id	sid	tid	token	lemma	pos
79407w65g5r	1	1	many	many	ADJ
79407w65g5r	1	2	problems	problem	NOUN
79407w65g5r	1	3	in	in	ADP
79407w65g5r	1	4	computer	computer	NOUN
79407w65g5r	1	5	vision	vision	NOUN
79407w65g5r	1	6	and	and	CCONJ
79407w65g5r	1	7	engineering	engineering	NOUN
79407w65g5r	1	8	can	can	AUX
79407w65g5r	1	9	be	be	AUX
79407w65g5r	1	10	formulated	formulate	VERB
79407w65g5r	1	11	using	use	VERB
79407w65g5r	1	12	a	a	DET
79407w65g5r	1	13	parameterized	parameterize	VERB
79407w65g5r	1	14	system	system	NOUN
79407w65g5r	1	15	of	of	ADP
79407w65g5r	1	16	polynomials	polynomial	NOUN
79407w65g5r	1	17	which	which	PRON
79407w65g5r	1	18	must	must	AUX
79407w65g5r	1	19	be	be	AUX
79407w65g5r	1	20	solved	solve	VERB
79407w65g5r	1	21	for	for	ADP
79407w65g5r	1	22	given	give	VERB
79407w65g5r	1	23	instances	instance	NOUN
79407w65g5r	1	24	of	of	ADP
79407w65g5r	1	25	the	the	DET
79407w65g5r	1	26	parameters	parameter	NOUN
79407w65g5r	1	27	.	.	PUNCT
79407w65g5r	2	1	solutions	solution	NOUN
79407w65g5r	2	2	and	and	CCONJ
79407w65g5r	2	3	behavior	behavior	NOUN
79407w65g5r	2	4	over	over	ADP
79407w65g5r	2	5	the	the	DET
79407w65g5r	2	6	real	real	ADJ
79407w65g5r	2	7	numbers	number	NOUN
79407w65g5r	2	8	are	be	AUX
79407w65g5r	2	9	those	those	PRON
79407w65g5r	2	10	that	that	PRON
79407w65g5r	2	11	provide	provide	VERB
79407w65g5r	2	12	meaningful	meaningful	ADJ
79407w65g5r	2	13	information	information	NOUN
79407w65g5r	2	14	for	for	ADP
79407w65g5r	2	15	these	these	DET
79407w65g5r	2	16	applications	application	NOUN
79407w65g5r	2	17	.	.	PUNCT
79407w65g5r	3	1	by	by	ADP
79407w65g5r	3	2	using	use	VERB
79407w65g5r	3	3	homotopy	homotopy	NOUN
79407w65g5r	3	4	continuation	continuation	NOUN
79407w65g5r	3	5	within	within	ADP
79407w65g5r	3	6	numerical	numerical	ADJ
79407w65g5r	3	7	algebraic	algebraic	ADJ
79407w65g5r	3	8	geometry	geometry	NOUN
79407w65g5r	3	9	,	,	PUNCT
79407w65g5r	3	10	one	one	PRON
79407w65g5r	3	11	can	can	AUX
79407w65g5r	3	12	solve	solve	VERB
79407w65g5r	3	13	these	these	DET
79407w65g5r	3	14	parameterized	parameterize	VERB
79407w65g5r	3	15	polynomial	polynomial	ADJ
79407w65g5r	3	16	systems	system	NOUN
79407w65g5r	3	17	.	.	PUNCT
79407w65g5r	4	1	first	first	ADV
79407w65g5r	4	2	,	,	PUNCT
79407w65g5r	4	3	we	we	PRON
79407w65g5r	4	4	propose	propose	VERB
79407w65g5r	4	5	a	a	DET
79407w65g5r	4	6	new	new	ADJ
79407w65g5r	4	7	approach	approach	NOUN
79407w65g5r	4	8	which	which	PRON
79407w65g5r	4	9	uses	use	VERB
79407w65g5r	4	10	locally	locally	ADV
79407w65g5r	4	11	adaptive	adaptive	ADJ
79407w65g5r	4	12	methods	method	NOUN
79407w65g5r	4	13	and	and	CCONJ
79407w65g5r	4	14	sparse	sparse	ADJ
79407w65g5r	4	15	matrix	matrix	NOUN
