id	sid	tid	token	lemma	pos
ap-1674	1	1	acta	acta	PROPN
ap-1674	1	2	polytechnica	polytechnica	PROPN
ap-1674	1	3	vol	vol	NOUN
ap-1674	1	4	.	.	PROPN
ap-1674	2	1	52	52	NUM
ap-1674	2	2	no	no	NOUN
ap-1674	2	3	.	.	PUNCT
ap-1674	3	1	6/2012	6/2012	NUM
ap-1674	3	2	geometrical	geometrical	ADJ
ap-1674	3	3	modeling	modeling	NOUN
ap-1674	3	4	of	of	ADP
ap-1674	3	5	concrete	concrete	ADJ
ap-1674	3	6	microstructure	microstructure	NOUN
ap-1674	3	7	for	for	ADP
ap-1674	3	8	the	the	DET
ap-1674	3	9	assessment	assessment	NOUN
ap-1674	3	10	of	of	ADP
ap-1674	3	11	itz	itz	PROPN
ap-1674	3	12	percolation	percolation	PROPN
ap-1674	3	13	daniel	daniel	PROPN
ap-1674	3	14	rypl1	rypl1	PROPN
ap-1674	3	15	,	,	PUNCT
ap-1674	3	16	tomáš	tomáš	ADP
ap-1674	3	17	bým2	bým2	PROPN
ap-1674	3	18	1department	1department	NUM
ap-1674	3	19	of	of	ADP
ap-1674	3	20	mechanics	mechanic	NOUN
ap-1674	3	21	,	,	PUNCT
ap-1674	3	22	faculty	faculty	NOUN
ap-1674	3	23	of	of	ADP
ap-1674	3	24	civil	civil	ADJ
ap-1674	3	25	engineering	engineering	NOUN
ap-1674	3	26	,	,	PUNCT
ap-1674	3	27	czech	czech	PROPN
ap-1674	3	28	technical	technical	PROPN
ap-1674	3	29	university	university	PROPN
ap-1674	3	30	in	in	ADP
ap-1674	3	31	prague	prague	PROPN
ap-1674	3	32	,	,	PUNCT
ap-1674	3	33	thákurova	thákurova	PROPN
ap-1674	3	34	7	7	NUM
ap-1674	3	35	,	,	PUNCT
ap-1674	3	36	166	166	NUM
ap-1674	3	37	29	29	NUM
ap-1674	3	38	prague	prague	NOUN
ap-1674	3	39	,	,	PUNCT
ap-1674	3	40	czech	czech	PROPN
ap-1674	3	41	republic	republic	NOUN
ap-1674	3	42	2golder	2golder	NUM
ap-1674	3	43	associates	associates	PROPN
ap-1674	3	44	ab	ab	PROPN
ap-1674	3	45	,	,	PUNCT
ap-1674	3	46	östgötagatan	östgötagatan	PROPN
ap-1674	3	47	12	12	NUM
ap-1674	3	48	,	,	PUNCT
ap-1674	3	49	116	116	NUM
ap-1674	3	50	25	25	NUM
ap-1674	3	51	stockholm	stockholm	PROPN
ap-1674	3	52	,	,	PUNCT
ap-1674	3	53	sweden	sweden	PROPN
ap-1674	3	54	corresponding	corresponding	ADJ
ap-1674	3	55	author	author	NOUN
ap-1674	3	56	:	:	PUNCT
ap-1674	3	57	drypl@fsv.cvut.cz	drypl@fsv.cvut.cz	NOUN
ap-1674	3	58	abstract	abstract	ADJ
ap-1674	3	59	percolation	percolation	NOUN
ap-1674	3	60	is	be	AUX
ap-1674	3	61	considered	consider	VERB
ap-1674	3	62	to	to	PART
ap-1674	3	63	be	be	AUX
ap-1674	3	64	a	a	DET
ap-1674	3	65	critical	critical	ADJ
ap-1674	3	66	factor	factor	NOUN
ap-1674	3	67	affecting	affect	VERB
ap-1674	3	68	the	the	DET
ap-1674	3	69	transport	transport	NOUN
ap-1674	3	70	properties	property	NOUN
ap-1674	3	71	of	of	ADP
ap-1674	3	72	multiphase	multiphase	NOUN
ap-1674	3	73	materials	material	NOUN
ap-1674	3	74	.	.	PUNCT
ap-1674	4	1	in	in	ADP
ap-1674	4	2	the	the	DET
ap-1674	4	3	case	case	NOUN
ap-1674	4	4	of	of	ADP
ap-1674	4	5	concrete	concrete	NOUN
ap-1674	4	6	,	,	PUNCT
ap-1674	4	7	the	the	DET
ap-1674	4	8	transport	transport	NOUN
ap-1674	4	9	properties	property	NOUN
ap-1674	4	10	are	be	AUX
ap-1674	4	11	strongly	strongly	ADV
ap-1674	4	12	dependent	dependent	ADJ
ap-1674	4	13	on	on	ADP
ap-1674	4	14	the	the	DET
ap-1674	4	15	interfacial	interfacial	ADJ
ap-1674	4	16	transition	transition	NOUN
ap-1674	4	17	zone	zone	NOUN
ap-1674	4	18	(	(	PUNCT
ap-1674	4	19	itz	itz	PROPN
ap-1674	4	20	)	)	PUNCT
ap-1674	4	21	,	,	PUNCT
ap-1674	4	22	which	which	PRON
ap-1674	4	23	is	be	AUX
ap-1674	4	24	a	a	DET
ap-1674	4	25	thin	thin	ADJ
ap-1674	4	26	layer	layer	NOUN
ap-1674	4	27	of	of	ADP
ap-1674	4	28	cement	cement	NOUN
ap-1674	4	29	paste	paste	NOUN
ap-1674	4	30	next	next	ADV
ap-1674	4	31	to	to	PART
ap-1674	4	32	aggregate	aggregate	VERB
ap-1674	4	33	particles	particle	NOUN
ap-1674	4	34	.	.	PUNCT
ap-1674	5	1	it	it	PRON
ap-1674	5	2	is	be	AUX
ap-1674	5	3	not	not	PART
ap-1674	5	4	computationally	computationally	ADV
ap-1674	5	5	simple	simple	ADJ
ap-1674	5	6	to	to	PART
ap-1674	5	7	assess	assess	VERB
ap-1674	5	8	itz	itz	PROPN
ap-1674	5	9	percolation	percolation	NOUN
ap-1674	5	10	in	in	ADP
ap-1674	5	11	concrete	concrete	NOUN
ap-1674	5	12	,	,	PUNCT
ap-1674	5	13	as	as	SCONJ
ap-1674	5	14	the	the	DET
ap-1674	5	15	geometry	geometry	NOUN
ap-1674	5	16	and	and	CCONJ
ap-1674	5	17	topology	topology	NOUN
ap-1674	5	18	of	of	ADP
ap-1674	5	19	this	this	DET
ap-1674	5	20	phase	phase	NOUN
ap-1674	5	21	is	be	AUX
ap-1674	5	22	complex	complex	ADJ
ap-1674	5	23	.	.	PUNCT
ap-1674	6	1	while	while	SCONJ
ap-1674	6	2	there	there	PRON
ap-1674	6	3	are	be	VERB
ap-1674	6	4	many	many	ADJ
ap-1674	6	5	advanced	advanced	ADJ
ap-1674	6	6	models	model	NOUN
ap-1674	6	7	that	that	PRON
ap-1674	6	8	analyze	analyze	VERB
ap-1674	6	9	the	the	DET
ap-1674	6	10	behavior	behavior	NOUN
ap-1674	6	11	of	of	ADP
ap-1674	6	12	concrete	concrete	NOUN
ap-1674	6	13	,	,	PUNCT
ap-1674	6	14	they	they	PRON
ap-1674	6	15	are	be	AUX
ap-1674	6	16	mostly	mostly	ADV
ap-1674	6	17	based	base	VERB
ap-1674	6	18	on	on	ADP
ap-1674	6	19	the	the	DET
ap-1674	6	20	use	use	NOUN
ap-1674	6	21	of	of	ADP
ap-1674	6	22	spherical	spherical	ADJ
ap-1674	6	23	or	or	CCONJ
ap-1674	6	24	ellipsoidal	ellipsoidal	ADJ
ap-1674	6	25	shapes	shape	NOUN
ap-1674	6	26	for	for	ADP
ap-1674	6	27	the	the	DET
ap-1674	6	28	geometry	geometry	NOUN
ap-1674	6	29	of	of	ADP
ap-1674	6	30	the	the	DET
ap-1674	6	31	aggregate	aggregate	ADJ
ap-1674	6	32	inclusions	inclusion	NOUN
ap-1674	6	33	.	.	PUNCT
ap-1674	7	1	these	these	DET
ap-1674	7	2	simplified	simplify	VERB
ap-1674	7	3	shapes	shape	NOUN
ap-1674	7	4	may	may	AUX
ap-1674	7	5	become	become	VERB
ap-1674	7	6	unsatisfactory	unsatisfactory	ADJ
ap-1674	7	7	in	in	ADP
ap-1674	7	8	many	many	ADJ
ap-1674	7	9	simulations	simulation	NOUN
ap-1674	7	10	,	,	PUNCT
ap-1674	7	11	including	include	VERB
ap-1674	7	12	the	the	DET
ap-1674	7	13	assessment	assessment	NOUN
ap-1674	7	14	of	of	ADP
ap-1674	7	15	itz	itz	PROPN
ap-1674	7	16	percolation	percolation	NOUN
ap-1674	7	17	.	.	PUNCT
ap-1674	8	1	this	this	DET
ap-1674	8	2	paper	paper	NOUN
ap-1674	8	3	deals	deal	NOUN
ap-1674	8	4	with	with	ADP
ap-1674	8	5	geometrical	geometrical	ADJ
ap-1674	8	6	modeling	modeling	NOUN
ap-1674	8	7	of	of	ADP
ap-1674	8	8	the	the	DET
ap-1674	8	9	concrete	concrete	ADJ
ap-1674	8	10	microstructure	microstructure	NOUN
ap-1674	8	11	using	use	VERB
ap-1674	8	12	realistic	realistic	ADJ
ap-1674	8	13	shapes	shape	NOUN
ap-1674	8	14	of	of	ADP
ap-1674	8	15	aggregate	aggregate	ADJ
ap-1674	8	16	particles	particle	NOUN
ap-1674	8	17	,	,	PUNCT
ap-1674	8	18	the	the	DET
ap-1674	8	19	geometry	geometry	NOUN
ap-1674	8	20	of	of	ADP
ap-1674	8	21	which	which	PRON
ap-1674	8	22	is	be	AUX
ap-1674	8	23	represented	represent	VERB
ap-1674	8	24	in	in	ADP
ap-1674	8	25	terms	term	NOUN
ap-1674	8	26	of	of	ADP
ap-1674	8	27	spherical	spherical	ADJ
ap-1674	8	28	harmonic	harmonic	ADJ
ap-1674	8	29	expansion	expansion	NOUN
ap-1674	8	30	.	.	PUNCT
ap-1674	9	1	the	the	DET
ap-1674	9	2	percolation	percolation	NOUN
ap-1674	9	3	is	be	AUX
ap-1674	9	4	assessed	assess	VERB
ap-1674	9	5	using	use	VERB
ap-1674	9	6	the	the	DET
ap-1674	9	7	hard	hard	ADJ
ap-1674	9	8	core	core	NOUN
ap-1674	9	9	–	–	PUNCT
ap-1674	9	10	soft	soft	ADJ
ap-1674	9	11	shell	shell	NOUN
ap-1674	9	12	model	model	NOUN
ap-1674	9	13	,	,	PUNCT
ap-1674	9	14	in	in	ADP
ap-1674	9	15	which	which	PRON
ap-1674	9	16	each	each	DET
ap-1674	9	17	randomly	randomly	ADV
ap-1674	9	18	-	-	PUNCT
ap-1674	9	19	placed	place	VERB
ap-1674	9	20	aggregate	aggregate	ADJ
ap-1674	9	21	particle	particle	NOUN
ap-1674	9	22	is	be	AUX
ap-1674	9	23	surrounded	surround	VERB
ap-1674	9	24	by	by	ADP
ap-1674	9	25	a	a	DET
ap-1674	9	26	shell	shell	NOUN
ap-1674	9	27	of	of	ADP
ap-1674	9	28	constant	constant	ADJ
ap-1674	9	29	thickness	thickness	NOUN
ap-1674	9	30	representing	represent	VERB
ap-1674	9	31	itz	itz	PROPN
ap-1674	9	32	.	.	PUNCT
ap-1674	10	1	keywords	keyword	NOUN
ap-1674	10	2	:	:	PUNCT
ap-1674	10	3	percolation	percolation	NOUN
ap-1674	10	4	,	,	PUNCT
ap-1674	10	5	concrete	concrete	NOUN
ap-1674	10	6	,	,	PUNCT
ap-1674	10	7	interfacial	interfacial	ADJ
ap-1674	10	8	transition	transition	NOUN
ap-1674	10	9	zone	zone	NOUN
ap-1674	10	10	,	,	PUNCT
ap-1674	10	11	aggregates	aggregate	NOUN
ap-1674	10	12	,	,	PUNCT
ap-1674	10	13	hard	hard	ADJ
ap-1674	10	14	core	core	NOUN
ap-1674	10	15	–	–	PUNCT
ap-1674	10	16	soft	soft	ADJ
ap-1674	10	17	shell	shell	NOUN
ap-1674	10	18	,	,	PUNCT
ap-1674	10	19	spherical	spherical	ADJ
ap-1674	10	20	harmonic	harmonic	ADJ
ap-1674	10	21	analysis	analysis	NOUN
ap-1674	10	22	.	.	PUNCT
ap-1674	11	1	1	1	NUM
ap-1674	11	2	introduction	introduction	NOUN
ap-1674	11	3	concrete	concrete	NOUN
ap-1674	11	4	is	be	AUX
ap-1674	11	5	nowadays	nowadays	ADV
ap-1674	11	6	a	a	DET
ap-1674	11	7	modern	modern	ADJ
ap-1674	11	8	composite	composite	ADJ
ap-1674	11	9	material	material	NOUN
ap-1674	11	10	.	.	PUNCT
ap-1674	12	1	it	it	PRON
ap-1674	12	2	is	be	AUX
ap-1674	12	3	a	a	DET
ap-1674	12	4	multiscale	multiscale	ADJ
ap-1674	12	5	material	material	NOUN
ap-1674	12	6	with	with	ADP
ap-1674	12	7	length	length	NOUN
ap-1674	12	8	scales	scale	NOUN
ap-1674	12	9	from	from	ADP
ap-1674	12	10	nanometers	nanometer	NOUN
ap-1674	12	11	(	(	PUNCT
ap-1674	12	12	c	c	X
ap-1674	12	13	-	-	PUNCT
ap-1674	12	14	s	s	NOUN
ap-1674	12	15	-	-	NOUN
ap-1674	12	16	h	h	NOUN
ap-1674	12	17	)	)	PUNCT
ap-1674	12	18	,	,	PUNCT
ap-1674	12	19	via	via	ADP
ap-1674	12	20	micrometers	micrometer	NOUN
ap-1674	12	21	(	(	PUNCT
ap-1674	12	22	cement	cement	NOUN
ap-1674	12	23	paste	paste	NOUN
ap-1674	12	24	)	)	PUNCT
ap-1674	12	25	to	to	ADP
ap-1674	12	26	millimeters	millimeter	NOUN
ap-1674	12	27	(	(	PUNCT
ap-1674	12	28	mortar	mortar	NOUN
ap-1674	12	29	and	and	CCONJ
ap-1674	12	30	concrete	concrete	NOUN
ap-1674	12	31	)	)	PUNCT
ap-1674	12	32	.	.	PUNCT
ap-1674	13	1	it	it	PRON
ap-1674	13	2	is	be	AUX
ap-1674	13	3	a	a	DET
ap-1674	13	4	different	different	ADJ
ap-1674	13	5	random	random	ADJ
ap-1674	13	6	composite	composite	NOUN
ap-1674	13	7	at	at	ADP
ap-1674	13	8	each	each	DET
ap-1674	13	9	length	length	NOUN
ap-1674	13	10	scale	scale	NOUN
ap-1674	13	11	.	.	PUNCT
ap-1674	14	1	thus	thus	ADV
ap-1674	14	2	the	the	DET
ap-1674	14	3	range	range	NOUN
ap-1674	14	4	of	of	ADP
ap-1674	14	5	the	the	DET
ap-1674	14	6	microstructure	microstructure	NOUN
ap-1674	14	7	of	of	ADP
ap-1674	14	8	concrete	concrete	ADJ
ap-1674	14	9	spans	span	NOUN
ap-1674	14	10	nine	nine	NUM
ap-1674	14	11	orders	order	NOUN
ap-1674	14	12	of	of	ADP
ap-1674	14	13	magnitude	magnitude	NOUN
ap-1674	14	14	.	.	PUNCT
ap-1674	15	1	it	it	PRON
ap-1674	15	2	is	be	AUX
ap-1674	15	3	therefore	therefore	ADV
ap-1674	15	4	a	a	DET
ap-1674	15	5	large	large	ADJ
ap-1674	15	6	and	and	CCONJ
ap-1674	15	7	difficult	difficult	ADJ
ap-1674	15	8	task	task	NOUN
ap-1674	15	9	to	to	PART
ap-1674	15	10	try	try	VERB
ap-1674	15	11	to	to	PART
ap-1674	15	12	relate	relate	VERB
ap-1674	15	13	the	the	DET
ap-1674	15	14	microstructure	microstructure	NOUN
ap-1674	15	15	and	and	CCONJ
ap-1674	15	16	the	the	DET
ap-1674	15	17	properties	property	NOUN
ap-1674	15	18	of	of	ADP
ap-1674	15	19	concrete	concrete	NOUN
ap-1674	15	20	theoretically	theoretically	ADV
ap-1674	15	21	.	.	PUNCT
ap-1674	16	1	a	a	DET
ap-1674	16	2	possible	possible	ADJ
ap-1674	16	3	way	way	NOUN
ap-1674	16	4	to	to	PART
ap-1674	16	5	relate	relate	VERB
ap-1674	16	6	several	several	ADJ
ap-1674	16	7	material	material	NOUN
ap-1674	16	8	properties	property	NOUN
ap-1674	16	9	to	to	ADP
ap-1674	16	10	the	the	DET
ap-1674	16	11	microstructure	microstructure	NOUN
ap-1674	16	12	of	of	ADP
ap-1674	16	13	the	the	DET
ap-1674	16	14	material	material	NOUN
ap-1674	16	15	are	be	AUX
ap-1674	16	16	based	base	VERB
ap-1674	16	17	on	on	ADP
ap-1674	16	18	percolation	percolation	NOUN
ap-1674	16	19	theory	theory	NOUN
ap-1674	16	20	[	[	X
ap-1674	16	21	1	1	NUM
ap-1674	16	22	,	,	PUNCT
ap-1674	16	23	2	2	NUM
ap-1674	16	24	]	]	PUNCT
ap-1674	16	25	.	.	PUNCT
ap-1674	17	1	percolation	percolation	NOUN
ap-1674	17	2	theory	theory	NOUN
ap-1674	17	3	is	be	AUX
ap-1674	17	4	using	use	VERB
ap-1674	17	5	the	the	DET
ap-1674	17	6	idea	idea	NOUN
ap-1674	17	7	of	of	ADP
ap-1674	17	8	connectivity	connectivity	NOUN
ap-1674	17	9	.	.	PUNCT
ap-1674	18	1	the	the	DET
ap-1674	18	2	percolation	percolation	NOUN
ap-1674	18	3	threshold	threshold	NOUN
ap-1674	18	4	denotes	denote	VERB
ap-1674	18	5	the	the	DET
ap-1674	18	6	volume	volume	NOUN
ap-1674	18	7	fraction	fraction	NOUN
ap-1674	18	8	of	of	ADP
ap-1674	18	9	a	a	DET
ap-1674	18	10	particular	particular	ADJ
ap-1674	18	11	phase	phase	NOUN
ap-1674	18	12	of	of	ADP
ap-1674	18	13	a	a	DET
ap-1674	18	14	composite	composite	ADJ
ap-1674	18	15	material	material	NOUN
ap-1674	18	16	at	at	ADP
ap-1674	18	17	which	which	PRON
ap-1674	18	18	that	that	DET
ap-1674	18	19	phase	phase	NOUN
ap-1674	18	20	goes	go	VERB
ap-1674	18	21	from	from	ADP
ap-1674	18	22	being	be	AUX
ap-1674	18	23	disconnected	disconnect	VERB
ap-1674	18	24	to	to	ADP
ap-1674	18	25	being	be	AUX
ap-1674	18	26	connected	connect	VERB
ap-1674	18	27	(	(	PUNCT
ap-1674	18	28	or	or	CCONJ
ap-1674	18	29	vice	vice	NOUN
ap-1674	18	30	versa	versa	ADV
ap-1674	18	31	)	)	PUNCT
ap-1674	18	32	,	,	PUNCT
ap-1674	18	33	so	so	SCONJ
ap-1674	18	34	that	that	SCONJ
ap-1674	18	35	there	there	PRON
ap-1674	18	36	is	be	VERB
ap-1674	18	37	a	a	DET
ap-1674	18	38	change	change	NOUN
ap-1674	18	39	in	in	ADP
ap-1674	18	40	the	the	DET
ap-1674	18	41	topology	topology	NOUN
ap-1674	18	42	of	of	ADP
ap-1674	18	43	the	the	DET
ap-1674	18	44	microstructure	microstructure	NOUN
ap-1674	18	45	.	.	PUNCT
ap-1674	19	1	percolation	percolation	NOUN
ap-1674	19	2	properties	property	NOUN
ap-1674	19	3	are	be	AUX
ap-1674	19	4	now	now	ADV
ap-1674	19	5	more	more	ADV
ap-1674	19	6	or	or	CCONJ
ap-1674	19	7	less	less	ADV
ap-1674	19	8	commonly	commonly	ADV
ap-1674	19	9	accepted	accept	VERB
ap-1674	19	10	as	as	ADP
ap-1674	19	11	the	the	DET
ap-1674	19	12	critical	critical	ADJ
ap-1674	19	13	geometrical	geometrical	ADJ
ap-1674	19	14	and	and	CCONJ
ap-1674	19	15	topological	topological	ADJ
ap-1674	19	16	factors	factor	NOUN
ap-1674	19	17	influencing	influence	VERB
ap-1674	19	18	the	the	DET
ap-1674	19	19	transport	transport	NOUN
ap-1674	19	20	properties	property	NOUN
ap-1674	19	21	of	of	ADP
ap-1674	19	22	multiphase	multiphase	NOUN
ap-1674	19	23	materials	material	NOUN
ap-1674	19	24	(	(	PUNCT
ap-1674	19	25	e.g.	e.g.	ADV
ap-1674	19	26	ionic	ionic	ADJ
ap-1674	19	27	diffusivity	diffusivity	NOUN
ap-1674	19	28	,	,	PUNCT
ap-1674	19	29	electric	electric	ADJ
ap-1674	19	30	or	or	CCONJ
ap-1674	19	31	thermal	thermal	ADJ
ap-1674	19	32	conductivity	conductivity	NOUN
ap-1674	19	33	)	)	PUNCT
ap-1674	20	1	[	[	X
ap-1674	20	2	3	3	NUM
ap-1674	20	3	,	,	PUNCT
ap-1674	20	4	4	4	NUM
ap-1674	20	5	,	,	PUNCT
ap-1674	20	6	5	5	NUM
ap-1674	20	7	]	]	PUNCT
ap-1674	20	8	.	.	PUNCT
ap-1674	21	1	moreover	moreover	ADV
ap-1674	21	2	,	,	PUNCT
ap-1674	21	3	in	in	ADP
ap-1674	21	4	many	many	ADJ
ap-1674	21	5	practical	practical	ADJ
ap-1674	21	6	applications	application	NOUN
ap-1674	21	7	the	the	DET
ap-1674	21	8	structure	structure	NOUN
ap-1674	21	9	of	of	ADP
ap-1674	21	10	composite	composite	ADJ
ap-1674	21	11	materials	material	NOUN
ap-1674	21	12	evolves	evolve	VERB
ap-1674	21	13	in	in	ADP
ap-1674	21	14	time	time	NOUN
ap-1674	21	15	,	,	PUNCT
ap-1674	21	16	so	so	SCONJ
ap-1674	21	17	that	that	SCONJ
ap-1674	21	18	the	the	DET
ap-1674	21	19	percolation	percolation	NOUN
ap-1674	21	20	transition	transition	NOUN
ap-1674	21	21	occurs	occur	VERB
ap-1674	21	22	after	after	ADP
ap-1674	21	23	an	an	DET
ap-1674	21	24	ageing	age	VERB
ap-1674	21	25	time	time	NOUN
ap-1674	21	26	(	(	PUNCT
ap-1674	21	27	as	as	SCONJ
ap-1674	21	28	it	it	PRON
ap-1674	21	29	is	be	AUX
ap-1674	21	30	typical	typical	ADJ
ap-1674	21	31	for	for	ADP
ap-1674	21	32	cementbased	cementbase	VERB
ap-1674	21	33	materials	material	NOUN
ap-1674	21	34	and	and	CCONJ
ap-1674	21	35	gels	gel	NOUN
ap-1674	21	36	)	)	PUNCT
ap-1674	21	37	.	.	PUNCT
ap-1674	22	1	these	these	PRON
ap-1674	22	2	are	be	AUX
ap-1674	22	3	very	very	ADV
ap-1674	22	4	important	important	ADJ
ap-1674	22	5	factors	factor	NOUN
ap-1674	22	6	,	,	PUNCT
ap-1674	22	7	because	because	SCONJ
ap-1674	22	8	it	it	PRON
ap-1674	22	9	is	be	AUX
ap-1674	22	10	now	now	ADV
ap-1674	22	11	well	well	ADV
ap-1674	22	12	recognized	recognize	VERB
ap-1674	22	13	that	that	SCONJ
ap-1674	22	14	much	much	ADJ
ap-1674	22	15	of	of	ADP
ap-1674	22	16	the	the	DET
ap-1674	22	17	deterioration	deterioration	NOUN
ap-1674	22	18	of	of	ADP
ap-1674	22	19	concrete	concrete	NOUN
ap-1674	22	20	in	in	ADP
ap-1674	22	21	infrastructures	infrastructure	NOUN
ap-1674	22	22	is	be	AUX
ap-1674	22	23	caused	cause	VERB
ap-1674	22	24	by	by	ADP
ap-1674	22	25	corrosion	corrosion	NOUN
ap-1674	22	26	of	of	ADP
ap-1674	22	27	the	the	DET
ap-1674	22	28	reinforcing	reinforce	VERB
ap-1674	22	29	bars	bar	NOUN
ap-1674	22	30	due	due	ADP
ap-1674	22	31	to	to	ADP
ap-1674	22	32	a	a	DET
ap-1674	22	33	massive	massive	ADJ
ap-1674	22	34	chloride	chloride	NOUN
ap-1674	22	35	attack	attack	NOUN
ap-1674	22	36	(	(	PUNCT
ap-1674	22	37	or	or	CCONJ
