id	sid	tid	token	lemma	pos
ap-620	1	1	ap04-bittnar1.vp	ap04-bittnar1.vp	PROPN
ap-620	1	2	1	1	NUM
ap-620	1	3	introduction	introduction	NOUN
ap-620	1	4	in	in	ADP
ap-620	1	5	recent	recent	ADJ
ap-620	1	6	decades	decade	NOUN
ap-620	1	7	,	,	PUNCT
ap-620	1	8	the	the	DET
ap-620	1	9	finite	finite	ADJ
ap-620	1	10	element	element	NOUN
ap-620	1	11	method	method	NOUN
ap-620	1	12	(	(	PUNCT
ap-620	1	13	fem	fem	NOUN
ap-620	1	14	)	)	PUNCT
ap-620	1	15	has	have	AUX
ap-620	1	16	become	become	VERB
ap-620	1	17	the	the	DET
ap-620	1	18	most	most	ADV
ap-620	1	19	powerful	powerful	ADJ
ap-620	1	20	tool	tool	NOUN
ap-620	1	21	for	for	ADP
ap-620	1	22	structural	structural	ADJ
ap-620	1	23	analysis	analysis	NOUN
ap-620	1	24	.	.	PUNCT
ap-620	2	1	automatic	automatic	ADJ
ap-620	2	2	generation	generation	NOUN
ap-620	2	3	of	of	ADP
ap-620	2	4	consistent	consistent	ADJ
ap-620	2	5	,	,	PUNCT
ap-620	2	6	reproducible	reproducible	ADJ
ap-620	2	7	,	,	PUNCT
ap-620	2	8	high	high	ADJ
ap-620	2	9	quality	quality	NOUN
ap-620	2	10	meshes	mesh	NOUN
ap-620	2	11	without	without	ADP
ap-620	2	12	user	user	NOUN
ap-620	2	13	intervention	intervention	NOUN
ap-620	2	14	makes	make	VERB
ap-620	2	15	the	the	DET
ap-620	2	16	power	power	NOUN
ap-620	2	17	of	of	ADP
ap-620	2	18	the	the	DET
ap-620	2	19	finite	finite	ADJ
ap-620	2	20	element	element	NOUN
ap-620	2	21	analysis	analysis	NOUN
ap-620	2	22	accessible	accessible	ADJ
ap-620	2	23	to	to	ADP
ap-620	2	24	those	those	PRON
ap-620	2	25	not	not	PART
ap-620	2	26	expert	expert	NOUN
ap-620	2	27	in	in	ADP
ap-620	2	28	the	the	DET
ap-620	2	29	area	area	NOUN
ap-620	2	30	of	of	ADP
ap-620	2	31	mesh	mesh	NOUN
ap-620	2	32	generation	generation	NOUN
ap-620	2	33	.	.	PUNCT
ap-620	3	1	therefore	therefore	ADV
ap-620	3	2	tools	tool	NOUN
ap-620	3	3	for	for	ADP
ap-620	3	4	automated	automate	VERB
ap-620	3	5	and	and	CCONJ
ap-620	3	6	efficient	efficient	ADJ
ap-620	3	7	mesh	mesh	NOUN
ap-620	3	8	generation	generation	NOUN
ap-620	3	9	,	,	PUNCT
ap-620	3	10	including	include	VERB
ap-620	3	11	the	the	DET
ap-620	3	12	discretization	discretization	NOUN
ap-620	3	13	of	of	ADP
ap-620	3	14	3d	3d	NUM
ap-620	3	15	surfaces	surface	NOUN
ap-620	3	16	,	,	PUNCT
ap-620	3	17	are	be	AUX
ap-620	3	18	important	important	ADJ
ap-620	3	19	prerequisites	prerequisite	NOUN
ap-620	3	20	for	for	ADP
ap-620	3	21	the	the	DET
ap-620	3	22	complete	complete	ADJ
ap-620	3	23	integration	integration	NOUN
ap-620	3	24	of	of	ADP
ap-620	3	25	the	the	DET
ap-620	3	26	finite	finite	PROPN
ap-620	3	27	element	element	NOUN
ap-620	3	28	method	method	NOUN
ap-620	3	29	with	with	ADP
ap-620	3	30	design	design	NOUN
ap-620	3	31	processes	process	NOUN
ap-620	3	32	in	in	ADP
ap-620	3	33	cad	cad	PROPN
ap-620	3	34	,	,	PUNCT
ap-620	3	35	cae	cae	NOUN
ap-620	3	36	,	,	PUNCT
ap-620	3	37	and	and	CCONJ
ap-620	3	38	cam	cam	NOUN
ap-620	3	39	systems	system	NOUN
ap-620	3	40	.	.	PUNCT
ap-620	4	1	an	an	DET
ap-620	4	2	important	important	ADJ
ap-620	4	3	class	class	NOUN
ap-620	4	4	of	of	ADP
ap-620	4	5	3d	3d	PROPN
ap-620	4	6	surfaces	surface	NOUN
ap-620	4	7	is	be	AUX
ap-620	4	8	the	the	DET
ap-620	4	9	group	group	NOUN
ap-620	4	10	of	of	ADP
ap-620	4	11	surfaces	surface	NOUN
ap-620	4	12	described	describe	VERB
ap-620	4	13	by	by	ADP
ap-620	4	14	the	the	DET
ap-620	4	15	stereolithography	stereolithography	NOUN
ap-620	4	16	(	(	PUNCT
ap-620	4	17	stl	stl	PROPN
ap-620	4	18	)	)	PUNCT
ap-620	4	19	file	file	NOUN
ap-620	4	20	format	format	NOUN
ap-620	4	21	.	.	PUNCT
ap-620	5	1	this	this	DET
ap-620	5	2	format	format	NOUN
ap-620	5	3	approximates	approximate	VERB
ap-620	5	4	3d	3d	NUM
ap-620	5	5	surfaces	surface	NOUN
ap-620	5	6	of	of	ADP
ap-620	5	7	a	a	DET
ap-620	5	8	solid	solid	ADJ
ap-620	5	9	model	model	NOUN
ap-620	5	10	with	with	ADP
ap-620	5	11	oriented	orient	VERB
ap-620	5	12	triangles	triangle	NOUN
ap-620	5	13	(	(	PUNCT
ap-620	5	14	facets	facet	NOUN
ap-620	5	15	)	)	PUNCT
ap-620	5	16	of	of	ADP
ap-620	5	17	different	different	ADJ
ap-620	5	18	size	size	NOUN
ap-620	5	19	and	and	CCONJ
ap-620	5	20	shape	shape	NOUN
ap-620	5	21	(	(	PUNCT
ap-620	5	22	aspect	aspect	NOUN
ap-620	5	23	ratio	ratio	NOUN
ap-620	5	24	)	)	PUNCT
ap-620	5	25	in	in	ADP
ap-620	5	26	order	order	NOUN
ap-620	5	27	to	to	PART
ap-620	5	28	achieve	achieve	VERB
ap-620	5	29	a	a	DET
ap-620	5	30	smooth	smooth	ADJ
ap-620	5	31	enough	enough	ADJ
ap-620	5	32	representation	representation	NOUN
ap-620	5	33	suitable	suitable	ADJ
ap-620	5	34	for	for	ADP
ap-620	5	35	industrial	industrial	ADJ
ap-620	5	36	processing	processing	NOUN
ap-620	5	37	of	of	ADP
ap-620	5	38	3d	3d	NOUN
ap-620	5	39	parts	part	NOUN
ap-620	5	40	using	use	VERB
ap-620	5	41	stereolithography	stereolithography	NOUN
ap-620	5	42	machines	machine	NOUN
ap-620	5	43	.	.	PUNCT
ap-620	6	1	however	however	ADV
ap-620	6	2	,	,	PUNCT
ap-620	6	3	such	such	DET
ap-620	6	4	a	a	DET
ap-620	6	5	representation	representation	NOUN
ap-620	6	6	is	be	AUX
ap-620	6	7	not	not	PART
ap-620	6	8	appropriate	appropriate	ADJ
ap-620	6	9	for	for	ADP
ap-620	6	10	computational	computational	ADJ
ap-620	6	11	analysis	analysis	NOUN
ap-620	6	12	using	use	VERB
ap-620	6	13	fem	fem	NOUN
ap-620	6	14	.	.	PUNCT
ap-620	7	1	the	the	DET
ap-620	7	2	aim	aim	NOUN
ap-620	7	3	of	of	ADP
ap-620	7	4	this	this	DET
ap-620	7	5	paper	paper	NOUN
ap-620	7	6	is	be	AUX
ap-620	7	7	to	to	PART
ap-620	7	8	extend	extend	VERB
ap-620	7	9	a	a	DET
ap-620	7	10	recently	recently	ADV
ap-620	7	11	developed	develop	VERB
ap-620	7	12	algorithm	algorithm	NOUN
ap-620	7	13	for	for	ADP
ap-620	7	14	discretization	discretization	NOUN
ap-620	7	15	of	of	ADP
ap-620	7	16	discrete	discrete	ADJ
ap-620	7	17	3d	3d	NOUN
ap-620	7	18	surfaces	surface	NOUN
ap-620	7	19	[	[	X
ap-620	7	20	1	1	X
ap-620	7	21	]	]	PUNCT
ap-620	7	22	to	to	ADP
ap-620	7	23	the	the	DET
ap-620	7	24	class	class	NOUN
ap-620	7	25	of	of	ADP
ap-620	7	26	surface	surface	NOUN
ap-620	7	27	of	of	ADP
ap-620	7	28	which	which	PRON
ap-620	7	29	the	the	DET
ap-620	7	30	geometry	geometry	NOUN
ap-620	7	31	is	be	AUX
ap-620	7	32	described	describe	VERB
ap-620	7	33	by	by	ADP
ap-620	7	34	discrete	discrete	ADJ
ap-620	7	35	data	datum	NOUN
ap-620	7	36	in	in	ADP
ap-620	7	37	the	the	DET
ap-620	7	38	stl	stl	PROPN
ap-620	7	39	format	format	NOUN
ap-620	7	40	.	.	PUNCT
ap-620	8	1	the	the	DET
ap-620	8	2	actual	actual	ADJ
ap-620	8	3	discretization	discretization	NOUN
ap-620	8	4	consists	consist	VERB
ap-620	8	5	of	of	ADP
ap-620	8	6	several	several	ADJ
ap-620	8	7	phases	phase	NOUN
ap-620	8	8	.	.	PUNCT
ap-620	9	1	initially	initially	ADV
ap-620	9	2	,	,	PUNCT
ap-620	9	3	a	a	DET
ap-620	9	4	boundary	boundary	ADJ
ap-620	9	5	representation	representation	NOUN
ap-620	9	6	of	of	ADP
ap-620	9	7	the	the	DET
ap-620	9	8	entire	entire	ADJ
ap-620	9	9	model	model	NOUN
ap-620	9	10	is	be	AUX
ap-620	9	11	constructed	construct	VERB
ap-620	9	12	from	from	ADP
ap-620	9	13	the	the	DET
ap-620	9	14	stl	stl	PROPN
ap-620	9	15	file	file	NOUN
ap-620	9	16	using	use	VERB
ap-620	9	17	feature	feature	NOUN
ap-620	9	18	recognition	recognition	NOUN
ap-620	9	19	based	base	VERB
ap-620	9	20	on	on	ADP
ap-620	9	21	appropriate	appropriate	ADJ
ap-620	9	22	topological	topological	ADJ
ap-620	9	23	and	and	CCONJ
ap-620	9	24	geometrical	geometrical	ADJ
ap-620	9	25	operations	operation	NOUN
ap-620	9	26	.	.	PUNCT
ap-620	10	1	in	in	ADP
ap-620	10	2	this	this	DET
ap-620	10	3	way	way	NOUN
ap-620	10	4	,	,	PUNCT
ap-620	10	5	distinct	distinct	ADJ
ap-620	10	6	model	model	NOUN
ap-620	10	7	entities	entity	NOUN
ap-620	10	8	(	(	PUNCT
ap-620	10	9	vertices	vertex	NOUN
ap-620	10	10	,	,	PUNCT
ap-620	10	11	curves	curve	NOUN
ap-620	10	12	,	,	PUNCT
ap-620	10	13	and	and	CCONJ
ap-620	10	14	surfaces	surface	NOUN
ap-620	10	15	)	)	PUNCT
ap-620	10	16	of	of	ADP
ap-620	10	17	a	a	DET
ap-620	10	18	topological	topological	ADJ
ap-620	10	19	nature	nature	NOUN
ap-620	10	20	(	(	PUNCT
ap-620	10	21	topological	topological	ADJ
ap-620	10	22	features	feature	NOUN
ap-620	10	23	)	)	PUNCT
ap-620	10	24	or	or	CCONJ
ap-620	10	25	with	with	ADP
ap-620	10	26	important	important	ADJ
ap-620	10	27	geometrical	geometrical	ADJ
ap-620	10	28	aspects	aspect	NOUN
ap-620	10	29	(	(	PUNCT
ap-620	10	30	sharp	sharp	ADJ
ap-620	10	31	features	feature	NOUN
ap-620	10	32	)	)	PUNCT
ap-620	10	33	are	be	AUX
ap-620	10	34	established	establish	VERB
ap-620	10	35	.	.	PUNCT
ap-620	11	1	in	in	ADP
ap-620	11	2	the	the	DET
ap-620	11	3	current	current	ADJ
ap-620	11	4	implementation	implementation	NOUN
ap-620	11	5	,	,	PUNCT
ap-620	11	6	the	the	DET
ap-620	11	7	geometrical	geometrical	ADJ
ap-620	11	8	operations	operation	NOUN
ap-620	11	9	are	be	AUX
ap-620	11	10	based	base	VERB
ap-620	11	11	on	on	ADP
ap-620	11	12	the	the	DET
ap-620	11	13	dihedral	dihedral	ADJ
ap-620	11	14	and	and	CCONJ
ap-620	11	15	turning	turn	VERB
ap-620	11	16	angle	angle	NOUN
ap-620	11	17	,	,	PUNCT
ap-620	11	18	and	and	CCONJ
ap-620	11	19	on	on	ADP
ap-620	11	20	the	the	DET
ap-620	11	21	aspect	aspect	NOUN
ap-620	11	22	ratio	ratio	NOUN
ap-620	11	23	of	of	ADP
ap-620	11	24	two	two	NUM
ap-620	11	25	neighbouring	neighbouring	ADJ
ap-620	11	26	facets	facet	NOUN
ap-620	11	27	.	.	PUNCT
ap-620	12	1	note	note	VERB
ap-620	12	2	that	that	SCONJ
ap-620	12	3	the	the	DET
ap-620	12	4	current	current	ADJ
ap-620	12	5	implementation	implementation	NOUN
ap-620	12	6	makes	make	VERB
ap-620	12	7	no	no	DET
ap-620	12	8	attempt	attempt	NOUN
ap-620	12	9	to	to	PART
ap-620	12	10	detect	detect	VERB
ap-620	12	11	the	the	DET
ap-620	12	12	volumes	volume	NOUN
ap-620	12	13	.	.	PUNCT
ap-620	13	1	in	in	ADP
ap-620	13	2	the	the	DET
ap-620	13	3	next	next	ADJ
ap-620	13	4	phase	phase	NOUN
ap-620	13	5	,	,	PUNCT
ap-620	13	6	a	a	DET
ap-620	13	7	smooth	smooth	ADJ
ap-620	13	8	(	(	PUNCT
ap-620	13	9	limit	limit	NOUN
ap-620	13	10	)	)	PUNCT
ap-620	13	11	surface	surface	NOUN
ap-620	13	12	is	be	AUX
ap-620	13	13	recovered	recover	VERB
ap-620	13	14	over	over	ADP
ap-620	13	15	the	the	DET
ap-620	13	16	original	original	ADJ
ap-620	13	17	stl	stl	PROPN
ap-620	13	18	grid	grid	NOUN
ap-620	13	19	.	.	PUNCT
ap-620	14	1	this	this	PRON
ap-620	14	2	is	be	AUX
ap-620	14	3	accomplished	accomplish	VERB
ap-620	14	4	using	use	VERB
ap-620	14	5	the	the	DET
ap-620	14	6	interpolating	interpolate	VERB
ap-620	14	7	subdivision	subdivision	NOUN
ap-620	14	8	based	base	VERB
ap-620	14	9	on	on	ADP
ap-620	14	10	the	the	DET
ap-620	14	11	modified	modify	VERB
ap-620	14	12	butterfly	butterfly	NOUN
ap-620	14	13	scheme	scheme	NOUN
ap-620	14	14	,	,	PUNCT
ap-620	14	15	which	which	PRON
ap-620	14	16	yields	yield	VERB
ap-620	14	17	c1	c1	PROPN
ap-620	14	18	surfaces	surface	NOUN
ap-620	14	19	(	(	PUNCT
ap-620	14	20	even	even	ADV
ap-620	14	21	in	in	ADP
ap-620	14	22	a	a	DET
ap-620	14	23	topologically	topologically	ADV
ap-620	14	24	irregular	irregular	ADJ
ap-620	14	25	setting	setting	NOUN
ap-620	14	26	)	)	PUNCT
ap-620	14	27	.	.	PUNCT
ap-620	15	1	similarly	similarly	ADV
ap-620	15	2	,	,	PUNCT
ap-620	15	3	the	the	DET
ap-620	15	4	limit	limit	NOUN
ap-620	15	5	boundary	boundary	ADJ
ap-620	15	6	curves	curve	NOUN
ap-620	15	7	are	be	AUX
ap-620	15	8	recovered	recover	VERB
ap-620	15	9	using	use	VERB
ap-620	15	10	one	one	NUM
ap-620	15	11	-	-	PUNCT
ap-620	15	12	dimensional	dimensional	ADJ
ap-620	15	13	interpolating	interpolate	VERB
ap-620	15	14	subdivision	subdivision	NOUN
ap-620	15	15	producing	produce	VERB
ap-620	15	16	c1	c1	NOUN
ap-620	15	17	curves	curve	NOUN
ap-620	15	18	.	.	PUNCT
ap-620	16	1	in	in	ADP
ap-620	16	2	the	the	DET
ap-620	16	3	last	last	ADJ
ap-620	16	4	phase	phase	NOUN
ap-620	16	5	,	,	PUNCT
ap-620	16	6	the	the	DET
ap-620	16	7	reconstructed	reconstruct	VERB
ap-620	16	8	limit	limit	NOUN
ap-620	16	9	surface	surface	NOUN
ap-620	16	10	is	be	AUX
ap-620	16	11	subjected	subject	VERB
ap-620	16	12	to	to	ADP
ap-620	16	13	triangulation	triangulation	NOUN
ap-620	16	14	accomplished	accomplish	VERB
ap-620	16	15	using	use	VERB
ap-620	16	16	the	the	DET
ap-620	16	17	advancing	advance	VERB
ap-620	16	18	front	front	ADJ
ap-620	16	19	technique	technique	NOUN
ap-620	16	20	operating	operate	VERB
ap-620	16	21	directly	directly	ADV
ap-620	16	22	on	on	ADP
ap-620	16	23	the	the	DET
ap-620	16	24	limit	limit	NOUN
ap-620	16	25	surface	surface	NOUN
ap-620	16	26	.	.	PUNCT
ap-620	17	1	this	this	PRON
ap-620	17	2	avoids	avoid	VERB
ap-620	17	3	difficulties	difficulty	NOUN
ap-620	17	4	with	with	ADP
ap-620	17	5	the	the	DET
ap-620	17	6	construction	construction	NOUN
ap-620	17	7	of	of	ADP
ap-620	17	8	smooth	smooth	ADJ
ap-620	17	9	parametrization	parametrization	NOUN
ap-620	17	10	of	of	ADP
ap-620	17	11	the	the	DET
ap-620	17	12	whole	whole	ADJ
ap-620	17	13	surface	surface	NOUN
ap-620	17	14	.	.	PUNCT
ap-620	18	1	the	the	DET
ap-620	18	2	paper	paper	NOUN
ap-620	18	3	is	be	AUX
ap-620	18	4	organized	organize	VERB
ap-620	18	5	as	as	SCONJ
ap-620	18	6	follows	follow	VERB
ap-620	18	7	.	.	PUNCT
ap-620	19	1	in	in	ADP
ap-620	19	2	section	section	NOUN
ap-620	19	3	2	2	NUM
ap-620	19	4	,	,	PUNCT
ap-620	19	5	the	the	DET
ap-620	19	6	stl	stl	PROPN
ap-620	19	7	file	file	NOUN
ap-620	19	8	format	format	NOUN
ap-620	19	9	is	be	AUX
ap-620	19	10	described	describe	VERB
ap-620	19	11	.	.	PUNCT
ap-620	20	1	section	section	NOUN
ap-620	20	2	3	3	NUM
ap-620	20	3	outlines	outline	VERB
ap-620	20	4	the	the	DET
ap-620	20	5	extraction	extraction	NOUN
ap-620	20	6	of	of	ADP
ap-620	20	7	the	the	DET
ap-620	20	8	boundary	boundary	ADJ
ap-620	20	9	representation	representation	NOUN
ap-620	20	10	of	of	ADP
ap-620	20	11	the	the	DET
ap-620	20	12	model	model	NOUN
ap-620	20	13	.	.	PUNCT
ap-620	21	1	the	the	DET
ap-620	21	2	reconstruction	reconstruction	NOUN
ap-620	21	3	of	of	ADP
ap-620	21	4	a	a	DET
ap-620	21	5	smooth	smooth	ADJ
ap-620	21	6	3d	3d	NUM
ap-620	21	7	surface	surface	NOUN
ap-620	21	8	from	from	ADP
ap-620	21	9	the	the	DET
ap-620	21	10	discrete	discrete	ADJ
ap-620	21	11	stl	stl	PROPN
ap-620	21	12	data	datum	NOUN
ap-620	21	13	using	use	VERB
ap-620	21	14	the	the	DET
ap-620	21	15	subdivision	subdivision	NOUN
ap-620	21	16	technique	technique	NOUN
ap-620	21	17	is	be	AUX
ap-620	21	18	recalled	recall	VERB
ap-620	21	19	in	in	ADP
ap-620	21	20	section	section	NOUN
ap-620	21	21	4	4	NUM
ap-620	21	22	.	.	PUNCT
ap-620	21	23	section	section	NOUN
ap-620	21	24	5	5	NUM
ap-620	21	25	briefly	briefly	NOUN
ap-620	21	26	describes	describe	VERB
ap-620	21	27	the	the	DET
ap-620	21	28	actual	actual	ADJ
ap-620	21	29	mesh	mesh	NOUN
ap-620	21	30	generation	generation	NOUN
ap-620	21	31	and	and	CCONJ
ap-620	21	32	presents	present	VERB
ap-620	21	33	the	the	DET
ap-620	21	34	capabilities	capability	NOUN
ap-620	21	35	of	of	ADP
ap-620	21	36	the	the	DET
ap-620	21	37	algorithm	algorithm	NOUN
ap-620	21	38	on	on	ADP
ap-620	21	39	an	an	DET
ap-620	21	40	example	example	NOUN
ap-620	21	41	.	.	PUNCT
ap-620	22	1	the	the	DET
ap-620	22	2	paper	paper	NOUN
ap-620	22	3	ends	end	VERB
ap-620	22	4	with	with	ADP
ap-620	22	5	concluding	conclude	VERB
ap-620	22	6	remarks	remark	NOUN
ap-620	22	7	in	in	ADP
ap-620	22	8	section	section	NOUN
ap-620	22	9	6	6	NUM
ap-620	22	10	.	.	SYM
ap-620	22	11	2	2	NUM
ap-620	22	12	stl	stl	PROPN
ap-620	22	13	file	file	NOUN
ap-620	22	14	format	format	NOUN
ap-620	22	15	an	an	DET
ap-620	22	16	stl	stl	PROPN
ap-620	22	17	file	file	NOUN
ap-620	22	18	is	be	AUX
ap-620	22	19	a	a	DET
ap-620	22	20	triangular	triangular	NOUN
ap-620	22	21	representation	representation	NOUN
ap-620	22	22	of	of	ADP
ap-620	22	23	a	a	DET
ap-620	22	24	3d	3d	NUM
ap-620	22	25	surface	surface	NOUN
ap-620	22	26	geometry	geometry	NOUN
ap-620	22	27	.	.	PUNCT
ap-620	23	1	the	the	DET
ap-620	23	2	surface	surface	NOUN
ap-620	23	3	is	be	AUX
ap-620	23	4	tessellated	tessellate	VERB
ap-620	23	5	logically	logically	ADV
ap-620	23	6	into	into	ADP
ap-620	23	7	a	a	DET
ap-620	23	8	set	set	NOUN
ap-620	23	9	of	of	ADP
ap-620	23	10	oriented	orient	VERB
ap-620	23	11	triangles	triangle	NOUN
ap-620	23	12	(	(	PUNCT
ap-620	23	13	facets	facet	NOUN
ap-620	23	14	)	)	PUNCT
ap-620	23	15	.	.	PUNCT
ap-620	24	1	each	each	DET
ap-620	24	2	facet	facet	PROPN
ap-620	24	3	is	be	AUX
ap-620	24	4	described	describe	VERB
ap-620	24	5	by	by	ADP
ap-620	24	6	the	the	DET
ap-620	24	7	unit	unit	NOUN
ap-620	24	8	outward	outward	VERB
ap-620	24	9	normal	normal	ADJ
ap-620	24	10	and	and	CCONJ
ap-620	24	11	three	three	NUM
ap-620	24	12	points	point	NOUN
ap-620	24	13	listed	list	VERB
ap-620	24	14	in	in	ADP
ap-620	24	15	counterclockwise	counterclockwise	NOUN
ap-620	24	16	order	order	NOUN
ap-620	24	17	representing	represent	VERB
ap-620	24	18	the	the	DET
ap-620	24	19	vertices	vertex	NOUN
ap-620	24	20	of	of	ADP
ap-620	24	21	the	the	DET
ap-620	24	22	triangle	triangle	NOUN
ap-620	24	23	.	.	PUNCT
ap-620	25	1	while	while	SCONJ
ap-620	25	2	the	the	DET
ap-620	25	3	aspect	aspect	NOUN
ap-620	25	4	ratio	ratio	NOUN
ap-620	25	5	and	and	CCONJ
ap-620	25	6	orientation	orientation	NOUN
ap-620	25	7	of	of	ADP
ap-620	25	8	the	the	DET
ap-620	25	9	individual	individual	ADJ
ap-620	25	10	facets	facet	NOUN
ap-620	25	11	is	be	AUX
ap-620	25	12	governed	govern	VERB
ap-620	25	13	by	by	ADP
ap-620	25	14	the	the	DET
ap-620	25	15	surface	surface	NOUN
ap-620	25	16	curvature	curvature	NOUN
ap-620	25	17	,	,	PUNCT
ap-620	25	18	the	the	DET
ap-620	25	19	size	size	NOUN
ap-620	25	20	of	of	ADP
ap-620	25	21	the	the	DET
ap-620	25	22	facets	facet	NOUN
ap-620	25	23	is	be	AUX
ap-620	25	24	driven	drive	VERB
ap-620	25	25	by	by	ADP
ap-620	25	26	the	the	DET
ap-620	25	27	tolerance	tolerance	NOUN
ap-620	25	28	controlling	control	VERB
ap-620	25	29	the	the	DET
ap-620	25	30	quality	quality	NOUN
ap-620	25	31	of	of	ADP
ap-620	25	32	the	the	DET
ap-620	25	33	surface	surface	NOUN
ap-620	25	34	representation	representation	NOUN
ap-620	25	35	in	in	ADP
ap-620	25	36	terms	term	NOUN
ap-620	25	37	of	of	ADP
ap-620	25	38	the	the	DET
ap-620	25	39	distance	distance	NOUN
ap-620	25	40	of	of	ADP
ap-620	25	41	the	the	DET
ap-620	25	42	facets	facet	NOUN
ap-620	25	43	from	from	ADP
ap-620	25	44	the	the	DET
ap-620	25	45	surface	surface	NOUN
ap-620	25	46	.	.	PUNCT
ap-620	26	1	the	the	DET
ap-620	26	2	choice	choice	NOUN
ap-620	26	3	of	of	ADP
ap-620	26	4	the	the	DET
ap-620	26	5	tolerance	tolerance	NOUN
ap-620	26	6	is	be	AUX
ap-620	26	7	strongly	strongly	ADV
ap-620	26	8	dependent	dependent	ADJ
ap-620	26	9	on	on	ADP
ap-620	26	10	the	the	DET
ap-620	26	11	target	target	NOUN
ap-620	26	12	application	application	NOUN
ap-620	26	13	of	of	ADP
ap-620	26	14	the	the	DET
ap-620	26	15	produced	produce	VERB
ap-620	26	16	stl	stl	NOUN
ap-620	26	17	file	file	NOUN
ap-620	26	18	.	.	PUNCT
ap-620	27	1	in	in	ADP
ap-620	27	2	industrial	industrial	ADJ
ap-620	27	3	processing	processing	NOUN
ap-620	27	4	,	,	PUNCT
ap-620	27	5	where	where	SCONJ
ap-620	27	6	stereolithography	stereolithography	NOUN
ap-620	27	7	machines	machine	NOUN
ap-620	27	8	perform	perform	VERB
ap-620	27	9	a	a	DET
ap-620	27	10	computer	computer	NOUN
ap-620	27	11	controlled	control	VERB
ap-620	27	12	layer	layer	NOUN
ap-620	27	13	by	by	ADP
ap-620	27	14	layer	layer	NOUN
ap-620	27	15	laser	laser	NOUN
ap-620	27	16	curing	curing	NOUN
ap-620	27	17	of	of	ADP
ap-620	27	18	a	a	DET
ap-620	27	19	photo	photo	NOUN
ap-620	27	20	-	-	PUNCT
ap-620	27	21	sensitive	sensitive	ADJ
ap-620	27	22	resin	resin	NOUN
ap-620	27	23	,	,	PUNCT
ap-620	27	24	the	the	DET
ap-620	27	25	tolerance	tolerance	NOUN
ap-620	27	26	may	may	AUX
ap-620	27	27	be	be	AUX
ap-620	27	28	in	in	ADP
ap-620	27	29	the	the	DET
ap-620	27	30	order	order	NOUN
