT
ejpam-6632	159	67	image	image	NOUN
ejpam-6632	159	68	not	not	PART
ejpam-6632	159	69	found	find	VERB
ejpam-6632	159	70	.	.	PUNCT
ejpam-6632	160	1	check	check	VERB
ejpam-6632	160	2	path	path	NOUN
ejpam-6632	160	3	.	.	PUNCT
ejpam-6632	160	4	"	"	PUNCT
ejpam-6632	160	5	)	)	PUNCT
ejpam-6632	160	6	input_image_rgb	input_image_rgb	NOUN
ejpam-6632	160	7	=	=	SYM
ejpam-6632	160	8	cv2.cvtcolor(input_image	cv2.cvtcolor(input_image	PROPN
ejpam-6632	160	9	,	,	PUNCT
ejpam-6632	160	10	cv2.color_bgr2rgb	cv2.color_bgr2rgb	NOUN
ejpam-6632	160	11	)	)	PUNCT
ejpam-6632	160	12	input_image_gray	input_image_gray	NOUN
ejpam-6632	161	1	=	=	PUNCT
ejpam-6632	161	2	cv2.cvtcolor(input_image	cv2.cvtcolor(input_image	ADJ
ejpam-6632	161	3	,	,	PUNCT
ejpam-6632	161	4	cv2.color_bgr2gray	cv2.color_bgr2gray	ADJ
ejpam-6632	161	5	)	)	PUNCT
ejpam-6632	161	6	#	#	NOUN
ejpam-6632	161	7	step	step	NOUN
ejpam-6632	161	8	1	1	NUM
ejpam-6632	161	9	:	:	PUNCT
ejpam-6632	161	10	sakaguchi	sakaguchi	ADJ
ejpam-6632	161	11	-	-	PUNCT
ejpam-6632	161	12	inspired	inspire	VERB
ejpam-6632	161	13	edge	edge	NOUN
ejpam-6632	161	14	detection	detection	NOUN
ejpam-6632	161	15	def	def	ADJ
ejpam-6632	161	16	sakaguchi_edge_detection(image	sakaguchi_edge_detection(image	NOUN
ejpam-6632	161	17	,	,	PUNCT
ejpam-6632	161	18	scales=[5	scales=[5	NOUN
ejpam-6632	161	19	,	,	PUNCT
ejpam-6632	161	20	11	11	NUM
ejpam-6632	161	21	,	,	PUNCT
ejpam-6632	161	22	17	17	NUM
ejpam-6632	161	23	]	]	PUNCT
ejpam-6632	161	24	,	,	PUNCT
ejpam-6632	161	25	orientations=[0	orientations=[0	PROPN
ejpam-6632	161	26	,	,	PUNCT
ejpam-6632	161	27	45	45	NUM
ejpam-6632	161	28	,	,	PUNCT
ejpam-6632	161	29	90	90	NUM
ejpam-6632	161	30	,	,	PUNCT
ejpam-6632	161	31	135	135	NUM
ejpam-6632	161	32	]	]	PUNCT
ejpam-6632	161	33	):	):	PUNCT
ejpam-6632	161	34	edge_map	edge_map	NUM
ejpam-6632	161	35	=	=	SYM
ejpam-6632	161	36	np.zeros(image.shape[:2	np.zeros(image.shape[:2	NOUN
ejpam-6632	161	37	]	]	PUNCT
ejpam-6632	161	38	,	,	PUNCT
ejpam-6632	161	39	dtype	dtype	NOUN
ejpam-6632	161	40	=	=	NOUN
ejpam-6632	161	41	np.float32	np.float32	ADJ
ejpam-6632	161	42	)	)	PUNCT
ejpam-6632	161	43	for	for	ADP
ejpam-6632	161	44	scale	scale	NOUN
ejpam-6632	161	45	in	in	ADP
ejpam-6632	161	46	scales	scale	NOUN
ejpam-6632	161	47	:	:	PUNCT
ejpam-6632	161	48	for	for	ADP
ejpam-6632	161	49	angle	angle	NOUN
ejpam-6632	161	50	in	in	ADP
ejpam-6632	161	51	orientations	orientation	NOUN
ejpam-6632	161	52	:	:	PUNCT
ejpam-6632	161	53	gabor_filter	gabor_filt	ADJ
ejpam-6632	161	54	=	=	PROPN
ejpam-6632	161	55	cv2.getgaborkernel	cv2.getgaborkernel	PROPN
ejpam-6632	161	56	(	(	PUNCT
ejpam-6632	161	57	(	(	PUNCT
ejpam-6632	161	58	scale	scale	NOUN
ejpam-6632	161	59	,	,	PUNCT
ejpam-6632	161	60	scale	scale	NOUN
ejpam-6632	161	61	)	)	PUNCT
ejpam-6632	161	62	,	,	PUNCT
ejpam-6632	161	63	4.0	4.0	NUM
ejpam-6632	161	64	,	,	PUNCT
ejpam-6632	161	65	np.radians(angle	np.radians(angle	NOUN
ejpam-6632	161	66	)	)	PUNCT
ejpam-6632	161	67	,	,	PUNCT
ejpam-6632	161	68	10.0	10.0	NUM
ejpam-6632	161	69	,	,	PUNCT
ejpam-6632	161	70	0.5	0.5	NUM
ejpam-6632	161	71	,	,	PUNCT
ejpam-6632	161	72	0	0	NUM
ejpam-6632	161	73	,	,	PUNCT
ejpam-6632	161	74	ktype	ktype	NOUN
ejpam-6632	161	75	=	=	NOUN
ejpam-6632	161	76	cv2.cv_32f	cv2.cv_32f	NOUN
ejpam-6632	161	77	)	)	PUNCT
ejpam-6632	161	78	filtered_img	filtered_img	PROPN
ejpam-6632	162	1	=	=	SYM
ejpam-6632	162	2	cv2.filter2d(image	cv2.filter2d(image	PROPN
ejpam-6632	162	3	,	,	PUNCT
ejpam-6632	162	4	cv2.cv_8uc3	cv2.cv_8uc3	ADJ
ejpam-6632	162	5	,	,	PUNCT
ejpam-6632	162	6	gabor_filter	gabor_filter	NOUN
ejpam-6632	162	7	)	)	PUNCT
ejpam-6632	162	8	edge_map	edge_map	NUM
ejpam-6632	162	9	=	=	SYM
ejpam-6632	162	10	np.maximum(edge_map	np.maximum(edge_map	PROPN
ejpam-6632	162	11	,	,	PUNCT
ejpam-6632	162	12	filtered_img	filtered_img	NUM
ejpam-6632	162	13	)	)	PUNCT
ejpam-6632	162	14	return	return	VERB
ejpam-6632	162	15	edge_map	edge_map	NUM
ejpam-6632	162	16	sakaguchi_edges	sakaguchi_edge	NOUN
ejpam-6632	162	17	=	=	SYM
ejpam-6632	162	18	sakaguchi_edge_detection(input_image_gray	sakaguchi_edge_detection(input_image_gray	NOUN
ejpam-6632	162	19	)	)	PUNCT
ejpam-6632	162	20	#	#	NOUN
ejpam-6632	162	21	step	step	NOUN
ejpam-6632	162	22	2	2	NUM
ejpam-6632	162	23	:	:	PUNCT
ejpam-6632	162	24	fekete	fekete	NOUN
ejpam-6632	162	25	-	-	PUNCT
ejpam-6632	162	26	szegö	szegö	ADJ
ejpam-6632	162	27	contrast	contrast	NOUN
ejpam-6632	162	28	enhancement	enhancement	NOUN
ejpam-6632	162	29	def	def	ADJ
ejpam-6632	162	30	fekete_szego_contrast(image	fekete_szego_contrast(image	PROPN
ejpam-6632	162	31	,	,	PUNCT
ejpam-6632	162	32	mu=0.7	mu=0.7	ADJ
ejpam-6632	162	33	,	,	PUNCT
ejpam-6632	162	34	block_size=8	block_size=8	ADJ
ejpam-6632	162	35	):	):	PUNCT
ejpam-6632	162	36	lab_image	lab_image	NOUN
ejpam-6632	162	37	=	=	SYM
ejpam-6632	162	38	cv2.cvtcolor(image	cv2.cvtcolor(image	NOUN
ejpam-6632	162	39	,	,	PUNCT
ejpam-6632	162	40	cv2.color_bgr2lab	cv2.color_bgr2lab	NUM
ejpam-6632	162	41	)	)	PUNCT
ejpam-6632	162	42	l_channel	l_channel	NOUN
ejpam-6632	162	43	,	,	PUNCT
ejpam-6632	162	44	a	a	PRON
ejpam-6632	162	45	,	,	PUNCT
ejpam-6632	162	46	b	b	NOUN
ejpam-6632	162	47	=	=	SYM
ejpam-6632	162	48	cv2.split(lab_image	cv2.split(lab_image	NOUN
ejpam-6632	162	49	)	)	PUNCT
ejpam-6632	162	50	local_mean	local_mean	ADJ
ejpam-6632	162	51	=	=	SYM
ejpam-6632	162	52	cv2.blur(l_channel	cv2.blur(l_channel	X
ejpam-6632	162	53	,	,	PUNCT
ejpam-6632	162	54	(	(	PUNCT
ejpam-6632	162	55	block_size	block_size	VERB
ejpam-6632	162	56	,	,	PUNCT
ejpam-6632	162	57	block_size	block_size	NUM
ejpam-6632	162	58	)	)	PUNCT
ejpam-6632	162	59	)	)	PUNCT
ejpam-6632	162	60	enhanced_l_channel	enhanced_l_channel	NOUN
ejpam-6632	163	1	=	=	PUNCT
ejpam-6632	163	2	l_channel	l_channel	NOUN
ejpam-6632	163	3	+	+	CCONJ
ejpam-6632	163	4	mu	mu	NOUN
ejpam-6632	163	5	*	*	PUNCT
ejpam-6632	163	6	(	(	PUNCT
ejpam-6632	163	7	l_channel	l_channel	NOUN
ejpam-6632	163	8	local_mean	local_mean	ADJ
ejpam-6632	163	9	)	)	PUNCT
ejpam-6632	163	10	enhanced_l_channel	enhanced_l_channel	NOUN
ejpam-6632	164	1	=	=	SYM
ejpam-6632	164	2	np.clip(enhanced_l_channel	np.clip(enhanced_l_channel	PROPN
ejpam-6632	164	3	,	,	PUNCT
ejpam-6632	164	4	0	0	NUM
ejpam-6632	164	5	,	,	PUNCT
ejpam-6632	164	6	255).astype(np.uint8	255).astype(np.uint8	NUM
ejpam-6632	164	7	)	)	PUNCT
ejpam-6632	164	8	enhanced_lab_image	enhanced_lab_image	NOUN
ejpam-6632	164	9	=	=	SYM
ejpam-6632	164	10	cv2.merge((enhanced_l_channel	cv2.merge((enhanced_l_channel	PROPN
ejpam-6632	164	11	,	,	PUNCT
ejpam-6632	164	12	a	a	DET
ejpam-6632	164	13	,	,	PUNCT
ejpam-6632	164	14	b	b	NOUN
ejpam-6632	164	15	)	)	PUNCT
ejpam-6632	164	16	)	)	PUNCT
ejpam-6632	164	17	return	return	NOUN
ejpam-6632	164	18	cv2.cvtcolor(enhanced_lab_image	cv2.cvtcolor(enhanced_lab_image	NOUN
ejpam-6632	164	19	,	,	PUNCT
ejpam-6632	164	20	cv2.color_lab2rgb	cv2.color_lab2rgb	PROPN
ejpam-6632	164	21	)	)	PUNCT
ejpam-6632	164	22	enhanced_image_fekete	enhanced_image_fekete	NOUN
ejpam-6632	165	1	=	=	PUNCT
ejpam-6632	165	2	fekete_szego_contrast(input_image	fekete_szego_contrast(input_image	NOUN
ejpam-6632	165	3	)	)	PUNCT
ejpam-6632	165	4	#	#	NOUN
ejpam-6632	165	5	step	step	NOUN
ejpam-6632	165	6	3	3	NUM
ejpam-6632	165	7	:	:	PUNCT
ejpam-6632	165	8	combine	combine	VERB
ejpam-6632	165	9	edge	edge	NOUN
ejpam-6632	165	10	+	+	CCONJ
ejpam-6632	165	11	contrast	contrast	VERB
ejpam-6632	165	12	sakaguchi_edges_rgb	sakaguchi_edges_rgb	PROPN
ejpam-6632	165	13	=	=	SYM
ejpam-6632	165	14	cv2.cvtcolor(sakaguchi_edges.astype(np.uint8	cv2.cvtcolor(sakaguchi_edges.astype(np.uint8	PROPN
ejpam-6632	165	15	)	)	PUNCT
ejpam-6632	165	16	,	,	PUNCT
ejpam-6632	165	17	cv2.color_gray2rgb	cv2.color_gray2rgb	PROPN
ejpam-6632	165	18	)	)	PUNCT
ejpam-6632	165	19	combined_image	combined_image	NOUN
ejpam-6632	165	20	=	=	SYM
ejpam-6632	165	21	cv2.addweighted(enhanced_image_fekete	cv2.addweighted(enhanced_image_fekete	NOUN
ejpam-6632	165	22	,	,	PUNCT
ejpam-6632	165	23	0.8	0.8	NUM
ejpam-6632	165	24	,	,	PUNCT
ejpam-6632	165	25	sakaguchi_edges_rgb	sakaguchi_edges_rgb	PROPN
ejpam-6632	165	26	,	,	PUNCT
ejpam-6632	165	27	0.2	0.2	NUM
ejpam-6632	165	28	,	,	PUNCT
ejpam-6632	165	29	0	0	NUM
ejpam-6632	165	30	)	)	PUNCT
ejpam-6632	165	31	#	#	NOUN
ejpam-6632	165	32	step	step	NOUN
ejpam-6632	165	33	4	4	NUM
ejpam-6632	165	34	:	:	PUNCT
ejpam-6632	165	35	sharpening	sharpen	VERB
ejpam-6632	165	36	+	+	CCONJ
ejpam-6632	165	37	bilateral	bilateral	ADJ
ejpam-6632	165	38	filter	filter	NOUN
ejpam-6632	165	39	kernel	kernel	NOUN
ejpam-6632	165	40	=	=	SYM
ejpam-6632	165	41	np.array([[0	np.array([[0	PROPN
ejpam-6632	165	42	,	,	PUNCT
ejpam-6632	165	43	-1	-1	X
ejpam-6632	165	44	,	,	PUNCT
ejpam-6632	165	45	0	0	NUM
ejpam-6632	165	46	]	]	PUNCT
ejpam-6632	165	47	,	,	PUNCT
ejpam-6632	165	48	[	[	X
ejpam-6632	165	49	-1	-1	X
ejpam-6632	165	50	,	,	PUNCT
ejpam-6632	165	51	5,-1	5,-1	NUM
ejpam-6632	165	52	]	]	PUNCT
ejpam-6632	165	53	,	,	PUNCT
ejpam-6632	165	54	[	[	X
ejpam-6632	165	55	0	0	NUM
ejpam-6632	165	56	,	,	PUNCT
ejpam-6632	165	57	-1	-1	ADJ
ejpam-6632	165	58	,	,	PUNCT
ejpam-6632	165	59	0	0	NUM
ejpam-6632	165	60	]	]	SYM
ejpam-6632	165	61	]	]	PUNCT
ejpam-6632	165	62	)	)	PUNCT
ejpam-6632	165	63	sharpened_image	sharpened_image	NOUN
ejpam-6632	165	64	=	=	SYM
ejpam-6632	165	65	cv2.filter2d(combined_image	cv2.filter2d(combined_image	NOUN
ejpam-6632	165	66	,	,	PUNCT
ejpam-6632	165	67	-1	-1	INTJ
ejpam-6632	165	68	,	,	PUNCT
ejpam-6632	165	69	kernel	kernel	PROPN
ejpam-6632	165	70	)	)	PUNCT
ejpam-6632	165	71	final_enhanced_image	final_enhanced_image	NOUN
ejpam-6632	166	1	=	=	SYM
ejpam-6632	166	2	cv2.bilateralfilter(sharpened_image	cv2.bilateralfilter(sharpened_image	PROPN
ejpam-6632	166	3	,	,	PUNCT
ejpam-6632	166	4	d=9	d=9	PROPN
ejpam-6632	166	5	,	,	PUNCT
ejpam-6632	166	6	sigmacolor=75	sigmacolor=75	PROPN
ejpam-6632	166	7	,	,	PUNCT
ejpam-6632	166	8	sigmaspace=7	sigmaspace=7	ADJ
ejpam-6632	166	9	)	)	PUNCT
ejpam-6632	166	10	#	#	NOUN
ejpam-6632	166	11	classical	classical	ADJ
ejpam-6632	166	12	edge	edge	NOUN
ejpam-6632	166	13	detectors	detector	NOUN
ejpam-6632	166	14	sobel_edges	sobel_edge	NOUN
ejpam-6632	166	15	=	=	PUNCT
ejpam-6632	166	16	cv2.sobel(input_image_gray	cv2.sobel(input_image_gray	X
ejpam-6632	166	17	,	,	PUNCT
ejpam-6632	166	18	cv2.cv_64f	cv2.cv_64f	PROPN
ejpam-6632	166	19	,	,	PUNCT
ejpam-6632	166	20	1	1	NUM
ejpam-6632	166	21	,	,	PUNCT
ejpam-6632	166	22	1	1	NUM
ejpam-6632	166	23	,	,	PUNCT
ejpam-6632	166	24	ksize=3	ksize=3	PROPN
ejpam-6632	166	25	)	)	PUNCT
ejpam-6632	166	26	sobel_edges	sobel_edge	VERB
ejpam-6632	166	27	=	=	PUNCT
ejpam-6632	166	28	cv2.convertscaleabs(sobel_edges	cv2.convertscaleabs(sobel_edge	NOUN
ejpam-6632	166	29	)	)	PUNCT
ejpam-6632	166	30	canny_edges	canny_edge	NOUN
ejpam-6632	167	1	=	=	NOUN
ejpam-6632	167	2	cv2.canny(input_image_gray	cv2.canny(input_image_gray	NOUN
ejpam-6632	167	3	,	,	PUNCT
ejpam-6632	167	4	100	100	NUM
ejpam-6632	167	5	,	,	PUNCT
ejpam-6632	167	6	200	200	NUM
ejpam-6632	167	7	)	)	PUNCT
ejpam-6632	167	8	laplacian_edges	laplacian_edge	NOUN
ejpam-6632	168	1	=	=	SYM
ejpam-6632	168	2	cv2.convertscaleabs(cv2.laplacian(input_image_gray	cv2.convertscaleabs(cv2.laplacian(input_image_gray	PROPN
ejpam-6632	168	3	,	,	PUNCT
ejpam-6632	168	4	cv2.cv_64f	cv2.cv_64f	PROPN
ejpam-6632	168	5	)	)	PUNCT
ejpam-6632	168	6	)	)	PUNCT
ejpam-6632	168	7	#	#	NOUN
ejpam-6632	168	8	metrics	metric	NOUN
ejpam-6632	168	9	(	(	PUNCT
ejpam-6632	168	10	psnr	psnr	NOUN
ejpam-6632	168	11	,	,	PUNCT
ejpam-6632	168	12	ssim	ssim	NOUN
ejpam-6632	168	13	)	)	PUNCT
ejpam-6632	168	14	def	def	PROPN
ejpam-6632	168	15	compute_metrics(original	compute_metrics(original	PROPN
ejpam-6632	168	16	,	,	PUNCT
ejpam-6632	168	17	processed	process	VERB
ejpam-6632	168	18	):	):	PUNCT
ejpam-6632	168	19	return	return	NOUN
ejpam-6632	168	20	psnr(original	psnr(original	PROPN
ejpam-6632	168	21	,	,	PUNCT
ejpam-6632	168	22	processed	process	VERB
ejpam-6632	168	23	)	)	PUNCT
ejpam-6632	168	24	,	,	PUNCT
ejpam-6632	168	25	ssim(original	ssim(original	PROPN
ejpam-6632	168	26	,	,	PUNCT
ejpam-6632	168	27	processed	process	VERB
ejpam-6632	168	28	)	)	PUNCT
ejpam-6632	168	29	r.	r.	PROPN
ejpam-6632	168	30	kamali	kamali	PROPN
ejpam-6632	168	31	et	et	PROPN
ejpam-6632	168	32	al	al	PROPN
ejpam-6632	168	33	.	.	PUNCT
ejpam-6632	168	34	/	/	SYM
ejpam-6632	168	35	eur	eur	PROPN
ejpam-6632	168	36	.	.	PUNCT
ejpam-6632	169	1	j.	j.	PROPN
ejpam-6632	169	2	pure	pure	PROPN
ejpam-6632	169	3	appl	appl	PROPN
ejpam-6632	169	4	.	.	PROPN
ejpam-6632	169	5	math	math	PROPN
ejpam-6632	169	6	,	,	PUNCT
ejpam-6632	169	7	18	18	NUM
ejpam-6632	169	8	(	(	PUNCT
ejpam-6632	169	9	4	4	NUM
ejpam-6632	169	10	)	)	PUNCT
ejpam-6632	169	11	(	(	PUNCT
ejpam-6632	169	12	2025	2025	NUM
ejpam-6632	169	13	)	)	PUNCT
ejpam-6632	169	14	,	,	PUNCT
ejpam-6632	169	15	6632	6632	NUM
ejpam-6632	169	16	10	10	NUM
ejpam-6632	169	17	of	of	ADP
ejpam-6632	169	18	19	19	NUM
ejpam-6632	169	19	psnr_sobel	psnr_sobel	NOUN
ejpam-6632	169	20	,	,	PUNCT
ejpam-6632	169	21	ssim_sobel	ssim_sobel	PROPN
ejpam-6632	169	22	=	=	SYM
ejpam-6632	169	23	compute_metrics(input_image_gray	compute_metrics(input_image_gray	PROPN
ejpam-6632	169	24	,	,	PUNCT
ejpam-6632	169	25	sobel_edges	sobel_edge	NOUN
ejpam-6632	169	26	)	)	PUNCT
ejpam-6632	169	27	psnr_canny	psnr_canny	ADJ
ejpam-6632	169	28	,	,	PUNCT
ejpam-6632	169	29	ssim_canny	ssim_canny	NOUN
ejpam-6632	169	30	=	=	SYM
ejpam-6632	169	31	compute_metrics(input_image_gray	compute_metrics(input_image_gray	PROPN
ejpam-6632	169	32	,	,	PUNCT
ejpam-6632	169	33	canny_edges	canny_edge	NOUN
ejpam-6632	169	34	)	)	PUNCT
ejpam-6632	169	35	psnr_laplacian	psnr_laplacian	ADJ
ejpam-6632	169	36	,	,	PUNCT
ejpam-6632	169	37	ssim_laplacian	ssim_laplacian	ADJ
ejpam-6632	169	38	=	=	SYM
ejpam-6632	169	39	compute_metrics(input_image_gray	compute_metrics(input_image_gray	PROPN
ejpam-6632	169	40	,	,	PUNCT
ejpam-6632	169	41	laplacian_edges	laplacian_edge	NOUN
ejpam-6632	169	42	)	)	PUNCT
ejpam-6632	169	43	psnr_final	psnr_final	ADJ
ejpam-6632	169	44	,	,	PUNCT
ejpam-6632	169	45	ssim_final	ssim_final	PROPN
ejpam-6632	169	46	=	=	SYM
ejpam-6632	169	47	compute_metrics(input_image_gray	compute_metrics(input_image_gray	PROPN
ejpam-6632	169	48	,	,	PUNCT
ejpam-6632	169	49	cv2.cvtcolor(final_enhanced_image	cv2.cvtcolor(final_enhanced_image	NOUN
ejpam-6632	169	50	,	,	PUNCT
ejpam-6632	169	51	cv2.color_rgb2gray	cv2.color_rgb2gray	NOUN
ejpam-6632	169	52	)	)	PUNCT
ejpam-6632	169	53	)	)	PUNCT
ejpam-6632	170	1	#	#	NOUN
ejpam-6632	170	2	display	display	NOUN
ejpam-6632	170	3	results	result	NOUN
ejpam-6632	170	4	plt.figure(figsize=(16	plt.figure(figsize=(16	NOUN
ejpam-6632	170	5	,	,	PUNCT
ejpam-6632	170	6	10	10	NUM
ejpam-6632	170	7	)	)	PUNCT
ejpam-6632	170	8	)	)	PUNCT
ejpam-6632	170	9	plt.subplot(2	plt.subplot(2	NOUN
ejpam-6632	170	10	,	,	PUNCT
ejpam-6632	170	11	3	3	NUM
ejpam-6632	170	12	,	,	PUNCT
ejpam-6632	170	13	1	1	NUM
ejpam-6632	170	14	)	)	PUNCT
ejpam-6632	170	15	;	;	PUNCT
ejpam-6632	170	16	plt.imshow(input_image_rgb	plt.imshow(input_image_rgb	PROPN
ejpam-6632	170	17	)	)	PUNCT
ejpam-6632	170	18	;	;	PUNCT
ejpam-6632	170	19	plt.title("original	plt.title("original	ADJ
ejpam-6632	170	20	image	image	NOUN
ejpam-6632	170	21	"	"	PUNCT
ejpam-6632	170	22	)	)	PUNCT
ejpam-6632	170	23	;	;	PUNCT
ejpam-6632	170	24	plt.axis("off	plt.axis("off	X
ejpam-6632	170	25	"	"	PUNCT
ejpam-6632	170	26	)	)	PUNCT
ejpam-6632	170	27	plt.subplot(2	plt.subplot(2	NOUN
ejpam-6632	170	28	,	,	PUNCT
ejpam-6632	170	29	3	3	NUM
ejpam-6632	170	30	,	,	PUNCT
ejpam-6632	170	31	2	2	NUM
ejpam-6632	170	32	)	)	PUNCT
ejpam-6632	170	33	;	;	PUNCT
ejpam-6632	170	34	plt.imshow(sakaguchi_edges	plt.imshow(sakaguchi_edge	NOUN
ejpam-6632	170	35	,	,	PUNCT
ejpam-6632	170	36	cmap="gray	cmap="gray	NOUN
ejpam-6632	170	37	"	"	PUNCT
ejpam-6632	170	38	)	)	PUNCT
ejpam-6632	170	39	;	;	PUNCT
ejpam-6632	170	40	plt.title("sakaguchi	plt.title("sakaguchi	PROPN
ejpam-6632	170	41	edge	edge	NOUN
ejpam-6632	170	42	"	"	PUNCT
ejpam-6632	170	43	)	)	PUNCT
ejpam-6632	170	44	;	;	PUNCT
ejpam-6632	170	45	plt	plt	NOUN
ejpam-6632	170	46	.axis("off	.axis("off	NOUN
ejpam-6632	170	47	"	"	PUNCT
ejpam-6632	170	48	)	)	PUNCT
ejpam-6632	170	49	plt.subplot(2	plt.subplot(2	NOUN
ejpam-6632	170	50	,	,	PUNCT
ejpam-6632	170	51	3	3	NUM
ejpam-6632	170	52	,	,	PUNCT
ejpam-6632	170	53	3	3	NUM
ejpam-6632	170	54	)	)	PUNCT
ejpam-6632	170	55	;	;	PUNCT
ejpam-6632	170	56	plt.imshow(enhanced_image_fekete	plt.imshow(enhanced_image_fekete	ADJ
ejpam-6632	170	57	)	)	PUNCT
ejpam-6632	170	58	;	;	PUNCT
ejpam-6632	170	59	plt.title("fekete	plt.title("fekete	X
ejpam-6632	170	60	-	-	PUNCT
ejpam-6632	170	61	szegö	szegö	NOUN
ejpam-6632	170	62	contrast	contrast	NOUN
ejpam-6632	170	63	"	"	PUNCT
ejpam-6632	170	64	)	)	PUNCT
ejpam-6632	170	65	;	;	PUNCT
ejpam-6632	170	66	plt	plt	NOUN
ejpam-6632	170	67	.axis("off	.axis("off	NOUN
ejpam-6632	170	68	"	"	PUNCT
ejpam-6632	170	69	)	)	PUNCT
ejpam-6632	170	70	plt.subplot(2	plt.subplot(2	NOUN
ejpam-6632	170	71	,	,	PUNCT
ejpam-6632	170	72	3	3	NUM
ejpam-6632	170	73	,	,	PUNCT
ejpam-6632	170	74	4	4	NUM
ejpam-6632	170	75	)	)	PUNCT
ejpam-6632	170	76	;	;	PUNCT
ejpam-6632	170	77	plt.imshow(combined_image	plt.imshow(combined_image	NOUN
ejpam-6632	170	78	)	)	PUNCT
ejpam-6632	170	79	;	;	PUNCT
ejpam-6632	170	80	plt.title("combined	plt.title("combined	PROPN
ejpam-6632	170	81	edge+contrast	edge+contrast	PROPN
ejpam-6632	170	82	"	"	PUNCT
ejpam-6632	170	83	)	)	PUNCT
ejpam-6632	170	84	;	;	PUNCT
ejpam-6632	170	85	plt.axis	plt.axis	X
ejpam-6632	170	86	(	(	PUNCT
ejpam-6632	170	87	"	"	PUNCT
ejpam-6632	170	88	off	off	ADP
ejpam-6632	170	89	"	"	PUNCT
ejpam-6632	170	90	)	)	PUNCT
ejpam-6632	170	91	plt.subplot(2	plt.subplot(2	NOUN
ejpam-6632	170	92	,	,	PUNCT
ejpam-6632	170	93	3	3	NUM
ejpam-6632	170	94	,	,	PUNCT
ejpam-6632	170	95	5	5	NUM
ejpam-6632	170	96	)	)	PUNCT
ejpam-6632	170	97	;	;	PUNCT