ap-1674	22	38	due	due	ADP
ap-1674	22	39	to	to	ADP
ap-1674	22	40	an	an	DET
ap-1674	22	41	attack	attack	NOUN
ap-1674	22	42	by	by	ADP
ap-1674	22	43	ions	ion	NOUN
ap-1674	22	44	of	of	ADP
ap-1674	22	45	some	some	DET
ap-1674	22	46	other	other	ADJ
ap-1674	22	47	salts	salt	NOUN
ap-1674	22	48	)	)	PUNCT
ap-1674	22	49	.	.	PUNCT
ap-1674	23	1	in	in	ADP
ap-1674	23	2	the	the	DET
ap-1674	23	3	case	case	NOUN
ap-1674	23	4	of	of	ADP
ap-1674	23	5	mortar	mortar	NOUN
ap-1674	23	6	and	and	CCONJ
ap-1674	23	7	concrete	concrete	NOUN
ap-1674	23	8	,	,	PUNCT
ap-1674	23	9	the	the	DET
ap-1674	23	10	transport	transport	NOUN
ap-1674	23	11	properties	property	NOUN
ap-1674	23	12	are	be	AUX
ap-1674	23	13	strongly	strongly	ADV
ap-1674	23	14	dependent	dependent	ADJ
ap-1674	23	15	on	on	ADP
ap-1674	23	16	the	the	DET
ap-1674	23	17	region	region	NOUN
ap-1674	23	18	of	of	ADP
ap-1674	23	19	cement	cement	NOUN
ap-1674	23	20	paste	paste	NOUN
ap-1674	23	21	close	close	ADJ
ap-1674	23	22	to	to	ADP
ap-1674	23	23	the	the	DET
ap-1674	23	24	aggregate	aggregate	ADJ
ap-1674	23	25	particle	particle	NOUN
ap-1674	23	26	surface	surface	NOUN
ap-1674	23	27	(	(	PUNCT
ap-1674	23	28	typically	typically	ADV
ap-1674	23	29	within	within	ADP
ap-1674	23	30	50	50	NUM
ap-1674	23	31	micrometers	micrometer	NOUN
ap-1674	23	32	)	)	PUNCT
ap-1674	23	33	.	.	PUNCT
ap-1674	24	1	this	this	DET
ap-1674	24	2	region	region	NOUN
ap-1674	24	3	,	,	PUNCT
ap-1674	24	4	known	know	VERB
ap-1674	24	5	as	as	ADP
ap-1674	24	6	the	the	DET
ap-1674	24	7	interfacial	interfacial	ADJ
ap-1674	24	8	transition	transition	NOUN
ap-1674	24	9	zone	zone	NOUN
ap-1674	24	10	(	(	PUNCT
ap-1674	24	11	itz	itz	PROPN
ap-1674	24	12	)	)	PUNCT
ap-1674	24	13	,	,	PUNCT
ap-1674	24	14	exhibits	exhibit	VERB
ap-1674	24	15	higher	high	ADJ
ap-1674	24	16	capillary	capillary	ADJ
ap-1674	24	17	porosity	porosity	NOUN
ap-1674	24	18	and	and	CCONJ
ap-1674	24	19	larger	large	ADJ
ap-1674	24	20	pores	pore	NOUN
ap-1674	24	21	than	than	ADP
ap-1674	24	22	the	the	DET
ap-1674	24	23	bulk	bulk	ADJ
ap-1674	24	24	cement	cement	NOUN
ap-1674	24	25	paste	paste	NOUN
ap-1674	24	26	matrix	matrix	NOUN
ap-1674	24	27	[	[	X
ap-1674	24	28	6	6	NUM
ap-1674	24	29	,	,	PUNCT
ap-1674	24	30	7	7	NUM
ap-1674	24	31	]	]	PUNCT
ap-1674	24	32	.	.	PUNCT
ap-1674	25	1	these	these	DET
ap-1674	25	2	features	feature	NOUN
ap-1674	25	3	are	be	AUX
ap-1674	25	4	commonly	commonly	ADV
ap-1674	25	5	attributed	attribute	VERB
ap-1674	25	6	to	to	ADP
ap-1674	25	7	the	the	DET
ap-1674	25	8	cement	cement	NOUN
ap-1674	25	9	particle	particle	NOUN
ap-1674	25	10	packing	packing	NOUN
ap-1674	25	11	effect	effect	NOUN
ap-1674	25	12	and	and	CCONJ
ap-1674	25	13	the	the	DET
ap-1674	25	14	one	one	NUM
ap-1674	25	15	-	-	PUNCT
ap-1674	25	16	side	side	NOUN
ap-1674	25	17	growth	growth	NOUN
ap-1674	25	18	effect	effect	NOUN
ap-1674	25	19	.	.	PUNCT
ap-1674	26	1	however	however	ADV
ap-1674	26	2	,	,	PUNCT
ap-1674	26	3	if	if	SCONJ
ap-1674	26	4	itzs	itz	NOUN
ap-1674	26	5	do	do	AUX
ap-1674	26	6	not	not	PART
ap-1674	26	7	percolate	percolate	VERB
ap-1674	26	8	,	,	PUNCT
ap-1674	26	9	their	their	PRON
ap-1674	26	10	effect	effect	NOUN
ap-1674	26	11	on	on	ADP
ap-1674	26	12	transport	transport	NOUN
ap-1674	26	13	will	will	AUX
ap-1674	26	14	be	be	AUX
ap-1674	26	15	fairly	fairly	ADV
ap-1674	26	16	small	small	ADJ
ap-1674	26	17	,	,	PUNCT
ap-1674	26	18	as	as	SCONJ
ap-1674	26	19	any	any	DET
ap-1674	26	20	transport	transport	NOUN
ap-1674	26	21	path	path	NOUN
ap-1674	26	22	through	through	ADP
ap-1674	26	23	concrete	concrete	NOUN
ap-1674	26	24	would	would	AUX
ap-1674	26	25	have	have	VERB
ap-1674	26	26	to	to	PART
ap-1674	26	27	go	go	VERB
ap-1674	26	28	through	through	ADP
ap-1674	26	29	the	the	DET
ap-1674	26	30	bulk	bulk	ADJ
ap-1674	26	31	cement	cement	NOUN
ap-1674	26	32	paste	paste	NOUN
ap-1674	26	33	.	.	PUNCT
ap-1674	27	1	the	the	DET
ap-1674	27	2	transport	transport	NOUN
ap-1674	27	3	properties	property	NOUN
ap-1674	27	4	would	would	AUX
ap-1674	27	5	then	then	ADV
ap-1674	27	6	be	be	AUX
ap-1674	27	7	dominated	dominate	VERB
ap-1674	27	8	by	by	ADP
ap-1674	27	9	the	the	DET
ap-1674	27	10	transport	transport	NOUN
ap-1674	27	11	properties	property	NOUN
ap-1674	27	12	of	of	ADP
ap-1674	27	13	the	the	DET
ap-1674	27	14	bulk	bulk	ADJ
ap-1674	27	15	cement	cement	NOUN
ap-1674	27	16	paste	paste	NOUN
ap-1674	27	17	.	.	PUNCT
ap-1674	28	1	the	the	DET
ap-1674	28	2	problem	problem	NOUN
ap-1674	28	3	of	of	ADP
ap-1674	28	4	itz	itz	PROPN
ap-1674	28	5	percolation	percolation	NOUN
ap-1674	28	6	in	in	ADP
ap-1674	28	7	concrete	concrete	NOUN
ap-1674	28	8	is	be	AUX
ap-1674	28	9	computationally	computationally	ADV
ap-1674	28	10	not	not	PART
ap-1674	28	11	simple	simple	ADJ
ap-1674	28	12	,	,	PUNCT
ap-1674	28	13	as	as	SCONJ
ap-1674	28	14	the	the	DET
ap-1674	28	15	geometry	geometry	NOUN
ap-1674	28	16	and	and	CCONJ
ap-1674	28	17	topology	topology	NOUN
ap-1674	28	18	of	of	ADP
ap-1674	28	19	this	this	DET
ap-1674	28	20	phase	phase	NOUN
ap-1674	28	21	is	be	AUX
ap-1674	28	22	complex	complex	ADJ
ap-1674	28	23	.	.	PUNCT
ap-1674	29	1	note	note	VERB
ap-1674	29	2	that	that	PRON
ap-1674	29	3	micrometer	micrometer	NOUN
ap-1674	29	4	and	and	CCONJ
ap-1674	29	5	millimeter	millimeter	NOUN
ap-1674	29	6	length	length	NOUN
ap-1674	29	7	scales	scale	NOUN
ap-1674	29	8	have	have	VERB
ap-1674	29	9	to	to	PART
ap-1674	29	10	be	be	AUX
ap-1674	29	11	considered	consider	VERB
ap-1674	29	12	simultaneously	simultaneously	ADV
ap-1674	29	13	in	in	ADP
ap-1674	29	14	such	such	DET
ap-1674	29	15	a	a	DET
ap-1674	29	16	study	study	NOUN
ap-1674	29	17	.	.	PUNCT
ap-1674	30	1	this	this	PRON
ap-1674	30	2	makes	make	VERB
ap-1674	30	3	the	the	DET
ap-1674	30	4	standard	standard	ADJ
ap-1674	30	5	models	model	NOUN
ap-1674	30	6	based	base	VERB
ap-1674	30	7	solely	solely	ADV
ap-1674	30	8	on	on	ADP
ap-1674	30	9	digital	digital	ADJ
ap-1674	30	10	image	image	NOUN
ap-1674	30	11	processing	processing	NOUN
ap-1674	30	12	[	[	X
ap-1674	30	13	8	8	NUM
ap-1674	30	14	,	,	PUNCT
ap-1674	30	15	9	9	NUM
ap-1674	30	16	]	]	PUNCT
ap-1674	30	17	prohibitive	prohibitive	ADJ
ap-1674	30	18	in	in	ADP
ap-1674	30	19	terms	term	NOUN
ap-1674	30	20	of	of	ADP
ap-1674	30	21	memory	memory	NOUN
ap-1674	30	22	requirements	requirement	NOUN
ap-1674	30	23	.	.	PUNCT
ap-1674	31	1	the	the	DET
ap-1674	31	2	hard	hard	ADJ
ap-1674	31	3	core	core	NOUN
ap-1674	31	4	–	–	PUNCT
ap-1674	31	5	soft	soft	ADJ
ap-1674	31	6	shell	shell	NOUN
ap-1674	31	7	model	model	NOUN
ap-1674	31	8	[	[	X
ap-1674	31	9	10	10	NUM
ap-1674	31	10	,	,	PUNCT
ap-1674	31	11	11	11	NUM
ap-1674	31	12	]	]	PUNCT
ap-1674	31	13	is	be	AUX
ap-1674	31	14	therefore	therefore	ADV
ap-1674	31	15	utilized	utilize	VERB
ap-1674	31	16	.	.	PUNCT
ap-1674	32	1	in	in	ADP
ap-1674	32	2	this	this	DET
ap-1674	32	3	continuum	continuum	ADJ
ap-1674	32	4	model	model	NOUN
ap-1674	32	5	,	,	PUNCT
ap-1674	32	6	each	each	DET
ap-1674	32	7	randomly	randomly	ADV
ap-1674	32	8	-	-	PUNCT
ap-1674	32	9	placed	place	VERB
ap-1674	32	10	38	38	NUM
ap-1674	32	11	acta	acta	PROPN
ap-1674	32	12	polytechnica	polytechnica	PROPN
ap-1674	32	13	vol	vol	NOUN
ap-1674	32	14	.	.	PROPN
ap-1674	33	1	52	52	NUM
ap-1674	33	2	no	no	NOUN
ap-1674	33	3	.	.	PUNCT
ap-1674	34	1	6/2012	6/2012	NUM
ap-1674	34	2	aggregate	aggregate	ADJ
ap-1674	34	3	particle	particle	NOUN
ap-1674	34	4	is	be	AUX
ap-1674	34	5	surrounded	surround	VERB
ap-1674	34	6	by	by	ADP
ap-1674	34	7	a	a	DET
ap-1674	34	8	shell	shell	NOUN
ap-1674	34	9	of	of	ADP
ap-1674	34	10	constant	constant	ADJ
ap-1674	34	11	thickness	thickness	NOUN
ap-1674	34	12	representing	represent	VERB
ap-1674	34	13	the	the	DET
ap-1674	34	14	itz	itz	PROPN
ap-1674	34	15	.	.	PUNCT
ap-1674	35	1	while	while	SCONJ
ap-1674	35	2	the	the	DET
ap-1674	35	3	hard	hard	ADJ
ap-1674	35	4	core	core	NOUN
ap-1674	35	5	aggregates	aggregate	NOUN
ap-1674	35	6	may	may	AUX
ap-1674	35	7	not	not	PART
ap-1674	35	8	overlap	overlap	VERB
ap-1674	35	9	one	one	NUM
ap-1674	35	10	another	another	DET
ap-1674	35	11	,	,	PUNCT
ap-1674	35	12	the	the	DET
ap-1674	35	13	soft	soft	ADJ
ap-1674	35	14	shell	shell	NOUN
ap-1674	35	15	itzs	itz	NOUN
ap-1674	35	16	are	be	AUX
ap-1674	35	17	free	free	ADJ
ap-1674	35	18	to	to	PART
ap-1674	35	19	overlap	overlap	VERB
ap-1674	35	20	one	one	NUM
ap-1674	35	21	another	another	DET
ap-1674	35	22	.	.	PUNCT
ap-1674	36	1	itz	itz	PROPN
ap-1674	36	2	percolation	percolation	NOUN
ap-1674	36	3	is	be	AUX
ap-1674	36	4	verified	verify	VERB
ap-1674	36	5	if	if	SCONJ
ap-1674	36	6	it	it	PRON
ap-1674	36	7	propagates	propagate	VERB
ap-1674	36	8	continuously	continuously	ADV
ap-1674	36	9	through	through	ADP
ap-1674	36	10	the	the	DET
ap-1674	36	11	whole	whole	ADJ
ap-1674	36	12	specimen	speciman	NOUN
ap-1674	36	13	in	in	ADP
ap-1674	36	14	a	a	DET
ap-1674	36	15	particular	particular	ADJ
ap-1674	36	16	direction	direction	NOUN
ap-1674	36	17	.	.	PUNCT
ap-1674	37	1	until	until	ADP
ap-1674	37	2	now	now	ADV
ap-1674	37	3	,	,	PUNCT
ap-1674	37	4	the	the	DET
ap-1674	37	5	itz	itz	PROPN
ap-1674	37	6	percolation	percolation	NOUN
ap-1674	37	7	problem	problem	NOUN
ap-1674	37	8	has	have	AUX
ap-1674	37	9	been	be	AUX
ap-1674	37	10	studied	study	VERB
ap-1674	37	11	for	for	ADP
ap-1674	37	12	spherical	spherical	ADJ
ap-1674	37	13	[	[	X
ap-1674	37	14	12	12	NUM
ap-1674	37	15	]	]	PUNCT
ap-1674	37	16	and	and	CCONJ
ap-1674	37	17	ellipsoidal	ellipsoidal	ADJ
ap-1674	37	18	aggregate	aggregate	ADJ
ap-1674	37	19	particles	particle	NOUN
ap-1674	37	20	[	[	X
ap-1674	37	21	13	13	NUM
ap-1674	37	22	]	]	PUNCT
ap-1674	37	23	.	.	PUNCT
ap-1674	38	1	the	the	DET
ap-1674	38	2	itz	itz	PROPN
ap-1674	38	3	percolation	percolation	NOUN
ap-1674	38	4	threshold	threshold	NOUN
ap-1674	38	5	in	in	ADP
ap-1674	38	6	terms	term	NOUN
ap-1674	38	7	of	of	ADP
ap-1674	38	8	the	the	DET
ap-1674	38	9	aggregate	aggregate	ADJ
ap-1674	38	10	volume	volume	NOUN
ap-1674	38	11	fraction	fraction	NOUN
ap-1674	38	12	was	be	AUX
ap-1674	38	13	found	find	VERB
ap-1674	38	14	to	to	PART
ap-1674	38	15	be	be	AUX
ap-1674	38	16	dependent	dependent	ADJ
ap-1674	38	17	on	on	ADP
ap-1674	38	18	the	the	DET
ap-1674	38	19	aspect	aspect	NOUN
ap-1674	38	20	ratio	ratio	NOUN
ap-1674	38	21	of	of	ADP
ap-1674	38	22	the	the	DET
ap-1674	38	23	(	(	PUNCT
ap-1674	38	24	ellipsoidal	ellipsoidal	ADJ
ap-1674	38	25	)	)	PUNCT
ap-1674	38	26	aggregates	aggregate	NOUN
ap-1674	38	27	.	.	PUNCT
ap-1674	39	1	it	it	PRON
ap-1674	39	2	is	be	AUX
ap-1674	39	3	interesting	interesting	ADJ
ap-1674	39	4	,	,	PUNCT
ap-1674	39	5	however	however	ADV
ap-1674	39	6	,	,	PUNCT
ap-1674	39	7	that	that	SCONJ
ap-1674	39	8	the	the	DET
ap-1674	39	9	itz	itz	PROPN
ap-1674	39	10	percolation	percolation	NOUN
ap-1674	39	11	threshold	threshold	NOUN
ap-1674	39	12	in	in	ADP
ap-1674	39	13	terms	term	NOUN
ap-1674	39	14	of	of	ADP
ap-1674	39	15	the	the	DET
ap-1674	39	16	volume	volume	NOUN
ap-1674	39	17	fraction	fraction	NOUN
ap-1674	39	18	of	of	ADP
ap-1674	39	19	the	the	DET
ap-1674	39	20	itzs	itz	NOUN
ap-1674	39	21	was	be	AUX
ap-1674	39	22	not	not	PART
ap-1674	39	23	dependent	dependent	ADJ
ap-1674	39	24	on	on	ADP
ap-1674	39	25	the	the	DET
ap-1674	39	26	aggregate	aggregate	ADJ
ap-1674	39	27	aspect	aspect	NOUN
ap-1674	39	28	ratio	ratio	NOUN
ap-1674	40	1	[	[	X
ap-1674	40	2	13	13	NUM
ap-1674	40	3	]	]	PUNCT
ap-1674	40	4	.	.	PUNCT
ap-1674	41	1	this	this	DET
ap-1674	41	2	work	work	NOUN
ap-1674	41	3	goes	go	VERB
ap-1674	41	4	one	one	NUM
ap-1674	41	5	step	step	NOUN
ap-1674	41	6	further	far	ADV
ap-1674	41	7	and	and	CCONJ
ap-1674	41	8	elaborates	elaborate	VERB
ap-1674	41	9	the	the	DET
ap-1674	41	10	assessment	assessment	NOUN
ap-1674	41	11	of	of	ADP
ap-1674	41	12	itz	itz	PROPN
ap-1674	41	13	percolation	percolation	NOUN
ap-1674	41	14	for	for	ADP
ap-1674	41	15	realistic	realistic	ADJ
ap-1674	41	16	shapes	shape	NOUN
ap-1674	41	17	and	and	CCONJ
ap-1674	41	18	distribution	distribution	NOUN
ap-1674	41	19	of	of	ADP
ap-1674	41	20	aggregates	aggregate	NOUN
ap-1674	41	21	.	.	PUNCT
ap-1674	42	1	a	a	DET
ap-1674	42	2	relatively	relatively	ADV
ap-1674	42	3	simply	simply	ADV
ap-1674	42	4	and	and	CCONJ
ap-1674	42	5	robust	robust	ADJ
ap-1674	42	6	approach	approach	NOUN
ap-1674	42	7	introduced	introduce	VERB
ap-1674	42	8	in	in	ADP
ap-1674	42	9	[	[	X
ap-1674	42	10	14	14	NUM
ap-1674	42	11	]	]	PUNCT
ap-1674	42	12	is	be	AUX
ap-1674	42	13	employed	employ	VERB
ap-1674	42	14	for	for	ADP
ap-1674	42	15	describing	describe	VERB
ap-1674	42	16	real	real	ADJ
ap-1674	42	17	three	three	NUM
ap-1674	42	18	-	-	PUNCT
ap-1674	42	19	dimensional	dimensional	ADJ
ap-1674	42	20	aggregate	aggregate	ADJ
ap-1674	42	21	particles	particle	NOUN
ap-1674	42	22	.	.	PUNCT
ap-1674	43	1	this	this	DET
ap-1674	43	2	method	method	NOUN
ap-1674	43	3	is	be	AUX
ap-1674	43	4	based	base	VERB
ap-1674	43	5	on	on	ADP
ap-1674	43	6	approximating	approximate	VERB
ap-1674	43	7	the	the	DET
ap-1674	43	8	particle	particle	NOUN
ap-1674	43	9	shape	shape	NOUN
ap-1674	43	10	by	by	ADP
ap-1674	43	11	spherical	spherical	ADJ
ap-1674	43	12	harmonic	harmonic	ADJ
ap-1674	43	13	functions	function	NOUN
ap-1674	43	14	(	(	PUNCT
ap-1674	43	15	the	the	DET
ap-1674	43	16	threedimensional	threedimensional	ADJ
ap-1674	43	17	equivalent	equivalent	NOUN
ap-1674	43	18	of	of	ADP
ap-1674	43	19	two	two	NUM
ap-1674	43	20	-	-	PUNCT
ap-1674	43	21	dimensional	dimensional	ADJ
ap-1674	43	22	fourier	fourier	NOUN
ap-1674	43	23	analysis	analysis	NOUN
ap-1674	43	24	)	)	PUNCT
ap-1674	43	25	.	.	PUNCT
ap-1674	44	1	although	although	SCONJ
ap-1674	44	2	this	this	DET
ap-1674	44	3	representation	representation	NOUN
ap-1674	44	4	is	be	AUX
ap-1674	44	5	not	not	PART
ap-1674	44	6	universal	universal	ADJ
ap-1674	44	7	(	(	PUNCT
ap-1674	44	8	it	it	PRON
ap-1674	44	9	implies	imply	VERB
ap-1674	44	10	that	that	SCONJ
ap-1674	44	11	the	the	DET
ap-1674	44	12	aggregate	aggregate	ADJ
ap-1674	44	13	particle	particle	NOUN
ap-1674	44	14	is	be	AUX
ap-1674	44	15	star	star	NOUN
ap-1674	44	16	-	-	PUNCT
ap-1674	44	17	like	like	ADJ
ap-1674	44	18	in	in	ADP
ap-1674	44	19	shape	shape	NOUN
ap-1674	44	20	with	with	ADP
ap-1674	44	21	no	no	DET
ap-1674	44	22	internal	internal	ADJ
ap-1674	44	23	voids	voids	NOUN
ap-1674	44	24	)	)	PUNCT
ap-1674	44	25	,	,	PUNCT
ap-1674	44	26	it	it	PRON
ap-1674	44	27	is	be	AUX
ap-1674	44	28	suitable	suitable	ADJ
ap-1674	44	29	for	for	ADP
ap-1674	44	30	almost	almost	ADV
ap-1674	44	31	all	all	PRON
ap-1674	44	32	aggregates	aggregate	NOUN
ap-1674	44	33	used	use	VERB
ap-1674	44	34	in	in	ADP
ap-1674	44	35	structural	structural	ADJ
ap-1674	44	36	concrete	concrete	NOUN
ap-1674	44	37	.	.	PUNCT
ap-1674	45	1	a	a	DET
ap-1674	45	2	significant	significant	ADJ
ap-1674	45	3	advantage	advantage	NOUN
ap-1674	45	4	of	of	ADP
ap-1674	45	5	this	this	DET
ap-1674	45	6	approach	approach	NOUN
ap-1674	45	7	is	be	AUX
ap-1674	45	8	that	that	SCONJ
ap-1674	45	9	the	the	DET
ap-1674	45	10	resolution	resolution	NOUN
ap-1674	45	11	of	of	ADP
ap-1674	45	12	the	the	DET
ap-1674	45	13	smooth	smooth	ADJ
ap-1674	45	14	representation	representation	NOUN
ap-1674	45	15	can	can	AUX
ap-1674	45	16	be	be	AUX
ap-1674	45	17	flexibly	flexibly	ADV
ap-1674	45	18	controlled	control	VERB
ap-1674	45	19	by	by	ADP
ap-1674	45	20	the	the	DET
ap-1674	45	21	number	number	NOUN
ap-1674	45	22	of	of	ADP
ap-1674	45	23	terms	term	NOUN
ap-1674	45	24	in	in	ADP
ap-1674	45	25	the	the	DET
ap-1674	45	26	expansion	expansion	NOUN
ap-1674	45	27	.	.	PUNCT
ap-1674	46	1	the	the	DET
ap-1674	46	2	paper	paper	NOUN
ap-1674	46	3	is	be	AUX
ap-1674	46	4	organized	organize	VERB
ap-1674	46	5	as	as	SCONJ
ap-1674	46	6	follows	follow	VERB
ap-1674	46	7	.	.	PUNCT
ap-1674	47	1	in	in	ADP
ap-1674	47	2	section	section	NOUN
ap-1674	47	3	2	2	NUM
ap-1674	47	4	,	,	PUNCT
ap-1674	47	5	the	the	DET
ap-1674	47	6	representation	representation	NOUN
ap-1674	47	7	of	of	ADP
ap-1674	47	8	the	the	DET
ap-1674	47	9	aggregate	aggregate	ADJ
ap-1674	47	10	particle	particle	NOUN
ap-1674	47	11	using	use	VERB
ap-1674	47	12	spherical	spherical	ADJ
ap-1674	47	13	harmonic	harmonic	ADJ
ap-1674	47	14	expansion	expansion	NOUN
ap-1674	47	15	is	be	AUX
ap-1674	47	16	recalled	recall	VERB
ap-1674	47	17	.	.	PUNCT
ap-1674	48	1	then	then	ADV
ap-1674	48	2	the	the	DET
ap-1674	48	3	algorithm	algorithm	NOUN
ap-1674	48	4	for	for	ADP
ap-1674	48	5	packing	pack	VERB
ap-1674	48	6	the	the	DET
ap-1674	48	7	aggregate	aggregate	ADJ
ap-1674	48	8	particles	particle	NOUN
ap-1674	48	9	into	into	ADP
ap-1674	48	10	the	the	DET
ap-1674	48	11	representative	representative	ADJ
ap-1674	48	12	volume	volume	NOUN
ap-1674	48	13	is	be	AUX
ap-1674	48	14	described	describe	VERB
ap-1674	48	15	in	in	ADP
ap-1674	48	16	section	section	NOUN
ap-1674	48	17	3	3	NUM
ap-1674	48	18	.	.	PUNCT
ap-1674	49	1	the	the	DET
ap-1674	49	2	actual	actual	ADJ
ap-1674	49	3	assessment	assessment	NOUN
ap-1674	49	4	of	of	ADP
ap-1674	49	5	itz	itz	PROPN
ap-1674	49	6	percolation	percolation	NOUN