ap-620	27	31	of	of	ADP
ap-620	27	32	0.1	0.1	NUM
ap-620	27	33	mm	mm	NOUN
ap-620	27	34	to	to	PART
ap-620	27	35	make	make	VERB
ap-620	27	36	the	the	DET
ap-620	27	37	produced	produce	VERB
ap-620	27	38	3d	3d	NUM
ap-620	27	39	part	part	NOUN
ap-620	27	40	precise	precise	ADJ
ap-620	27	41	with	with	ADP
ap-620	27	42	highly	highly	ADV
ap-620	27	43	worked	work	VERB
ap-620	27	44	out	out	ADP
ap-620	27	45	details	detail	NOUN
ap-620	27	46	.	.	PUNCT
ap-620	28	1	however	however	ADV
ap-620	28	2	,	,	PUNCT
ap-620	28	3	much	much	ADV
ap-620	28	4	larger	large	ADJ
ap-620	28	5	values	value	NOUN
ap-620	28	6	are	be	AUX
ap-620	28	7	typically	typically	ADV
ap-620	28	8	used	use	VERB
ap-620	28	9	in	in	ADP
ap-620	28	10	pre	pre	ADJ
ap-620	28	11	-	-	ADJ
ap-620	28	12	production	production	ADJ
ap-620	28	13	stl	stl	NOUN
ap-620	28	14	prototypes	prototype	NOUN
ap-620	28	15	,	,	PUNCT
ap-620	28	16	for	for	ADP
ap-620	28	17	example	example	NOUN
ap-620	28	18	for	for	ADP
ap-620	28	19	visualization	visualization	NOUN
ap-620	28	20	purposes	purpose	NOUN
ap-620	28	21	.	.	PUNCT
ap-620	29	1	the	the	DET
ap-620	29	2	native	native	ADJ
ap-620	29	3	stl	stl	PROPN
ap-620	29	4	format	format	NOUN
ap-620	29	5	has	have	VERB
ap-620	29	6	to	to	PART
ap-620	29	7	fulfill	fulfill	VERB
ap-620	29	8	the	the	DET
ap-620	29	9	following	follow	VERB
ap-620	29	10	specifications	specification	NOUN
ap-620	29	11	:	:	PUNCT
ap-620	29	12	(	(	PUNCT
ap-620	29	13	i	i	NOUN
ap-620	29	14	)	)	PUNCT
ap-620	29	15	the	the	DET
ap-620	29	16	normal	normal	ADJ
ap-620	29	17	and	and	CCONJ
ap-620	29	18	each	each	DET
ap-620	29	19	vertex	vertex	NOUN
ap-620	29	20	of	of	ADP
ap-620	29	21	every	every	DET
ap-620	29	22	facet	facet	NOUN
ap-620	29	23	are	be	AUX
ap-620	29	24	specified	specify	VERB
ap-620	29	25	by	by	ADP
ap-620	29	26	three	three	NUM
ap-620	29	27	coordinates	coordinate	NOUN
ap-620	29	28	each	each	PRON
ap-620	29	29	,	,	PUNCT
ap-620	29	30	so	so	CCONJ
ap-620	29	31	there	there	PRON
ap-620	29	32	is	be	VERB
ap-620	29	33	a	a	DET
ap-620	29	34	total	total	NOUN
ap-620	29	35	of	of	ADP
ap-620	29	36	12	12	NUM
ap-620	29	37	numbers	number	NOUN
ap-620	29	38	stored	store	VERB
ap-620	29	39	for	for	ADP
ap-620	29	40	each	each	DET
ap-620	29	41	facet	facet	NOUN
ap-620	29	42	.	.	PUNCT
ap-620	30	1	(	(	PUNCT
ap-620	30	2	ii	ii	NOUN
ap-620	30	3	)	)	PUNCT
ap-620	30	4	each	each	DET
ap-620	30	5	facet	facet	PROPN
ap-620	30	6	is	be	AUX
ap-620	30	7	part	part	NOUN
ap-620	30	8	of	of	ADP
ap-620	30	9	the	the	DET
ap-620	30	10	boundary	boundary	NOUN
ap-620	30	11	between	between	ADP
ap-620	30	12	the	the	DET
ap-620	30	13	interior	interior	PROPN
ap-620	30	14	and	and	CCONJ
ap-620	30	15	the	the	DET
ap-620	30	16	exterior	exterior	NOUN
ap-620	30	17	of	of	ADP
ap-620	30	18	the	the	DET
ap-620	30	19	object	object	NOUN
ap-620	30	20	.	.	PUNCT
ap-620	31	1	the	the	DET
ap-620	31	2	orientation	orientation	NOUN
ap-620	31	3	of	of	ADP
ap-620	31	4	the	the	DET
ap-620	31	5	facets	facet	NOUN
ap-620	31	6	(	(	PUNCT
ap-620	31	7	which	which	DET
ap-620	31	8	way	way	NOUN
ap-620	31	9	is	be	AUX
ap-620	31	10	“	"	PUNCT
ap-620	31	11	out	out	ADJ
ap-620	31	12	”	"	PUNCT
ap-620	31	13	and	and	CCONJ
ap-620	31	14	which	which	DET
ap-620	31	15	way	way	NOUN
ap-620	31	16	is	be	AUX
ap-620	31	17	“	"	PUNCT
ap-620	31	18	in	in	ADP
ap-620	31	19	”	"	PUNCT
ap-620	31	20	)	)	PUNCT
ap-620	31	21	is	be	AUX
ap-620	31	22	specified	specify	VERB
ap-620	31	23	redundantly	redundantly	ADV
ap-620	31	24	in	in	ADP
ap-620	31	25	two	two	NUM
ap-620	31	26	ways	way	NOUN
ap-620	31	27	,	,	PUNCT
ap-620	31	28	which	which	PRON
ap-620	31	29	must	must	AUX
ap-620	31	30	be	be	AUX
ap-620	31	31	consistent	consistent	ADJ
ap-620	31	32	.	.	PUNCT
ap-620	32	1	first	first	ADV
ap-620	32	2	,	,	PUNCT
ap-620	32	3	the	the	DET
ap-620	32	4	direction	direction	NOUN
ap-620	32	5	of	of	ADP
ap-620	32	6	the	the	DET
ap-620	32	7	normal	normal	ADJ
ap-620	32	8	is	be	AUX
ap-620	32	9	outward	outward	ADJ
ap-620	32	10	.	.	PUNCT
ap-620	33	1	second	second	ADV
ap-620	33	2	,	,	PUNCT
ap-620	33	3	the	the	DET
ap-620	33	4	vertices	vertex	NOUN
ap-620	33	5	are	be	AUX
ap-620	33	6	listed	list	VERB
ap-620	33	7	in	in	ADP
ap-620	33	8	counterclockwise	counterclockwise	NOUN
ap-620	33	9	order	order	NOUN
ap-620	33	10	when	when	SCONJ
ap-620	33	11	looking	look	VERB
ap-620	33	12	at	at	ADP
ap-620	33	13	the	the	DET
ap-620	33	14	object	object	NOUN
ap-620	33	15	from	from	ADP
ap-620	33	16	the	the	DET
ap-620	33	17	outside	outside	NOUN
ap-620	33	18	(	(	PUNCT
ap-620	33	19	right	right	ADJ
ap-620	33	20	-	-	PUNCT
ap-620	33	21	hand	hand	NOUN
ap-620	33	22	rule	rule	NOUN
ap-620	33	23	)	)	PUNCT
ap-620	33	24	.	.	PUNCT
ap-620	34	1	(	(	PUNCT
ap-620	34	2	iii	iii	X
ap-620	34	3	)	)	PUNCT
ap-620	34	4	each	each	DET
ap-620	34	5	triangle	triangle	NOUN
ap-620	34	6	must	must	AUX
ap-620	34	7	share	share	VERB
ap-620	34	8	two	two	NUM
ap-620	34	9	vertices	vertex	NOUN
ap-620	34	10	with	with	ADP
ap-620	34	11	each	each	PRON
ap-620	34	12	of	of	ADP
ap-620	34	13	its	its	PRON
ap-620	34	14	©	©	PROPN
ap-620	34	15	czech	czech	PROPN
ap-620	34	16	technical	technical	PROPN
ap-620	34	17	university	university	PROPN
ap-620	34	18	publishing	publishing	NOUN
ap-620	34	19	house	house	NOUN
ap-620	34	20	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-620	34	21	61	61	NUM
ap-620	34	22	acta	acta	PROPN
ap-620	34	23	polytechnica	polytechnica	PROPN
ap-620	34	24	vol	vol	NOUN
ap-620	34	25	.	.	PROPN
ap-620	35	1	44	44	NUM
ap-620	36	1	no	no	NOUN
ap-620	36	2	.	.	PUNCT
ap-620	37	1	5–6/2004	5–6/2004	NUM
ap-620	37	2	triangulation	triangulation	NOUN
ap-620	37	3	of	of	ADP
ap-620	37	4	3d	3d	PROPN
ap-620	37	5	surfaces	surface	NOUN
ap-620	37	6	recovered	recover	VERB
ap-620	37	7	from	from	ADP
ap-620	37	8	stl	stl	PROPN
ap-620	37	9	grids	grids	PROPN
ap-620	37	10	d.	d.	PROPN
ap-620	37	11	rypl	rypl	PROPN
ap-620	37	12	,	,	PUNCT
ap-620	37	13	z.	z.	PROPN
ap-620	37	14	bittnar	bittnar	PROPN
ap-620	37	15	in	in	ADP
ap-620	37	16	the	the	DET
ap-620	37	17	present	present	ADJ
ap-620	37	18	paper	paper	NOUN
ap-620	37	19	,	,	PUNCT
ap-620	37	20	an	an	DET
ap-620	37	21	algorithm	algorithm	NOUN
ap-620	37	22	for	for	ADP
ap-620	37	23	the	the	DET
ap-620	37	24	discretization	discretization	NOUN
ap-620	37	25	of	of	ADP
ap-620	37	26	parametric	parametric	ADJ
ap-620	37	27	3d	3d	PROPN
ap-620	37	28	surfaces	surface	NOUN
ap-620	37	29	has	have	AUX
ap-620	37	30	been	be	AUX
ap-620	37	31	extended	extend	VERB
ap-620	37	32	to	to	ADP
ap-620	37	33	the	the	DET
ap-620	37	34	family	family	NOUN
ap-620	37	35	of	of	ADP
ap-620	37	36	discrete	discrete	ADJ
ap-620	37	37	surfaces	surface	NOUN
ap-620	37	38	represented	represent	VERB
ap-620	37	39	by	by	ADP
ap-620	37	40	stereolithography	stereolithography	NOUN
ap-620	37	41	(	(	PUNCT
ap-620	37	42	stl	stl	PROPN
ap-620	37	43	)	)	PUNCT
ap-620	37	44	grids	grid	NOUN
ap-620	37	45	.	.	PUNCT
ap-620	38	1	the	the	DET
ap-620	38	2	stl	stl	PROPN
ap-620	38	3	file	file	NOUN
ap-620	38	4	format	format	NOUN
ap-620	38	5	,	,	PUNCT
ap-620	38	6	developed	develop	VERB
ap-620	38	7	for	for	ADP
ap-620	38	8	the	the	DET
ap-620	38	9	rapid	rapid	ADJ
ap-620	38	10	prototyping	prototyping	NOUN
ap-620	38	11	industry	industry	NOUN
ap-620	38	12	,	,	PUNCT
ap-620	38	13	is	be	AUX
ap-620	38	14	an	an	DET
ap-620	38	15	attractive	attractive	ADJ
ap-620	38	16	alternative	alternative	NOUN
ap-620	38	17	to	to	ADP
ap-620	38	18	surface	surface	NOUN
ap-620	38	19	representation	representation	NOUN
ap-620	38	20	in	in	ADP
ap-620	38	21	solid	solid	ADJ
ap-620	38	22	modeling	modeling	NOUN
ap-620	38	23	.	.	PUNCT
ap-620	39	1	initially	initially	ADV
ap-620	39	2	,	,	PUNCT
ap-620	39	3	a	a	DET
ap-620	39	4	boundary	boundary	ADJ
ap-620	39	5	representation	representation	NOUN
ap-620	39	6	is	be	AUX
ap-620	39	7	constructed	construct	VERB
ap-620	39	8	from	from	ADP
ap-620	39	9	the	the	DET
ap-620	39	10	stl	stl	PROPN
ap-620	39	11	file	file	NOUN
ap-620	39	12	using	use	VERB
ap-620	39	13	feature	feature	NOUN
ap-620	39	14	recognition	recognition	NOUN
ap-620	39	15	.	.	PUNCT
ap-620	40	1	then	then	ADV
ap-620	40	2	a	a	DET
ap-620	40	3	smooth	smooth	ADJ
ap-620	40	4	surface	surface	NOUN
ap-620	40	5	is	be	AUX
ap-620	40	6	recovered	recover	VERB
ap-620	40	7	over	over	ADP
ap-620	40	8	the	the	DET
ap-620	40	9	original	original	ADJ
ap-620	40	10	stl	stl	PROPN
ap-620	40	11	grid	grid	NOUN
ap-620	40	12	using	use	VERB
ap-620	40	13	an	an	DET
ap-620	40	14	interpolating	interpolate	VERB
ap-620	40	15	subdivision	subdivision	NOUN
ap-620	40	16	procedure	procedure	NOUN
ap-620	40	17	.	.	PUNCT
ap-620	41	1	finally	finally	ADV
ap-620	41	2	,	,	PUNCT
ap-620	41	3	the	the	DET
ap-620	41	4	reconstructed	reconstructed	ADJ
ap-620	41	5	surface	surface	NOUN
ap-620	41	6	is	be	AUX
ap-620	41	7	subjected	subject	VERB
ap-620	41	8	to	to	ADP
ap-620	41	9	the	the	DET
ap-620	41	10	triangulation	triangulation	NOUN
ap-620	41	11	accomplished	accomplish	VERB
ap-620	41	12	using	use	VERB
ap-620	41	13	the	the	DET
ap-620	41	14	advancing	advance	VERB
ap-620	41	15	front	front	ADJ
ap-620	41	16	technique	technique	NOUN
ap-620	41	17	operating	operate	VERB
ap-620	41	18	directly	directly	ADV
ap-620	41	19	on	on	ADP
ap-620	41	20	the	the	DET
ap-620	41	21	surface	surface	NOUN
ap-620	41	22	.	.	PUNCT
ap-620	42	1	the	the	DET
ap-620	42	2	capability	capability	NOUN
ap-620	42	3	of	of	ADP
ap-620	42	4	the	the	DET
ap-620	42	5	proposed	propose	VERB
ap-620	42	6	methodology	methodology	NOUN
ap-620	42	7	is	be	AUX
ap-620	42	8	illustrated	illustrate	VERB
ap-620	42	9	on	on	ADP
ap-620	42	10	an	an	DET
ap-620	42	11	example	example	NOUN
ap-620	42	12	.	.	PUNCT
ap-620	43	1	keywords	keyword	NOUN
ap-620	43	2	:	:	PUNCT
ap-620	43	3	3d	3d	NUM
ap-620	43	4	surface	surface	NOUN
ap-620	43	5	,	,	PUNCT
ap-620	43	6	stereolithography	stereolithography	NOUN
ap-620	43	7	format	format	NOUN
ap-620	43	8	,	,	PUNCT
ap-620	43	9	interpolating	interpolate	VERB
ap-620	43	10	subdivision	subdivision	NOUN
ap-620	43	11	,	,	PUNCT
ap-620	43	12	advancing	advance	VERB
ap-620	43	13	front	front	ADJ
ap-620	43	14	technique	technique	NOUN
ap-620	43	15	.	.	PUNCT
ap-620	44	1	adjacent	adjacent	ADJ
ap-620	44	2	triangles	triangle	NOUN
ap-620	44	3	.	.	PUNCT
ap-620	45	1	this	this	PRON
ap-620	45	2	is	be	AUX
ap-620	45	3	known	know	VERB
ap-620	45	4	as	as	ADP
ap-620	45	5	the	the	DET
ap-620	45	6	vertex	vertex	NOUN
ap-620	45	7	-	-	PUNCT
ap-620	45	8	to	to	ADP
ap-620	45	9	-	-	PUNCT
ap-620	45	10	vertex	vertex	NOUN
ap-620	45	11	rule	rule	NOUN
ap-620	45	12	.	.	PUNCT
ap-620	46	1	(	(	PUNCT
ap-620	46	2	iv	iv	X
ap-620	46	3	)	)	PUNCT
ap-620	46	4	the	the	DET
ap-620	46	5	object	object	NOUN
ap-620	46	6	represented	represent	VERB
ap-620	46	7	must	must	AUX
ap-620	46	8	be	be	AUX
ap-620	46	9	located	locate	VERB
ap-620	46	10	in	in	ADP
ap-620	46	11	the	the	DET
ap-620	46	12	all	all	ADV
ap-620	46	13	-	-	PUNCT
ap-620	46	14	positive	positive	ADJ
ap-620	46	15	octant	octant	NOUN
ap-620	46	16	(	(	PUNCT
ap-620	46	17	all	all	DET
ap-620	46	18	vertex	vertex	NOUN
ap-620	46	19	coordinates	coordinate	NOUN
ap-620	46	20	must	must	AUX
ap-620	46	21	be	be	AUX
ap-620	46	22	positive	positive	ADJ
ap-620	46	23	)	)	PUNCT
ap-620	46	24	.	.	PUNCT
ap-620	47	1	however	however	ADV
ap-620	47	2	,	,	PUNCT
ap-620	47	3	for	for	ADP
ap-620	47	4	non	non	ADJ
ap-620	47	5	-	-	ADJ
ap-620	47	6	native	native	ADJ
ap-620	47	7	stl	stl	PROPN
ap-620	47	8	applications	application	NOUN
ap-620	47	9	,	,	PUNCT
ap-620	47	10	the	the	DET
ap-620	47	11	stl	stl	PROPN
ap-620	47	12	format	format	NOUN
ap-620	47	13	can	can	AUX
ap-620	47	14	be	be	AUX
ap-620	47	15	generalized	generalize	VERB
ap-620	47	16	.	.	PUNCT
ap-620	48	1	the	the	PRON
ap-620	48	2	normal	normal	ADJ
ap-620	48	3	,	,	PUNCT
ap-620	48	4	if	if	SCONJ
ap-620	48	5	not	not	PART
ap-620	48	6	specified	specify	VERB
ap-620	48	7	(	(	PUNCT
ap-620	48	8	three	three	NUM
ap-620	48	9	zeros	zero	NOUN
ap-620	48	10	might	might	AUX
ap-620	48	11	be	be	AUX
ap-620	48	12	used	use	VERB
ap-620	48	13	instead	instead	ADV
ap-620	48	14	)	)	PUNCT
ap-620	48	15	,	,	PUNCT
ap-620	48	16	can	can	AUX
ap-620	48	17	be	be	AUX
ap-620	48	18	easily	easily	ADV
ap-620	48	19	computed	compute	VERB
ap-620	48	20	by	by	ADP
ap-620	48	21	the	the	DET
ap-620	48	22	application	application	NOUN
ap-620	48	23	from	from	ADP
ap-620	48	24	the	the	DET
ap-620	48	25	coordinates	coordinate	NOUN
ap-620	48	26	of	of	ADP
ap-620	48	27	the	the	DET
ap-620	48	28	vertices	vertex	NOUN
ap-620	48	29	using	use	VERB
ap-620	48	30	the	the	DET
ap-620	48	31	right	right	ADJ
ap-620	48	32	-	-	PUNCT
ap-620	48	33	hand	hand	NOUN
ap-620	48	34	rule	rule	NOUN
ap-620	48	35	.	.	PUNCT
ap-620	49	1	moreover	moreover	ADV
ap-620	49	2	,	,	PUNCT
ap-620	49	3	the	the	DET
ap-620	49	4	vertices	vertex	NOUN
ap-620	49	5	can	can	AUX
ap-620	49	6	be	be	AUX
ap-620	49	7	located	locate	VERB
ap-620	49	8	in	in	ADP
ap-620	49	9	any	any	DET
ap-620	49	10	octant	octant	NOUN
ap-620	49	11	.	.	PUNCT
ap-620	50	1	and	and	CCONJ
ap-620	50	2	,	,	PUNCT
ap-620	50	3	finally	finally	ADV
ap-620	50	4	,	,	PUNCT
ap-620	50	5	the	the	DET
ap-620	50	6	facet	facet	NOUN
ap-620	50	7	can	can	AUX
ap-620	50	8	even	even	ADV
ap-620	50	9	be	be	AUX
ap-620	50	10	on	on	ADP
ap-620	50	11	the	the	DET
ap-620	50	12	interface	interface	NOUN
ap-620	50	13	between	between	ADP
ap-620	50	14	two	two	NUM
ap-620	50	15	objects	object	NOUN
ap-620	50	16	(	(	PUNCT
ap-620	50	17	or	or	CCONJ
ap-620	50	18	two	two	NUM
ap-620	50	19	parts	part	NOUN
ap-620	50	20	of	of	ADP
ap-620	50	21	the	the	DET
ap-620	50	22	same	same	ADJ
ap-620	50	23	object	object	NOUN
ap-620	50	24	)	)	PUNCT
ap-620	50	25	.	.	PUNCT
ap-620	51	1	this	this	PRON
ap-620	51	2	makes	make	VERB
ap-620	51	3	the	the	DET
ap-620	51	4	generalized	generalized	ADJ
ap-620	51	5	stl	stl	PROPN
ap-620	51	6	format	format	NOUN
ap-620	51	7	suitable	suitable	ADJ
ap-620	51	8	for	for	ADP
ap-620	51	9	modelling	model	VERB
ap-620	51	10	3d	3d	NUM
ap-620	51	11	non	non	ADJ
ap-620	51	12	-	-	ADJ
ap-620	51	13	manifold	manifold	ADJ
ap-620	51	14	objects	object	NOUN
ap-620	51	15	.	.	PUNCT
ap-620	52	1	3	3	NUM
ap-620	52	2	extraction	extraction	NOUN
ap-620	52	3	of	of	ADP
ap-620	52	4	boundary	boundary	ADJ
ap-620	52	5	representation	representation	NOUN
ap-620	52	6	although	although	SCONJ
ap-620	52	7	an	an	DET
ap-620	52	8	stl	stl	PROPN
ap-620	52	9	file	file	NOUN
ap-620	52	10	represents	represent	VERB
ap-620	52	11	a	a	DET
ap-620	52	12	fully	fully	ADV
ap-620	52	13	conforming	conform	VERB
ap-620	52	14	grid	grid	NOUN
ap-620	52	15	,	,	PUNCT
ap-620	52	16	the	the	DET
ap-620	52	17	construction	construction	NOUN
ap-620	52	18	of	of	ADP
ap-620	52	19	a	a	DET
ap-620	52	20	boundary	boundary	ADJ
ap-620	52	21	representation	representation	NOUN
ap-620	52	22	suitable	suitable	ADJ
ap-620	52	23	for	for	ADP
ap-620	52	24	further	further	ADJ
ap-620	52	25	processing	processing	NOUN
ap-620	52	26	is	be	AUX
ap-620	52	27	not	not	PART
ap-620	52	28	trivial	trivial	ADJ
ap-620	52	29	.	.	PUNCT
ap-620	53	1	first	first	ADV
ap-620	53	2	of	of	ADP
ap-620	53	3	all	all	PRON
ap-620	53	4	,	,	PUNCT
ap-620	53	5	the	the	DET
ap-620	53	6	stl	stl	PROPN
ap-620	53	7	file	file	NOUN
ap-620	53	8	has	have	VERB
ap-620	53	9	to	to	PART
ap-620	53	10	be	be	AUX
ap-620	53	11	converted	convert	VERB
ap-620	53	12	to	to	ADP
ap-620	53	13	a	a	DET
ap-620	53	14	topologically	topologically	ADV
ap-620	53	15	more	more	ADV
ap-620	53	16	consistent	consistent	ADJ
ap-620	53	17	form	form	NOUN
ap-620	53	18	(	(	PUNCT
ap-620	53	19	called	call	VERB
ap-620	53	20	a	a	DET
ap-620	53	21	background	background	NOUN
ap-620	53	22	(	(	PUNCT
ap-620	53	23	bg	bg	NOUN
ap-620	53	24	)	)	PUNCT
ap-620	53	25	file	file	NOUN
ap-620	53	26	hereafter	hereafter	ADV
ap-620	53	27	)	)	PUNCT
ap-620	53	28	containing	contain	VERB
ap-620	53	29	initially	initially	ADV
ap-620	53	30	a	a	DET
ap-620	53	31	list	list	NOUN
ap-620	53	32	of	of	ADP
ap-620	53	33	vertices	vertex	NOUN
ap-620	53	34	(	(	PUNCT
ap-620	53	35	called	call	VERB
ap-620	53	36	bg	bg	PROPN
ap-620	53	37	nodes	node	NOUN
ap-620	53	38	hereafter	hereafter	ADV
ap-620	53	39	)	)	PUNCT
ap-620	53	40	,	,	PUNCT
ap-620	53	41	each	each	DET
ap-620	53	42	one	one	NOUN
ap-620	53	43	defined	define	VERB
ap-620	53	44	by	by	ADP
ap-620	53	45	an	an	DET
ap-620	53	46	identification	identification	NOUN
ap-620	53	47	number	number	NOUN
ap-620	53	48	(	(	PUNCT
ap-620	53	49	i	i	NOUN
ap-620	53	50	d	d	PROPN
ap-620	53	51	)	)	PUNCT
ap-620	53	52	and	and	CCONJ
ap-620	53	53	three	three	NUM
ap-620	53	54	coordinates	coordinate	NOUN
ap-620	53	55	,	,	PUNCT
ap-620	53	56	and	and	CCONJ
ap-620	53	57	a	a	DET
ap-620	53	58	list	list	NOUN
ap-620	53	59	of	of	ADP
ap-620	53	60	facets	facet	NOUN
ap-620	53	61	(	(	PUNCT
ap-620	53	62	called	call	VERB
ap-620	53	63	bg	bg	PROPN
ap-620	53	64	faces	face	NOUN
ap-620	53	65	hereafter	hereafter	ADV
ap-620	53	66	)	)	PUNCT
ap-620	53	67	,	,	PUNCT
ap-620	53	68	each	each	DET
ap-620	53	69	one	one	NOUN
ap-620	53	70	defined	define	VERB
ap-620	53	71	by	by	ADP
ap-620	53	72	i	i	PROPN
ap-620	53	73	d	d	PROPN
ap-620	53	74	and	and	CCONJ
ap-620	53	75	three	three	NUM
ap-620	53	76	bg	bg	PROPN
ap-620	53	77	nodes	node	NOUN
ap-620	53	78	ids	id	NOUN
ap-620	53	79	.	.	PUNCT
ap-620	54	1	the	the	DET
ap-620	54	2	background	background	NOUN
ap-620	54	3	file	file	NOUN
ap-620	54	4	is	be	AUX
ap-620	54	5	then	then	ADV
ap-620	54	6	extended	extend	VERB
ap-620	54	7	by	by	ADP
ap-620	54	8	a	a	DET
ap-620	54	9	list	list	NOUN
ap-620	54	10	of	of	ADP
ap-620	54	11	bg	bg	PROPN
ap-620	54	12	edges	edge	NOUN
ap-620	54	13	,	,	PUNCT
ap-620	54	14	each	each	PRON
ap-620	54	15	defined	define	VERB
ap-620	54	16	by	by	ADP
ap-620	54	17	i	i	PROPN
ap-620	54	18	d	d	PROPN
ap-620	54	19	and	and	CCONJ
ap-620	54	20	two	two	NUM
ap-620	54	21	bg	bg	PROPN
ap-620	54	22	nodes	node	NOUN
ap-620	54	23	ids	id	NOUN
ap-620	54	24	.	.	PUNCT
ap-620	55	1	note	note	VERB
ap-620	55	2	that	that	SCONJ
ap-620	55	3	each	each	DET
ap-620	55	4	bg	bg	PROPN
ap-620	55	5	edge	edge	NOUN
ap-620	55	6	must	must	AUX
ap-620	55	7	coincide	coincide	VERB
ap-620	55	8	with	with	ADP
ap-620	55	9	a	a	DET
ap-620	55	10	side	side	NOUN
ap-620	55	11	(	(	PUNCT
ap-620	55	12	called	call	VERB
ap-620	55	13	a	a	DET
ap-620	55	14	bg	bg	PROPN
ap-620	55	15	side	side	NOUN
ap-620	55	16	hereafter	hereafter	ADV
ap-620	55	17	)	)	PUNCT
ap-620	55	18	of	of	ADP
ap-620	55	19	at	at	ADV
ap-620	55	20	least	least	ADV
ap-620	55	21	one	one	NUM
ap-620	55	22	bg	bg	PROPN
ap-620	55	23	face	face	NOUN
ap-620	55	24	.	.	PUNCT
ap-620	56	1	firstly	firstly	ADV
ap-620	56	2	,	,	PUNCT
ap-620	56	3	bg	bg	PROPN
ap-620	56	4	edges	edge	VERB
ap-620	56	5	corresponding	correspond	VERB
ap-620	56	6	to	to	ADP
ap-620	56	7	topological	topological	ADJ
ap-620	56	8	features	feature	NOUN
ap-620	56	9	are	be	AUX
ap-620	56	10	detected	detect	VERB
ap-620	56	11	.	.	PUNCT
ap-620	57	1	these	these	PRON
ap-620	57	2	are	be	AUX
ap-620	57	3	all	all	DET
ap-620	57	4	those	those	DET
ap-620	57	5	bg	bg	PROPN
ap-620	57	6	sides	side	NOUN
ap-620	57	7	that	that	PRON
ap-620	57	8	are	be	AUX
ap-620	57	9	not	not	PART
ap-620	57	10	shared	share	VERB
ap-620	57	11	exactly	exactly	ADV
ap-620	57	12	by	by	ADP
ap-620	57	13	two	two	NUM
ap-620	57	14	bg	bg	PROPN
ap-620	57	15	faces	face	NOUN
ap-620	57	16	.	.	PUNCT
ap-620	58	1	then	then	ADV
ap-620	58	2	bg	bg	PROPN
ap-620	58	3	edges	edge	VERB
ap-620	58	4	corresponding	correspond	VERB
ap-620	58	5	to	to	ADP
ap-620	58	6	geometrical	geometrical	ADJ
ap-620	58	7	(	(	PUNCT
ap-620	58	8	sharp	sharp	ADJ