ejpam-6632	170	98	plt.imshow(sharpened_image	plt.imshow(sharpened_image	NOUN
ejpam-6632	170	99	)	)	PUNCT
ejpam-6632	170	100	;	;	PUNCT
ejpam-6632	170	101	plt.title("sharpened	plt.title("sharpene	VERB
ejpam-6632	170	102	"	"	PUNCT
ejpam-6632	170	103	)	)	PUNCT
ejpam-6632	170	104	;	;	PUNCT
ejpam-6632	170	105	plt.axis("off	plt.axis("off	X
ejpam-6632	170	106	"	"	PUNCT
ejpam-6632	170	107	)	)	PUNCT
ejpam-6632	170	108	plt.subplot(2	plt.subplot(2	NOUN
ejpam-6632	170	109	,	,	PUNCT
ejpam-6632	170	110	3	3	NUM
ejpam-6632	170	111	,	,	PUNCT
ejpam-6632	170	112	6	6	NUM
ejpam-6632	170	113	)	)	PUNCT
ejpam-6632	170	114	;	;	PUNCT
ejpam-6632	170	115	plt.imshow(final_enhanced_image	plt.imshow(final_enhanced_image	PROPN
ejpam-6632	170	116	)	)	PUNCT
ejpam-6632	170	117	;	;	PUNCT
ejpam-6632	170	118	plt.title("final	plt.title("final	PROPN
ejpam-6632	170	119	enhanced	enhance	VERB
ejpam-6632	170	120	"	"	PUNCT
ejpam-6632	170	121	)	)	PUNCT
ejpam-6632	170	122	;	;	PUNCT
ejpam-6632	170	123	plt.axis	plt.axis	X
ejpam-6632	170	124	(	(	PUNCT
ejpam-6632	170	125	"	"	PUNCT
ejpam-6632	170	126	off	off	ADP
ejpam-6632	170	127	"	"	PUNCT
ejpam-6632	170	128	)	)	PUNCT
ejpam-6632	170	129	plt.tight_layout	plt.tight_layout	NUM
ejpam-6632	170	130	(	(	PUNCT
ejpam-6632	170	131	)	)	PUNCT
ejpam-6632	170	132	plt.show	plt.show	PRON
ejpam-6632	170	133	(	(	PUNCT
ejpam-6632	170	134	)	)	PUNCT
ejpam-6632	170	135	plt.figure(figsize=(15,5	plt.figure(figsize=(15,5	PROPN
ejpam-6632	170	136	)	)	PUNCT
ejpam-6632	170	137	)	)	PUNCT
ejpam-6632	170	138	titles	title	NOUN
ejpam-6632	170	139	=	=	PUNCT
ejpam-6632	171	1	[	[	X
ejpam-6632	171	2	'	'	PUNCT
ejpam-6632	171	3	original	original	ADJ
ejpam-6632	171	4	'	'	PUNCT
ejpam-6632	171	5	,	,	PUNCT
ejpam-6632	171	6	'	'	PUNCT
ejpam-6632	171	7	sobel	sobel	NOUN
ejpam-6632	171	8	'	'	PUNCT
ejpam-6632	171	9	,	,	PUNCT
ejpam-6632	171	10	'	'	PUNCT
ejpam-6632	171	11	canny	canny	ADJ
ejpam-6632	171	12	'	'	PUNCT
ejpam-6632	171	13	,	,	PUNCT
ejpam-6632	171	14	'	'	PUNCT
ejpam-6632	171	15	laplacian	laplacian	ADJ
ejpam-6632	171	16	'	'	PUNCT
ejpam-6632	171	17	,	,	PUNCT
ejpam-6632	171	18	'	'	PUNCT
ejpam-6632	171	19	final	final	ADJ
ejpam-6632	171	20	enhanced	enhanced	ADJ
ejpam-6632	171	21	'	'	PUNCT
ejpam-6632	171	22	]	]	PUNCT
ejpam-6632	171	23	images	image	NOUN
ejpam-6632	171	24	=	=	PUNCT
ejpam-6632	172	1	[	[	X
ejpam-6632	172	2	input_image_gray	input_image_gray	X
ejpam-6632	172	3	,	,	PUNCT
ejpam-6632	172	4	sobel_edges	sobel_edge	NOUN
ejpam-6632	172	5	,	,	PUNCT
ejpam-6632	172	6	canny_edges	canny_edge	NOUN
ejpam-6632	172	7	,	,	PUNCT
ejpam-6632	172	8	laplacian_edges	laplacian_edge	NOUN
ejpam-6632	172	9	,	,	PUNCT
ejpam-6632	172	10	cv2.cvtcolor	cv2.cvtcolor	PROPN
ejpam-6632	172	11	(	(	PUNCT
ejpam-6632	172	12	final_enhanced_image	final_enhanced_image	PROPN
ejpam-6632	172	13	,	,	PUNCT
ejpam-6632	172	14	cv2.color_rgb2gray	cv2.color_rgb2gray	NOUN
ejpam-6632	172	15	)	)	PUNCT
ejpam-6632	172	16	]	]	PUNCT
ejpam-6632	172	17	for	for	ADP
ejpam-6632	172	18	i	i	PRON
ejpam-6632	172	19	in	in	ADP
ejpam-6632	172	20	range(5	range(5	NOUN
ejpam-6632	172	21	):	):	PUNCT
ejpam-6632	172	22	plt.subplot(1	plt.subplot(1	NOUN
ejpam-6632	172	23	,	,	PUNCT
ejpam-6632	172	24	5	5	NUM
ejpam-6632	172	25	,	,	PUNCT
ejpam-6632	172	26	i+1	i+1	NUM
ejpam-6632	172	27	)	)	PUNCT
ejpam-6632	172	28	plt.imshow(images[i	plt.imshow(images[i	NOUN
ejpam-6632	172	29	]	]	PUNCT
ejpam-6632	172	30	,	,	PUNCT
ejpam-6632	172	31	cmap='gray	cmap='gray	ADP
ejpam-6632	172	32	'	'	PUNCT
ejpam-6632	172	33	)	)	PUNCT
ejpam-6632	172	34	plt.title(titles[i	plt.title(titles[i	ADV
ejpam-6632	172	35	]	]	PUNCT
ejpam-6632	172	36	)	)	PUNCT
ejpam-6632	172	37	plt.axis('off	plt.axis('off	ADP
ejpam-6632	172	38	'	'	PUNCT
ejpam-6632	172	39	)	)	PUNCT
ejpam-6632	172	40	plt.tight_layout	plt.tight_layout	NUM
ejpam-6632	172	41	(	(	PUNCT
ejpam-6632	172	42	)	)	PUNCT
ejpam-6632	172	43	plt.show	plt.show	PRON
ejpam-6632	172	44	(	(	PUNCT
ejpam-6632	172	45	)	)	PUNCT
ejpam-6632	172	46	#	#	NOUN
ejpam-6632	172	47	print	print	NOUN
ejpam-6632	172	48	metrics	metric	NOUN
ejpam-6632	172	49	print(f"sobel	print(f"sobel	NOUN
ejpam-6632	172	50	:	:	PUNCT
ejpam-6632	172	51	psnr={psnr_sobel:.2f	psnr={psnr_sobel:.2f	PROPN
ejpam-6632	172	52	}	}	PUNCT
ejpam-6632	172	53	,	,	PUNCT
ejpam-6632	172	54	ssim={ssim_sobel:.3f	ssim={ssim_sobel:.3f	PROPN
ejpam-6632	172	55	}	}	PUNCT
ejpam-6632	172	56	"	"	PUNCT
ejpam-6632	172	57	)	)	PUNCT
ejpam-6632	172	58	print(f"canny	print(f"canny	NOUN
ejpam-6632	172	59	:	:	PUNCT
ejpam-6632	172	60	psnr={psnr_canny:.2f	psnr={psnr_canny:.2f	PROPN
ejpam-6632	172	61	}	}	PUNCT
ejpam-6632	172	62	,	,	PUNCT
ejpam-6632	172	63	ssim={ssim_canny:.3f	ssim={ssim_canny:.3f	PROPN
ejpam-6632	172	64	}	}	PUNCT
ejpam-6632	172	65	"	"	PUNCT
ejpam-6632	172	66	)	)	PUNCT
ejpam-6632	172	67	print(f"laplacian	print(f"laplacian	ADJ
ejpam-6632	172	68	:	:	PUNCT
ejpam-6632	172	69	psnr={psnr_laplacian:.2f	psnr={psnr_laplacian:.2f	PROPN
ejpam-6632	172	70	}	}	PUNCT
ejpam-6632	172	71	,	,	PUNCT
ejpam-6632	172	72	ssim={ssim_laplacian:.3f	ssim={ssim_laplacian:.3f	PROPN
ejpam-6632	172	73	}	}	PUNCT
ejpam-6632	172	74	"	"	PUNCT
ejpam-6632	172	75	)	)	PUNCT
ejpam-6632	172	76	print(f"final	print(f"final	NOUN
ejpam-6632	172	77	enhanced	enhance	VERB
ejpam-6632	172	78	:	:	PUNCT
ejpam-6632	172	79	psnr={psnr_final:.2f	psnr={psnr_final:.2f	PROPN
ejpam-6632	172	80	}	}	PUNCT
ejpam-6632	172	81	,	,	PUNCT
ejpam-6632	172	82	ssim={ssim_final:.3f	ssim={ssim_final:.3f	PROPN
ejpam-6632	172	83	}	}	PUNCT
ejpam-6632	172	84	"	"	PUNCT
ejpam-6632	172	85	)	)	PUNCT
ejpam-6632	172	86	7	7	X
ejpam-6632	172	87	.	.	NOUN
ejpam-6632	172	88	significance	significance	NOUN
ejpam-6632	172	89	the	the	DET
ejpam-6632	172	90	coefficient	coefficient	NOUN
ejpam-6632	172	91	estimates	estimate	NOUN
ejpam-6632	172	92	for	for	ADP
ejpam-6632	172	93	classes	class	NOUN
ejpam-6632	172	94	of	of	ADP
ejpam-6632	172	95	quasi	quasi	NOUN
ejpam-6632	172	96	-	-	NOUN
ejpam-6632	172	97	subordination	subordination	NOUN
ejpam-6632	172	98	have	have	AUX
ejpam-6632	172	99	been	be	AUX
ejpam-6632	172	100	extensively	extensively	ADV
ejpam-6632	172	101	studied	study	VERB
ejpam-6632	172	102	in	in	ADP
ejpam-6632	172	103	geometric	geometric	ADJ
ejpam-6632	172	104	function	function	NOUN
ejpam-6632	172	105	theory	theory	NOUN
ejpam-6632	172	106	,	,	PUNCT
ejpam-6632	172	107	their	their	PRON
ejpam-6632	172	108	potential	potential	ADJ
ejpam-6632	172	109	applications	application	NOUN
ejpam-6632	172	110	in	in	ADP
ejpam-6632	172	111	computational	computational	ADJ
ejpam-6632	172	112	imaging	imaging	NOUN
ejpam-6632	172	113	remain	remain	VERB
ejpam-6632	172	114	largely	largely	ADV
ejpam-6632	172	115	unexplored	unexplored	ADJ
ejpam-6632	172	116	.	.	PUNCT
ejpam-6632	173	1	existing	exist	VERB
ejpam-6632	173	2	edge	edge	NOUN
ejpam-6632	173	3	detection	detection	NOUN
ejpam-6632	173	4	techniques	technique	NOUN
ejpam-6632	173	5	in	in	ADP
ejpam-6632	173	6	image	image	NOUN
ejpam-6632	173	7	processing	processing	NOUN
ejpam-6632	173	8	are	be	AUX
ejpam-6632	173	9	predominantly	predominantly	ADV
ejpam-6632	173	10	algorithmic	algorithmic	ADJ
ejpam-6632	173	11	and	and	CCONJ
ejpam-6632	173	12	heuristic	heuristic	ADJ
ejpam-6632	173	13	in	in	ADP
ejpam-6632	173	14	nature	nature	NOUN
ejpam-6632	173	15	,	,	PUNCT
ejpam-6632	173	16	with	with	ADP
ejpam-6632	173	17	limited	limited	ADJ
ejpam-6632	173	18	incorporation	incorporation	NOUN
ejpam-6632	173	19	of	of	ADP
ejpam-6632	173	20	rigorous	rigorous	ADJ
ejpam-6632	173	21	mathematical	mathematical	ADJ
ejpam-6632	173	22	frameworks	framework	NOUN
ejpam-6632	173	23	.	.	PUNCT
ejpam-6632	174	1	this	this	DET
ejpam-6632	174	2	gap	gap	NOUN
ejpam-6632	174	3	highlights	highlight	VERB
ejpam-6632	174	4	the	the	DET
ejpam-6632	174	5	absence	absence	NOUN
ejpam-6632	174	6	of	of	ADP
ejpam-6632	174	7	methods	method	NOUN
ejpam-6632	174	8	that	that	PRON
ejpam-6632	174	9	systematically	systematically	ADV
ejpam-6632	174	10	integrate	integrate	VERB
ejpam-6632	174	11	analytic	analytic	ADJ
ejpam-6632	174	12	function	function	NOUN
ejpam-6632	174	13	theory	theory	NOUN
ejpam-6632	174	14	with	with	ADP
ejpam-6632	174	15	practical	practical	ADJ
ejpam-6632	174	16	image	image	NOUN
ejpam-6632	174	17	enhancement	enhancement	NOUN
ejpam-6632	174	18	.	.	PUNCT
ejpam-6632	175	1	the	the	DET
ejpam-6632	175	2	present	present	ADJ
ejpam-6632	175	3	study	study	NOUN
ejpam-6632	175	4	addresses	address	NOUN
ejpam-6632	175	5	this	this	DET
ejpam-6632	175	6	limitation	limitation	NOUN
ejpam-6632	175	7	by	by	ADP
ejpam-6632	175	8	applying	apply	VERB
ejpam-6632	175	9	sakaguchi	sakaguchi	ADJ
ejpam-6632	175	10	-	-	PUNCT
ejpam-6632	175	11	inspired	inspire	VERB
ejpam-6632	175	12	starlikeness	starlikeness	ADJ
ejpam-6632	175	13	principles	principle	NOUN
ejpam-6632	175	14	and	and	CCONJ
ejpam-6632	175	15	fekete	fekete	PROPN
ejpam-6632	175	16	–	–	PUNCT
ejpam-6632	175	17	szegö	szegö	ADJ
ejpam-6632	175	18	coefficient	coefficient	NOUN
ejpam-6632	175	19	functionals	functional	NOUN
ejpam-6632	175	20	within	within	ADP
ejpam-6632	175	21	a	a	DET
ejpam-6632	175	22	python	python	NOUN
ejpam-6632	175	23	-	-	PUNCT
ejpam-6632	175	24	based	base	VERB
ejpam-6632	175	25	edge	edge	NOUN
ejpam-6632	175	26	detection	detection	NOUN
ejpam-6632	175	27	framework	framework	NOUN
ejpam-6632	175	28	.	.	PUNCT
ejpam-6632	176	1	the	the	DET
ejpam-6632	176	2	proposed	propose	VERB
ejpam-6632	176	3	approach	approach	NOUN
ejpam-6632	176	4	improves	improve	VERB
ejpam-6632	176	5	edge	edge	NOUN
ejpam-6632	176	6	sharpness	sharpness	NOUN
ejpam-6632	176	7	and	and	CCONJ
ejpam-6632	176	8	boundary	boundary	ADJ
ejpam-6632	176	9	clarity	clarity	NOUN
ejpam-6632	176	10	while	while	SCONJ
ejpam-6632	176	11	reducing	reduce	VERB
ejpam-6632	176	12	noise	noise	NOUN
ejpam-6632	176	13	,	,	PUNCT
ejpam-6632	176	14	thereby	thereby	ADV
ejpam-6632	176	15	demonstrating	demonstrate	VERB
ejpam-6632	176	16	the	the	DET
ejpam-6632	176	17	relevance	relevance	NOUN
ejpam-6632	176	18	of	of	ADP
ejpam-6632	176	19	abstract	abstract	ADJ
ejpam-6632	176	20	coefficient	coefficient	NOUN
ejpam-6632	176	21	problems	problem	NOUN
ejpam-6632	176	22	to	to	ADP
ejpam-6632	176	23	real	real	ADJ
ejpam-6632	176	24	-	-	PUNCT
ejpam-6632	176	25	world	world	NOUN
ejpam-6632	176	26	image	image	NOUN
ejpam-6632	176	27	analysis	analysis	NOUN
ejpam-6632	176	28	.	.	PUNCT
ejpam-6632	177	1	this	this	PRON
ejpam-6632	177	2	not	not	PART
ejpam-6632	177	3	only	only	ADV
ejpam-6632	177	4	strengthens	strengthen	VERB
ejpam-6632	177	5	the	the	DET
ejpam-6632	177	6	interdisciplinary	interdisciplinary	ADJ
ejpam-6632	177	7	bridge	bridge	NOUN
ejpam-6632	177	8	between	between	ADP
ejpam-6632	177	9	mathematics	mathematic	NOUN
ejpam-6632	177	10	and	and	CCONJ
ejpam-6632	177	11	computer	computer	NOUN
ejpam-6632	177	12	vision	vision	NOUN
ejpam-6632	177	13	but	but	CCONJ
ejpam-6632	177	14	also	also	ADV
ejpam-6632	177	15	sets	set	VERB
ejpam-6632	177	16	a	a	DET
ejpam-6632	177	17	foundation	foundation	NOUN
ejpam-6632	177	18	for	for	ADP
ejpam-6632	177	19	future	future	ADJ
ejpam-6632	177	20	explorations	exploration	NOUN
ejpam-6632	177	21	where	where	SCONJ
ejpam-6632	177	22	complex	complex	ADJ
ejpam-6632	177	23	function	function	NOUN
ejpam-6632	177	24	theory	theory	NOUN
ejpam-6632	177	25	can	can	AUX
ejpam-6632	177	26	contribute	contribute	VERB
ejpam-6632	177	27	directly	directly	ADV
ejpam-6632	177	28	to	to	ADP
ejpam-6632	177	29	advanced	advanced	ADJ
ejpam-6632	177	30	image	image	NOUN
ejpam-6632	177	31	processing	processing	NOUN
ejpam-6632	177	32	methodologies	methodology	NOUN
ejpam-6632	177	33	.	.	PUNCT
ejpam-6632	178	1	r.	r.	PROPN
ejpam-6632	178	2	kamali	kamali	PROPN
ejpam-6632	178	3	et	et	PROPN
ejpam-6632	178	4	al	al	PROPN
ejpam-6632	178	5	.	.	PUNCT
ejpam-6632	178	6	/	/	SYM
ejpam-6632	178	7	eur	eur	PROPN
ejpam-6632	178	8	.	.	PUNCT
ejpam-6632	179	1	j.	j.	PROPN
ejpam-6632	179	2	pure	pure	PROPN
ejpam-6632	179	3	appl	appl	PROPN
ejpam-6632	179	4	.	.	PROPN
ejpam-6632	179	5	math	math	PROPN
ejpam-6632	179	6	,	,	PUNCT
ejpam-6632	179	7	18	18	NUM
ejpam-6632	179	8	(	(	PUNCT
ejpam-6632	179	9	4	4	NUM
ejpam-6632	179	10	)	)	PUNCT
ejpam-6632	179	11	(	(	PUNCT
ejpam-6632	179	12	2025	2025	NUM
ejpam-6632	179	13	)	)	PUNCT
ejpam-6632	179	14	,	,	PUNCT
ejpam-6632	179	15	6632	6632	NUM
ejpam-6632	179	16	11	11	NUM
ejpam-6632	179	17	of	of	ADP
ejpam-6632	179	18	19	19	NUM
ejpam-6632	179	19	8	8	NUM
ejpam-6632	179	20	.	.	PUNCT
ejpam-6632	180	1	result	result	NOUN
ejpam-6632	180	2	and	and	CCONJ
ejpam-6632	180	3	discussion	discussion	NOUN
ejpam-6632	180	4	figure	figure	NOUN
ejpam-6632	180	5	1	1	NUM
ejpam-6632	180	6	:	:	PUNCT
ejpam-6632	180	7	original	original	ADJ
ejpam-6632	180	8	flower	flower	NOUN
ejpam-6632	180	9	image	image	NOUN
ejpam-6632	180	10	and	and	CCONJ
ejpam-6632	180	11	its	its	PRON
ejpam-6632	180	12	contrast	contrast	NOUN
ejpam-6632	180	13	-	-	PUNCT
ejpam-6632	180	14	enhanced	enhance	VERB
ejpam-6632	180	15	edge	edge	NOUN
ejpam-6632	180	16	detection	detection	NOUN
ejpam-6632	180	17	.	.	PUNCT
ejpam-6632	181	1	r.	r.	PROPN
ejpam-6632	181	2	kamali	kamali	PROPN
ejpam-6632	181	3	et	et	PROPN
ejpam-6632	181	4	al	al	PROPN
ejpam-6632	181	5	.	.	PUNCT
ejpam-6632	181	6	/	/	SYM
ejpam-6632	181	7	eur	eur	PROPN
ejpam-6632	181	8	.	.	PUNCT
ejpam-6632	182	1	j.	j.	PROPN
ejpam-6632	182	2	pure	pure	PROPN
ejpam-6632	182	3	appl	appl	PROPN
ejpam-6632	182	4	.	.	PROPN
ejpam-6632	182	5	math	math	PROPN
ejpam-6632	182	6	,	,	PUNCT
ejpam-6632	182	7	18	18	NUM
ejpam-6632	182	8	(	(	PUNCT
ejpam-6632	182	9	4	4	NUM
ejpam-6632	182	10	)	)	PUNCT
ejpam-6632	182	11	(	(	PUNCT
ejpam-6632	182	12	2025	2025	NUM
ejpam-6632	182	13	)	)	PUNCT
ejpam-6632	182	14	,	,	PUNCT
ejpam-6632	182	15	6632	6632	NUM
ejpam-6632	182	16	12	12	NUM
ejpam-6632	182	17	of	of	ADP
ejpam-6632	182	18	19	19	NUM
ejpam-6632	182	19	figure	figure	NOUN
ejpam-6632	182	20	2	2	NUM
ejpam-6632	182	21	:	:	PUNCT
ejpam-6632	182	22	original	original	ADJ
ejpam-6632	182	23	horse	horse	NOUN
ejpam-6632	182	24	image	image	NOUN
ejpam-6632	182	25	and	and	CCONJ
ejpam-6632	182	26	its	its	PRON
ejpam-6632	182	27	contrast	contrast	NOUN
ejpam-6632	182	28	-	-	PUNCT
ejpam-6632	182	29	enhanced	enhance	VERB
ejpam-6632	182	30	edge	edge	NOUN
ejpam-6632	182	31	detection	detection	NOUN
ejpam-6632	182	32	.	.	PUNCT
ejpam-6632	183	1	r.	r.	PROPN
ejpam-6632	183	2	kamali	kamali	PROPN
ejpam-6632	183	3	et	et	PROPN
ejpam-6632	183	4	al	al	PROPN
ejpam-6632	183	5	.	.	PUNCT
ejpam-6632	183	6	/	/	SYM
ejpam-6632	183	7	eur	eur	PROPN
ejpam-6632	183	8	.	.	PUNCT
ejpam-6632	184	1	j.	j.	PROPN
ejpam-6632	184	2	pure	pure	PROPN
ejpam-6632	184	3	appl	appl	PROPN
ejpam-6632	184	4	.	.	PROPN
ejpam-6632	184	5	math	math	PROPN
ejpam-6632	184	6	,	,	PUNCT
ejpam-6632	184	7	18	18	NUM
ejpam-6632	184	8	(	(	PUNCT
ejpam-6632	184	9	4	4	NUM
ejpam-6632	184	10	)	)	PUNCT
ejpam-6632	184	11	(	(	PUNCT
ejpam-6632	184	12	2025	2025	NUM
ejpam-6632	184	13	)	)	PUNCT
ejpam-6632	184	14	,	,	PUNCT
ejpam-6632	184	15	6632	6632	NUM
ejpam-6632	184	16	13	13	NUM
ejpam-6632	184	17	of	of	ADP
ejpam-6632	184	18	19	19	NUM
ejpam-6632	184	19	figure	figure	NOUN
ejpam-6632	184	20	3	3	NUM
ejpam-6632	184	21	:	:	PUNCT
ejpam-6632	184	22	original	original	ADJ
ejpam-6632	184	23	leaf	leaf	NOUN
ejpam-6632	184	24	image	image	NOUN
ejpam-6632	184	25	and	and	CCONJ
ejpam-6632	184	26	its	its	PRON
ejpam-6632	184	27	contrast	contrast	NOUN
ejpam-6632	184	28	-	-	PUNCT
ejpam-6632	184	29	enhanced	enhance	VERB
ejpam-6632	184	30	edge	edge	NOUN
ejpam-6632	184	31	detection	detection	NOUN
ejpam-6632	184	32	.	.	PUNCT
ejpam-6632	185	1	r.	r.	PROPN
ejpam-6632	185	2	kamali	kamali	PROPN
ejpam-6632	185	3	et	et	PROPN
ejpam-6632	185	4	al	al	PROPN
ejpam-6632	185	5	.	.	PUNCT
ejpam-6632	185	6	/	/	SYM
ejpam-6632	185	7	eur	eur	PROPN
ejpam-6632	185	8	.	.	PUNCT
ejpam-6632	186	1	j.	j.	PROPN
ejpam-6632	186	2	pure	pure	PROPN
ejpam-6632	186	3	appl	appl	PROPN
ejpam-6632	186	4	.	.	PROPN
ejpam-6632	186	5	math	math	PROPN
ejpam-6632	186	6	,	,	PUNCT
ejpam-6632	186	7	18	18	NUM
ejpam-6632	186	8	(	(	PUNCT
ejpam-6632	186	9	4	4	NUM
ejpam-6632	186	10	)	)	PUNCT
ejpam-6632	186	11	(	(	PUNCT
ejpam-6632	186	12	2025	2025	NUM
ejpam-6632	186	13	)	)	PUNCT
ejpam-6632	186	14	,	,	PUNCT
ejpam-6632	186	15	6632	6632	NUM
ejpam-6632	186	16	14	14	NUM
ejpam-6632	186	17	of	of	ADP
ejpam-6632	186	18	19	19	NUM
ejpam-6632	186	19	original	original	ADJ
ejpam-6632	186	20	image	image	NOUN
ejpam-6632	186	21	figure	figure	NOUN
ejpam-6632	186	22	1	1	NUM
ejpam-6632	186	23	.	.	PUNCT
ejpam-6632	186	24	figure	figure	NOUN
ejpam-6632	186	25	2	2	NUM
ejpam-6632	186	26	.	.	PUNCT
ejpam-6632	186	27	figure	figure	NOUN
ejpam-6632	186	28	3	3	NUM
ejpam-6632	186	29	.	.	PUNCT
ejpam-6632	187	1	the	the	DET
ejpam-6632	187	2	original	original	ADJ
ejpam-6632	187	3	flower	flower	NOUN
ejpam-6632	187	4	image	image	NOUN
ejpam-6632	187	5	displays	display	VERB
ejpam-6632	187	6	petals	petal	NOUN
ejpam-6632	187	7	,	,	PUNCT
ejpam-6632	187	8	buds	bud	NOUN
ejpam-6632	187	9	,	,	PUNCT
ejpam-6632	187	10	and	and	CCONJ
ejpam-6632	187	11	leaves	leave	VERB
ejpam-6632	187	12	on	on	ADP
ejpam-6632	187	13	a	a	DET
ejpam-6632	187	14	black	black	ADJ
ejpam-6632	187	15	background	background	NOUN
ejpam-6632	187	16	,	,	PUNCT
ejpam-6632	187	17	which	which	PRON
ejpam-6632	187	18	will	will	AUX
ejpam-6632	187	19	be	be	AUX
ejpam-6632	187	20	enhanced	enhance	VERB
ejpam-6632	187	21	to	to	PART
ejpam-6632	187	22	make	make	VERB
ejpam-6632	187	23	details	detail	NOUN
ejpam-6632	187	24	more	more	ADV
ejpam-6632	187	25	distinct	distinct	ADJ
ejpam-6632	187	26	and	and	CCONJ
ejpam-6632	187	27	visually	visually	ADV
ejpam-6632	187	28	clear	clear	ADJ
ejpam-6632	187	29	.	.	PUNCT
ejpam-6632	188	1	the	the	DET
ejpam-6632	188	2	original	original	ADJ
ejpam-6632	188	3	horse	horse	NOUN
ejpam-6632	188	4	image	image	NOUN
ejpam-6632	188	5	shows	show	VERB
ejpam-6632	188	6	textures	texture	NOUN
ejpam-6632	188	7	,	,	PUNCT
ejpam-6632	188	8	shed	shed	VERB