ap-1674	49	7	is	be	AUX
ap-1674	49	8	worked	work	VERB
ap-1674	49	9	out	out	ADP
ap-1674	49	10	in	in	ADP
ap-1674	49	11	section	section	NOUN
ap-1674	49	12	4	4	NUM
ap-1674	49	13	.	.	PUNCT
ap-1674	49	14	section	section	NOUN
ap-1674	49	15	5	5	NUM
ap-1674	49	16	presents	present	VERB
ap-1674	49	17	a	a	DET
ap-1674	49	18	simple	simple	ADJ
ap-1674	49	19	example	example	NOUN
ap-1674	49	20	of	of	ADP
ap-1674	49	21	a	a	DET
ap-1674	49	22	concrete	concrete	ADJ
ap-1674	49	23	specimen	speciman	NOUN
ap-1674	49	24	with	with	ADP
ap-1674	49	25	realistic	realistic	ADJ
ap-1674	49	26	shapes	shape	NOUN
ap-1674	49	27	and	and	CCONJ
ap-1674	49	28	distribution	distribution	NOUN
ap-1674	49	29	of	of	ADP
ap-1674	49	30	the	the	DET
ap-1674	49	31	aggregates	aggregate	NOUN
ap-1674	49	32	.	.	PUNCT
ap-1674	50	1	the	the	DET
ap-1674	50	2	paper	paper	NOUN
ap-1674	50	3	ends	end	VERB
ap-1674	50	4	with	with	ADP
ap-1674	50	5	concluding	conclude	VERB
ap-1674	50	6	remarks	remark	NOUN
ap-1674	50	7	in	in	ADP
ap-1674	50	8	section	section	NOUN
ap-1674	50	9	6	6	NUM
ap-1674	50	10	.	.	SYM
ap-1674	50	11	2	2	NUM
ap-1674	50	12	geometrical	geometrical	ADJ
ap-1674	50	13	representation	representation	NOUN
ap-1674	50	14	of	of	ADP
ap-1674	50	15	aggregate	aggregate	ADJ
ap-1674	50	16	particles	particle	NOUN
ap-1674	50	17	the	the	DET
ap-1674	50	18	geometrical	geometrical	ADJ
ap-1674	50	19	representation	representation	NOUN
ap-1674	50	20	of	of	ADP
ap-1674	50	21	aggregate	aggregate	ADJ
ap-1674	50	22	particles	particle	NOUN
ap-1674	50	23	is	be	AUX
ap-1674	50	24	based	base	VERB
ap-1674	50	25	on	on	ADP
ap-1674	50	26	a	a	DET
ap-1674	50	27	scalar	scalar	ADJ
ap-1674	50	28	function	function	NOUN
ap-1674	50	29	r(η	r(η	PROPN
ap-1674	50	30	,	,	PUNCT
ap-1674	50	31	ϕ	ϕ	NOUN
ap-1674	50	32	)	)	PUNCT
ap-1674	50	33	,	,	PUNCT
ap-1674	50	34	defined	define	VERB
ap-1674	50	35	as	as	ADP
ap-1674	50	36	the	the	DET
ap-1674	50	37	distance	distance	NOUN
ap-1674	50	38	of	of	ADP
ap-1674	50	39	the	the	DET
ap-1674	50	40	particle	particle	NOUN
ap-1674	50	41	surface	surface	NOUN
ap-1674	50	42	point	point	NOUN
ap-1674	50	43	from	from	ADP
ap-1674	50	44	the	the	DET
ap-1674	50	45	particle	particle	NOUN
ap-1674	50	46	center	center	NOUN
ap-1674	50	47	(	(	PUNCT
ap-1674	50	48	possibly	possibly	ADV
ap-1674	50	49	center	center	NOUN
ap-1674	50	50	of	of	ADP
ap-1674	50	51	mass	mass	NOUN
ap-1674	50	52	)	)	PUNCT
ap-1674	50	53	measured	measure	VERB
ap-1674	50	54	in	in	ADP
ap-1674	50	55	the	the	DET
ap-1674	50	56	direction	direction	NOUN
ap-1674	50	57	of	of	ADP
ap-1674	50	58	spherical	spherical	ADJ
ap-1674	50	59	coordinates	coordinate	NOUN
ap-1674	50	60	η	η	PROPN
ap-1674	50	61	and	and	CCONJ
ap-1674	50	62	ϕ	ϕ	NOUN
ap-1674	50	63	with	with	ADP
ap-1674	50	64	the	the	DET
ap-1674	50	65	origin	origin	NOUN
ap-1674	50	66	located	locate	VERB
ap-1674	50	67	at	at	ADP
ap-1674	50	68	that	that	DET
ap-1674	50	69	center	center	NOUN
ap-1674	50	70	(	(	PUNCT
ap-1674	50	71	figure	figure	NOUN
ap-1674	50	72	1	1	NUM
ap-1674	50	73	)	)	PUNCT
ap-1674	50	74	.	.	PUNCT
ap-1674	51	1	the	the	DET
ap-1674	51	2	cartesian	cartesian	ADJ
ap-1674	51	3	coordinates	coordinate	NOUN
ap-1674	51	4	of	of	ADP
ap-1674	51	5	the	the	DET
ap-1674	51	6	surface	surface	NOUN
ap-1674	51	7	point	point	NOUN
ap-1674	51	8	(	(	PUNCT
ap-1674	51	9	components	component	NOUN
ap-1674	51	10	of	of	ADP
ap-1674	51	11	its	its	PRON
ap-1674	51	12	position	position	NOUN
ap-1674	51	13	vector	vector	NOUN
ap-1674	51	14	r	r	NOUN
ap-1674	51	15	)	)	PUNCT
ap-1674	51	16	are	be	AUX
ap-1674	51	17	then	then	ADV
ap-1674	51	18	given	give	VERB
ap-1674	51	19	by	by	ADP
ap-1674	51	20	x(η	x(η	PROPN
ap-1674	51	21	,	,	PUNCT
ap-1674	51	22	ϕ	ϕ	NOUN
ap-1674	51	23	)	)	PUNCT
ap-1674	51	24	=	=	SYM
ap-1674	51	25	r(η	r(η	PROPN
ap-1674	51	26	,	,	PUNCT
ap-1674	51	27	ϕ	ϕ	NOUN
ap-1674	51	28	)	)	PUNCT
ap-1674	51	29	sin(η	sin(η	PROPN
ap-1674	51	30	)	)	PUNCT
ap-1674	51	31	cos(ϕ	cos(ϕ	PROPN
ap-1674	51	32	)	)	PUNCT
ap-1674	51	33	y(η	y(η	PROPN
ap-1674	51	34	,	,	PUNCT
ap-1674	51	35	ϕ	ϕ	NOUN
ap-1674	51	36	)	)	PUNCT
ap-1674	51	37	=	=	SYM
ap-1674	51	38	r(η	r(η	PROPN
ap-1674	51	39	,	,	PUNCT
ap-1674	51	40	ϕ	ϕ	NOUN
ap-1674	51	41	)	)	PUNCT
ap-1674	51	42	sin(η	sin(η	PROPN
ap-1674	51	43	)	)	PUNCT
ap-1674	51	44	sin(ϕ	sin(ϕ	NOUN
ap-1674	51	45	)	)	PUNCT
ap-1674	51	46	(	(	PUNCT
ap-1674	51	47	1	1	X
ap-1674	51	48	)	)	PUNCT
ap-1674	51	49	z(η	z(η	NOUN
ap-1674	51	50	,	,	PUNCT
ap-1674	51	51	ϕ	ϕ	NOUN
ap-1674	51	52	)	)	PUNCT
ap-1674	51	53	=	=	SYM
ap-1674	51	54	r(η	r(η	PROPN
ap-1674	51	55	,	,	PUNCT
ap-1674	51	56	ϕ	ϕ	NOUN
ap-1674	51	57	)	)	PUNCT
ap-1674	51	58	cos(η	cos(η	PROPN
ap-1674	51	59	)	)	PUNCT
ap-1674	51	60	.	.	PUNCT
ap-1674	52	1	η	η	PROPN
ap-1674	52	2	y	y	PROPN
ap-1674	52	3	x	x	PROPN
ap-1674	52	4	ϕ	ϕ	PROPN
ap-1674	52	5	o	o	X
ap-1674	52	6	z	z	PROPN
ap-1674	52	7	η	η	PROPN
ap-1674	52	8	ϕr	ϕr	X
ap-1674	52	9	(	(	PUNCT
ap-1674	52	10	,	,	PUNCT
ap-1674	52	11	)	)	PUNCT
ap-1674	52	12	η	η	PROPN
ap-1674	52	13	y	y	PROPN
ap-1674	52	14	x	x	PROPN
ap-1674	52	15	ϕ	ϕ	PROPN
ap-1674	52	16	o	o	X
ap-1674	52	17	z	z	PROPN
ap-1674	52	18	η	η	PROPN
ap-1674	52	19	ϕr	ϕr	X
ap-1674	52	20	(	(	PUNCT
ap-1674	52	21	,	,	PUNCT
ap-1674	52	22	)	)	PUNCT
ap-1674	52	23	surface	surface	NOUN
ap-1674	52	24	surface	surface	NOUN
ap-1674	52	25	real	real	ADJ
ap-1674	52	26	digital	digital	ADJ
ap-1674	52	27	figure	figure	NOUN
ap-1674	52	28	1	1	NUM
ap-1674	52	29	:	:	PUNCT
ap-1674	52	30	description	description	NOUN
ap-1674	52	31	of	of	ADP
ap-1674	52	32	the	the	DET
ap-1674	52	33	aggregate	aggregate	ADJ
ap-1674	52	34	particle	particle	NOUN
ap-1674	52	35	in	in	ADP
ap-1674	52	36	the	the	DET
ap-1674	52	37	spherical	spherical	ADJ
ap-1674	52	38	coordinate	coordinate	NOUN
ap-1674	52	39	system	system	NOUN
ap-1674	52	40	.	.	PUNCT
ap-1674	53	1	if	if	SCONJ
ap-1674	53	2	the	the	DET
ap-1674	53	3	function	function	NOUN
ap-1674	53	4	r(η	r(η	PROPN
ap-1674	53	5	,	,	PUNCT
ap-1674	53	6	ϕ	ϕ	NOUN
ap-1674	53	7	)	)	PUNCT
ap-1674	53	8	is	be	AUX
ap-1674	53	9	smooth	smooth	ADJ
ap-1674	53	10	on	on	ADP
ap-1674	53	11	unit	unit	NOUN
ap-1674	53	12	sphere	sphere	NOUN
ap-1674	53	13	(	(	PUNCT
ap-1674	53	14	0	0	PROPN
ap-1674	53	15	≤	≤	NUM
ap-1674	53	16	η	η	PROPN
ap-1674	53	17	≤	≤	PROPN
ap-1674	53	18	π	π	PROPN
ap-1674	53	19	,	,	PUNCT
ap-1674	53	20	0	0	NUM
ap-1674	53	21	≤	≤	NUM
ap-1674	53	22	ϕ	ϕ	X
ap-1674	53	23	≤	≤	ADJ
ap-1674	53	24	2π	2π	NOUN
ap-1674	53	25	)	)	PUNCT
ap-1674	53	26	and	and	CCONJ
ap-1674	53	27	periodic	periodic	NOUN
ap-1674	53	28	in	in	ADP
ap-1674	53	29	ϕ	ϕ	PROPN
ap-1674	53	30	,	,	PUNCT
ap-1674	53	31	it	it	PRON
ap-1674	53	32	can	can	AUX
ap-1674	53	33	be	be	AUX
ap-1674	53	34	expressed	express	VERB
ap-1674	53	35	in	in	ADP
ap-1674	53	36	the	the	DET
ap-1674	53	37	form	form	NOUN
ap-1674	53	38	of	of	ADP
ap-1674	53	39	the	the	DET
ap-1674	53	40	expansion	expansion	NOUN
ap-1674	53	41	into	into	ADP
ap-1674	53	42	spherical	spherical	ADJ
ap-1674	53	43	harmonic	harmonic	ADJ
ap-1674	53	44	functions	function	NOUN
ap-1674	53	45	as	as	ADP
ap-1674	53	46	r(η	r(η	PROPN
ap-1674	53	47	,	,	PUNCT
ap-1674	53	48	ϕ	ϕ	NOUN
ap-1674	53	49	)	)	PUNCT
ap-1674	53	50	=	=	SYM
ap-1674	54	1	∞∑	∞∑	NUM
ap-1674	54	2	n=0	n=0	NOUN
ap-1674	54	3	n∑	n∑	NOUN
ap-1674	54	4	m=−n	m=−n	PROPN
ap-1674	54	5	anmy	anmy	VERB
ap-1674	54	6	m	m	VERB
ap-1674	54	7	n	n	PROPN
ap-1674	54	8	(	(	PUNCT
ap-1674	54	9	η	η	PROPN
ap-1674	54	10	,	,	PUNCT
ap-1674	54	11	ϕ	ϕ	NOUN
ap-1674	54	12	)	)	PUNCT
ap-1674	54	13	,	,	PUNCT
ap-1674	54	14	(	(	PUNCT
ap-1674	54	15	2	2	X
ap-1674	54	16	)	)	PUNCT
ap-1674	54	17	where	where	SCONJ
ap-1674	54	18	anm	anm	PROPN
ap-1674	54	19	are	be	AUX
ap-1674	54	20	the	the	DET
ap-1674	54	21	coefficients	coefficient	NOUN
ap-1674	54	22	of	of	ADP
ap-1674	54	23	the	the	DET
ap-1674	54	24	expansion	expansion	NOUN
ap-1674	54	25	and	and	CCONJ
ap-1674	54	26	y	y	PROPN
ap-1674	54	27	mn	mn	PROPN
ap-1674	54	28	(	(	PUNCT
ap-1674	54	29	η	η	PROPN
ap-1674	54	30	,	,	PUNCT
ap-1674	54	31	ϕ	ϕ	NOUN
ap-1674	54	32	)	)	PUNCT
ap-1674	54	33	are	be	AUX
ap-1674	54	34	the	the	DET
ap-1674	54	35	spherical	spherical	ADJ
ap-1674	54	36	harmonic	harmonic	ADJ
ap-1674	54	37	functions	function	NOUN
ap-1674	54	38	(	(	PUNCT
ap-1674	54	39	see	see	VERB
ap-1674	54	40	[	[	X
ap-1674	54	41	14	14	NUM
ap-1674	54	42	]	]	PUNCT
ap-1674	54	43	for	for	ADP
ap-1674	54	44	details	detail	NOUN
ap-1674	54	45	)	)	PUNCT
ap-1674	54	46	.	.	PUNCT
ap-1674	55	1	the	the	DET
ap-1674	55	2	coefficients	coefficient	NOUN
ap-1674	55	3	anm	anm	PROPN
ap-1674	55	4	are	be	AUX
ap-1674	55	5	determined	determine	VERB
ap-1674	55	6	by	by	ADP
ap-1674	55	7	the	the	DET
ap-1674	55	8	integration	integration	NOUN
ap-1674	56	1	anm	anm	NOUN
ap-1674	56	2	=	=	SYM
ap-1674	56	3	∫	∫	PROPN
ap-1674	56	4	2π	2π	PROPN
ap-1674	56	5	0	0	NUM
ap-1674	57	1	∫	∫	PROPN
ap-1674	57	2	π	π	NOUN
ap-1674	57	3	0	0	X
ap-1674	58	1	r(η	r(η	PROPN
ap-1674	58	2	,	,	PUNCT
ap-1674	58	3	ϕ	ϕ	NOUN
ap-1674	58	4	)	)	PUNCT
ap-1674	58	5	sin(η)ȳ	sin(η)ȳ	NUM
ap-1674	58	6	mn	mn	PROPN
ap-1674	58	7	(	(	PUNCT
ap-1674	58	8	η	η	PROPN
ap-1674	58	9	,	,	PUNCT
ap-1674	58	10	ϕ	ϕ	NOUN
ap-1674	58	11	)	)	PUNCT
ap-1674	58	12	dη	dη	ADP
ap-1674	58	13	dϕ	dϕ	NOUN
ap-1674	58	14	,	,	PUNCT
ap-1674	58	15	(	(	PUNCT
ap-1674	58	16	3	3	X
ap-1674	58	17	)	)	PUNCT
ap-1674	58	18	where	where	SCONJ
ap-1674	58	19	ȳ	ȳ	PROPN
ap-1674	58	20	mn	mn	PROPN
ap-1674	58	21	(	(	PUNCT
ap-1674	58	22	η	η	PROPN
ap-1674	58	23	,	,	PUNCT
ap-1674	58	24	ϕ	ϕ	NOUN
ap-1674	58	25	)	)	PUNCT
ap-1674	58	26	is	be	AUX
ap-1674	58	27	the	the	DET
ap-1674	58	28	complex	complex	ADJ
ap-1674	58	29	conjugate	conjugate	NOUN
ap-1674	58	30	to	to	ADP
ap-1674	58	31	y	y	PROPN
ap-1674	58	32	mn	mn	PROPN
ap-1674	58	33	(	(	PUNCT
ap-1674	58	34	η	η	PROPN
ap-1674	58	35	,	,	PUNCT
ap-1674	58	36	ϕ	ϕ	NOUN
ap-1674	58	37	)	)	PUNCT
ap-1674	58	38	.	.	PUNCT
ap-1674	59	1	an	an	DET
ap-1674	59	2	analytical	analytical	ADJ
ap-1674	59	3	evaluation	evaluation	NOUN
ap-1674	59	4	of	of	ADP
ap-1674	59	5	anm	anm	PROPN
ap-1674	59	6	is	be	AUX
ap-1674	59	7	practically	practically	ADV
ap-1674	59	8	not	not	PART
ap-1674	59	9	feasible	feasible	ADJ
ap-1674	59	10	(	(	PUNCT
ap-1674	59	11	except	except	SCONJ
ap-1674	59	12	for	for	ADP
ap-1674	59	13	the	the	DET
ap-1674	59	14	case	case	NOUN
ap-1674	59	15	of	of	ADP
ap-1674	59	16	a	a	DET
ap-1674	59	17	sphere	sphere	NOUN
ap-1674	59	18	where	where	SCONJ
ap-1674	59	19	a00	a00	PROPN
ap-1674	59	20	is	be	AUX
ap-1674	59	21	the	the	DET
ap-1674	59	22	only	only	ADJ
ap-1674	59	23	non	non	ADJ
ap-1674	59	24	-	-	ADJ
ap-1674	59	25	zero	zero	ADJ
ap-1674	59	26	coefficient	coefficient	NOUN
ap-1674	59	27	)	)	PUNCT
ap-1674	59	28	,	,	PUNCT
ap-1674	59	29	and	and	CCONJ
ap-1674	59	30	it	it	PRON
ap-1674	59	31	is	be	AUX
ap-1674	59	32	therefore	therefore	ADV
ap-1674	59	33	necessary	necessary	ADJ
ap-1674	59	34	to	to	PART
ap-1674	59	35	apply	apply	VERB
ap-1674	59	36	numerical	numerical	ADJ
ap-1674	59	37	integration	integration	NOUN
ap-1674	59	38	.	.	PUNCT
ap-1674	60	1	gaussian	gaussian	ADJ
ap-1674	60	2	numerical	numerical	ADJ
ap-1674	60	3	integration	integration	NOUN
ap-1674	60	4	is	be	AUX
ap-1674	60	5	employed	employ	VERB
ap-1674	60	6	in	in	ADP
ap-1674	60	7	the	the	DET
ap-1674	60	8	present	present	ADJ
ap-1674	60	9	study	study	NOUN
ap-1674	60	10	.	.	PUNCT
ap-1674	61	1	theoretically	theoretically	ADV
ap-1674	61	2	,	,	PUNCT
ap-1674	61	3	the	the	DET
ap-1674	61	4	order	order	NOUN
ap-1674	61	5	of	of	ADP
ap-1674	61	6	the	the	DET
ap-1674	61	7	numerical	numerical	ADJ
ap-1674	61	8	integration	integration	NOUN
ap-1674	61	9	should	should	AUX
ap-1674	61	10	approach	approach	VERB
ap-1674	61	11	infinity	infinity	NOUN
ap-1674	61	12	.	.	PUNCT
ap-1674	62	1	however	however	ADV
ap-1674	62	2	,	,	PUNCT
ap-1674	62	3	taking	take	VERB
ap-1674	62	4	for	for	ADP
ap-1674	62	5	the	the	DET
ap-1674	62	6	approximation	approximation	NOUN
ap-1674	62	7	of	of	ADP
ap-1674	62	8	r(η	r(η	PROPN
ap-1674	62	9	,	,	PUNCT
ap-1674	62	10	ϕ	ϕ	NOUN
ap-1674	62	11	)	)	PUNCT
ap-1674	62	12	the	the	DET
ap-1674	62	13	final	final	ADJ
ap-1674	62	14	summation	summation	NOUN
ap-1674	62	15	r(η	r(η	PROPN
ap-1674	62	16	,	,	PUNCT
ap-1674	62	17	ϕ	ϕ	NOUN
ap-1674	62	18	)	)	PUNCT
ap-1674	62	19	=	=	SYM
ap-1674	62	20	n∑	n∑	PROPN
ap-1674	62	21	n=0	n=0	SYM
ap-1674	63	1	n∑	n∑	NOUN
ap-1674	63	2	m=−n	m=−n	PROPN
ap-1674	63	3	anmy	anmy	VERB
ap-1674	63	4	m	m	VERB
ap-1674	63	5	n	n	PROPN
ap-1674	63	6	(	(	PUNCT
ap-1674	63	7	η	η	PROPN
ap-1674	63	8	,	,	PUNCT
ap-1674	63	9	ϕ	ϕ	NOUN
ap-1674	63	10	)	)	PUNCT
ap-1674	63	11	,	,	PUNCT
ap-1674	63	12	(	(	PUNCT
ap-1674	63	13	4	4	X
ap-1674	63	14	)	)	PUNCT
ap-1674	63	15	where	where	SCONJ
ap-1674	63	16	n	n	PRON
ap-1674	63	17	is	be	AUX
ap-1674	63	18	the	the	DET
ap-1674	63	19	order	order	NOUN
ap-1674	63	20	of	of	ADP
ap-1674	63	21	the	the	DET
ap-1674	63	22	expansion	expansion	NOUN
ap-1674	63	23	,	,	PUNCT
ap-1674	63	24	there	there	PRON
ap-1674	63	25	is	be	VERB
ap-1674	63	26	a	a	DET
ap-1674	63	27	reduction	reduction	NOUN
ap-1674	63	28	in	in	ADP
ap-1674	63	29	the	the	DET
ap-1674	63	30	order	order	NOUN
ap-1674	63	31	of	of	ADP
ap-1674	63	32	the	the	DET
ap-1674	63	33	numerical	numerical	ADJ
ap-1674	63	34	integration	integration	NOUN
ap-1674	63	35	needed	need	VERB
ap-1674	63	36	for	for	ADP
ap-1674	63	37	an	an	DET
ap-1674	63	38	accurate	accurate	ADJ
ap-1674	63	39	evaluation	evaluation	NOUN
ap-1674	63	40	of	of	ADP
ap-1674	63	41	coefficients	coefficient	NOUN
ap-1674	63	42	anm	anm	PROPN
ap-1674	63	43	and	and	CCONJ
ap-1674	63	44	consequently	consequently	ADV
ap-1674	63	45	also	also	ADV
ap-1674	63	46	in	in	ADP
ap-1674	63	47	the	the	DET
ap-1674	63	48	number	number	NOUN
ap-1674	63	49	of	of	ADP
ap-1674	63	50	values	value	NOUN
ap-1674	63	51	r(η	r(η	PROPN
ap-1674	63	52	,	,	PUNCT
ap-1674	63	53	ϕ	ϕ	NOUN
ap-1674	63	54	)	)	PUNCT
ap-1674	63	55	needed	need	VERB
ap-1674	63	56	for	for	ADP
ap-1674	63	57	the	the	DET
ap-1674	63	58	integration	integration	NOUN
ap-1674	63	59	.	.	PUNCT
ap-1674	64	1	the	the	DET
ap-1674	64	2	values	value	NOUN
ap-1674	64	3	of	of	ADP
ap-1674	64	4	r(η	r(η	PROPN
ap-1674	64	5	,	,	PUNCT
ap-1674	64	6	ϕ	ϕ	NOUN
ap-1674	64	7	)	)	PUNCT
ap-1674	64	8	at	at	ADP
ap-1674	64	9	the	the	DET
ap-1674	64	10	integration	integration	NOUN
ap-1674	64	11	points	point	NOUN
ap-1674	64	12	may	may	AUX
ap-1674	64	13	be	be	AUX
ap-1674	64	14	derived	derive	VERB
ap-1674	64	15	,	,	PUNCT
ap-1674	64	16	for	for	ADP
ap-1674	64	17	example	example	NOUN
ap-1674	64	18	,	,	PUNCT
ap-1674	64	19	from	from	ADP
ap-1674	64	20	a	a	DET
ap-1674	64	21	digital	digital	ADJ
ap-1674	64	22	(	(	PUNCT
ap-1674	64	23	voxel	voxel	PROPN
ap-1674	64	24	-	-	PUNCT
ap-1674	64	25	based	base	VERB
ap-1674	64	26	)	)	PUNCT
ap-1674	64	27	representation	representation	NOUN
ap-1674	64	28	of	of	ADP
ap-1674	64	29	an	an	DET
ap-1674	64	30	aggregate	aggregate	ADJ
ap-1674	64	31	particle	particle	NOUN
ap-1674	64	32	(	(	PUNCT
ap-1674	64	33	easily	easily	ADV
ap-1674	64	34	acquainted	acquaint	VERB
ap-1674	64	35	from	from	ADP
ap-1674	64	36	computer	computer	NOUN
ap-1674	64	37	tomography	tomography	NOUN
ap-1674	64	38	or	or	CCONJ
ap-1674	64	39	any	any	DET
ap-1674	64	40	other	other	ADJ
ap-1674	64	41	similar	similar	ADJ
ap-1674	64	42	scanning	scanning	NOUN
ap-1674	64	43	device	device	NOUN
ap-1674	64	44	)	)	PUNCT
ap-1674	64	45	.	.	PUNCT
ap-1674	65	1	r(η	r(η	PROPN
ap-1674	65	2	,	,	PUNCT
ap-1674	65	3	ϕ	ϕ	NOUN
ap-1674	65	4	)	)	PUNCT
ap-1674	65	5	is	be	AUX
ap-1674	65	6	defined	define	VERB
ap-1674	65	7	as	as	ADP
ap-1674	65	8	the	the	DET
ap-1674	65	9	length	length	NOUN
ap-1674	65	10	of	of	ADP
ap-1674	65	11	the	the	DET
ap-1674	65	12	segment	segment	NOUN
ap-1674	65	13	in	in	ADP
ap-1674	65	14	the	the	DET
ap-1674	65	15	direction	direction	NOUN
ap-1674	65	16	given	give	VERB
ap-1674	65	17	by	by	ADP
ap-1674	65	18	η	η	PROPN
ap-1674	65	19	and	and	CCONJ
ap-1674	65	20	ϕ	ϕ	PROPN
ap-1674	65	21	connecting	connect	VERB
ap-1674	65	22	the	the	DET
ap-1674	65	23	particle	particle	NOUN
ap-1674	65	24	center	center	NOUN
ap-1674	65	25	with	with	ADP
ap-1674	65	26	the	the	DET
ap-1674	65	27	side	side	NOUN
ap-1674	65	28	of	of	ADP
ap-1674	65	29	the	the	DET
ap-1674	65	30	voxel	voxel	PROPN
ap-1674	65	31	forming	form	VERB
ap-1674	65	32	the	the	DET
ap-1674	65	33	aggregate	aggregate	ADJ
ap-1674	65	34	particle	particle	NOUN
ap-1674	65	35	boundary	boundary	NOUN
ap-1674	65	36	(	(	PUNCT
ap-1674	65	37	figure	figure	NOUN
ap-1674	65	38	1	1	NUM
ap-1674	65	39	on	on	ADP
ap-1674	65	40	the	the	DET
ap-1674	65	41	right	right	NOUN
ap-1674	65	42	)	)	PUNCT
ap-1674	65	43	.	.	PUNCT
ap-1674	66	1	numerical	numerical	ADJ
ap-1674	66	2	experiments	experiment	NOUN
ap-1674	66	3	reveal	reveal	VERB
ap-1674	66	4	that	that	SCONJ
ap-1674	66	5	the	the	DET
ap-1674	66	6	contributions	contribution	NOUN
ap-1674	66	7	of	of	ADP
ap-1674	66	8	the	the	DET
ap-1674	66	9	expansion	expansion	NOUN
ap-1674	66	10	terms	term	NOUN
ap-1674	66	11	for	for	ADP
ap-1674	66	12	n	n	X