ap-620	58	9	)	)	PUNCT
ap-620	58	10	features	feature	NOUN
ap-620	58	11	are	be	AUX
ap-620	58	12	identified	identify	VERB
ap-620	58	13	.	.	PUNCT
ap-620	59	1	three	three	NUM
ap-620	59	2	criteria	criterion	NOUN
ap-620	59	3	are	be	AUX
ap-620	59	4	used	use	VERB
ap-620	59	5	in	in	ADP
ap-620	59	6	the	the	DET
ap-620	59	7	following	follow	VERB
ap-620	59	8	order	order	NOUN
ap-620	59	9	.	.	PUNCT
ap-620	60	1	the	the	DET
ap-620	60	2	first	first	ADJ
ap-620	60	3	criterion	criterion	NOUN
ap-620	60	4	is	be	AUX
ap-620	60	5	based	base	VERB
ap-620	60	6	on	on	ADP
ap-620	60	7	finding	find	VERB
ap-620	60	8	all	all	PRON
ap-620	60	9	neighbouring	neighbouring	ADJ
ap-620	60	10	bg	bg	PROPN
ap-620	60	11	faces	face	VERB
ap-620	60	12	that	that	PRON
ap-620	60	13	form	form	VERB
ap-620	60	14	a	a	DET
ap-620	60	15	continuous	continuous	ADJ
ap-620	60	16	plane	plane	NOUN
ap-620	60	17	.	.	PUNCT
ap-620	61	1	then	then	ADV
ap-620	61	2	those	those	DET
ap-620	61	3	bg	bg	PROPN
ap-620	61	4	sides	side	NOUN
ap-620	61	5	that	that	PRON
ap-620	61	6	are	be	AUX
ap-620	61	7	shared	share	VERB
ap-620	61	8	only	only	ADV
ap-620	61	9	by	by	ADP
ap-620	61	10	one	one	NUM
ap-620	61	11	bg	bg	PROPN
ap-620	61	12	face	face	NOUN
ap-620	61	13	corresponding	correspond	VERB
ap-620	61	14	to	to	ADP
ap-620	61	15	a	a	DET
ap-620	61	16	particular	particular	ADJ
ap-620	61	17	plane	plane	NOUN
ap-620	61	18	formed	form	VERB
ap-620	61	19	by	by	ADP
ap-620	61	20	at	at	ADV
ap-620	61	21	least	least	ADV
ap-620	61	22	three	three	NUM
ap-620	61	23	bg	bg	NOUN
ap-620	61	24	faces	face	NOUN
ap-620	61	25	is	be	AUX
ap-620	61	26	marked	mark	VERB
ap-620	61	27	as	as	ADP
ap-620	61	28	a	a	DET
ap-620	61	29	bg	bg	NOUN
ap-620	61	30	edge	edge	NOUN
ap-620	61	31	.	.	PUNCT
ap-620	62	1	the	the	DET
ap-620	62	2	second	second	ADJ
ap-620	62	3	criterion	criterion	NOUN
ap-620	62	4	whether	whether	SCONJ
ap-620	62	5	a	a	DET
ap-620	62	6	bg	bg	PROPN
ap-620	62	7	side	side	NOUN
ap-620	62	8	forms	form	VERB
ap-620	62	9	a	a	DET
ap-620	62	10	sharp	sharp	ADJ
ap-620	62	11	feature	feature	NOUN
ap-620	62	12	uses	use	VERB
ap-620	62	13	the	the	DET
ap-620	62	14	dihedral	dihedral	ADJ
ap-620	62	15	angle	angle	NOUN
ap-620	62	16	(	(	PUNCT
ap-620	62	17	based	base	VERB
ap-620	62	18	on	on	ADP
ap-620	62	19	the	the	DET
ap-620	62	20	angle	angle	NOUN
ap-620	62	21	of	of	ADP
ap-620	62	22	normals	normal	NOUN
ap-620	62	23	)	)	PUNCT
ap-620	62	24	between	between	ADP
ap-620	62	25	the	the	DET
ap-620	62	26	two	two	NUM
ap-620	62	27	neighbouring	neighbouring	ADJ
ap-620	62	28	bg	bg	PROPN
ap-620	62	29	faces	face	VERB
ap-620	62	30	sharing	share	VERB
ap-620	62	31	that	that	SCONJ
ap-620	62	32	bg	bg	PROPN
ap-620	62	33	side	side	NOUN
ap-620	62	34	.	.	PUNCT
ap-620	63	1	should	should	AUX
ap-620	63	2	this	this	DET
ap-620	63	3	angle	angle	NOUN
ap-620	63	4	exceed	exceed	VERB
ap-620	63	5	a	a	DET
ap-620	63	6	user	user	NOUN
ap-620	63	7	specified	specify	VERB
ap-620	63	8	threshold	threshold	NOUN
ap-620	63	9	the	the	DET
ap-620	63	10	bg	bg	PROPN
ap-620	63	11	side	side	NOUN
ap-620	63	12	is	be	AUX
ap-620	63	13	marked	mark	VERB
ap-620	63	14	as	as	ADP
ap-620	63	15	a	a	DET
ap-620	63	16	bg	bg	NOUN
ap-620	63	17	edge	edge	NOUN
ap-620	63	18	.	.	PUNCT
ap-620	64	1	taking	take	VERB
ap-620	64	2	into	into	ADP
ap-620	64	3	account	account	NOUN
ap-620	64	4	that	that	SCONJ
ap-620	64	5	the	the	DET
ap-620	64	6	aspect	aspect	NOUN
ap-620	64	7	ratio	ratio	NOUN
ap-620	64	8	of	of	ADP
ap-620	64	9	bg	bg	PROPN
ap-620	64	10	faces	face	VERB
ap-620	64	11	corresponds	correspond	VERB
ap-620	64	12	to	to	ADP
ap-620	64	13	the	the	DET
ap-620	64	14	curvature	curvature	NOUN
ap-620	64	15	of	of	ADP
ap-620	64	16	the	the	DET
ap-620	64	17	surface	surface	NOUN
ap-620	64	18	,	,	PUNCT
ap-620	64	19	the	the	DET
ap-620	64	20	third	third	ADJ
ap-620	64	21	criterion	criterion	NOUN
ap-620	64	22	is	be	AUX
ap-620	64	23	based	base	VERB
ap-620	64	24	on	on	ADP
ap-620	64	25	the	the	DET
ap-620	64	26	ratio	ratio	NOUN
ap-620	64	27	of	of	ADP
ap-620	64	28	heights	height	NOUN
ap-620	64	29	of	of	ADP
ap-620	64	30	two	two	NUM
ap-620	64	31	neighbouring	neighbouring	ADJ
ap-620	64	32	bg	bg	NOUN
ap-620	64	33	faces	face	VERB
ap-620	64	34	with	with	ADP
ap-620	64	35	respect	respect	NOUN
ap-620	64	36	to	to	ADP
ap-620	64	37	the	the	DET
ap-620	64	38	shared	share	VERB
ap-620	64	39	bg	bg	PROPN
ap-620	64	40	side	side	NOUN
ap-620	64	41	.	.	PUNCT
ap-620	65	1	should	should	AUX
ap-620	65	2	this	this	DET
ap-620	65	3	ratio	ratio	NOUN
ap-620	65	4	exceed	exceed	VERB
ap-620	65	5	a	a	DET
ap-620	65	6	user	user	NOUN
ap-620	65	7	prescribed	prescribe	VERB
ap-620	65	8	threshold	threshold	NOUN
ap-620	65	9	and	and	CCONJ
ap-620	65	10	the	the	DET
ap-620	65	11	normals	normal	NOUN
ap-620	65	12	of	of	ADP
ap-620	65	13	those	those	DET
ap-620	65	14	bg	bg	PROPN
ap-620	65	15	faces	face	NOUN
ap-620	65	16	are	be	AUX
ap-620	65	17	not	not	PART
ap-620	65	18	same	same	ADJ
ap-620	65	19	and	and	CCONJ
ap-620	65	20	do	do	AUX
ap-620	65	21	not	not	PART
ap-620	65	22	exceed	exceed	VERB
ap-620	65	23	the	the	DET
ap-620	65	24	angle	angle	NOUN
ap-620	65	25	threshold	threshold	NOUN
ap-620	65	26	,	,	PUNCT
ap-620	65	27	then	then	ADV
ap-620	65	28	the	the	DET
ap-620	65	29	bg	bg	PROPN
ap-620	65	30	side	side	NOUN
ap-620	65	31	is	be	AUX
ap-620	65	32	marked	mark	VERB
ap-620	65	33	as	as	ADP
ap-620	65	34	a	a	DET
ap-620	65	35	bg	bg	NOUN
ap-620	65	36	edge	edge	NOUN
ap-620	65	37	.	.	PUNCT
ap-620	66	1	when	when	SCONJ
ap-620	66	2	all	all	DET
ap-620	66	3	bg	bg	NOUN
ap-620	66	4	edges	edge	NOUN
ap-620	66	5	are	be	AUX
ap-620	66	6	identified	identify	VERB
ap-620	66	7	,	,	PUNCT
ap-620	66	8	the	the	DET
ap-620	66	9	bg	bg	PROPN
ap-620	66	10	nodes	node	NOUN
ap-620	66	11	corresponding	correspond	VERB
ap-620	66	12	to	to	ADP
ap-620	66	13	topological	topological	ADJ
ap-620	66	14	features	feature	NOUN
ap-620	66	15	are	be	AUX
ap-620	66	16	detected	detect	VERB
ap-620	66	17	and	and	CCONJ
ap-620	66	18	classified	classify	VERB
ap-620	66	19	as	as	ADP
ap-620	66	20	a	a	DET
ap-620	66	21	model	model	NOUN
ap-620	66	22	vertex	vertex	NOUN
ap-620	66	23	.	.	PUNCT
ap-620	67	1	these	these	PRON
ap-620	67	2	are	be	AUX
ap-620	67	3	all	all	PRON
ap-620	67	4	bg	bg	PROPN
ap-620	67	5	nodes	node	NOUN
ap-620	67	6	that	that	PRON
ap-620	67	7	are	be	AUX
ap-620	67	8	not	not	PART
ap-620	67	9	shared	share	VERB
ap-620	67	10	exactly	exactly	ADV
ap-620	67	11	by	by	ADP
ap-620	67	12	two	two	NUM
ap-620	67	13	bg	bg	PROPN
ap-620	67	14	edges	edge	NOUN
ap-620	67	15	.	.	PUNCT
ap-620	68	1	then	then	ADV
ap-620	68	2	the	the	DET
ap-620	68	3	bg	bg	PROPN
ap-620	68	4	nodes	node	NOUN
ap-620	68	5	corresponding	correspond	VERB
ap-620	68	6	to	to	ADP
ap-620	68	7	geometrical	geometrical	ADJ
ap-620	68	8	features	feature	NOUN
ap-620	68	9	are	be	AUX
ap-620	68	10	searched	search	VERB
ap-620	68	11	for	for	ADP
ap-620	68	12	.	.	PUNCT
ap-620	69	1	again	again	ADV
ap-620	69	2	three	three	NUM
ap-620	69	3	criteria	criterion	NOUN
ap-620	69	4	are	be	AUX
ap-620	69	5	used	use	VERB
ap-620	69	6	.	.	PUNCT
ap-620	70	1	the	the	DET
ap-620	70	2	first	first	ADJ
ap-620	70	3	criterion	criterion	NOUN
ap-620	70	4	is	be	AUX
ap-620	70	5	based	base	VERB
ap-620	70	6	on	on	ADP
ap-620	70	7	finding	find	VERB
ap-620	70	8	all	all	DET
ap-620	70	9	neighbouring	neighbouring	ADJ
ap-620	70	10	bg	bg	NOUN
ap-620	70	11	edges	edge	NOUN
ap-620	70	12	that	that	PRON
ap-620	70	13	form	form	VERB
ap-620	70	14	a	a	DET
ap-620	70	15	continuous	continuous	ADJ
ap-620	70	16	straight	straight	ADJ
ap-620	70	17	line	line	NOUN
ap-620	70	18	.	.	PUNCT
ap-620	71	1	then	then	ADV
ap-620	71	2	those	those	DET
ap-620	71	3	bg	bg	PROPN
ap-620	71	4	nodes	node	NOUN
ap-620	71	5	that	that	PRON
ap-620	71	6	are	be	AUX
ap-620	71	7	shared	share	VERB
ap-620	71	8	only	only	ADV
ap-620	71	9	by	by	ADP
ap-620	71	10	one	one	NUM
ap-620	71	11	bg	bg	PROPN
ap-620	71	12	edge	edge	NOUN
ap-620	71	13	corresponding	correspond	VERB
ap-620	71	14	to	to	ADP
ap-620	71	15	a	a	DET
ap-620	71	16	particular	particular	ADJ
ap-620	71	17	line	line	NOUN
ap-620	71	18	formed	form	VERB
ap-620	71	19	by	by	ADP
ap-620	71	20	at	at	ADV
ap-620	71	21	least	least	ADV
ap-620	71	22	two	two	NUM
ap-620	71	23	bg	bg	NOUN
ap-620	71	24	edges	edge	NOUN
ap-620	71	25	is	be	AUX
ap-620	71	26	classified	classify	VERB
ap-620	71	27	as	as	ADP
ap-620	71	28	a	a	DET
ap-620	71	29	model	model	NOUN
ap-620	71	30	vertex	vertex	NOUN
ap-620	71	31	.	.	PUNCT
ap-620	72	1	the	the	DET
ap-620	72	2	second	second	ADJ
ap-620	72	3	criterion	criterion	NOUN
ap-620	72	4	classifies	classify	VERB
ap-620	72	5	as	as	ADP
ap-620	72	6	a	a	DET
ap-620	72	7	model	model	NOUN
ap-620	72	8	vertex	vertex	NOUN
ap-620	72	9	all	all	DET
ap-620	72	10	those	those	DET
ap-620	72	11	bg	bg	PROPN
ap-620	72	12	nodes	node	NOUN
ap-620	72	13	that	that	PRON
ap-620	72	14	are	be	AUX
ap-620	72	15	shared	share	VERB
ap-620	72	16	by	by	ADP
ap-620	72	17	two	two	NUM
ap-620	72	18	bg	bg	PROPN
ap-620	72	19	edges	edge	NOUN
ap-620	72	20	at	at	ADP
ap-620	72	21	a	a	DET
ap-620	72	22	turning	turn	VERB
ap-620	72	23	angle	angle	NOUN
ap-620	72	24	above	above	ADP
ap-620	72	25	a	a	DET
ap-620	72	26	user	user	NOUN
ap-620	72	27	prescribed	prescribe	VERB
ap-620	72	28	value	value	NOUN
ap-620	72	29	.	.	PUNCT
ap-620	73	1	and	and	CCONJ
ap-620	73	2	thirdly	thirdly	ADV
ap-620	73	3	,	,	PUNCT
ap-620	73	4	if	if	SCONJ
ap-620	73	5	the	the	DET
ap-620	73	6	ratio	ratio	NOUN
ap-620	73	7	of	of	ADP
ap-620	73	8	the	the	DET
ap-620	73	9	lengths	length	NOUN
ap-620	73	10	of	of	ADP
ap-620	73	11	two	two	NUM
ap-620	73	12	neighbouring	neighbouring	ADJ
ap-620	73	13	non	non	ADJ
ap-620	73	14	-	-	PROPN
ap-620	73	15	colinear	colinear	ADJ
ap-620	73	16	bg	bg	PROPN
ap-620	73	17	edges	edge	NOUN
ap-620	73	18	exceeds	exceed	VERB
ap-620	73	19	a	a	DET
ap-620	73	20	user	user	NOUN
ap-620	73	21	specified	specify	VERB
ap-620	73	22	value	value	NOUN
ap-620	73	23	,	,	PUNCT
ap-620	73	24	the	the	DET
ap-620	73	25	bg	bg	PROPN
ap-620	73	26	node	node	NOUN
ap-620	73	27	shared	share	VERB
ap-620	73	28	by	by	ADP
ap-620	73	29	those	those	DET
ap-620	73	30	bg	bg	PROPN
ap-620	73	31	edges	edge	NOUN
ap-620	73	32	is	be	AUX
ap-620	73	33	also	also	ADV
ap-620	73	34	classified	classify	VERB
ap-620	73	35	as	as	ADP
ap-620	73	36	a	a	DET
ap-620	73	37	model	model	NOUN
ap-620	73	38	vertex	vertex	NOUN
ap-620	73	39	.	.	PUNCT
ap-620	74	1	note	note	VERB
ap-620	74	2	that	that	SCONJ
ap-620	74	3	the	the	DET
ap-620	74	4	current	current	ADJ
ap-620	74	5	implementation	implementation	NOUN
ap-620	74	6	makes	make	VERB
ap-620	74	7	no	no	DET
ap-620	74	8	attempt	attempt	NOUN
ap-620	74	9	to	to	PART
ap-620	74	10	detect	detect	VERB
ap-620	74	11	a	a	DET
ap-620	74	12	sharp	sharp	ADJ
ap-620	74	13	vertex	vertex	NOUN
ap-620	74	14	not	not	PART
ap-620	74	15	connected	connect	VERB
ap-620	74	16	to	to	ADP
ap-620	74	17	any	any	DET
ap-620	74	18	bg	bg	NOUN
ap-620	74	19	edge	edge	NOUN
ap-620	74	20	(	(	PUNCT
ap-620	74	21	e.g.	e.g.	ADV
ap-620	74	22	the	the	DET
ap-620	74	23	tip	tip	NOUN
ap-620	74	24	of	of	ADP
ap-620	74	25	a	a	DET
ap-620	74	26	cone	cone	NOUN
ap-620	74	27	)	)	PUNCT
ap-620	74	28	.	.	PUNCT
ap-620	75	1	note	note	VERB
ap-620	75	2	also	also	ADV
ap-620	75	3	that	that	SCONJ
ap-620	75	4	each	each	DET
ap-620	75	5	model	model	NOUN
ap-620	75	6	vertex	vertex	NOUN
ap-620	75	7	keeps	keep	VERB
ap-620	75	8	a	a	DET
ap-620	75	9	list	list	NOUN
ap-620	75	10	of	of	ADP
ap-620	75	11	all	all	DET
ap-620	75	12	bg	bg	NOUN
ap-620	75	13	edges	edge	NOUN
ap-620	75	14	connected	connect	VERB
ap-620	75	15	to	to	ADP
ap-620	75	16	it	it	PRON
ap-620	75	17	.	.	PUNCT
ap-620	76	1	once	once	SCONJ
ap-620	76	2	the	the	DET
ap-620	76	3	model	model	NOUN
ap-620	76	4	vertices	vertex	NOUN
ap-620	76	5	are	be	AUX
ap-620	76	6	identified	identify	VERB
ap-620	76	7	,	,	PUNCT
ap-620	76	8	model	model	NOUN
ap-620	76	9	curves	curve	NOUN
ap-620	76	10	can	can	AUX
ap-620	76	11	be	be	AUX
ap-620	76	12	determined	determine	VERB
ap-620	76	13	by	by	ADP
ap-620	76	14	traversing	traverse	VERB
ap-620	76	15	the	the	DET
ap-620	76	16	chains	chain	NOUN
ap-620	76	17	of	of	ADP
ap-620	76	18	connected	connected	ADJ
ap-620	76	19	bg	bg	PROPN
ap-620	76	20	edges	edge	NOUN
ap-620	76	21	from	from	ADP
ap-620	76	22	a	a	DET
ap-620	76	23	starting	starting	NOUN
ap-620	76	24	vertex	vertex	NOUN
ap-620	76	25	until	until	SCONJ
ap-620	76	26	the	the	DET
ap-620	76	27	ending	end	VERB
ap-620	76	28	vertex	vertex	NOUN
ap-620	76	29	is	be	AUX
ap-620	76	30	reached	reach	VERB
ap-620	76	31	.	.	PUNCT
ap-620	77	1	every	every	DET
ap-620	77	2	visited	visit	VERB
ap-620	77	3	bg	bg	NOUN
ap-620	77	4	edge	edge	NOUN
ap-620	77	5	and	and	CCONJ
ap-620	77	6	its	its	PRON
ap-620	77	7	not	not	PART
ap-620	77	8	yet	yet	ADV
ap-620	77	9	classified	classified	ADJ
ap-620	77	10	end	end	NOUN
ap-620	77	11	nodes	node	NOUN
ap-620	77	12	are	be	AUX
ap-620	77	13	classified	classify	VERB
ap-620	77	14	to	to	ADP
ap-620	77	15	the	the	DET
ap-620	77	16	corresponding	corresponding	ADJ
ap-620	77	17	model	model	NOUN
ap-620	77	18	curve	curve	NOUN
ap-620	77	19	.	.	PUNCT
ap-620	78	1	loops	loop	NOUN
ap-620	78	2	of	of	ADP
ap-620	78	3	not	not	PART
ap-620	78	4	visited	visit	VERB
ap-620	78	5	bg	bg	PROPN
ap-620	78	6	edges	edge	NOUN
ap-620	78	7	(	(	PUNCT
ap-620	78	8	there	there	PRON
ap-620	78	9	is	be	VERB
ap-620	78	10	no	no	DET
ap-620	78	11	model	model	NOUN
ap-620	78	12	vertex	vertex	NOUN
ap-620	78	13	on	on	ADP
ap-620	78	14	any	any	PRON
ap-620	78	15	of	of	ADP
ap-620	78	16	those	those	DET
ap-620	78	17	bg	bg	PROPN
ap-620	78	18	edges	edge	NOUN
ap-620	78	19	)	)	PUNCT
ap-620	78	20	and	and	CCONJ
ap-620	78	21	their	their	PRON
ap-620	78	22	end	end	NOUN
ap-620	78	23	nodes	node	NOUN
ap-620	78	24	are	be	AUX
ap-620	78	25	also	also	ADV
ap-620	78	26	classified	classify	VERB
ap-620	78	27	to	to	ADP
ap-620	78	28	a	a	DET
ap-620	78	29	particular	particular	ADJ
ap-620	78	30	model	model	NOUN
ap-620	78	31	curve	curve	NOUN
ap-620	78	32	.	.	PUNCT
ap-620	79	1	finally	finally	ADV
ap-620	79	2	,	,	PUNCT
ap-620	79	3	the	the	DET
ap-620	79	4	model	model	NOUN
ap-620	79	5	surfaces	surface	NOUN
ap-620	79	6	are	be	AUX
ap-620	79	7	identified	identify	VERB
ap-620	79	8	.	.	PUNCT
ap-620	80	1	this	this	PRON
ap-620	80	2	is	be	AUX
ap-620	80	3	simply	simply	ADV
ap-620	80	4	accomplished	accomplish	VERB
ap-620	80	5	by	by	ADP
ap-620	80	6	assembling	assemble	VERB
ap-620	80	7	all	all	DET
ap-620	80	8	neighbouring	neighbouring	ADJ
ap-620	80	9	bg	bg	PROPN
ap-620	80	10	faces	face	NOUN
ap-620	80	11	that	that	PRON
ap-620	80	12	do	do	AUX
ap-620	80	13	not	not	PART
ap-620	80	14	share	share	VERB
ap-620	80	15	the	the	DET
ap-620	80	16	same	same	ADJ
ap-620	80	17	bg	bg	NOUN
ap-620	80	18	edge	edge	NOUN
ap-620	80	19	.	.	PUNCT
ap-620	81	1	each	each	DET
ap-620	81	2	face	face	NOUN
ap-620	81	3	and	and	CCONJ
ap-620	81	4	its	its	PRON
ap-620	81	5	not	not	PART
ap-620	81	6	yet	yet	ADV
ap-620	81	7	classified	classified	ADJ
ap-620	81	8	corner	corner	NOUN
ap-620	81	9	nodes	node	NOUN
ap-620	81	10	are	be	AUX
ap-620	81	11	classified	classify	VERB
ap-620	81	12	to	to	ADP
ap-620	81	13	the	the	DET
ap-620	81	14	corresponding	corresponding	ADJ
ap-620	81	15	model	model	NOUN
ap-620	81	16	surface	surface	NOUN
ap-620	81	17	.	.	PUNCT
ap-620	82	1	since	since	SCONJ
ap-620	82	2	the	the	DET
ap-620	82	3	border	border	NOUN
ap-620	82	4	of	of	ADP
ap-620	82	5	each	each	DET
ap-620	82	6	model	model	NOUN
ap-620	82	7	surface	surface	NOUN
ap-620	82	8	is	be	AUX
ap-620	82	9	formed	form	VERB
ap-620	82	10	by	by	ADP
ap-620	82	11	bg	bg	PROPN
ap-620	82	12	edges	edge	NOUN
ap-620	82	13	,	,	PUNCT
ap-620	82	14	which	which	PRON
ap-620	82	15	are	be	AUX
ap-620	82	16	in	in	ADP
ap-620	82	17	turn	turn	NOUN
ap-620	82	18	classified	classify	VERB
ap-620	82	19	to	to	PART
ap-620	82	20	model	model	NOUN
ap-620	82	21	curves	curve	NOUN
ap-620	82	22	,	,	PUNCT
ap-620	82	23	it	it	PRON
ap-620	82	24	is	be	AUX
ap-620	82	25	easy	easy	ADJ
ap-620	82	26	to	to	PART
ap-620	82	27	set	set	VERB
ap-620	82	28	up	up	ADP
ap-620	82	29	for	for	ADP
ap-620	82	30	each	each	DET
ap-620	82	31	surface	surface	NOUN
ap-620	82	32	the	the	DET
ap-620	82	33	list	list	NOUN
ap-620	82	34	of	of	ADP
ap-620	82	35	boundary	boundary	ADJ
ap-620	82	36	curves	curve	NOUN
ap-620	82	37	.	.	PUNCT
ap-620	83	1	this	this	PRON
ap-620	83	2	makes	make	VERB
ap-620	83	3	the	the	DET
ap-620	83	4	extraction	extraction	NOUN
ap-620	83	5	of	of	ADP
ap-620	83	6	the	the	DET
ap-620	83	7	boundary	boundary	ADJ
ap-620	83	8	representation	representation	NOUN
ap-620	83	9	complete	complete	ADJ
ap-620	83	10	.	.	PUNCT
ap-620	84	1	the	the	DET
ap-620	84	2	problem	problem	NOUN
ap-620	84	3	of	of	ADP
ap-620	84	4	the	the	DET
ap-620	84	5	above	above	ADJ
ap-620	84	6	concept	concept	NOUN
ap-620	84	7	consists	consist	VERB
ap-620	84	8	in	in	ADP
ap-620	84	9	the	the	DET
ap-620	84	10	fact	fact	NOUN
ap-620	84	11	that	that	SCONJ
ap-620	84	12	it	it	PRON
ap-620	84	13	gives	give	VERB
ap-620	84	14	no	no	DET
ap-620	84	15	guide	guide	NOUN
ap-620	84	16	how	how	SCONJ
ap-620	84	17	to	to	PART
ap-620	84	18	choose	choose	VERB
ap-620	84	19	the	the	DET
ap-620	84	20	individual	individual	ADJ
ap-620	84	21	thresholds	threshold	NOUN
ap-620	84	22	.	.	PUNCT
ap-620	85	1	this	this	PRON
ap-620	85	2	is	be	AUX
ap-620	85	3	the	the	DET
ap-620	85	4	consequence	consequence	NOUN
ap-620	85	5	of	of	ADP
ap-620	85	6	the	the	DET
ap-620	85	7	fact	fact	NOUN
ap-620	85	8	that	that	SCONJ
ap-620	85	9	the	the	DET
ap-620	85	10	stl	stl	PROPN
ap-620	85	11	file	file	NOUN
ap-620	85	12	does	do	AUX
ap-620	85	13	not	not	PART
ap-620	85	14	possess	possess	VERB
ap-620	85	15	information	information	NOUN
ap-620	85	16	about	about	ADP
ap-620	85	17	the	the	DET
ap-620	85	18	original	original	ADJ
ap-620	85	19	tolerance	tolerance	NOUN
ap-620	85	20	used	use	VERB
ap-620	85	21	to	to	PART
ap-620	85	22	generate	generate	VERB
ap-620	85	23	it	it	PRON
ap-620	85	24	,	,	PUNCT
ap-620	85	25	and	and	CCONJ
ap-620	85	26	that	that	SCONJ
ap-620	85	27	the	the	DET
ap-620	85	28	identification	identification	NOUN
ap-620	85	29	of	of	ADP
ap-620	85	30	the	the	DET
ap-620	85	31	original	original	ADJ
ap-620	85	32	geometry	geometry	NOUN
ap-620	85	33	from	from	ADP
ap-620	85	34	the	the	DET
ap-620	85	35	stl	stl	PROPN
ap-620	85	36	file	file	NOUN
ap-620	85	37	is	be	AUX
ap-620	85	38	generally	generally	ADV
ap-620	85	39	not	not	PART
ap-620	85	40	unique	unique	ADJ
ap-620	85	41	.	.	PUNCT
ap-620	86	1	in	in	ADP
ap-620	86	2	other	other	ADJ
ap-620	86	3	words	word	NOUN
ap-620	86	4	,	,	PUNCT
ap-620	86	5	there	there	PRON
ap-620	86	6	may	may	AUX
ap-620	86	7	exist	exist	VERB
ap-620	86	8	several	several	ADJ
ap-620	86	9	geometries	geometry	NOUN
ap-620	86	10	that	that	PRON
ap-620	86	11	are	be	AUX
ap-620	86	12	represented	represent	VERB
ap-620	86	13	by	by	ADP
ap-620	86	14	the	the	DET
ap-620	86	15	same	same	ADJ
ap-620	86	16	stl	stl	PROPN
ap-620	86	17	file	file	NOUN
ap-620	86	18	generated	generate	VERB
ap-620	86	19	for	for	ADP
ap-620	86	20	the	the	DET
ap-620	86	21	same	same	ADJ
ap-620	86	22	tolerance	tolerance	NOUN
ap-620	86	23	.	.	PUNCT
ap-620	87	1	a	a	DET
ap-620	87	2	reasonable	reasonable	ADJ
ap-620	87	3	strategy	strategy	NOUN
ap-620	87	4	to	to	PART
ap-620	87	5	tackle	tackle	VERB
ap-620	87	6	this	this	DET
ap-620	87	7	problem	problem	NOUN
ap-620	87	8	is	be	AUX
ap-620	87	9	to	to	PART
ap-620	87	10	use	use	VERB
ap-620	87	11	an	an	DET
ap-620	87	12	iterative	iterative	NOUN
ap-620	87	13	approach	approach	NOUN
ap-620	87	14	in	in	ADP
ap-620	87	15	which	which	PRON