ejpam-6632	188	9	,	,	PUNCT
ejpam-6632	188	10	and	and	CCONJ
ejpam-6632	188	11	grass	grass	NOUN
ejpam-6632	188	12	patterns	pattern	NOUN
ejpam-6632	188	13	against	against	ADP
ejpam-6632	188	14	a	a	DET
ejpam-6632	188	15	black	black	ADJ
ejpam-6632	188	16	background	background	NOUN
ejpam-6632	188	17	,	,	PUNCT
ejpam-6632	188	18	which	which	PRON
ejpam-6632	188	19	will	will	AUX
ejpam-6632	188	20	be	be	AUX
ejpam-6632	188	21	enhanced	enhance	VERB
ejpam-6632	188	22	to	to	PART
ejpam-6632	188	23	improve	improve	VERB
ejpam-6632	188	24	clarity	clarity	NOUN
ejpam-6632	188	25	and	and	CCONJ
ejpam-6632	188	26	feature	feature	NOUN
ejpam-6632	188	27	visibility	visibility	NOUN
ejpam-6632	188	28	.	.	PUNCT
ejpam-6632	189	1	the	the	DET
ejpam-6632	189	2	leaf	leaf	NOUN
ejpam-6632	189	3	’s	’s	PART
ejpam-6632	189	4	veins	vein	NOUN
ejpam-6632	189	5	and	and	CCONJ
ejpam-6632	189	6	surface	surface	NOUN
ejpam-6632	189	7	details	detail	NOUN
ejpam-6632	189	8	appear	appear	VERB
ejpam-6632	189	9	against	against	ADP
ejpam-6632	189	10	a	a	DET
ejpam-6632	189	11	black	black	ADJ
ejpam-6632	189	12	background	background	NOUN
ejpam-6632	189	13	,	,	PUNCT
ejpam-6632	189	14	which	which	PRON
ejpam-6632	189	15	will	will	AUX
ejpam-6632	189	16	be	be	AUX
ejpam-6632	189	17	enhanced	enhance	VERB
ejpam-6632	189	18	to	to	PART
ejpam-6632	189	19	reveal	reveal	VERB
ejpam-6632	189	20	finer	fine	ADJ
ejpam-6632	189	21	structures	structure	NOUN
ejpam-6632	189	22	more	more	ADV
ejpam-6632	189	23	clearly	clearly	ADV
ejpam-6632	189	24	.	.	PUNCT
ejpam-6632	190	1	grayscale	grayscale	NOUN
ejpam-6632	190	2	image	image	NOUN
ejpam-6632	190	3	the	the	DET
ejpam-6632	190	4	flower	flower	NOUN
ejpam-6632	190	5	’s	’s	PART
ejpam-6632	190	6	structure	structure	NOUN
ejpam-6632	190	7	and	and	CCONJ
ejpam-6632	190	8	bud	bud	NOUN
ejpam-6632	190	9	are	be	AUX
ejpam-6632	190	10	clearly	clearly	ADV
ejpam-6632	190	11	visible	visible	ADJ
ejpam-6632	190	12	in	in	ADP
ejpam-6632	190	13	grayscale	grayscale	NOUN
ejpam-6632	190	14	,	,	PUNCT
ejpam-6632	190	15	with	with	ADP
ejpam-6632	190	16	varying	vary	VERB
ejpam-6632	190	17	shades	shade	NOUN
ejpam-6632	190	18	preserving	preserve	VERB
ejpam-6632	190	19	its	its	PRON
ejpam-6632	190	20	shape	shape	NOUN
ejpam-6632	190	21	and	and	CCONJ
ejpam-6632	190	22	texture	texture	NOUN
ejpam-6632	190	23	against	against	ADP
ejpam-6632	190	24	the	the	DET
ejpam-6632	190	25	background	background	NOUN
ejpam-6632	190	26	.	.	PUNCT
ejpam-6632	191	1	grayscale	grayscale	NOUN
ejpam-6632	191	2	representation	representation	NOUN
ejpam-6632	191	3	highlights	highlight	NOUN
ejpam-6632	191	4	the	the	DET
ejpam-6632	191	5	horse	horse	NOUN
ejpam-6632	191	6	,	,	PUNCT
ejpam-6632	191	7	shed	shed	ADJ
ejpam-6632	191	8	,	,	PUNCT
ejpam-6632	191	9	and	and	CCONJ
ejpam-6632	191	10	grass	grass	NOUN
ejpam-6632	191	11	,	,	PUNCT
ejpam-6632	191	12	maintaining	maintain	VERB
ejpam-6632	191	13	subtle	subtle	ADJ
ejpam-6632	191	14	textures	texture	NOUN
ejpam-6632	191	15	and	and	CCONJ
ejpam-6632	191	16	patterns	pattern	NOUN
ejpam-6632	191	17	that	that	PRON
ejpam-6632	191	18	might	might	AUX
ejpam-6632	191	19	otherwise	otherwise	ADV
ejpam-6632	191	20	be	be	AUX
ejpam-6632	191	21	overlooked	overlook	VERB
ejpam-6632	191	22	.	.	PUNCT
ejpam-6632	192	1	minor	minor	ADJ
ejpam-6632	192	2	details	detail	NOUN
ejpam-6632	192	3	of	of	ADP
ejpam-6632	192	4	the	the	DET
ejpam-6632	192	5	leaf	leaf	NOUN
ejpam-6632	192	6	,	,	PUNCT
ejpam-6632	192	7	including	include	VERB
ejpam-6632	192	8	vein	vein	ADJ
ejpam-6632	192	9	patterns	pattern	NOUN
ejpam-6632	192	10	and	and	CCONJ
ejpam-6632	192	11	shadow	shadow	NOUN
ejpam-6632	192	12	gradients	gradient	NOUN
ejpam-6632	192	13	,	,	PUNCT
ejpam-6632	192	14	are	be	AUX
ejpam-6632	192	15	preserved	preserve	VERB
ejpam-6632	192	16	in	in	ADP
ejpam-6632	192	17	grayscale	grayscale	NOUN
ejpam-6632	192	18	,	,	PUNCT
ejpam-6632	192	19	revealing	reveal	VERB
ejpam-6632	192	20	features	feature	NOUN
ejpam-6632	192	21	that	that	PRON
ejpam-6632	192	22	are	be	AUX
ejpam-6632	192	23	less	less	ADV
ejpam-6632	192	24	noticeable	noticeable	ADJ
ejpam-6632	192	25	in	in	ADP
ejpam-6632	192	26	color	color	NOUN
ejpam-6632	192	27	.	.	PUNCT
ejpam-6632	193	1	gabor	gabor	PROPN
ejpam-6632	193	2	filter	filter	PROPN
ejpam-6632	193	3	gabor	gabor	PROPN
ejpam-6632	193	4	filtering	filtering	NOUN
ejpam-6632	193	5	enhances	enhance	VERB
ejpam-6632	193	6	petal	petal	ADJ
ejpam-6632	193	7	and	and	CCONJ
ejpam-6632	193	8	bud	bud	ADJ
ejpam-6632	193	9	textures	texture	NOUN
ejpam-6632	193	10	by	by	ADP
ejpam-6632	193	11	capturing	capture	VERB
ejpam-6632	193	12	local	local	ADJ
ejpam-6632	193	13	frequency	frequency	NOUN
ejpam-6632	193	14	and	and	CCONJ
ejpam-6632	193	15	orientation	orientation	NOUN
ejpam-6632	193	16	features	feature	NOUN
ejpam-6632	193	17	,	,	PUNCT
ejpam-6632	193	18	improving	improve	VERB
ejpam-6632	193	19	structural	structural	ADJ
ejpam-6632	193	20	visibility	visibility	NOUN
ejpam-6632	193	21	.	.	PUNCT
ejpam-6632	194	1	the	the	DET
ejpam-6632	194	2	filter	filter	NOUN
ejpam-6632	194	3	highlights	highlight	NOUN
ejpam-6632	194	4	horse	horse	NOUN
ejpam-6632	194	5	fur	fur	NOUN
ejpam-6632	194	6	,	,	PUNCT
ejpam-6632	194	7	shed	shed	ADJ
ejpam-6632	194	8	,	,	PUNCT
ejpam-6632	194	9	and	and	CCONJ
ejpam-6632	194	10	grass	grass	NOUN
ejpam-6632	194	11	patterns	pattern	NOUN
ejpam-6632	194	12	using	use	VERB
ejpam-6632	194	13	multi	multi	ADJ
ejpam-6632	194	14	-	-	ADJ
ejpam-6632	194	15	scale	scale	ADJ
ejpam-6632	194	16	directional	directional	ADJ
ejpam-6632	194	17	responses	response	NOUN
ejpam-6632	194	18	,	,	PUNCT
ejpam-6632	194	19	emphasizing	emphasize	VERB
ejpam-6632	194	20	fine	fine	ADJ
ejpam-6632	194	21	textures	texture	NOUN
ejpam-6632	194	22	.	.	PUNCT
ejpam-6632	195	1	leaf	leaf	NOUN
ejpam-6632	195	2	veins	vein	NOUN
ejpam-6632	195	3	and	and	CCONJ
ejpam-6632	195	4	surface	surface	NOUN
ejpam-6632	195	5	details	detail	NOUN
ejpam-6632	195	6	are	be	AUX
ejpam-6632	195	7	enhanced	enhance	VERB
ejpam-6632	195	8	through	through	ADP
ejpam-6632	195	9	multi	multi	ADJ
ejpam-6632	195	10	-	-	ADJ
ejpam-6632	195	11	orientation	orientation	ADJ
ejpam-6632	195	12	gabor	gabor	NOUN
ejpam-6632	195	13	filtering	filtering	NOUN
ejpam-6632	195	14	,	,	PUNCT
ejpam-6632	195	15	making	make	VERB
ejpam-6632	195	16	subtle	subtle	ADJ
ejpam-6632	195	17	features	feature	NOUN
ejpam-6632	195	18	more	more	ADV
ejpam-6632	195	19	discernible	discernible	ADJ
ejpam-6632	195	20	.	.	PUNCT
ejpam-6632	196	1	sakaguchiinspired	sakaguchiinspire	VERB
ejpam-6632	196	2	edge	edge	NOUN
ejpam-6632	196	3	detection	detection	NOUN
ejpam-6632	196	4	petal	petal	ADJ
ejpam-6632	196	5	and	and	CCONJ
ejpam-6632	196	6	bud	bud	ADJ
ejpam-6632	196	7	structures	structure	NOUN
ejpam-6632	196	8	are	be	AUX
ejpam-6632	196	9	enhanced	enhance	VERB
ejpam-6632	196	10	,	,	PUNCT
ejpam-6632	196	11	making	make	VERB
ejpam-6632	196	12	the	the	DET
ejpam-6632	196	13	flower	flower	NOUN
ejpam-6632	196	14	’s	’s	PART
ejpam-6632	196	15	details	detail	NOUN
ejpam-6632	196	16	more	more	ADV
ejpam-6632	196	17	distinguishable	distinguishable	ADJ
ejpam-6632	196	18	and	and	CCONJ
ejpam-6632	196	19	prominent	prominent	ADJ
ejpam-6632	196	20	.	.	PUNCT
ejpam-6632	197	1	sakaguchi	sakaguchi	ADJ
ejpam-6632	197	2	-	-	PUNCT
ejpam-6632	197	3	inspired	inspire	VERB
ejpam-6632	197	4	detection	detection	NOUN
ejpam-6632	197	5	highlights	highlight	VERB
ejpam-6632	197	6	the	the	DET
ejpam-6632	197	7	horse	horse	NOUN
ejpam-6632	197	8	’s	’s	PART
ejpam-6632	197	9	textures	texture	NOUN
ejpam-6632	197	10	and	and	CCONJ
ejpam-6632	197	11	outlines	outline	NOUN
ejpam-6632	197	12	,	,	PUNCT
ejpam-6632	197	13	enhancing	enhance	VERB
ejpam-6632	197	14	structural	structural	ADJ
ejpam-6632	197	15	details	detail	NOUN
ejpam-6632	197	16	for	for	ADP
ejpam-6632	197	17	clearer	clear	ADJ
ejpam-6632	197	18	visualization	visualization	NOUN
ejpam-6632	197	19	.	.	PUNCT
ejpam-6632	198	1	leaf	leaf	NOUN
ejpam-6632	198	2	veins	vein	NOUN
ejpam-6632	198	3	and	and	CCONJ
ejpam-6632	198	4	subtle	subtle	ADJ
ejpam-6632	198	5	patterns	pattern	NOUN
ejpam-6632	198	6	are	be	AUX
ejpam-6632	198	7	accentuated	accentuate	VERB
ejpam-6632	198	8	using	use	VERB
ejpam-6632	198	9	multiscale	multiscale	ADJ
ejpam-6632	198	10	edge	edge	NOUN
ejpam-6632	198	11	detection	detection	NOUN
ejpam-6632	198	12	,	,	PUNCT
ejpam-6632	198	13	improving	improve	VERB
ejpam-6632	198	14	feature	feature	NOUN
ejpam-6632	198	15	visibility	visibility	NOUN
ejpam-6632	198	16	.	.	PUNCT
ejpam-6632	199	1	fekete	fekete	PROPN
ejpam-6632	199	2	–	–	PUNCT
ejpam-6632	199	3	szegö	szegö	ADJ
ejpam-6632	199	4	contrast	contrast	NOUN
ejpam-6632	199	5	enhancement	enhancement	NOUN
ejpam-6632	199	6	petal	petal	ADJ
ejpam-6632	199	7	and	and	CCONJ
ejpam-6632	199	8	bud	bud	ADJ
ejpam-6632	199	9	textures	texture	NOUN
ejpam-6632	199	10	are	be	AUX
ejpam-6632	199	11	enhanced	enhance	VERB
ejpam-6632	199	12	through	through	ADP
ejpam-6632	199	13	local	local	ADJ
ejpam-6632	199	14	contrast	contrast	NOUN
ejpam-6632	199	15	adjustment	adjustment	NOUN
ejpam-6632	199	16	,	,	PUNCT
ejpam-6632	199	17	improving	improve	VERB
ejpam-6632	199	18	visibility	visibility	NOUN
ejpam-6632	199	19	of	of	ADP
ejpam-6632	199	20	fine	fine	ADJ
ejpam-6632	199	21	structural	structural	ADJ
ejpam-6632	199	22	features	feature	NOUN
ejpam-6632	199	23	.	.	PUNCT
ejpam-6632	200	1	fekete	fekete	NOUN
ejpam-6632	200	2	–	–	PUNCT
ejpam-6632	200	3	szegö	szegö	ADJ
ejpam-6632	200	4	contrast	contrast	NOUN
ejpam-6632	200	5	enhancement	enhancement	NOUN
ejpam-6632	200	6	brings	bring	VERB
ejpam-6632	200	7	out	out	ADP
ejpam-6632	200	8	fine	fine	ADJ
ejpam-6632	200	9	textures	texture	NOUN
ejpam-6632	200	10	in	in	ADP
ejpam-6632	200	11	the	the	DET
ejpam-6632	200	12	horse	horse	NOUN
ejpam-6632	200	13	,	,	PUNCT
ejpam-6632	200	14	shed	shed	ADJ
ejpam-6632	200	15	,	,	PUNCT
ejpam-6632	200	16	and	and	CCONJ
ejpam-6632	200	17	grass	grass	NOUN
ejpam-6632	200	18	,	,	PUNCT
ejpam-6632	200	19	making	make	VERB
ejpam-6632	200	20	subtle	subtle	ADJ
ejpam-6632	200	21	patterns	pattern	NOUN
ejpam-6632	200	22	more	more	ADV
ejpam-6632	200	23	visible	visible	ADJ
ejpam-6632	200	24	..	..	PUNCT
ejpam-6632	201	1	the	the	DET
ejpam-6632	201	2	leaf	leaf	NOUN
ejpam-6632	201	3	’s	’s	PART
ejpam-6632	201	4	vein	vein	ADJ
ejpam-6632	201	5	patterns	pattern	NOUN
ejpam-6632	201	6	and	and	CCONJ
ejpam-6632	201	7	shadow	shadow	NOUN
ejpam-6632	201	8	gradients	gradient	NOUN
ejpam-6632	201	9	are	be	AUX
ejpam-6632	201	10	emphasized	emphasize	VERB
ejpam-6632	201	11	,	,	PUNCT
ejpam-6632	201	12	revealing	reveal	VERB
ejpam-6632	201	13	details	detail	NOUN
ejpam-6632	201	14	that	that	PRON
ejpam-6632	201	15	are	be	AUX
ejpam-6632	201	16	less	less	ADV
ejpam-6632	201	17	noticeable	noticeable	ADJ
ejpam-6632	201	18	in	in	ADP
ejpam-6632	201	19	the	the	DET
ejpam-6632	201	20	original	original	ADJ
ejpam-6632	201	21	image	image	NOUN
ejpam-6632	201	22	final	final	ADJ
ejpam-6632	201	23	enhanced	enhance	VERB
ejpam-6632	201	24	image	image	NOUN
ejpam-6632	201	25	petal	petal	ADJ
ejpam-6632	201	26	and	and	CCONJ
ejpam-6632	201	27	bud	bud	ADJ
ejpam-6632	201	28	structures	structure	NOUN
ejpam-6632	201	29	are	be	AUX
ejpam-6632	201	30	vividly	vividly	ADV
ejpam-6632	201	31	highlighted	highlight	VERB
ejpam-6632	201	32	with	with	ADP
ejpam-6632	201	33	reduced	reduce	VERB
ejpam-6632	201	34	noise	noise	NOUN
ejpam-6632	201	35	.	.	PUNCT
ejpam-6632	202	1	the	the	DET
ejpam-6632	202	2	psnr	psnr	NOUN
ejpam-6632	202	3	=	=	SYM
ejpam-6632	202	4	14.11db	14.11db	NUM
ejpam-6632	202	5	and	and	CCONJ
ejpam-6632	202	6	ssim	ssim	NOUN
ejpam-6632	202	7	=	=	SYM
ejpam-6632	202	8	0.79	0.79	NUM
ejpam-6632	202	9	show	show	VERB
ejpam-6632	202	10	higher	high	ADJ
ejpam-6632	202	11	similarity	similarity	NOUN
ejpam-6632	202	12	than	than	ADP
ejpam-6632	202	13	other	other	ADJ
ejpam-6632	202	14	images	image	NOUN
ejpam-6632	202	15	,	,	PUNCT
ejpam-6632	202	16	as	as	SCONJ
ejpam-6632	202	17	the	the	DET
ejpam-6632	202	18	enhancement	enhancement	NOUN
ejpam-6632	202	19	preserved	preserve	VERB
ejpam-6632	202	20	more	more	ADJ
ejpam-6632	202	21	of	of	ADP
ejpam-6632	202	22	the	the	DET
ejpam-6632	202	23	original	original	ADJ
ejpam-6632	202	24	flower	flower	NOUN
ejpam-6632	202	25	’s	’s	PART
ejpam-6632	202	26	structure	structure	NOUN
ejpam-6632	202	27	while	while	SCONJ
ejpam-6632	202	28	improving	improve	VERB
ejpam-6632	202	29	clarity	clarity	NOUN
ejpam-6632	202	30	.	.	PUNCT
ejpam-6632	203	1	the	the	DET
ejpam-6632	203	2	final	final	ADJ
ejpam-6632	203	3	enhancement	enhancement	NOUN
ejpam-6632	203	4	accentuates	accentuate	VERB
ejpam-6632	203	5	the	the	DET
ejpam-6632	203	6	horse	horse	NOUN
ejpam-6632	203	7	’s	’s	PART
ejpam-6632	203	8	textures	texture	NOUN
ejpam-6632	203	9	and	and	CCONJ
ejpam-6632	203	10	structure	structure	NOUN
ejpam-6632	203	11	while	while	SCONJ
ejpam-6632	203	12	reducing	reduce	VERB
ejpam-6632	203	13	noise	noise	NOUN
ejpam-6632	203	14	.	.	PUNCT
ejpam-6632	204	1	the	the	DET
ejpam-6632	204	2	psnr	psnr	NOUN
ejpam-6632	204	3	=	=	SYM
ejpam-6632	204	4	11.72db	11.72db	PROPN
ejpam-6632	204	5	and	and	CCONJ
ejpam-6632	204	6	ssim	ssim	NOUN
ejpam-6632	204	7	=	=	NOUN
ejpam-6632	204	8	0.64	0.64	NUM
ejpam-6632	204	9	indicate	indicate	VERB
ejpam-6632	204	10	moderate	moderate	ADJ
ejpam-6632	204	11	similarity	similarity	NOUN
ejpam-6632	204	12	to	to	ADP
ejpam-6632	204	13	the	the	DET
ejpam-6632	204	14	original	original	NOUN
ejpam-6632	204	15	,	,	PUNCT
ejpam-6632	204	16	which	which	PRON
ejpam-6632	204	17	is	be	AUX
ejpam-6632	204	18	expected	expect	VERB
ejpam-6632	204	19	because	because	SCONJ
ejpam-6632	204	20	edge	edge	NOUN
ejpam-6632	204	21	and	and	CCONJ
ejpam-6632	204	22	contrast	contrast	NOUN
ejpam-6632	204	23	enhancements	enhancement	NOUN
ejpam-6632	204	24	change	change	VERB
ejpam-6632	204	25	pixel	pixel	ADJ
ejpam-6632	204	26	values	value	NOUN
ejpam-6632	204	27	while	while	SCONJ
ejpam-6632	204	28	improving	improve	VERB
ejpam-6632	204	29	feature	feature	NOUN
ejpam-6632	204	30	visibility	visibility	NOUN
ejpam-6632	204	31	.	.	PUNCT
ejpam-6632	205	1	leaf	leaf	NOUN
ejpam-6632	205	2	veins	vein	NOUN
ejpam-6632	205	3	and	and	CCONJ
ejpam-6632	205	4	subtle	subtle	ADJ
ejpam-6632	205	5	details	detail	NOUN
ejpam-6632	205	6	are	be	AUX
ejpam-6632	205	7	more	more	ADV
ejpam-6632	205	8	pronounced	pronounced	ADJ
ejpam-6632	205	9	with	with	ADP
ejpam-6632	205	10	noise	noise	NOUN
ejpam-6632	205	11	suppression	suppression	NOUN
ejpam-6632	205	12	.	.	PUNCT
ejpam-6632	206	1	the	the	DET
ejpam-6632	206	2	psnr	psnr	NOUN
ejpam-6632	206	3	=	=	PUNCT
ejpam-6632	206	4	11.52db	11.52db	NUM
ejpam-6632	206	5	and	and	CCONJ
ejpam-6632	206	6	ssim	ssim	NOUN
ejpam-6632	206	7	=	=	SYM
ejpam-6632	206	8	0.53	0.53	NUM
ejpam-6632	206	9	reflect	reflect	VERB
ejpam-6632	206	10	moderate	moderate	ADJ
ejpam-6632	206	11	structural	structural	ADJ
ejpam-6632	206	12	similarity	similarity	NOUN
ejpam-6632	206	13	;	;	PUNCT
ejpam-6632	206	14	the	the	DET
ejpam-6632	206	15	relatively	relatively	ADV
ejpam-6632	206	16	lower	low	ADJ
ejpam-6632	206	17	ssim	ssim	NOUN
ejpam-6632	206	18	is	be	AUX
ejpam-6632	206	19	due	due	ADJ
ejpam-6632	206	20	to	to	ADP
ejpam-6632	206	21	aggressive	aggressive	ADJ
ejpam-6632	206	22	contrast	contrast	NOUN
ejpam-6632	206	23	and	and	CCONJ
ejpam-6632	206	24	edge	edge	NOUN
ejpam-6632	206	25	enhancement	enhancement	NOUN
ejpam-6632	206	26	altering	alter	VERB
ejpam-6632	206	27	the	the	DET
ejpam-6632	206	28	original	original	ADJ
ejpam-6632	206	29	appearance	appearance	NOUN
ejpam-6632	206	30	.	.	PUNCT
ejpam-6632	207	1	table	table	NOUN
ejpam-6632	207	2	1	1	NUM
ejpam-6632	207	3	:	:	PUNCT
ejpam-6632	207	4	comparison	comparison	NOUN
ejpam-6632	207	5	of	of	ADP
ejpam-6632	207	6	edge	edge	NOUN
ejpam-6632	207	7	detection	detection	NOUN
ejpam-6632	207	8	and	and	CCONJ
ejpam-6632	207	9	enhancement	enhancement	NOUN
ejpam-6632	207	10	techniques	technique	NOUN
ejpam-6632	207	11	r.	r.	PROPN
ejpam-6632	207	12	kamali	kamali	PROPN
ejpam-6632	207	13	et	et	PROPN
ejpam-6632	207	14	al	al	PROPN
ejpam-6632	207	15	.	.	PUNCT
ejpam-6632	207	16	/	/	SYM
ejpam-6632	207	17	eur	eur	PROPN
ejpam-6632	207	18	.	.	PUNCT
ejpam-6632	208	1	j.	j.	PROPN
ejpam-6632	208	2	pure	pure	PROPN
ejpam-6632	208	3	appl	appl	PROPN
ejpam-6632	208	4	.	.	PROPN
ejpam-6632	208	5	math	math	PROPN
ejpam-6632	208	6	,	,	PUNCT
ejpam-6632	208	7	18	18	NUM
ejpam-6632	208	8	(	(	PUNCT
ejpam-6632	208	9	4	4	NUM
ejpam-6632	208	10	)	)	PUNCT
ejpam-6632	208	11	(	(	PUNCT
ejpam-6632	208	12	2025	2025	NUM
ejpam-6632	208	13	)	)	PUNCT
ejpam-6632	208	14	,	,	PUNCT
ejpam-6632	208	15	6632	6632	NUM
ejpam-6632	208	16	15	15	NUM
ejpam-6632	208	17	of	of	ADP
ejpam-6632	208	18	19	19	NUM
ejpam-6632	208	19	9	9	NUM
ejpam-6632	208	20	.	.	PUNCT
ejpam-6632	208	21	comparison	comparison	NOUN
ejpam-6632	208	22	of	of	ADP
ejpam-6632	208	23	classical	classical	ADJ
ejpam-6632	208	24	edge	edge	NOUN
ejpam-6632	208	25	detectors	detector	NOUN
ejpam-6632	208	26	with	with	ADP
ejpam-6632	208	27	the	the	DET
ejpam-6632	208	28	proposed	propose	VERB
ejpam-6632	208	29	enhancement	enhancement	NOUN
ejpam-6632	208	30	method	method	VERB
ejpam-6632	208	31	the	the	DET
ejpam-6632	208	32	performance	performance	NOUN
ejpam-6632	208	33	of	of	ADP
ejpam-6632	208	34	the	the	DET
ejpam-6632	208	35	proposed	propose	VERB
ejpam-6632	208	36	mathematically	mathematically	ADV
ejpam-6632	208	37	guided	guide	VERB
ejpam-6632	208	38	enhancement	enhancement	NOUN
ejpam-6632	208	39	algorithm	algorithm	NOUN
ejpam-6632	208	40	was	be	AUX
ejpam-6632	208	41	assessed	assess	VERB
ejpam-6632	208	42	on	on	ADP
ejpam-6632	208	43	three	three	NUM
ejpam-6632	208	44	representative	representative	ADJ
ejpam-6632	208	45	images	image	NOUN
ejpam-6632	208	46	:	:	PUNCT
ejpam-6632	208	47	flower	flower	NOUN
ejpam-6632	208	48	,	,	PUNCT
ejpam-6632	208	49	horse	horse	NOUN
ejpam-6632	208	50	,	,	PUNCT
ejpam-6632	208	51	and	and	CCONJ
ejpam-6632	208	52	leaf	leaf	NOUN