ap-1674	66	13	>	>	SYM
ap-1674	66	14	20	20	NUM
ap-1674	66	15	are	be	AUX
ap-1674	66	16	usually	usually	ADV
ap-1674	66	17	39	39	NUM
ap-1674	66	18	acta	acta	PROPN
ap-1674	66	19	polytechnica	polytechnica	PROPN
ap-1674	66	20	vol	vol	NOUN
ap-1674	66	21	.	.	PROPN
ap-1674	67	1	52	52	NUM
ap-1674	67	2	no	no	NOUN
ap-1674	67	3	.	.	PUNCT
ap-1674	68	1	6/2012	6/2012	NUM
ap-1674	68	2	negligible	negligible	ADJ
ap-1674	68	3	,	,	PUNCT
ap-1674	68	4	and	and	CCONJ
ap-1674	68	5	that	that	DET
ap-1674	68	6	order	order	NOUN
ap-1674	68	7	128	128	NUM
ap-1674	68	8	of	of	ADP
ap-1674	68	9	gaussian	gaussian	ADJ
ap-1674	68	10	numerical	numerical	ADJ
ap-1674	68	11	integration	integration	NOUN
ap-1674	68	12	is	be	AUX
ap-1674	68	13	sufficient	sufficient	ADJ
ap-1674	68	14	in	in	ADP
ap-1674	68	15	most	most	ADJ
ap-1674	68	16	cases	case	NOUN
ap-1674	68	17	.	.	PUNCT
ap-1674	69	1	it	it	PRON
ap-1674	69	2	is	be	AUX
ap-1674	69	3	also	also	ADV
ap-1674	69	4	important	important	ADJ
ap-1674	69	5	to	to	PART
ap-1674	69	6	realize	realize	VERB
ap-1674	69	7	that	that	SCONJ
ap-1674	69	8	growth	growth	NOUN
ap-1674	69	9	of	of	ADP
ap-1674	69	10	the	the	DET
ap-1674	69	11	expansion	expansion	NOUN
ap-1674	69	12	order	order	NOUN
ap-1674	69	13	may	may	AUX
ap-1674	69	14	lead	lead	VERB
ap-1674	69	15	not	not	PART
ap-1674	69	16	to	to	PART
ap-1674	69	17	expected	expect	VERB
ap-1674	69	18	improvement	improvement	NOUN
ap-1674	69	19	in	in	ADP
ap-1674	69	20	the	the	DET
ap-1674	69	21	geometrical	geometrical	ADJ
ap-1674	69	22	representation	representation	NOUN
ap-1674	69	23	,	,	PUNCT
ap-1674	69	24	but	but	CCONJ
ap-1674	69	25	to	to	PART
ap-1674	69	26	undesirable	undesirable	ADJ
ap-1674	69	27	capturing	capturing	NOUN
ap-1674	69	28	of	of	ADP
ap-1674	69	29	the	the	DET
ap-1674	69	30	unrealistic	unrealistic	ADJ
ap-1674	69	31	digital	digital	ADJ
ap-1674	69	32	roughness	roughness	NOUN
ap-1674	69	33	inherently	inherently	ADV
ap-1674	69	34	present	present	ADJ
ap-1674	69	35	in	in	ADP
ap-1674	69	36	the	the	DET
ap-1674	69	37	voxel	voxel	PROPN
ap-1674	69	38	-	-	PUNCT
ap-1674	69	39	based	base	VERB
ap-1674	69	40	description	description	NOUN
ap-1674	69	41	.	.	PUNCT
ap-1674	70	1	an	an	DET
ap-1674	70	2	example	example	NOUN
ap-1674	70	3	of	of	ADP
ap-1674	70	4	the	the	DET
ap-1674	70	5	representation	representation	NOUN
ap-1674	70	6	of	of	ADP
ap-1674	70	7	a	a	DET
ap-1674	70	8	particular	particular	ADJ
ap-1674	70	9	aggregate	aggregate	ADJ
ap-1674	70	10	particle	particle	NOUN
ap-1674	70	11	using	use	VERB
ap-1674	70	12	spherical	spherical	ADJ
ap-1674	70	13	harmonic	harmonic	ADJ
ap-1674	70	14	expansion	expansion	NOUN
ap-1674	70	15	with	with	ADP
ap-1674	70	16	128	128	NUM
ap-1674	70	17	-	-	PUNCT
ap-1674	70	18	point	point	NOUN
ap-1674	70	19	gaussian	gaussian	ADJ
ap-1674	70	20	numerical	numerical	ADJ
ap-1674	70	21	integration	integration	NOUN
ap-1674	70	22	is	be	AUX
ap-1674	70	23	shown	show	VERB
ap-1674	70	24	in	in	ADP
ap-1674	70	25	figure	figure	NOUN
ap-1674	70	26	2	2	NUM
ap-1674	70	27	for	for	ADP
ap-1674	70	28	different	different	ADJ
ap-1674	70	29	values	value	NOUN
ap-1674	70	30	of	of	ADP
ap-1674	70	31	n	n	PROPN
ap-1674	70	32	.	.	PUNCT
ap-1674	71	1	after	after	SCONJ
ap-1674	71	2	the	the	DET
ap-1674	71	3	spherical	spherical	ADJ
ap-1674	71	4	harmonic	harmonic	ADJ
ap-1674	71	5	analysis	analysis	NOUN
ap-1674	71	6	is	be	AUX
ap-1674	71	7	completed	complete	VERB
ap-1674	71	8	,	,	PUNCT
ap-1674	71	9	the	the	DET
ap-1674	71	10	aggregate	aggregate	ADJ
ap-1674	71	11	particle	particle	NOUN
ap-1674	71	12	in	in	ADP
ap-1674	71	13	a	a	DET
ap-1674	71	14	general	general	ADJ
ap-1674	71	15	location	location	NOUN
ap-1674	71	16	is	be	AUX
ap-1674	71	17	represented	represent	VERB
ap-1674	71	18	by	by	ADP
ap-1674	71	19	its	its	PRON
ap-1674	71	20	origin	origin	NOUN
ap-1674	71	21	and	and	CCONJ
ap-1674	71	22	unit	unit	NOUN
ap-1674	71	23	vectors	vector	NOUN
ap-1674	71	24	,	,	PUNCT
ap-1674	71	25	corresponding	correspond	VERB
ap-1674	71	26	to	to	ADP
ap-1674	71	27	the	the	DET
ap-1674	71	28	positive	positive	ADJ
ap-1674	71	29	x	x	NOUN
ap-1674	71	30	,	,	PUNCT
ap-1674	71	31	y	y	PROPN
ap-1674	71	32	,	,	PUNCT
ap-1674	71	33	and	and	CCONJ
ap-1674	71	34	z	z	NOUN
ap-1674	71	35	axes	axis	NOUN
ap-1674	71	36	of	of	ADP
ap-1674	71	37	the	the	DET
ap-1674	71	38	local	local	ADJ
ap-1674	71	39	spherical	spherical	ADJ
ap-1674	71	40	coordinate	coordinate	NOUN
ap-1674	71	41	system	system	NOUN
ap-1674	71	42	used	use	VERB
ap-1674	71	43	for	for	ADP
ap-1674	71	44	spherical	spherical	ADJ
ap-1674	71	45	harmonic	harmonic	ADJ
ap-1674	71	46	expansion	expansion	NOUN
ap-1674	71	47	,	,	PUNCT
ap-1674	71	48	by	by	ADP
ap-1674	71	49	the	the	DET
ap-1674	71	50	order	order	NOUN
ap-1674	71	51	of	of	ADP
ap-1674	71	52	the	the	DET
ap-1674	71	53	expansion	expansion	NOUN
ap-1674	71	54	,	,	PUNCT
ap-1674	71	55	and	and	CCONJ
ap-1674	71	56	by	by	ADP
ap-1674	71	57	the	the	DET
ap-1674	71	58	set	set	NOUN
ap-1674	71	59	of	of	ADP
ap-1674	71	60	expansion	expansion	NOUN
ap-1674	71	61	coefficients	coefficient	NOUN
ap-1674	71	62	.	.	PUNCT
ap-1674	72	1	for	for	ADP
ap-1674	72	2	an	an	DET
ap-1674	72	3	evaluation	evaluation	NOUN
ap-1674	72	4	of	of	ADP
ap-1674	72	5	most	most	ADJ
ap-1674	72	6	geometrical	geometrical	ADJ
ap-1674	72	7	properties1	properties1	NOUN
ap-1674	72	8	only	only	ADV
ap-1674	72	9	the	the	DET
ap-1674	72	10	last	last	ADJ
ap-1674	72	11	two	two	NUM
ap-1674	72	12	parameters	parameter	NOUN
ap-1674	72	13	,	,	PUNCT
ap-1674	72	14	the	the	DET
ap-1674	72	15	order	order	NOUN
ap-1674	72	16	of	of	ADP
ap-1674	72	17	the	the	DET
ap-1674	72	18	expansion	expansion	NOUN
ap-1674	72	19	and	and	CCONJ
ap-1674	72	20	the	the	DET
ap-1674	72	21	expansion	expansion	NOUN
ap-1674	72	22	coefficients	coefficient	NOUN
ap-1674	72	23	,	,	PUNCT
ap-1674	72	24	are	be	AUX
ap-1674	72	25	relevant	relevant	ADJ
ap-1674	72	26	.	.	PUNCT
ap-1674	73	1	the	the	DET
ap-1674	73	2	remaining	remain	VERB
ap-1674	73	3	parameters	parameter	NOUN
ap-1674	73	4	describe	describe	VERB
ap-1674	73	5	the	the	DET
ap-1674	73	6	spatial	spatial	ADJ
ap-1674	73	7	location	location	NOUN
ap-1674	73	8	of	of	ADP
ap-1674	73	9	the	the	DET
ap-1674	73	10	aggregate	aggregate	ADJ
ap-1674	73	11	particle	particle	NOUN
ap-1674	73	12	,	,	PUNCT
ap-1674	73	13	and	and	CCONJ
ap-1674	73	14	may	may	AUX
ap-1674	73	15	be	be	AUX
ap-1674	73	16	used	use	VERB
ap-1674	73	17	for	for	ADP
ap-1674	73	18	evaluating	evaluate	VERB
ap-1674	73	19	some	some	PRON
ap-1674	73	20	of	of	ADP
ap-1674	73	21	the	the	DET
ap-1674	73	22	geometrical	geometrical	ADJ
ap-1674	73	23	properties	property	NOUN
ap-1674	73	24	in	in	ADP
ap-1674	73	25	the	the	DET
ap-1674	73	26	global	global	ADJ
ap-1674	73	27	cartesian	cartesian	ADJ
ap-1674	73	28	coordinate	coordinate	NOUN
ap-1674	73	29	system	system	NOUN
ap-1674	73	30	.	.	PUNCT
ap-1674	74	1	3	3	NUM
ap-1674	74	2	packing	pack	VERB
ap-1674	74	3	algorithm	algorithm	NOUN
ap-1674	74	4	in	in	ADP
ap-1674	74	5	order	order	NOUN
ap-1674	74	6	to	to	PART
ap-1674	74	7	model	model	VERB
ap-1674	74	8	a	a	DET
ap-1674	74	9	concrete	concrete	ADJ
ap-1674	74	10	specimen	speciman	NOUN
ap-1674	74	11	with	with	ADP
ap-1674	74	12	the	the	DET
ap-1674	74	13	aggregate	aggregate	ADJ
ap-1674	74	14	distribution	distribution	NOUN
ap-1674	74	15	reasonably	reasonably	ADV
ap-1674	74	16	matching	match	VERB
ap-1674	74	17	the	the	DET
ap-1674	74	18	realistic	realistic	ADJ
ap-1674	74	19	shapes	shape	NOUN
ap-1674	74	20	and	and	CCONJ
ap-1674	74	21	volumetric	volumetric	ADJ
ap-1674	74	22	fractions	fraction	NOUN
ap-1674	74	23	of	of	ADP
ap-1674	74	24	aggregate	aggregate	ADJ
ap-1674	74	25	particles	particle	NOUN
ap-1674	74	26	of	of	ADP
ap-1674	74	27	various	various	ADJ
ap-1674	74	28	size	size	NOUN
ap-1674	74	29	grades	grade	NOUN
ap-1674	74	30	,	,	PUNCT
ap-1674	74	31	it	it	PRON
ap-1674	74	32	is	be	AUX
ap-1674	74	33	necessary	necessary	ADJ
ap-1674	74	34	to	to	PART
ap-1674	74	35	employ	employ	VERB
ap-1674	74	36	an	an	DET
ap-1674	74	37	appropriate	appropriate	ADJ
ap-1674	74	38	packing	packing	NOUN
ap-1674	74	39	algorithm	algorithm	NOUN
ap-1674	74	40	that	that	PRON
ap-1674	74	41	assembles	assemble	VERB
ap-1674	74	42	aggregate	aggregate	VERB
ap-1674	74	43	particles	particle	NOUN
ap-1674	74	44	into	into	ADP
ap-1674	74	45	a	a	DET
ap-1674	74	46	representative	representative	ADJ
ap-1674	74	47	volume	volume	NOUN
ap-1674	74	48	.	.	PUNCT
ap-1674	75	1	this	this	DET
ap-1674	75	2	kind	kind	NOUN
ap-1674	75	3	of	of	ADP
ap-1674	75	4	algorithm	algorithm	NOUN
ap-1674	75	5	should	should	AUX
ap-1674	75	6	(	(	PUNCT
ap-1674	75	7	i	i	NOUN
ap-1674	75	8	)	)	PUNCT
ap-1674	75	9	ensure	ensure	VERB
ap-1674	75	10	sufficient	sufficient	ADJ
ap-1674	75	11	randomness	randomness	NOUN
ap-1674	75	12	,	,	PUNCT
ap-1674	75	13	(	(	PUNCT
ap-1674	75	14	ii	ii	NOUN
ap-1674	75	15	)	)	PUNCT
ap-1674	75	16	comply	comply	NOUN
ap-1674	75	17	with	with	ADP
ap-1674	75	18	the	the	DET
ap-1674	75	19	volumetric	volumetric	NOUN
ap-1674	75	20	content	content	NOUN
ap-1674	75	21	and	and	CCONJ
ap-1674	75	22	the	the	DET
ap-1674	75	23	statistical	statistical	ADJ
ap-1674	75	24	distribution	distribution	NOUN
ap-1674	75	25	of	of	ADP
ap-1674	75	26	size	size	NOUN
ap-1674	75	27	grades	grade	NOUN
ap-1674	75	28	of	of	ADP
ap-1674	75	29	the	the	DET
ap-1674	75	30	individual	individual	ADJ
ap-1674	75	31	aggregates	aggregate	NOUN
ap-1674	75	32	,	,	PUNCT
ap-1674	75	33	and	and	CCONJ
ap-1674	75	34	(	(	PUNCT
ap-1674	75	35	iii	iii	X
ap-1674	75	36	)	)	PUNCT
ap-1674	75	37	prevent	prevent	NOUN
ap-1674	75	38	overlapping	overlapping	NOUN
ap-1674	75	39	of	of	ADP
ap-1674	75	40	individual	individual	ADJ
ap-1674	75	41	aggregate	aggregate	ADJ
ap-1674	75	42	particles	particle	NOUN
ap-1674	75	43	.	.	PUNCT
ap-1674	76	1	this	this	PRON
ap-1674	76	2	is	be	AUX
ap-1674	76	3	a	a	DET
ap-1674	76	4	non	non	ADJ
ap-1674	76	5	-	-	ADJ
ap-1674	76	6	trivial	trivial	ADJ
ap-1674	76	7	task	task	NOUN
ap-1674	76	8	when	when	SCONJ
ap-1674	76	9	realistic	realistic	ADJ
ap-1674	76	10	aggregate	aggregate	ADJ
ap-1674	76	11	shapes	shape	NOUN
ap-1674	76	12	are	be	AUX
ap-1674	76	13	considered	consider	VERB
ap-1674	76	14	.	.	PUNCT
ap-1674	77	1	there	there	PRON
ap-1674	77	2	are	be	VERB
ap-1674	77	3	many	many	ADJ
ap-1674	77	4	packing	packing	NOUN
ap-1674	77	5	strategies	strategy	NOUN
ap-1674	77	6	[	[	X
ap-1674	77	7	15	15	NUM
ap-1674	77	8	,	,	PUNCT
ap-1674	77	9	16	16	NUM
ap-1674	77	10	,	,	PUNCT
ap-1674	77	11	17	17	NUM
ap-1674	77	12	,	,	PUNCT
ap-1674	77	13	18	18	NUM
ap-1674	77	14	,	,	PUNCT
ap-1674	77	15	19	19	NUM
ap-1674	77	16	,	,	PUNCT
ap-1674	77	17	20	20	NUM
ap-1674	77	18	]	]	PUNCT
ap-1674	77	19	designated	designate	VERB
ap-1674	77	20	for	for	ADP
ap-1674	77	21	spherical	spherical	ADJ
ap-1674	77	22	,	,	PUNCT
ap-1674	77	23	cylindrical	cylindrical	ADJ
ap-1674	77	24	,	,	PUNCT
ap-1674	77	25	and	and	CCONJ
ap-1674	77	26	ellipsoidal	ellipsoidal	ADJ
ap-1674	77	27	inclusions	inclusion	NOUN
ap-1674	77	28	,	,	PUNCT
ap-1674	77	29	but	but	CCONJ
ap-1674	77	30	many	many	ADJ
ap-1674	77	31	of	of	ADP
ap-1674	77	32	them	they	PRON
ap-1674	77	33	are	be	AUX
ap-1674	77	34	specialized	specialize	VERB
ap-1674	77	35	for	for	ADP
ap-1674	77	36	a	a	DET
ap-1674	77	37	particular	particular	ADJ
ap-1674	77	38	purpose	purpose	NOUN
ap-1674	77	39	,	,	PUNCT
ap-1674	77	40	or	or	CCONJ
ap-1674	77	41	are	be	AUX
ap-1674	77	42	restricted	restrict	VERB
ap-1674	77	43	by	by	ADP
ap-1674	77	44	some	some	DET
ap-1674	77	45	constraints	constraint	NOUN
ap-1674	77	46	not	not	PART
ap-1674	77	47	applicable	applicable	ADJ
ap-1674	77	48	to	to	ADP
ap-1674	77	49	the	the	DET
ap-1674	77	50	problem	problem	NOUN
ap-1674	77	51	of	of	ADP
ap-1674	77	52	aggregate	aggregate	ADJ
ap-1674	77	53	packing	packing	NOUN
ap-1674	77	54	.	.	PUNCT
ap-1674	78	1	the	the	DET
ap-1674	78	2	most	most	ADV
ap-1674	78	3	common	common	ADJ
ap-1674	78	4	packing	packing	NOUN
ap-1674	78	5	approach	approach	NOUN
ap-1674	78	6	is	be	AUX
ap-1674	78	7	based	base	VERB
ap-1674	78	8	on	on	ADP
ap-1674	78	9	the	the	DET
ap-1674	78	10	so	so	ADV
ap-1674	78	11	-	-	PUNCT
ap-1674	78	12	called	call	VERB
ap-1674	78	13	take	take	VERB
ap-1674	78	14	-	-	PUNCT
ap-1674	78	15	and	and	CCONJ
ap-1674	78	16	-	-	PUNCT
ap-1674	78	17	place	place	NOUN
ap-1674	78	18	method	method	NOUN
ap-1674	78	19	(	(	PUNCT
ap-1674	78	20	[	[	X
ap-1674	78	21	21	21	NUM
ap-1674	78	22	,	,	PUNCT
ap-1674	78	23	22	22	NUM
ap-1674	78	24	,	,	PUNCT
ap-1674	78	25	23	23	NUM
ap-1674	78	26	]	]	PUNCT
ap-1674	78	27	)	)	PUNCT
ap-1674	78	28	,	,	PUNCT
ap-1674	78	29	which	which	PRON
ap-1674	78	30	is	be	AUX
ap-1674	78	31	also	also	ADV
ap-1674	78	32	employed	employ	VERB
ap-1674	78	33	in	in	ADP
ap-1674	78	34	the	the	DET
ap-1674	78	35	present	present	ADJ
ap-1674	78	36	study	study	NOUN
ap-1674	78	37	.	.	PUNCT
ap-1674	79	1	in	in	ADP
ap-1674	79	2	the	the	DET
ap-1674	79	3	first	first	ADJ
ap-1674	79	4	phase	phase	NOUN
ap-1674	79	5	,	,	PUNCT
ap-1674	79	6	the	the	DET
ap-1674	79	7	particles	particle	NOUN
ap-1674	79	8	are	be	AUX
ap-1674	79	9	randomly	randomly	ADV
ap-1674	79	10	chosen	choose	VERB
ap-1674	79	11	from	from	ADP
ap-1674	79	12	a	a	DET
ap-1674	79	13	container	container	NOUN
ap-1674	79	14	of	of	ADP
ap-1674	79	15	predefined	predefine	VERB
ap-1674	79	16	and	and	CCONJ
ap-1674	79	17	sufficiently	sufficiently	ADV
ap-1674	79	18	representative	representative	ADJ
ap-1674	79	19	shapes	shape	NOUN
ap-1674	79	20	of	of	ADP
ap-1674	79	21	aggregates	aggregate	NOUN
ap-1674	79	22	of	of	ADP
ap-1674	79	23	a	a	DET
ap-1674	79	24	particular	particular	ADJ
ap-1674	79	25	type	type	NOUN
ap-1674	79	26	(	(	PUNCT
ap-1674	79	27	e.g.	e.g.	ADV
ap-1674	79	28	artificially	artificially	ADV
ap-1674	79	29	crushed	crush	VERB
ap-1674	79	30	aggregates	aggregate	NOUN
ap-1674	79	31	or	or	CCONJ
ap-1674	79	32	natural	natural	ADJ
ap-1674	79	33	aggregates	aggregate	NOUN
ap-1674	79	34	from	from	ADP
ap-1674	79	35	a	a	DET
ap-1674	79	36	riverbed	riverbed	NOUN
ap-1674	79	37	)	)	PUNCT
ap-1674	79	38	.	.	PUNCT
ap-1674	80	1	each	each	DET
ap-1674	80	2	particle	particle	NOUN
ap-1674	80	3	is	be	AUX
ap-1674	80	4	randomly	randomly	ADV
ap-1674	80	5	scaled	scale	VERB
ap-1674	80	6	to	to	PART
ap-1674	80	7	fit	fit	VERB
ap-1674	80	8	into	into	ADP
ap-1674	80	9	a	a	DET
ap-1674	80	10	particular	particular	ADJ
ap-1674	80	11	size	size	NOUN
ap-1674	80	12	grade	grade	NOUN
ap-1674	80	13	and	and	CCONJ
ap-1674	80	14	,	,	PUNCT
ap-1674	80	15	its	its	PRON
ap-1674	80	16	volume	volume	NOUN
ap-1674	80	17	is	be	AUX
ap-1674	80	18	1with	1with	NUM
ap-1674	80	19	respect	respect	NOUN
ap-1674	80	20	to	to	ADP
ap-1674	80	21	the	the	DET
ap-1674	80	22	present	present	ADJ
ap-1674	80	23	work	work	NOUN
ap-1674	80	24	only	only	ADV
ap-1674	80	25	the	the	DET
ap-1674	80	26	volume	volume	NOUN
ap-1674	80	27	,	,	PUNCT
ap-1674	80	28	needed	need	VERB
ap-1674	80	29	for	for	ADP
ap-1674	80	30	the	the	DET
ap-1674	80	31	evaluation	evaluation	NOUN
ap-1674	80	32	of	of	ADP
ap-1674	80	33	aggregates	aggregate	NOUN
ap-1674	80	34	volume	volume	NOUN
ap-1674	80	35	fraction	fraction	NOUN
ap-1674	80	36	,	,	PUNCT
ap-1674	80	37	and	and	CCONJ
ap-1674	80	38	the	the	DET
ap-1674	80	39	first	first	ADJ
ap-1674	80	40	gradients	gradient	NOUN
ap-1674	80	41	of	of	ADP
ap-1674	80	42	the	the	DET
ap-1674	80	43	r	r	NOUN
ap-1674	80	44	with	with	ADP
ap-1674	80	45	respect	respect	NOUN
ap-1674	80	46	to	to	ADP
ap-1674	80	47	η	η	PROPN
ap-1674	80	48	and	and	CCONJ
ap-1674	80	49	ϕ	ϕ	PROPN
ap-1674	80	50	,	,	PUNCT
ap-1674	80	51	needed	need	VERB
ap-1674	80	52	for	for	ADP
ap-1674	80	53	the	the	DET
ap-1674	80	54	intersection	intersection	NOUN
ap-1674	80	55	check	check	NOUN
ap-1674	80	56	,	,	PUNCT
ap-1674	80	57	are	be	AUX
ap-1674	80	58	of	of	ADP
ap-1674	80	59	interest	interest	NOUN
ap-1674	80	60	.	.	PUNCT
ap-1674	81	1	figure	figure	NOUN
ap-1674	81	2	2	2	NUM
ap-1674	81	3	:	:	PUNCT
ap-1674	81	4	representation	representation	NOUN
ap-1674	81	5	of	of	ADP
ap-1674	81	6	an	an	DET
ap-1674	81	7	aggregate	aggregate	ADJ
ap-1674	81	8	particle	particle	NOUN
ap-1674	81	9	by	by	ADP
ap-1674	81	10	spherical	spherical	ADJ
ap-1674	81	11	harmonic	harmonic	ADJ
ap-1674	81	12	expansion	expansion	NOUN
ap-1674	81	13	of	of	ADP
ap-1674	81	14	order	order	NOUN
ap-1674	81	15	5	5	NUM
ap-1674	81	16	,	,	PUNCT
ap-1674	81	17	10	10	NUM
ap-1674	81	18	,	,	PUNCT
ap-1674	81	19	15	15	NUM
ap-1674	81	20	,	,	PUNCT
ap-1674	81	21	20	20	NUM
ap-1674	81	22	,	,	PUNCT
ap-1674	81	23	25	25	NUM
ap-1674	81	24	,	,	PUNCT
ap-1674	81	25	and	and	CCONJ
ap-1674	81	26	30	30	NUM
ap-1674	81	27	(	(	PUNCT
ap-1674	81	28	from	from	ADP
ap-1674	81	29	left	leave	VERB
ap-1674	81	30	to	to	ADP
ap-1674	81	31	right	right	NOUN
ap-1674	81	32	and	and	CCONJ
ap-1674	81	33	from	from	ADP
ap-1674	81	34	top	top	NOUN
ap-1674	81	35	to	to	ADP
ap-1674	81	36	bottom	bottom	NOUN
ap-1674	81	37	)	)	PUNCT
ap-1674	81	38	.	.	PUNCT
ap-1674	82	1	added	add	VERB
ap-1674	82	2	to	to	ADP
ap-1674	82	3	the	the	DET