ap-620	87	16	the	the	DET
ap-620	87	17	algorithm	algorithm	NOUN
ap-620	87	18	accepts	accept	VERB
ap-620	87	19	the	the	DET
ap-620	87	20	already	already	ADV
ap-620	87	21	identified	identify	VERB
ap-620	87	22	features	feature	NOUN
ap-620	87	23	from	from	ADP
ap-620	87	24	previous	previous	ADJ
ap-620	87	25	iterations	iteration	NOUN
ap-620	87	26	.	.	PUNCT
ap-620	88	1	initially	initially	ADV
ap-620	88	2	,	,	PUNCT
ap-620	88	3	conservative	conservative	ADJ
ap-620	88	4	values	value	NOUN
ap-620	88	5	of	of	ADP
ap-620	88	6	thresholds	threshold	NOUN
ap-620	88	7	,	,	PUNCT
ap-620	88	8	which	which	PRON
ap-620	88	9	yield	yield	VERB
ap-620	88	10	only	only	ADV
ap-620	88	11	really	really	ADV
ap-620	88	12	“	"	PUNCT
ap-620	88	13	sharp	sharp	ADJ
ap-620	88	14	”	"	PUNCT
ap-620	88	15	features	feature	NOUN
ap-620	88	16	,	,	PUNCT
ap-620	88	17	are	be	AUX
ap-620	88	18	chosen	choose	VERB
ap-620	88	19	to	to	PART
ap-620	88	20	produce	produce	VERB
ap-620	88	21	the	the	DET
ap-620	88	22	first	first	ADJ
ap-620	88	23	boundary	boundary	ADJ
ap-620	88	24	representation	representation	NOUN
ap-620	88	25	of	of	ADP
ap-620	88	26	the	the	DET
ap-620	88	27	object	object	NOUN
ap-620	88	28	.	.	PUNCT
ap-620	89	1	alternatively	alternatively	ADV
ap-620	89	2	,	,	PUNCT
ap-620	89	3	no	no	DET
ap-620	89	4	values	value	NOUN
ap-620	89	5	may	may	AUX
ap-620	89	6	be	be	AUX
ap-620	89	7	specified	specify	VERB
ap-620	89	8	at	at	ADV
ap-620	89	9	all	all	ADV
ap-620	89	10	,	,	PUNCT
ap-620	89	11	resulting	result	VERB
ap-620	89	12	in	in	ADP
ap-620	89	13	boundary	boundary	ADJ
ap-620	89	14	representation	representation	NOUN
ap-620	89	15	based	base	VERB
ap-620	89	16	solely	solely	ADV
ap-620	89	17	on	on	ADP
ap-620	89	18	topological	topological	ADJ
ap-620	89	19	features	feature	NOUN
ap-620	89	20	.	.	PUNCT
ap-620	90	1	next	next	ADJ
ap-620	90	2	,	,	PUNCT
ap-620	90	3	suitable	suitable	ADJ
ap-620	90	4	values	value	NOUN
ap-620	90	5	are	be	AUX
ap-620	90	6	interactively	interactively	ADV
ap-620	90	7	specified	specify	VERB
ap-620	90	8	for	for	ADP
ap-620	90	9	individual	individual	ADJ
ap-620	90	10	entities	entity	NOUN
ap-620	90	11	of	of	ADP
ap-620	90	12	the	the	DET
ap-620	90	13	model	model	NOUN
ap-620	90	14	to	to	PART
ap-620	90	15	further	far	ADV
ap-620	90	16	define	define	VERB
ap-620	90	17	the	the	DET
ap-620	90	18	boundary	boundary	ADJ
ap-620	90	19	representation	representation	NOUN
ap-620	90	20	.	.	PUNCT
ap-620	91	1	however	however	ADV
ap-620	91	2	,	,	PUNCT
ap-620	91	3	even	even	ADV
ap-620	91	4	such	such	DET
ap-620	91	5	an	an	DET
ap-620	91	6	approach	approach	NOUN
ap-620	91	7	can	can	AUX
ap-620	91	8	fail	fail	VERB
ap-620	91	9	to	to	PART
ap-620	91	10	detect	detect	VERB
ap-620	91	11	some	some	DET
ap-620	91	12	significant	significant	ADJ
ap-620	91	13	features	feature	NOUN
ap-620	91	14	of	of	ADP
ap-620	91	15	the	the	DET
ap-620	91	16	object	object	NOUN
ap-620	91	17	(	(	PUNCT
ap-620	91	18	or	or	CCONJ
ap-620	91	19	can	can	AUX
ap-620	91	20	detect	detect	VERB
ap-620	91	21	them	they	PRON
ap-620	91	22	only	only	ADV
ap-620	91	23	at	at	ADP
ap-620	91	24	the	the	DET
ap-620	91	25	cost	cost	NOUN
ap-620	91	26	of	of	ADP
ap-620	91	27	detecting	detect	VERB
ap-620	91	28	simultaneously	simultaneously	ADV
ap-620	91	29	some	some	DET
ap-620	91	30	undesirable	undesirable	ADJ
ap-620	91	31	ones	one	NOUN
ap-620	91	32	)	)	PUNCT
ap-620	91	33	.	.	PUNCT
ap-620	92	1	therefore	therefore	ADV
ap-620	92	2	the	the	DET
ap-620	92	3	identification	identification	NOUN
ap-620	92	4	procedure	procedure	NOUN
ap-620	92	5	can	can	AUX
ap-620	92	6	not	not	PART
ap-620	92	7	rely	rely	VERB
ap-620	92	8	only	only	ADV
ap-620	92	9	on	on	ADP
ap-620	92	10	the	the	DET
ap-620	92	11	threshold	threshold	NOUN
ap-620	92	12	values	value	NOUN
ap-620	92	13	and	and	CCONJ
ap-620	92	14	must	must	AUX
ap-620	92	15	also	also	ADV
ap-620	92	16	accept	accept	VERB
ap-620	92	17	an	an	DET
ap-620	92	18	interactive	interactive	ADJ
ap-620	92	19	input	input	NOUN
ap-620	92	20	of	of	ADP
ap-620	92	21	manually	manually	ADV
ap-620	92	22	selected	select	VERB
ap-620	92	23	(	(	PUNCT
ap-620	92	24	or	or	CCONJ
ap-620	92	25	deselected	deselected	ADJ
ap-620	92	26	)	)	PUNCT
ap-620	92	27	bg	bg	NOUN
ap-620	92	28	edges	edge	NOUN
ap-620	92	29	.	.	PUNCT
ap-620	93	1	this	this	PRON
ap-620	93	2	,	,	PUNCT
ap-620	93	3	however	however	ADV
ap-620	93	4	,	,	PUNCT
ap-620	93	5	makes	make	VERB
ap-620	93	6	the	the	DET
ap-620	93	7	process	process	NOUN
ap-620	93	8	of	of	ADP
ap-620	93	9	extracting	extract	VERB
ap-620	93	10	the	the	DET
ap-620	93	11	boundary	boundary	ADJ
ap-620	93	12	representation	representation	NOUN
ap-620	93	13	tedious	tedious	ADJ
ap-620	93	14	.	.	PUNCT
ap-620	93	15	4	4	NUM
ap-620	93	16	reconstruction	reconstruction	NOUN
ap-620	93	17	of	of	ADP
ap-620	93	18	a	a	DET
ap-620	93	19	limit	limit	NOUN
ap-620	93	20	surface	surface	NOUN
ap-620	93	21	the	the	DET
ap-620	93	22	smooth	smooth	ADJ
ap-620	93	23	surface	surface	NOUN
ap-620	93	24	over	over	ADP
ap-620	93	25	the	the	DET
ap-620	93	26	original	original	ADJ
ap-620	93	27	stl	stl	NOUN
ap-620	93	28	triangulation	triangulation	NOUN
ap-620	93	29	is	be	AUX
ap-620	93	30	reconstructed	reconstruct	VERB
ap-620	93	31	using	use	VERB
ap-620	93	32	a	a	DET
ap-620	93	33	suitable	suitable	ADJ
ap-620	93	34	subdivision	subdivision	NOUN
ap-620	93	35	technique	technique	NOUN
ap-620	93	36	based	base	VERB
ap-620	93	37	on	on	ADP
ap-620	93	38	the	the	DET
ap-620	93	39	hierarchical	hierarchical	ADJ
ap-620	93	40	recursive	recursive	ADJ
ap-620	93	41	refinement	refinement	NOUN
ap-620	93	42	of	of	ADP
ap-620	93	43	triangular	triangular	NOUN
ap-620	93	44	simplices	simplice	NOUN
ap-620	93	45	forming	form	VERB
ap-620	93	46	the	the	DET
ap-620	93	47	stl	stl	PROPN
ap-620	93	48	mesh	mesh	NOUN
ap-620	93	49	(	(	PUNCT
ap-620	93	50	fig	fig	NOUN
ap-620	93	51	.	.	PUNCT
ap-620	94	1	1	1	NUM
ap-620	94	2	)	)	PUNCT
ap-620	94	3	.	.	PUNCT
ap-620	95	1	each	each	DET
ap-620	95	2	step	step	NOUN
ap-620	95	3	of	of	ADP
ap-620	95	4	the	the	DET
ap-620	95	5	refinement	refinement	NOUN
ap-620	95	6	consists	consist	VERB
ap-620	95	7	of	of	ADP
ap-620	95	8	two	two	NUM
ap-620	95	9	stages	stage	NOUN
ap-620	95	10	–	–	PUNCT
ap-620	95	11	splitting	splitting	NOUN
ap-620	95	12	and	and	CCONJ
ap-620	95	13	averaging	average	VERB
ap-620	95	14	(	(	PUNCT
ap-620	95	15	fig	fig	NOUN
ap-620	95	16	.	.	PUNCT
ap-620	96	1	2	2	NUM
ap-620	96	2	)	)	PUNCT
ap-620	96	3	.	.	PUNCT
ap-620	97	1	in	in	ADP
ap-620	97	2	the	the	DET
ap-620	97	3	splitting	splitting	NOUN
ap-620	97	4	stage	stage	NOUN
ap-620	97	5	,	,	PUNCT
ap-620	97	6	new	new	ADJ
ap-620	97	7	bg	bg	PROPN
ap-620	97	8	nodes	node	NOUN
ap-620	97	9	are	be	AUX
ap-620	97	10	introduced	introduce	VERB
ap-620	97	11	exactly	exactly	ADV
ap-620	97	12	in	in	ADP
ap-620	97	13	the	the	DET
ap-620	97	14	middle	middle	NOUN
ap-620	97	15	of	of	ADP
ap-620	97	16	individual	individual	ADJ
ap-620	97	17	bg	bg	PROPN
ap-620	97	18	edges	edge	NOUN
ap-620	97	19	.	.	PUNCT
ap-620	98	1	during	during	ADP
ap-620	98	2	the	the	DET
ap-620	98	3	averaging	averaging	NOUN
ap-620	98	4	,	,	PUNCT
ap-620	98	5	the	the	DET
ap-620	98	6	bg	bg	PROPN
ap-620	98	7	nodes	node	NOUN
ap-620	98	8	are	be	AUX
ap-620	98	9	repositioned	reposition	VERB
ap-620	98	10	to	to	ADP
ap-620	98	11	a	a	DET
ap-620	98	12	new	new	ADJ
ap-620	98	13	location	location	NOUN
ap-620	98	14	evaluated	evaluate	VERB
ap-620	98	15	as	as	ADP
ap-620	98	16	a	a	DET
ap-620	98	17	weighted	weighted	ADJ
ap-620	98	18	average	average	NOUN
ap-620	98	19	of	of	ADP
ap-620	98	20	bg	bg	PROPN
ap-620	98	21	nodes	node	NOUN
ap-620	98	22	in	in	ADP
ap-620	98	23	the	the	DET
ap-620	98	24	neighbourhood	neighbourhood	NOUN
ap-620	98	25	(	(	PUNCT
ap-620	98	26	according	accord	VERB
ap-620	98	27	to	to	ADP
ap-620	98	28	the	the	DET
ap-620	98	29	so	so	ADV
ap-620	98	30	called	call	VERB
ap-620	98	31	averaging	average	VERB
ap-620	98	32	mask	mask	NOUN
ap-620	98	33	)	)	PUNCT
ap-620	98	34	.	.	PUNCT
ap-620	99	1	as	as	ADP
ap-620	99	2	the	the	DET
ap-620	99	3	level	level	NOUN
ap-620	99	4	of	of	ADP
ap-620	99	5	refinement	refinement	NOUN
ap-620	99	6	grows	grow	NOUN
ap-620	99	7	,	,	PUNCT
ap-620	99	8	the	the	DET
ap-620	99	9	resulting	result	VERB
ap-620	99	10	grid	grid	NOUN
ap-620	99	11	approaches	approach	VERB
ap-620	99	12	the	the	DET
ap-620	99	13	so	so	ADV
ap-620	99	14	called	call	VERB
ap-620	99	15	limit	limit	NOUN
ap-620	99	16	surface	surface	NOUN
ap-620	99	17	.	.	PUNCT
ap-620	100	1	62	62	NUM
ap-620	101	1	©	©	PROPN
ap-620	101	2	czech	czech	PROPN
ap-620	101	3	technical	technical	PROPN
ap-620	101	4	university	university	PROPN
ap-620	101	5	publishing	publishing	NOUN
ap-620	101	6	house	house	NOUN
ap-620	101	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-620	101	8	acta	acta	PROPN
ap-620	101	9	polytechnica	polytechnica	PROPN
ap-620	101	10	vol	vol	NOUN
ap-620	101	11	.	.	PROPN
ap-620	102	1	44	44	NUM
ap-620	102	2	no	no	NOUN
ap-620	102	3	.	.	PUNCT
ap-620	103	1	5–6/2004	5–6/2004	NUM
ap-620	103	2	in	in	ADP
ap-620	103	3	the	the	DET
ap-620	103	4	presented	present	VERB
ap-620	103	5	implementation	implementation	NOUN
ap-620	103	6	,	,	PUNCT
ap-620	103	7	the	the	DET
ap-620	103	8	recursive	recursive	ADJ
ap-620	103	9	subdivision	subdivision	NOUN
ap-620	103	10	based	base	VERB
ap-620	103	11	on	on	ADP
ap-620	103	12	the	the	DET
ap-620	103	13	modified	modify	VERB
ap-620	103	14	butterfly	butterfly	NOUN
ap-620	103	15	scheme	scheme	NOUN
ap-620	104	1	[	[	X
ap-620	104	2	2	2	NUM
ap-620	104	3	]	]	PUNCT
ap-620	104	4	has	have	AUX
ap-620	104	5	been	be	AUX
ap-620	104	6	employed	employ	VERB
ap-620	104	7	.	.	PUNCT
ap-620	105	1	it	it	PRON
ap-620	105	2	is	be	AUX
ap-620	105	3	the	the	DET
ap-620	105	4	interpolating	interpolate	VERB
ap-620	105	5	non	non	ADJ
ap-620	105	6	-	-	ADJ
ap-620	105	7	uniform	uniform	ADJ
ap-620	105	8	stationary	stationary	ADJ
ap-620	105	9	scheme	scheme	NOUN
ap-620	105	10	,	,	PUNCT
ap-620	105	11	in	in	ADP
ap-620	105	12	which	which	PRON
ap-620	105	13	the	the	DET
ap-620	105	14	existing	exist	VERB
ap-620	105	15	bg	bg	PROPN
ap-620	105	16	nodes	node	NOUN
ap-620	105	17	(	(	PUNCT
ap-620	105	18	on	on	ADP
ap-620	105	19	the	the	DET
ap-620	105	20	current	current	ADJ
ap-620	105	21	level	level	NOUN
ap-620	105	22	of	of	ADP
ap-620	105	23	refinement	refinement	NOUN
ap-620	105	24	)	)	PUNCT
ap-620	105	25	remain	remain	VERB
ap-620	105	26	unchanged	unchanged	ADJ
ap-620	105	27	and	and	CCONJ
ap-620	105	28	the	the	DET
ap-620	105	29	position	position	NOUN
ap-620	105	30	of	of	ADP
ap-620	105	31	a	a	DET
ap-620	105	32	new	new	ADJ
ap-620	105	33	bg	bg	PROPN
ap-620	105	34	node	node	NOUN
ap-620	105	35	s	s	PROPN
ap-620	105	36	on	on	ADP
ap-620	105	37	the	the	DET
ap-620	105	38	next	next	ADJ
ap-620	105	39	level	level	NOUN
ap-620	105	40	(	(	PUNCT
ap-620	105	41	fig	fig	NOUN
ap-620	105	42	.	.	PUNCT
ap-620	105	43	3a	3a	NUM
ap-620	105	44	)	)	PUNCT
ap-620	105	45	is	be	AUX
ap-620	105	46	calculated	calculate	VERB
ap-620	105	47	as	as	ADP
ap-620	105	48	s	s	PROPN
ap-620	105	49	w	w	PROPN
ap-620	105	50	w	w	NOUN
ap-620	105	51	pr	pr	NOUN
ap-620	106	1	i	i	PRON
ap-620	107	1	i	i	PRON
ap-620	107	2	i	i	PRON
ap-620	107	3	n	n	VERB
ap-620	107	4	�	�	PROPN
ap-620	107	5	�	�	PROPN
ap-620	107	6	�	�	PROPN
ap-620	107	7	�	�	PROPN
ap-620	107	8	1	1	NUM
ap-620	107	9	,	,	PUNCT
ap-620	107	10	(	(	PUNCT
ap-620	107	11	1	1	X
ap-620	107	12	)	)	PUNCT
ap-620	107	13	where	where	SCONJ
ap-620	107	14	pi	pi	NOUN
ap-620	107	15	are	be	AUX
ap-620	107	16	bg	bg	PROPN
ap-620	107	17	nodes	node	NOUN
ap-620	107	18	connected	connect	VERB
ap-620	107	19	to	to	ADP
ap-620	107	20	the	the	DET
ap-620	107	21	surface	surface	NOUN
ap-620	107	22	bg	bg	PROPN
ap-620	107	23	node	node	PROPN
ap-620	107	24	r	r	NOUN
ap-620	107	25	of	of	ADP
ap-620	107	26	valence	valence	NOUN
ap-620	107	27	n.	n.	NOUN
ap-620	107	28	the	the	DET
ap-620	107	29	weights	weight	NOUN
ap-620	107	30	wr	wr	PROPN
ap-620	107	31	and	and	CCONJ
ap-620	107	32	wi	wi	PROPN
ap-620	107	33	corresponding	correspond	VERB
ap-620	107	34	to	to	ADP
ap-620	107	35	the	the	DET
ap-620	107	36	surface	surface	NOUN
ap-620	107	37	averaging	averaging	NOUN
ap-620	107	38	mask	mask	NOUN
ap-620	107	39	(	(	PUNCT
ap-620	107	40	fig	fig	NOUN
ap-620	107	41	.	.	PUNCT
ap-620	108	1	3a	3a	NUM
ap-620	108	2	)	)	PUNCT
ap-620	108	3	are	be	AUX
ap-620	108	4	given	give	VERB
ap-620	108	5	by	by	ADP
ap-620	108	6	wr	wr	PROPN
ap-620	108	7	�	�	PROPN
ap-620	108	8	3	3	NUM
ap-620	108	9	4	4	NUM
ap-620	108	10	,	,	PUNCT
ap-620	108	11	(	(	PUNCT
ap-620	108	12	2	2	X
ap-620	108	13	)	)	PUNCT
ap-620	108	14	w	w	NOUN
ap-620	108	15	n	n	NOUN
ap-620	108	16	i	i	PRON
ap-620	108	17	n	n	ADV
ap-620	109	1	i	i	PRON
ap-620	109	2	ni	ni	PROPN
ap-620	109	3	�	�	PROPN
ap-620	109	4	�	�	PROPN
ap-620	109	5	�	�	PROPN
ap-620	109	6	�	�	PROPN
ap-620	109	7	�	�	PROPN
ap-620	109	8	�	�	PROPN
ap-620	109	9	�	�	PROPN
ap-620	109	10	�	�	PROPN
ap-620	109	11	�	�	PROPN
ap-620	109	12	1	1	NUM
ap-620	109	13	1	1	NUM
ap-620	109	14	4	4	NUM
ap-620	109	15	2	2	NUM
ap-620	109	16	1	1	NUM
ap-620	109	17	1	1	NUM
ap-620	109	18	2	2	NUM
ap-620	109	19	4	4	NUM
ap-620	109	20	1	1	NUM
ap-620	109	21	cos	cos	PROPN
ap-620	109	22	(	(	PUNCT
ap-620	109	23	)	)	PUNCT
ap-620	109	24	cos	cos	PROPN
ap-620	109	25	(	(	PUNCT
ap-620	109	26	)	)	PUNCT
ap-620	109	27	,	,	PUNCT
ap-620	109	28	�	�	PROPN
ap-620	109	29	�	�	PROPN
ap-620	109	30	for	for	ADP
ap-620	109	31	n>4	n>4	NOUN
ap-620	109	32	,	,	PUNCT
ap-620	109	33	(	(	PUNCT
ap-620	109	34	3	3	X
ap-620	109	35	)	)	PUNCT
ap-620	109	36	w	w	PROPN
ap-620	109	37	w	w	PROPN
ap-620	109	38	w	w	PROPN
ap-620	109	39	w1	w1	PROPN
ap-620	109	40	2	2	NUM
ap-620	109	41	3	3	NUM
ap-620	109	42	43	43	NUM
ap-620	109	43	8	8	NUM
ap-620	109	44	0	0	NUM
ap-620	109	45	1	1	NUM
ap-620	109	46	8	8	NUM
ap-620	109	47	0	0	NUM
ap-620	109	48	�	�	PROPN
ap-620	109	49	�	�	PROPN
ap-620	109	50	�	�	PROPN
ap-620	109	51	�	�	PROPN
ap-620	109	52	�	�	PROPN
ap-620	109	53	,	,	PUNCT
ap-620	109	54	,	,	PUNCT
ap-620	109	55	,	,	PUNCT
ap-620	109	56	,	,	PUNCT
ap-620	109	57	for	for	ADP
ap-620	109	58	n	n	PRON
ap-620	109	59	�	�	PROPN
ap-620	109	60	4	4	NUM
ap-620	109	61	,	,	PUNCT
ap-620	109	62	(	(	PUNCT
ap-620	109	63	4	4	NUM
ap-620	109	64	)	)	PUNCT
ap-620	109	65	w	w	PROPN
ap-620	109	66	w	w	PROPN
ap-620	109	67	w1	w1	PROPN
ap-620	109	68	2	2	NUM
ap-620	109	69	35	35	NUM
ap-620	109	70	12	12	NUM
ap-620	109	71	112	112	NUM
ap-620	109	72	112	112	NUM
ap-620	109	73	�	�	PROPN
ap-620	109	74	�	�	PROPN
ap-620	109	75	�	�	PROPN
ap-620	109	76	�	�	PROPN
ap-620	109	77	�	�	PROPN
ap-620	109	78	,	,	PUNCT
ap-620	109	79	,	,	PUNCT
ap-620	109	80	,	,	PUNCT
ap-620	109	81	for	for	ADP
ap-620	109	82	n	n	PRON
ap-620	109	83	�	�	PROPN
ap-620	109	84	3	3	NUM
ap-620	109	85	.	.	PUNCT
ap-620	110	1	(	(	PUNCT
ap-620	110	2	5	5	X
ap-620	110	3	)	)	PUNCT
ap-620	110	4	©	©	PROPN
ap-620	110	5	czech	czech	PROPN
ap-620	110	6	technical	technical	PROPN
ap-620	110	7	university	university	PROPN
ap-620	110	8	publishing	publishing	NOUN
ap-620	110	9	house	house	NOUN
ap-620	110	10	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-620	110	11	63	63	NUM
ap-620	110	12	acta	acta	PROPN
ap-620	110	13	polytechnica	polytechnica	PROPN
ap-620	110	14	vol	vol	NOUN
ap-620	110	15	.	.	PROPN
ap-620	111	1	44	44	NUM
ap-620	111	2	no	no	NOUN
ap-620	111	3	.	.	PUNCT
ap-620	112	1	5–6/2004	5–6/2004	NUM
ap-620	112	2	fig	fig	NOUN
ap-620	112	3	.	.	PUNCT
ap-620	113	1	1	1	NUM
ap-620	113	2	:	:	PUNCT
ap-620	113	3	two	two	NUM
ap-620	113	4	levels	level	NOUN
ap-620	113	5	of	of	ADP
ap-620	113	6	hierarchical	hierarchical	ADJ
ap-620	113	7	refinement	refinement	NOUN
ap-620	113	8	of	of	ADP
ap-620	113	9	a	a	DET
ap-620	113	10	bg	bg	PROPN
ap-620	113	11	face	face	NOUN
ap-620	113	12	fig	fig	NOUN
ap-620	113	13	.	.	PUNCT
ap-620	114	1	2	2	NUM
ap-620	114	2	:	:	PUNCT
ap-620	114	3	two	two	NUM
ap-620	114	4	stages	stage	NOUN
ap-620	114	5	of	of	ADP
ap-620	114	6	refinement	refinement	NOUN
ap-620	114	7	–	–	PUNCT
ap-620	114	8	splitting	splitting	NOUN
ap-620	114	9	and	and	CCONJ
ap-620	114	10	averaging	average	VERB
ap-620	114	11	fig	fig	NOUN
ap-620	114	12	.	.	PUNCT
ap-620	115	1	3	3	X
ap-620	115	2	:	:	PUNCT
ap-620	115	3	averaging	average	VERB
ap-620	115	4	masks	mask	NOUN
ap-620	115	5	:	:	PUNCT
ap-620	115	6	a	a	X
ap-620	115	7	)	)	PUNCT
ap-620	115	8	surface	surface	NOUN
ap-620	115	9	mask	mask	NOUN
ap-620	115	10	(	(	PUNCT
ap-620	115	11	n	n	X
ap-620	115	12	�	�	PROPN
ap-620	115	13	7	7	NUM
ap-620	115	14	)	)	PUNCT
ap-620	115	15	,	,	PUNCT
ap-620	115	16	b	b	X
ap-620	115	17	)	)	PUNCT
ap-620	115	18	4	4	NUM
ap-620	115	19	-	-	PUNCT
ap-620	115	20	point	point	NOUN
ap-620	115	21	curve	curve	NOUN
ap-620	115	22	mask	mask	NOUN
ap-620	115	23	,	,	PUNCT
ap-620	115	24	c	c	NOUN
ap-620	115	25	)	)	PUNCT
ap-620	115	26	3	3	NUM
ap-620	115	27	-	-	PUNCT
ap-620	115	28	point	point	NOUN
ap-620	115	29	curve	curve	NOUN
ap-620	115	30	mask	mask	NOUN
ap-620	115	31	the	the	DET
ap-620	115	32	modified	modify	VERB
ap-620	115	33	butterfly	butterfly	NOUN
ap-620	115	34	scheme	scheme	NOUN
ap-620	115	35	exhibits	exhibit	VERB
ap-620	115	36	favourable	favourable	ADJ
ap-620	115	37	properties	property	NOUN
ap-620	115	38	:	:	PUNCT
ap-620	115	39	�	�	PROPN
ap-620	115	40	generality	generality	NOUN
ap-620	115	41	–	–	PUNCT
ap-620	115	42	it	it	PRON
ap-620	115	43	works	work	VERB
ap-620	115	44	with	with	ADP
ap-620	115	45	a	a	DET
ap-620	115	46	control	control	NOUN
ap-620	115	47	grid	grid	NOUN
ap-620	115	48	of	of	ADP
ap-620	115	49	any	any	DET
ap-620	115	50	topology	topology	NOUN
ap-620	115	51	,	,	PUNCT
ap-620	115	52	�	�	PROPN
ap-620	115	53	smoothness	smoothness	ADJ
ap-620	115	54	–	–	PUNCT
ap-620	115	55	it	it	PRON
ap-620	115	56	yields	yield	VERB
ap-620	115	57	c1	c1	PROPN
ap-620	115	58	continuous	continuous	ADJ
ap-620	115	59	limit	limit	NOUN
ap-620	115	60	surface	surface	NOUN
ap-620	115	61	,	,	PUNCT
ap-620	115	62	�	�	PROPN
ap-620	115	63	locality	locality	NOUN
ap-620	115	64	–	–	PUNCT
ap-620	115	65	it	it	PRON
ap-620	115	66	uses	use	VERB
ap-620	115	67	only	only	ADV
ap-620	115	68	a	a	DET
ap-620	115	69	one	one	NUM
ap-620	115	70	-	-	PUNCT
ap-620	115	71	level	level	NOUN
ap-620	115	72	neighbourhood	neighbourhood	NOUN
ap-620	115	73	and	and	CCONJ
ap-620	115	74	�	�	PROPN
ap-620	115	75	simplicity	simplicity	NOUN
ap-620	115	76	–	–	PUNCT
ap-620	115	77	it	it	PRON
ap-620	115	78	ensures	ensure	VERB
ap-620	115	79	easy	easy	ADJ
ap-620	115	80	and	and	CCONJ
ap-620	115	81	efficient	efficient	ADJ
ap-620	115	82	evaluation	evaluation	NOUN
ap-620	115	83	.	.	PUNCT
ap-620	116	1	similarly	similarly	ADV
ap-620	116	2	,	,	PUNCT
ap-620	116	3	the	the	DET
ap-620	116	4	limit	limit	NOUN
ap-620	116	5	boundary	boundary	ADJ
ap-620	116	6	curves	curve	NOUN
ap-620	116	7	are	be	AUX
ap-620	116	8	recovered	recover	VERB
ap-620	116	9	using	use	VERB
ap-620	116	10	a	a	DET
ap-620	116	11	one	one	NUM
ap-620	116	12	-	-	PUNCT
ap-620	116	13	dimensional	dimensional	ADJ
ap-620	116	14	interpolating	interpolate	VERB
ap-620	116	15	subdivision	subdivision	NOUN
ap-620	117	1	[	[	X
ap-620	117	2	3	3	NUM
ap-620	117	3	]	]	X
ap-620	117	4	producing	produce	VERB
ap-620	117	5	c1	c1	NOUN
ap-620	117	6	continuous	continuous	ADJ
ap-620	117	7	curves	curve	NOUN
ap-620	117	8	.	.	PUNCT
ap-620	118	1	the	the	DET
ap-620	118	2	adopted	adopt	VERB
ap-620	118	3	4	4	NUM
ap-620	118	4	-	-	PUNCT
ap-620	118	5	point	point	NOUN
ap-620	118	6	(	(	PUNCT
ap-620	118	7	for	for	ADP
ap-620	118	8	a	a	DET
ap-620	118	9	new	new	ADJ
ap-620	118	10	bg	bg	PROPN