ejpam-6632	208	53	.	.	PUNCT
ejpam-6632	209	1	quantitative	quantitative	ADJ
ejpam-6632	209	2	evaluation	evaluation	NOUN
ejpam-6632	209	3	used	use	VERB
ejpam-6632	209	4	psnr	psnr	NOUN
ejpam-6632	209	5	and	and	CCONJ
ejpam-6632	209	6	ssim	ssim	NOUN
ejpam-6632	209	7	metrics	metric	NOUN
ejpam-6632	209	8	and	and	CCONJ
ejpam-6632	209	9	was	be	AUX
ejpam-6632	209	10	complemented	complement	VERB
ejpam-6632	209	11	by	by	ADP
ejpam-6632	209	12	qualitative	qualitative	ADJ
ejpam-6632	209	13	analysis	analysis	NOUN
ejpam-6632	209	14	based	base	VERB
ejpam-6632	209	15	on	on	ADP
ejpam-6632	209	16	the	the	DET
ejpam-6632	209	17	direct	direct	ADJ
ejpam-6632	209	18	visual	visual	ADJ
ejpam-6632	209	19	output	output	NOUN
ejpam-6632	209	20	.	.	PUNCT
ejpam-6632	210	1	[	[	X
ejpam-6632	210	2	b]1	b]1	NOUN
ejpam-6632	210	3	figure	figure	VERB
ejpam-6632	210	4	4	4	NUM
ejpam-6632	210	5	:	:	PUNCT
ejpam-6632	210	6	flower	flower	NOUN
ejpam-6632	210	7	[	[	AUX
ejpam-6632	210	8	b]1	b]1	NOUN
ejpam-6632	210	9	figure	figure	VERB
ejpam-6632	210	10	5	5	NUM
ejpam-6632	210	11	:	:	PUNCT
ejpam-6632	210	12	horse	horse	NOUN
ejpam-6632	210	13	[	[	X
ejpam-6632	210	14	b]1	b]1	NOUN
ejpam-6632	210	15	figure	figure	VERB
ejpam-6632	210	16	6	6	NUM
ejpam-6632	210	17	:	:	PUNCT
ejpam-6632	210	18	leaf	leaf	NOUN
ejpam-6632	210	19	justification	justification	NOUN
ejpam-6632	210	20	=	=	NOUN
ejpam-6632	210	21	centering	center	VERB
ejpam-6632	210	22	figure	figure	NOUN
ejpam-6632	210	23	7	7	NUM
ejpam-6632	210	24	:	:	PUNCT
ejpam-6632	210	25	comparison	comparison	NOUN
ejpam-6632	210	26	of	of	ADP
ejpam-6632	210	27	classical	classical	ADJ
ejpam-6632	210	28	edge	edge	NOUN
ejpam-6632	210	29	detectors	detector	NOUN
ejpam-6632	210	30	(	(	PUNCT
ejpam-6632	210	31	sobel	sobel	NOUN
ejpam-6632	210	32	,	,	PUNCT
ejpam-6632	210	33	canny	canny	ADJ
ejpam-6632	210	34	,	,	PUNCT
ejpam-6632	210	35	laplacian	laplacian	NOUN
ejpam-6632	210	36	)	)	PUNCT
ejpam-6632	210	37	with	with	ADP
ejpam-6632	210	38	the	the	DET
ejpam-6632	210	39	proposed	propose	VERB
ejpam-6632	210	40	enhancement	enhancement	NOUN
ejpam-6632	210	41	method	method	NOUN
ejpam-6632	210	42	for	for	ADP
ejpam-6632	210	43	flower	flower	NOUN
ejpam-6632	210	44	,	,	PUNCT
ejpam-6632	210	45	horse	horse	NOUN
ejpam-6632	210	46	,	,	PUNCT
ejpam-6632	210	47	and	and	CCONJ
ejpam-6632	210	48	leaf	leaf	NOUN
ejpam-6632	210	49	images	image	NOUN
ejpam-6632	210	50	.	.	PUNCT
ejpam-6632	211	1	r.	r.	PROPN
ejpam-6632	211	2	kamali	kamali	PROPN
ejpam-6632	211	3	et	et	PROPN
ejpam-6632	211	4	al	al	PROPN
ejpam-6632	211	5	.	.	PUNCT
ejpam-6632	211	6	/	/	SYM
ejpam-6632	211	7	eur	eur	PROPN
ejpam-6632	211	8	.	.	PUNCT
ejpam-6632	212	1	j.	j.	PROPN
ejpam-6632	212	2	pure	pure	PROPN
ejpam-6632	212	3	appl	appl	PROPN
ejpam-6632	212	4	.	.	PROPN
ejpam-6632	212	5	math	math	PROPN
ejpam-6632	212	6	,	,	PUNCT
ejpam-6632	212	7	18	18	NUM
ejpam-6632	212	8	(	(	PUNCT
ejpam-6632	212	9	4	4	NUM
ejpam-6632	212	10	)	)	PUNCT
ejpam-6632	212	11	(	(	PUNCT
ejpam-6632	212	12	2025	2025	NUM
ejpam-6632	212	13	)	)	PUNCT
ejpam-6632	212	14	,	,	PUNCT
ejpam-6632	212	15	6632	6632	NUM
ejpam-6632	212	16	16	16	NUM
ejpam-6632	212	17	of	of	ADP
ejpam-6632	212	18	19	19	NUM
ejpam-6632	212	19	9.1	9.1	NUM
ejpam-6632	212	20	.	.	PUNCT
ejpam-6632	213	1	flower	flower	NOUN
ejpam-6632	213	2	in	in	ADP
ejpam-6632	213	3	the	the	DET
ejpam-6632	213	4	case	case	NOUN
ejpam-6632	213	5	of	of	ADP
ejpam-6632	213	6	flower	flower	NOUN
ejpam-6632	213	7	image	image	NOUN
ejpam-6632	213	8	,	,	PUNCT
ejpam-6632	213	9	the	the	DET
ejpam-6632	213	10	final	final	ADJ
ejpam-6632	213	11	enhanced	enhanced	ADJ
ejpam-6632	213	12	result	result	NOUN
ejpam-6632	213	13	yields	yield	VERB
ejpam-6632	213	14	a	a	DET
ejpam-6632	213	15	psnr	psnr	NOUN
ejpam-6632	213	16	of	of	ADP
ejpam-6632	213	17	16.11	16.11	NUM
ejpam-6632	213	18	and	and	CCONJ
ejpam-6632	213	19	ssim	ssim	NOUN
ejpam-6632	213	20	of	of	ADP
ejpam-6632	213	21	0.894	0.894	NUM
ejpam-6632	213	22	,	,	PUNCT
ejpam-6632	213	23	outperforming	outperforming	NOUN
ejpam-6632	213	24	sobel	sobel	NOUN
ejpam-6632	213	25	(	(	PUNCT
ejpam-6632	213	26	14.45	14.45	NUM
ejpam-6632	213	27	,	,	PUNCT
ejpam-6632	213	28	0.873	0.873	NUM
ejpam-6632	213	29	)	)	PUNCT
ejpam-6632	213	30	,	,	PUNCT
ejpam-6632	213	31	canny	canny	ADJ
ejpam-6632	213	32	(	(	PUNCT
ejpam-6632	213	33	14.09	14.09	NUM
ejpam-6632	213	34	,	,	PUNCT
ejpam-6632	213	35	0.857	0.857	NUM
ejpam-6632	213	36	)	)	PUNCT
ejpam-6632	213	37	,	,	PUNCT
ejpam-6632	213	38	and	and	CCONJ
ejpam-6632	213	39	laplacian	laplacian	ADJ
ejpam-6632	213	40	(	(	PUNCT
ejpam-6632	213	41	14.50	14.50	NUM
ejpam-6632	213	42	,	,	PUNCT
ejpam-6632	213	43	0.876	0.876	NUM
ejpam-6632	213	44	)	)	PUNCT
ejpam-6632	213	45	.	.	PUNCT
ejpam-6632	214	1	visually	visually	ADV
ejpam-6632	214	2	,	,	PUNCT
ejpam-6632	214	3	the	the	DET
ejpam-6632	214	4	enhanced	enhanced	ADJ
ejpam-6632	214	5	model	model	NOUN
ejpam-6632	214	6	not	not	PART
ejpam-6632	214	7	only	only	ADV
ejpam-6632	214	8	improves	improve	VERB
ejpam-6632	214	9	the	the	DET
ejpam-6632	214	10	delineation	delineation	NOUN
ejpam-6632	214	11	of	of	ADP
ejpam-6632	214	12	petal	petal	ADJ
ejpam-6632	214	13	boundaries	boundary	NOUN
ejpam-6632	214	14	but	but	CCONJ
ejpam-6632	214	15	also	also	ADV
ejpam-6632	214	16	reveals	reveal	VERB
ejpam-6632	214	17	subtle	subtle	ADJ
ejpam-6632	214	18	interior	interior	ADJ
ejpam-6632	214	19	textures	texture	NOUN
ejpam-6632	214	20	and	and	CCONJ
ejpam-6632	214	21	nuanced	nuanced	ADJ
ejpam-6632	214	22	edge	edge	NOUN
ejpam-6632	214	23	transitions	transition	NOUN
ejpam-6632	214	24	that	that	PRON
ejpam-6632	214	25	are	be	AUX
ejpam-6632	214	26	almost	almost	ADV
ejpam-6632	214	27	invisible	invisible	ADJ
ejpam-6632	214	28	in	in	ADP
ejpam-6632	214	29	the	the	DET
ejpam-6632	214	30	outputs	output	NOUN
ejpam-6632	214	31	of	of	ADP
ejpam-6632	214	32	classical	classical	ADJ
ejpam-6632	214	33	edge	edge	NOUN
ejpam-6632	214	34	detectors	detector	NOUN
ejpam-6632	214	35	.	.	PUNCT
ejpam-6632	215	1	the	the	DET
ejpam-6632	215	2	ability	ability	NOUN
ejpam-6632	215	3	to	to	PART
ejpam-6632	215	4	recover	recover	VERB
ejpam-6632	215	5	such	such	ADJ
ejpam-6632	215	6	faint	faint	ADJ
ejpam-6632	215	7	details	detail	NOUN
ejpam-6632	215	8	demonstrates	demonstrate	VERB
ejpam-6632	215	9	the	the	DET
ejpam-6632	215	10	superiority	superiority	NOUN
ejpam-6632	215	11	of	of	ADP
ejpam-6632	215	12	the	the	DET
ejpam-6632	215	13	proposed	propose	VERB
ejpam-6632	215	14	method	method	NOUN
ejpam-6632	215	15	for	for	ADP
ejpam-6632	215	16	natural	natural	ADJ
ejpam-6632	215	17	scenes	scene	NOUN
ejpam-6632	215	18	with	with	ADP
ejpam-6632	215	19	complex	complex	ADJ
ejpam-6632	215	20	floral	floral	ADJ
ejpam-6632	215	21	structures	structure	NOUN
ejpam-6632	215	22	.	.	PUNCT
ejpam-6632	216	1	9.2	9.2	NUM
ejpam-6632	216	2	.	.	PUNCT
ejpam-6632	217	1	horse	horse	NOUN
ejpam-6632	217	2	turning	turn	VERB
ejpam-6632	217	3	to	to	ADP
ejpam-6632	217	4	the	the	DET
ejpam-6632	217	5	horse	horse	NOUN
ejpam-6632	217	6	image	image	NOUN
ejpam-6632	217	7	,	,	PUNCT
ejpam-6632	217	8	the	the	DET
ejpam-6632	217	9	proposed	propose	VERB
ejpam-6632	217	10	model	model	NOUN
ejpam-6632	217	11	again	again	ADV
ejpam-6632	217	12	exhibits	exhibit	VERB
ejpam-6632	217	13	lower	low	ADJ
ejpam-6632	217	14	psnr	psnr	NOUN
ejpam-6632	217	15	(	(	PUNCT
ejpam-6632	217	16	11.72	11.72	NUM
ejpam-6632	217	17	)	)	PUNCT
ejpam-6632	217	18	and	and	CCONJ
ejpam-6632	217	19	ssim	ssim	NOUN
ejpam-6632	217	20	(	(	PUNCT
ejpam-6632	217	21	0.640	0.640	NUM
ejpam-6632	217	22	)	)	PUNCT
ejpam-6632	217	23	than	than	ADP
ejpam-6632	217	24	sobel	sobel	NOUN
ejpam-6632	217	25	(	(	PUNCT
ejpam-6632	217	26	19.17	19.17	NUM
ejpam-6632	217	27	,	,	PUNCT
ejpam-6632	217	28	0.861	0.861	NUM
ejpam-6632	217	29	)	)	PUNCT
ejpam-6632	217	30	,	,	PUNCT
ejpam-6632	217	31	canny	canny	ADJ
ejpam-6632	217	32	(	(	PUNCT
ejpam-6632	217	33	18.50	18.50	NUM
ejpam-6632	217	34	,	,	PUNCT
ejpam-6632	217	35	0.801	0.801	NUM
ejpam-6632	217	36	)	)	PUNCT
ejpam-6632	217	37	,	,	PUNCT
ejpam-6632	217	38	or	or	CCONJ
ejpam-6632	217	39	laplacian	laplacian	ADJ
ejpam-6632	217	40	(	(	PUNCT
ejpam-6632	217	41	19.26	19.26	NUM
ejpam-6632	217	42	,	,	PUNCT
ejpam-6632	217	43	0.883	0.883	NUM
ejpam-6632	217	44	)	)	PUNCT
ejpam-6632	217	45	.	.	PUNCT
ejpam-6632	218	1	however	however	ADV
ejpam-6632	218	2	,	,	PUNCT
ejpam-6632	218	3	the	the	DET
ejpam-6632	218	4	qualitative	qualitative	ADJ
ejpam-6632	218	5	output	output	NOUN
ejpam-6632	218	6	tells	tell	VERB
ejpam-6632	218	7	a	a	DET
ejpam-6632	218	8	different	different	ADJ
ejpam-6632	218	9	story	story	NOUN
ejpam-6632	218	10	.	.	PUNCT
ejpam-6632	219	1	the	the	DET
ejpam-6632	219	2	enhanced	enhanced	ADJ
ejpam-6632	219	3	image	image	NOUN
ejpam-6632	219	4	uncovers	uncover	NOUN
ejpam-6632	219	5	complex	complex	ADJ
ejpam-6632	219	6	textures	texture	NOUN
ejpam-6632	219	7	in	in	ADP
ejpam-6632	219	8	the	the	DET
ejpam-6632	219	9	horse	horse	NOUN
ejpam-6632	219	10	’s	’s	PART
ejpam-6632	219	11	coat	coat	NOUN
ejpam-6632	219	12	and	and	CCONJ
ejpam-6632	219	13	background	background	NOUN
ejpam-6632	219	14	,	,	PUNCT
ejpam-6632	219	15	bringing	bring	VERB
ejpam-6632	219	16	out	out	ADP
ejpam-6632	219	17	features	feature	NOUN
ejpam-6632	219	18	in	in	ADP
ejpam-6632	219	19	shadowed	shadow	VERB
ejpam-6632	219	20	zones	zone	NOUN
ejpam-6632	219	21	and	and	CCONJ
ejpam-6632	219	22	emphasizing	emphasize	VERB
ejpam-6632	219	23	contours	contours	NOUN
ejpam-6632	219	24	that	that	PRON
ejpam-6632	219	25	remain	remain	VERB
ejpam-6632	219	26	largely	largely	ADV
ejpam-6632	219	27	undetected	undetecte	VERB
ejpam-6632	219	28	by	by	ADP
ejpam-6632	219	29	other	other	ADJ
ejpam-6632	219	30	methods	method	NOUN
ejpam-6632	219	31	.	.	PUNCT
ejpam-6632	220	1	this	this	DET
ejpam-6632	220	2	level	level	NOUN
ejpam-6632	220	3	of	of	ADP
ejpam-6632	220	4	detail	detail	NOUN
ejpam-6632	220	5	is	be	AUX
ejpam-6632	220	6	particularly	particularly	ADV
ejpam-6632	220	7	beneficial	beneficial	ADJ
ejpam-6632	220	8	for	for	ADP
ejpam-6632	220	9	tasks	task	NOUN
ejpam-6632	220	10	requiring	require	VERB
ejpam-6632	220	11	feature	feature	NOUN
ejpam-6632	220	12	discovery	discovery	NOUN
ejpam-6632	220	13	in	in	ADP
ejpam-6632	220	14	challenging	challenge	VERB
ejpam-6632	220	15	illumination	illumination	NOUN
ejpam-6632	220	16	conditions	condition	NOUN
ejpam-6632	220	17	.	.	PUNCT
ejpam-6632	221	1	9.3	9.3	NUM
ejpam-6632	221	2	.	.	PUNCT
ejpam-6632	221	3	leaf	leaf	NOUN
ejpam-6632	221	4	for	for	ADP
ejpam-6632	221	5	the	the	DET
ejpam-6632	221	6	leaf	leaf	NOUN
ejpam-6632	221	7	image	image	NOUN
ejpam-6632	221	8	,	,	PUNCT
ejpam-6632	221	9	the	the	DET
ejpam-6632	221	10	model	model	NOUN
ejpam-6632	221	11	records	record	VERB
ejpam-6632	221	12	a	a	DET
ejpam-6632	221	13	lower	low	ADJ
ejpam-6632	221	14	psnr	psnr	NOUN
ejpam-6632	221	15	(	(	PUNCT
ejpam-6632	221	16	11.52	11.52	NUM
ejpam-6632	221	17	)	)	PUNCT
ejpam-6632	221	18	and	and	CCONJ
ejpam-6632	221	19	ssim	ssim	NOUN
ejpam-6632	221	20	(	(	PUNCT
ejpam-6632	221	21	0.526	0.526	NUM
ejpam-6632	221	22	)	)	PUNCT
ejpam-6632	221	23	compared	compare	VERB
ejpam-6632	221	24	to	to	ADP
ejpam-6632	221	25	sobel	sobel	NOUN
ejpam-6632	221	26	(	(	PUNCT
ejpam-6632	221	27	17.22	17.22	NUM
ejpam-6632	221	28	,	,	PUNCT
ejpam-6632	221	29	0.717	0.717	NUM
ejpam-6632	221	30	)	)	PUNCT
ejpam-6632	221	31	,	,	PUNCT
ejpam-6632	221	32	canny	canny	ADJ
ejpam-6632	221	33	(	(	PUNCT
ejpam-6632	221	34	16.04	16.04	NUM
ejpam-6632	221	35	,	,	PUNCT
ejpam-6632	221	36	0.662	0.662	NUM
ejpam-6632	221	37	)	)	PUNCT
ejpam-6632	221	38	,	,	PUNCT
ejpam-6632	221	39	and	and	CCONJ
ejpam-6632	221	40	laplacian	laplacian	X
ejpam-6632	221	41	(	(	PUNCT
ejpam-6632	221	42	17.28	17.28	NUM
ejpam-6632	221	43	,	,	PUNCT
ejpam-6632	221	44	0.745	0.745	NUM
ejpam-6632	221	45	)	)	PUNCT
ejpam-6632	221	46	,	,	PUNCT
ejpam-6632	221	47	a	a	DET
ejpam-6632	221	48	clear	clear	ADJ
ejpam-6632	221	49	qualitative	qualitative	ADJ
ejpam-6632	221	50	advantage	advantage	NOUN
ejpam-6632	221	51	is	be	AUX
ejpam-6632	221	52	observed	observe	VERB
ejpam-6632	221	53	.	.	PUNCT
ejpam-6632	222	1	the	the	DET
ejpam-6632	222	2	enhanced	enhanced	ADJ
ejpam-6632	222	3	result	result	NOUN
ejpam-6632	222	4	distinctly	distinctly	ADV
ejpam-6632	222	5	reveals	reveal	VERB
ejpam-6632	222	6	internal	internal	ADJ
ejpam-6632	222	7	venation	venation	NOUN
ejpam-6632	222	8	patterns	pattern	NOUN
ejpam-6632	222	9	and	and	CCONJ
ejpam-6632	222	10	intricate	intricate	ADJ
ejpam-6632	222	11	surface	surface	NOUN
ejpam-6632	222	12	textures	texture	NOUN
ejpam-6632	222	13	of	of	ADP
ejpam-6632	222	14	the	the	DET
ejpam-6632	222	15	leaf	leaf	NOUN
ejpam-6632	222	16	,	,	PUNCT
ejpam-6632	222	17	providing	provide	VERB
ejpam-6632	222	18	biologically	biologically	ADV
ejpam-6632	222	19	relevant	relevant	ADJ
ejpam-6632	222	20	information	information	NOUN
ejpam-6632	222	21	suppressed	suppress	VERB
ejpam-6632	222	22	in	in	ADP
ejpam-6632	222	23	the	the	DET
ejpam-6632	222	24	classical	classical	ADJ
ejpam-6632	222	25	outputs	output	NOUN
ejpam-6632	222	26	.	.	PUNCT
ejpam-6632	223	1	this	this	PRON
ejpam-6632	223	2	underlines	underline	VERB
ejpam-6632	223	3	the	the	DET
ejpam-6632	223	4	model	model	NOUN
ejpam-6632	223	5	’s	’s	PART
ejpam-6632	223	6	effectiveness	effectiveness	NOUN
ejpam-6632	223	7	in	in	ADP
ejpam-6632	223	8	capturing	capture	VERB
ejpam-6632	223	9	subtle	subtle	ADJ
ejpam-6632	223	10	features	feature	NOUN
ejpam-6632	223	11	and	and	CCONJ
ejpam-6632	223	12	details	detail	NOUN
ejpam-6632	223	13	within	within	ADP
ejpam-6632	223	14	dark	dark	ADJ
ejpam-6632	223	15	or	or	CCONJ
ejpam-6632	223	16	low	low	ADJ
ejpam-6632	223	17	-	-	PUNCT
ejpam-6632	223	18	contrast	contrast	NOUN
ejpam-6632	223	19	regions	region	NOUN
ejpam-6632	223	20	,	,	PUNCT
ejpam-6632	223	21	validating	validate	VERB
ejpam-6632	223	22	the	the	DET
ejpam-6632	223	23	intentional	intentional	ADJ
ejpam-6632	223	24	trade	trade	NOUN
ejpam-6632	223	25	-	-	PUNCT
ejpam-6632	223	26	off	off	NOUN
ejpam-6632	223	27	in	in	ADP
ejpam-6632	223	28	traditional	traditional	ADJ
ejpam-6632	223	29	similarity	similarity	NOUN
ejpam-6632	223	30	metrics	metric	NOUN
ejpam-6632	223	31	.	.	PUNCT
ejpam-6632	224	1	9.4	9.4	NUM
ejpam-6632	224	2	.	.	PUNCT
ejpam-6632	225	1	overall	overall	ADJ
ejpam-6632	225	2	analysis	analysis	NOUN
ejpam-6632	225	3	overall	overall	ADJ
ejpam-6632	225	4	,	,	PUNCT
ejpam-6632	225	5	the	the	DET
ejpam-6632	225	6	side	side	NOUN
ejpam-6632	225	7	-	-	PUNCT
ejpam-6632	225	8	by	by	ADP
ejpam-6632	225	9	-	-	PUNCT
ejpam-6632	225	10	side	side	NOUN
ejpam-6632	225	11	visual	visual	ADJ
ejpam-6632	225	12	comparison	comparison	NOUN
ejpam-6632	225	13	across	across	ADP
ejpam-6632	225	14	all	all	DET
ejpam-6632	225	15	three	three	NUM
ejpam-6632	225	16	images	image	NOUN
ejpam-6632	225	17	not	not	PART
ejpam-6632	225	18	only	only	ADV
ejpam-6632	225	19	corroborates	corroborate	VERB
ejpam-6632	225	20	the	the	DET
ejpam-6632	225	21	metric	metric	ADV
ejpam-6632	225	22	-	-	PUNCT
ejpam-6632	225	23	based	base	VERB
ejpam-6632	225	24	results	result	NOUN
ejpam-6632	225	25	but	but	CCONJ
ejpam-6632	225	26	also	also	ADV
ejpam-6632	225	27	highlights	highlight	VERB
ejpam-6632	225	28	the	the	DET
ejpam-6632	225	29	unique	unique	ADJ
ejpam-6632	225	30	strength	strength	NOUN
ejpam-6632	225	31	of	of	ADP
ejpam-6632	225	32	the	the	DET
ejpam-6632	225	33	proposed	propose	VERB
ejpam-6632	225	34	framework	framework	NOUN
ejpam-6632	225	35	.	.	PUNCT
ejpam-6632	226	1	the	the	DET
ejpam-6632	226	2	algorithm	algorithm	NOUN
ejpam-6632	226	3	is	be	AUX
ejpam-6632	226	4	intentionally	intentionally	ADV
ejpam-6632	226	5	designed	design	VERB
ejpam-6632	226	6	to	to	PART
ejpam-6632	226	7	sacrifice	sacrifice	VERB
ejpam-6632	226	8	some	some	DET
ejpam-6632	226	9	aspects	aspect	NOUN
ejpam-6632	226	10	of	of	ADP
ejpam-6632	226	11	global	global	ADJ
ejpam-6632	226	12	similarity	similarity	NOUN
ejpam-6632	226	13	metrics	metric	NOUN
ejpam-6632	226	14	(	(	PUNCT
ejpam-6632	226	15	psnr	psnr	NOUN
ejpam-6632	226	16	,	,	PUNCT
ejpam-6632	226	17	ssim	ssim	NOUN
ejpam-6632	226	18	)	)	PUNCT
ejpam-6632	226	19	to	to	PART
ejpam-6632	226	20	achieve	achieve	VERB
ejpam-6632	226	21	remarkable	remarkable	ADJ
ejpam-6632	226	22	enhancement	enhancement	NOUN
ejpam-6632	226	23	of	of	ADP
ejpam-6632	226	24	subtle	subtle	ADJ
ejpam-6632	226	25	structures	structure	NOUN
ejpam-6632	226	26	and	and	CCONJ
ejpam-6632	226	27	features	feature	NOUN
ejpam-6632	226	28	in	in	ADP
ejpam-6632	226	29	dark	dark	ADJ
ejpam-6632	226	30	or	or	CCONJ
ejpam-6632	226	31	lowcontrast	lowcontrast	NOUN
ejpam-6632	226	32	areas	area	NOUN
ejpam-6632	226	33	.	.	PUNCT
ejpam-6632	227	1	this	this	PRON
ejpam-6632	227	2	enables	enable	VERB
ejpam-6632	227	3	clearer	clear	ADJ
ejpam-6632	227	4	,	,	PUNCT
ejpam-6632	227	5	more	more	ADV
ejpam-6632	227	6	insightful	insightful	ADJ
ejpam-6632	227	7	,	,	PUNCT
ejpam-6632	227	8	and	and	CCONJ
ejpam-6632	227	9	information	information	NOUN
ejpam-6632	227	10	-	-	PUNCT
ejpam-6632	227	11	rich	rich	ADJ
ejpam-6632	227	12	representations	representation	NOUN
ejpam-6632	227	13	that	that	PRON
ejpam-6632	227	14	far	far	ADV
ejpam-6632	227	15	exceed	exceed	VERB
ejpam-6632	227	16	what	what	PRON
ejpam-6632	227	17	classical	classical	ADJ
ejpam-6632	227	18	detectors	detector	NOUN
ejpam-6632	227	19	deliver	deliver	VERB
ejpam-6632	227	20	,	,	PUNCT
ejpam-6632	227	21	especially	especially	ADV
ejpam-6632	227	22	in	in	ADP
ejpam-6632	227	23	domains	domain	NOUN
ejpam-6632	227	24	where	where	SCONJ
ejpam-6632	227	25	nuanced	nuanced	ADJ
ejpam-6632	227	26	structural	structural	ADJ
ejpam-6632	227	27	detail	detail	NOUN
ejpam-6632	227	28	is	be	AUX
ejpam-6632	227	29	critically	critically	ADV
ejpam-6632	227	30	important	important	ADJ
ejpam-6632	227	31	.	.	PUNCT
ejpam-6632	228	1	10	10	NUM
ejpam-6632	228	2	.	.	X
ejpam-6632	228	3	conclusion	conclusion	NOUN
ejpam-6632	228	4	and	and	CCONJ
ejpam-6632	228	5	future	future	ADJ