ap-1674	82	4	volumetric	volumetric	ADJ
ap-1674	82	5	content	content	NOUN
ap-1674	82	6	of	of	ADP
ap-1674	82	7	that	that	DET
ap-1674	82	8	grade	grade	NOUN
ap-1674	82	9	.	.	PUNCT
ap-1674	83	1	the	the	DET
ap-1674	83	2	individual	individual	ADJ
ap-1674	83	3	size	size	NOUN
ap-1674	83	4	grades	grade	NOUN
ap-1674	83	5	are	be	AUX
ap-1674	83	6	processed	process	VERB
ap-1674	83	7	sequentially	sequentially	ADV
ap-1674	83	8	in	in	ADP
ap-1674	83	9	descending	descend	VERB
ap-1674	83	10	order	order	NOUN
ap-1674	83	11	with	with	ADP
ap-1674	83	12	respect	respect	NOUN
ap-1674	83	13	to	to	ADP
ap-1674	83	14	the	the	DET
ap-1674	83	15	sieve	sieve	NOUN
ap-1674	83	16	size	size	NOUN
ap-1674	83	17	,	,	PUNCT
ap-1674	83	18	until	until	SCONJ
ap-1674	83	19	the	the	DET
ap-1674	83	20	desired	desire	VERB
ap-1674	83	21	volumetric	volumetric	NOUN
ap-1674	83	22	content	content	NOUN
ap-1674	83	23	is	be	AUX
ap-1674	83	24	reached	reach	VERB
ap-1674	83	25	.	.	PUNCT
ap-1674	84	1	in	in	ADP
ap-1674	84	2	the	the	DET
ap-1674	84	3	next	next	ADJ
ap-1674	84	4	phase	phase	NOUN
ap-1674	84	5	,	,	PUNCT
ap-1674	84	6	which	which	PRON
ap-1674	84	7	is	be	AUX
ap-1674	84	8	computationally	computationally	ADV
ap-1674	84	9	most	most	ADV
ap-1674	84	10	demanding	demanding	ADJ
ap-1674	84	11	,	,	PUNCT
ap-1674	84	12	the	the	DET
ap-1674	84	13	individual	individual	ADJ
ap-1674	84	14	particles	particle	NOUN
ap-1674	84	15	are	be	AUX
ap-1674	84	16	placed	place	VERB
ap-1674	84	17	into	into	ADP
ap-1674	84	18	the	the	DET
ap-1674	84	19	representative	representative	ADJ
ap-1674	84	20	volume	volume	NOUN
ap-1674	84	21	in	in	ADP
ap-1674	84	22	descending	descend	VERB
ap-1674	84	23	order	order	NOUN
ap-1674	84	24	with	with	ADP
ap-1674	84	25	respect	respect	NOUN
ap-1674	84	26	to	to	ADP
ap-1674	84	27	the	the	DET
ap-1674	84	28	radius	radius	NOUN
ap-1674	84	29	of	of	ADP
ap-1674	84	30	their	their	PRON
ap-1674	84	31	bounding	bounding	NOUN
ap-1674	84	32	sphere	sphere	ADV
ap-1674	84	33	.	.	PUNCT
ap-1674	85	1	each	each	DET
ap-1674	85	2	particle	particle	NOUN
ap-1674	85	3	is	be	AUX
ap-1674	85	4	first	first	ADV
ap-1674	85	5	randomly	randomly	ADV
ap-1674	85	6	rotated	rotate	VERB
ap-1674	85	7	,	,	PUNCT
ap-1674	85	8	and	and	CCONJ
ap-1674	85	9	then	then	ADV
ap-1674	85	10	its	its	PRON
ap-1674	85	11	tentative	tentative	ADJ
ap-1674	85	12	location	location	NOUN
ap-1674	85	13	in	in	ADP
ap-1674	85	14	the	the	DET
ap-1674	85	15	representative	representative	ADJ
ap-1674	85	16	volume	volume	NOUN
ap-1674	85	17	is	be	AUX
ap-1674	85	18	randomly	randomly	ADV
ap-1674	85	19	generated	generate	VERB
ap-1674	85	20	.	.	PUNCT
ap-1674	86	1	note	note	VERB
ap-1674	86	2	that	that	SCONJ
ap-1674	86	3	if	if	SCONJ
ap-1674	86	4	the	the	DET
ap-1674	86	5	periodic	periodic	ADJ
ap-1674	86	6	representative	representative	ADJ
ap-1674	86	7	volume	volume	NOUN
ap-1674	86	8	is	be	AUX
ap-1674	86	9	treated	treat	VERB
ap-1674	86	10	,	,	PUNCT
ap-1674	86	11	the	the	DET
ap-1674	86	12	periodic	periodic	ADJ
ap-1674	86	13	counterpart(s	counterpart(s	PROPN
ap-1674	86	14	)	)	PUNCT
ap-1674	86	15	of	of	ADP
ap-1674	86	16	the	the	DET
ap-1674	86	17	processed	process	VERB
ap-1674	86	18	particle	particle	NOUN
ap-1674	86	19	must	must	AUX
ap-1674	86	20	also	also	ADV
ap-1674	86	21	be	be	AUX
ap-1674	86	22	handled	handle	VERB
ap-1674	86	23	.	.	PUNCT
ap-1674	87	1	before	before	SCONJ
ap-1674	87	2	the	the	DET
ap-1674	87	3	tentative	tentative	ADJ
ap-1674	87	4	location	location	NOUN
ap-1674	87	5	is	be	AUX
ap-1674	87	6	accepted	accept	VERB
ap-1674	87	7	,	,	PUNCT
ap-1674	87	8	it	it	PRON
ap-1674	87	9	has	have	VERB
ap-1674	87	10	to	to	PART
ap-1674	87	11	be	be	AUX
ap-1674	87	12	verified	verify	VERB
ap-1674	87	13	that	that	SCONJ
ap-1674	87	14	the	the	DET
ap-1674	87	15	particle	particle	NOUN
ap-1674	87	16	(	(	PUNCT
ap-1674	87	17	and	and	CCONJ
ap-1674	87	18	its	its	PRON
ap-1674	87	19	periodic	periodic	ADJ
ap-1674	87	20	counterpart(s	counterpart(s	PROPN
ap-1674	87	21	)	)	PUNCT
ap-1674	87	22	)	)	PUNCT
ap-1674	87	23	does	do	AUX
ap-1674	87	24	not	not	PART
ap-1674	87	25	overlap	overlap	VERB
ap-1674	87	26	with	with	ADP
ap-1674	87	27	any	any	PRON
ap-1674	87	28	of	of	ADP
ap-1674	87	29	the	the	DET
ap-1674	87	30	already	already	ADV
ap-1674	87	31	inserted	insert	VERB
ap-1674	87	32	particles	particle	NOUN
ap-1674	87	33	and	and	CCONJ
ap-1674	87	34	,	,	PUNCT
ap-1674	87	35	if	if	SCONJ
ap-1674	87	36	the	the	DET
ap-1674	87	37	periodicity	periodicity	NOUN
ap-1674	87	38	is	be	AUX
ap-1674	87	39	not	not	PART
ap-1674	87	40	considered	consider	VERB
ap-1674	87	41	,	,	PUNCT
ap-1674	87	42	that	that	SCONJ
ap-1674	87	43	it	it	PRON
ap-1674	87	44	does	do	AUX
ap-1674	87	45	not	not	PART
ap-1674	87	46	intersect	intersect	VERB
ap-1674	87	47	the	the	DET
ap-1674	87	48	boundary	boundary	NOUN
ap-1674	87	49	of	of	ADP
ap-1674	87	50	the	the	DET
ap-1674	87	51	representative	representative	ADJ
ap-1674	87	52	volume	volume	NOUN
ap-1674	87	53	.	.	PUNCT
ap-1674	88	1	if	if	SCONJ
ap-1674	88	2	an	an	DET
ap-1674	88	3	overlap	overlap	NOUN
ap-1674	88	4	or	or	CCONJ
ap-1674	88	5	an	an	DET
ap-1674	88	6	intersection	intersection	NOUN
ap-1674	88	7	is	be	AUX
ap-1674	88	8	detected	detect	VERB
ap-1674	88	9	,	,	PUNCT
ap-1674	88	10	a	a	DET
ap-1674	88	11	new	new	ADJ
ap-1674	88	12	position	position	NOUN
ap-1674	88	13	(	(	PUNCT
ap-1674	88	14	and	and	CCONJ
ap-1674	88	15	after	after	ADP
ap-1674	88	16	a	a	DET
ap-1674	88	17	large	large	ADJ
ap-1674	88	18	number	number	NOUN
ap-1674	88	19	of	of	ADP
ap-1674	88	20	unsuccessful	unsuccessful	ADJ
ap-1674	88	21	attempts	attempt	NOUN
ap-1674	88	22	also	also	ADV
ap-1674	88	23	a	a	DET
ap-1674	88	24	new	new	ADJ
ap-1674	88	25	rotation	rotation	NOUN
ap-1674	88	26	)	)	PUNCT
ap-1674	88	27	is	be	AUX
ap-1674	88	28	randomly	randomly	ADV
ap-1674	88	29	generated	generate	VERB
ap-1674	88	30	and	and	CCONJ
ap-1674	88	31	the	the	DET
ap-1674	88	32	process	process	NOUN
ap-1674	88	33	is	be	AUX
ap-1674	88	34	repeated	repeat	VERB
ap-1674	88	35	until	until	SCONJ
ap-1674	88	36	the	the	DET
ap-1674	88	37	location	location	NOUN
ap-1674	88	38	can	can	AUX
ap-1674	88	39	be	be	AUX
ap-1674	88	40	accepted	accept	VERB
ap-1674	88	41	.	.	PUNCT
ap-1674	89	1	note	note	VERB
ap-1674	89	2	that	that	SCONJ
ap-1674	89	3	the	the	DET
ap-1674	89	4	above	above	ADJ
ap-1674	89	5	algorithm	algorithm	NOUN
ap-1674	89	6	is	be	AUX
ap-1674	89	7	suitable	suitable	ADJ
ap-1674	89	8	only	only	ADV
ap-1674	89	9	for	for	ADP
ap-1674	89	10	realistic	realistic	ADJ
ap-1674	89	11	size	size	NOUN
ap-1674	89	12	grading	grade	VERB
ap-1674	89	13	with	with	ADP
ap-1674	89	14	volumetric	volumetric	ADJ
ap-1674	89	15	content	content	NOUN
ap-1674	89	16	of	of	ADP
ap-1674	89	17	the	the	DET
ap-1674	89	18	aggregates	aggregate	NOUN
ap-1674	89	19	not	not	PART
ap-1674	89	20	exceeding	exceed	VERB
ap-1674	89	21	50–60	50–60	NUM
ap-1674	89	22	%	%	NOUN
ap-1674	89	23	of	of	ADP
ap-1674	89	24	the	the	DET
ap-1674	89	25	total	total	ADJ
ap-1674	89	26	representative	representative	ADJ
ap-1674	89	27	volume	volume	NOUN
ap-1674	89	28	.	.	PUNCT
ap-1674	90	1	for	for	ADP
ap-1674	90	2	higher	high	ADJ
ap-1674	90	3	volumetric	volumetric	NOUN
ap-1674	90	4	content	content	NOUN
ap-1674	90	5	or	or	CCONJ
ap-1674	90	6	for	for	ADP
ap-1674	90	7	unusual	unusual	ADJ
ap-1674	90	8	size	size	NOUN
ap-1674	90	9	grading	grade	VERB
ap-1674	90	10	,	,	PUNCT
ap-1674	90	11	alternative	alternative	ADJ
ap-1674	90	12	more	more	ADV
ap-1674	90	13	sophisticated	sophisticated	ADJ
ap-1674	90	14	packing	packing	NOUN
ap-1674	90	15	procedures	procedure	NOUN
ap-1674	90	16	(	(	PUNCT
ap-1674	90	17	see	see	VERB
ap-1674	90	18	[	[	X
ap-1674	90	19	24	24	NUM
ap-1674	90	20	,	,	PUNCT
ap-1674	90	21	25	25	NUM
ap-1674	90	22	,	,	PUNCT
ap-1674	90	23	26	26	NUM
ap-1674	90	24	]	]	PUNCT
ap-1674	90	25	for	for	ADP
ap-1674	90	26	example	example	NOUN
ap-1674	90	27	)	)	PUNCT
ap-1674	90	28	are	be	AUX
ap-1674	90	29	necessary	necessary	ADJ
ap-1674	90	30	.	.	PUNCT
ap-1674	91	1	the	the	DET
ap-1674	91	2	crucial	crucial	ADJ
ap-1674	91	3	aspect	aspect	NOUN
ap-1674	91	4	of	of	ADP
ap-1674	91	5	the	the	DET
ap-1674	91	6	packing	packing	NOUN
ap-1674	91	7	algorithm	algorithm	NOUN
ap-1674	91	8	is	be	AUX
ap-1674	91	9	the	the	DET
ap-1674	91	10	intersection	intersection	NOUN
ap-1674	91	11	check	check	NOUN
ap-1674	91	12	.	.	PUNCT
ap-1674	92	1	in	in	ADP
ap-1674	92	2	order	order	NOUN
ap-1674	92	3	to	to	PART
ap-1674	92	4	make	make	VERB
ap-1674	92	5	it	it	PRON
ap-1674	92	6	efficient	efficient	ADJ
ap-1674	92	7	,	,	PUNCT
ap-1674	92	8	an	an	DET
ap-1674	92	9	octree	octree	NOUN
ap-1674	92	10	data	data	NOUN
ap-1674	92	11	structure	structure	NOUN
ap-1674	92	12	is	be	AUX
ap-1674	92	13	used	use	VERB
ap-1674	92	14	to	to	PART
ap-1674	92	15	easily	easily	ADV
ap-1674	92	16	identify	identify	VERB
ap-1674	92	17	pairs	pair	NOUN
ap-1674	92	18	of	of	ADP
ap-1674	92	19	particles	particle	NOUN
ap-1674	92	20	which	which	PRON
ap-1674	92	21	could	could	AUX
ap-1674	92	22	potentially	potentially	ADV
ap-1674	92	23	overlap	overlap	VERB
ap-1674	92	24	.	.	PUNCT
ap-1674	93	1	although	although	SCONJ
ap-1674	93	2	many	many	ADJ
ap-1674	93	3	intersection	intersection	NOUN
ap-1674	93	4	checks	check	NOUN
ap-1674	93	5	can	can	AUX
ap-1674	93	6	be	be	AUX
ap-1674	93	7	resolved	resolve	VERB
ap-1674	93	8	using	use	VERB
ap-1674	93	9	the	the	DET
ap-1674	93	10	bounding	bounding	NOUN
ap-1674	93	11	spheres	sphere	NOUN
ap-1674	93	12	of	of	ADP
ap-1674	93	13	individual	individual	ADJ
ap-1674	93	14	particles	particle	NOUN
ap-1674	93	15	(	(	PUNCT
ap-1674	93	16	a	a	DET
ap-1674	93	17	single	single	ADJ
ap-1674	93	18	bounding	bounding	NOUN
ap-1674	93	19	sphere	sphere	ADV
ap-1674	93	20	per	per	ADP
ap-1674	93	21	particle	particle	NOUN
ap-1674	93	22	)	)	PUNCT
ap-1674	93	23	,	,	PUNCT
ap-1674	93	24	the	the	DET
ap-1674	93	25	computational	computational	ADJ
ap-1674	93	26	effort	effort	NOUN
ap-1674	93	27	related	relate	VERB
ap-1674	93	28	to	to	ADP
ap-1674	93	29	the	the	DET
ap-1674	93	30	remaining	remain	VERB
ap-1674	93	31	checks	check	NOUN
ap-1674	93	32	is	be	AUX
ap-1674	93	33	still	still	ADV
ap-1674	93	34	prohibitive	prohibitive	ADJ
ap-1674	93	35	.	.	PUNCT
ap-1674	94	1	a	a	DET
ap-1674	94	2	refined	refined	ADJ
ap-1674	94	3	bounding	bounding	NOUN
ap-1674	94	4	box	box	NOUN
ap-1674	94	5	,	,	PUNCT
ap-1674	94	6	comprising	comprise	VERB
ap-1674	94	7	a	a	DET
ap-1674	94	8	set	set	NOUN
ap-1674	94	9	of	of	ADP
ap-1674	94	10	spheres	sphere	NOUN
ap-1674	94	11	of	of	ADP
ap-1674	94	12	variable	variable	ADJ
ap-1674	94	13	radius	radius	NOUN
ap-1674	94	14	covering	cover	VERB
ap-1674	94	15	the	the	DET
ap-1674	94	16	whole	whole	ADJ
ap-1674	94	17	particle	particle	NOUN
ap-1674	94	18	,	,	PUNCT
ap-1674	94	19	is	be	AUX
ap-1674	94	20	therefore	therefore	ADV
ap-1674	94	21	established	establish	VERB
ap-1674	94	22	.	.	PUNCT
ap-1674	95	1	the	the	DET
ap-1674	95	2	spheres	sphere	NOUN
ap-1674	95	3	in	in	ADP
ap-1674	95	4	the	the	DET
ap-1674	95	5	refined	refined	ADJ
ap-1674	95	6	bounding	bounding	NOUN
ap-1674	95	7	box	box	NOUN
ap-1674	95	8	are	be	AUX
ap-1674	95	9	spheres	sphere	NOUN
ap-1674	95	10	circumscribed	circumscribe	VERB
ap-1674	95	11	to	to	ADP
ap-1674	95	12	individual	individual	ADJ
ap-1674	95	13	simplices	simplice	NOUN
ap-1674	95	14	in	in	ADP
ap-1674	95	15	a	a	DET
ap-1674	95	16	con40	con40	PROPN
ap-1674	95	17	acta	acta	PROPN
ap-1674	95	18	polytechnica	polytechnica	PROPN
ap-1674	95	19	vol	vol	NOUN
ap-1674	95	20	.	.	PROPN
ap-1674	96	1	52	52	NUM
ap-1674	96	2	no	no	NOUN
ap-1674	96	3	.	.	PUNCT
ap-1674	97	1	6/2012	6/2012	NUM
ap-1674	97	2	a	a	DET
ap-1674	97	3	)	)	PUNCT
ap-1674	97	4	b	b	NOUN
ap-1674	97	5	)	)	PUNCT
ap-1674	97	6	c	c	NOUN
ap-1674	97	7	)	)	PUNCT
ap-1674	97	8	figure	figure	NOUN
ap-1674	97	9	3	3	NUM
ap-1674	97	10	:	:	PUNCT
ap-1674	97	11	construction	construction	NOUN
ap-1674	97	12	of	of	ADP
ap-1674	97	13	refined	refined	ADJ
ap-1674	97	14	bounding	bounding	NOUN
ap-1674	97	15	box	box	NOUN
ap-1674	97	16	of	of	ADP
ap-1674	97	17	an	an	DET
ap-1674	97	18	aggregate	aggregate	ADJ
ap-1674	97	19	particle	particle	NOUN
ap-1674	97	20	:	:	PUNCT
ap-1674	97	21	a	a	X
ap-1674	97	22	)	)	PUNCT
ap-1674	97	23	surface	surface	NOUN
ap-1674	97	24	points	point	NOUN
ap-1674	97	25	generated	generate	VERB
ap-1674	97	26	by	by	ADP
ap-1674	97	27	the	the	DET
ap-1674	97	28	intersection	intersection	NOUN
ap-1674	97	29	of	of	ADP
ap-1674	97	30	regularly	regularly	ADV
ap-1674	97	31	spaced	space	VERB
ap-1674	97	32	rays	ray	NOUN
ap-1674	97	33	emanating	emanate	VERB
ap-1674	97	34	from	from	ADP
ap-1674	97	35	the	the	DET
ap-1674	97	36	expansion	expansion	NOUN
ap-1674	97	37	center	center	NOUN
ap-1674	97	38	of	of	ADP
ap-1674	97	39	the	the	DET
ap-1674	97	40	particle	particle	NOUN
ap-1674	97	41	with	with	ADP
ap-1674	97	42	the	the	DET
ap-1674	97	43	surface	surface	NOUN
ap-1674	97	44	of	of	ADP
ap-1674	97	45	the	the	DET
ap-1674	97	46	particle	particle	NOUN
ap-1674	97	47	,	,	PUNCT
ap-1674	97	48	b	b	NOUN
ap-1674	97	49	)	)	PUNCT
ap-1674	97	50	constrained	constrain	VERB
ap-1674	97	51	delaunay	delaunay	PROPN
ap-1674	97	52	triangulation	triangulation	NOUN
ap-1674	97	53	of	of	ADP
ap-1674	97	54	surface	surface	NOUN
ap-1674	97	55	points	point	NOUN
ap-1674	97	56	,	,	PUNCT
ap-1674	97	57	c	c	NOUN
ap-1674	97	58	)	)	PUNCT
ap-1674	97	59	refined	refined	ADJ
ap-1674	97	60	bounding	bounding	NOUN
ap-1674	97	61	box	box	NOUN
ap-1674	97	62	defined	define	VERB
ap-1674	97	63	by	by	ADP
ap-1674	97	64	the	the	DET
ap-1674	97	65	envelope	envelope	NOUN
ap-1674	97	66	(	(	PUNCT
ap-1674	97	67	in	in	ADP
ap-1674	97	68	gray	gray	ADJ
ap-1674	97	69	)	)	PUNCT
ap-1674	97	70	of	of	ADP
ap-1674	97	71	circles	circle	NOUN
ap-1674	97	72	circumscribed	circumscribe	VERB
ap-1674	97	73	to	to	ADP
ap-1674	97	74	delaunay	delaunay	PROPN
ap-1674	97	75	simplices	simplices	PROPN
ap-1674	97	76	.	.	PUNCT
ap-1674	98	1	strained	strain	VERB
ap-1674	98	2	3d	3d	PROPN
ap-1674	98	3	delaunay	delaunay	PROPN
ap-1674	98	4	triangulation	triangulation	NOUN
ap-1674	98	5	[	[	X
ap-1674	98	6	27	27	NUM
ap-1674	98	7	]	]	PUNCT
ap-1674	98	8	constructed	construct	VERB
ap-1674	98	9	over	over	ADP
ap-1674	98	10	a	a	DET
ap-1674	98	11	set	set	NOUN
ap-1674	98	12	of	of	ADP
ap-1674	98	13	particle	particle	NOUN
ap-1674	98	14	surface	surface	NOUN
ap-1674	98	15	points	point	NOUN
ap-1674	98	16	.	.	PUNCT
ap-1674	99	1	these	these	DET
ap-1674	99	2	points	point	NOUN
ap-1674	99	3	are	be	AUX
ap-1674	99	4	obtained	obtain	VERB
ap-1674	99	5	as	as	ADP
ap-1674	99	6	the	the	DET
ap-1674	99	7	intersection	intersection	NOUN
ap-1674	99	8	of	of	ADP
ap-1674	99	9	the	the	DET
ap-1674	99	10	particle	particle	NOUN
ap-1674	99	11	surface	surface	NOUN
ap-1674	99	12	with	with	ADP
ap-1674	99	13	regularly	regularly	ADV
ap-1674	99	14	spaced	space	VERB
ap-1674	99	15	rays	ray	NOUN
ap-1674	99	16	emanating	emanate	VERB
ap-1674	99	17	from	from	ADP
ap-1674	99	18	the	the	DET
ap-1674	99	19	expansion	expansion	NOUN
ap-1674	99	20	center	center	NOUN
ap-1674	99	21	of	of	ADP
ap-1674	99	22	the	the	DET
ap-1674	99	23	particle	particle	NOUN
ap-1674	99	24	.	.	PUNCT
ap-1674	100	1	the	the	DET
ap-1674	100	2	particle	particle	NOUN
ap-1674	100	3	surface	surface	NOUN
ap-1674	100	4	points	point	NOUN
ap-1674	100	5	are	be	AUX
ap-1674	100	6	connected	connect	VERB
ap-1674	100	7	by	by	ADP
ap-1674	100	8	a	a	DET
ap-1674	100	9	surface	surface	NOUN
ap-1674	100	10	triangulation	triangulation	NOUN
ap-1674	100	11	,	,	PUNCT
ap-1674	100	12	the	the	DET
ap-1674	100	13	topology	topology	NOUN
ap-1674	100	14	of	of	ADP
ap-1674	100	15	which	which	PRON
ap-1674	100	16	is	be	AUX
ap-1674	100	17	the	the	DET
ap-1674	100	18	same	same	ADJ
ap-1674	100	19	for	for	ADP
ap-1674	100	20	all	all	DET
ap-1674	100	21	particles	particle	NOUN
ap-1674	100	22	and	and	CCONJ
ap-1674	100	23	is	be	AUX
ap-1674	100	24	known	know	VERB
ap-1674	100	25	in	in	ADP
ap-1674	100	26	advance	advance	NOUN
ap-1674	100	27	.	.	PUNCT
ap-1674	101	1	the	the	DET
ap-1674	101	2	process	process	NOUN
ap-1674	101	3	for	for	ADP
ap-1674	101	4	constructing	construct	VERB
ap-1674	101	5	the	the	DET
ap-1674	101	6	refined	refined	ADJ
ap-1674	101	7	bounding	bounding	NOUN
ap-1674	101	8	box	box	NOUN
ap-1674	101	9	is	be	AUX
ap-1674	101	10	schematically	schematically	NOUN
ap-1674	101	11	demonstrated	demonstrate	VERB
ap-1674	101	12	for	for	ADP
ap-1674	101	13	a	a	DET
ap-1674	101	14	2d	2d	NUM
ap-1674	101	15	case	case	NOUN
ap-1674	101	16	in	in	ADP
ap-1674	101	17	figure	figure	NOUN
ap-1674	101	18	3	3	NUM
ap-1674	101	19	.	.	PUNCT
ap-1674	102	1	in	in	ADP
ap-1674	102	2	the	the	DET
ap-1674	102	3	current	current	ADJ
ap-1674	102	4	implementation	implementation	NOUN
ap-1674	102	5	,	,	PUNCT
ap-1674	102	6	the	the	DET
ap-1674	102	7	directions	direction	NOUN
ap-1674	102	8	of	of	ADP
ap-1674	102	9	the	the	DET
ap-1674	102	10	rays	ray	NOUN
ap-1674	102	11	are	be	AUX
ap-1674	102	12	taken	take	VERB