ap-620	118	11	node	node	NOUN
ap-620	118	12	between	between	ADP
ap-620	118	13	two	two	NUM
ap-620	118	14	curve	curve	NOUN
ap-620	118	15	bg	bg	PROPN
ap-620	118	16	nodes	node	NOUN
ap-620	118	17	)	)	PUNCT
ap-620	118	18	and	and	CCONJ
ap-620	118	19	3	3	NUM
ap-620	118	20	-	-	PUNCT
ap-620	118	21	point	point	NOUN
ap-620	118	22	(	(	PUNCT
ap-620	118	23	for	for	ADP
ap-620	118	24	a	a	DET
ap-620	118	25	new	new	ADJ
ap-620	118	26	bg	bg	PROPN
ap-620	118	27	node	node	NOUN
ap-620	118	28	between	between	ADP
ap-620	118	29	a	a	DET
ap-620	118	30	vertex	vertex	NOUN
ap-620	118	31	bg	bg	X
ap-620	118	32	node	node	NOUN
ap-620	118	33	and	and	CCONJ
ap-620	118	34	a	a	DET
ap-620	118	35	curve	curve	NOUN
ap-620	118	36	bg	bg	PROPN
ap-620	118	37	node	node	PROPN
ap-620	118	38	)	)	PUNCT
ap-620	118	39	averaging	average	VERB
ap-620	118	40	masks	mask	NOUN
ap-620	118	41	are	be	AUX
ap-620	118	42	depicted	depict	VERB
ap-620	118	43	in	in	ADP
ap-620	118	44	fig	fig	NOUN
ap-620	118	45	.	.	PUNCT
ap-620	119	1	3b	3b	NOUN
ap-620	119	2	and	and	CCONJ
ap-620	119	3	3c	3c	NUM
ap-620	119	4	.	.	PUNCT
ap-620	120	1	the	the	DET
ap-620	120	2	final	final	ADJ
ap-620	120	3	interpolating	interpolate	VERB
ap-620	120	4	procedure	procedure	NOUN
ap-620	120	5	evaluates	evaluate	VERB
ap-620	120	6	the	the	DET
ap-620	120	7	position	position	NOUN
ap-620	120	8	of	of	ADP
ap-620	120	9	a	a	DET
ap-620	120	10	new	new	ADJ
ap-620	120	11	bg	bg	PROPN
ap-620	120	12	node	node	NOUN
ap-620	120	13	according	accord	VERB
ap-620	120	14	to	to	ADP
ap-620	120	15	the	the	DET
ap-620	120	16	classification	classification	NOUN
ap-620	120	17	and	and	CCONJ
ap-620	120	18	regularity	regularity	NOUN
ap-620	120	19	of	of	ADP
ap-620	120	20	the	the	DET
ap-620	120	21	end	end	NOUN
ap-620	120	22	bg	bg	PROPN
ap-620	120	23	nodes	node	NOUN
ap-620	120	24	of	of	ADP
ap-620	120	25	its	its	PRON
ap-620	120	26	parent	parent	NOUN
ap-620	120	27	bg	bg	PROPN
ap-620	120	28	edge	edge	NOUN
ap-620	120	29	(	(	PUNCT
ap-620	120	30	a	a	DET
ap-620	120	31	surface	surface	NOUN
ap-620	120	32	bg	bg	PROPN
ap-620	120	33	node	node	NOUN
ap-620	120	34	of	of	ADP
ap-620	120	35	valence	valence	NOUN
ap-620	120	36	6	6	NUM
ap-620	120	37	is	be	AUX
ap-620	120	38	called	call	VERB
ap-620	120	39	regular	regular	ADJ
ap-620	120	40	,	,	PUNCT
ap-620	120	41	otherwise	otherwise	ADV
ap-620	120	42	it	it	PRON
ap-620	120	43	is	be	AUX
ap-620	120	44	called	call	VERB
ap-620	120	45	irregular	irregular	ADJ
ap-620	120	46	):	):	PUNCT
ap-620	120	47	1	1	X
ap-620	120	48	.	.	X
ap-620	121	1	for	for	ADP
ap-620	121	2	every	every	DET
ap-620	121	3	surface	surface	NOUN
ap-620	121	4	bg	bg	PROPN
ap-620	121	5	edge	edge	NOUN
ap-620	121	6	bounded	bound	VERB
ap-620	121	7	by	by	ADP
ap-620	121	8	an	an	DET
ap-620	121	9	irregular	irregular	ADJ
ap-620	121	10	surface	surface	NOUN
ap-620	121	11	bg	bg	PROPN
ap-620	121	12	node	node	NOUN
ap-620	121	13	and	and	CCONJ
ap-620	121	14	a	a	DET
ap-620	121	15	regular	regular	ADJ
ap-620	121	16	surface	surface	NOUN
ap-620	121	17	bg	bg	PROPN
ap-620	121	18	node	node	PROPN
ap-620	121	19	,	,	PUNCT
ap-620	121	20	compute	compute	VERB
ap-620	121	21	the	the	DET
ap-620	121	22	bg	bg	PROPN
ap-620	121	23	midnode	midnode	PROPN
ap-620	121	24	position	position	NOUN
ap-620	121	25	using	use	VERB
ap-620	121	26	the	the	DET
ap-620	121	27	surface	surface	NOUN
ap-620	121	28	averaging	averaging	NOUN
ap-620	121	29	mask	mask	NOUN
ap-620	121	30	with	with	ADP
ap-620	121	31	respect	respect	NOUN
ap-620	121	32	to	to	ADP
ap-620	121	33	the	the	DET
ap-620	121	34	irregular	irregular	ADJ
ap-620	121	35	surface	surface	NOUN
ap-620	121	36	bg	bg	PROPN
ap-620	121	37	node	node	PROPN
ap-620	121	38	,	,	PUNCT
ap-620	121	39	2	2	NUM
ap-620	121	40	.	.	X
ap-620	122	1	for	for	ADP
ap-620	122	2	every	every	DET
ap-620	122	3	surface	surface	NOUN
ap-620	122	4	bg	bg	PROPN
ap-620	122	5	edge	edge	NOUN
ap-620	122	6	bounded	bound	VERB
ap-620	122	7	by	by	ADP
ap-620	122	8	two	two	NUM
ap-620	122	9	irregular	irregular	ADJ
ap-620	122	10	or	or	CCONJ
ap-620	122	11	regular	regular	ADJ
ap-620	122	12	surface	surface	NOUN
ap-620	122	13	bg	bg	PROPN
ap-620	122	14	nodes	node	NOUN
ap-620	122	15	,	,	PUNCT
ap-620	122	16	compute	compute	VERB
ap-620	122	17	the	the	DET
ap-620	122	18	bg	bg	PROPN
ap-620	122	19	midnode	midnode	PROPN
ap-620	122	20	position	position	NOUN
ap-620	122	21	using	use	VERB
ap-620	122	22	the	the	DET
ap-620	122	23	surface	surface	NOUN
ap-620	122	24	averaging	averaging	NOUN
ap-620	122	25	mask	mask	NOUN
ap-620	122	26	with	with	ADP
ap-620	122	27	respect	respect	NOUN
ap-620	122	28	to	to	ADP
ap-620	122	29	both	both	PRON
ap-620	122	30	end	end	VERB
ap-620	122	31	bg	bg	PROPN
ap-620	122	32	nodes	node	NOUN
ap-620	122	33	and	and	CCONJ
ap-620	122	34	take	take	VERB
ap-620	122	35	the	the	DET
ap-620	122	36	average	average	NOUN
ap-620	122	37	,	,	PUNCT
ap-620	122	38	3	3	X
ap-620	122	39	.	.	X
ap-620	123	1	for	for	ADP
ap-620	123	2	every	every	DET
ap-620	123	3	surface	surface	NOUN
ap-620	123	4	bg	bg	PROPN
ap-620	123	5	edge	edge	NOUN
ap-620	123	6	bounded	bound	VERB
ap-620	123	7	by	by	ADP
ap-620	123	8	a	a	DET
ap-620	123	9	surface	surface	NOUN
ap-620	123	10	bg	bg	NOUN
ap-620	123	11	node	node	NOUN
ap-620	123	12	and	and	CCONJ
ap-620	123	13	a	a	DET
ap-620	123	14	non	non	ADJ
ap-620	123	15	-	-	ADJ
ap-620	123	16	surface	surface	ADJ
ap-620	123	17	bg	bg	PROPN
ap-620	123	18	node	node	PROPN
ap-620	123	19	,	,	PUNCT
ap-620	123	20	compute	compute	VERB
ap-620	123	21	the	the	DET
ap-620	123	22	bg	bg	PROPN
ap-620	123	23	midnode	midnode	PROPN
ap-620	123	24	position	position	NOUN
ap-620	123	25	using	use	VERB
ap-620	123	26	the	the	DET
ap-620	123	27	surface	surface	NOUN
ap-620	123	28	averaging	averaging	NOUN
ap-620	123	29	mask	mask	NOUN
ap-620	123	30	with	with	ADP
ap-620	123	31	respect	respect	NOUN
ap-620	123	32	to	to	ADP
ap-620	123	33	the	the	DET
ap-620	123	34	surface	surface	NOUN
ap-620	123	35	bg	bg	PROPN
ap-620	123	36	node	node	PROPN
ap-620	123	37	,	,	PUNCT
ap-620	123	38	4	4	NUM
ap-620	123	39	.	.	X
ap-620	124	1	for	for	ADP
ap-620	124	2	every	every	DET
ap-620	124	3	surface	surface	NOUN
ap-620	124	4	bg	bg	PROPN
ap-620	124	5	edge	edge	NOUN
ap-620	124	6	bounded	bound	VERB
ap-620	124	7	by	by	ADP
ap-620	124	8	two	two	NUM
ap-620	124	9	non	non	ADJ
ap-620	124	10	-	-	ADJ
ap-620	124	11	surface	surface	ADJ
ap-620	124	12	bg	bg	PROPN
ap-620	124	13	nodes	node	NOUN
ap-620	124	14	,	,	PUNCT
ap-620	124	15	compute	compute	VERB
ap-620	124	16	the	the	DET
ap-620	124	17	bg	bg	PROPN
ap-620	124	18	midnode	midnode	PROPN
ap-620	124	19	position	position	NOUN
ap-620	124	20	as	as	ADP
ap-620	124	21	the	the	DET
ap-620	124	22	average	average	NOUN
ap-620	124	23	of	of	ADP
ap-620	124	24	the	the	DET
ap-620	124	25	positions	position	NOUN
ap-620	124	26	of	of	ADP
ap-620	124	27	the	the	DET
ap-620	124	28	end	end	NOUN
ap-620	124	29	bg	bg	PROPN
ap-620	124	30	nodes	node	NOUN
ap-620	124	31	,	,	PUNCT
ap-620	124	32	5	5	NUM
ap-620	124	33	.	.	X
ap-620	125	1	for	for	ADP
ap-620	125	2	every	every	DET
ap-620	125	3	curve	curve	NOUN
ap-620	125	4	bg	bg	PROPN
ap-620	125	5	edge	edge	NOUN
ap-620	125	6	bounded	bound	VERB
ap-620	125	7	by	by	ADP
ap-620	125	8	two	two	NUM
ap-620	125	9	curve	curve	NOUN
ap-620	125	10	bg	bg	PROPN
ap-620	125	11	nodes	node	NOUN
ap-620	125	12	,	,	PUNCT
ap-620	125	13	compute	compute	VERB
ap-620	125	14	the	the	DET
ap-620	125	15	bg	bg	PROPN
ap-620	125	16	midnode	midnode	PROPN
ap-620	125	17	position	position	NOUN
ap-620	125	18	using	use	VERB
ap-620	125	19	the	the	DET
ap-620	125	20	4	4	NUM
ap-620	125	21	-	-	PUNCT
ap-620	125	22	point	point	NOUN
ap-620	125	23	curve	curve	NOUN
ap-620	125	24	averaging	averaging	NOUN
ap-620	125	25	mask	mask	NOUN
ap-620	125	26	,	,	PUNCT
ap-620	125	27	6	6	NUM
ap-620	125	28	.	.	PUNCT
ap-620	126	1	for	for	ADP
ap-620	126	2	every	every	DET
ap-620	126	3	curve	curve	NOUN
ap-620	126	4	bg	bg	PROPN
ap-620	126	5	edge	edge	NOUN
ap-620	126	6	bounded	bound	VERB
ap-620	126	7	by	by	ADP
ap-620	126	8	a	a	DET
ap-620	126	9	curve	curve	NOUN
ap-620	126	10	bg	bg	PROPN
ap-620	126	11	node	node	NOUN
ap-620	126	12	and	and	CCONJ
ap-620	126	13	a	a	DET
ap-620	126	14	vertex	vertex	NOUN
ap-620	126	15	bg	bg	PROPN
ap-620	126	16	node	node	PROPN
ap-620	126	17	,	,	PUNCT
ap-620	126	18	compute	compute	VERB
ap-620	126	19	the	the	DET
ap-620	126	20	bg	bg	PROPN
ap-620	126	21	midnode	midnode	PROPN
ap-620	126	22	position	position	NOUN
ap-620	126	23	using	use	VERB
ap-620	126	24	the	the	DET
ap-620	126	25	3	3	NUM
ap-620	126	26	-	-	PUNCT
ap-620	126	27	point	point	NOUN
ap-620	126	28	curve	curve	NOUN
ap-620	126	29	averaging	averaging	NOUN
ap-620	126	30	mask	mask	NOUN
ap-620	126	31	,	,	PUNCT
ap-620	126	32	7	7	NUM
ap-620	126	33	.	.	X
ap-620	127	1	for	for	ADP
ap-620	127	2	every	every	DET
ap-620	127	3	curve	curve	NOUN
ap-620	127	4	bg	bg	PROPN
ap-620	127	5	edge	edge	NOUN
ap-620	127	6	bounded	bound	VERB
ap-620	127	7	by	by	ADP
ap-620	127	8	two	two	NUM
ap-620	127	9	vertex	vertex	NOUN
ap-620	127	10	bg	bg	PROPN
ap-620	127	11	nodes	node	NOUN
ap-620	127	12	,	,	PUNCT
ap-620	127	13	compute	compute	VERB
ap-620	127	14	the	the	DET
ap-620	127	15	bg	bg	PROPN
ap-620	127	16	midnode	midnode	PROPN
ap-620	127	17	position	position	NOUN
ap-620	127	18	as	as	ADP
ap-620	127	19	the	the	DET
ap-620	127	20	average	average	NOUN
ap-620	127	21	of	of	ADP
ap-620	127	22	the	the	DET
ap-620	127	23	positions	position	NOUN
ap-620	127	24	of	of	ADP
ap-620	127	25	these	these	DET
ap-620	127	26	vertices	vertex	NOUN
ap-620	127	27	.	.	PUNCT
ap-620	128	1	an	an	DET
ap-620	128	2	example	example	NOUN
ap-620	128	3	of	of	ADP
ap-620	128	4	the	the	DET
ap-620	128	5	application	application	NOUN
ap-620	128	6	of	of	ADP
ap-620	128	7	the	the	DET
ap-620	128	8	modified	modify	VERB
ap-620	128	9	butterfly	butterfly	NOUN
ap-620	128	10	scheme	scheme	NOUN
ap-620	128	11	to	to	ADP
ap-620	128	12	a	a	DET
ap-620	128	13	simple	simple	ADJ
ap-620	128	14	domain	domain	NOUN
ap-620	128	15	is	be	AUX
ap-620	128	16	depicted	depict	VERB
ap-620	128	17	in	in	ADP
ap-620	128	18	fig	fig	NOUN
ap-620	128	19	.	.	PUNCT
ap-620	129	1	4	4	X
ap-620	129	2	.	.	X
ap-620	130	1	the	the	DET
ap-620	130	2	control	control	NOUN
ap-620	130	3	grid	grid	NOUN
ap-620	130	4	is	be	AUX
ap-620	130	5	derived	derive	VERB
ap-620	130	6	from	from	ADP
ap-620	130	7	24	24	NUM
ap-620	130	8	triangular	triangular	NOUN
ap-620	130	9	facets	facet	NOUN
ap-620	130	10	covering	cover	VERB
ap-620	130	11	a	a	DET
ap-620	130	12	regular	regular	ADJ
ap-620	130	13	12	12	NUM
ap-620	130	14	-	-	PUNCT
ap-620	130	15	sided	sided	ADJ
ap-620	130	16	polygon	polygon	NOUN
ap-620	130	17	by	by	ADP
ap-620	130	18	shifting	shift	VERB
ap-620	130	19	two	two	NUM
ap-620	130	20	interior	interior	ADJ
ap-620	130	21	nodes	node	NOUN
ap-620	130	22	(	(	PUNCT
ap-620	130	23	opposite	opposite	ADJ
ap-620	130	24	64	64	NUM
ap-620	130	25	©	©	PROPN
ap-620	130	26	czech	czech	PROPN
ap-620	130	27	technical	technical	PROPN
ap-620	130	28	university	university	PROPN
ap-620	130	29	publishing	publishing	NOUN
ap-620	130	30	house	house	NOUN
ap-620	130	31	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-620	130	32	acta	acta	PROPN
ap-620	130	33	polytechnica	polytechnica	PROPN
ap-620	130	34	vol	vol	NOUN
ap-620	130	35	.	.	PROPN
ap-620	131	1	44	44	NUM
ap-620	131	2	no	no	NOUN
ap-620	131	3	.	.	PUNCT
ap-620	132	1	5–6/2004	5–6/2004	NUM
ap-620	132	2	fig	fig	NOUN
ap-620	132	3	.	.	PUNCT
ap-620	133	1	4	4	NUM
ap-620	133	2	:	:	PUNCT
ap-620	133	3	application	application	NOUN
ap-620	133	4	of	of	ADP
ap-620	133	5	the	the	DET
ap-620	133	6	modified	modify	VERB
ap-620	133	7	butterfly	butterfly	NOUN
ap-620	133	8	scheme	scheme	NOUN
ap-620	133	9	to	to	ADP
ap-620	133	10	a	a	DET
ap-620	133	11	simple	simple	ADJ
ap-620	133	12	domain	domain	NOUN
ap-620	133	13	:	:	PUNCT
ap-620	133	14	original	original	ADJ
ap-620	133	15	control	control	NOUN
ap-620	133	16	grid	grid	NOUN
ap-620	133	17	(	(	PUNCT
ap-620	133	18	top	top	NOUN
ap-620	133	19	left	left	ADJ
ap-620	133	20	)	)	PUNCT
ap-620	133	21	,	,	PUNCT
ap-620	133	22	four	four	NUM
ap-620	133	23	refinement	refinement	NOUN
ap-620	133	24	levels	level	NOUN
ap-620	133	25	(	(	PUNCT
ap-620	133	26	top	top	ADJ
ap-620	133	27	right	right	NOUN
ap-620	133	28	,	,	PUNCT
ap-620	133	29	middle	middle	ADJ
ap-620	133	30	row	row	NOUN
ap-620	133	31	,	,	PUNCT
ap-620	133	32	and	and	CCONJ
ap-620	133	33	bottom	bottom	NOUN
ap-620	133	34	left	left	ADJ
ap-620	133	35	)	)	PUNCT
ap-620	133	36	,	,	PUNCT
ap-620	133	37	and	and	CCONJ
ap-620	133	38	the	the	DET
ap-620	133	39	limit	limit	NOUN
ap-620	133	40	surface	surface	NOUN
ap-620	133	41	(	(	PUNCT
ap-620	133	42	bottom	bottom	ADJ
ap-620	133	43	right	right	NOUN
ap-620	133	44	)	)	PUNCT
ap-620	133	45	with	with	ADP
ap-620	133	46	respect	respect	NOUN
ap-620	133	47	to	to	ADP
ap-620	133	48	the	the	DET
ap-620	133	49	polygon	polygon	NOUN
ap-620	133	50	center	center	NOUN
ap-620	133	51	)	)	PUNCT
ap-620	133	52	out	out	ADP
ap-620	133	53	of	of	ADP
ap-620	133	54	the	the	DET
ap-620	133	55	plane	plane	NOUN
ap-620	133	56	of	of	ADP
ap-620	133	57	the	the	DET
ap-620	133	58	polygon	polygon	NOUN
ap-620	133	59	(	(	PUNCT
ap-620	133	60	each	each	DET
ap-620	133	61	one	one	NUM
ap-620	133	62	in	in	ADP
ap-620	133	63	the	the	DET
ap-620	133	64	other	other	ADJ
ap-620	133	65	direction	direction	NOUN
ap-620	133	66	)	)	PUNCT
ap-620	133	67	.	.	PUNCT
ap-620	134	1	the	the	DET
ap-620	134	2	properties	property	NOUN
ap-620	134	3	of	of	ADP
ap-620	134	4	the	the	DET
ap-620	134	5	limit	limit	NOUN
ap-620	134	6	surface	surface	NOUN
ap-620	134	7	(	(	PUNCT
ap-620	134	8	and	and	CCONJ
ap-620	134	9	also	also	ADV
ap-620	134	10	the	the	DET
ap-620	134	11	curve	curve	NOUN
ap-620	134	12	)	)	PUNCT
ap-620	134	13	can	can	AUX
ap-620	134	14	been	be	AUX
ap-620	134	15	deduced	deduce	VERB
ap-620	134	16	by	by	ADP
ap-620	134	17	a	a	DET
ap-620	134	18	standard	standard	ADJ
ap-620	134	19	examination	examination	NOUN
ap-620	134	20	of	of	ADP
ap-620	134	21	the	the	DET
ap-620	134	22	eigenstructure	eigenstructure	NOUN
ap-620	134	23	of	of	ADP
ap-620	134	24	the	the	DET
ap-620	134	25	local	local	ADJ
ap-620	134	26	subdivision	subdivision	NOUN
ap-620	134	27	matrix	matrix	NOUN
ap-620	134	28	corresponding	correspond	VERB
ap-620	134	29	to	to	ADP
ap-620	134	30	the	the	DET
ap-620	134	31	adopted	adopt	VERB
ap-620	134	32	subdivision	subdivision	NOUN
ap-620	134	33	scheme	scheme	NOUN
ap-620	134	34	[	[	X
ap-620	134	35	4	4	NUM
ap-620	134	36	]	]	PUNCT
ap-620	134	37	.	.	PUNCT
ap-620	135	1	this	this	PRON
ap-620	135	2	includes	include	VERB
ap-620	135	3	especially	especially	ADV
ap-620	135	4	the	the	DET
ap-620	135	5	derivation	derivation	NOUN
ap-620	135	6	of	of	ADP
ap-620	135	7	the	the	DET
ap-620	135	8	so	so	ADV
ap-620	135	9	called	call	VERB
ap-620	135	10	derivative	derivative	ADJ
ap-620	135	11	masks	mask	NOUN
ap-620	135	12	used	use	VERB
ap-620	135	13	for	for	ADP
ap-620	135	14	the	the	DET
ap-620	135	15	calculation	calculation	NOUN
ap-620	135	16	of	of	ADP
ap-620	135	17	vectors	vector	NOUN
ap-620	135	18	tangent	tangent	NOUN
ap-620	135	19	to	to	ADP
ap-620	135	20	the	the	DET
ap-620	135	21	limit	limit	NOUN
ap-620	135	22	surface	surface	NOUN
ap-620	135	23	at	at	ADP
ap-620	135	24	the	the	DET
ap-620	135	25	limit	limit	NOUN
ap-620	135	26	position	position	NOUN
ap-620	135	27	of	of	ADP
ap-620	135	28	a	a	DET
ap-620	135	29	bg	bg	NOUN
ap-620	135	30	node	node	NOUN
ap-620	135	31	of	of	ADP
ap-620	135	32	the	the	DET
ap-620	135	33	control	control	NOUN
ap-620	135	34	grid	grid	NOUN
ap-620	135	35	.	.	PUNCT
ap-620	136	1	these	these	DET
ap-620	136	2	tangent	tangent	ADJ
ap-620	136	3	vectors	vector	NOUN
ap-620	136	4	are	be	AUX
ap-620	136	5	then	then	ADV
ap-620	136	6	in	in	ADP
ap-620	136	7	turn	turn	NOUN
ap-620	136	8	used	use	VERB
ap-620	136	9	for	for	ADP
ap-620	136	10	evaluating	evaluate	VERB
ap-620	136	11	the	the	DET
ap-620	136	12	limit	limit	NOUN
ap-620	136	13	surface	surface	NOUN
ap-620	136	14	normal	normal	ADJ
ap-620	136	15	.	.	PUNCT
ap-620	137	1	an	an	DET
ap-620	137	2	important	important	ADJ
ap-620	137	3	aspect	aspect	NOUN
ap-620	137	4	is	be	AUX
ap-620	137	5	that	that	SCONJ
ap-620	137	6	the	the	DET
ap-620	137	7	above	above	ADP
ap-620	137	8	seven	seven	NUM
ap-620	137	9	rules	rule	NOUN
ap-620	137	10	for	for	ADP
ap-620	137	11	evaluating	evaluating	NOUN
ap-620	137	12	of	of	ADP
ap-620	137	13	the	the	DET
ap-620	137	14	limit	limit	NOUN
ap-620	137	15	position	position	NOUN
ap-620	137	16	of	of	ADP
ap-620	137	17	new	new	ADJ
ap-620	137	18	bg	bg	PROPN
ap-620	137	19	nodes	node	NOUN
ap-620	137	20	were	be	AUX
ap-620	137	21	derived	derive	VERB
ap-620	137	22	for	for	ADP
ap-620	137	23	more	more	ADJ
ap-620	137	24	or	or	CCONJ
ap-620	137	25	less	less	ADJ
ap-620	137	26	isotropic	isotropic	ADJ
ap-620	137	27	control	control	NOUN
ap-620	137	28	grids	grid	NOUN
ap-620	137	29	,	,	PUNCT
ap-620	137	30	i.e.	i.e.	X
ap-620	137	31	,	,	PUNCT
ap-620	137	32	for	for	ADP
ap-620	137	33	control	control	NOUN
ap-620	137	34	grids	grid	NOUN
ap-620	137	35	with	with	ADP
ap-620	137	36	elements	element	NOUN
ap-620	137	37	of	of	ADP
ap-620	137	38	approximately	approximately	ADV
ap-620	137	39	unit	unit	NOUN
ap-620	137	40	aspect	aspect	NOUN
ap-620	137	41	ratio	ratio	NOUN
ap-620	137	42	.	.	PUNCT
ap-620	138	1	however	however	ADV
ap-620	138	2	,	,	PUNCT
ap-620	138	3	stl	stl	PROPN
ap-620	138	4	meshes	mesh	NOUN
ap-620	138	5	typically	typically	ADV
ap-620	138	6	consist	consist	VERB
ap-620	138	7	of	of	ADP
ap-620	138	8	elements	element	NOUN
ap-620	138	9	of	of	ADP
ap-620	138	10	very	very	ADV
ap-620	138	11	large	large	ADJ
ap-620	138	12	aspect	aspect	NOUN
ap-620	138	13	ratio	ratio	NOUN
ap-620	138	14	,	,	PUNCT
ap-620	138	15	which	which	PRON
ap-620	138	16	is	be	AUX
ap-620	138	17	the	the	DET
ap-620	138	18	consequence	consequence	NOUN
ap-620	138	19	of	of	ADP
ap-620	138	20	the	the	DET
ap-620	138	21	curvature	curvature	NOUN
ap-620	138	22	based	base	VERB
ap-620	138	23	tessellation	tessellation	NOUN
ap-620	138	24	procedure	procedure	NOUN
ap-620	138	25	used	use	VERB
ap-620	138	26	to	to	PART
ap-620	138	27	generate	generate	VERB
ap-620	138	28	them	they	PRON
ap-620	138	29	.	.	PUNCT
ap-620	139	1	in	in	ADP
ap-620	139	2	this	this	DET
ap-620	139	3	context	context	NOUN
ap-620	139	4	,	,	PUNCT
ap-620	139	5	the	the	DET
ap-620	139	6	4th	4th	ADJ
ap-620	139	7	rule	rule	NOUN
ap-620	139	8	for	for	ADP
ap-620	139	9	the	the	DET
ap-620	139	10	subdivision	subdivision	NOUN
ap-620	139	11	of	of	ADP
ap-620	139	12	a	a	DET
ap-620	139	13	surface	surface	NOUN
ap-620	139	14	bg	bg	PROPN
ap-620	139	15	edge	edge	NOUN
ap-620	139	16	bounded	bound	VERB
ap-620	139	17	by	by	ADP
ap-620	139	18	non	non	ADJ
ap-620	139	19	-	-	ADJ
ap-620	139	20	surface	surface	ADJ
ap-620	139	21	bg	bg	PROPN
ap-620	139	22	nodes	node	NOUN
ap-620	139	23	was	be	AUX
ap-620	139	24	found	find	VERB
ap-620	139	25	too	too	ADV
ap-620	139	26	restrictive	restrictive	ADJ
ap-620	139	27	(	(	PUNCT
ap-620	139	28	rigid	rigid	ADJ
ap-620	139	29	)	)	PUNCT
ap-620	139	30	and	and	CCONJ
ap-620	139	31	was	be	AUX
ap-620	139	32	replaced	replace	VERB
ap-620	139	33	by	by	ADP
ap-620	139	34	the	the	DET
ap-620	139	35	following	follow	VERB
ap-620	139	36	rule	rule	NOUN
ap-620	139	37	:	:	PUNCT
ap-620	139	38	4	4	X
ap-620	139	39	.	.	X
ap-620	140	1	for	for	ADP
ap-620	140	2	every	every	DET
ap-620	140	3	surface	surface	NOUN
ap-620	140	4	bg	bg	PROPN
ap-620	140	5	edge	edge	NOUN
ap-620	140	6	bounded	bound	VERB
ap-620	140	7	by	by	ADP
ap-620	140	8	two	two	NUM