ejpam-6632	228	6	scope	scope	NOUN
ejpam-6632	228	7	detection	detection	NOUN
ejpam-6632	228	8	of	of	ADP
ejpam-6632	228	9	edges	edge	NOUN
ejpam-6632	228	10	is	be	AUX
ejpam-6632	228	11	one	one	NUM
ejpam-6632	228	12	of	of	ADP
ejpam-6632	228	13	the	the	DET
ejpam-6632	228	14	most	most	ADV
ejpam-6632	228	15	fundamental	fundamental	ADJ
ejpam-6632	228	16	tasks	task	NOUN
ejpam-6632	228	17	in	in	ADP
ejpam-6632	228	18	image	image	NOUN
ejpam-6632	228	19	processing	processing	NOUN
ejpam-6632	228	20	since	since	SCONJ
ejpam-6632	228	21	it	it	PRON
ejpam-6632	228	22	highlights	highlight	VERB
ejpam-6632	228	23	large	large	ADJ
ejpam-6632	228	24	gradient	gradient	NOUN
ejpam-6632	228	25	changes	change	NOUN
ejpam-6632	228	26	in	in	ADP
ejpam-6632	228	27	intensity	intensity	NOUN
ejpam-6632	228	28	or	or	CCONJ
ejpam-6632	228	29	color	color	NOUN
ejpam-6632	228	30	that	that	PRON
ejpam-6632	228	31	mark	mark	VERB
ejpam-6632	228	32	the	the	DET
ejpam-6632	228	33	boundaries	boundary	NOUN
ejpam-6632	228	34	of	of	ADP
ejpam-6632	228	35	objects	object	NOUN
ejpam-6632	228	36	in	in	ADP
ejpam-6632	228	37	the	the	DET
ejpam-6632	228	38	image	image	NOUN
ejpam-6632	228	39	.	.	PUNCT
ejpam-6632	229	1	various	various	ADJ
ejpam-6632	229	2	mathematical	mathematical	ADJ
ejpam-6632	229	3	techniques	technique	NOUN
ejpam-6632	229	4	have	have	AUX
ejpam-6632	229	5	been	be	AUX
ejpam-6632	229	6	applied	apply	VERB
ejpam-6632	229	7	to	to	PART
ejpam-6632	229	8	enhance	enhance	VERB
ejpam-6632	229	9	edge	edge	NOUN
ejpam-6632	229	10	detection	detection	NOUN
ejpam-6632	229	11	quality	quality	NOUN
ejpam-6632	229	12	.	.	PUNCT
ejpam-6632	230	1	in	in	ADP
ejpam-6632	230	2	this	this	DET
ejpam-6632	230	3	paper	paper	NOUN
ejpam-6632	230	4	,	,	PUNCT
ejpam-6632	230	5	we	we	PRON
ejpam-6632	230	6	have	have	AUX
ejpam-6632	230	7	explored	explore	VERB
ejpam-6632	230	8	the	the	DET
ejpam-6632	230	9	fekete	fekete	NOUN
ejpam-6632	230	10	-	-	PUNCT
ejpam-6632	230	11	szegö	szegö	ADJ
ejpam-6632	230	12	coefficient	coefficient	NOUN
ejpam-6632	230	13	problem	problem	NOUN
ejpam-6632	230	14	for	for	SCONJ
ejpam-6632	230	15	functions	function	NOUN
ejpam-6632	230	16	belonging	belong	VERB
ejpam-6632	230	17	to	to	ADP
ejpam-6632	230	18	classes	class	NOUN
ejpam-6632	230	19	of	of	ADP
ejpam-6632	230	20	quasi	quasi	NOUN
ejpam-6632	230	21	-	-	NOUN
ejpam-6632	230	22	subordination	subordination	NOUN
ejpam-6632	230	23	and	and	CCONJ
ejpam-6632	230	24	further	far	ADV
ejpam-6632	230	25	indicate	indicate	VERB
ejpam-6632	230	26	its	its	PRON
ejpam-6632	230	27	application	application	NOUN
ejpam-6632	230	28	in	in	ADP
ejpam-6632	230	29	edge	edge	NOUN
ejpam-6632	230	30	detection	detection	NOUN
ejpam-6632	230	31	.	.	PUNCT
ejpam-6632	231	1	using	use	VERB
ejpam-6632	231	2	these	these	DET
ejpam-6632	231	3	coefficient	coefficient	NOUN
ejpam-6632	231	4	bounds	bound	NOUN
ejpam-6632	231	5	while	while	SCONJ
ejpam-6632	231	6	processing	processing	NOUN
ejpam-6632	231	7	images	image	NOUN
ejpam-6632	231	8	will	will	AUX
ejpam-6632	231	9	give	give	VERB
ejpam-6632	231	10	finer	fine	ADJ
ejpam-6632	231	11	control	control	NOUN
ejpam-6632	231	12	over	over	ADP
ejpam-6632	231	13	the	the	DET
ejpam-6632	231	14	structure	structure	NOUN
ejpam-6632	231	15	and	and	CCONJ
ejpam-6632	231	16	clarity	clarity	NOUN
ejpam-6632	231	17	of	of	ADP
ejpam-6632	231	18	the	the	DET
ejpam-6632	231	19	edges	edge	NOUN
ejpam-6632	231	20	that	that	PRON
ejpam-6632	231	21	will	will	AUX
ejpam-6632	231	22	be	be	AUX
ejpam-6632	231	23	detected	detect	VERB
ejpam-6632	231	24	.	.	PUNCT
ejpam-6632	232	1	the	the	DET
ejpam-6632	232	2	purpose	purpose	NOUN
ejpam-6632	232	3	of	of	ADP
ejpam-6632	232	4	our	our	PRON
ejpam-6632	232	5	study	study	NOUN
ejpam-6632	232	6	is	be	AUX
ejpam-6632	232	7	to	to	PART
ejpam-6632	232	8	consider	consider	VERB
ejpam-6632	232	9	some	some	DET
ejpam-6632	232	10	classes	class	NOUN
ejpam-6632	232	11	of	of	ADP
ejpam-6632	232	12	holomorphic	holomorphic	ADJ
ejpam-6632	232	13	functions	function	NOUN
ejpam-6632	232	14	with	with	ADP
ejpam-6632	232	15	certain	certain	ADJ
ejpam-6632	232	16	sakaguchi	sakaguchi	NOUN
ejpam-6632	232	17	and	and	CCONJ
ejpam-6632	232	18	fekete	fekete	NOUN
ejpam-6632	232	19	-	-	PUNCT
ejpam-6632	232	20	szegö	szegö	ADJ
ejpam-6632	232	21	coefficient	coefficient	NOUN
ejpam-6632	232	22	concepts	concept	NOUN
ejpam-6632	232	23	and	and	CCONJ
ejpam-6632	232	24	to	to	PART
ejpam-6632	232	25	discuss	discuss	VERB
ejpam-6632	232	26	the	the	DET
ejpam-6632	232	27	effects	effect	NOUN
ejpam-6632	232	28	which	which	PRON
ejpam-6632	232	29	such	such	ADJ
ejpam-6632	232	30	concepts	concept	NOUN
ejpam-6632	232	31	have	have	VERB
ejpam-6632	232	32	on	on	ADP
ejpam-6632	232	33	the	the	DET
ejpam-6632	232	34	behavior	behavior	NOUN
ejpam-6632	232	35	of	of	ADP
ejpam-6632	232	36	these	these	DET
ejpam-6632	232	37	functions	function	NOUN
ejpam-6632	232	38	.	.	PUNCT
ejpam-6632	233	1	we	we	PRON
ejpam-6632	233	2	present	present	VERB
ejpam-6632	233	3	,	,	PUNCT
ejpam-6632	233	4	in	in	ADP
ejpam-6632	233	5	theory	theory	NOUN
ejpam-6632	233	6	and	and	CCONJ
ejpam-6632	233	7	experiments	experiment	NOUN
ejpam-6632	233	8	,	,	PUNCT
ejpam-6632	233	9	how	how	SCONJ
ejpam-6632	233	10	the	the	DET
ejpam-6632	233	11	sakaguchi	sakaguchi	ADJ
ejpam-6632	233	12	and	and	CCONJ
ejpam-6632	233	13	fekete	fekete	NOUN
ejpam-6632	233	14	-	-	PUNCT
ejpam-6632	233	15	szegö	szegö	ADJ
ejpam-6632	233	16	coefficient	coefficient	NOUN
ejpam-6632	233	17	concepts	concept	NOUN
ejpam-6632	233	18	can	can	AUX
ejpam-6632	233	19	facilitate	facilitate	VERB
ejpam-6632	233	20	computational	computational	ADJ
ejpam-6632	233	21	edge	edge	NOUN
ejpam-6632	233	22	detection	detection	NOUN
ejpam-6632	233	23	techniques	technique	NOUN
ejpam-6632	233	24	.	.	PUNCT
ejpam-6632	234	1	r.	r.	PROPN
ejpam-6632	234	2	kamali	kamali	PROPN
ejpam-6632	234	3	et	et	PROPN
ejpam-6632	234	4	al	al	PROPN
ejpam-6632	234	5	.	.	PUNCT
ejpam-6632	234	6	/	/	SYM
ejpam-6632	234	7	eur	eur	PROPN
ejpam-6632	234	8	.	.	PUNCT
ejpam-6632	235	1	j.	j.	PROPN
ejpam-6632	235	2	pure	pure	PROPN
ejpam-6632	235	3	appl	appl	PROPN
ejpam-6632	235	4	.	.	PROPN
ejpam-6632	235	5	math	math	PROPN
ejpam-6632	235	6	,	,	PUNCT
ejpam-6632	235	7	18	18	NUM
ejpam-6632	235	8	(	(	PUNCT
ejpam-6632	235	9	4	4	NUM
ejpam-6632	235	10	)	)	PUNCT
ejpam-6632	235	11	(	(	PUNCT
ejpam-6632	235	12	2025	2025	NUM
ejpam-6632	235	13	)	)	PUNCT
ejpam-6632	235	14	,	,	PUNCT
ejpam-6632	235	15	6632	6632	NUM
ejpam-6632	235	16	17	17	NUM
ejpam-6632	235	17	of	of	ADP
ejpam-6632	235	18	19	19	NUM
ejpam-6632	235	19	this	this	DET
ejpam-6632	235	20	work	work	NOUN
ejpam-6632	235	21	may	may	AUX
ejpam-6632	235	22	be	be	AUX
ejpam-6632	235	23	further	far	ADV
ejpam-6632	235	24	developed	develop	VERB
ejpam-6632	235	25	by	by	ADP
ejpam-6632	235	26	extending	extend	VERB
ejpam-6632	235	27	coefficient	coefficient	NOUN
ejpam-6632	235	28	bounds	bound	NOUN
ejpam-6632	235	29	to	to	ADP
ejpam-6632	235	30	other	other	ADJ
ejpam-6632	235	31	subclasses	subclass	NOUN
ejpam-6632	235	32	of	of	ADP
ejpam-6632	235	33	analytic	analytic	ADJ
ejpam-6632	235	34	functions	function	NOUN
ejpam-6632	235	35	and	and	CCONJ
ejpam-6632	235	36	exploring	explore	VERB
ejpam-6632	235	37	higher	high	ADJ
ejpam-6632	235	38	-	-	PUNCT
ejpam-6632	235	39	order	order	NOUN
ejpam-6632	235	40	determinant	determinant	ADJ
ejpam-6632	235	41	problems	problem	NOUN
ejpam-6632	235	42	to	to	PART
ejpam-6632	235	43	obtain	obtain	VERB
ejpam-6632	235	44	sharper	sharp	ADJ
ejpam-6632	235	45	results	result	NOUN
ejpam-6632	235	46	.	.	PUNCT
ejpam-6632	236	1	future	future	ADJ
ejpam-6632	236	2	directions	direction	NOUN
ejpam-6632	236	3	also	also	ADV
ejpam-6632	236	4	include	include	VERB
ejpam-6632	236	5	designing	design	VERB
ejpam-6632	236	6	algorithms	algorithm	NOUN
ejpam-6632	236	7	that	that	PRON
ejpam-6632	236	8	adapt	adapt	VERB
ejpam-6632	236	9	these	these	DET
ejpam-6632	236	10	bounds	bound	NOUN
ejpam-6632	236	11	for	for	ADP
ejpam-6632	236	12	improved	improved	ADJ
ejpam-6632	236	13	edge	edge	NOUN
ejpam-6632	236	14	detection	detection	NOUN
ejpam-6632	236	15	in	in	ADP
ejpam-6632	236	16	noisy	noisy	ADJ
ejpam-6632	236	17	or	or	CCONJ
ejpam-6632	236	18	low	low	ADJ
ejpam-6632	236	19	-	-	PUNCT
ejpam-6632	236	20	contrast	contrast	NOUN
ejpam-6632	236	21	images	image	NOUN
ejpam-6632	236	22	.	.	PUNCT
ejpam-6632	237	1	the	the	DET
ejpam-6632	237	2	ideas	idea	NOUN
ejpam-6632	237	3	may	may	AUX
ejpam-6632	237	4	be	be	AUX
ejpam-6632	237	5	applied	apply	VERB
ejpam-6632	237	6	more	more	ADV
ejpam-6632	237	7	broadly	broadly	ADV
ejpam-6632	237	8	to	to	PART
ejpam-6632	237	9	image	image	VERB
ejpam-6632	237	10	analysis	analysis	NOUN
ejpam-6632	237	11	tasks	task	NOUN
ejpam-6632	237	12	such	such	ADJ
ejpam-6632	237	13	as	as	ADP
ejpam-6632	237	14	segmentation	segmentation	NOUN
ejpam-6632	237	15	,	,	PUNCT
ejpam-6632	237	16	texture	texture	ADJ
ejpam-6632	237	17	recognition	recognition	NOUN
ejpam-6632	237	18	,	,	PUNCT
ejpam-6632	237	19	and	and	CCONJ
ejpam-6632	237	20	feature	feature	NOUN
ejpam-6632	237	21	extraction	extraction	NOUN
ejpam-6632	237	22	,	,	PUNCT
ejpam-6632	237	23	and	and	CCONJ
ejpam-6632	237	24	can	can	AUX
ejpam-6632	237	25	be	be	AUX
ejpam-6632	237	26	integrated	integrate	VERB
ejpam-6632	237	27	with	with	ADP
ejpam-6632	237	28	machine	machine	NOUN
ejpam-6632	237	29	learning	learning	NOUN
ejpam-6632	237	30	approaches	approach	NOUN
ejpam-6632	237	31	for	for	ADP
ejpam-6632	237	32	hybrid	hybrid	ADJ
ejpam-6632	237	33	models	model	NOUN
ejpam-6632	237	34	.	.	PUNCT
ejpam-6632	238	1	potential	potential	ADJ
ejpam-6632	238	2	extensions	extension	NOUN
ejpam-6632	238	3	to	to	ADP
ejpam-6632	238	4	3d	3d	NUM
ejpam-6632	238	5	image	image	NOUN
ejpam-6632	238	6	data	datum	NOUN
ejpam-6632	238	7	and	and	CCONJ
ejpam-6632	238	8	real	real	ADJ
ejpam-6632	238	9	-	-	PUNCT
ejpam-6632	238	10	time	time	NOUN
ejpam-6632	238	11	video	video	NOUN
ejpam-6632	238	12	processing	processing	NOUN
ejpam-6632	238	13	,	,	PUNCT
ejpam-6632	238	14	particularly	particularly	ADV
ejpam-6632	238	15	in	in	ADP
ejpam-6632	238	16	medical	medical	ADJ
ejpam-6632	238	17	imaging	imaging	NOUN
ejpam-6632	238	18	and	and	CCONJ
ejpam-6632	238	19	remote	remote	ADJ
ejpam-6632	238	20	sensing	sensing	NOUN
ejpam-6632	238	21	,	,	PUNCT
ejpam-6632	238	22	could	could	AUX
ejpam-6632	238	23	further	far	ADV
ejpam-6632	238	24	enhance	enhance	VERB
ejpam-6632	238	25	the	the	DET
ejpam-6632	238	26	practical	practical	ADJ
ejpam-6632	238	27	value	value	NOUN
ejpam-6632	238	28	of	of	ADP
ejpam-6632	238	29	the	the	DET
ejpam-6632	238	30	study	study	NOUN
ejpam-6632	238	31	.	.	PUNCT
ejpam-6632	239	1	funding	fund	VERB
ejpam-6632	239	2	this	this	DET
ejpam-6632	239	3	research	research	NOUN
ejpam-6632	239	4	was	be	AUX
ejpam-6632	239	5	supported	support	VERB
ejpam-6632	239	6	by	by	ADP
ejpam-6632	239	7	university	university	NOUN
ejpam-6632	239	8	of	of	ADP
ejpam-6632	239	9	phayao	phayao	NOUN
ejpam-6632	239	10	and	and	CCONJ
ejpam-6632	239	11	thailand	thailand	PROPN
ejpam-6632	239	12	science	science	PROPN
ejpam-6632	239	13	research	research	PROPN
ejpam-6632	239	14	and	and	CCONJ
ejpam-6632	239	15	innovation	innovation	NOUN
ejpam-6632	239	16	fund	fund	NOUN
ejpam-6632	239	17	(	(	PUNCT
ejpam-6632	239	18	fundamental	fundamental	ADJ
ejpam-6632	239	19	fund	fund	NOUN
ejpam-6632	239	20	2026	2026	NUM
ejpam-6632	239	21	,	,	PUNCT
ejpam-6632	239	22	grant	grant	NOUN
ejpam-6632	239	23	 	 	SPACE
ejpam-6632	239	24	no	no	NOUN
ejpam-6632	239	25	.	.	PUNCT
ejpam-6632	239	26	 	 	SPACE
ejpam-6632	239	27	xxxx/2568	xxxx/2568	PROPN
ejpam-6632	239	28	)	)	PUNCT
ejpam-6632	239	29	.	.	PUNCT
ejpam-6632	240	1	author	author	NOUN
ejpam-6632	240	2	contributions	contribution	NOUN
ejpam-6632	240	3	:	:	PUNCT
ejpam-6632	240	4	the	the	DET
ejpam-6632	240	5	authors	author	NOUN
ejpam-6632	240	6	equally	equally	ADV
ejpam-6632	240	7	conceived	conceive	VERB
ejpam-6632	240	8	of	of	ADP
ejpam-6632	240	9	the	the	DET
ejpam-6632	240	10	study	study	NOUN
ejpam-6632	240	11	,	,	PUNCT
ejpam-6632	240	12	participated	participate	VERB
ejpam-6632	240	13	in	in	ADP
ejpam-6632	240	14	its	its	PRON
ejpam-6632	240	15	design	design	NOUN
ejpam-6632	240	16	and	and	CCONJ
ejpam-6632	240	17	coordination	coordination	NOUN
ejpam-6632	240	18	,	,	PUNCT
ejpam-6632	240	19	drafted	draft	VERB
ejpam-6632	240	20	the	the	DET
ejpam-6632	240	21	manuscript	manuscript	NOUN
ejpam-6632	240	22	,	,	PUNCT
ejpam-6632	240	23	participated	participate	VERB
ejpam-6632	240	24	in	in	ADP
ejpam-6632	240	25	the	the	DET
ejpam-6632	240	26	sequence	sequence	NOUN
ejpam-6632	240	27	alignment	alignment	NOUN
ejpam-6632	240	28	,	,	PUNCT
ejpam-6632	240	29	and	and	CCONJ
ejpam-6632	240	30	read	read	VERB
ejpam-6632	240	31	and	and	CCONJ
ejpam-6632	240	32	approved	approve	VERB
ejpam-6632	240	33	the	the	DET
ejpam-6632	240	34	final	final	ADJ
ejpam-6632	240	35	manuscript	manuscript	NOUN
ejpam-6632	240	36	.	.	PUNCT
ejpam-6632	241	1	conflicts	conflict	NOUN
ejpam-6632	241	2	of	of	ADP
ejpam-6632	241	3	interest	interest	NOUN
ejpam-6632	241	4	:	:	PUNCT
ejpam-6632	241	5	the	the	DET
ejpam-6632	241	6	authors	author	NOUN
ejpam-6632	241	7	declare	declare	VERB
ejpam-6632	241	8	that	that	SCONJ
ejpam-6632	241	9	they	they	PRON
ejpam-6632	241	10	have	have	VERB
ejpam-6632	241	11	no	no	DET
ejpam-6632	241	12	competing	compete	VERB
ejpam-6632	241	13	interests	interest	NOUN
ejpam-6632	241	14	.	.	PUNCT
ejpam-6632	242	1	references	reference	NOUN
ejpam-6632	242	2	[	[	X
ejpam-6632	242	3	1	1	NUM
ejpam-6632	242	4	]	]	X
ejpam-6632	242	5	peter	peter	PROPN
ejpam-6632	242	6	duren	duren	PROPN
ejpam-6632	242	7	.	.	PUNCT
ejpam-6632	242	8	subordination	subordination	NOUN
ejpam-6632	242	9	in	in	ADP
ejpam-6632	242	10	complex	complex	ADJ
ejpam-6632	242	11	analysis	analysis	NOUN
ejpam-6632	242	12	,	,	PUNCT
ejpam-6632	242	13	599	599	NUM
ejpam-6632	242	14	of	of	ADP
ejpam-6632	242	15	lecture	lecture	NOUN
ejpam-6632	242	16	notes	note	NOUN
ejpam-6632	242	17	in	in	ADP
ejpam-6632	242	18	mathematics	mathematic	NOUN
ejpam-6632	242	19	,	,	PUNCT
ejpam-6632	242	20	22–29	22–29	PROPN
ejpam-6632	242	21	,	,	PUNCT
ejpam-6632	242	22	1977	1977	NUM
ejpam-6632	242	23	.	.	PUNCT
ejpam-6632	243	1	[	[	X
ejpam-6632	243	2	2	2	X
ejpam-6632	243	3	]	]	PUNCT
ejpam-6632	243	4	maisarah	maisarah	PROPN
ejpam-6632	243	5	haji	haji	PROPN
ejpam-6632	243	6	mohd	mohd	PROPN
ejpam-6632	243	7	and	and	CCONJ
ejpam-6632	243	8	maslina	maslina	PROPN
ejpam-6632	243	9	darus	darus	PROPN
ejpam-6632	243	10	.	.	PUNCT
ejpam-6632	244	1	fekete	fekete	NOUN
ejpam-6632	244	2	-	-	PUNCT
ejpam-6632	244	3	szegö	szegö	PROPN
ejpam-6632	244	4	problems	problem	NOUN
ejpam-6632	244	5	for	for	ADP
ejpam-6632	244	6	quasi	quasi	ADJ
ejpam-6632	244	7	-	-	ADJ
ejpam-6632	244	8	subordination	subordination	ADJ
ejpam-6632	244	9	classes	class	NOUN
ejpam-6632	244	10	.	.	PUNCT
ejpam-6632	245	1	in	in	ADP
ejpam-6632	245	2	abstract	abstract	ADJ
ejpam-6632	245	3	and	and	CCONJ
ejpam-6632	245	4	applied	apply	VERB
ejpam-6632	245	5	analysis	analysis	NOUN
ejpam-6632	245	6	,	,	PUNCT
ejpam-6632	245	7	volume	volume	NOUN
ejpam-6632	245	8	2012	2012	NUM
ejpam-6632	245	9	,	,	PUNCT
ejpam-6632	245	10	page	page	NOUN
ejpam-6632	245	11	192956	192956	NUM
ejpam-6632	245	12	.	.	PUNCT
ejpam-6632	246	1	wiley	wiley	PROPN
ejpam-6632	246	2	online	online	PROPN
ejpam-6632	246	3	library	library	PROPN
ejpam-6632	246	4	,	,	PUNCT
ejpam-6632	246	5	2012	2012	NUM
ejpam-6632	246	6	.	.	PUNCT
ejpam-6632	247	1	[	[	X
ejpam-6632	247	2	3	3	X
ejpam-6632	247	3	]	]	X
ejpam-6632	247	4	hava	hava	PROPN
ejpam-6632	247	5	arikan	arikan	PROPN
ejpam-6632	247	6	,	,	PUNCT
ejpam-6632	247	7	murat	murat	PROPN
ejpam-6632	247	8	caglar	caglar	PROPN
ejpam-6632	247	9	,	,	PUNCT
ejpam-6632	247	10	and	and	CCONJ
ejpam-6632	247	11	halit	halit	ADJ
ejpam-6632	247	12	orhan	orhan	PROPN
ejpam-6632	247	13	.	.	PUNCT
ejpam-6632	248	1	fekete	fekete	PROPN
ejpam-6632	248	2	-	-	PUNCT
ejpam-6632	248	3	szego	szego	PROPN
ejpam-6632	248	4	problem	problem	NOUN
ejpam-6632	248	5	for	for	ADP
ejpam-6632	248	6	subclasses	subclass	NOUN
ejpam-6632	248	7	of	of	ADP
ejpam-6632	248	8	analytic	analytic	ADJ
ejpam-6632	248	9	functions	function	NOUN
ejpam-6632	248	10	associated	associate	VERB
ejpam-6632	248	11	with	with	ADP
ejpam-6632	248	12	quasi	quasi	NOUN
ejpam-6632	248	13	-	-	NOUN
ejpam-6632	248	14	subordination	subordination	NOUN
ejpam-6632	248	15	.	.	PUNCT
ejpam-6632	249	1	bulletin	bulletin	NOUN
ejpam-6632	249	2	of	of	ADP
ejpam-6632	249	3	the	the	DET
ejpam-6632	249	4	transilvania	transilvania	PROPN
ejpam-6632	249	5	university	university	PROPN
ejpam-6632	249	6	of	of	ADP
ejpam-6632	249	7	brasov	brasov	PROPN
ejpam-6632	249	8	.	.	PUNCT
ejpam-6632	250	1	series	series	PROPN
ejpam-6632	250	2	iii	iii	PROPN
ejpam-6632	250	3	:	:	PUNCT
ejpam-6632	250	4	mathematics	mathematic	NOUN
ejpam-6632	250	5	and	and	CCONJ
ejpam-6632	250	6	computer	computer	NOUN
ejpam-6632	250	7	science	science	NOUN
ejpam-6632	250	8	,	,	PUNCT
ejpam-6632	250	9	pages	page	NOUN
ejpam-6632	250	10	221–232	221–232	NUM
ejpam-6632	250	11	,	,	PUNCT
ejpam-6632	250	12	2019	2019	NUM
ejpam-6632	250	13	.	.	PUNCT
ejpam-6632	251	1	[	[	X
ejpam-6632	251	2	4	4	X
ejpam-6632	251	3	]	]	PUNCT
ejpam-6632	251	4	s.	s.	PROPN
ejpam-6632	251	5	prema	prema	PROPN
ejpam-6632	251	6	and	and	CCONJ
ejpam-6632	251	7	b.	b.	PROPN
ejpam-6632	251	8	srutha	srutha	PROPN
ejpam-6632	251	9	keerthi	keerthi	PROPN
ejpam-6632	251	10	.	.	PUNCT
ejpam-6632	252	1	coefficient	coefficient	NOUN
ejpam-6632	252	2	estimates	estimate	NOUN
ejpam-6632	252	3	for	for	ADP
ejpam-6632	252	4	certain	certain	ADJ
ejpam-6632	252	5	subclasses	subclass	NOUN
ejpam-6632	252	6	of	of	ADP
ejpam-6632	252	7	meromorphic	meromorphic	ADJ
ejpam-6632	252	8	bi	bi	ADJ
ejpam-6632	252	9	-	-	ADJ
ejpam-6632	252	10	univalent	univalent	ADJ
ejpam-6632	252	11	functions	function	NOUN
ejpam-6632	252	12	.	.	PUNCT
ejpam-6632	253	1	asia	asia	PROPN
ejpam-6632	253	2	life	life	PROPN