ap-1674	102	13	from	from	ADP
ap-1674	102	14	the	the	DET
ap-1674	102	15	microplane	microplane	NOUN
ap-1674	102	16	material	material	NOUN
ap-1674	102	17	model	model	NOUN
ap-1674	102	18	[	[	X
ap-1674	102	19	28	28	NUM
ap-1674	102	20	]	]	PUNCT
ap-1674	102	21	,	,	PUNCT
ap-1674	102	22	which	which	PRON
ap-1674	102	23	uses	use	VERB
ap-1674	102	24	122	122	NUM
ap-1674	102	25	regularly	regularly	ADV
ap-1674	102	26	spaced	space	VERB
ap-1674	102	27	directions	direction	NOUN
ap-1674	102	28	(	(	PUNCT
ap-1674	102	29	defining	define	VERB
ap-1674	102	30	normals	normal	NOUN
ap-1674	102	31	of	of	ADP
ap-1674	102	32	individual	individual	ADJ
ap-1674	102	33	constitutive	constitutive	ADJ
ap-1674	102	34	microplanes	microplane	NOUN
ap-1674	102	35	in	in	ADP
ap-1674	102	36	that	that	DET
ap-1674	102	37	material	material	NOUN
ap-1674	102	38	model	model	NOUN
ap-1674	102	39	)	)	PUNCT
ap-1674	102	40	.	.	PUNCT
ap-1674	103	1	this	this	PRON
ap-1674	103	2	yields	yield	VERB
ap-1674	103	3	240	240	NUM
ap-1674	103	4	triangles	triangle	NOUN
ap-1674	103	5	approximating	approximate	VERB
ap-1674	103	6	the	the	DET
ap-1674	103	7	particle	particle	NOUN
ap-1674	103	8	surface	surface	NOUN
ap-1674	103	9	.	.	PUNCT
ap-1674	104	1	this	this	DET
ap-1674	104	2	basic	basic	ADJ
ap-1674	104	3	triangulation	triangulation	NOUN
ap-1674	104	4	is	be	AUX
ap-1674	104	5	sufficient	sufficient	ADJ
ap-1674	104	6	up	up	ADP
ap-1674	104	7	to	to	ADP
ap-1674	104	8	expansion	expansion	NOUN
ap-1674	104	9	order	order	NOUN
ap-1674	104	10	10	10	NUM
ap-1674	104	11	(	(	PUNCT
ap-1674	104	12	inclusive	inclusive	ADJ
ap-1674	104	13	)	)	PUNCT
ap-1674	104	14	.	.	PUNCT
ap-1674	105	1	for	for	ADP
ap-1674	105	2	higher	high	ADJ
ap-1674	105	3	expansion	expansion	NOUN
ap-1674	105	4	order	order	NOUN
ap-1674	105	5	values	value	NOUN
ap-1674	105	6	,	,	PUNCT
ap-1674	105	7	however	however	ADV
ap-1674	105	8	,	,	PUNCT
ap-1674	105	9	the	the	DET
ap-1674	105	10	basic	basic	ADJ
ap-1674	105	11	triangulation	triangulation	NOUN
ap-1674	105	12	may	may	AUX
ap-1674	105	13	be	be	AUX
ap-1674	105	14	too	too	ADV
ap-1674	105	15	coarse	coarse	ADJ
ap-1674	105	16	and	and	CCONJ
ap-1674	105	17	must	must	AUX
ap-1674	105	18	be	be	AUX
ap-1674	105	19	globally	globally	ADV
ap-1674	105	20	refined	refine	VERB
ap-1674	105	21	by	by	ADP
ap-1674	105	22	a	a	DET
ap-1674	105	23	regular	regular	ADJ
ap-1674	105	24	recursive	recursive	ADJ
ap-1674	105	25	subdivision	subdivision	NOUN
ap-1674	105	26	,	,	PUNCT
ap-1674	105	27	in	in	ADP
ap-1674	105	28	which	which	PRON
ap-1674	105	29	each	each	DET
ap-1674	105	30	surface	surface	NOUN
ap-1674	105	31	triangle	triangle	NOUN
ap-1674	105	32	is	be	AUX
ap-1674	105	33	divided	divide	VERB
ap-1674	105	34	into	into	ADP
ap-1674	105	35	four	four	NUM
ap-1674	105	36	geometrically	geometrically	ADV
ap-1674	105	37	similar	similar	ADJ
ap-1674	105	38	subtriangles	subtriangle	NOUN
ap-1674	105	39	.	.	PUNCT
ap-1674	106	1	the	the	DET
ap-1674	106	2	newlyintroduced	newlyintroduce	VERB
ap-1674	106	3	subtriangle	subtriangle	ADJ
ap-1674	106	4	vertices	vertex	NOUN
ap-1674	106	5	define	define	VERB
ap-1674	106	6	new	new	ADJ
ap-1674	106	7	rays	ray	NOUN
ap-1674	106	8	which	which	PRON
ap-1674	106	9	,	,	PUNCT
ap-1674	106	10	in	in	ADP
ap-1674	106	11	turn	turn	NOUN
ap-1674	106	12	,	,	PUNCT
ap-1674	106	13	produce	produce	VERB
ap-1674	106	14	new	new	ADJ
ap-1674	106	15	surface	surface	NOUN
ap-1674	106	16	points	point	NOUN
ap-1674	106	17	that	that	PRON
ap-1674	106	18	enrich	enrich	VERB
ap-1674	106	19	the	the	DET
ap-1674	106	20	original	original	ADJ
ap-1674	106	21	set	set	NOUN
ap-1674	106	22	of	of	ADP
ap-1674	106	23	basic	basic	ADJ
ap-1674	106	24	surface	surface	NOUN
ap-1674	106	25	points	point	NOUN
ap-1674	106	26	,	,	PUNCT
ap-1674	106	27	and	and	CCONJ
ap-1674	106	28	that	that	PRON
ap-1674	106	29	replace	replace	VERB
ap-1674	106	30	the	the	DET
ap-1674	106	31	original	original	ADJ
ap-1674	106	32	vertices	vertex	NOUN
ap-1674	106	33	(	(	PUNCT
ap-1674	106	34	obtained	obtain	VERB
ap-1674	106	35	by	by	ADP
ap-1674	106	36	subdivision	subdivision	NOUN
ap-1674	106	37	)	)	PUNCT
ap-1674	106	38	of	of	ADP
ap-1674	106	39	individual	individual	ADJ
ap-1674	106	40	subtriangles	subtriangle	NOUN
ap-1674	106	41	(	(	PUNCT
ap-1674	106	42	see	see	VERB
ap-1674	106	43	figure	figure	NOUN
ap-1674	106	44	4	4	NUM
ap-1674	106	45	)	)	PUNCT
ap-1674	106	46	.	.	PUNCT
ap-1674	107	1	an	an	DET
ap-1674	107	2	example	example	NOUN
ap-1674	107	3	of	of	ADP
ap-1674	107	4	particle	particle	NOUN
ap-1674	107	5	surface	surface	NOUN
ap-1674	107	6	triangulations	triangulation	NOUN
ap-1674	107	7	corresponding	correspond	VERB
ap-1674	107	8	to	to	ADP
ap-1674	107	9	basic	basic	ADJ
ap-1674	107	10	points	point	NOUN
ap-1674	107	11	and	and	CCONJ
ap-1674	107	12	to	to	ADP
ap-1674	107	13	points	point	NOUN
ap-1674	107	14	after	after	ADP
ap-1674	107	15	the	the	DET
ap-1674	107	16	first	first	ADJ
ap-1674	107	17	and	and	CCONJ
ap-1674	107	18	the	the	DET
ap-1674	107	19	second	second	ADJ
ap-1674	107	20	refinement	refinement	NOUN
ap-1674	107	21	level	level	NOUN
ap-1674	107	22	is	be	AUX
ap-1674	107	23	depicted	depict	VERB
ap-1674	107	24	in	in	ADP
ap-1674	107	25	figure	figure	NOUN
ap-1674	107	26	5	5	NUM
ap-1674	107	27	.	.	PUNCT
ap-1674	108	1	the	the	DET
ap-1674	108	2	estimate	estimate	NOUN
ap-1674	108	3	of	of	ADP
ap-1674	108	4	the	the	DET
ap-1674	108	5	number	number	NOUN
ap-1674	108	6	of	of	ADP
ap-1674	108	7	refinement	refinement	NOUN
ap-1674	108	8	levels	level	NOUN
ap-1674	108	9	ensuring	ensure	VERB
ap-1674	108	10	that	that	SCONJ
ap-1674	108	11	the	the	DET
ap-1674	108	12	particle	particle	NOUN
ap-1674	108	13	is	be	AUX
ap-1674	108	14	completely	completely	ADV
ap-1674	108	15	covered	cover	VERB
ap-1674	108	16	by	by	ADP
ap-1674	108	17	the	the	DET
ap-1674	108	18	refined	refined	ADJ
ap-1674	108	19	bounding	bounding	NOUN
ap-1674	108	20	box	box	NOUN
ap-1674	108	21	is	be	AUX
ap-1674	108	22	based	base	VERB
ap-1674	108	23	on	on	ADP
ap-1674	108	24	a	a	DET
ap-1674	108	25	heuristics	heuristic	NOUN
ap-1674	108	26	(	(	PUNCT
ap-1674	108	27	verified	verify	VERB
ap-1674	108	28	experimentally	experimentally	ADV
ap-1674	108	29	on	on	ADP
ap-1674	108	30	a	a	DET
ap-1674	108	31	set	set	NOUN
ap-1674	108	32	of	of	ADP
ap-1674	108	33	particles	particle	NOUN
ap-1674	108	34	)	)	PUNCT
ap-1674	108	35	which	which	PRON
ap-1674	108	36	applies	apply	VERB
ap-1674	108	37	a	a	DET
ap-1674	108	38	one	one	NUM
ap-1674	108	39	-	-	PUNCT
ap-1674	108	40	level	level	NOUN
ap-1674	108	41	refinement	refinement	NOUN
ap-1674	108	42	(	(	PUNCT
ap-1674	108	43	an	an	DET
ap-1674	108	44	increase	increase	NOUN
ap-1674	108	45	in	in	ADP
ap-1674	108	46	the	the	DET
ap-1674	108	47	number	number	NOUN
ap-1674	108	48	of	of	ADP
ap-1674	108	49	triangles	triangle	NOUN
ap-1674	108	50	by	by	ADP
ap-1674	108	51	a	a	DET
ap-1674	108	52	factor	factor	NOUN
ap-1674	108	53	of	of	ADP
ap-1674	108	54	4	4	NUM
ap-1674	108	55	)	)	PUNCT
ap-1674	108	56	whenever	whenever	SCONJ
ap-1674	108	57	the	the	DET
ap-1674	108	58	expansion	expansion	NOUN
ap-1674	108	59	order	order	NOUN
ap-1674	108	60	increases	increase	VERB
ap-1674	108	61	by	by	ADP
ap-1674	108	62	10	10	NUM
ap-1674	108	63	.	.	PUNCT
ap-1674	109	1	this	this	PRON
ap-1674	109	2	implies	imply	VERB
ap-1674	109	3	that	that	SCONJ
ap-1674	109	4	just	just	ADV
ap-1674	109	5	one	one	NUM
ap-1674	109	6	level	level	NOUN
ap-1674	109	7	of	of	ADP
ap-1674	109	8	refinement	refinement	NOUN
ap-1674	109	9	is	be	AUX
ap-1674	109	10	necessary	necessary	ADJ
ap-1674	109	11	for	for	ADP
ap-1674	109	12	the	the	DET
ap-1674	109	13	most	most	ADV
ap-1674	109	14	commonly	commonly	ADV
ap-1674	109	15	-	-	PUNCT
ap-1674	109	16	used	use	VERB
ap-1674	109	17	expansion	expansion	NOUN
ap-1674	109	18	orders	order	NOUN
ap-1674	109	19	between	between	ADP
ap-1674	109	20	10	10	NUM
ap-1674	109	21	and	and	CCONJ
ap-1674	109	22	20	20	NUM
ap-1674	109	23	(	(	PUNCT
ap-1674	109	24	inclusive	inclusive	NOUN
ap-1674	109	25	)	)	PUNCT
ap-1674	109	26	.	.	PUNCT
ap-1674	110	1	however	however	ADV
ap-1674	110	2	,	,	PUNCT
ap-1674	110	3	even	even	ADV
ap-1674	110	4	for	for	ADP
ap-1674	110	5	just	just	ADV
ap-1674	110	6	a	a	DET
ap-1674	110	7	singlelevel	singlelevel	NOUN
ap-1674	110	8	refinement	refinement	NOUN
ap-1674	110	9	,	,	PUNCT
ap-1674	110	10	the	the	DET
ap-1674	110	11	refined	refined	ADJ
ap-1674	110	12	bounding	bounding	NOUN
ap-1674	110	13	box	box	NOUN
ap-1674	110	14	comprises	comprise	NOUN
ap-1674	110	15	figure	figure	VERB
ap-1674	110	16	4	4	NUM
ap-1674	110	17	:	:	PUNCT
ap-1674	110	18	refinement	refinement	NOUN
ap-1674	110	19	of	of	ADP
ap-1674	110	20	the	the	DET
ap-1674	110	21	surface	surface	NOUN
ap-1674	110	22	triangulation	triangulation	NOUN
ap-1674	110	23	using	use	VERB
ap-1674	110	24	hierarchical	hierarchical	ADJ
ap-1674	110	25	subdivision	subdivision	NOUN
ap-1674	110	26	.	.	PUNCT
ap-1674	111	1	black	black	ADJ
ap-1674	111	2	nodes	node	NOUN
ap-1674	111	3	correspond	correspond	VERB
ap-1674	111	4	to	to	PART
ap-1674	111	5	surface	surface	NOUN
ap-1674	111	6	points	point	NOUN
ap-1674	111	7	on	on	ADP
ap-1674	111	8	the	the	DET
ap-1674	111	9	preceding	precede	VERB
ap-1674	111	10	refinement	refinement	NOUN
ap-1674	111	11	level	level	NOUN
ap-1674	111	12	,	,	PUNCT
ap-1674	111	13	white	white	ADJ
ap-1674	111	14	nodes	node	NOUN
ap-1674	111	15	are	be	AUX
ap-1674	111	16	subdivision	subdivision	NOUN
ap-1674	111	17	points	point	NOUN
ap-1674	111	18	(	(	PUNCT
ap-1674	111	19	not	not	PART
ap-1674	111	20	on	on	ADP
ap-1674	111	21	the	the	DET
ap-1674	111	22	real	real	ADJ
ap-1674	111	23	surface	surface	NOUN
ap-1674	111	24	)	)	PUNCT
ap-1674	111	25	on	on	ADP
ap-1674	111	26	current	current	ADJ
ap-1674	111	27	refinement	refinement	NOUN
ap-1674	111	28	level	level	NOUN
ap-1674	111	29	,	,	PUNCT
ap-1674	111	30	gray	gray	ADJ
ap-1674	111	31	nodes	node	NOUN
ap-1674	111	32	are	be	AUX
ap-1674	111	33	surface	surface	NOUN
ap-1674	111	34	points	point	NOUN
ap-1674	111	35	on	on	ADP
ap-1674	111	36	the	the	DET
ap-1674	111	37	current	current	ADJ
ap-1674	111	38	refinement	refinement	NOUN
ap-1674	111	39	level	level	NOUN
ap-1674	111	40	.	.	PUNCT
ap-1674	112	1	960	960	NUM
ap-1674	112	2	spheres	sphere	NOUN
ap-1674	112	3	,	,	PUNCT
ap-1674	112	4	which	which	PRON
ap-1674	112	5	is	be	AUX
ap-1674	112	6	computationally	computationally	ADV
ap-1674	112	7	unfavourable	unfavourable	ADJ
ap-1674	112	8	.	.	PUNCT
ap-1674	113	1	the	the	DET
ap-1674	113	2	number	number	NOUN
ap-1674	113	3	of	of	ADP
ap-1674	113	4	spheres	sphere	NOUN
ap-1674	113	5	forming	form	VERB
ap-1674	113	6	the	the	DET
ap-1674	113	7	refined	refined	ADJ
ap-1674	113	8	bounding	bounding	NOUN
ap-1674	113	9	box	box	NOUN
ap-1674	113	10	can	can	AUX
ap-1674	113	11	be	be	AUX
ap-1674	113	12	decreased	decrease	VERB
ap-1674	113	13	by	by	ADP
ap-1674	113	14	performing	perform	VERB
ap-1674	113	15	the	the	DET
ap-1674	113	16	subdivision	subdivision	NOUN
ap-1674	113	17	locally	locally	ADV
ap-1674	113	18	(	(	PUNCT
ap-1674	113	19	for	for	ADP
ap-1674	113	20	example	example	NOUN
ap-1674	113	21	,	,	PUNCT
ap-1674	113	22	with	with	ADP
ap-1674	113	23	respect	respect	NOUN
ap-1674	113	24	to	to	ADP
ap-1674	113	25	the	the	DET
ap-1674	113	26	change	change	NOUN
ap-1674	113	27	in	in	ADP
ap-1674	113	28	particle	particle	NOUN
ap-1674	113	29	surface	surface	NOUN
ap-1674	113	30	curvature	curvature	NOUN
ap-1674	113	31	)	)	PUNCT
ap-1674	113	32	.	.	PUNCT
ap-1674	114	1	in	in	ADP
ap-1674	114	2	this	this	DET
ap-1674	114	3	case	case	NOUN
ap-1674	114	4	,	,	PUNCT
ap-1674	114	5	the	the	DET
ap-1674	114	6	constrained	constrain	VERB
ap-1674	114	7	delaunay	delaunay	PROPN
ap-1674	114	8	triangulation	triangulation	NOUN
ap-1674	114	9	is	be	AUX
ap-1674	114	10	no	no	PRON
ap-1674	114	11	longer	long	ADV
ap-1674	114	12	conforming	conform	VERB
ap-1674	114	13	,	,	PUNCT
ap-1674	114	14	due	due	ADP
ap-1674	114	15	to	to	ADP
ap-1674	114	16	the	the	DET
ap-1674	114	17	introduced	introduce	VERB
ap-1674	114	18	hanging	hang	VERB
ap-1674	114	19	nodes	node	NOUN
ap-1674	114	20	(	(	PUNCT
ap-1674	114	21	if	if	SCONJ
ap-1674	114	22	only	only	ADV
ap-1674	114	23	one	one	NUM
ap-1674	114	24	out	out	ADP
ap-1674	114	25	of	of	ADP
ap-1674	114	26	two	two	NUM
ap-1674	114	27	adjacent	adjacent	ADJ
ap-1674	114	28	triangles	triangle	NOUN
ap-1674	114	29	was	be	AUX
ap-1674	114	30	refined	refine	VERB
ap-1674	114	31	)	)	PUNCT
ap-1674	114	32	.	.	PUNCT
ap-1674	115	1	however	however	ADV
ap-1674	115	2	,	,	PUNCT
ap-1674	115	3	this	this	PRON
ap-1674	115	4	causes	cause	VERB
ap-1674	115	5	no	no	DET
ap-1674	115	6	difficulty	difficulty	NOUN
ap-1674	115	7	.	.	PUNCT
ap-1674	116	1	the	the	DET
ap-1674	116	2	only	only	ADJ
ap-1674	116	3	consequence	consequence	NOUN
ap-1674	116	4	is	be	AUX
ap-1674	116	5	that	that	SCONJ
ap-1674	116	6	the	the	DET
ap-1674	116	7	refined	refined	ADJ
ap-1674	116	8	bounding	bounding	NOUN
ap-1674	116	9	box	box	NOUN
ap-1674	116	10	is	be	AUX
ap-1674	116	11	slightly	slightly	ADV
ap-1674	116	12	larger	large	ADJ
ap-1674	116	13	because	because	SCONJ
ap-1674	116	14	it	it	PRON
ap-1674	116	15	is	be	AUX
ap-1674	116	16	formed	form	VERB
ap-1674	116	17	by	by	ADP
ap-1674	116	18	fewer	few	ADJ
ap-1674	116	19	spheres	sphere	NOUN
ap-1674	116	20	.	.	PUNCT
ap-1674	117	1	in	in	ADP
ap-1674	117	2	the	the	DET
ap-1674	117	3	current	current	ADJ
ap-1674	117	4	approach	approach	NOUN
ap-1674	117	5	,	,	PUNCT
ap-1674	117	6	an	an	DET
ap-1674	117	7	alternative	alternative	ADJ
ap-1674	117	8	strategy	strategy	NOUN
ap-1674	117	9	is	be	AUX
ap-1674	117	10	adopted	adopt	VERB
ap-1674	117	11	to	to	PART
ap-1674	117	12	keep	keep	VERB
ap-1674	117	13	the	the	DET
ap-1674	117	14	number	number	NOUN
ap-1674	117	15	of	of	ADP
ap-1674	117	16	bounding	bound	VERB
ap-1674	117	17	spheres	sphere	NOUN
ap-1674	117	18	reasonably	reasonably	ADV
ap-1674	117	19	small	small	ADJ
ap-1674	117	20	.	.	PUNCT
ap-1674	118	1	initially	initially	ADV
ap-1674	118	2	,	,	PUNCT
ap-1674	118	3	the	the	DET
ap-1674	118	4	constrained	constrain	VERB
ap-1674	118	5	delaunay	delaunay	PROPN
ap-1674	118	6	triangulation	triangulation	NOUN
ap-1674	118	7	is	be	AUX
ap-1674	118	8	built	build	VERB
ap-1674	118	9	using	use	VERB
ap-1674	118	10	only	only	ADV
ap-1674	118	11	the	the	DET
ap-1674	118	12	basic	basic	ADJ
ap-1674	118	13	240	240	NUM
ap-1674	118	14	surface	surface	NOUN
ap-1674	118	15	triangles	triangle	NOUN
ap-1674	118	16	,	,	PUNCT
ap-1674	118	17	irrespective	irrespective	ADV
ap-1674	118	18	of	of	ADP
ap-1674	118	19	the	the	DET
ap-1674	118	20	actual	actual	ADJ
ap-1674	118	21	number	number	NOUN
ap-1674	118	22	of	of	ADP
ap-1674	118	23	refinement	refinement	NOUN
ap-1674	118	24	levels	level	NOUN
ap-1674	118	25	that	that	PRON
ap-1674	118	26	are	be	AUX
ap-1674	118	27	applied	apply	VERB
ap-1674	118	28	.	.	PUNCT
ap-1674	119	1	then	then	ADV
ap-1674	119	2	,	,	PUNCT
ap-1674	119	3	for	for	ADP
ap-1674	119	4	each	each	PRON
ap-1674	119	5	of	of	ADP
ap-1674	119	6	the	the	DET
ap-1674	119	7	created	create	VERB
ap-1674	119	8	tetrahedra	tetrahedron	NOUN
ap-1674	119	9	(	(	PUNCT
ap-1674	119	10	a	a	DET
ap-1674	119	11	maximum	maximum	NOUN
ap-1674	119	12	of	of	ADP
ap-1674	119	13	240	240	NUM
ap-1674	119	14	)	)	PUNCT
ap-1674	119	15	,	,	PUNCT
ap-1674	119	16	its	its	PRON
ap-1674	119	17	circumscribed	circumscribed	ADJ
ap-1674	119	18	sphere	sphere	NOUN
ap-1674	119	19	is	be	AUX
ap-1674	119	20	appropriately	appropriately	ADV
ap-1674	119	21	expanded2	expanded2	ADJ
ap-1674	119	22	to	to	PART
ap-1674	119	23	cover	cover	VERB
ap-1674	119	24	also	also	ADV
ap-1674	119	25	the	the	DET
ap-1674	119	26	refined	refined	ADJ
ap-1674	119	27	points	point	NOUN
ap-1674	119	28	constructed	construct	VERB
ap-1674	119	29	during	during	ADP
ap-1674	119	30	the	the	DET
ap-1674	119	31	refinement	refinement	NOUN
ap-1674	119	32	over	over	ADP
ap-1674	119	33	the	the	DET
ap-1674	119	34	basic	basic	ADJ
ap-1674	119	35	triangle(s	triangle(s	NOUN
ap-1674	119	36	)	)	PUNCT
ap-1674	119	37	bounding	bound	VERB
ap-1674	119	38	that	that	DET
ap-1674	119	39	tetrahedron	tetrahedron	NOUN
ap-1674	119	40	.	.	PUNCT
ap-1674	120	1	finally	finally	ADV
ap-1674	120	2	,	,	PUNCT
ap-1674	120	3	the	the	DET
ap-1674	120	4	total	total	ADJ
ap-1674	120	5	number	number	NOUN
ap-1674	120	6	of	of	ADP
ap-1674	120	7	spheres	sphere	NOUN
ap-1674	120	8	in	in	ADP
ap-1674	120	9	the	the	DET
ap-1674	120	10	refined	refined	ADJ
ap-1674	120	11	bounding	bounding	NOUN
ap-1674	120	12	box	box	NOUN
ap-1674	120	13	is	be	AUX
ap-1674	120	14	reduced	reduce	VERB
ap-1674	120	15	by	by	ADP
ap-1674	120	16	merging	merge	VERB
ap-1674	120	17	(	(	PUNCT
ap-1674	120	18	again	again	ADV
ap-1674	120	19	using	use	VERB
ap-1674	120	20	the	the	DET
ap-1674	120	21	appropriate	appropriate	ADJ
ap-1674	120	22	expansion2	expansion2	NOUN
ap-1674	120	23	)	)	PUNCT
ap-1674	120	24	several	several	ADJ
ap-1674	120	25	almost	almost	ADV
ap-1674	120	26	identical	identical	ADJ