ap-620	140	9	non	non	ADJ
ap-620	140	10	-	-	ADJ
ap-620	140	11	surface	surface	ADJ
ap-620	140	12	bg	bg	NOUN
ap-620	140	13	nodes	node	NOUN
ap-620	140	14	,	,	PUNCT
ap-620	140	15	find	find	VERB
ap-620	140	16	the	the	DET
ap-620	140	17	off	off	ADV
ap-620	140	18	-	-	PUNCT
ap-620	140	19	diagonal	diagonal	ADJ
ap-620	140	20	bg	bg	NOUN
ap-620	140	21	nodes	node	NOUN
ap-620	140	22	of	of	ADP
ap-620	140	23	the	the	DET
ap-620	140	24	quadrilateral	quadrilateral	NOUN
ap-620	140	25	formed	form	VERB
ap-620	140	26	by	by	ADP
ap-620	140	27	two	two	NUM
ap-620	140	28	bg	bg	PROPN
ap-620	140	29	faces	face	NOUN
ap-620	140	30	sharing	share	VERB
ap-620	140	31	that	that	SCONJ
ap-620	140	32	bg	bg	PROPN
ap-620	140	33	edge	edge	NOUN
ap-620	140	34	and	and	CCONJ
ap-620	140	35	compute	compute	VERB
ap-620	140	36	the	the	DET
ap-620	140	37	bg	bg	PROPN
ap-620	140	38	midnode	midnode	PROPN
ap-620	140	39	position	position	NOUN
ap-620	140	40	(	(	PUNCT
ap-620	140	41	a	a	NOUN
ap-620	140	42	)	)	PUNCT
ap-620	140	43	according	accord	VERB
ap-620	140	44	to	to	ADP
ap-620	140	45	appropriate	appropriate	ADJ
ap-620	140	46	from	from	ADP
ap-620	140	47	rules	rule	NOUN
ap-620	140	48	1	1	NUM
ap-620	140	49	3	3	NUM
ap-620	140	50	using	use	VERB
ap-620	140	51	the	the	DET
ap-620	140	52	temporarily	temporarily	ADV
ap-620	140	53	swapped	swap	VERB
ap-620	140	54	bg	bg	PROPN
ap-620	140	55	edge	edge	NOUN
ap-620	140	56	,	,	PUNCT
ap-620	140	57	if	if	SCONJ
ap-620	140	58	any	any	PRON
ap-620	140	59	of	of	ADP
ap-620	140	60	the	the	DET
ap-620	140	61	off	off	ADV
ap-620	140	62	-	-	PUNCT
ap-620	140	63	diagonal	diagonal	ADJ
ap-620	140	64	bg	bg	PROPN
ap-620	140	65	nodes	node	NOUN
ap-620	140	66	is	be	AUX
ap-620	140	67	a	a	DET
ap-620	140	68	surface	surface	NOUN
ap-620	140	69	bg	bg	NOUN
ap-620	140	70	node	node	NOUN
ap-620	140	71	,	,	PUNCT
ap-620	140	72	(	(	PUNCT
ap-620	140	73	b	b	X
ap-620	140	74	)	)	PUNCT
ap-620	140	75	as	as	ADP
ap-620	140	76	the	the	DET
ap-620	140	77	weighted	weighted	ADJ
ap-620	140	78	average	average	NOUN
ap-620	140	79	of	of	ADP
ap-620	140	80	positions	position	NOUN
ap-620	140	81	calculated	calculate	VERB
ap-620	140	82	according	accord	VERB
ap-620	140	83	to	to	PART
ap-620	140	84	rule	rule	VERB
ap-620	140	85	4	4	NUM
ap-620	140	86	for	for	ADP
ap-620	140	87	the	the	DET
ap-620	140	88	original	original	ADJ
ap-620	140	89	(	(	PUNCT
ap-620	140	90	weight	weight	NOUN
ap-620	140	91	0.75	0.75	NUM
ap-620	140	92	)	)	PUNCT
ap-620	140	93	and	and	CCONJ
ap-620	140	94	temporarily	temporarily	ADV
ap-620	140	95	swapped	swap	VERB
ap-620	140	96	bg	bg	NOUN
ap-620	140	97	edge	edge	NOUN
ap-620	140	98	(	(	PUNCT
ap-620	140	99	weight	weight	NOUN
ap-620	140	100	0.25	0.25	NUM
ap-620	140	101	)	)	PUNCT
ap-620	140	102	,	,	PUNCT
ap-620	140	103	if	if	SCONJ
ap-620	140	104	both	both	DET
ap-620	140	105	off	off	ADP
ap-620	140	106	-	-	PUNCT
ap-620	140	107	diagonal	diagonal	ADJ
ap-620	140	108	nodes	node	NOUN
ap-620	140	109	are	be	AUX
ap-620	140	110	non	non	ADJ
ap-620	140	111	-	-	ADJ
ap-620	140	112	surface	surface	ADJ
ap-620	140	113	bg	bg	NOUN
ap-620	140	114	nodes	node	NOUN
ap-620	140	115	.	.	PUNCT
ap-620	141	1	it	it	PRON
ap-620	141	2	should	should	AUX
ap-620	141	3	be	be	AUX
ap-620	141	4	emphasized	emphasize	VERB
ap-620	141	5	that	that	SCONJ
ap-620	141	6	the	the	DET
ap-620	141	7	topological	topological	ADJ
ap-620	141	8	change	change	NOUN
ap-620	141	9	to	to	ADP
ap-620	141	10	the	the	DET
ap-620	141	11	stl	stl	PROPN
ap-620	141	12	mesh	mesh	NOUN
ap-620	141	13	by	by	ADP
ap-620	141	14	swapping	swap	VERB
ap-620	141	15	the	the	DET
ap-620	141	16	bg	bg	PROPN
ap-620	141	17	edge	edge	NOUN
ap-620	141	18	should	should	AUX
ap-620	141	19	be	be	AUX
ap-620	141	20	of	of	ADP
ap-620	141	21	temporary	temporary	ADJ
ap-620	141	22	character	character	NOUN
ap-620	141	23	only	only	ADV
ap-620	141	24	(	(	PUNCT
ap-620	141	25	just	just	ADV
ap-620	141	26	for	for	ADP
ap-620	141	27	the	the	DET
ap-620	141	28	evaluation	evaluation	NOUN
ap-620	141	29	of	of	ADP
ap-620	141	30	the	the	DET
ap-620	141	31	position	position	NOUN
ap-620	141	32	of	of	ADP
ap-620	141	33	the	the	DET
ap-620	141	34	corresponding	corresponding	ADJ
ap-620	141	35	bg	bg	PROPN
ap-620	141	36	midnode	midnode	NOUN
ap-620	141	37	)	)	PUNCT
ap-620	141	38	.	.	PUNCT
ap-620	142	1	otherwise	otherwise	ADV
ap-620	142	2	the	the	DET
ap-620	142	3	change	change	NOUN
ap-620	142	4	of	of	ADP
ap-620	142	5	connectivity	connectivity	NOUN
ap-620	142	6	(	(	PUNCT
ap-620	142	7	in	in	ADP
ap-620	142	8	the	the	DET
ap-620	142	9	case	case	NOUN
ap-620	142	10	of	of	ADP
ap-620	142	11	stl	stl	PROPN
ap-620	142	12	meshes	mesh	VERB
ap-620	142	13	often	often	ADV
ap-620	142	14	regular	regular	ADV
ap-620	142	15	)	)	PUNCT
ap-620	142	16	induced	induce	VERB
ap-620	142	17	by	by	ADP
ap-620	142	18	the	the	DET
ap-620	142	19	swapping	swapping	NOUN
ap-620	142	20	may	may	AUX
ap-620	142	21	seriously	seriously	ADV
ap-620	142	22	deteriorate	deteriorate	VERB
ap-620	142	23	the	the	DET
ap-620	142	24	quality	quality	NOUN
ap-620	142	25	of	of	ADP
ap-620	142	26	the	the	DET
ap-620	142	27	recovered	recover	VERB
ap-620	142	28	limit	limit	NOUN
ap-620	142	29	surface	surface	NOUN
ap-620	142	30	.	.	PUNCT
ap-620	143	1	5	5	NUM
ap-620	143	2	mesh	mesh	NOUN
ap-620	143	3	generation	generation	NOUN
ap-620	143	4	having	have	VERB
ap-620	143	5	obtainedthe	obtainedthe	DET
ap-620	143	6	limit	limit	NOUN
ap-620	143	7	surface	surface	NOUN
ap-620	143	8	,	,	PUNCT
ap-620	143	9	the	the	DET
ap-620	143	10	goal	goal	NOUN
ap-620	143	11	is	be	AUX
ap-620	143	12	now	now	ADV
ap-620	143	13	to	to	PART
ap-620	143	14	generate	generate	VERB
ap-620	143	15	a	a	DET
ap-620	143	16	new	new	ADJ
ap-620	143	17	triangular	triangular	NOUN
ap-620	143	18	mesh	mesh	NOUN
ap-620	143	19	over	over	ADP
ap-620	143	20	it	it	PRON
ap-620	143	21	,	,	PUNCT
ap-620	143	22	respecting	respect	VERB
ap-620	143	23	a	a	DET
ap-620	143	24	given	give	VERB
ap-620	143	25	mesh	mesh	NOUN
ap-620	143	26	density	density	NOUN
ap-620	143	27	distribution	distribution	NOUN
ap-620	143	28	(	(	PUNCT
ap-620	143	29	typically	typically	ADV
ap-620	143	30	prescribed	prescribe	VERB
ap-620	143	31	at	at	ADP
ap-620	143	32	the	the	DET
ap-620	143	33	nodes	node	NOUN
ap-620	143	34	of	of	ADP
ap-620	143	35	the	the	DET
ap-620	143	36	stl	stl	PROPN
ap-620	143	37	mesh	mesh	NOUN
ap-620	143	38	serving	serve	VERB
ap-620	143	39	as	as	ADP
ap-620	143	40	the	the	DET
ap-620	143	41	control	control	NOUN
ap-620	143	42	grid	grid	NOUN
ap-620	143	43	and/or	and/or	CCONJ
ap-620	143	44	curvature	curvature	NOUN
ap-620	143	45	based	base	VERB
ap-620	143	46	)	)	PUNCT
ap-620	143	47	that	that	PRON
ap-620	143	48	makes	make	VERB
ap-620	143	49	the	the	DET
ap-620	143	50	mesh	mesh	NOUN
ap-620	143	51	suitable	suitable	ADJ
ap-620	143	52	for	for	ADP
ap-620	143	53	subsequent	subsequent	ADJ
ap-620	143	54	computational	computational	ADJ
ap-620	143	55	analysis	analysis	NOUN
ap-620	143	56	.	.	PUNCT
ap-620	144	1	the	the	DET
ap-620	144	2	discretization	discretization	NOUN
ap-620	144	3	is	be	AUX
ap-620	144	4	carried	carry	VERB
ap-620	144	5	out	out	ADP
ap-620	144	6	in	in	ADP
ap-620	144	7	a	a	DET
ap-620	144	8	hierarchical	hierarchical	ADJ
ap-620	144	9	manner	manner	NOUN
ap-620	144	10	.	.	PUNCT
ap-620	145	1	firstly	firstly	ADV
ap-620	145	2	,	,	PUNCT
ap-620	145	3	the	the	DET
ap-620	145	4	model	model	NOUN
ap-620	145	5	vertices	vertex	NOUN
ap-620	145	6	are	be	AUX
ap-620	145	7	discretized	discretize	VERB
ap-620	145	8	.	.	PUNCT
ap-620	146	1	then	then	ADV
ap-620	146	2	the	the	DET
ap-620	146	3	(	(	PUNCT
ap-620	146	4	limit	limit	NOUN
ap-620	146	5	)	)	PUNCT
ap-620	146	6	curves	curve	NOUN
ap-620	146	7	are	be	AUX
ap-620	146	8	segmented	segment	VERB
ap-620	146	9	using	use	VERB
ap-620	146	10	the	the	DET
ap-620	146	11	mass	mass	ADJ
ap-620	146	12	curve	curve	NOUN
ap-620	146	13	of	of	ADP
ap-620	146	14	the	the	DET
ap-620	146	15	required	require	VERB
ap-620	146	16	element	element	NOUN
ap-620	146	17	density	density	NOUN
ap-620	146	18	along	along	ADP
ap-620	146	19	that	that	DET
ap-620	146	20	curve	curve	NOUN
ap-620	146	21	.	.	PUNCT
ap-620	147	1	and	and	CCONJ
ap-620	147	2	finally	finally	ADV
ap-620	147	3	,	,	PUNCT
ap-620	147	4	the	the	DET
ap-620	147	5	individual	individual	ADJ
ap-620	147	6	(	(	PUNCT
ap-620	147	7	limit	limit	NOUN
ap-620	147	8	)	)	PUNCT
ap-620	147	9	surfaces	surface	NOUN
ap-620	147	10	are	be	AUX
ap-620	147	11	triangulated	triangulate	VERB
ap-620	147	12	.	.	PUNCT
ap-620	148	1	in	in	ADP
ap-620	148	2	order	order	NOUN
ap-620	148	3	to	to	PART
ap-620	148	4	control	control	VERB
ap-620	148	5	the	the	DET
ap-620	148	6	element	element	ADJ
ap-620	148	7	size	size	NOUN
ap-620	148	8	distribution	distribution	NOUN
ap-620	148	9	,	,	PUNCT
ap-620	148	10	an	an	DET
ap-620	148	11	octree	octree	NOUN
ap-620	148	12	is	be	AUX
ap-620	148	13	built	build	VERB
ap-620	148	14	around	around	ADP
ap-620	148	15	the	the	DET
ap-620	148	16	domain	domain	NOUN
ap-620	148	17	to	to	PART
ap-620	148	18	be	be	AUX
ap-620	148	19	discretized	discretize	VERB
ap-620	148	20	.	.	PUNCT
ap-620	149	1	the	the	DET
ap-620	149	2	size	size	NOUN
ap-620	149	3	of	of	ADP
ap-620	149	4	the	the	DET
ap-620	149	5	individual	individual	ADJ
ap-620	149	6	octants	octant	NOUN
ap-620	149	7	corresponds	correspond	VERB
ap-620	149	8	approximately	approximately	ADV
ap-620	149	9	to	to	ADP
ap-620	149	10	the	the	DET
ap-620	149	11	required	require	VERB
ap-620	149	12	element	element	NOUN
ap-620	149	13	spacing	spacing	NOUN
ap-620	149	14	,	,	PUNCT
ap-620	149	15	while	while	SCONJ
ap-620	149	16	the	the	DET
ap-620	149	17	nodes	node	NOUN
ap-620	149	18	(	(	PUNCT
ap-620	149	19	corners	corner	NOUN
ap-620	149	20	)	)	PUNCT
ap-620	149	21	of	of	ADP
ap-620	149	22	the	the	DET
ap-620	149	23	octants	octant	NOUN
ap-620	149	24	are	be	AUX
ap-620	149	25	storing	store	VERB
ap-620	149	26	the	the	DET
ap-620	149	27	required	require	VERB
ap-620	149	28	spacing	spacing	NOUN
ap-620	149	29	exactly	exactly	ADV
ap-620	149	30	.	.	PUNCT
ap-620	150	1	to	to	PART
ap-620	150	2	ensure	ensure	VERB
ap-620	150	3	the	the	DET
ap-620	150	4	gradual	gradual	ADJ
ap-620	150	5	variation	variation	NOUN
ap-620	150	6	of	of	ADP
ap-620	150	7	the	the	DET
ap-620	150	8	element	element	NOUN
ap-620	150	9	size	size	NOUN
ap-620	150	10	,	,	PUNCT
ap-620	150	11	the	the	DET
ap-620	150	12	maximum	maximum	ADJ
ap-620	150	13	one	one	NUM
ap-620	150	14	-	-	PUNCT
ap-620	150	15	level	level	NOUN
ap-620	150	16	octree	octree	NOUN
ap-620	150	17	difference	difference	NOUN
ap-620	150	18	of	of	ADP
ap-620	150	19	octants	octant	NOUN
ap-620	150	20	sharing	share	VERB
ap-620	150	21	an	an	DET
ap-620	150	22	edge	edge	NOUN
ap-620	150	23	is	be	AUX
ap-620	150	24	enforced	enforce	VERB
ap-620	150	25	.	.	PUNCT
ap-620	151	1	this	this	PRON
ap-620	151	2	will	will	AUX
ap-620	151	3	guarantee	guarantee	VERB
ap-620	151	4	the	the	DET
ap-620	151	5	creation	creation	NOUN
ap-620	151	6	of	of	ADP
ap-620	151	7	well	well	ADV
ap-620	151	8	shaped	shape	VERB
ap-620	151	9	triangles	triangle	NOUN
ap-620	151	10	.	.	PUNCT
ap-620	152	1	during	during	ADP
ap-620	152	2	the	the	DET
ap-620	152	3	actual	actual	ADJ
ap-620	152	4	mesh	mesh	NOUN
ap-620	152	5	generation	generation	NOUN
ap-620	152	6	the	the	DET
ap-620	152	7	required	require	VERB
ap-620	152	8	element	element	NOUN
ap-620	152	9	size	size	NOUN
ap-620	152	10	is	be	AUX
ap-620	152	11	extracted	extract	VERB
ap-620	152	12	from	from	ADP
ap-620	152	13	the	the	DET
ap-620	152	14	octree	octree	NOUN
ap-620	152	15	for	for	ADP
ap-620	152	16	a	a	DET
ap-620	152	17	given	give	VERB
ap-620	152	18	location	location	NOUN
ap-620	152	19	using	use	VERB
ap-620	152	20	the	the	DET
ap-620	152	21	interpolation	interpolation	NOUN
ap-620	152	22	of	of	ADP
ap-620	152	23	octree	octree	NOUN
ap-620	152	24	nodal	nodal	NOUN
ap-620	152	25	values	value	NOUN
ap-620	152	26	of	of	ADP
ap-620	152	27	the	the	DET
ap-620	152	28	element	element	NOUN
ap-620	152	29	size	size	NOUN
ap-620	152	30	.	.	PUNCT
ap-620	153	1	in	in	ADP
ap-620	153	2	the	the	DET
ap-620	153	3	presented	present	VERB
ap-620	153	4	implementation	implementation	NOUN
ap-620	153	5	,	,	PUNCT
ap-620	153	6	the	the	DET
ap-620	153	7	surfaces	surface	NOUN
ap-620	153	8	are	be	AUX
ap-620	153	9	discretized	discretize	VERB
ap-620	153	10	by	by	ADP
ap-620	153	11	the	the	DET
ap-620	153	12	advancing	advance	VERB
ap-620	153	13	front	front	ADJ
ap-620	153	14	technique	technique	NOUN
ap-620	153	15	constrained	constrain	VERB
ap-620	153	16	directly	directly	ADV
ap-620	153	17	to	to	ADP
ap-620	153	18	the	the	DET
ap-620	153	19	surface	surface	NOUN
ap-620	153	20	and	and	CCONJ
ap-620	153	21	modified	modify	VERB
ap-620	153	22	to	to	PART
ap-620	153	23	reflect	reflect	VERB
ap-620	153	24	surface	surface	NOUN
ap-620	153	25	curvature	curvature	NOUN
ap-620	153	26	[	[	X
ap-620	153	27	5	5	NUM
ap-620	153	28	]	]	PUNCT
ap-620	153	29	.	.	PUNCT
ap-620	154	1	firstly	firstly	ADV
ap-620	154	2	,	,	PUNCT
ap-620	154	3	the	the	DET
ap-620	154	4	initial	initial	ADJ
ap-620	154	5	front	front	NOUN
ap-620	154	6	consisting	consist	VERB
ap-620	154	7	of	of	ADP
ap-620	154	8	mesh	mesh	NOUN
ap-620	154	9	edges	edge	NOUN
ap-620	154	10	at	at	ADP
ap-620	154	11	boundary	boundary	ADJ
ap-620	154	12	curves	curve	NOUN
ap-620	154	13	of	of	ADP
ap-620	154	14	the	the	DET
ap-620	154	15	surface	surface	NOUN
ap-620	154	16	(	(	PUNCT
ap-620	154	17	including	include	VERB
ap-620	154	18	inner	inner	ADJ
ap-620	154	19	loops	loop	NOUN
ap-620	154	20	)	)	PUNCT
ap-620	154	21	is	be	AUX
ap-620	154	22	established	establish	VERB
ap-620	154	23	.	.	PUNCT
ap-620	155	1	once	once	SCONJ
ap-620	155	2	the	the	DET
ap-620	155	3	initial	initial	ADJ
ap-620	155	4	front	front	NOUN
ap-620	155	5	has	have	AUX
ap-620	155	6	been	be	AUX
ap-620	155	7	set	set	VERB
ap-620	155	8	up	up	ADP
ap-620	155	9	,	,	PUNCT
ap-620	155	10	mesh	mesh	NOUN
ap-620	155	11	generation	generation	NOUN
ap-620	155	12	continues	continue	VERB
ap-620	155	13	on	on	ADP
ap-620	155	14	the	the	DET
ap-620	155	15	basis	basis	NOUN
ap-620	155	16	of	of	ADP
ap-620	155	17	an	an	DET
ap-620	155	18	edge	edge	NOUN
ap-620	155	19	removal	removal	NOUN
ap-620	155	20	algorithm	algorithm	NOUN
ap-620	155	21	according	accord	VERB
ap-620	155	22	to	to	ADP
ap-620	155	23	the	the	DET
ap-620	155	24	following	follow	VERB
ap-620	155	25	steps	step	NOUN
ap-620	155	26	until	until	SCONJ
ap-620	155	27	the	the	DET
ap-620	155	28	front	front	NOUN
ap-620	155	29	becomes	become	VERB
ap-620	155	30	empty	empty	ADJ
ap-620	155	31	:	:	PUNCT
ap-620	155	32	�	�	PROPN
ap-620	155	33	the	the	DET
ap-620	155	34	first	first	ADJ
ap-620	155	35	available	available	ADJ
ap-620	155	36	edge	edge	NOUN
ap-620	155	37	ab	ab	PROPN
ap-620	155	38	is	be	AUX
ap-620	155	39	selected	select	VERB
ap-620	155	40	from	from	ADP
ap-620	155	41	the	the	DET
ap-620	155	42	front	front	NOUN
ap-620	155	43	,	,	PUNCT
ap-620	155	44	�	�	PROPN
ap-620	155	45	the	the	DET
ap-620	155	46	position	position	NOUN
ap-620	155	47	of	of	ADP
ap-620	155	48	the	the	DET
ap-620	155	49	“	"	PUNCT
ap-620	155	50	ideal	ideal	ADJ
ap-620	155	51	”	"	PUNCT
ap-620	155	52	point	point	NOUN
ap-620	155	53	p	p	NOUN
ap-620	155	54	(	(	PUNCT
ap-620	155	55	forming	form	VERB
ap-620	155	56	the	the	DET
ap-620	155	57	new	new	ADJ
ap-620	155	58	�	�	PROPN
ap-620	155	59	abc	abc	PROPN
ap-620	155	60	)	)	PUNCT
ap-620	155	61	is	be	AUX
ap-620	155	62	calculated	calculate	VERB
ap-620	155	63	taking	take	VERB
ap-620	155	64	into	into	ADP
ap-620	155	65	account	account	NOUN
ap-620	155	66	the	the	DET
ap-620	155	67	local	local	ADJ
ap-620	155	68	curvature	curvature	NOUN
ap-620	155	69	of	of	ADP
ap-620	155	70	the	the	DET
ap-620	155	71	limit	limit	NOUN
ap-620	155	72	surface	surface	NOUN
ap-620	155	73	and	and	CCONJ
ap-620	155	74	element	element	NOUN
ap-620	155	75	size	size	NOUN
ap-620	155	76	variation	variation	NOUN
ap-620	155	77	,	,	PUNCT
ap-620	155	78	�	�	PROPN
ap-620	155	79	the	the	DET
ap-620	155	80	projection	projection	PROPN
ap-620	155	81	�	�	PROPN
ap-620	155	82	p	p	NOUN
ap-620	155	83	of	of	ADP
ap-620	155	84	point	point	NOUN
ap-620	155	85	p	p	NOUN
ap-620	155	86	to	to	ADP
ap-620	155	87	the	the	DET
ap-620	155	88	limit	limit	NOUN
ap-620	155	89	surface	surface	NOUN
ap-620	155	90	is	be	AUX
ap-620	155	91	evaluated	evaluate	VERB
ap-620	155	92	,	,	PUNCT
ap-620	155	93	�	�	PROPN
ap-620	155	94	the	the	DET
ap-620	155	95	local	local	ADJ
ap-620	155	96	neighbourhood	neighbourhood	NOUN
ap-620	155	97	of	of	ADP
ap-620	155	98	point	point	NOUN
ap-620	155	99	�	�	PROPN
ap-620	155	100	p	p	NOUN
ap-620	155	101	is	be	AUX
ap-620	155	102	established	establish	VERB
ap-620	155	103	(	(	PUNCT
ap-620	155	104	in	in	ADP
ap-620	155	105	terms	term	NOUN
ap-620	155	106	of	of	ADP
ap-620	155	107	a	a	DET
ap-620	155	108	set	set	NOUN
ap-620	155	109	of	of	ADP
ap-620	155	110	octants	octant	NOUN
ap-620	155	111	)	)	PUNCT
ap-620	155	112	,	,	PUNCT
ap-620	155	113	�	�	PROPN
ap-620	155	114	the	the	DET
ap-620	155	115	neighbourhood	neighbourhood	NOUN
ap-620	155	116	is	be	AUX
ap-620	155	117	searched	search	VERB
ap-620	155	118	for	for	ADP
ap-620	155	119	the	the	DET
ap-620	155	120	most	most	ADV
ap-620	155	121	suitable	suitable	ADJ
ap-620	155	122	candidate	candidate	NOUN
ap-620	155	123	c	c	NOUN
ap-620	155	124	to	to	PART
ap-620	155	125	form	form	VERB
ap-620	155	126	a	a	DET
ap-620	155	127	new	new	ADJ
ap-620	155	128	�	�	PROPN
ap-620	155	129	abc	abc	PROPN
ap-620	155	130	,	,	PUNCT
ap-620	155	131	�	�	PROPN
ap-620	155	132	the	the	DET
ap-620	155	133	intersection	intersection	NOUN
ap-620	155	134	check	check	NOUN
ap-620	155	135	is	be	AUX
ap-620	155	136	carried	carry	VERB
ap-620	155	137	out	out	ADP
ap-620	155	138	to	to	PART
ap-620	155	139	avoid	avoid	VERB
ap-620	155	140	overlapping	overlap	VERB
ap-620	155	141	of	of	ADP
ap-620	155	142	the	the	DET
ap-620	155	143	candidate	candidate	NOUN
ap-620	155	144	triangle	triangle	NOUN
ap-620	155	145	with	with	ADP
ap-620	155	146	an	an	DET
ap-620	155	147	already	already	ADV
ap-620	155	148	existing	exist	VERB
ap-620	155	149	one	one	NUM
ap-620	155	150	in	in	ADP
ap-620	155	151	the	the	DET
ap-620	155	152	neighbourhood	neighbourhood	NOUN
ap-620	155	153	,	,	PUNCT
ap-620	155	154	�	�	PROPN
ap-620	155	155	the	the	DET
ap-620	155	156	front	front	NOUN
ap-620	155	157	is	be	AUX
ap-620	155	158	updated	update	VERB
ap-620	155	159	to	to	PART
ap-620	155	160	account	account	VERB
ap-620	155	161	for	for	ADP
ap-620	155	162	the	the	DET
ap-620	155	163	newly	newly	ADV
ap-620	155	164	formed	form	VERB
ap-620	155	165	�	�	PROPN
ap-620	155	166	abc	abc	PROPN
ap-620	155	167	.	.	PUNCT
ap-620	156	1	the	the	DET
ap-620	156	2	generated	generate	VERB
ap-620	156	3	mesh	mesh	NOUN
ap-620	156	4	is	be	AUX
ap-620	156	5	then	then	ADV
ap-620	156	6	subjected	subject	VERB
ap-620	156	7	to	to	ADP
ap-620	156	8	an	an	DET
ap-620	156	9	optimization	optimization	NOUN
ap-620	156	10	in	in	ADP
ap-620	156	11	order	order	NOUN
ap-620	156	12	to	to	PART
ap-620	156	13	improve	improve	VERB
ap-620	156	14	the	the	DET
ap-620	156	15	quality	quality	NOUN
ap-620	156	16	of	of	ADP
ap-620	156	17	the	the	DET
ap-620	156	18	final	final	ADJ
ap-620	156	19	mesh	mesh	NOUN
ap-620	156	20	.	.	PUNCT
ap-620	157	1	the	the	DET
ap-620	157	2	laplacian	laplacian	ADJ
ap-620	157	3	smoothing	smoothing	NOUN
ap-620	157	4	technique	technique	NOUN
ap-620	157	5	in	in	ADP
ap-620	157	6	combination	combination	NOUN
ap-620	157	7	with	with	ADP
ap-620	157	8	topological	topological	ADJ
ap-620	157	9	transformations	transformation	NOUN