ejpam-6632	253	3	sciences	sciences	PROPN
ejpam-6632	253	4	,	,	PUNCT
ejpam-6632	253	5	2017(1):181–192	2017(1):181–192	NUM
ejpam-6632	253	6	,	,	PUNCT
ejpam-6632	253	7	2017	2017	NUM
ejpam-6632	253	8	.	.	PUNCT
ejpam-6632	254	1	[	[	X
ejpam-6632	254	2	5	5	X
ejpam-6632	254	3	]	]	PUNCT
ejpam-6632	254	4	b.	b.	PROPN
ejpam-6632	254	5	srutha	srutha	PROPN
ejpam-6632	254	6	keerthi	keerthi	PROPN
ejpam-6632	254	7	and	and	CCONJ
ejpam-6632	254	8	s.	s.	PROPN
ejpam-6632	254	9	prema	prema	PROPN
ejpam-6632	254	10	.	.	PUNCT
ejpam-6632	255	1	coefficient	coefficient	ADJ
ejpam-6632	255	2	problem	problem	NOUN
ejpam-6632	255	3	for	for	ADP
ejpam-6632	255	4	certain	certain	ADJ
ejpam-6632	255	5	classes	class	NOUN
ejpam-6632	255	6	of	of	ADP
ejpam-6632	255	7	analytic	analytic	ADJ
ejpam-6632	255	8	functions	function	NOUN
ejpam-6632	255	9	using	use	VERB
ejpam-6632	255	10	hankel	hankel	NOUN
ejpam-6632	255	11	determinant	determinant	ADJ
ejpam-6632	255	12	.	.	PUNCT
ejpam-6632	256	1	international	international	ADJ
ejpam-6632	256	2	journal	journal	NOUN
ejpam-6632	256	3	of	of	ADP
ejpam-6632	256	4	innovative	innovative	ADJ
ejpam-6632	256	5	technology	technology	NOUN
ejpam-6632	256	6	and	and	CCONJ
ejpam-6632	256	7	exploring	explore	VERB
ejpam-6632	256	8	engineering	engineering	NOUN
ejpam-6632	256	9	,	,	PUNCT
ejpam-6632	256	10	8(10s):301–307	8(10s):301–307	NUM
ejpam-6632	256	11	,	,	PUNCT
ejpam-6632	256	12	2019	2019	NUM
ejpam-6632	256	13	.	.	PUNCT
ejpam-6632	257	1	special	special	ADJ
ejpam-6632	257	2	issue	issue	NOUN
ejpam-6632	257	3	.	.	PUNCT
ejpam-6632	258	1	[	[	X
ejpam-6632	258	2	6	6	NUM
ejpam-6632	258	3	]	]	X
ejpam-6632	258	4	wancang	wancang	PROPN
ejpam-6632	258	5	ma	ma	PROPN
ejpam-6632	258	6	.	.	PROPN
ejpam-6632	259	1	a	a	DET
ejpam-6632	259	2	unified	unified	ADJ
ejpam-6632	259	3	treatment	treatment	NOUN
ejpam-6632	259	4	of	of	ADP
ejpam-6632	259	5	some	some	DET
ejpam-6632	259	6	special	special	ADJ
ejpam-6632	259	7	classes	class	NOUN
ejpam-6632	259	8	of	of	ADP
ejpam-6632	259	9	univalent	univalent	ADJ
ejpam-6632	259	10	functions	function	NOUN
ejpam-6632	259	11	.	.	PUNCT
ejpam-6632	260	1	in	in	ADP
ejpam-6632	260	2	proceedings	proceeding	NOUN
ejpam-6632	260	3	of	of	ADP
ejpam-6632	260	4	the	the	DET
ejpam-6632	260	5	conference	conference	NOUN
ejpam-6632	260	6	on	on	ADP
ejpam-6632	260	7	complex	complex	ADJ
ejpam-6632	260	8	analysis	analysis	NOUN
ejpam-6632	260	9	,	,	PUNCT
ejpam-6632	260	10	1992	1992	NUM
ejpam-6632	260	11	.	.	PUNCT
ejpam-6632	261	1	international	international	PROPN
ejpam-6632	261	2	press	press	PROPN
ejpam-6632	261	3	inc	inc	PROPN
ejpam-6632	261	4	.	.	PROPN
ejpam-6632	261	5	,	,	PUNCT
ejpam-6632	261	6	1992	1992	NUM
ejpam-6632	261	7	.	.	PUNCT
ejpam-6632	262	1	[	[	X
ejpam-6632	262	2	7	7	NUM
ejpam-6632	262	3	]	]	SYM
ejpam-6632	262	4	b	b	X
ejpam-6632	262	5	aarthy	aarthy	ADJ
ejpam-6632	262	6	and	and	CCONJ
ejpam-6632	262	7	b	b	NOUN
ejpam-6632	262	8	srutha	srutha	PROPN
ejpam-6632	262	9	keerthi	keerthi	PROPN
ejpam-6632	262	10	.	.	PUNCT
ejpam-6632	263	1	enhancement	enhancement	NOUN
ejpam-6632	263	2	of	of	ADP
ejpam-6632	263	3	various	various	ADJ
ejpam-6632	263	4	images	image	NOUN
ejpam-6632	263	5	using	use	VERB
ejpam-6632	263	6	coefficients	coefficient	NOUN
ejpam-6632	263	7	obtained	obtain	VERB
ejpam-6632	263	8	from	from	ADP
ejpam-6632	263	9	a	a	DET
ejpam-6632	263	10	class	class	NOUN
ejpam-6632	263	11	of	of	ADP
ejpam-6632	263	12	sakaguchi	sakaguchi	ADJ
ejpam-6632	263	13	type	type	NOUN
ejpam-6632	263	14	functions	function	NOUN
ejpam-6632	263	15	.	.	PUNCT
ejpam-6632	264	1	scientific	scientific	ADJ
ejpam-6632	264	2	reports	report	NOUN
ejpam-6632	264	3	,	,	PUNCT
ejpam-6632	264	4	13(1):18722	13(1):18722	NUM
ejpam-6632	264	5	,	,	PUNCT
ejpam-6632	264	6	2023	2023	NUM
ejpam-6632	264	7	.	.	PUNCT
ejpam-6632	265	1	[	[	X
ejpam-6632	265	2	8	8	NUM
ejpam-6632	265	3	]	]	X
ejpam-6632	265	4	malcolm	malcolm	PROPN
ejpam-6632	265	5	s	s	PROPN
ejpam-6632	265	6	robertson	robertson	PROPN
ejpam-6632	265	7	.	.	PUNCT
ejpam-6632	266	1	quasi	quasi	ADJ
ejpam-6632	266	2	-	-	NOUN
ejpam-6632	266	3	subordination	subordination	NOUN
ejpam-6632	266	4	and	and	CCONJ
ejpam-6632	266	5	coefficient	coefficient	NOUN
ejpam-6632	266	6	conjectures	conjecture	VERB
ejpam-6632	266	7	.	.	PUNCT
ejpam-6632	267	1	1970	1970	NUM
ejpam-6632	267	2	.	.	PUNCT
ejpam-6632	268	1	[	[	X
ejpam-6632	268	2	9	9	NUM
ejpam-6632	268	3	]	]	PUNCT
ejpam-6632	268	4	osman	osman	PROPN
ejpam-6632	268	5	altintas	altintas	PROPN
ejpam-6632	268	6	and	and	CCONJ
ejpam-6632	268	7	shigeyoshi	shigeyoshi	PROPN
ejpam-6632	268	8	owa	owa	PROPN
ejpam-6632	268	9	.	.	PUNCT
ejpam-6632	268	10	majorizations	majorization	NOUN
ejpam-6632	268	11	and	and	CCONJ
ejpam-6632	268	12	quasi	quasi	NOUN
ejpam-6632	268	13	-	-	NOUN
ejpam-6632	268	14	subordinations	subordination	NOUN
ejpam-6632	268	15	for	for	ADP
ejpam-6632	268	16	certain	certain	ADJ
ejpam-6632	268	17	analytic	analytic	ADJ
ejpam-6632	268	18	functions	function	NOUN
ejpam-6632	268	19	.	.	PUNCT
ejpam-6632	269	1	1992	1992	NUM
ejpam-6632	269	2	.	.	PUNCT
ejpam-6632	270	1	[	[	X
ejpam-6632	270	2	10	10	NUM
ejpam-6632	270	3	]	]	X
ejpam-6632	270	4	suk	suk	NOUN
ejpam-6632	270	5	-	-	PUNCT
ejpam-6632	270	6	young	young	ADJ
ejpam-6632	270	7	lee	lee	PROPN
ejpam-6632	270	8	.	.	PUNCT
ejpam-6632	271	1	quasi	quasi	ADJ
ejpam-6632	271	2	-	-	ADJ
ejpam-6632	271	3	subordinate	subordinate	ADJ
ejpam-6632	271	4	functions	function	NOUN
ejpam-6632	271	5	and	and	CCONJ
ejpam-6632	271	6	coefficient	coefficient	NOUN
ejpam-6632	271	7	conjectures	conjecture	VERB
ejpam-6632	271	8	.	.	PUNCT
ejpam-6632	272	1	journal	journal	NOUN
ejpam-6632	272	2	of	of	ADP
ejpam-6632	272	3	the	the	DET
ejpam-6632	272	4	korean	korean	PROPN
ejpam-6632	272	5	mathematical	mathematical	ADJ
ejpam-6632	272	6	society	society	NOUN
ejpam-6632	272	7	,	,	PUNCT
ejpam-6632	272	8	12(1):43–50	12(1):43–50	NUM
ejpam-6632	272	9	,	,	PUNCT
ejpam-6632	272	10	1975	1975	NUM
ejpam-6632	272	11	.	.	PUNCT
ejpam-6632	273	1	[	[	X
ejpam-6632	273	2	11	11	NUM
ejpam-6632	273	3	]	]	X
ejpam-6632	273	4	fuyao	fuyao	PROPN
ejpam-6632	273	5	ren	ren	PROPN
ejpam-6632	273	6	,	,	PUNCT
ejpam-6632	273	7	shigeyoshi	shigeyoshi	ADJ
ejpam-6632	273	8	owa	owa	PROPN
ejpam-6632	273	9	,	,	PUNCT
ejpam-6632	273	10	and	and	CCONJ
ejpam-6632	273	11	seiichi	seiichi	PROPN
ejpam-6632	273	12	fukui	fukui	PROPN
ejpam-6632	273	13	.	.	PUNCT
ejpam-6632	274	1	some	some	DET
ejpam-6632	274	2	inequalities	inequality	NOUN
ejpam-6632	274	3	on	on	ADP
ejpam-6632	274	4	quasi	quasi	ADJ
ejpam-6632	274	5	-	-	ADJ
ejpam-6632	274	6	subordinate	subordinate	ADJ
ejpam-6632	274	7	functions	function	NOUN
ejpam-6632	274	8	.	.	PUNCT
ejpam-6632	275	1	bulletin	bulletin	NOUN
ejpam-6632	275	2	of	of	ADP
ejpam-6632	275	3	the	the	DET
ejpam-6632	275	4	australian	australian	ADJ
ejpam-6632	275	5	mathematical	mathematical	ADJ
ejpam-6632	275	6	society	society	NOUN
ejpam-6632	275	7	,	,	PUNCT
ejpam-6632	275	8	43(2):317–324	43(2):317–324	PROPN
ejpam-6632	275	9	,	,	PUNCT
ejpam-6632	275	10	1991	1991	NUM
ejpam-6632	275	11	.	.	PUNCT
ejpam-6632	276	1	[	[	X
ejpam-6632	276	2	12	12	NUM
ejpam-6632	276	3	]	]	PUNCT
ejpam-6632	276	4	ibrar	ibrar	NOUN
ejpam-6632	276	5	ahmad	ahmad	PROPN
ejpam-6632	276	6	,	,	PUNCT
ejpam-6632	276	7	syed	syed	ADJ
ejpam-6632	276	8	ghoos	ghoos	PROPN
ejpam-6632	276	9	ali	ali	PROPN
ejpam-6632	276	10	shah	shah	PROPN
ejpam-6632	276	11	,	,	PUNCT
ejpam-6632	276	12	saqib	saqib	PROPN
ejpam-6632	276	13	hussain	hussain	PROPN
ejpam-6632	276	14	,	,	PUNCT
ejpam-6632	276	15	maslina	maslina	NOUN
ejpam-6632	276	16	darus	darus	NOUN
ejpam-6632	276	17	,	,	PUNCT
ejpam-6632	276	18	and	and	CCONJ
ejpam-6632	276	19	babar	babar	PROPN
ejpam-6632	276	20	ahmad	ahmad	PROPN
ejpam-6632	276	21	.	.	PUNCT
ejpam-6632	276	22	fekete	fekete	NOUN
ejpam-6632	276	23	-	-	PUNCT
ejpam-6632	276	24	szegö	szegö	NOUN
ejpam-6632	276	25	functional	functional	ADJ
ejpam-6632	276	26	for	for	ADP
ejpam-6632	276	27	bi	bi	ADJ
ejpam-6632	276	28	-	-	ADJ
ejpam-6632	276	29	univalent	univalent	ADJ
ejpam-6632	276	30	functions	function	NOUN
ejpam-6632	276	31	related	relate	VERB
ejpam-6632	276	32	with	with	ADP
ejpam-6632	276	33	gegenbauer	gegenbauer	NOUN
ejpam-6632	276	34	polynomials	polynomial	NOUN
ejpam-6632	276	35	.	.	PUNCT
ejpam-6632	277	1	journal	journal	PROPN
ejpam-6632	277	2	of	of	ADP
ejpam-6632	277	3	mathematics	mathematic	NOUN
ejpam-6632	277	4	,	,	PUNCT
ejpam-6632	277	5	2022(1):2705203	2022(1):2705203	NOUN
ejpam-6632	277	6	,	,	PUNCT
ejpam-6632	277	7	2022	2022	NUM
ejpam-6632	277	8	.	.	PUNCT
ejpam-6632	278	1	[	[	X
ejpam-6632	278	2	13	13	NUM
ejpam-6632	278	3	]	]	X
ejpam-6632	278	4	hm	hm	X
ejpam-6632	278	5	srivastava	srivastava	PROPN
ejpam-6632	278	6	,	,	PUNCT
ejpam-6632	278	7	muhammet	muhammet	PROPN
ejpam-6632	278	8	kamali	kamali	PROPN
ejpam-6632	278	9	,	,	PUNCT
ejpam-6632	278	10	and	and	CCONJ
ejpam-6632	278	11	anarkül	anarkül	VERB
ejpam-6632	278	12	urdaletova	urdaletova	PROPN
ejpam-6632	278	13	.	.	PUNCT
ejpam-6632	279	1	a	a	DET
ejpam-6632	279	2	study	study	NOUN
ejpam-6632	279	3	of	of	ADP
ejpam-6632	279	4	the	the	DET
ejpam-6632	279	5	fekete	fekete	NOUN
ejpam-6632	279	6	-	-	PUNCT
ejpam-6632	279	7	szegö	szegö	ADJ
ejpam-6632	279	8	functional	functional	ADJ
ejpam-6632	279	9	and	and	CCONJ
ejpam-6632	279	10	coefficient	coefficient	ADJ
ejpam-6632	279	11	estimates	estimate	NOUN
ejpam-6632	279	12	for	for	ADP
ejpam-6632	279	13	subclasses	subclass	NOUN
ejpam-6632	279	14	of	of	ADP
ejpam-6632	279	15	analytic	analytic	ADJ
ejpam-6632	279	16	functions	function	NOUN
ejpam-6632	279	17	satisfying	satisfy	VERB
ejpam-6632	279	18	a	a	DET
ejpam-6632	279	19	certain	certain	ADJ
ejpam-6632	279	20	r.	r.	PROPN
ejpam-6632	279	21	kamali	kamali	PROPN
ejpam-6632	279	22	et	et	PROPN
ejpam-6632	279	23	al	al	PROPN
ejpam-6632	279	24	.	.	PUNCT
ejpam-6632	279	25	/	/	SYM
ejpam-6632	279	26	eur	eur	PROPN
ejpam-6632	279	27	.	.	PUNCT
ejpam-6632	280	1	j.	j.	PROPN
ejpam-6632	280	2	pure	pure	PROPN
ejpam-6632	280	3	appl	appl	PROPN
ejpam-6632	280	4	.	.	PROPN
ejpam-6632	280	5	math	math	PROPN
ejpam-6632	280	6	,	,	PUNCT
ejpam-6632	280	7	18	18	NUM
ejpam-6632	280	8	(	(	PUNCT
ejpam-6632	280	9	4	4	NUM
ejpam-6632	280	10	)	)	PUNCT
ejpam-6632	280	11	(	(	PUNCT
ejpam-6632	280	12	2025	2025	NUM
ejpam-6632	280	13	)	)	PUNCT
ejpam-6632	280	14	,	,	PUNCT
ejpam-6632	280	15	6632	6632	NUM
ejpam-6632	280	16	18	18	NUM
ejpam-6632	280	17	of	of	ADP
ejpam-6632	280	18	19	19	NUM
ejpam-6632	280	19	subordination	subordination	NOUN
ejpam-6632	280	20	condition	condition	NOUN
ejpam-6632	280	21	and	and	CCONJ
ejpam-6632	280	22	associated	associate	VERB
ejpam-6632	280	23	with	with	ADP
ejpam-6632	280	24	the	the	DET
ejpam-6632	280	25	gegenbauer	gegenbauer	NOUN
ejpam-6632	280	26	polynomials	polynomial	NOUN
ejpam-6632	280	27	.	.	PUNCT
ejpam-6632	281	1	aims	aim	VERB
ejpam-6632	281	2	math	math	NOUN
ejpam-6632	281	3	,	,	PUNCT
ejpam-6632	281	4	7(2):2568–2584	7(2):2568–2584	PROPN
ejpam-6632	281	5	,	,	PUNCT
ejpam-6632	281	6	2022	2022	NUM
ejpam-6632	281	7	.	.	PUNCT
ejpam-6632	282	1	[	[	X
ejpam-6632	282	2	14	14	NUM
ejpam-6632	282	3	]	]	X
ejpam-6632	282	4	palpandy	palpandy	ADJ
ejpam-6632	282	5	gurusamy	gurusamy	NOUN
ejpam-6632	282	6	,	,	PUNCT
ejpam-6632	282	7	janusz	janusz	PROPN
ejpam-6632	282	8	sokół	sokół	NOUN
ejpam-6632	282	9	,	,	PUNCT
ejpam-6632	282	10	and	and	CCONJ
ejpam-6632	282	11	srikandan	srikandan	PROPN
ejpam-6632	282	12	sivasubramanian	sivasubramanian	PROPN
ejpam-6632	282	13	.	.	PUNCT
ejpam-6632	283	1	the	the	DET
ejpam-6632	283	2	fekete	fekete	PROPN
ejpam-6632	283	3	–	–	PUNCT
ejpam-6632	283	4	szegö	szegö	ADJ
ejpam-6632	283	5	functional	functional	ADJ
ejpam-6632	283	6	associated	associate	VERB
ejpam-6632	283	7	with	with	ADP
ejpam-6632	283	8	k	k	X
ejpam-6632	283	9	-	-	PUNCT
ejpam-6632	283	10	th	th	VERB
ejpam-6632	283	11	root	root	NOUN
ejpam-6632	283	12	transformation	transformation	NOUN
ejpam-6632	283	13	using	use	VERB
ejpam-6632	283	14	quasi	quasi	NOUN
ejpam-6632	283	15	-	-	NOUN
ejpam-6632	283	16	subordination	subordination	NOUN
ejpam-6632	283	17	.	.	PUNCT
ejpam-6632	284	1	comptes	compte	VERB
ejpam-6632	284	2	rendus	rendus	PROPN
ejpam-6632	284	3	.	.	PUNCT
ejpam-6632	285	1	mathématique	mathématique	PROPN
ejpam-6632	285	2	,	,	PUNCT
ejpam-6632	285	3	353(7):617–622	353(7):617–622	NUM
ejpam-6632	285	4	,	,	PUNCT
ejpam-6632	285	5	2015	2015	NUM
ejpam-6632	285	6	.	.	PUNCT
ejpam-6632	286	1	[	[	X
ejpam-6632	286	2	15	15	NUM
ejpam-6632	286	3	]	]	X
ejpam-6632	286	4	sheza	sheza	PROPN
ejpam-6632	286	5	m	m	PROPN
ejpam-6632	286	6	el	el	PROPN
ejpam-6632	286	7	-	-	PUNCT
ejpam-6632	286	8	deeb	deeb	PROPN
ejpam-6632	286	9	and	and	CCONJ
ejpam-6632	286	10	luminita	luminita	PROPN
ejpam-6632	286	11	-	-	PUNCT
ejpam-6632	286	12	ioana	ioana	PROPN
ejpam-6632	286	13	cotîrlă	cotîrlă	PROPN
ejpam-6632	286	14	.	.	PUNCT
ejpam-6632	287	1	coefficient	coefficient	NOUN
ejpam-6632	287	2	estimates	estimate	NOUN
ejpam-6632	287	3	for	for	ADP
ejpam-6632	287	4	quasi	quasi	ADJ
ejpam-6632	287	5	-	-	ADJ
ejpam-6632	287	6	subordination	subordination	ADJ
ejpam-6632	287	7	classes	class	NOUN
ejpam-6632	287	8	connected	connect	VERB
ejpam-6632	287	9	with	with	ADP
ejpam-6632	287	10	the	the	DET
ejpam-6632	287	11	combination	combination	NOUN
ejpam-6632	287	12	of	of	ADP
ejpam-6632	287	13	q	q	NOUN
ejpam-6632	287	14	-	-	PUNCT
ejpam-6632	287	15	convolution	convolution	NOUN
ejpam-6632	287	16	and	and	CCONJ
ejpam-6632	287	17	error	error	NOUN
ejpam-6632	287	18	function	function	NOUN
ejpam-6632	287	19	.	.	PUNCT
ejpam-6632	288	1	mathematics	mathematic	NOUN
ejpam-6632	288	2	,	,	PUNCT
ejpam-6632	288	3	11(23):4834	11(23):4834	NUM
ejpam-6632	288	4	,	,	PUNCT
ejpam-6632	288	5	2023	2023	NUM
ejpam-6632	288	6	.	.	PUNCT
ejpam-6632	289	1	[	[	X
ejpam-6632	289	2	16	16	NUM
ejpam-6632	289	3	]	]	X
ejpam-6632	289	4	r	r	NOUN
ejpam-6632	289	5	bharavi	bharavi	NOUN
ejpam-6632	289	6	sharma	sharma	PROPN
ejpam-6632	289	7	and	and	CCONJ
ejpam-6632	289	8	k	k	PROPN
ejpam-6632	289	9	rajya	rajya	PROPN
ejpam-6632	289	10	laxmi	laxmi	PROPN
ejpam-6632	289	11	.	.	PUNCT
ejpam-6632	290	1	fekete	fekete	PROPN
ejpam-6632	290	2	–	–	PUNCT
ejpam-6632	290	3	szegö	szegö	ADJ
ejpam-6632	290	4	inequalities	inequality	NOUN
ejpam-6632	290	5	for	for	ADP
ejpam-6632	290	6	some	some	DET
ejpam-6632	290	7	subclasses	subclass	NOUN
ejpam-6632	290	8	of	of	ADP
ejpam-6632	290	9	biunivalent	biunivalent	NOUN
ejpam-6632	290	10	functions	function	NOUN
ejpam-6632	290	11	through	through	ADP
ejpam-6632	290	12	quasi	quasi	NOUN
ejpam-6632	290	13	-	-	NOUN
ejpam-6632	290	14	subordination	subordination	NOUN
ejpam-6632	290	15	.	.	PUNCT
ejpam-6632	291	1	asian	asian	ADJ
ejpam-6632	291	2	-	-	PUNCT
ejpam-6632	291	3	european	european	ADJ
ejpam-6632	291	4	journal	journal	NOUN
ejpam-6632	291	5	of	of	ADP
ejpam-6632	291	6	mathematics	mathematic	NOUN
ejpam-6632	291	7	,	,	PUNCT
ejpam-6632	291	8	12(07):2050006	12(07):2050006	NUM
ejpam-6632	291	9	,	,	PUNCT
ejpam-6632	291	10	2019	2019	NUM
ejpam-6632	291	11	.	.	PUNCT
ejpam-6632	292	1	[	[	X
ejpam-6632	292	2	17	17	NUM
ejpam-6632	292	3	]	]	X
ejpam-6632	292	4	louis	louis	NOUN
ejpam-6632	292	5	de	de	X
ejpam-6632	292	6	branges	brange	NOUN
ejpam-6632	292	7	.	.	PUNCT
ejpam-6632	293	1	a	a	DET
ejpam-6632	293	2	proof	proof	NOUN
ejpam-6632	293	3	of	of	ADP
ejpam-6632	293	4	the	the	DET
ejpam-6632	293	5	bieberbach	bieberbach	NOUN
ejpam-6632	293	6	conjecture	conjecture	NOUN
ejpam-6632	293	7	.	.	PUNCT
ejpam-6632	294	1	acta	acta	PROPN
ejpam-6632	294	2	mathematica	mathematica	PROPN
ejpam-6632	294	3	,	,	PUNCT
ejpam-6632	294	4	154(1):137–152	154(1):137–152	NUM
ejpam-6632	294	5	,	,	PUNCT
ejpam-6632	294	6	1985	1985	NUM
ejpam-6632	294	7	.	.	PUNCT
ejpam-6632	295	1	[	[	X
ejpam-6632	295	2	18	18	NUM
ejpam-6632	295	3	]	]	PUNCT
ejpam-6632	295	4	op	op	NOUN
ejpam-6632	295	5	ahuja	ahuja	PROPN
ejpam-6632	295	6	and	and	CCONJ
ejpam-6632	295	7	m	m	PROPN
ejpam-6632	295	8	jahangiri	jahangiri	NOUN
ejpam-6632	295	9	.	.	PUNCT
ejpam-6632	296	1	fekete	fekete	NOUN
ejpam-6632	296	2	-	-	PUNCT
ejpam-6632	296	3	szego	szego	PROPN
ejpam-6632	296	4	problem	problem	NOUN
ejpam-6632	296	5	for	for	ADP
ejpam-6632	296	6	a	a	DET
ejpam-6632	296	7	unified	unified	ADJ
ejpam-6632	296	8	class	class	NOUN
ejpam-6632	296	9	of	of	ADP
ejpam-6632	296	10	analytic	analytic	ADJ
ejpam-6632	296	11	functions	function	NOUN
ejpam-6632	296	12	.	.	PUNCT
ejpam-6632	297	1	panamerican	panamerican	PROPN
ejpam-6632	297	2	mathematical	mathematical	ADJ
ejpam-6632	297	3	journal	journal	PROPN
ejpam-6632	297	4	,	,	PUNCT
ejpam-6632	297	5	7:67–78	7:67–78	NUM
ejpam-6632	297	6	,	,	PUNCT
ejpam-6632	297	7	1997	1997	NUM
ejpam-6632	297	8	.	.	PUNCT
ejpam-6632	298	1	[	[	X
ejpam-6632	298	2	19	19	NUM
ejpam-6632	298	3	]	]	PUNCT
ejpam-6632	298	4	sk	sk	PROPN
ejpam-6632	298	5	lee	lee	PROPN
ejpam-6632	298	6	,	,	PUNCT
ejpam-6632	298	7	rm	rm	PROPN
ejpam-6632	298	8	ali	ali	PROPN
ejpam-6632	298	9	,	,	PUNCT
ejpam-6632	298	10	v	v	ADP
ejpam-6632	298	11	ravichandran	ravichandran	NOUN
ejpam-6632	298	12	,	,	PUNCT
ejpam-6632	298	13	and	and	CCONJ
ejpam-6632	298	14	shamani	shamani	PROPN
ejpam-6632	298	15	supramaniam	supramaniam	NOUN
ejpam-6632	298	16	.	.	PUNCT
ejpam-6632	299	1	the	the	DET
ejpam-6632	299	2	fekete	fekete	PROPN
ejpam-6632	299	3	-	-	PUNCT
ejpam-6632	299	4	szego	szego	NOUN
ejpam-6632	299	5	coefficient	coefficient	NOUN
ejpam-6632	299	6	functional	functional	ADJ
ejpam-6632	299	7	for	for	ADP
ejpam-6632	299	8	transforms	transform	NOUN
ejpam-6632	299	9	of	of	ADP
ejpam-6632	299	10	analytic	analytic	ADJ
ejpam-6632	299	11	functions	function	NOUN
ejpam-6632	299	12	.	.	PUNCT
ejpam-6632	300	1	bulletin	bulletin	NOUN
ejpam-6632	300	2	of	of	ADP
ejpam-6632	300	3	the	the	DET
ejpam-6632	300	4	iranian	iranian	PROPN
ejpam-6632	300	5	mathematical	mathematical	PROPN
ejpam-6632	300	6	society	society	NOUN
ejpam-6632	300	7	,	,	PUNCT
ejpam-6632	300	8	35(2):119–142	35(2):119–142	PROPN
ejpam-6632	300	9	,	,	PUNCT