ap-1674	120	27	spheres	sphere	NOUN
ap-1674	120	28	(	(	PUNCT
ap-1674	120	29	having	have	VERB
ap-1674	120	30	a	a	DET
ap-1674	120	31	similar	similar	ADJ
ap-1674	120	32	radius	radius	NOUN
ap-1674	120	33	and	and	CCONJ
ap-1674	120	34	location	location	NOUN
ap-1674	120	35	)	)	PUNCT
ap-1674	120	36	.	.	PUNCT
ap-1674	121	1	of	of	ADP
ap-1674	121	2	course	course	ADV
ap-1674	121	3	,	,	PUNCT
ap-1674	121	4	this	this	PRON
ap-1674	121	5	increases	increase	VERB
ap-1674	121	6	the	the	DET
ap-1674	121	7	size	size	NOUN
ap-1674	121	8	of	of	ADP
ap-1674	121	9	the	the	DET
ap-1674	121	10	refined	refined	ADJ
ap-1674	121	11	bounding	bounding	NOUN
ap-1674	121	12	box	box	NOUN
ap-1674	121	13	.	.	PUNCT
ap-1674	122	1	the	the	DET
ap-1674	122	2	magnitude	magnitude	NOUN
ap-1674	122	3	of	of	ADP
ap-1674	122	4	the	the	DET
ap-1674	122	5	increase	increase	NOUN
ap-1674	122	6	is	be	AUX
ap-1674	122	7	controlled	control	VERB
ap-1674	122	8	by	by	ADP
ap-1674	122	9	an	an	DET
ap-1674	122	10	expansion	expansion	NOUN
ap-1674	122	11	factor	factor	NOUN
ap-1674	122	12	related	relate	VERB
ap-1674	122	13	to	to	ADP
ap-1674	122	14	the	the	DET
ap-1674	122	15	radius	radius	NOUN
ap-1674	122	16	of	of	ADP
ap-1674	122	17	the	the	DET
ap-1674	122	18	single	single	ADJ
ap-1674	122	19	bounding	bounding	NOUN
ap-1674	122	20	sphere	sphere	NOUN
ap-1674	122	21	of	of	ADP
ap-1674	122	22	the	the	DET
ap-1674	122	23	particle	particle	NOUN
ap-1674	122	24	.	.	PUNCT
ap-1674	123	1	figure	figure	NOUN
ap-1674	123	2	6	6	NUM
ap-1674	123	3	demonstrates	demonstrate	VERB
ap-1674	123	4	the	the	DET
ap-1674	123	5	effect	effect	NOUN
ap-1674	123	6	of	of	ADP
ap-1674	123	7	merging	merge	VERB
ap-1674	123	8	the	the	DET
ap-1674	123	9	spheres	sphere	NOUN
ap-1674	123	10	in	in	ADP
ap-1674	123	11	the	the	DET
ap-1674	123	12	refined	refined	ADJ
ap-1674	123	13	bounding	bounding	NOUN
ap-1674	123	14	box	box	NOUN
ap-1674	123	15	of	of	ADP
ap-1674	123	16	the	the	DET
ap-1674	123	17	particle	particle	NOUN
ap-1674	123	18	from	from	ADP
ap-1674	123	19	figure	figure	NOUN
ap-1674	123	20	5	5	NUM
ap-1674	123	21	when	when	SCONJ
ap-1674	123	22	one	one	NUM
ap-1674	123	23	refinement	refinement	NOUN
ap-1674	123	24	level	level	NOUN
ap-1674	123	25	(	(	PUNCT
ap-1674	123	26	see	see	VERB
ap-1674	123	27	figure	figure	NOUN
ap-1674	123	28	5b	5b	NUM
ap-1674	123	29	)	)	PUNCT
ap-1674	123	30	was	be	AUX
ap-1674	123	31	used	use	VERB
ap-1674	123	32	.	.	PUNCT
ap-1674	124	1	in	in	ADP
ap-1674	124	2	the	the	DET
ap-1674	124	3	present	present	ADJ
ap-1674	124	4	study	study	NOUN
ap-1674	124	5	,	,	PUNCT
ap-1674	124	6	an	an	DET
ap-1674	124	7	expansion	expansion	NOUN
ap-1674	124	8	factor	factor	NOUN
ap-1674	124	9	of	of	ADP
ap-1674	124	10	0.1	0.1	NUM
ap-1674	124	11	was	be	AUX
ap-1674	124	12	chosen	choose	VERB
ap-1674	124	13	as	as	ADP
ap-1674	124	14	optimal	optimal	ADJ
ap-1674	124	15	,	,	PUNCT
ap-1674	124	16	considerably	considerably	ADV
ap-1674	124	17	reducing	reduce	VERB
ap-1674	124	18	the	the	DET
ap-1674	124	19	number	number	NOUN
ap-1674	124	20	of	of	ADP
ap-1674	124	21	spheres	sphere	NOUN
ap-1674	124	22	in	in	ADP
ap-1674	124	23	the	the	DET
ap-1674	124	24	refined	refined	ADJ
ap-1674	124	25	bounding	bounding	NOUN
ap-1674	124	26	box	box	NOUN
ap-1674	124	27	while	while	SCONJ
ap-1674	124	28	maintaining	maintain	VERB
ap-1674	124	29	reasonably	reasonably	ADV
ap-1674	124	30	tight	tight	ADJ
ap-1674	124	31	bounding	bounding	NOUN
ap-1674	124	32	.	.	PUNCT
ap-1674	125	1	unfortunately	unfortunately	ADV
ap-1674	125	2	,	,	PUNCT
ap-1674	125	3	it	it	PRON
ap-1674	125	4	is	be	AUX
ap-1674	125	5	difficult	difficult	ADJ
ap-1674	125	6	to	to	PART
ap-1674	125	7	make	make	VERB
ap-1674	125	8	a	a	DET
ap-1674	125	9	quantitative	quantitative	ADJ
ap-1674	125	10	assessment	assessment	NOUN
ap-1674	125	11	of	of	ADP
ap-1674	125	12	the	the	DET
ap-1674	125	13	measure	measure	NOUN
ap-1674	125	14	of	of	ADP
ap-1674	125	15	agreement	agreement	NOUN
ap-1674	125	16	between	between	ADP
ap-1674	125	17	the	the	DET
ap-1674	125	18	particle	particle	NOUN
ap-1674	125	19	itself	itself	PRON
ap-1674	125	20	and	and	CCONJ
ap-1674	125	21	its	its	PRON
ap-1674	125	22	refined	refined	ADJ
ap-1674	125	23	bounding	bounding	NOUN
ap-1674	125	24	box	box	NOUN
ap-1674	125	25	.	.	PUNCT
ap-1674	126	1	since	since	SCONJ
ap-1674	126	2	the	the	DET
ap-1674	126	3	particle	particle	NOUN
ap-1674	126	4	is	be	AUX
ap-1674	126	5	geometrically	geometrically	ADV
ap-1674	126	6	described	describe	VERB
ap-1674	126	7	by	by	ADP
ap-1674	126	8	the	the	DET
ap-1674	126	9	2note	2note	NUM
ap-1674	126	10	that	that	PRON
ap-1674	126	11	expansion	expansion	NOUN
ap-1674	126	12	is	be	AUX
ap-1674	126	13	accompanied	accompany	VERB
ap-1674	126	14	by	by	ADP
ap-1674	126	15	an	an	DET
ap-1674	126	16	appropriate	appropriate	ADJ
ap-1674	126	17	shift	shift	NOUN
ap-1674	126	18	of	of	ADP
ap-1674	126	19	the	the	DET
ap-1674	126	20	center	center	NOUN
ap-1674	126	21	of	of	ADP
ap-1674	126	22	the	the	DET
ap-1674	126	23	sphere	sphere	NOUN
ap-1674	126	24	to	to	PART
ap-1674	126	25	minimize	minimize	VERB
ap-1674	126	26	necessary	necessary	ADJ
ap-1674	126	27	growth	growth	NOUN
ap-1674	126	28	of	of	ADP
ap-1674	126	29	its	its	PRON
ap-1674	126	30	radius	radius	NOUN
ap-1674	126	31	.	.	PUNCT
ap-1674	127	1	the	the	DET
ap-1674	127	2	center	center	NOUN
ap-1674	127	3	,	,	PUNCT
ap-1674	127	4	however	however	ADV
ap-1674	127	5	,	,	PUNCT
ap-1674	127	6	has	have	VERB
ap-1674	127	7	to	to	PART
ap-1674	127	8	be	be	AUX
ap-1674	127	9	kept	keep	VERB
ap-1674	127	10	safely	safely	ADV
ap-1674	127	11	inside	inside	ADP
ap-1674	127	12	the	the	DET
ap-1674	127	13	particle	particle	NOUN
ap-1674	127	14	.	.	PUNCT
ap-1674	128	1	41	41	NUM
ap-1674	128	2	acta	acta	PROPN
ap-1674	128	3	polytechnica	polytechnica	PROPN
ap-1674	128	4	vol	vol	NOUN
ap-1674	128	5	.	.	PROPN
ap-1674	129	1	52	52	NUM
ap-1674	129	2	no	no	NOUN
ap-1674	129	3	.	.	PUNCT
ap-1674	130	1	6/2012	6/2012	NUM
ap-1674	130	2	a	a	DET
ap-1674	130	3	)	)	PUNCT
ap-1674	130	4	b	b	NOUN
ap-1674	130	5	)	)	PUNCT
ap-1674	130	6	c	c	NOUN
ap-1674	130	7	)	)	PUNCT
ap-1674	130	8	figure	figure	NOUN
ap-1674	130	9	5	5	NUM
ap-1674	130	10	:	:	PUNCT
ap-1674	130	11	surface	surface	NOUN
ap-1674	130	12	triangulation	triangulation	NOUN
ap-1674	130	13	of	of	ADP
ap-1674	130	14	an	an	DET
ap-1674	130	15	aggregate	aggregate	ADJ
ap-1674	130	16	particle	particle	NOUN
ap-1674	130	17	:	:	PUNCT
ap-1674	130	18	a	a	X
ap-1674	130	19	)	)	PUNCT
ap-1674	130	20	basic	basic	ADJ
ap-1674	130	21	triangulation	triangulation	NOUN
ap-1674	130	22	(	(	PUNCT
ap-1674	130	23	240	240	NUM
ap-1674	130	24	triangles	triangle	NOUN
ap-1674	130	25	)	)	PUNCT
ap-1674	130	26	,	,	PUNCT
ap-1674	130	27	b	b	X
ap-1674	130	28	)	)	PUNCT
ap-1674	130	29	triangulation	triangulation	NOUN
ap-1674	130	30	with	with	ADP
ap-1674	130	31	one	one	NUM
ap-1674	130	32	-	-	PUNCT
ap-1674	130	33	level	level	NOUN
ap-1674	130	34	refinement	refinement	NOUN
ap-1674	130	35	(	(	PUNCT
ap-1674	130	36	960	960	NUM
ap-1674	130	37	triangles	triangle	NOUN
ap-1674	130	38	)	)	PUNCT
ap-1674	130	39	and	and	CCONJ
ap-1674	130	40	c	c	X
ap-1674	130	41	)	)	PUNCT
ap-1674	130	42	triangulation	triangulation	NOUN
ap-1674	130	43	with	with	ADP
ap-1674	130	44	two	two	NUM
ap-1674	130	45	-	-	PUNCT
ap-1674	130	46	level	level	NOUN
ap-1674	130	47	refinement	refinement	NOUN
ap-1674	130	48	(	(	PUNCT
ap-1674	130	49	3840	3840	NUM
ap-1674	130	50	triangles	triangle	NOUN
ap-1674	130	51	)	)	PUNCT
ap-1674	130	52	.	.	PUNCT
ap-1674	131	1	a	a	DET
ap-1674	131	2	)	)	PUNCT
ap-1674	131	3	b	b	NOUN
ap-1674	131	4	)	)	PUNCT
ap-1674	131	5	c	c	NOUN
ap-1674	131	6	)	)	PUNCT
ap-1674	131	7	d	d	NOUN
ap-1674	131	8	)	)	PUNCT
ap-1674	131	9	e	e	NOUN
ap-1674	131	10	)	)	PUNCT
ap-1674	131	11	f	f	X
ap-1674	131	12	)	)	PUNCT
ap-1674	131	13	figure	figure	NOUN
ap-1674	131	14	6	6	NUM
ap-1674	131	15	:	:	PUNCT
ap-1674	131	16	refined	refined	ADJ
ap-1674	131	17	bounding	bounding	NOUN
ap-1674	131	18	box	box	NOUN
ap-1674	131	19	(	(	PUNCT
ap-1674	131	20	of	of	ADP
ap-1674	131	21	the	the	DET
ap-1674	131	22	particle	particle	NOUN
ap-1674	131	23	from	from	ADP
ap-1674	131	24	figure	figure	NOUN
ap-1674	131	25	5	5	NUM
ap-1674	131	26	):	):	PUNCT
ap-1674	131	27	a	a	X
ap-1674	131	28	)	)	PUNCT
ap-1674	131	29	no	no	DET
ap-1674	131	30	merging	merging	NOUN
ap-1674	131	31	applied	apply	VERB
ap-1674	131	32	(	(	PUNCT
ap-1674	131	33	240	240	NUM
ap-1674	131	34	spheres	sphere	NOUN
ap-1674	131	35	)	)	PUNCT
ap-1674	131	36	,	,	PUNCT
ap-1674	131	37	b	b	X
ap-1674	131	38	)	)	PUNCT
ap-1674	131	39	merging	merge	VERB
ap-1674	131	40	using	use	VERB
ap-1674	131	41	expansion	expansion	NOUN
ap-1674	131	42	factor	factor	NOUN
ap-1674	131	43	0.05	0.05	NUM
ap-1674	131	44	(	(	PUNCT
ap-1674	131	45	156	156	NUM
ap-1674	131	46	spheres	sphere	NOUN
ap-1674	131	47	)	)	PUNCT
ap-1674	131	48	,	,	PUNCT
ap-1674	132	1	c	c	X
ap-1674	132	2	)	)	PUNCT
ap-1674	132	3	0.1	0.1	NUM
ap-1674	132	4	(	(	PUNCT
ap-1674	132	5	71	71	NUM
ap-1674	132	6	spheres	sphere	NOUN
ap-1674	132	7	)	)	PUNCT
ap-1674	132	8	,	,	PUNCT
ap-1674	133	1	d	d	X
ap-1674	133	2	)	)	PUNCT
ap-1674	133	3	0.15	0.15	NUM
ap-1674	133	4	(	(	PUNCT
ap-1674	133	5	49	49	NUM
ap-1674	133	6	spheres	sphere	NOUN
ap-1674	133	7	)	)	PUNCT
ap-1674	133	8	,	,	PUNCT
ap-1674	133	9	e	e	X
ap-1674	133	10	)	)	PUNCT
ap-1674	133	11	0.2	0.2	NUM
ap-1674	133	12	(	(	PUNCT
ap-1674	133	13	36	36	NUM
ap-1674	133	14	spheres	sphere	NOUN
ap-1674	133	15	)	)	PUNCT
ap-1674	133	16	and	and	CCONJ
ap-1674	133	17	f	f	X
ap-1674	133	18	)	)	PUNCT
ap-1674	133	19	0.25	0.25	NUM
ap-1674	133	20	(	(	PUNCT
ap-1674	133	21	31	31	NUM
ap-1674	133	22	spheres	sphere	NOUN
ap-1674	133	23	)	)	PUNCT
ap-1674	133	24	.	.	PUNCT
ap-1674	134	1	ray	ray	PROPN
ap-1674	134	2	length	length	PROPN
ap-1674	134	3	r(η	r(η	PROPN
ap-1674	134	4	,	,	PUNCT
ap-1674	134	5	ϕ	ϕ	NOUN
ap-1674	134	6	)	)	PUNCT
ap-1674	134	7	,	,	PUNCT
ap-1674	134	8	the	the	DET
ap-1674	134	9	refined	refined	ADJ
ap-1674	134	10	bounding	bounding	NOUN
ap-1674	134	11	box	box	NOUN
ap-1674	134	12	may	may	AUX
ap-1674	134	13	be	be	AUX
ap-1674	134	14	precomputed	precompute	VERB
ap-1674	134	15	for	for	ADP
ap-1674	134	16	individual	individual	ADJ
ap-1674	134	17	particles	particle	NOUN
ap-1674	134	18	in	in	ADP
ap-1674	134	19	the	the	DET
ap-1674	134	20	container	container	NOUN
ap-1674	134	21	and	and	CCONJ
ap-1674	134	22	then	then	ADV
ap-1674	134	23	only	only	ADV
ap-1674	134	24	appropriately	appropriately	ADV
ap-1674	134	25	scaled	scale	VERB
ap-1674	134	26	and	and	CCONJ
ap-1674	134	27	rotated	rotate	VERB
ap-1674	134	28	according	accord	VERB
ap-1674	134	29	to	to	ADP
ap-1674	134	30	the	the	DET
ap-1674	134	31	randomly	randomly	ADV
ap-1674	134	32	generated	generate	VERB
ap-1674	134	33	values	value	NOUN
ap-1674	134	34	during	during	ADP
ap-1674	134	35	the	the	DET
ap-1674	134	36	packing	packing	NOUN
ap-1674	134	37	procedure	procedure	NOUN
ap-1674	134	38	.	.	PUNCT
ap-1674	135	1	the	the	DET
ap-1674	135	2	refined	refined	ADJ
ap-1674	135	3	bounding	bounding	NOUN
ap-1674	135	4	box	box	NOUN
ap-1674	135	5	is	be	AUX
ap-1674	135	6	used	use	VERB
ap-1674	135	7	to	to	PART
ap-1674	135	8	efficiently	efficiently	ADV
ap-1674	135	9	resolve	resolve	VERB
ap-1674	135	10	the	the	DET
ap-1674	135	11	vast	vast	ADJ
ap-1674	135	12	majority	majority	NOUN
ap-1674	135	13	of	of	ADP
ap-1674	135	14	the	the	DET
ap-1674	135	15	intersection	intersection	NOUN
ap-1674	135	16	checks	check	NOUN
ap-1674	135	17	between	between	ADP
ap-1674	135	18	close	close	ADJ
ap-1674	135	19	particles	particle	NOUN
ap-1674	135	20	.	.	PUNCT
ap-1674	136	1	note	note	VERB
ap-1674	136	2	that	that	SCONJ
ap-1674	136	3	handling	handle	VERB
ap-1674	136	4	all	all	DET
ap-1674	136	5	pairs	pair	NOUN
ap-1674	136	6	of	of	ADP
ap-1674	136	7	spheres	sphere	NOUN
ap-1674	136	8	(	(	PUNCT
ap-1674	136	9	one	one	NUM
ap-1674	136	10	from	from	ADP
ap-1674	136	11	each	each	DET
ap-1674	136	12	refined	refined	ADJ
ap-1674	136	13	bounding	bounding	NOUN
ap-1674	136	14	box	box	NOUN
ap-1674	136	15	)	)	PUNCT
ap-1674	136	16	in	in	ADP
ap-1674	136	17	such	such	DET
ap-1674	136	18	a	a	DET
ap-1674	136	19	check	check	NOUN
ap-1674	136	20	is	be	AUX
ap-1674	136	21	inefficient	inefficient	ADJ
ap-1674	136	22	,	,	PUNCT
ap-1674	136	23	even	even	ADV
ap-1674	136	24	for	for	ADP
ap-1674	136	25	the	the	DET
ap-1674	136	26	relatively	relatively	ADV
ap-1674	136	27	small	small	ADJ
ap-1674	136	28	number	number	NOUN
ap-1674	136	29	of	of	ADP
ap-1674	136	30	spheres	sphere	NOUN
ap-1674	136	31	in	in	ADP
ap-1674	136	32	refined	refined	ADJ
ap-1674	136	33	bounding	bounding	NOUN
ap-1674	136	34	boxes	box	NOUN
ap-1674	136	35	.	.	PUNCT
ap-1674	137	1	in	in	ADP
ap-1674	137	2	the	the	DET
ap-1674	137	3	present	present	ADJ
ap-1674	137	4	implementation	implementation	NOUN
ap-1674	137	5	,	,	PUNCT
ap-1674	137	6	the	the	DET
ap-1674	137	7	most	most	ADV
ap-1674	137	8	marginal	marginal	ADJ
ap-1674	137	9	sphere	sphere	NOUN
ap-1674	137	10	(	(	PUNCT
ap-1674	137	11	on	on	ADP
ap-1674	137	12	the	the	DET
ap-1674	137	13	side	side	NOUN
ap-1674	137	14	facing	face	VERB
ap-1674	137	15	the	the	DET
ap-1674	137	16	other	other	ADJ
ap-1674	137	17	particle	particle	NOUN
ap-1674	137	18	along	along	ADP
ap-1674	137	19	the	the	DET
ap-1674	137	20	direction	direction	NOUN
ap-1674	137	21	connecting	connect	VERB
ap-1674	137	22	the	the	DET
ap-1674	137	23	expansion	expansion	NOUN
ap-1674	137	24	centers	center	NOUN
ap-1674	137	25	of	of	ADP
ap-1674	137	26	the	the	DET
ap-1674	137	27	two	two	NUM
ap-1674	137	28	particles	particle	NOUN
ap-1674	137	29	)	)	PUNCT
ap-1674	137	30	in	in	ADP
ap-1674	137	31	the	the	DET
ap-1674	137	32	refined	refined	ADJ
ap-1674	137	33	bounding	bounding	NOUN
ap-1674	137	34	box	box	NOUN
ap-1674	137	35	of	of	ADP
ap-1674	137	36	each	each	PRON
ap-1674	137	37	of	of	ADP
ap-1674	137	38	the	the	DET
ap-1674	137	39	two	two	NUM
ap-1674	137	40	particles	particle	NOUN
ap-1674	137	41	is	be	AUX
ap-1674	137	42	identified	identify	VERB
ap-1674	137	43	first	first	ADV
ap-1674	137	44	.	.	PUNCT
ap-1674	138	1	then	then	ADV
ap-1674	138	2	a	a	DET
ap-1674	138	3	search	search	NOUN
ap-1674	138	4	is	be	AUX
ap-1674	138	5	made	make	VERB
ap-1674	138	6	for	for	ADP
ap-1674	138	7	the	the	DET
ap-1674	138	8	closest	close	ADJ
ap-1674	138	9	sphere	sphere	NOUN
ap-1674	138	10	from	from	ADP
ap-1674	138	11	the	the	DET
ap-1674	138	12	refined	refined	ADJ
ap-1674	138	13	bounding	bounding	NOUN
ap-1674	138	14	box	box	NOUN
ap-1674	138	15	of	of	ADP
ap-1674	138	16	one	one	NUM
ap-1674	138	17	particle	particle	NOUN
ap-1674	138	18	to	to	ADP
ap-1674	138	19	the	the	DET
ap-1674	138	20	marginal	marginal	ADJ
ap-1674	138	21	sphere	sphere	NOUN
ap-1674	138	22	of	of	ADP
ap-1674	138	23	the	the	DET
ap-1674	138	24	refined	refined	ADJ
ap-1674	138	25	bounding	bounding	NOUN
ap-1674	138	26	box	box	NOUN
ap-1674	138	27	of	of	ADP
ap-1674	138	28	the	the	DET
ap-1674	138	29	other	other	ADJ
ap-1674	138	30	particle	particle	NOUN
ap-1674	138	31	.	.	PUNCT
ap-1674	139	1	from	from	ADP
ap-1674	139	2	these	these	DET
ap-1674	139	3	two	two	NUM
ap-1674	139	4	pairs	pair	NOUN
ap-1674	139	5	,	,	PUNCT
ap-1674	139	6	the	the	DET
ap-1674	139	7	one	one	NOUN
ap-1674	139	8	with	with	ADP
ap-1674	139	9	smaller	small	ADJ
ap-1674	139	10	distance	distance	NOUN
ap-1674	139	11	between	between	ADP
ap-1674	139	12	the	the	DET
ap-1674	139	13	spheres	sphere	NOUN
ap-1674	139	14	is	be	AUX
ap-1674	139	15	selected	select	VERB
ap-1674	139	16	.	.	PUNCT
ap-1674	140	1	then	then	ADV
ap-1674	140	2	the	the	DET
ap-1674	140	3	search	search	NOUN
ap-1674	140	4	continues	continue	VERB
ap-1674	140	5	only	only	ADV
ap-1674	140	6	among	among	ADP
ap-1674	140	7	mutual	mutual	ADJ
ap-1674	140	8	pairs	pair	NOUN
ap-1674	140	9	of	of	ADP
ap-1674	140	10	those	those	DET
ap-1674	140	11	spheres	sphere	NOUN
ap-1674	140	12	(	(	PUNCT
ap-1674	140	13	one	one	NUM
ap-1674	140	14	from	from	ADP
ap-1674	140	15	each	each	DET
ap-1674	140	16	refined	refined	ADJ
ap-1674	140	17	bounding	bounding	NOUN
ap-1674	140	18	box	box	NOUN
ap-1674	140	19	)	)	PUNCT
ap-1674	140	20	crossing	cross	VERB
ap-1674	140	21	a	a	DET
ap-1674	140	22	layer	layer	NOUN
ap-1674	140	23	perpendicular	perpendicular	NOUN
ap-1674	140	24	to	to	ADP
ap-1674	140	25	the	the	DET
ap-1674	140	26	line	line	NOUN
ap-1674	140	27	connecting	connect	VERB
ap-1674	140	28	the	the	DET
ap-1674	140	29	expansion	expansion	NOUN
ap-1674	140	30	centers	center	NOUN
ap-1674	140	31	of	of	ADP
ap-1674	140	32	the	the	DET
ap-1674	140	33	two	two	NUM
ap-1674	140	34	particles	particle	NOUN
ap-1674	140	35	.	.	PUNCT
ap-1674	141	1	the	the	DET
ap-1674	141	2	planes	plane	NOUN
ap-1674	141	3	bounding	bound	VERB
ap-1674	141	4	the	the	DET
ap-1674	141	5	layer	layer	NOUN
ap-1674	141	6	are	be	AUX
ap-1674	141	7	defined	define	VERB
ap-1674	141	8	as	as	ADP
ap-1674	141	9	the	the	DET
ap-1674	141	10	planes	plane	NOUN
ap-1674	141	11	touching	touch	VERB
ap-1674	141	12	the	the	DET