79407w65g5r	4	16	calculations	calculation	NOUN
79407w65g5r	4	17	to	to	PART
79407w65g5r	4	18	solve	solve	VERB
79407w65g5r	4	19	parameterized	parameterize	VERB
79407w65g5r	4	20	overdetermined	overdetermine	VERB
79407w65g5r	4	21	systems	system	NOUN
79407w65g5r	4	22	in	in	ADP
79407w65g5r	4	23	projective	projective	ADJ
79407w65g5r	4	24	space	space	NOUN
79407w65g5r	4	25	.	.	PUNCT
79407w65g5r	5	1	examples	example	NOUN
79407w65g5r	5	2	are	be	AUX
79407w65g5r	5	3	provided	provide	VERB
79407w65g5r	5	4	in	in	ADP
79407w65g5r	5	5	2d	2d	PART
79407w65g5r	5	6	image	image	NOUN
79407w65g5r	5	7	reconstruction	reconstruction	NOUN
79407w65g5r	5	8	to	to	PART
79407w65g5r	5	9	compare	compare	VERB
79407w65g5r	5	10	the	the	DET
79407w65g5r	5	11	new	new	ADJ
79407w65g5r	5	12	methods	method	NOUN
79407w65g5r	5	13	with	with	ADP
79407w65g5r	5	14	traditional	traditional	ADJ
79407w65g5r	5	15	approaches	approach	NOUN
79407w65g5r	5	16	in	in	ADP
79407w65g5r	5	17	numerical	numerical	ADJ
79407w65g5r	5	18	algebraic	algebraic	ADJ
79407w65g5r	5	19	geometry	geometry	NOUN
79407w65g5r	5	20	.	.	PUNCT
79407w65g5r	6	1	second	second	ADV
79407w65g5r	6	2	,	,	PUNCT
79407w65g5r	6	3	we	we	PRON
79407w65g5r	6	4	discuss	discuss	VERB
79407w65g5r	6	5	new	new	ADJ
79407w65g5r	6	6	homotopy	homotopy	NOUN
79407w65g5r	6	7	continuation	continuation	NOUN
79407w65g5r	6	8	methods	method	NOUN
79407w65g5r	6	9	for	for	ADP
79407w65g5r	6	10	solving	solve	VERB
79407w65g5r	6	11	two	two	NUM
79407w65g5r	6	12	minimal	minimal	ADJ
79407w65g5r	6	13	trifocal	trifocal	ADV
79407w65g5r	6	14	calibrated	calibrate	VERB
79407w65g5r	6	15	relative	relative	ADJ
79407w65g5r	6	16	pose	pose	NOUN
79407w65g5r	6	17	problems	problem	NOUN
79407w65g5r	6	18	defined	define	VERB
79407w65g5r	6	19	by	by	ADP
79407w65g5r	6	20	point	point	NOUN
79407w65g5r	6	21	and	and	CCONJ
79407w65g5r	6	22	line	line	NOUN
79407w65g5r	6	23	correspondences	correspondence	NOUN
79407w65g5r	6	24	,	,	PUNCT
79407w65g5r	6	25	which	which	PRON
79407w65g5r	6	26	appear	appear	VERB
79407w65g5r	6	27	together	together	ADV
79407w65g5r	6	28	,	,	PUNCT
79407w65g5r	6	29	e.g.	e.g.	ADV
79407w65g5r	6	30	,	,	PUNCT
79407w65g5r	6	31	in	in	ADP
79407w65g5r	6	32	urban	urban	ADJ
79407w65g5r	6	33	scenes	scene	NOUN
79407w65g5r	6	34	or	or	CCONJ
79407w65g5r	6	35	observing	observe	VERB
79407w65g5r	6	36	curves	curve	NOUN
79407w65g5r	6	37	.	.	PUNCT
79407w65g5r	7	1	experiments	experiment	NOUN
79407w65g5r	7	2	are	be	AUX
79407w65g5r	7	3	shown	show	VERB
79407w65g5r	7	4	using	use	VERB
79407w65g5r	7	5	real	real	ADJ
79407w65g5r	7	6	and	and	CCONJ
79407w65g5r	7	7	synthetic	synthetic	ADJ
79407w65g5r	7	8	data	datum	NOUN
79407w65g5r	7	9	to	to	PART