ejpam-6632	300	10	2011	2011	NUM
ejpam-6632	300	11	.	.	PUNCT
ejpam-6632	301	1	[	[	X
ejpam-6632	301	2	20	20	NUM
ejpam-6632	301	3	]	]	X
ejpam-6632	301	4	hr	hr	NOUN
ejpam-6632	301	5	abdel	abdel	NOUN
ejpam-6632	301	6	-	-	PUNCT
ejpam-6632	301	7	gawad	gawad	PROPN
ejpam-6632	301	8	.	.	PUNCT
ejpam-6632	302	1	on	on	ADP
ejpam-6632	302	2	the	the	DET
ejpam-6632	302	3	fekete	fekete	PROPN
ejpam-6632	302	4	-	-	PUNCT
ejpam-6632	302	5	szego	szego	NOUN
ejpam-6632	302	6	problem	problem	NOUN
ejpam-6632	302	7	for	for	ADP
ejpam-6632	302	8	alpha	alpha	NOUN
ejpam-6632	302	9	-	-	PUNCT
ejpam-6632	302	10	quasi	quasi	ADJ
ejpam-6632	302	11	-	-	ADJ
ejpam-6632	302	12	convex	convex	ADJ
ejpam-6632	302	13	functions	function	NOUN
ejpam-6632	302	14	.	.	PUNCT
ejpam-6632	303	1	tamkang	tamkang	PROPN
ejpam-6632	303	2	journal	journal	PROPN
ejpam-6632	303	3	of	of	ADP
ejpam-6632	303	4	mathematics	mathematic	NOUN
ejpam-6632	303	5	,	,	PUNCT
ejpam-6632	303	6	31(4):251–256	31(4):251–256	PROPN
ejpam-6632	303	7	,	,	PUNCT
ejpam-6632	303	8	2000	2000	NUM
ejpam-6632	303	9	.	.	PUNCT
ejpam-6632	304	1	[	[	X
ejpam-6632	304	2	21	21	NUM
ejpam-6632	304	3	]	]	SYM
ejpam-6632	304	4	v	v	NOUN
ejpam-6632	304	5	ravichandran	ravichandran	NOUN
ejpam-6632	304	6	,	,	PUNCT
ejpam-6632	304	7	a	a	DET
ejpam-6632	304	8	gangadharan	gangadharan	NOUN
ejpam-6632	304	9	,	,	PUNCT
ejpam-6632	304	10	and	and	CCONJ
ejpam-6632	304	11	maslina	maslina	PROPN
ejpam-6632	304	12	darus	darus	PROPN
ejpam-6632	304	13	.	.	PUNCT
ejpam-6632	305	1	fekete	fekete	NOUN
ejpam-6632	305	2	-	-	PUNCT
ejpam-6632	305	3	szegö	szegö	PROPN
ejpam-6632	305	4	inequality	inequality	NOUN
ejpam-6632	305	5	for	for	ADP
ejpam-6632	305	6	certain	certain	ADJ
ejpam-6632	305	7	class	class	NOUN
ejpam-6632	305	8	of	of	ADP
ejpam-6632	305	9	bazilevic	bazilevic	ADJ
ejpam-6632	305	10	functions	function	NOUN
ejpam-6632	305	11	.	.	PUNCT
ejpam-6632	306	1	far	far	ADV
ejpam-6632	306	2	east	east	PROPN
ejpam-6632	306	3	j.	j.	PROPN
ejpam-6632	306	4	math	math	PROPN
ejpam-6632	306	5	.	.	PUNCT
ejpam-6632	307	1	sci	sci	PROPN
ejpam-6632	307	2	,	,	PUNCT
ejpam-6632	307	3	15(2):171–180	15(2):171–180	PROPN
ejpam-6632	307	4	,	,	PUNCT
ejpam-6632	307	5	2004	2004	NUM
ejpam-6632	307	6	.	.	PUNCT
ejpam-6632	308	1	[	[	X
ejpam-6632	308	2	22	22	NUM
ejpam-6632	308	3	]	]	PUNCT
ejpam-6632	308	4	v.	v.	CCONJ
ejpam-6632	308	5	ravichandran	ravichandran	NOUN
ejpam-6632	308	6	,	,	PUNCT
ejpam-6632	308	7	m.	m.	NOUN
ejpam-6632	308	8	darus	darus	NOUN
ejpam-6632	308	9	,	,	PUNCT
ejpam-6632	308	10	m.	m.	NOUN
ejpam-6632	308	11	h.	h.	PROPN
ejpam-6632	308	12	khan	khan	PROPN
ejpam-6632	308	13	,	,	PUNCT
ejpam-6632	308	14	and	and	CCONJ
ejpam-6632	308	15	k.	k.	PROPN
ejpam-6632	308	16	g.	g.	PROPN
ejpam-6632	308	17	subramanian	subramanian	PROPN
ejpam-6632	308	18	.	.	PUNCT
ejpam-6632	309	1	fekete	fekete	PROPN
ejpam-6632	309	2	-	-	PUNCT
ejpam-6632	309	3	szegö	szegö	PROPN
ejpam-6632	309	4	inequality	inequality	NOUN
ejpam-6632	309	5	for	for	ADP
ejpam-6632	309	6	certain	certain	ADJ
ejpam-6632	309	7	class	class	NOUN
ejpam-6632	309	8	of	of	ADP
ejpam-6632	309	9	analytic	analytic	ADJ
ejpam-6632	309	10	functions	function	NOUN
ejpam-6632	309	11	.	.	PUNCT
ejpam-6632	310	1	the	the	DET
ejpam-6632	310	2	australian	australian	ADJ
ejpam-6632	310	3	journal	journal	NOUN
ejpam-6632	310	4	of	of	ADP
ejpam-6632	310	5	mathematical	mathematical	ADJ
ejpam-6632	310	6	analysis	analysis	NOUN
ejpam-6632	310	7	and	and	CCONJ
ejpam-6632	310	8	applications	application	NOUN
ejpam-6632	310	9	,	,	PUNCT
ejpam-6632	310	10	1(2):article	1(2):article	NUM
ejpam-6632	310	11	2	2	NUM
ejpam-6632	310	12	,	,	PUNCT
ejpam-6632	310	13	7	7	NUM
ejpam-6632	310	14	pages	page	NOUN
ejpam-6632	310	15	,	,	PUNCT
ejpam-6632	310	16	2004	2004	NUM
ejpam-6632	310	17	.	.	PUNCT
ejpam-6632	311	1	[	[	X
ejpam-6632	311	2	23	23	NUM
ejpam-6632	311	3	]	]	X
ejpam-6632	311	4	fr	fr	PROPN
ejpam-6632	311	5	keogh	keogh	PROPN
ejpam-6632	311	6	and	and	CCONJ
ejpam-6632	311	7	ep	ep	PROPN
ejpam-6632	311	8	merkes	merke	NOUN
ejpam-6632	311	9	.	.	PUNCT
ejpam-6632	312	1	a	a	DET
ejpam-6632	312	2	coefficient	coefficient	NOUN
ejpam-6632	312	3	inequality	inequality	NOUN
ejpam-6632	312	4	for	for	ADP
ejpam-6632	312	5	certain	certain	ADJ
ejpam-6632	312	6	classes	class	NOUN
ejpam-6632	312	7	of	of	ADP
ejpam-6632	312	8	analytic	analytic	ADJ
ejpam-6632	312	9	functions	function	NOUN
ejpam-6632	312	10	.	.	PUNCT
ejpam-6632	313	1	proceedings	proceeding	NOUN
ejpam-6632	313	2	of	of	ADP
ejpam-6632	313	3	the	the	DET
ejpam-6632	313	4	american	american	PROPN
ejpam-6632	313	5	mathematical	mathematical	PROPN
ejpam-6632	313	6	society	society	NOUN
ejpam-6632	313	7	,	,	PUNCT
ejpam-6632	313	8	20(1):8–12	20(1):8–12	NUM
ejpam-6632	313	9	,	,	PUNCT
ejpam-6632	313	10	1969	1969	NUM
ejpam-6632	313	11	.	.	PUNCT
ejpam-6632	314	1	[	[	X
ejpam-6632	314	2	24	24	NUM
ejpam-6632	314	3	]	]	X
ejpam-6632	314	4	h.m	h.m	PROPN
ejpam-6632	314	5	.	.	PROPN
ejpam-6632	314	6	srivastava	srivastava	PROPN
ejpam-6632	314	7	and	and	CCONJ
ejpam-6632	314	8	s.	s.	PROPN
ejpam-6632	314	9	owa	owa	PROPN
ejpam-6632	314	10	.	.	PROPN
ejpam-6632	314	11	univalent	univalent	ADJ
ejpam-6632	314	12	and	and	CCONJ
ejpam-6632	314	13	multivalent	multivalent	NOUN
ejpam-6632	314	14	functions	function	NOUN
ejpam-6632	314	15	.	.	PUNCT
ejpam-6632	315	1	ellis	ellis	PROPN
ejpam-6632	315	2	horwood	horwood	PROPN
ejpam-6632	315	3	limited	limited	PROPN
ejpam-6632	315	4	,	,	PUNCT
ejpam-6632	315	5	1992	1992	NUM
ejpam-6632	315	6	.	.	PUNCT
ejpam-6632	316	1	[	[	X
ejpam-6632	316	2	25	25	NUM
ejpam-6632	316	3	]	]	PUNCT
ejpam-6632	316	4	constantin	constantin	PROPN
ejpam-6632	316	5	carathéodory	carathéodory	PROPN
ejpam-6632	316	6	.	.	PUNCT
ejpam-6632	317	1	über	über	PROPN
ejpam-6632	317	2	den	den	PROPN
ejpam-6632	317	3	variabilitätsbereich	variabilitätsbereich	PROPN
ejpam-6632	317	4	der	der	PROPN
ejpam-6632	317	5	koeffizienten	koeffizienten	PROPN
ejpam-6632	317	6	von	von	PROPN
ejpam-6632	317	7	potenzreihen	potenzreihen	ADV
ejpam-6632	317	8	,	,	PUNCT
ejpam-6632	317	9	die	die	VERB
ejpam-6632	317	10	gegebene	gegebene	PROPN
ejpam-6632	317	11	werte	werte	NOUN
ejpam-6632	317	12	nicht	nicht	PROPN
ejpam-6632	317	13	annehmen	annehmen	PROPN
ejpam-6632	317	14	.	.	PUNCT
ejpam-6632	318	1	mathematische	mathematische	PROPN
ejpam-6632	318	2	annalen	annalen	PROPN
ejpam-6632	318	3	,	,	PUNCT
ejpam-6632	318	4	64(1):95–115	64(1):95–115	NUM
ejpam-6632	318	5	,	,	PUNCT
ejpam-6632	318	6	1907	1907	NUM
ejpam-6632	318	7	.	.	PUNCT
ejpam-6632	319	1	[	[	X
ejpam-6632	319	2	26	26	NUM
ejpam-6632	319	3	]	]	PUNCT
ejpam-6632	319	4	i̇brahim	i̇brahim	X
ejpam-6632	319	5	aktaş	aktaş	NOUN
ejpam-6632	319	6	and	and	CCONJ
ejpam-6632	319	7	nazmiye	nazmiye	PROPN
ejpam-6632	319	8	yılmaz	yılmaz	PROPN
ejpam-6632	319	9	.	.	PUNCT
ejpam-6632	320	1	initial	initial	ADJ
ejpam-6632	320	2	coefficients	coefficient	NOUN
ejpam-6632	320	3	estimate	estimate	NOUN
ejpam-6632	320	4	and	and	CCONJ
ejpam-6632	320	5	fekete	fekete	NOUN
ejpam-6632	320	6	-	-	PUNCT
ejpam-6632	320	7	szegö	szegö	ADJ
ejpam-6632	320	8	problems	problem	NOUN
ejpam-6632	320	9	for	for	ADP
ejpam-6632	320	10	two	two	NUM
ejpam-6632	320	11	new	new	ADJ
ejpam-6632	320	12	subclasses	subclass	NOUN
ejpam-6632	320	13	of	of	ADP
ejpam-6632	320	14	bi	bi	ADJ
ejpam-6632	320	15	-	-	ADJ
ejpam-6632	320	16	univalent	univalent	ADJ
ejpam-6632	320	17	functions	function	NOUN
ejpam-6632	320	18	.	.	PUNCT
ejpam-6632	321	1	konuralp	konuralp	PROPN
ejpam-6632	321	2	journal	journal	PROPN
ejpam-6632	321	3	of	of	ADP
ejpam-6632	321	4	mathematics	mathematic	NOUN
ejpam-6632	321	5	,	,	PUNCT
ejpam-6632	321	6	10(1):138–148	10(1):138–148	PROPN
ejpam-6632	321	7	,	,	PUNCT
ejpam-6632	321	8	2022	2022	NUM
ejpam-6632	321	9	.	.	PUNCT
ejpam-6632	322	1	[	[	X
ejpam-6632	322	2	27	27	NUM
ejpam-6632	322	3	]	]	X
ejpam-6632	322	4	peter	peter	PROPN
ejpam-6632	322	5	l	l	PROPN
ejpam-6632	322	6	duren	duren	PROPN
ejpam-6632	322	7	.	.	PUNCT
ejpam-6632	323	1	univalent	univalent	ADJ
ejpam-6632	323	2	functions	function	NOUN
ejpam-6632	323	3	,	,	PUNCT
ejpam-6632	323	4	volume	volume	NOUN
ejpam-6632	323	5	259	259	NUM
ejpam-6632	323	6	.	.	PUNCT
ejpam-6632	324	1	springer	springer	PROPN
ejpam-6632	324	2	science	science	PROPN
ejpam-6632	324	3	&	&	CCONJ
ejpam-6632	324	4	business	business	NOUN
ejpam-6632	324	5	media	medium	NOUN
ejpam-6632	324	6	,	,	PUNCT
ejpam-6632	324	7	2001	2001	NUM
ejpam-6632	324	8	.	.	PUNCT
ejpam-6632	325	1	[	[	X
ejpam-6632	325	2	28	28	NUM
ejpam-6632	325	3	]	]	X
ejpam-6632	325	4	john	john	PROPN
ejpam-6632	325	5	canny	canny	PROPN
ejpam-6632	325	6	.	.	PUNCT
ejpam-6632	326	1	a	a	DET
ejpam-6632	326	2	computational	computational	ADJ
ejpam-6632	326	3	approach	approach	NOUN
ejpam-6632	326	4	to	to	ADP
ejpam-6632	326	5	edge	edge	NOUN
ejpam-6632	326	6	detection	detection	NOUN
ejpam-6632	326	7	.	.	PUNCT
ejpam-6632	327	1	ieee	ieee	NOUN
ejpam-6632	327	2	transactions	transaction	NOUN
ejpam-6632	327	3	on	on	ADP
ejpam-6632	327	4	pattern	pattern	NOUN
ejpam-6632	327	5	analysis	analysis	NOUN
ejpam-6632	327	6	and	and	CCONJ
ejpam-6632	327	7	machine	machine	NOUN
ejpam-6632	327	8	intelligence	intelligence	NOUN
ejpam-6632	327	9	,	,	PUNCT
ejpam-6632	327	10	(	(	PUNCT
ejpam-6632	327	11	6):679–698	6):679–698	PROPN
ejpam-6632	327	12	,	,	PUNCT
ejpam-6632	327	13	2009	2009	NUM
ejpam-6632	327	14	.	.	PUNCT
ejpam-6632	328	1	[	[	X
ejpam-6632	328	2	29	29	NUM
ejpam-6632	328	3	]	]	X
ejpam-6632	328	4	john	john	PROPN
ejpam-6632	328	5	g	g	PROPN
ejpam-6632	328	6	daugman	daugman	PROPN
ejpam-6632	328	7	.	.	PUNCT
ejpam-6632	329	1	complete	complete	ADJ
ejpam-6632	329	2	discrete	discrete	ADJ
ejpam-6632	329	3	2	2	NUM
ejpam-6632	329	4	-	-	PUNCT
ejpam-6632	329	5	d	d	NOUN
ejpam-6632	329	6	gabor	gabor	NOUN
ejpam-6632	329	7	transforms	transform	VERB
ejpam-6632	329	8	by	by	ADP
ejpam-6632	329	9	neural	neural	ADJ
ejpam-6632	329	10	networks	network	NOUN
ejpam-6632	329	11	for	for	ADP
ejpam-6632	329	12	image	image	NOUN
ejpam-6632	329	13	analysis	analysis	NOUN
ejpam-6632	329	14	and	and	CCONJ
ejpam-6632	329	15	compression	compression	NOUN
ejpam-6632	329	16	.	.	PUNCT
ejpam-6632	330	1	ieee	ieee	NOUN
ejpam-6632	330	2	transactions	transaction	NOUN
ejpam-6632	330	3	on	on	ADP
ejpam-6632	330	4	acoustics	acoustic	NOUN
ejpam-6632	330	5	,	,	PUNCT
ejpam-6632	330	6	speech	speech	NOUN
ejpam-6632	330	7	,	,	PUNCT
ejpam-6632	330	8	and	and	CCONJ
ejpam-6632	330	9	signal	signal	NOUN
ejpam-6632	330	10	processing	processing	NOUN
ejpam-6632	330	11	,	,	PUNCT
ejpam-6632	330	12	36(7):1169–1179	36(7):1169–1179	PROPN
ejpam-6632	330	13	,	,	PUNCT
ejpam-6632	330	14	2002	2002	NUM
ejpam-6632	330	15	.	.	PUNCT
ejpam-6632	331	1	[	[	X
ejpam-6632	331	2	30	30	NUM
ejpam-6632	331	3	]	]	PUNCT
ejpam-6632	331	4	pietro	pietro	NOUN
ejpam-6632	331	5	perona	perona	PROPN
ejpam-6632	331	6	and	and	CCONJ
ejpam-6632	331	7	jitendra	jitendra	PROPN
ejpam-6632	331	8	malik	malik	PROPN
ejpam-6632	331	9	.	.	PUNCT
ejpam-6632	331	10	scale	scale	NOUN
ejpam-6632	331	11	-	-	PUNCT
ejpam-6632	331	12	space	space	NOUN
ejpam-6632	331	13	and	and	CCONJ
ejpam-6632	331	14	edge	edge	NOUN
ejpam-6632	331	15	detection	detection	NOUN
ejpam-6632	331	16	using	use	VERB
ejpam-6632	331	17	anisotropic	anisotropic	NOUN
ejpam-6632	331	18	diffusion	diffusion	NOUN
ejpam-6632	331	19	.	.	PUNCT
ejpam-6632	332	1	ieee	ieee	NOUN
ejpam-6632	332	2	transactions	transaction	NOUN
ejpam-6632	332	3	on	on	ADP
ejpam-6632	332	4	pattern	pattern	NOUN
ejpam-6632	332	5	analysis	analysis	NOUN
ejpam-6632	332	6	and	and	CCONJ
ejpam-6632	332	7	machine	machine	NOUN
ejpam-6632	332	8	intelligence	intelligence	NOUN
ejpam-6632	332	9	,	,	PUNCT
ejpam-6632	332	10	12(7):629–639	12(7):629–639	NUM
ejpam-6632	332	11	,	,	PUNCT
ejpam-6632	332	12	1990	1990	NUM
ejpam-6632	332	13	.	.	PUNCT
ejpam-6632	333	1	[	[	X
ejpam-6632	333	2	31	31	NUM
ejpam-6632	333	3	]	]	PUNCT
ejpam-6632	333	4	leonid	leonid	PROPN
ejpam-6632	333	5	i	i	PRON
ejpam-6632	333	6	rudin	rudin	PROPN
ejpam-6632	333	7	,	,	PUNCT
ejpam-6632	333	8	stanley	stanley	PROPN
ejpam-6632	333	9	osher	osher	PROPN
ejpam-6632	333	10	,	,	PUNCT
ejpam-6632	333	11	and	and	CCONJ
ejpam-6632	333	12	emad	emad	PROPN
ejpam-6632	333	13	fatemi	fatemi	PROPN
ejpam-6632	333	14	.	.	PUNCT
ejpam-6632	334	1	nonlinear	nonlinear	ADJ
ejpam-6632	334	2	total	total	ADJ
ejpam-6632	334	3	variation	variation	NOUN
ejpam-6632	334	4	based	base	VERB
ejpam-6632	334	5	noise	noise	NOUN
ejpam-6632	334	6	removal	removal	NOUN
ejpam-6632	334	7	algorithms	algorithm	NOUN
ejpam-6632	334	8	.	.	PUNCT
ejpam-6632	335	1	physica	physica	NOUN
ejpam-6632	335	2	d	d	NOUN
ejpam-6632	335	3	:	:	PUNCT
ejpam-6632	335	4	nonlinear	nonlinear	ADJ
ejpam-6632	335	5	phenomena	phenomenon	NOUN
ejpam-6632	335	6	,	,	PUNCT
ejpam-6632	335	7	60(1	60(1	PROPN
ejpam-6632	335	8	-	-	SYM
ejpam-6632	335	9	4):259–268	4):259–268	NUM
ejpam-6632	335	10	,	,	PUNCT
ejpam-6632	335	11	1992	1992	NUM
ejpam-6632	335	12	.	.	PUNCT
ejpam-6632	336	1	[	[	X
ejpam-6632	336	2	32	32	NUM
ejpam-6632	336	3	]	]	X
ejpam-6632	336	4	antonin	antonin	PROPN
ejpam-6632	336	5	chambolle	chambolle	PROPN
ejpam-6632	336	6	.	.	PUNCT
ejpam-6632	337	1	an	an	DET
ejpam-6632	337	2	algorithm	algorithm	NOUN
ejpam-6632	337	3	for	for	ADP
ejpam-6632	337	4	total	total	ADJ
ejpam-6632	337	5	variation	variation	NOUN
ejpam-6632	337	6	minimization	minimization	NOUN
ejpam-6632	337	7	and	and	CCONJ
ejpam-6632	337	8	applications	application	NOUN
ejpam-6632	337	9	.	.	PUNCT
ejpam-6632	338	1	journal	journal	PROPN
ejpam-6632	338	2	of	of	ADP
ejpam-6632	338	3	mathematical	mathematical	ADJ
ejpam-6632	338	4	imaging	imaging	NOUN
ejpam-6632	338	5	and	and	CCONJ
ejpam-6632	338	6	vision	vision	NOUN
ejpam-6632	338	7	,	,	PUNCT
ejpam-6632	338	8	20(1):89–97	20(1):89–97	NUM
ejpam-6632	338	9	,	,	PUNCT
ejpam-6632	338	10	2004	2004	NUM
ejpam-6632	338	11	.	.	PUNCT
ejpam-6632	339	1	[	[	X
ejpam-6632	339	2	33	33	NUM
ejpam-6632	339	3	]	]	PUNCT
ejpam-6632	339	4	saining	saine	VERB
ejpam-6632	339	5	xie	xie	PROPN
ejpam-6632	339	6	and	and	CCONJ
ejpam-6632	339	7	zhuowen	zhuowen	PROPN
ejpam-6632	339	8	tu	tu	PROPN
ejpam-6632	339	9	.	.	PROPN
ejpam-6632	339	10	holistically	holistically	ADV
ejpam-6632	339	11	-	-	PUNCT
ejpam-6632	339	12	nested	nest	VERB
ejpam-6632	339	13	edge	edge	NOUN
ejpam-6632	339	14	detection	detection	NOUN
ejpam-6632	339	15	.	.	PUNCT
ejpam-6632	340	1	in	in	ADP
ejpam-6632	340	2	proceedings	proceeding	NOUN
ejpam-6632	340	3	of	of	ADP
ejpam-6632	340	4	the	the	DET
ejpam-6632	340	5	ieee	ieee	NOUN
ejpam-6632	340	6	international	international	PROPN
ejpam-6632	340	7	conference	conference	NOUN
ejpam-6632	340	8	on	on	ADP
ejpam-6632	340	9	computer	computer	NOUN
ejpam-6632	340	10	vision	vision	NOUN
ejpam-6632	340	11	,	,	PUNCT
ejpam-6632	340	12	pages	page	NOUN
ejpam-6632	340	13	1395–1403	1395–1403	NUM
ejpam-6632	340	14	,	,	PUNCT
ejpam-6632	340	15	2015	2015	NUM
ejpam-6632	340	16	.	.	PUNCT
ejpam-6632	341	1	[	[	X
ejpam-6632	341	2	34	34	NUM
ejpam-6632	341	3	]	]	PUNCT
ejpam-6632	341	4	k.	k.	PROPN
ejpam-6632	341	5	sugiura	sugiura	PROPN
ejpam-6632	341	6	,	,	PUNCT
ejpam-6632	341	7	t.	t.	PROPN
ejpam-6632	341	8	nakashima	nakashima	PROPN
ejpam-6632	341	9	,	,	PUNCT
ejpam-6632	341	10	m.	m.	PROPN
ejpam-6632	341	11	takahashi	takahashi	PROPN
ejpam-6632	341	12	,	,	PUNCT
ejpam-6632	341	13	and	and	CCONJ
ejpam-6632	341	14	h.	h.	PROPN
ejpam-6632	341	15	yamamoto	yamamoto	PROPN
ejpam-6632	341	16	.	.	PUNCT
ejpam-6632	342	1	edge	edge	NOUN
ejpam-6632	342	2	detection	detection	NOUN
ejpam-6632	342	3	with	with	ADP
ejpam-6632	342	4	transformers	transformer	NOUN
ejpam-6632	342	5	:	:	PUNCT
ejpam-6632	342	6	a	a	DET
ejpam-6632	342	7	new	new	ADJ
ejpam-6632	342	8	frontier	frontier	NOUN
ejpam-6632	342	9	in	in	ADP
ejpam-6632	342	10	vision	vision	NOUN
ejpam-6632	342	11	processing	processing	NOUN
ejpam-6632	342	12	.	.	PUNCT
ejpam-6632	343	1	pattern	pattern	NOUN
ejpam-6632	343	2	recognition	recognition	NOUN
ejpam-6632	343	3	letters	letter	NOUN
ejpam-6632	343	4	,	,	PUNCT
ejpam-6632	343	5	156:67–74	156:67–74	NUM
ejpam-6632	343	6	,	,	PUNCT
ejpam-6632	343	7	2022	2022	NUM
ejpam-6632	343	8	.	.	PUNCT
ejpam-6632	344	1	[	[	X
ejpam-6632	344	2	35	35	NUM
ejpam-6632	344	3	]	]	X
ejpam-6632	344	4	gabriel	gabriel	PROPN
ejpam-6632	344	5	szegö	szegö	PROPN
ejpam-6632	344	6	.	.	PUNCT
ejpam-6632	345	1	zur	zur	PROPN
ejpam-6632	345	2	theorie	theorie	PROPN
ejpam-6632	345	3	der	der	PROPN
ejpam-6632	345	4	schlichten	schlichten	NOUN
ejpam-6632	345	5	abbildungen	abbildungen	PROPN
ejpam-6632	345	6	.	.	PUNCT
ejpam-6632	346	1	mathematische	mathematische	PROPN
ejpam-6632	346	2	annalen	annalen	PROPN
ejpam-6632	346	3	,	,	PUNCT
ejpam-6632	346	4	100(1):188	100(1):188	NUM
ejpam-6632	346	5	–	–	PUNCT
ejpam-6632	346	6	r.	r.	PROPN
ejpam-6632	346	7	kamali	kamali	PROPN
ejpam-6632	346	8	et	et	PROPN
ejpam-6632	346	9	al	al	PROPN
ejpam-6632	346	10	.	.	PUNCT
ejpam-6632	346	11	/	/	SYM
ejpam-6632	346	12	eur	eur	PROPN
ejpam-6632	346	13	.	.	PUNCT
ejpam-6632	347	1	j.	j.	PROPN
ejpam-6632	347	2	pure	pure	PROPN
ejpam-6632	347	3	appl	appl	PROPN
ejpam-6632	347	4	.	.	PROPN
ejpam-6632	347	5	math	math	PROPN
ejpam-6632	347	6	,	,	PUNCT
ejpam-6632	347	7	18	18	NUM
ejpam-6632	347	8	(	(	PUNCT
ejpam-6632	347	9	4	4	NUM
ejpam-6632	347	10	)	)	PUNCT
ejpam-6632	347	11	(	(	PUNCT
ejpam-6632	347	12	2025	2025	NUM
ejpam-6632	347	13	)	)	PUNCT
ejpam-6632	347	14	,	,	PUNCT
ejpam-6632	347	15	6632	6632	NUM
ejpam-6632	347	16	19	19	NUM
ejpam-6632	347	17	of	of	ADP
ejpam-6632	347	18	19	19	NUM
ejpam-6632	347	19	211	211	NUM
ejpam-6632	347	20	,	,	PUNCT
ejpam-6632	347	21	1928	1928	NUM
ejpam-6632	347	22	.	.	PUNCT
ejpam-6632	348	1	[	[	X
ejpam-6632	348	2	36	36	NUM
ejpam-6632	348	3	]	]	X
ejpam-6632	348	4	peter	peter	PROPN
ejpam-6632	348	5	l.	l.	PROPN
ejpam-6632	348	6	duren	duren	PROPN
ejpam-6632	348	7	.	.	PUNCT
ejpam-6632	348	8	univalent	univalent	ADJ
ejpam-6632	348	9	functions	function	NOUN
ejpam-6632	348	10	,	,	PUNCT
ejpam-6632	348	11	volume	volume	NOUN