ap-620	157	10	(	(	PUNCT
ap-620	157	11	diagonal	diagonal	ADJ
ap-620	157	12	edge	edge	NOUN
ap-620	157	13	swapping	swapping	NOUN
ap-620	157	14	)	)	PUNCT
ap-620	157	15	is	be	AUX
ap-620	157	16	adopted	adopt	VERB
ap-620	157	17	.	.	PUNCT
ap-620	158	1	this	this	PRON
ap-620	158	2	yields	yield	VERB
ap-620	158	3	the	the	DET
ap-620	158	4	optimized	optimize	VERB
ap-620	158	5	grid	grid	NOUN
ap-620	158	6	after	after	ADP
ap-620	158	7	only	only	ADV
ap-620	158	8	a	a	DET
ap-620	158	9	few	few	ADJ
ap-620	158	10	cycles	cycle	NOUN
ap-620	158	11	of	of	ADP
ap-620	158	12	smoothing	smooth	VERB
ap-620	158	13	(	(	PUNCT
ap-620	158	14	typically	typically	ADV
ap-620	158	15	up	up	ADP
ap-620	158	16	to	to	ADP
ap-620	158	17	six	six	NUM
ap-620	158	18	)	)	PUNCT
ap-620	158	19	.	.	PUNCT
ap-620	159	1	note	note	VERB
ap-620	159	2	that	that	SCONJ
ap-620	159	3	,	,	PUNCT
ap-620	159	4	unlike	unlike	ADP
ap-620	159	5	to	to	ADP
ap-620	159	6	the	the	DET
ap-620	159	7	smoothing	smoothing	NOUN
ap-620	159	8	carried	carry	VERB
ap-620	159	9	out	out	ADP
ap-620	159	10	in	in	ADP
ap-620	159	11	2d	2d	NOUN
ap-620	159	12	,	,	PUNCT
ap-620	159	13	the	the	DET
ap-620	159	14	repositioning	repositioning	NOUN
ap-620	159	15	of	of	ADP
ap-620	159	16	a	a	DET
ap-620	159	17	node	node	NOUN
ap-620	159	18	during	during	ADP
ap-620	159	19	the	the	DET
ap-620	159	20	smoothing	smoothing	NOUN
ap-620	159	21	is	be	AUX
ap-620	159	22	likely	likely	ADJ
ap-620	159	23	to	to	PART
ap-620	159	24	shift	shift	VERB
ap-620	159	25	the	the	DET
ap-620	159	26	node	node	NOUN
ap-620	159	27	out	out	ADP
ap-620	159	28	of	of	ADP
ap-620	159	29	the	the	DET
ap-620	159	30	surface	surface	NOUN
ap-620	159	31	.	.	PUNCT
ap-620	160	1	therefore	therefore	ADV
ap-620	160	2	,	,	PUNCT
ap-620	160	3	the	the	DET
ap-620	160	4	node	node	NOUN
ap-620	160	5	has	have	VERB
ap-620	160	6	to	to	PART
ap-620	160	7	be	be	AUX
ap-620	160	8	projected	project	VERB
ap-620	160	9	back	back	ADV
ap-620	160	10	to	to	ADP
ap-620	160	11	the	the	DET
ap-620	160	12	surface	surface	NOUN
ap-620	160	13	to	to	PART
ap-620	160	14	satisfy	satisfy	VERB
ap-620	160	15	the	the	DET
ap-620	160	16	surface	surface	NOUN
ap-620	160	17	constraint	constraint	NOUN
ap-620	160	18	.	.	PUNCT
ap-620	161	1	a	a	DET
ap-620	161	2	crucial	crucial	ADJ
ap-620	161	3	aspect	aspect	NOUN
ap-620	161	4	of	of	ADP
ap-620	161	5	the	the	DET
ap-620	161	6	proposed	propose	VERB
ap-620	161	7	mesh	mesh	NOUN
ap-620	161	8	generation	generation	NOUN
ap-620	161	9	strategy	strategy	NOUN
ap-620	161	10	is	be	AUX
ap-620	161	11	related	relate	VERB
ap-620	161	12	to	to	ADP
ap-620	161	13	the	the	DET
ap-620	161	14	point	point	NOUN
ap-620	161	15	-	-	PUNCT
ap-620	161	16	to	to	ADP
ap-620	161	17	-	-	PUNCT
ap-620	161	18	surface	surface	NOUN
ap-620	161	19	projection	projection	NOUN
ap-620	161	20	.	.	PUNCT
ap-620	162	1	simple	simple	ADJ
ap-620	162	2	and	and	CCONJ
ap-620	162	3	efficient	efficient	ADJ
ap-620	162	4	algorithms	algorithm	NOUN
ap-620	162	5	available	available	ADJ
ap-620	162	6	for	for	ADP
ap-620	162	7	the	the	DET
ap-620	162	8	projection	projection	NOUN
ap-620	162	9	to	to	ADP
ap-620	162	10	parametric	parametric	ADJ
ap-620	162	11	surfaces	surface	NOUN
ap-620	162	12	can	can	AUX
ap-620	162	13	not	not	PART
ap-620	162	14	be	be	AUX
ap-620	162	15	adopted	adopt	VERB
ap-620	162	16	,	,	PUNCT
ap-620	162	17	simply	simply	ADV
ap-620	162	18	because	because	SCONJ
ap-620	162	19	parametrization	parametrization	NOUN
ap-620	162	20	of	of	ADP
ap-620	162	21	the	the	DET
ap-620	162	22	limit	limit	NOUN
ap-620	162	23	surface	surface	NOUN
ap-620	162	24	is	be	AUX
ap-620	162	25	missing	miss	VERB
ap-620	162	26	.	.	PUNCT
ap-620	163	1	the	the	DET
ap-620	163	2	situation	situation	NOUN
ap-620	163	3	is	be	AUX
ap-620	163	4	further	far	ADV
ap-620	163	5	complicated	complicate	VERB
ap-620	163	6	by	by	ADP
ap-620	163	7	the	the	DET
ap-620	163	8	fact	fact	NOUN
ap-620	163	9	that	that	SCONJ
ap-620	163	10	the	the	DET
ap-620	163	11	normal	normal	ADJ
ap-620	163	12	to	to	ADP
ap-620	163	13	the	the	DET
ap-620	163	14	limit	limit	NOUN
ap-620	163	15	surface	surface	NOUN
ap-620	163	16	can	can	AUX
ap-620	163	17	be	be	AUX
ap-620	163	18	evaluated	evaluate	VERB
ap-620	163	19	only	only	ADV
ap-620	163	20	at	at	ADP
ap-620	163	21	the	the	DET
ap-620	163	22	bg	bg	PROPN
ap-620	163	23	nodes	node	NOUN
ap-620	163	24	of	of	ADP
ap-620	163	25	the	the	DET
ap-620	163	26	original	original	ADJ
ap-620	163	27	or	or	CCONJ
ap-620	163	28	refined	refined	ADJ
ap-620	163	29	control	control	NOUN
ap-620	163	30	grid	grid	NOUN
ap-620	163	31	.	.	PUNCT
ap-620	164	1	therefore	therefore	ADV
ap-620	164	2	in	in	ADP
ap-620	164	3	order	order	NOUN
ap-620	164	4	to	to	PART
ap-620	164	5	make	make	VERB
ap-620	164	6	the	the	DET
ap-620	164	7	projection	projection	NOUN
ap-620	164	8	sufficiently	sufficiently	ADV
ap-620	164	9	accurate	accurate	ADJ
ap-620	164	10	(	(	PUNCT
ap-620	164	11	in	in	ADP
ap-620	164	12	terms	term	NOUN
ap-620	164	13	of	of	ADP
ap-620	164	14	the	the	DET
ap-620	164	15	distance	distance	NOUN
ap-620	164	16	from	from	ADP
ap-620	164	17	the	the	DET
ap-620	164	18	limit	limit	NOUN
ap-620	164	19	surface	surface	NOUN
ap-620	164	20	and	and	CCONJ
ap-620	164	21	match	match	VERB
ap-620	164	22	with	with	ADP
ap-620	164	23	the	the	DET
ap-620	164	24	exact	exact	ADJ
ap-620	164	25	normal	normal	ADJ
ap-620	164	26	)	)	PUNCT
ap-620	164	27	,	,	PUNCT
ap-620	164	28	it	it	PRON
ap-620	164	29	is	be	AUX
ap-620	164	30	necessary	necessary	ADJ
ap-620	164	31	to	to	PART
ap-620	164	32	subdivide	subdivide	VERB
ap-620	164	33	the	the	DET
ap-620	164	34	original	original	ADJ
ap-620	164	35	control	control	NOUN
ap-620	164	36	grid	grid	VERB
ap-620	164	37	up	up	ADP
ap-620	164	38	to	to	ADP
ap-620	164	39	a	a	DET
ap-620	164	40	high	high	ADJ
ap-620	164	41	level	level	NOUN
ap-620	164	42	.	.	PUNCT
ap-620	165	1	this	this	DET
ap-620	165	2	results	result	VERB
ap-620	165	3	in	in	ADP
ap-620	165	4	a	a	DET
ap-620	165	5	huge	huge	ADJ
ap-620	165	6	amount	amount	NOUN
ap-620	165	7	of	of	ADP
ap-620	165	8	data	datum	NOUN
ap-620	165	9	to	to	PART
ap-620	165	10	be	be	AUX
ap-620	165	11	stored	store	VERB
ap-620	165	12	,	,	PUNCT
ap-620	165	13	which	which	PRON
ap-620	165	14	is	be	AUX
ap-620	165	15	not	not	PART
ap-620	165	16	acceptable	acceptable	ADJ
ap-620	165	17	.	.	PUNCT
ap-620	166	1	in	in	ADP
ap-620	166	2	[	[	X
ap-620	166	3	6	6	NUM
ap-620	166	4	]	]	PUNCT
ap-620	166	5	,	,	PUNCT
ap-620	166	6	an	an	DET
ap-620	166	7	efficient	efficient	ADJ
ap-620	166	8	and	and	CCONJ
ap-620	166	9	reliable	reliable	ADJ
ap-620	166	10	approach	approach	NOUN
ap-620	166	11	for	for	ADP
ap-620	166	12	projecting	projecting	NOUN
ap-620	166	13	of	of	ADP
ap-620	166	14	a	a	DET
ap-620	166	15	point	point	NOUN
ap-620	166	16	to	to	ADP
ap-620	166	17	the	the	DET
ap-620	166	18	limit	limit	NOUN
ap-620	166	19	surface	surface	NOUN
ap-620	166	20	has	have	AUX
ap-620	166	21	been	be	AUX
ap-620	166	22	proposed	propose	VERB
ap-620	166	23	.	.	PUNCT
ap-620	167	1	this	this	DET
ap-620	167	2	approach	approach	NOUN
ap-620	167	3	is	be	AUX
ap-620	167	4	based	base	VERB
ap-620	167	5	on	on	ADP
ap-620	167	6	localized	localized	ADJ
ap-620	167	7	progressive	progressive	ADJ
ap-620	167	8	refinement	refinement	NOUN
ap-620	167	9	of	of	ADP
ap-620	167	10	the	the	DET
ap-620	167	11	control	control	NOUN
ap-620	167	12	grid	grid	NOUN
ap-620	167	13	towards	towards	ADP
ap-620	167	14	the	the	DET
ap-620	167	15	actual	actual	ADJ
ap-620	167	16	projection	projection	NOUN
ap-620	167	17	.	.	PUNCT
ap-620	168	1	recursive	recursive	ADJ
ap-620	168	2	implementation	implementation	NOUN
ap-620	168	3	of	of	ADP
ap-620	168	4	this	this	DET
ap-620	168	5	algorithm	algorithm	NOUN
ap-620	168	6	enables	enable	VERB
ap-620	168	7	virtually	virtually	ADV
ap-620	168	8	an	an	DET
ap-620	168	9	unlimited	unlimited	ADJ
ap-620	168	10	number	number	NOUN
ap-620	168	11	of	of	ADP
ap-620	168	12	refinements	refinement	NOUN
ap-620	168	13	with	with	ADP
ap-620	168	14	constant	constant	ADJ
ap-620	168	15	memory	memory	NOUN
ap-620	168	16	requirements	requirement	NOUN
ap-620	168	17	to	to	PART
ap-620	168	18	be	be	AUX
ap-620	168	19	performed	perform	VERB
ap-620	168	20	.	.	PUNCT
ap-620	169	1	note	note	VERB
ap-620	169	2	that	that	SCONJ
ap-620	169	3	the	the	DET
ap-620	169	4	refinement	refinement	NOUN
ap-620	169	5	is	be	AUX
ap-620	169	6	of	of	ADP
ap-620	169	7	a	a	DET
ap-620	169	8	temporary	temporary	ADJ
ap-620	169	9	character	character	NOUN
ap-620	169	10	,	,	PUNCT
ap-620	169	11	and	and	CCONJ
ap-620	169	12	it	it	PRON
ap-620	169	13	is	be	AUX
ap-620	169	14	discarded	discard	VERB
ap-620	169	15	after	after	SCONJ
ap-620	169	16	the	the	DET
ap-620	169	17	projection	projection	NOUN
ap-620	169	18	is	be	AUX
ap-620	169	19	completed	complete	VERB
ap-620	169	20	.	.	PUNCT
ap-620	170	1	since	since	SCONJ
ap-620	170	2	some	some	PRON
ap-620	170	3	of	of	ADP
ap-620	170	4	the	the	DET
ap-620	170	5	projections	projection	NOUN
ap-620	170	6	during	during	ADP
ap-620	170	7	mesh	mesh	NOUN
ap-620	170	8	generation	generation	NOUN
ap-620	170	9	can	can	AUX
ap-620	170	10	be	be	AUX
ap-620	170	11	accomplished	accomplish	VERB
ap-620	170	12	with	with	ADP
ap-620	170	13	considerably	considerably	ADV
ap-620	170	14	lower	low	ADJ
ap-620	170	15	accuracy	accuracy	NOUN
ap-620	170	16	(	(	PUNCT
ap-620	170	17	without	without	ADP
ap-620	170	18	any	any	DET
ap-620	170	19	significant	significant	ADJ
ap-620	170	20	impact	impact	NOUN
ap-620	170	21	on	on	ADP
ap-620	170	22	the	the	DET
ap-620	170	23	resulting	result	VERB
ap-620	170	24	mesh	mesh	NOUN
ap-620	170	25	)	)	PUNCT
ap-620	170	26	,	,	PUNCT
ap-620	170	27	an	an	DET
ap-620	170	28	alternative	alternative	NOUN
ap-620	170	29	approximate	approximate	ADJ
ap-620	170	30	,	,	PUNCT
ap-620	170	31	but	but	CCONJ
ap-620	170	32	more	more	ADV
ap-620	170	33	efficient	efficient	ADJ
ap-620	170	34	projection	projection	NOUN
ap-620	170	35	tech	tech	NOUN
ap-620	170	36	©	©	PROPN
ap-620	170	37	czech	czech	PROPN
ap-620	170	38	technical	technical	PROPN
ap-620	170	39	university	university	PROPN
ap-620	170	40	publishing	publishing	NOUN
ap-620	170	41	house	house	NOUN
ap-620	170	42	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-620	170	43	65	65	NUM
ap-620	170	44	acta	acta	PROPN
ap-620	170	45	polytechnica	polytechnica	PROPN
ap-620	170	46	vol	vol	NOUN
ap-620	170	47	.	.	PROPN
ap-620	171	1	44	44	NUM
ap-620	171	2	no	no	NOUN
ap-620	171	3	.	.	PUNCT
ap-620	172	1	5–6/2004	5–6/2004	NUM
ap-620	172	2	nique	nique	NOUN
ap-620	172	3	was	be	AUX
ap-620	172	4	suggested	suggest	VERB
ap-620	172	5	.	.	PUNCT
ap-620	173	1	this	this	PRON
ap-620	173	2	is	be	AUX
ap-620	173	3	based	base	VERB
ap-620	173	4	on	on	ADP
ap-620	173	5	approximating	approximate	VERB
ap-620	173	6	of	of	ADP
ap-620	173	7	bg	bg	PROPN
ap-620	173	8	faces	face	NOUN
ap-620	173	9	of	of	ADP
ap-620	173	10	the	the	DET
ap-620	173	11	control	control	NOUN
ap-620	173	12	grid	grid	VERB
ap-620	173	13	by	by	ADP
ap-620	173	14	quadratic	quadratic	ADJ
ap-620	173	15	bezier	bezier	NOUN
ap-620	173	16	triangular	triangular	NOUN
ap-620	173	17	patches	patch	NOUN
ap-620	173	18	and	and	CCONJ
ap-620	173	19	on	on	ADP
ap-620	173	20	employing	employ	VERB
ap-620	173	21	of	of	ADP
ap-620	173	22	a	a	DET
ap-620	173	23	standard	standard	ADJ
ap-620	173	24	projection	projection	NOUN
ap-620	173	25	technique	technique	NOUN
ap-620	173	26	applicable	applicable	ADJ
ap-620	173	27	to	to	ADP
ap-620	173	28	parametric	parametric	ADJ
ap-620	173	29	surfaces	surface	NOUN
ap-620	173	30	(	(	PUNCT
ap-620	173	31	see	see	VERB
ap-620	173	32	[	[	X
ap-620	173	33	6	6	NUM
ap-620	173	34	]	]	PUNCT
ap-620	173	35	for	for	ADP
ap-620	173	36	details	detail	NOUN
ap-620	173	37	)	)	PUNCT
ap-620	173	38	.	.	PUNCT
ap-620	174	1	with	with	ADP
ap-620	174	2	respect	respect	NOUN
ap-620	174	3	to	to	ADP
ap-620	174	4	the	the	DET
ap-620	174	5	application	application	NOUN
ap-620	174	6	of	of	ADP
ap-620	174	7	the	the	DET
ap-620	174	8	above	above	ADJ
ap-620	174	9	meshing	meshing	NOUN
ap-620	174	10	technique	technique	NOUN
ap-620	174	11	to	to	ADP
ap-620	174	12	the	the	DET
ap-620	174	13	limit	limit	NOUN
ap-620	174	14	surfaces	surface	NOUN
ap-620	174	15	reconstructed	reconstruct	VERB
ap-620	174	16	from	from	ADP
ap-620	174	17	the	the	DET
ap-620	174	18	stl	stl	PROPN
ap-620	174	19	meshes	meshes	PROPN
ap-620	174	20	,	,	PUNCT
ap-620	174	21	it	it	PRON
ap-620	174	22	should	should	AUX
ap-620	174	23	be	be	AUX
ap-620	174	24	noted	note	VERB
ap-620	174	25	that	that	SCONJ
ap-620	174	26	planar	planar	ADJ
ap-620	174	27	surfaces	surface	NOUN
ap-620	174	28	(	(	PUNCT
ap-620	174	29	seemingly	seemingly	ADV
ap-620	174	30	the	the	DET
ap-620	174	31	simplest	simple	ADJ
ap-620	174	32	case	case	NOUN
ap-620	174	33	)	)	PUNCT
ap-620	174	34	must	must	AUX
ap-620	174	35	be	be	AUX
ap-620	174	36	handled	handle	VERB
ap-620	174	37	in	in	ADP
ap-620	174	38	a	a	DET
ap-620	174	39	special	special	ADJ
ap-620	174	40	way	way	NOUN
ap-620	174	41	.	.	PUNCT
ap-620	175	1	the	the	DET
ap-620	175	2	reason	reason	NOUN
ap-620	175	3	is	be	AUX
ap-620	175	4	that	that	SCONJ
ap-620	175	5	a	a	DET
ap-620	175	6	planar	planar	ADJ
ap-620	175	7	surface	surface	NOUN
ap-620	175	8	,	,	PUNCT
ap-620	175	9	having	have	VERB
ap-620	175	10	zero	zero	NUM
ap-620	175	11	curvature	curvature	NOUN
ap-620	175	12	in	in	ADP
ap-620	175	13	all	all	DET
ap-620	175	14	directions	direction	NOUN
ap-620	175	15	,	,	PUNCT
ap-620	175	16	prevents	prevent	VERB
ap-620	175	17	the	the	DET
ap-620	175	18	use	use	NOUN
ap-620	175	19	of	of	ADP
ap-620	175	20	a	a	DET
ap-620	175	21	curvature	curvature	NOUN
ap-620	175	22	based	base	VERB
ap-620	175	23	mechanism	mechanism	NOUN
ap-620	175	24	to	to	PART
ap-620	175	25	tessellate	tessellate	VERB
ap-620	175	26	it	it	PRON
ap-620	175	27	into	into	ADP
ap-620	175	28	stl	stl	PROPN
ap-620	175	29	bg	bg	PROPN
ap-620	175	30	faces	face	VERB
ap-620	175	31	.	.	PUNCT
ap-620	176	1	therefore	therefore	ADV
ap-620	176	2	the	the	DET
ap-620	176	3	aspect	aspect	NOUN
ap-620	176	4	ratio	ratio	NOUN
ap-620	176	5	and	and	CCONJ
ap-620	176	6	orientation	orientation	NOUN
ap-620	176	7	(	(	PUNCT
ap-620	176	8	in	in	ADP
ap-620	176	9	plane	plane	NOUN
ap-620	176	10	)	)	PUNCT
ap-620	176	11	of	of	ADP
ap-620	176	12	the	the	DET
ap-620	176	13	individual	individual	ADJ
ap-620	176	14	bg	bg	PROPN
ap-620	176	15	faces	face	NOUN
ap-620	176	16	can	can	AUX
ap-620	176	17	not	not	PART
ap-620	176	18	be	be	AUX
ap-620	176	19	related	relate	VERB
ap-620	176	20	to	to	ADP
ap-620	176	21	the	the	DET
ap-620	176	22	curvature	curvature	NOUN
ap-620	176	23	.	.	PUNCT
ap-620	177	1	this	this	PRON
ap-620	177	2	allows	allow	VERB
ap-620	177	3	two	two	NUM
ap-620	177	4	neighbouring	neighbouring	ADJ
ap-620	177	5	bg	bg	PROPN
ap-620	177	6	faces	face	NOUN
ap-620	177	7	forming	form	VERB
ap-620	177	8	the	the	DET
ap-620	177	9	same	same	ADJ
ap-620	177	10	planar	planar	ADJ
ap-620	177	11	surface	surface	NOUN
ap-620	177	12	to	to	PART
ap-620	177	13	considerably	considerably	ADV
ap-620	177	14	differ	differ	VERB
ap-620	177	15	in	in	ADP
ap-620	177	16	the	the	DET
ap-620	177	17	aspect	aspect	NOUN
ap-620	177	18	ratio	ratio	NOUN
ap-620	177	19	measured	measure	VERB
ap-620	177	20	with	with	ADP
ap-620	177	21	respect	respect	NOUN
ap-620	177	22	to	to	ADP
ap-620	177	23	the	the	DET
ap-620	177	24	shared	share	VERB
ap-620	177	25	bg	bg	PROPN
ap-620	177	26	side	side	NOUN
ap-620	177	27	.	.	PUNCT
ap-620	178	1	as	as	ADP
ap-620	178	2	a	a	DET
ap-620	178	3	direct	direct	ADJ
ap-620	178	4	consequence	consequence	NOUN
ap-620	178	5	,	,	PUNCT
ap-620	178	6	the	the	DET
ap-620	178	7	limit	limit	NOUN
ap-620	178	8	surface	surface	NOUN
ap-620	178	9	folds	fold	NOUN
ap-620	178	10	over	over	ADP
ap-620	178	11	itself	itself	PRON
ap-620	178	12	,	,	PUNCT
ap-620	178	13	possibly	possibly	ADV
ap-620	178	14	crossing	cross	VERB
ap-620	178	15	the	the	DET
ap-620	178	16	boundary	boundary	NOUN
ap-620	178	17	of	of	ADP
ap-620	178	18	the	the	DET
ap-620	178	19	surface	surface	NOUN
ap-620	178	20	.	.	PUNCT
ap-620	179	1	even	even	ADV
ap-620	179	2	though	though	SCONJ
ap-620	179	3	such	such	DET
ap-620	179	4	a	a	DET
ap-620	179	5	surface	surface	NOUN
ap-620	179	6	still	still	ADV
ap-620	179	7	seems	seem	VERB
ap-620	179	8	to	to	PART
ap-620	179	9	be	be	AUX
ap-620	179	10	planar	planar	ADJ
ap-620	179	11	,	,	PUNCT
ap-620	179	12	it	it	PRON
ap-620	179	13	is	be	AUX
ap-620	179	14	not	not	PART
ap-620	179	15	any	any	PRON
ap-620	179	16	more	more	ADJ
ap-620	179	17	,	,	PUNCT
ap-620	179	18	since	since	SCONJ
ap-620	179	19	the	the	DET
ap-620	179	20	normal	normal	ADJ
ap-620	179	21	changes	change	NOUN
ap-620	179	22	orientation	orientation	NOUN
ap-620	179	23	from	from	ADP
ap-620	179	24	point	point	NOUN
ap-620	179	25	to	to	PART
ap-620	179	26	point	point	NOUN
ap-620	179	27	,	,	PUNCT
ap-620	179	28	which	which	PRON
ap-620	179	29	is	be	AUX
ap-620	179	30	fatal	fatal	ADJ
ap-620	179	31	for	for	ADP
ap-620	179	32	the	the	DET
ap-620	179	33	meshing	meshing	NOUN
ap-620	179	34	algorithm	algorithm	NOUN
ap-620	179	35	.	.	PUNCT
ap-620	180	1	therefore	therefore	ADV
ap-620	180	2	,	,	PUNCT
ap-620	180	3	when	when	SCONJ
ap-620	180	4	triangulating	triangulate	VERB
ap-620	180	5	a	a	DET
ap-620	180	6	planar	planar	ADJ
ap-620	180	7	surface	surface	NOUN
ap-620	180	8	,	,	PUNCT
ap-620	180	9	the	the	DET
ap-620	180	10	subdivision	subdivision	NOUN
ap-620	180	11	is	be	AUX
ap-620	180	12	not	not	PART
ap-620	180	13	invoked	invoke	VERB
ap-620	180	14	and	and	CCONJ
ap-620	180	15	the	the	DET
ap-620	180	16	bg	bg	PROPN
ap-620	180	17	faces	face	NOUN
ap-620	180	18	of	of	ADP
ap-620	180	19	the	the	DET
ap-620	180	20	control	control	NOUN
ap-620	180	21	grid	grid	NOUN
ap-620	180	22	are	be	AUX
ap-620	180	23	used	use	VERB
ap-620	180	24	for	for	ADP
ap-620	180	25	localization	localization	NOUN
ap-620	180	26	purposes	purpose	NOUN
ap-620	180	27	only	only	ADV
ap-620	180	28	.	.	PUNCT
ap-620	181	1	the	the	DET
ap-620	181	2	proposed	propose	VERB
ap-620	181	3	methodology	methodology	NOUN
ap-620	181	4	for	for	ADP
ap-620	181	5	the	the	DET
ap-620	181	6	discretization	discretization	NOUN
ap-620	181	7	of	of	ADP
ap-620	181	8	surfaces	surface	NOUN
ap-620	181	9	described	describe	VERB
ap-620	181	10	by	by	ADP
ap-620	181	11	stl	stl	PROPN
ap-620	181	12	meshes	meshes	PROPN
ap-620	181	13	is	be	AUX
ap-620	181	14	demonstrated	demonstrate	VERB
ap-620	181	15	on	on	ADP
ap-620	181	16	the	the	DET
ap-620	181	17	example	example	NOUN
ap-620	181	18	of	of	ADP
ap-620	181	19	a	a	DET
ap-620	181	20	propeller	propeller	NOUN
ap-620	181	21	.	.	PUNCT
ap-620	182	1	the	the	DET
ap-620	182	2	original	original	ADJ
ap-620	182	3	stl	stl	PROPN
ap-620	182	4	mesh	mesh	NOUN
ap-620	182	5	is	be	AUX
ap-620	182	6	depicted	depict	VERB
ap-620	182	7	in	in	ADP
ap-620	182	8	fig	fig	NOUN
ap-620	182	9	.	.	PUNCT
ap-620	183	1	5	5	X
ap-620	183	2	.	.	PUNCT
ap-620	183	3	the	the	DET
ap-620	183	4	triangulation	triangulation	NOUN
ap-620	183	5	with	with	ADP
ap-620	183	6	curvature	curvature	NOUN
ap-620	183	7	based	base	VERB
ap-620	183	8	element	element	NOUN
ap-620	183	9	size	size	NOUN
ap-620	183	10	control	control	NOUN
ap-620	183	11	is	be	AUX
ap-620	183	12	presented	present	VERB
ap-620	183	13	in	in	ADP
ap-620	183	14	fig	fig	NOUN
ap-620	183	15	.	.	PUNCT
ap-620	184	1	6	6	NUM
ap-620	184	2	.	.	PUNCT
ap-620	185	1	although	although	SCONJ
ap-620	185	2	the	the	DET
ap-620	185	3	original	original	ADJ
ap-620	185	4	stl	stl	PROPN
ap-620	185	5	representation	representation	NOUN