79407w65g5r	7	10	demonstrate	demonstrate	VERB
79407w65g5r	7	11	that	that	SCONJ
79407w65g5r	7	12	challenging	challenging	ADJ
79407w65g5r	7	13	scenes	scene	NOUN
79407w65g5r	7	14	can	can	AUX
79407w65g5r	7	15	be	be	AUX
79407w65g5r	7	16	reconstructed	reconstruct	VERB
79407w65g5r	7	17	where	where	SCONJ
79407w65g5r	7	18	standard	standard	ADJ
79407w65g5r	7	19	methods	method	NOUN
79407w65g5r	7	20	fail	fail	VERB
79407w65g5r	7	21	.	.	PUNCT
79407w65g5r	8	1	third	third	ADJ
79407w65g5r	8	2	,	,	PUNCT
79407w65g5r	8	3	we	we	PRON
79407w65g5r	8	4	present	present	VERB
79407w65g5r	8	5	a	a	DET
79407w65g5r	8	6	new	new	ADJ
79407w65g5r	8	7	definition	definition	NOUN
79407w65g5r	8	8	of	of	ADP
79407w65g5r	8	9	monodromy	monodromy	ADJ
79407w65g5r	8	10	action	action	NOUN
79407w65g5r	8	11	over	over	ADP
79407w65g5r	8	12	the	the	DET
79407w65g5r	8	13	real	real	ADJ
79407w65g5r	8	14	numbers	number	NOUN
79407w65g5r	8	15	which	which	PRON
79407w65g5r	8	16	encodes	encode	VERB
79407w65g5r	8	17	tiered	tiered	ADJ
79407w65g5r	8	18	characteristics	characteristic	NOUN
79407w65g5r	8	19	regarding	regard	VERB
79407w65g5r	8	20	real	real	ADJ
79407w65g5r	8	21	solutions	solution	NOUN
79407w65g5r	8	22	.	.	PUNCT
79407w65g5r	9	1	examples	example	NOUN
79407w65g5r	9	2	are	be	AUX
79407w65g5r	9	3	given	give	VERB
79407w65g5r	9	4	to	to	PART
79407w65g5r	9	5	show	show	VERB
79407w65g5r	9	6	the	the	DET
79407w65g5r	9	7	benefits	benefit	NOUN
79407w65g5r	9	8	of	of	ADP
79407w65g5r	9	9	this	this	DET
79407w65g5r	9	10	definition	definition	NOUN
79407w65g5r	9	11	over	over	ADP
79407w65g5r	9	12	a	a	DET
79407w65g5r	9	13	naive	naive	ADJ
79407w65g5r	9	14	extension	extension	NOUN
79407w65g5r	9	15	of	of	ADP
79407w65g5r	9	16	the	the	DET
79407w65g5r	9	17	monodromy	monodromy	PROPN
79407w65g5r	9	18	group	group	NOUN
79407w65g5r	9	19	(	(	PUNCT
79407w65g5r	9	20	over	over	ADP
79407w65g5r	9	21	the	the	DET
79407w65g5r	9	22	complex	complex	ADJ
79407w65g5r	9	23	numbers	number	NOUN
79407w65g5r	9	24	)	)	PUNCT
79407w65g5r	9	25	.	.	PUNCT
79407w65g5r	10	1	in	in	ADP
79407w65g5r	10	2	addition	addition	NOUN
79407w65g5r	10	3	,	,	PUNCT
79407w65g5r	10	4	an	an	DET
79407w65g5r	10	5	application	application	NOUN
79407w65g5r	10	6	in	in	ADP
79407w65g5r	10	7	kinematics	kinematic	NOUN
79407w65g5r	10	8	is	be	AUX
79407w65g5r	10	9	discussed	discuss	VERB
79407w65g5r	10	10	to	to	PART
79407w65g5r	10	11	highlight	highlight	VERB
79407w65g5r	10	12	the	the	DET
79407w65g5r	10	13	computational	computational	ADJ
79407w65g5r	10	14	method	method	NOUN
79407w65g5r	10	15	and	and	CCONJ
79407w65g5r	10	16	impact	impact	NOUN
79407w65g5r	10	17	on	on	ADP
79407w65g5r	10	18	calibration	calibration	NOUN
79407w65g5r	10	19	.	.	PUNCT