ejpam-6632	348	12	259	259	NUM
ejpam-6632	348	13	of	of	ADP
ejpam-6632	348	14	grundlehren	grundlehren	PROPN
ejpam-6632	348	15	der	der	PROPN
ejpam-6632	348	16	mathematischen	mathematischen	PROPN
ejpam-6632	348	17	wissenschaften	wissenschaften	PROPN
ejpam-6632	348	18	.	.	PUNCT
ejpam-6632	349	1	springer	springer	NOUN
ejpam-6632	349	2	-	-	PUNCT
ejpam-6632	349	3	verlag	verlag	PROPN
ejpam-6632	349	4	,	,	PUNCT
ejpam-6632	349	5	new	new	PROPN
ejpam-6632	349	6	york	york	PROPN
ejpam-6632	349	7	,	,	PUNCT
ejpam-6632	349	8	ny	ny	PROPN
ejpam-6632	349	9	,	,	PUNCT
ejpam-6632	349	10	usa	usa	PROPN
ejpam-6632	349	11	,	,	PUNCT
ejpam-6632	349	12	1983	1983	NUM
ejpam-6632	349	13	.	.	PUNCT
ejpam-6632	350	1	[	[	X
ejpam-6632	350	2	37	37	NUM
ejpam-6632	350	3	]	]	X
ejpam-6632	350	4	ek	ek	PROPN
ejpam-6632	350	5	nithiyanandham	nithiyanandham	PROPN
ejpam-6632	350	6	and	and	CCONJ
ejpam-6632	350	7	b	b	PROPN
ejpam-6632	350	8	srutha	srutha	PROPN
ejpam-6632	350	9	keerthi	keerthi	PROPN
ejpam-6632	350	10	.	.	PUNCT
ejpam-6632	351	1	a	a	DET
ejpam-6632	351	2	new	new	ADJ
ejpam-6632	351	3	proposed	propose	VERB
ejpam-6632	351	4	model	model	NOUN
ejpam-6632	351	5	for	for	ADP
ejpam-6632	351	6	image	image	NOUN
ejpam-6632	351	7	enhancement	enhancement	NOUN
ejpam-6632	351	8	using	use	VERB
ejpam-6632	351	9	the	the	DET
ejpam-6632	351	10	coefficients	coefficient	NOUN
ejpam-6632	351	11	obtained	obtain	VERB
ejpam-6632	351	12	by	by	ADP
ejpam-6632	351	13	a	a	DET
ejpam-6632	351	14	subclass	subclass	NOUN
ejpam-6632	351	15	of	of	ADP
ejpam-6632	351	16	the	the	DET
ejpam-6632	351	17	sakaguchi	sakaguchi	ADJ
ejpam-6632	351	18	-	-	PUNCT
ejpam-6632	351	19	type	type	NOUN
ejpam-6632	351	20	function	function	NOUN
ejpam-6632	351	21	.	.	PUNCT
ejpam-6632	352	1	signal	signal	NOUN
ejpam-6632	352	2	,	,	PUNCT
ejpam-6632	352	3	image	image	NOUN
ejpam-6632	352	4	and	and	CCONJ
ejpam-6632	352	5	video	video	NOUN
ejpam-6632	352	6	processing	processing	NOUN
ejpam-6632	352	7	,	,	PUNCT
ejpam-6632	352	8	18(2):1455–1462	18(2):1455–1462	NUM
ejpam-6632	352	9	,	,	PUNCT
ejpam-6632	352	10	2024	2024	NUM
ejpam-6632	352	11	.	.	PUNCT
ejpam-6632	353	1	[	[	X
ejpam-6632	353	2	38	38	NUM
ejpam-6632	353	3	]	]	PUNCT
ejpam-6632	353	4	m.	m.	NOUN
ejpam-6632	353	5	fekete	fekete	PROPN
ejpam-6632	353	6	and	and	CCONJ
ejpam-6632	353	7	g.	g.	PROPN
ejpam-6632	353	8	szegő	szegő	PROPN
ejpam-6632	353	9	.	.	PUNCT
ejpam-6632	354	1	eine	eine	PROPN
ejpam-6632	354	2	bemerkung	bemerkung	PROPN
ejpam-6632	354	3	über	über	PROPN
ejpam-6632	354	4	ungerade	ungerade	PROPN
ejpam-6632	354	5	schlichte	schlichte	PROPN
ejpam-6632	354	6	funktionen	funktionen	PROPN
ejpam-6632	354	7	.	.	PROPN
ejpam-6632	355	1	journal	journal	PROPN
ejpam-6632	355	2	of	of	ADP
ejpam-6632	355	3	the	the	DET
ejpam-6632	355	4	london	london	PROPN
ejpam-6632	355	5	mathematical	mathematical	ADJ
ejpam-6632	355	6	society	society	NOUN
ejpam-6632	355	7	,	,	PUNCT
ejpam-6632	355	8	8(2):85–89	8(2):85–89	NUM
ejpam-6632	355	9	,	,	PUNCT
ejpam-6632	355	10	1933	1933	NUM
ejpam-6632	355	11	.	.	PUNCT
ejpam-6632	356	1	[	[	X
ejpam-6632	356	2	39	39	NUM
ejpam-6632	356	3	]	]	X
ejpam-6632	356	4	a.w	a.w	PROPN
ejpam-6632	356	5	.	.	PROPN
ejpam-6632	356	6	goodman	goodman	PROPN
ejpam-6632	356	7	.	.	PUNCT
ejpam-6632	357	1	univalent	univalent	ADJ
ejpam-6632	357	2	functions	function	NOUN
ejpam-6632	357	3	and	and	CCONJ
ejpam-6632	357	4	non	non	ADJ
ejpam-6632	357	5	-	-	ADJ
ejpam-6632	357	6	analytic	analytic	ADJ
ejpam-6632	357	7	curves	curve	NOUN
ejpam-6632	357	8	.	.	PUNCT
ejpam-6632	358	1	proceedings	proceeding	NOUN
ejpam-6632	358	2	of	of	ADP
ejpam-6632	358	3	the	the	DET
ejpam-6632	358	4	american	american	PROPN
ejpam-6632	358	5	mathematical	mathematical	PROPN
ejpam-6632	358	6	society	society	NOUN
ejpam-6632	358	7	,	,	PUNCT
ejpam-6632	358	8	20:605–610	20:605–610	NUM
ejpam-6632	358	9	,	,	PUNCT
ejpam-6632	358	10	1969	1969	NUM
ejpam-6632	358	11	.	.	PUNCT
ejpam-6632	359	1	[	[	X
ejpam-6632	359	2	40	40	NUM
ejpam-6632	359	3	]	]	X
ejpam-6632	359	4	ch	ch	NOUN
ejpam-6632	359	5	.	.	PUNCT
ejpam-6632	359	6	pommerenke	pommerenke	PROPN
ejpam-6632	359	7	.	.	PUNCT
ejpam-6632	360	1	on	on	ADP
ejpam-6632	360	2	the	the	DET
ejpam-6632	360	3	hankel	hankel	NOUN
ejpam-6632	360	4	determinants	determinant	NOUN
ejpam-6632	360	5	of	of	ADP
ejpam-6632	360	6	univalent	univalent	ADJ
ejpam-6632	360	7	functions	function	NOUN
ejpam-6632	360	8	.	.	PUNCT
ejpam-6632	361	1	mathematische	mathematische	PROPN
ejpam-6632	361	2	annalen	annalen	PROPN
ejpam-6632	361	3	,	,	PUNCT
ejpam-6632	361	4	161:111–128	161:111–128	NUM
ejpam-6632	361	5	,	,	PUNCT
ejpam-6632	361	6	1965	1965	NUM
ejpam-6632	361	7	.	.	PUNCT
ejpam-6632	362	1	[	[	X
ejpam-6632	362	2	41	41	NUM
ejpam-6632	363	1	]	]	X
ejpam-6632	363	2	p.l	p.l	PROPN
ejpam-6632	363	3	.	.	PUNCT
ejpam-6632	363	4	duren	duren	PROPN
ejpam-6632	363	5	.	.	PUNCT
ejpam-6632	364	1	univalent	univalent	ADJ
ejpam-6632	364	2	functions	function	NOUN
ejpam-6632	364	3	,	,	PUNCT
ejpam-6632	364	4	volume	volume	NOUN
ejpam-6632	364	5	259	259	NUM
ejpam-6632	364	6	of	of	ADP
ejpam-6632	364	7	grundlehren	grundlehren	PROPN
ejpam-6632	364	8	der	der	PROPN
ejpam-6632	364	9	mathematischen	mathematischen	PROPN
ejpam-6632	364	10	wissenschaften	wissenschaften	PROPN
ejpam-6632	364	11	.	.	PUNCT
ejpam-6632	365	1	springer	springer	NOUN
ejpam-6632	365	2	,	,	PUNCT
ejpam-6632	365	3	1983	1983	NUM
ejpam-6632	365	4	.	.	PUNCT
ejpam-6632	366	1	[	[	X
ejpam-6632	366	2	42	42	NUM
ejpam-6632	366	3	]	]	X
ejpam-6632	366	4	h.a	h.a	PROPN
ejpam-6632	366	5	.	.	PROPN
ejpam-6632	366	6	schwarz	schwarz	PROPN
ejpam-6632	366	7	.	.	PUNCT
ejpam-6632	367	1	gesammelte	gesammelte	PROPN
ejpam-6632	367	2	mathematische	mathematische	PROPN
ejpam-6632	367	3	abhandlungen	abhandlungen	PROPN
ejpam-6632	367	4	.	.	PUNCT
ejpam-6632	367	5	springer	springer	PROPN
ejpam-6632	367	6	,	,	PUNCT
ejpam-6632	367	7	reprint	reprint	NOUN
ejpam-6632	367	8	of	of	ADP
ejpam-6632	367	9	1890	1890	NUM
ejpam-6632	367	10	edition	edition	NOUN
ejpam-6632	367	11	edition	edition	NOUN
ejpam-6632	367	12	,	,	PUNCT
ejpam-6632	367	13	1992	1992	NUM
ejpam-6632	367	14	.	.	PUNCT
ejpam-6632	368	1	[	[	X
ejpam-6632	368	2	43	43	NUM
ejpam-6632	368	3	]	]	X
ejpam-6632	368	4	ek	ek	PROPN
ejpam-6632	368	5	nithiyanandham	nithiyanandham	PROPN
ejpam-6632	368	6	and	and	CCONJ
ejpam-6632	368	7	b	b	PROPN
ejpam-6632	368	8	srutha	srutha	PROPN
ejpam-6632	368	9	keerthi	keerthi	PROPN
ejpam-6632	368	10	.	.	PUNCT
ejpam-6632	369	1	image	image	NOUN
ejpam-6632	369	2	edge	edge	NOUN
ejpam-6632	369	3	detection	detection	NOUN
ejpam-6632	369	4	enhancement	enhancement	NOUN
ejpam-6632	369	5	using	use	VERB
ejpam-6632	369	6	coefficients	coefficient	NOUN
ejpam-6632	369	7	of	of	ADP
ejpam-6632	369	8	sakaguchi	sakaguchi	ADJ
ejpam-6632	369	9	type	type	NOUN
ejpam-6632	369	10	functions	function	NOUN
ejpam-6632	369	11	mapped	map	VERB
ejpam-6632	369	12	onto	onto	ADP
ejpam-6632	369	13	petal	petal	ADJ
ejpam-6632	369	14	shaped	shape	VERB
ejpam-6632	369	15	domain	domain	NOUN
ejpam-6632	369	16	.	.	PUNCT
ejpam-6632	370	1	heliyon	heliyon	NOUN
ejpam-6632	370	2	,	,	PUNCT
ejpam-6632	370	3	10(10	10(10	NUM
ejpam-6632	370	4	)	)	PUNCT
ejpam-6632	370	5	,	,	PUNCT
ejpam-6632	370	6	2024	2024	NUM
ejpam-6632	370	7	.	.	PUNCT
ejpam-6632	371	1	[	[	X
ejpam-6632	371	2	44	44	NUM
ejpam-6632	371	3	]	]	X
ejpam-6632	371	4	prathviraj	prathviraj	PROPN
ejpam-6632	371	5	sharma	sharma	PROPN
ejpam-6632	371	6	,	,	PUNCT
ejpam-6632	371	7	srikandan	srikandan	PROPN
ejpam-6632	371	8	sivasubramanian	sivasubramanian	PROPN
ejpam-6632	371	9	,	,	PUNCT
ejpam-6632	371	10	gangadharan	gangadharan	NOUN
ejpam-6632	371	11	murugusundaramoorthy	murugusundaramoorthy	ADJ
ejpam-6632	371	12	,	,	PUNCT
ejpam-6632	371	13	and	and	CCONJ
ejpam-6632	371	14	nak	nak	PROPN
ejpam-6632	371	15	eun	eun	PROPN
ejpam-6632	371	16	cho	cho	PROPN
ejpam-6632	371	17	.	.	PUNCT
ejpam-6632	372	1	on	on	ADP
ejpam-6632	372	2	a	a	DET
ejpam-6632	372	3	new	new	ADJ
ejpam-6632	372	4	class	class	NOUN
ejpam-6632	372	5	of	of	ADP
ejpam-6632	372	6	concave	concave	ADJ
ejpam-6632	372	7	bi	bi	ADJ
ejpam-6632	372	8	-	-	ADJ
ejpam-6632	372	9	univalent	univalent	ADJ
ejpam-6632	372	10	functions	function	NOUN
ejpam-6632	372	11	associated	associate	VERB
ejpam-6632	372	12	with	with	ADP
ejpam-6632	372	13	bounded	bounded	ADJ
ejpam-6632	372	14	boundary	boundary	ADJ
ejpam-6632	372	15	rotation	rotation	NOUN
ejpam-6632	372	16	.	.	PUNCT
ejpam-6632	373	1	mathematics	mathematic	NOUN
ejpam-6632	373	2	,	,	PUNCT
ejpam-6632	373	3	13(3):370	13(3):370	NUM
ejpam-6632	373	4	,	,	PUNCT
ejpam-6632	373	5	2025	2025	NUM
ejpam-6632	373	6	.	.	PUNCT
ejpam-6632	374	1	[	[	X
ejpam-6632	374	2	45	45	NUM
ejpam-6632	374	3	]	]	PUNCT
ejpam-6632	374	4	z.	z.	PROPN
ejpam-6632	374	5	wang	wang	PROPN
ejpam-6632	374	6	,	,	PUNCT
ejpam-6632	374	7	y.	y.	PROPN
ejpam-6632	374	8	chen	chen	PROPN
ejpam-6632	374	9	,	,	PUNCT
ejpam-6632	374	10	and	and	CCONJ
ejpam-6632	374	11	x.	x.	PROPN
ejpam-6632	374	12	li	li	PROPN
ejpam-6632	374	13	.	.	PROPN
ejpam-6632	374	14	hybrid	hybrid	ADJ
ejpam-6632	374	15	approaches	approach	NOUN
ejpam-6632	374	16	for	for	ADP
ejpam-6632	374	17	interpretable	interpretable	ADJ
ejpam-6632	374	18	edge	edge	NOUN
ejpam-6632	374	19	detection	detection	NOUN
ejpam-6632	374	20	:	:	PUNCT
ejpam-6632	374	21	combining	combine	VERB
ejpam-6632	374	22	analytic	analytic	ADJ
ejpam-6632	374	23	priors	prior	NOUN
ejpam-6632	374	24	with	with	ADP
ejpam-6632	374	25	deep	deep	ADJ
ejpam-6632	374	26	learning	learning	NOUN
ejpam-6632	374	27	.	.	PUNCT
ejpam-6632	375	1	ieee	ieee	NOUN
ejpam-6632	375	2	access	access	NOUN
ejpam-6632	375	3	,	,	PUNCT
ejpam-6632	375	4	10:56789–56801	10:56789–56801	NUM
ejpam-6632	375	5	,	,	PUNCT
ejpam-6632	375	6	2022	2022	NUM
ejpam-6632	375	7	.	.	PUNCT
ejpam-6632	376	1	[	[	X
ejpam-6632	376	2	46	46	NUM
ejpam-6632	376	3	]	]	X
ejpam-6632	376	4	felice	felice	PROPN
ejpam-6632	376	5	andrea	andrea	PROPN
ejpam-6632	376	6	pellegrino	pellegrino	PROPN
ejpam-6632	376	7	,	,	PUNCT
ejpam-6632	376	8	walter	walter	NOUN
ejpam-6632	376	9	vanzella	vanzella	NOUN
ejpam-6632	376	10	,	,	PUNCT
ejpam-6632	376	11	and	and	CCONJ
ejpam-6632	376	12	vincent	vincent	PROPN
ejpam-6632	376	13	torre	torre	PROPN
ejpam-6632	376	14	.	.	PUNCT
ejpam-6632	377	1	edge	edge	NOUN
ejpam-6632	377	2	detection	detection	NOUN
ejpam-6632	377	3	revisited	revisit	VERB
ejpam-6632	377	4	.	.	PUNCT
ejpam-6632	378	1	ieee	ieee	NOUN
ejpam-6632	378	2	transactions	transaction	NOUN
ejpam-6632	378	3	on	on	ADP
ejpam-6632	378	4	systems	system	NOUN
ejpam-6632	378	5	,	,	PUNCT
ejpam-6632	378	6	man	man	NOUN
ejpam-6632	378	7	,	,	PUNCT
ejpam-6632	378	8	and	and	CCONJ
ejpam-6632	378	9	cybernetics	cybernetic	NOUN
ejpam-6632	378	10	,	,	PUNCT
ejpam-6632	378	11	part	part	NOUN
ejpam-6632	378	12	b	b	PROPN
ejpam-6632	378	13	(	(	PUNCT
ejpam-6632	378	14	cybernetics	cybernetic	NOUN
ejpam-6632	378	15	)	)	PUNCT
ejpam-6632	378	16	,	,	PUNCT
ejpam-6632	378	17	34(3):1500	34(3):1500	NUM
ejpam-6632	378	18	–	–	PUNCT
ejpam-6632	378	19	1518	1518	NUM
ejpam-6632	378	20	,	,	PUNCT
ejpam-6632	378	21	july	july	PROPN
ejpam-6632	378	22	2004	2004	NUM
ejpam-6632	378	23	.	.	PUNCT
ejpam-6632	379	1	[	[	X
ejpam-6632	379	2	47	47	NUM
ejpam-6632	379	3	]	]	X
ejpam-6632	379	4	stefan	stefan	PROPN
ejpam-6632	379	5	van	van	PROPN
ejpam-6632	379	6	der	der	PROPN
ejpam-6632	379	7	walt	walt	PROPN
ejpam-6632	379	8	,	,	PUNCT
ejpam-6632	379	9	johannes	johannes	PROPN
ejpam-6632	379	10	l	l	NOUN
ejpam-6632	379	11	schönberger	schönberger	NOUN
ejpam-6632	379	12	,	,	PUNCT
ejpam-6632	379	13	juan	juan	PROPN
ejpam-6632	379	14	nunez	nunez	PROPN
ejpam-6632	379	15	-	-	PUNCT
ejpam-6632	379	16	iglesias	iglesias	PROPN
ejpam-6632	379	17	,	,	PUNCT
ejpam-6632	379	18	françois	françois	PROPN
ejpam-6632	379	19	boulogne	boulogne	PROPN
ejpam-6632	379	20	,	,	PUNCT
ejpam-6632	379	21	joshua	joshua	PROPN
ejpam-6632	379	22	d	d	PROPN
ejpam-6632	379	23	warner	warner	PROPN
ejpam-6632	379	24	,	,	PUNCT
ejpam-6632	379	25	neil	neil	PROPN
ejpam-6632	379	26	yager	yager	PROPN
ejpam-6632	379	27	,	,	PUNCT
ejpam-6632	379	28	emmanuelle	emmanuelle	PROPN
ejpam-6632	379	29	gouillart	gouillart	NOUN
ejpam-6632	379	30	,	,	PUNCT
ejpam-6632	379	31	and	and	CCONJ
ejpam-6632	379	32	tony	tony	PROPN
ejpam-6632	379	33	yu	yu	PROPN
ejpam-6632	379	34	.	.	PROPN
ejpam-6632	379	35	scikit	scikit	NOUN
ejpam-6632	379	36	-	-	PUNCT
ejpam-6632	379	37	image	image	NOUN
ejpam-6632	379	38	:	:	PUNCT
ejpam-6632	379	39	image	image	NOUN
ejpam-6632	379	40	processing	processing	NOUN
ejpam-6632	379	41	in	in	ADP
ejpam-6632	379	42	python	python	PROPN
ejpam-6632	379	43	.	.	PUNCT
ejpam-6632	380	1	peerj	peerj	PROPN
ejpam-6632	380	2	,	,	PUNCT
ejpam-6632	380	3	2	2	NUM
ejpam-6632	380	4	:	:	PUNCT
ejpam-6632	380	5	e453	e453	NUM
ejpam-6632	380	6	,	,	PUNCT
ejpam-6632	380	7	2014	2014	NUM
ejpam-6632	380	8	.	.	PUNCT
ejpam-6632	381	1	[	[	X
ejpam-6632	381	2	48	48	NUM
ejpam-6632	381	3	]	]	PUNCT
ejpam-6632	381	4	mehrdad	mehrdad	NOUN
ejpam-6632	381	5	arashpour	arashpour	PROPN
ejpam-6632	381	6	,	,	PUNCT
ejpam-6632	381	7	tuan	tuan	PROPN
ejpam-6632	381	8	ngo	ngo	PROPN
ejpam-6632	381	9	,	,	PUNCT
ejpam-6632	381	10	and	and	CCONJ
ejpam-6632	381	11	heng	heng	PROPN
ejpam-6632	381	12	li	li	PROPN
ejpam-6632	381	13	.	.	PROPN
ejpam-6632	381	14	scene	scene	PROPN
ejpam-6632	381	15	understanding	understanding	NOUN
ejpam-6632	381	16	in	in	ADP
ejpam-6632	381	17	construction	construction	NOUN
ejpam-6632	381	18	and	and	CCONJ
ejpam-6632	381	19	buildings	building	NOUN
ejpam-6632	381	20	using	use	VERB
ejpam-6632	381	21	image	image	NOUN
ejpam-6632	381	22	processing	processing	NOUN
ejpam-6632	381	23	methods	method	NOUN
ejpam-6632	381	24	:	:	PUNCT
ejpam-6632	381	25	a	a	DET
ejpam-6632	381	26	comprehensive	comprehensive	ADJ
ejpam-6632	381	27	review	review	NOUN
ejpam-6632	381	28	and	and	CCONJ
ejpam-6632	381	29	a	a	DET
ejpam-6632	381	30	case	case	NOUN
ejpam-6632	381	31	study	study	NOUN
ejpam-6632	381	32	.	.	PUNCT
ejpam-6632	382	1	journal	journal	NOUN
ejpam-6632	382	2	of	of	ADP
ejpam-6632	382	3	building	build	VERB
ejpam-6632	382	4	engineering	engineering	NOUN
ejpam-6632	382	5	,	,	PUNCT
ejpam-6632	382	6	33:101672	33:101672	NUM
ejpam-6632	382	7	,	,	PUNCT
ejpam-6632	382	8	2021	2021	NUM
ejpam-6632	382	9	.	.	PUNCT
ejpam-6632	383	1	introduction	introduction	NOUN
ejpam-6632	383	2	and	and	CCONJ
ejpam-6632	383	3	preliminaries	preliminary	NOUN
ejpam-6632	383	4	main	main	ADJ
ejpam-6632	383	5	results	result	NOUN
ejpam-6632	383	6	literature	literature	NOUN
ejpam-6632	383	7	review	review	VERB
ejpam-6632	383	8	classical	classical	ADJ
ejpam-6632	383	9	filter	filter	NOUN
ejpam-6632	383	10	-	-	PUNCT
ejpam-6632	383	11	based	base	VERB
ejpam-6632	383	12	methods	method	NOUN
ejpam-6632	383	13	pde	pde	NOUN
ejpam-6632	383	14	-	-	PUNCT
ejpam-6632	383	15	based	base	VERB
ejpam-6632	383	16	approches	approche	NOUN
ejpam-6632	383	17	machine	machine	NOUN
ejpam-6632	383	18	learning	learning	NOUN
ejpam-6632	383	19	and	and	CCONJ
ejpam-6632	383	20	deep	deep	ADJ
ejpam-6632	383	21	learning	learning	NOUN
ejpam-6632	383	22	methods	method	NOUN
ejpam-6632	383	23	univalent	univalent	ADJ
ejpam-6632	383	24	function	function	NOUN
ejpam-6632	383	25	theory	theory	NOUN
ejpam-6632	383	26	for	for	ADP
ejpam-6632	383	27	edge	edge	NOUN
ejpam-6632	383	28	detection	detection	NOUN
ejpam-6632	383	29	advantages	advantage	NOUN
ejpam-6632	383	30	of	of	ADP
ejpam-6632	383	31	the	the	DET
ejpam-6632	383	32	function	function	NOUN
ejpam-6632	383	33	-	-	PUNCT
ejpam-6632	383	34	theoretic	theoretic	NOUN
ejpam-6632	383	35	approach	approach	NOUN
ejpam-6632	383	36	limitations	limitation	NOUN
ejpam-6632	383	37	methodology	methodology	NOUN
ejpam-6632	383	38	the	the	DET
ejpam-6632	383	39	proposed	propose	VERB
ejpam-6632	383	40	algorithm	algorithm	NOUN
ejpam-6632	383	41	parameter	parameter	PROPN
ejpam-6632	383	42	initialization	initialization	NOUN
ejpam-6632	383	43	using	use	VERB
ejpam-6632	383	44	analytic	analytic	ADJ
ejpam-6632	383	45	bounds	bound	NOUN
ejpam-6632	383	46	sakaguchi	sakaguchi	ADV
ejpam-6632	383	47	-	-	PUNCT
ejpam-6632	383	48	inspired	inspire	VERB
ejpam-6632	383	49	edge	edge	NOUN
ejpam-6632	383	50	detection	detection	NOUN
ejpam-6632	383	51	:	:	PUNCT
ejpam-6632	383	52	theory	theory	NOUN
ejpam-6632	383	53	-	-	PUNCT
ejpam-6632	383	54	guided	guide	VERB
ejpam-6632	383	55	filtering	filtering	NOUN
ejpam-6632	383	56	fekete	fekete	PROPN
ejpam-6632	383	57	–	–	PUNCT
ejpam-6632	383	58	szegö	szegö	ADJ
ejpam-6632	383	59	contrast	contrast	NOUN
ejpam-6632	383	60	enhancement	enhancement	NOUN
ejpam-6632	383	61	:	:	PUNCT
ejpam-6632	383	62	novelty	novelty	NOUN
ejpam-6632	383	63	via	via	ADP
ejpam-6632	383	64	parameter	parameter	NOUN
ejpam-6632	383	65	restriction	restriction	NOUN
ejpam-6632	383	66	sharpening	sharpening	NOUN
ejpam-6632	383	67	and	and	CCONJ
ejpam-6632	383	68	bilateral	bilateral	ADJ
ejpam-6632	383	69	filtering	filtering	NOUN
ejpam-6632	383	70	under	under	ADP
ejpam-6632	383	71	analytic	analytic	ADJ
ejpam-6632	383	72	constraints	constraint	NOUN
ejpam-6632	383	73	code	code	NOUN
ejpam-6632	383	74	significance	significance	NOUN
ejpam-6632	383	75	result	result	NOUN
ejpam-6632	383	76	and	and	CCONJ
ejpam-6632	383	77	discussion	discussion	NOUN
ejpam-6632	383	78	comparison	comparison	NOUN
ejpam-6632	383	79	of	of	ADP
ejpam-6632	383	80	classical	classical	ADJ
ejpam-6632	383	81	edge	edge	NOUN
ejpam-6632	383	82	detectors	detector	NOUN
ejpam-6632	383	83	with	with	ADP
ejpam-6632	383	84	the	the	DET
ejpam-6632	383	85	proposed	propose	VERB
ejpam-6632	383	86	enhancement	enhancement	NOUN
ejpam-6632	383	87	method	method	NOUN
ejpam-6632	383	88	flower	flower	NOUN
ejpam-6632	383	89	horse	horse	NOUN
ejpam-6632	383	90	leaf	leaf	NOUN
ejpam-6632	383	91	overall	overall	ADJ
ejpam-6632	383	92	analysis	analysis	NOUN
ejpam-6632	383	93	conclusion	conclusion	NOUN
ejpam-6632	383	94	and	and	CCONJ
ejpam-6632	383	95	future	future	ADJ
ejpam-6632	383	96	scope	scope	NOUN