ap-620	185	6	is	be	AUX
ap-620	185	7	rather	rather	ADV
ap-620	185	8	coarse	coarse	ADJ
ap-620	185	9	,	,	PUNCT
ap-620	185	10	the	the	DET
ap-620	185	11	final	final	ADJ
ap-620	185	12	mesh	mesh	NOUN
ap-620	185	13	captures	capture	VERB
ap-620	185	14	the	the	DET
ap-620	185	15	shape	shape	NOUN
ap-620	185	16	of	of	ADP
ap-620	185	17	the	the	DET
ap-620	185	18	propeller	propeller	NOUN
ap-620	185	19	well	well	ADV
ap-620	185	20	.	.	PUNCT
ap-620	186	1	6	6	NUM
ap-620	186	2	conclusions	conclusion	NOUN
ap-620	186	3	this	this	DET
ap-620	186	4	paper	paper	NOUN
ap-620	186	5	has	have	AUX
ap-620	186	6	introduced	introduce	VERB
ap-620	186	7	an	an	DET
ap-620	186	8	approach	approach	NOUN
ap-620	186	9	for	for	ADP
ap-620	186	10	the	the	DET
ap-620	186	11	direct	direct	ADJ
ap-620	186	12	triangulation	triangulation	NOUN
ap-620	186	13	of	of	ADP
ap-620	186	14	3d	3d	PROPN
ap-620	186	15	surfaces	surface	NOUN
ap-620	186	16	described	describe	VERB
ap-620	186	17	by	by	ADP
ap-620	186	18	stl	stl	PROPN
ap-620	186	19	meshes	meshes	PROPN
ap-620	186	20	.	.	PUNCT
ap-620	187	1	although	although	SCONJ
ap-620	187	2	the	the	DET
ap-620	187	3	stl	stl	PROPN
ap-620	187	4	mesh	mesh	NOUN
ap-620	187	5	is	be	AUX
ap-620	187	6	a	a	DET
ap-620	187	7	valid	valid	ADJ
ap-620	187	8	fully	fully	ADV
ap-620	187	9	conforming	conform	VERB
ap-620	187	10	triangulation	triangulation	NOUN
ap-620	187	11	,	,	PUNCT
ap-620	187	12	its	its	PRON
ap-620	187	13	special	special	ADJ
ap-620	187	14	designation	designation	NOUN
ap-620	187	15	for	for	ADP
ap-620	187	16	rapid	rapid	ADJ
ap-620	187	17	prototyping	prototyping	NOUN
ap-620	187	18	makes	make	VERB
ap-620	187	19	it	it	PRON
ap-620	187	20	very	very	ADV
ap-620	187	21	specific	specific	ADJ
ap-620	187	22	.	.	PUNCT
ap-620	188	1	the	the	DET
ap-620	188	2	actual	actual	ADJ
ap-620	188	3	discretization	discretization	NOUN
ap-620	188	4	consists	consist	VERB
ap-620	188	5	of	of	ADP
ap-620	188	6	several	several	ADJ
ap-620	188	7	phases	phase	NOUN
ap-620	188	8	.	.	PUNCT
ap-620	189	1	firstly	firstly	ADV
ap-620	189	2	,	,	PUNCT
ap-620	189	3	a	a	DET
ap-620	189	4	boundary	boundary	ADJ
ap-620	189	5	representation	representation	NOUN
ap-620	189	6	of	of	ADP
ap-620	189	7	the	the	DET
ap-620	189	8	object	object	NOUN
ap-620	189	9	is	be	AUX
ap-620	189	10	66	66	NUM
ap-620	189	11	©	©	PROPN
ap-620	189	12	czech	czech	PROPN
ap-620	189	13	technical	technical	PROPN
ap-620	189	14	university	university	PROPN
ap-620	189	15	publishing	publishing	NOUN
ap-620	189	16	house	house	NOUN
ap-620	189	17	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-620	189	18	acta	acta	PROPN
ap-620	189	19	polytechnica	polytechnica	PROPN
ap-620	189	20	vol	vol	NOUN
ap-620	189	21	.	.	PROPN
ap-620	190	1	44	44	NUM
ap-620	190	2	no	no	NOUN
ap-620	190	3	.	.	PUNCT
ap-620	191	1	5–6/2004	5–6/2004	NUM
ap-620	191	2	fig	fig	NOUN
ap-620	191	3	.	.	PUNCT
ap-620	192	1	5	5	NUM
ap-620	192	2	:	:	PUNCT
ap-620	192	3	stl	stl	PROPN
ap-620	192	4	mesh	mesh	NOUN
ap-620	192	5	of	of	ADP
ap-620	192	6	a	a	DET
ap-620	192	7	propeller	propeller	NOUN
ap-620	192	8	fig	fig	NOUN
ap-620	192	9	.	.	PUNCT
ap-620	193	1	6	6	NUM
ap-620	193	2	:	:	PUNCT
ap-620	193	3	graded	grade	VERB
ap-620	193	4	mesh	mesh	NOUN
ap-620	193	5	of	of	ADP
ap-620	193	6	a	a	DET
ap-620	193	7	propeller	propeller	NOUN
ap-620	193	8	constructed	construct	VERB
ap-620	193	9	from	from	ADP
ap-620	193	10	the	the	DET
ap-620	193	11	stl	stl	PROPN
ap-620	193	12	file	file	NOUN
ap-620	193	13	using	use	VERB
ap-620	193	14	a	a	DET
ap-620	193	15	feature	feature	NOUN
ap-620	193	16	recognition	recognition	NOUN
ap-620	193	17	approach	approach	NOUN
ap-620	193	18	.	.	PUNCT
ap-620	194	1	it	it	PRON
ap-620	194	2	has	have	AUX
ap-620	194	3	been	be	AUX
ap-620	194	4	shown	show	VERB
ap-620	194	5	that	that	SCONJ
ap-620	194	6	this	this	PRON
ap-620	194	7	is	be	AUX
ap-620	194	8	an	an	DET
ap-620	194	9	ambiguous	ambiguous	ADJ
ap-620	194	10	task	task	NOUN
ap-620	194	11	which	which	PRON
ap-620	194	12	can	can	AUX
ap-620	194	13	not	not	PART
ap-620	194	14	generally	generally	ADV
ap-620	194	15	be	be	AUX
ap-620	194	16	fully	fully	ADV
ap-620	194	17	automated	automate	VERB
ap-620	194	18	.	.	PUNCT
ap-620	195	1	a	a	DET
ap-620	195	2	successful	successful	ADJ
ap-620	195	3	completion	completion	NOUN
ap-620	195	4	of	of	ADP
ap-620	195	5	this	this	DET
ap-620	195	6	procedure	procedure	NOUN
ap-620	195	7	often	often	ADV
ap-620	195	8	requires	require	VERB
ap-620	195	9	user	user	NOUN
ap-620	195	10	intervention	intervention	NOUN
ap-620	195	11	in	in	ADP
ap-620	195	12	the	the	DET
ap-620	195	13	framework	framework	NOUN
ap-620	195	14	of	of	ADP
ap-620	195	15	an	an	DET
ap-620	195	16	interactive	interactive	ADJ
ap-620	195	17	environment	environment	NOUN
ap-620	195	18	.	.	PUNCT
ap-620	196	1	in	in	ADP
ap-620	196	2	the	the	DET
ap-620	196	3	next	next	ADJ
ap-620	196	4	phase	phase	NOUN
ap-620	196	5	,	,	PUNCT
ap-620	196	6	a	a	DET
ap-620	196	7	smooth	smooth	ADJ
ap-620	196	8	(	(	PUNCT
ap-620	196	9	limit	limit	NOUN
ap-620	196	10	)	)	PUNCT
ap-620	196	11	surface	surface	NOUN
ap-620	196	12	is	be	AUX
ap-620	196	13	reconstructed	reconstruct	VERB
ap-620	196	14	over	over	ADP
ap-620	196	15	the	the	DET
ap-620	196	16	original	original	ADJ
ap-620	196	17	stl	stl	PROPN
ap-620	196	18	mesh	mesh	NOUN
ap-620	196	19	using	use	VERB
ap-620	196	20	a	a	DET
ap-620	196	21	subdivision	subdivision	NOUN
ap-620	196	22	technique	technique	NOUN
ap-620	196	23	yielding	yield	VERB
ap-620	196	24	the	the	DET
ap-620	196	25	differentiable	differentiable	ADJ
ap-620	196	26	c1	c1	NOUN
ap-620	196	27	limit	limit	NOUN
ap-620	196	28	surface	surface	NOUN
ap-620	196	29	.	.	PUNCT
ap-620	197	1	an	an	DET
ap-620	197	2	interpolating	interpolate	VERB
ap-620	197	3	subdivision	subdivision	NOUN
ap-620	197	4	based	base	VERB
ap-620	197	5	on	on	ADP
ap-620	197	6	the	the	DET
ap-620	197	7	slightly	slightly	ADV
ap-620	197	8	modified	modify	VERB
ap-620	197	9	butterfly	butterfly	NOUN
ap-620	197	10	scheme	scheme	NOUN
ap-620	197	11	has	have	AUX
ap-620	197	12	been	be	AUX
ap-620	197	13	adopted	adopt	VERB
ap-620	197	14	.	.	PUNCT
ap-620	198	1	the	the	DET
ap-620	198	2	modifications	modification	NOUN
ap-620	198	3	make	make	VERB
ap-620	198	4	the	the	DET
ap-620	198	5	limit	limit	NOUN
ap-620	198	6	surface	surface	VERB
ap-620	198	7	smoother	smooth	ADJ
ap-620	198	8	in	in	ADP
ap-620	198	9	situations	situation	NOUN
ap-620	198	10	where	where	SCONJ
ap-620	198	11	the	the	DET
ap-620	198	12	original	original	ADJ
ap-620	198	13	strategy	strategy	NOUN
ap-620	198	14	seems	seem	VERB
ap-620	198	15	to	to	PART
ap-620	198	16	be	be	AUX
ap-620	198	17	insufficiently	insufficiently	ADV
ap-620	198	18	flexible	flexible	ADJ
ap-620	198	19	,	,	PUNCT
ap-620	198	20	which	which	PRON
ap-620	198	21	is	be	AUX
ap-620	198	22	often	often	ADV
ap-620	198	23	the	the	DET
ap-620	198	24	case	case	NOUN
ap-620	198	25	for	for	ADP
ap-620	198	26	stl	stl	PROPN
ap-620	198	27	meshes	mesh	NOUN
ap-620	198	28	containing	contain	VERB
ap-620	198	29	elements	element	NOUN
ap-620	198	30	of	of	ADP
ap-620	198	31	large	large	ADJ
ap-620	198	32	aspect	aspect	NOUN
ap-620	198	33	ratio	ratio	NOUN
ap-620	198	34	spanning	span	VERB
ap-620	198	35	the	the	DET
ap-620	198	36	whole	whole	ADJ
ap-620	198	37	extent	extent	NOUN
ap-620	198	38	of	of	ADP
ap-620	198	39	the	the	DET
ap-620	198	40	surface	surface	NOUN
ap-620	198	41	in	in	ADP
ap-620	198	42	a	a	DET
ap-620	198	43	particular	particular	ADJ
ap-620	198	44	direction	direction	NOUN
ap-620	198	45	.	.	PUNCT
ap-620	199	1	finally	finally	ADV
ap-620	199	2	,	,	PUNCT
ap-620	199	3	the	the	DET
ap-620	199	4	limit	limit	NOUN
ap-620	199	5	surface	surface	NOUN
ap-620	199	6	is	be	AUX
ap-620	199	7	subjected	subject	VERB
ap-620	199	8	to	to	ADP
ap-620	199	9	a	a	DET
ap-620	199	10	triangulation	triangulation	NOUN
ap-620	199	11	based	base	VERB
ap-620	199	12	on	on	ADP
ap-620	199	13	the	the	DET
ap-620	199	14	advancing	advance	VERB
ap-620	199	15	front	front	ADJ
ap-620	199	16	technique	technique	NOUN
ap-620	199	17	constrained	constrain	VERB
ap-620	199	18	directly	directly	ADV
ap-620	199	19	to	to	ADP
ap-620	199	20	the	the	DET
ap-620	199	21	limit	limit	NOUN
ap-620	199	22	surface	surface	NOUN
ap-620	199	23	.	.	PUNCT
ap-620	200	1	the	the	DET
ap-620	200	2	vitality	vitality	NOUN
ap-620	200	3	of	of	ADP
ap-620	200	4	the	the	DET
ap-620	200	5	proposed	propose	VERB
ap-620	200	6	approach	approach	NOUN
ap-620	200	7	has	have	AUX
ap-620	200	8	been	be	AUX
ap-620	200	9	demonstrated	demonstrate	VERB
ap-620	200	10	on	on	ADP
ap-620	200	11	some	some	DET
ap-620	200	12	examples	example	NOUN
ap-620	200	13	.	.	PUNCT
ap-620	201	1	further	further	ADJ
ap-620	201	2	research	research	NOUN
ap-620	201	3	focus	focus	NOUN
ap-620	201	4	on	on	ADP
ap-620	201	5	primarily	primarily	ADV
ap-620	201	6	on	on	ADP
ap-620	201	7	additional	additional	ADJ
ap-620	201	8	improvement	improvement	NOUN
ap-620	201	9	of	of	ADP
ap-620	201	10	the	the	DET
ap-620	201	11	construction	construction	NOUN
ap-620	201	12	of	of	ADP
ap-620	201	13	the	the	DET
ap-620	201	14	boundary	boundary	ADJ
ap-620	201	15	representation	representation	NOUN
ap-620	201	16	in	in	ADP
ap-620	201	17	order	order	NOUN
ap-620	201	18	to	to	PART
ap-620	201	19	enable	enable	VERB
ap-620	201	20	as	as	ADV
ap-620	201	21	much	much	ADJ
ap-620	201	22	as	as	ADP
ap-620	201	23	possible	possible	ADJ
ap-620	201	24	automated	automated	ADJ
ap-620	201	25	processing	processing	NOUN
ap-620	201	26	of	of	ADP
ap-620	201	27	complex	complex	ADJ
ap-620	201	28	stl	stl	PROPN
ap-620	201	29	models	model	NOUN
ap-620	201	30	.	.	PUNCT
ap-620	202	1	acknowledgment	acknowledgment	NOUN
ap-620	202	2	this	this	DET
ap-620	202	3	work	work	NOUN
ap-620	202	4	was	be	AUX
ap-620	202	5	supported	support	VERB
ap-620	202	6	by	by	ADP
ap-620	202	7	ministry	ministry	PROPN
ap-620	202	8	of	of	ADP
ap-620	202	9	education	education	PROPN
ap-620	202	10	of	of	ADP
ap-620	202	11	czech	czech	PROPN
ap-620	202	12	republic	republic	PROPN
ap-620	202	13	project	project	PROPN
ap-620	202	14	no	no	NOUN
ap-620	202	15	.	.	PUNCT
ap-620	202	16	msm	msm	NOUN
ap-620	202	17	210000003	210000003	NUM
ap-620	202	18	.	.	PUNCT
ap-620	203	1	references	reference	NOUN
ap-620	203	2	[	[	X
ap-620	203	3	1	1	X
ap-620	203	4	]	]	X
ap-620	203	5	rypl	rypl	PROPN
ap-620	203	6	d.	d.	PROPN
ap-620	203	7	,	,	PUNCT
ap-620	203	8	bittnar	bittnar	PROPN
ap-620	203	9	z.	z.	PROPN
ap-620	203	10	:	:	PUNCT
ap-620	203	11	“	"	PUNCT
ap-620	203	12	triangulation	triangulation	NOUN
ap-620	203	13	of	of	ADP
ap-620	203	14	3d	3d	PROPN
ap-620	203	15	surfaces	surface	NOUN
ap-620	203	16	:	:	PUNCT
ap-620	203	17	from	from	ADP
ap-620	203	18	parametric	parametric	ADJ
ap-620	203	19	to	to	PART
ap-620	203	20	discrete	discrete	VERB
ap-620	203	21	surfaces	surface	NOUN
ap-620	203	22	.	.	PUNCT
ap-620	203	23	”	"	PUNCT
ap-620	204	1	cd	cd	PROPN
ap-620	204	2	-	-	PUNCT
ap-620	204	3	rom	rom	NOUN
ap-620	204	4	proceedings	proceeding	NOUN
ap-620	204	5	of	of	ADP
ap-620	204	6	the	the	DET
ap-620	204	7	sixth	sixth	ADJ
ap-620	204	8	international	international	ADJ
ap-620	204	9	conference	conference	NOUN
ap-620	204	10	on	on	ADP
ap-620	204	11	engineering	engineer	VERB
ap-620	204	12	computational	computational	ADJ
ap-620	204	13	technology	technology	NOUN
ap-620	204	14	,	,	PUNCT
ap-620	204	15	civil	civil	ADJ
ap-620	204	16	-	-	PUNCT
ap-620	204	17	comp	comp	NOUN
ap-620	204	18	press	press	NOUN
ap-620	204	19	,	,	PUNCT
ap-620	204	20	2002	2002	NUM
ap-620	204	21	.	.	PUNCT
ap-620	205	1	[	[	X
ap-620	205	2	2	2	NUM
ap-620	205	3	]	]	PUNCT
ap-620	205	4	zorin	zorin	PROPN
ap-620	205	5	d.	d.	PROPN
ap-620	205	6	,	,	PUNCT
ap-620	205	7	schröder	schröder	PROPN
ap-620	205	8	p.	p.	PROPN
ap-620	205	9	,	,	PUNCT
ap-620	205	10	sweldens	sweldens	PROPN
ap-620	205	11	w.	w.	PROPN
ap-620	205	12	:	:	PUNCT
ap-620	205	13	“	"	PUNCT
ap-620	205	14	interpolating	interpolate	VERB
ap-620	205	15	subdivision	subdivision	NOUN
ap-620	205	16	for	for	ADP
ap-620	205	17	meshes	mesh	NOUN
ap-620	205	18	with	with	ADP
ap-620	205	19	arbitrary	arbitrary	ADJ
ap-620	205	20	topology	topology	NOUN
ap-620	205	21	.	.	PUNCT
ap-620	205	22	”	"	PUNCT
ap-620	206	1	computer	computer	NOUN
ap-620	206	2	graphics	graphic	NOUN
ap-620	206	3	proceedings	proceeding	NOUN
ap-620	206	4	(	(	PUNCT
ap-620	206	5	siggraph	siggraph	NOUN
ap-620	206	6	’	'	PUNCT
ap-620	206	7	96	96	NUM
ap-620	206	8	)	)	PUNCT
ap-620	206	9	,	,	PUNCT
ap-620	206	10	1996	1996	NUM
ap-620	206	11	,	,	PUNCT
ap-620	206	12	p.	p.	NOUN
ap-620	206	13	189–192	189–192	NUM
ap-620	206	14	.	.	PUNCT
ap-620	207	1	[	[	X
ap-620	207	2	3	3	NUM
ap-620	207	3	]	]	X
ap-620	207	4	dyn	dyn	NOUN
ap-620	207	5	n.	n.	NOUN
ap-620	207	6	,	,	PUNCT
ap-620	207	7	gregory	gregory	PROPN
ap-620	207	8	j.	j.	PROPN
ap-620	207	9	a.	a.	PROPN
ap-620	207	10	,	,	PUNCT
ap-620	207	11	levin	levin	PROPN
ap-620	207	12	a.	a.	PROPN
ap-620	207	13	:	:	PUNCT
ap-620	207	14	“	"	PUNCT
ap-620	207	15	a	a	DET
ap-620	207	16	four	four	NUM
ap-620	207	17	-	-	PUNCT
ap-620	207	18	point	point	NOUN
ap-620	207	19	interpolatory	interpolatory	NOUN
ap-620	207	20	subdivision	subdivision	NOUN
ap-620	207	21	scheme	scheme	NOUN
ap-620	207	22	for	for	ADP
ap-620	207	23	curve	curve	NOUN
ap-620	207	24	design	design	NOUN
ap-620	207	25	.	.	PUNCT
ap-620	207	26	”	"	PUNCT
ap-620	208	1	computer	computer	NOUN
ap-620	208	2	aided	aid	VERB
ap-620	208	3	geometric	geometric	ADJ
ap-620	208	4	design	design	NOUN
ap-620	208	5	,	,	PUNCT
ap-620	208	6	1987	1987	NUM
ap-620	208	7	,	,	PUNCT
ap-620	208	8	p.	p.	NOUN
ap-620	208	9	257–268	257–268	NUM
ap-620	208	10	.	.	PUNCT
ap-620	209	1	[	[	X
ap-620	209	2	4	4	NUM
ap-620	209	3	]	]	X
ap-620	209	4	halstead	halstead	PROPN
ap-620	209	5	m.	m.	PROPN
ap-620	209	6	,	,	PUNCT
ap-620	209	7	kass	kass	PROPN
ap-620	209	8	m.	m.	PROPN
ap-620	209	9	,	,	PUNCT
ap-620	209	10	de	de	X
ap-620	209	11	rose	rise	VERB
ap-620	209	12	t.	t.	PROPN
ap-620	209	13	:	:	PUNCT
ap-620	209	14	“	"	PUNCT
ap-620	209	15	efficient	efficient	ADJ
ap-620	209	16	,	,	PUNCT
ap-620	209	17	fair	fair	ADJ
ap-620	209	18	interpolation	interpolation	NOUN
ap-620	209	19	using	use	VERB
ap-620	209	20	catmull	catmull	NOUN
ap-620	209	21	-	-	PUNCT
ap-620	209	22	clark	clark	NOUN
ap-620	209	23	surfaces	surface	NOUN
ap-620	209	24	.	.	PUNCT
ap-620	209	25	”	"	PUNCT
ap-620	209	26	computer	computer	NOUN
ap-620	209	27	graphics	graphic	NOUN
ap-620	209	28	proceedings	proceeding	NOUN
ap-620	209	29	(	(	PUNCT
ap-620	209	30	siggraph	siggraph	NOUN
ap-620	209	31	’	'	PUNCT
ap-620	209	32	93	93	NUM
ap-620	209	33	)	)	PUNCT
ap-620	209	34	,	,	PUNCT
ap-620	209	35	(	(	PUNCT
ap-620	209	36	1993	1993	NUM
ap-620	209	37	)	)	PUNCT
ap-620	209	38	,	,	PUNCT
ap-620	209	39	p.	p.	NOUN
ap-620	209	40	35–44	35–44	NUM
ap-620	209	41	.	.	PUNCT
ap-620	210	1	[	[	X
ap-620	210	2	5	5	NUM
ap-620	210	3	]	]	PUNCT
ap-620	210	4	bittnar	bittnar	PROPN
ap-620	210	5	z.	z.	PROPN
ap-620	210	6	,	,	PUNCT
ap-620	210	7	rypl	rypl	PROPN
ap-620	210	8	d.	d.	PROPN
ap-620	210	9	:	:	PUNCT
ap-620	210	10	“	"	PUNCT
ap-620	210	11	direct	direct	ADJ
ap-620	210	12	triangulation	triangulation	NOUN
ap-620	210	13	of	of	ADP
ap-620	210	14	3d	3d	PROPN
ap-620	210	15	surfaces	surface	NOUN
ap-620	210	16	using	use	VERB
ap-620	210	17	the	the	DET
ap-620	210	18	advancing	advance	VERB
ap-620	210	19	front	front	ADJ
ap-620	210	20	technique	technique	NOUN
ap-620	210	21	.	.	PUNCT
ap-620	210	22	”	"	PUNCT
ap-620	210	23	numerical	numerical	ADJ
ap-620	210	24	methods	method	NOUN
ap-620	210	25	in	in	ADP
ap-620	210	26	engineering	engineer	VERB
ap-620	210	27	’	'	PUNCT
ap-620	210	28	96	96	NUM
ap-620	210	29	(	(	PUNCT
ap-620	210	30	eccomas	eccomas	PROPN
ap-620	210	31	’	'	PUNCT
ap-620	210	32	96	96	NUM
ap-620	210	33	)	)	PUNCT
ap-620	210	34	,	,	PUNCT
ap-620	210	35	wiley	wiley	PROPN
ap-620	210	36	&	&	CCONJ
ap-620	210	37	sons	son	NOUN
ap-620	210	38	,	,	PUNCT
ap-620	210	39	1996	1996	NUM
ap-620	210	40	,	,	PUNCT
ap-620	210	41	p.	p.	NOUN
ap-620	210	42	86–99	86–99	NUM
ap-620	210	43	.	.	PUNCT
ap-620	211	1	[	[	X
ap-620	211	2	6	6	NUM
ap-620	211	3	]	]	PUNCT
ap-620	211	4	rypl	rypl	PROPN
ap-620	211	5	d.	d.	PROPN
ap-620	211	6	,	,	PUNCT
ap-620	211	7	bittnar	bittnar	PROPN
ap-620	211	8	z.	z.	PROPN
ap-620	211	9	:	:	PUNCT
ap-620	211	10	“	"	PUNCT
ap-620	211	11	triangulation	triangulation	NOUN
ap-620	211	12	of	of	ADP
ap-620	211	13	3d	3d	PROPN
ap-620	211	14	surfaces	surface	NOUN
ap-620	211	15	reconstructed	reconstruct	VERB
ap-620	211	16	by	by	ADP
ap-620	211	17	interpolating	interpolate	VERB
ap-620	211	18	subdivision	subdivision	NOUN
ap-620	211	19	.	.	PUNCT
ap-620	211	20	”	"	PUNCT
ap-620	212	1	to	to	PART
ap-620	212	2	appear	appear	VERB
ap-620	212	3	in	in	ADP
ap-620	212	4	computers	computer	NOUN
ap-620	212	5	and	and	CCONJ
ap-620	212	6	structures	structure	NOUN
ap-620	212	7	.	.	PUNCT
ap-620	213	1	doc	doc	PROPN
ap-620	213	2	.	.	PROPN
ap-620	213	3	dr	dr	PROPN
ap-620	213	4	.	.	PROPN
ap-620	213	5	ing	ing	PROPN
ap-620	213	6	.	.	PUNCT
ap-620	214	1	daniel	daniel	PROPN
ap-620	214	2	rypl	rypl	PROPN
ap-620	214	3	phone	phone	PROPN
ap-620	214	4	:	:	PUNCT
ap-620	214	5	+420	+420	NUM
ap-620	214	6	224354369	224354369	NUM
ap-620	214	7	fax	fax	NOUN
ap-620	214	8	:	:	PUNCT
ap-620	214	9	+420	+420	PROPN
ap-620	214	10	224	224	NUM
ap-620	214	11	310	310	NUM
ap-620	214	12	775	775	NUM
ap-620	214	13	e	e	NOUN
ap-620	214	14	-	-	NOUN
ap-620	214	15	mail	mail	NOUN
ap-620	214	16	:	:	PUNCT
ap-620	214	17	drypl@fsv.cvut.cz	drypl@fsv.cvut.cz	PROPN
ap-620	214	18	prof	prof	PROPN
ap-620	214	19	.	.	PUNCT
ap-620	215	1	ing	ing	PROPN
ap-620	215	2	.	.	PUNCT
ap-620	216	1	zdeněk	zdeněk	PROPN
ap-620	216	2	bittnar	bittnar	PROPN
ap-620	216	3	,	,	PUNCT
ap-620	216	4	drsc	drsc	PROPN
ap-620	216	5	.	.	PUNCT
ap-620	217	1	phone	phone	NOUN
ap-620	217	2	:	:	PUNCT
ap-620	217	3	+420	+420	PROPN
ap-620	217	4	224	224	NUM
ap-620	217	5	353	353	NUM
ap-620	217	6	869	869	NUM
ap-620	217	7	fax	fax	NOUN
ap-620	217	8	:	:	PUNCT
ap-620	217	9	+420	+420	PROPN
ap-620	217	10	224	224	NUM
ap-620	217	11	310	310	NUM
ap-620	217	12	775	775	NUM
ap-620	217	13	e	e	NOUN
ap-620	217	14	-	-	NOUN
ap-620	217	15	mail	mail	NOUN
ap-620	217	16	:	:	PUNCT
ap-620	217	17	bittnar@fsv.cvut.cz	bittnar@fsv.cvut.cz	PROPN
ap-620	217	18	department	department	PROPN
ap-620	217	19	of	of	ADP
ap-620	217	20	structural	structural	ADJ
ap-620	217	21	mechanics	mechanic	NOUN
ap-620	217	22	czech	czech	PROPN
ap-620	217	23	technical	technical	PROPN
ap-620	217	24	university	university	PROPN
ap-620	217	25	in	in	ADP
ap-620	217	26	prague	prague	PROPN
ap-620	217	27	faculty	faculty	NOUN
ap-620	217	28	of	of	ADP
ap-620	217	29	civil	civil	ADJ
ap-620	217	30	engineering	engineering	NOUN
ap-620	217	31	thákurova	thákurova	VERB
ap-620	217	32	7	7	NUM
ap-620	217	33	166	166	NUM
ap-620	217	34	29	29	NUM
ap-620	217	35	prague	prague	NOUN
ap-620	217	36	6	6	NUM
ap-620	217	37	,	,	PUNCT
ap-620	217	38	czech	czech	PROPN
ap-620	217	39	republic	republic	NOUN
ap-620	217	40	©	©	PROPN
ap-620	217	41	czech	czech	PROPN
ap-620	217	42	technical	technical	PROPN
ap-620	217	43	university	university	PROPN
ap-620	217	44	publishing	publishing	NOUN
ap-620	217	45	house	house	NOUN
ap-620	217	46	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-620	217	47	67	67	NUM
ap-620	217	48	acta	acta	PROPN
ap-620	217	49	polytechnica	polytechnica	PROPN
ap-620	217	50	vol	vol	NOUN
ap-620	217	51	.	.	PROPN
ap-620	218	1	44	44	NUM
ap-620	218	2	no	no	NOUN
ap-620	218	3	.	.	PUNCT
ap-620	219	1	5–6/2004	5–6/2004	NUM