ap-1674	141	13	marginal	marginal	ADJ
ap-1674	141	14	spheres	sphere	NOUN
ap-1674	141	15	ec	ec	PROPN
ap-1674	141	16	1	1	NUM
ap-1674	141	17	90	90	NUM
ap-1674	141	18	2min	2min	NUM
ap-1674	141	19	d(ms	d(ms	NOUN
ap-1674	141	20	,	,	PUNCT
ap-1674	141	21	s	s	NOUN
ap-1674	141	22	)	)	PUNCT
ap-1674	141	23	2min	2min	NOUN
ap-1674	141	24	d(ms	d(ms	NOUN
ap-1674	141	25	,	,	PUNCT
ap-1674	141	26	s	s	PART
ap-1674	141	27	)	)	PUNCT
ap-1674	141	28	ec	ec	PROPN
ap-1674	141	29	2	2	NUM
ap-1674	141	30	1	1	NUM
ap-1674	141	31	1	1	NUM
ap-1674	141	32	1	1	NUM
ap-1674	141	33	ms1	ms1	NOUN
ap-1674	141	34	2	2	NUM
ap-1674	141	35	1	1	NUM
ap-1674	141	36	2	2	NUM
ap-1674	141	37	ms1	ms1	NOUN
ap-1674	141	38	2	2	NUM
ap-1674	141	39	2	2	NUM
ap-1674	141	40	d	d	NOUN
ap-1674	141	41	figure	figure	NOUN
ap-1674	141	42	7	7	NUM
ap-1674	141	43	:	:	PUNCT
ap-1674	141	44	intersection	intersection	NOUN
ap-1674	141	45	check	check	NOUN
ap-1674	141	46	of	of	ADP
ap-1674	141	47	refined	refined	ADJ
ap-1674	141	48	bounding	bounding	NOUN
ap-1674	141	49	boxes	box	NOUN
ap-1674	141	50	of	of	ADP
ap-1674	141	51	two	two	NUM
ap-1674	141	52	particles	particle	NOUN
ap-1674	141	53	.	.	PUNCT
ap-1674	142	1	only	only	ADV
ap-1674	142	2	pairs	pair	NOUN
ap-1674	142	3	of	of	ADP
ap-1674	142	4	spheres	sphere	NOUN
ap-1674	142	5	(	(	PUNCT
ap-1674	142	6	one	one	NUM
ap-1674	142	7	from	from	ADP
ap-1674	142	8	each	each	DET
ap-1674	142	9	refined	refined	ADJ
ap-1674	142	10	bounding	bounding	NOUN
ap-1674	142	11	box	box	NOUN
ap-1674	142	12	)	)	PUNCT
ap-1674	142	13	crossing	cross	VERB
ap-1674	142	14	the	the	DET
ap-1674	142	15	light	light	ADJ
ap-1674	142	16	gray	gray	ADJ
ap-1674	142	17	layer	layer	NOUN
ap-1674	142	18	are	be	AUX
ap-1674	142	19	investigated	investigate	VERB
ap-1674	142	20	.	.	PUNCT
ap-1674	143	1	eci	eci	PROPN
ap-1674	143	2	indicates	indicate	VERB
ap-1674	143	3	expansion	expansion	NOUN
ap-1674	143	4	center	center	NOUN
ap-1674	143	5	of	of	ADP
ap-1674	143	6	particle	particle	NOUN
ap-1674	143	7	i	i	PROPN
ap-1674	143	8	,	,	PUNCT
ap-1674	143	9	msji	msji	PROPN
ap-1674	143	10	denotes	denote	VERB
ap-1674	143	11	marginal	marginal	ADJ
ap-1674	143	12	sphere	sphere	NOUN
ap-1674	143	13	(	(	PUNCT
ap-1674	143	14	in	in	ADP
ap-1674	143	15	dark	dark	ADJ
ap-1674	143	16	gray	gray	NOUN
ap-1674	143	17	)	)	PUNCT
ap-1674	143	18	of	of	ADP
ap-1674	143	19	particle	particle	NOUN
ap-1674	143	20	i	i	PRON
ap-1674	143	21	facing	face	VERB
ap-1674	143	22	particle	particle	PROPN
ap-1674	143	23	j	j	PROPN
ap-1674	143	24	,	,	PUNCT
ap-1674	143	25	d(msji	d(msji	PROPN
ap-1674	143	26	,	,	PUNCT
ap-1674	143	27	sj	sj	PROPN
ap-1674	143	28	)	)	PUNCT
ap-1674	143	29	represents	represent	VERB
ap-1674	143	30	distance	distance	NOUN
ap-1674	143	31	between	between	ADP
ap-1674	143	32	marginal	marginal	ADJ
ap-1674	143	33	sphere	sphere	NOUN
ap-1674	143	34	of	of	ADP
ap-1674	143	35	particle	particle	NOUN
ap-1674	143	36	i	i	PROPN
ap-1674	143	37	and	and	CCONJ
ap-1674	143	38	any	any	DET
ap-1674	143	39	sphere	sphere	NOUN
ap-1674	143	40	of	of	ADP
ap-1674	143	41	particle	particle	PROPN
ap-1674	143	42	j	j	PROPN
ap-1674	143	43	,	,	PUNCT
ap-1674	143	44	d	d	PROPN
ap-1674	143	45	stands	stand	VERB
ap-1674	143	46	for	for	ADP
ap-1674	143	47	the	the	DET
ap-1674	143	48	minimal	minimal	ADJ
ap-1674	143	49	detected	detect	VERB
ap-1674	143	50	distance	distance	NOUN
ap-1674	143	51	(	(	PUNCT
ap-1674	143	52	monotonically	monotonically	ADV
ap-1674	143	53	decreasing	decrease	VERB
ap-1674	143	54	during	during	ADP
ap-1674	143	55	the	the	DET
ap-1674	143	56	intersection	intersection	NOUN
ap-1674	143	57	check	check	NOUN
ap-1674	143	58	)	)	PUNCT
ap-1674	143	59	initially	initially	ADV
ap-1674	143	60	set	set	VERB
ap-1674	143	61	to	to	ADP
ap-1674	143	62	smaller	small	ADJ
ap-1674	143	63	from	from	ADP
ap-1674	143	64	min(d(ms2	min(d(ms2	NOUN
ap-1674	143	65	1	1	NUM
ap-1674	143	66	,	,	PUNCT
ap-1674	143	67	s2	s2	PROPN
ap-1674	143	68	)	)	PUNCT
ap-1674	143	69	)	)	PUNCT
ap-1674	143	70	and	and	CCONJ
ap-1674	143	71	min(d(ms1	min(d(ms1	ADJ
ap-1674	143	72	2	2	NUM
ap-1674	143	73	,	,	PUNCT
ap-1674	143	74	s1	s1	NOUN
ap-1674	143	75	)	)	PUNCT
ap-1674	143	76	)	)	PUNCT
ap-1674	143	77	.	.	PUNCT
ap-1674	144	1	(	(	PUNCT
ap-1674	144	2	on	on	ADP
ap-1674	144	3	the	the	DET
ap-1674	144	4	side	side	NOUN
ap-1674	144	5	facing	face	VERB
ap-1674	144	6	the	the	DET
ap-1674	144	7	other	other	ADJ
ap-1674	144	8	particle	particle	NOUN
ap-1674	144	9	)	)	PUNCT
ap-1674	144	10	shifted	shift	VERB
ap-1674	144	11	toward	toward	ADP
ap-1674	144	12	the	the	DET
ap-1674	144	13	other	other	ADJ
ap-1674	144	14	particle	particle	NOUN
ap-1674	144	15	by	by	ADP
ap-1674	144	16	the	the	DET
ap-1674	144	17	so	so	ADV
ap-1674	144	18	far	far	ADV
ap-1674	144	19	detected	detect	VERB
ap-1674	144	20	minimum	minimum	ADJ
ap-1674	144	21	distance	distance	NOUN
ap-1674	144	22	between	between	ADP
ap-1674	144	23	spheres	sphere	NOUN
ap-1674	144	24	defining	define	VERB
ap-1674	144	25	the	the	DET
ap-1674	144	26	refined	refined	ADJ
ap-1674	144	27	bounding	bounding	NOUN
ap-1674	144	28	boxes	box	NOUN
ap-1674	144	29	.	.	PUNCT
ap-1674	145	1	the	the	DET
ap-1674	145	2	strategy	strategy	NOUN
ap-1674	145	3	discussed	discuss	VERB
ap-1674	145	4	above	above	ADV
ap-1674	145	5	is	be	AUX
ap-1674	145	6	schematically	schematically	NOUN
ap-1674	145	7	depicted	depict	VERB
ap-1674	145	8	in	in	ADP
ap-1674	145	9	figure	figure	NOUN
ap-1674	145	10	7	7	NUM
ap-1674	145	11	.	.	PUNCT
ap-1674	146	1	if	if	SCONJ
ap-1674	146	2	the	the	DET
ap-1674	146	3	intersection	intersection	NOUN
ap-1674	146	4	can	can	AUX
ap-1674	146	5	not	not	PART
ap-1674	146	6	be	be	AUX
ap-1674	146	7	reliably	reliably	ADV
ap-1674	146	8	refuted	refute	VERB
ap-1674	146	9	(	(	PUNCT
ap-1674	146	10	i.e.	i.e.	X
ap-1674	146	11	if	if	SCONJ
ap-1674	146	12	any	any	PRON
ap-1674	146	13	of	of	ADP
ap-1674	146	14	the	the	DET
ap-1674	146	15	spheres	sphere	NOUN
ap-1674	146	16	in	in	ADP
ap-1674	146	17	the	the	DET
ap-1674	146	18	refined	refined	ADJ
ap-1674	146	19	bounding	bounding	NOUN
ap-1674	146	20	box	box	NOUN
ap-1674	146	21	of	of	ADP
ap-1674	146	22	one	one	NUM
ap-1674	146	23	particle	particle	NOUN
ap-1674	146	24	is	be	AUX
ap-1674	146	25	touching	touch	VERB
ap-1674	146	26	or	or	CCONJ
ap-1674	146	27	overlapping	overlap	VERB
ap-1674	146	28	any	any	DET
ap-1674	146	29	sphere	sphere	NOUN
ap-1674	146	30	in	in	ADP
ap-1674	146	31	the	the	DET
ap-1674	146	32	refined	refined	ADJ
ap-1674	146	33	bounding	bounding	NOUN
ap-1674	146	34	box	box	NOUN
ap-1674	146	35	of	of	ADP
ap-1674	146	36	the	the	DET
ap-1674	146	37	other	other	ADJ
ap-1674	146	38	particle	particle	NOUN
ap-1674	146	39	)	)	PUNCT
ap-1674	146	40	or	or	CCONJ
ap-1674	146	41	can	can	AUX
ap-1674	146	42	not	not	PART
ap-1674	146	43	be	be	AUX
ap-1674	146	44	reliably	reliably	ADV
ap-1674	146	45	proved3	proved3	NOUN
ap-1674	146	46	(	(	PUNCT
ap-1674	146	47	if	if	SCONJ
ap-1674	146	48	the	the	DET
ap-1674	146	49	center	center	NOUN
ap-1674	146	50	of	of	ADP
ap-1674	146	51	any	any	DET
ap-1674	146	52	sphere	sphere	NOUN
ap-1674	146	53	in	in	ADP
ap-1674	146	54	the	the	DET
ap-1674	146	55	refined	refined	ADJ
ap-1674	146	56	bounding	bounding	NOUN
ap-1674	146	57	box	box	NOUN
ap-1674	146	58	of	of	ADP
ap-1674	146	59	one	one	NUM
ap-1674	146	60	particle	particle	NOUN
ap-1674	146	61	is	be	AUX
ap-1674	146	62	inside	inside	ADP
ap-1674	146	63	the	the	DET
ap-1674	146	64	other	other	ADJ
ap-1674	146	65	particle	particle	NOUN
ap-1674	146	66	)	)	PUNCT
ap-1674	146	67	,	,	PUNCT
ap-1674	146	68	then	then	ADV
ap-1674	146	69	the	the	DET
ap-1674	146	70	real	real	ADJ
ap-1674	146	71	geometry	geometry	NOUN
ap-1674	146	72	of	of	ADP
ap-1674	146	73	the	the	DET
ap-1674	146	74	investigated	investigate	VERB
ap-1674	146	75	particles	particle	NOUN
ap-1674	146	76	is	be	AUX
ap-1674	146	77	considered	consider	VERB
ap-1674	146	78	.	.	PUNCT
ap-1674	147	1	since	since	SCONJ
ap-1674	147	2	the	the	DET
ap-1674	147	3	surface	surface	NOUN
ap-1674	147	4	of	of	ADP
ap-1674	147	5	the	the	DET
ap-1674	147	6	particle	particle	NOUN
ap-1674	147	7	(	(	PUNCT
ap-1674	147	8	represented	represent	VERB
ap-1674	147	9	by	by	ADP
ap-1674	147	10	the	the	DET
ap-1674	147	11	spherical	spherical	ADJ
ap-1674	147	12	harmonic	harmonic	ADJ
ap-1674	147	13	expansion	expansion	NOUN
ap-1674	147	14	)	)	PUNCT
ap-1674	147	15	is	be	AUX
ap-1674	147	16	naturally	naturally	ADV
ap-1674	147	17	parametrized	parametrize	VERB
ap-1674	147	18	by	by	ADP
ap-1674	147	19	the	the	DET
ap-1674	147	20	spherical	spherical	ADJ
ap-1674	147	21	angles	angle	NOUN
ap-1674	147	22	η	η	PROPN
ap-1674	147	23	,	,	PUNCT
ap-1674	147	24	ranging	range	VERB
ap-1674	147	25	from	from	ADP
ap-1674	147	26	0	0	NUM
ap-1674	147	27	to	to	ADP
ap-1674	147	28	π	π	PROPN
ap-1674	147	29	and	and	CCONJ
ap-1674	147	30	ϕ	ϕ	NOUN
ap-1674	147	31	,	,	PUNCT
ap-1674	147	32	varying	vary	VERB
ap-1674	147	33	from	from	ADP
ap-1674	147	34	0	0	NUM
ap-1674	147	35	to	to	ADP
ap-1674	147	36	2π	2π	PROPN
ap-1674	147	37	and	and	CCONJ
ap-1674	147	38	being	be	AUX
ap-1674	147	39	periodic	periodic	ADJ
ap-1674	147	40	,	,	PUNCT
ap-1674	147	41	a	a	DET
ap-1674	147	42	standard	standard	ADJ
ap-1674	147	43	algorithm	algorithm	NOUN
ap-1674	147	44	(	(	PUNCT
ap-1674	147	45	the	the	DET
ap-1674	147	46	so	so	ADV
ap-1674	147	47	-	-	PUNCT
ap-1674	147	48	called	call	VERB
ap-1674	147	49	closest	close	ADJ
ap-1674	147	50	point	point	NOUN
ap-1674	147	51	projection	projection	NOUN
ap-1674	147	52	)	)	PUNCT
ap-1674	147	53	is	be	AUX
ap-1674	147	54	adopted	adopt	VERB
ap-1674	147	55	which	which	DET
ap-1674	147	56	returns	return	VERB
ap-1674	147	57	,	,	PUNCT
ap-1674	147	58	for	for	ADP
ap-1674	147	59	a	a	DET
ap-1674	147	60	given	give	VERB
ap-1674	147	61	point	point	NOUN
ap-1674	147	62	,	,	PUNCT
ap-1674	147	63	the	the	DET
ap-1674	147	64	closest	close	ADJ
ap-1674	147	65	point	point	NOUN
ap-1674	147	66	on	on	ADP
ap-1674	147	67	the	the	DET
ap-1674	147	68	surface	surface	NOUN
ap-1674	147	69	(	(	PUNCT
ap-1674	147	70	for	for	ADP
ap-1674	147	71	details	detail	NOUN
ap-1674	147	72	see	see	VERB
ap-1674	147	73	[	[	X
ap-1674	147	74	29	29	NUM
ap-1674	147	75	]	]	PUNCT
ap-1674	147	76	)	)	PUNCT
ap-1674	147	77	.	.	PUNCT
ap-1674	148	1	to	to	PART
ap-1674	148	2	obtain	obtain	VERB
ap-1674	148	3	a	a	DET
ap-1674	148	4	pair	pair	NOUN
ap-1674	148	5	of	of	ADP
ap-1674	148	6	mutually	mutually	ADV
ap-1674	148	7	closest	close	ADJ
ap-1674	148	8	points	point	NOUN
ap-1674	148	9	,	,	PUNCT
ap-1674	148	10	one	one	NUM
ap-1674	148	11	on	on	ADP
ap-1674	148	12	each	each	DET
ap-1674	148	13	particle	particle	NOUN
ap-1674	148	14	surface	surface	NOUN
ap-1674	148	15	,	,	PUNCT
ap-1674	148	16	the	the	DET
ap-1674	148	17	closest	close	ADJ
ap-1674	148	18	point	point	NOUN
ap-1674	148	19	projection	projection	NOUN
ap-1674	148	20	is	be	AUX
ap-1674	148	21	performed	perform	VERB
ap-1674	148	22	in	in	ADP
ap-1674	148	23	a	a	DET
ap-1674	148	24	staggered	staggered	ADJ
ap-1674	148	25	way	way	NOUN
ap-1674	148	26	.	.	PUNCT
ap-1674	149	1	this	this	PRON
ap-1674	149	2	means	mean	VERB
ap-1674	149	3	that	that	SCONJ
ap-1674	149	4	the	the	DET
ap-1674	149	5	projection	projection	NOUN
ap-1674	149	6	of	of	ADP
ap-1674	149	7	a	a	DET
ap-1674	149	8	point	point	NOUN
ap-1674	149	9	to	to	ADP
ap-1674	149	10	the	the	DET
ap-1674	149	11	surface	surface	NOUN
ap-1674	149	12	of	of	ADP
ap-1674	149	13	one	one	NUM
ap-1674	149	14	particle	particle	NOUN
ap-1674	149	15	is	be	AUX
ap-1674	149	16	then	then	ADV
ap-1674	149	17	projected	project	VERB
ap-1674	149	18	to	to	ADP
ap-1674	149	19	the	the	DET
ap-1674	149	20	surface	surface	NOUN
ap-1674	149	21	of	of	ADP
ap-1674	149	22	the	the	DET
ap-1674	149	23	other	other	ADJ
ap-1674	149	24	particle	particle	NOUN
ap-1674	149	25	,	,	PUNCT
ap-1674	149	26	and	and	CCONJ
ap-1674	149	27	so	so	ADV
ap-1674	149	28	on	on	ADV
ap-1674	149	29	(	(	PUNCT
ap-1674	149	30	see	see	VERB
ap-1674	149	31	figure	figure	NOUN
ap-1674	149	32	8)	8)	NUM
ap-1674	149	33	,	,	PUNCT
ap-1674	149	34	until	until	SCONJ
ap-1674	149	35	the	the	DET
ap-1674	149	36	converged	converged	ADJ
ap-1674	149	37	state	state	NOUN
ap-1674	149	38	is	be	AUX
ap-1674	149	39	achieved	achieve	VERB
ap-1674	149	40	(	(	PUNCT
ap-1674	149	41	the	the	DET
ap-1674	149	42	projection	projection	NOUN
ap-1674	149	43	of	of	ADP
ap-1674	149	44	the	the	DET
ap-1674	149	45	point	point	NOUN
ap-1674	149	46	on	on	ADP
ap-1674	149	47	the	the	DET
ap-1674	149	48	surface	surface	NOUN
ap-1674	149	49	of	of	ADP
ap-1674	149	50	one	one	NUM
ap-1674	149	51	particle	particle	NOUN
ap-1674	149	52	to	to	ADP
ap-1674	149	53	the	the	DET
ap-1674	149	54	surface	surface	NOUN
ap-1674	149	55	of	of	ADP
ap-1674	149	56	the	the	DET
ap-1674	149	57	other	other	ADJ
ap-1674	149	58	particle	particle	NOUN
ap-1674	149	59	is	be	AUX
ap-1674	149	60	the	the	DET
ap-1674	149	61	point	point	NOUN
ap-1674	149	62	on	on	ADP
ap-1674	149	63	the	the	DET
ap-1674	149	64	other	other	ADJ
ap-1674	149	65	particle	particle	NOUN
ap-1674	149	66	,	,	PUNCT
ap-1674	149	67	and	and	CCONJ
ap-1674	149	68	vice	vice	ADV
ap-1674	149	69	versa	versa	ADV
ap-1674	149	70	)	)	PUNCT
ap-1674	149	71	.	.	PUNCT
ap-1674	150	1	note	note	VERB
ap-1674	150	2	that	that	SCONJ
ap-1674	150	3	the	the	DET
ap-1674	150	4	staggered	staggered	ADJ
ap-1674	150	5	projection	projection	NOUN
ap-1674	150	6	may	may	AUX
ap-1674	150	7	become	become	VERB
ap-1674	150	8	quite	quite	ADV
ap-1674	150	9	inefficient	inefficient	ADJ
ap-1674	150	10	if	if	SCONJ
ap-1674	150	11	the	the	DET
ap-1674	150	12	3note	3note	NUM
ap-1674	150	13	that	that	SCONJ
ap-1674	150	14	the	the	DET
ap-1674	150	15	refined	refined	ADJ
ap-1674	150	16	bounding	bounding	NOUN
ap-1674	150	17	box	box	NOUN
ap-1674	150	18	is	be	AUX
ap-1674	150	19	generally	generally	ADV
ap-1674	150	20	not	not	PART
ap-1674	150	21	suitable	suitable	ADJ
ap-1674	150	22	to	to	PART
ap-1674	150	23	confirm	confirm	VERB
ap-1674	150	24	the	the	DET
ap-1674	150	25	intersection	intersection	NOUN
ap-1674	150	26	of	of	ADP
ap-1674	150	27	two	two	NUM
ap-1674	150	28	particles	particle	NOUN
ap-1674	150	29	because	because	SCONJ
ap-1674	150	30	the	the	DET
ap-1674	150	31	thickness	thickness	NOUN
ap-1674	150	32	of	of	ADP
ap-1674	150	33	the	the	DET
ap-1674	150	34	cover	cover	NOUN
ap-1674	150	35	of	of	ADP
ap-1674	150	36	the	the	DET
ap-1674	150	37	particle	particle	NOUN
ap-1674	150	38	by	by	ADP
ap-1674	150	39	the	the	DET
ap-1674	150	40	refined	refined	ADJ
ap-1674	150	41	bounding	bounding	NOUN
ap-1674	150	42	box	box	NOUN
ap-1674	150	43	is	be	AUX
ap-1674	150	44	variable	variable	ADJ
ap-1674	150	45	.	.	PUNCT
ap-1674	151	1	42	42	NUM
ap-1674	151	2	acta	acta	PROPN
ap-1674	151	3	polytechnica	polytechnica	PROPN
ap-1674	151	4	vol	vol	NOUN
ap-1674	151	5	.	.	PROPN
ap-1674	152	1	52	52	NUM
ap-1674	152	2	no	no	NOUN
ap-1674	152	3	.	.	PUNCT
ap-1674	153	1	6/2012	6/2012	NUM
ap-1674	153	2	ec2	ec2	NOUN
ap-1674	153	3	2	2	NUM
ap-1674	153	4	1ec	1ec	NOUN
ap-1674	153	5	1	1	NUM
ap-1674	153	6	sp	sp	ADP
ap-1674	153	7	a	a	DET
ap-1674	153	8	a	a	DET
ap-1674	153	9	b	b	NOUN
ap-1674	153	10	b1	b1	NOUN
ap-1674	153	11	1	1	NUM
ap-1674	153	12	2	2	NUM
ap-1674	153	13	2	2	NUM
ap-1674	153	14	spa	spa	NOUN
ap-1674	153	15	b	b	NOUN
ap-1674	153	16	figure	figure	NOUN
ap-1674	153	17	8	8	NUM
ap-1674	153	18	:	:	PUNCT
ap-1674	153	19	intersection	intersection	NOUN
ap-1674	153	20	check	check	NOUN
ap-1674	153	21	of	of	ADP
ap-1674	153	22	particles	particle	NOUN
ap-1674	153	23	represented	represent	VERB
ap-1674	153	24	by	by	ADP
ap-1674	153	25	the	the	DET
ap-1674	153	26	real	real	ADJ
ap-1674	153	27	geometry	geometry	NOUN
ap-1674	153	28	using	use	VERB
ap-1674	153	29	the	the	DET
ap-1674	153	30	closest	close	ADJ
ap-1674	153	31	point	point	NOUN
ap-1674	153	32	projection	projection	NOUN
ap-1674	153	33	in	in	ADP
ap-1674	153	34	the	the	DET
ap-1674	153	35	staggered	staggered	ADJ
ap-1674	153	36	way	way	NOUN
ap-1674	153	37	.	.	PUNCT
ap-1674	154	1	starting	start	VERB
ap-1674	154	2	points	point	NOUN
ap-1674	154	3	are	be	AUX
ap-1674	154	4	indicated	indicate	VERB
ap-1674	154	5	as	as	ADP
ap-1674	154	6	white	white	ADJ
ap-1674	154	7	circles	circle	NOUN
ap-1674	154	8	,	,	PUNCT
ap-1674	154	9	the	the	DET
ap-1674	154	10	intermediate	intermediate	ADJ
ap-1674	154	11	projection	projection	NOUN
ap-1674	154	12	points	point	NOUN
ap-1674	154	13	as	as	ADP
ap-1674	154	14	gray	gray	ADJ
ap-1674	154	15	circles	circle	NOUN
ap-1674	154	16	,	,	PUNCT
ap-1674	154	17	and	and	CCONJ
ap-1674	154	18	the	the	DET
ap-1674	154	19	closest	close	ADJ
ap-1674	154	20	points	point	NOUN
ap-1674	154	21	as	as	ADP
ap-1674	154	22	black	black	ADJ
ap-1674	154	23	circles	circle	NOUN
ap-1674	154	24	.	.	PUNCT
ap-1674	155	1	choosing	choose	VERB
ap-1674	155	2	spa	spa	NOUN
ap-1674	155	3	as	as	ADP
ap-1674	155	4	starting	start	VERB
ap-1674	155	5	point	point	NOUN
ap-1674	155	6	results	result	NOUN
ap-1674	155	7	in	in	ADP
ap-1674	155	8	locally	locally	ADV
ap-1674	155	9	closest	close	ADJ
ap-1674	155	10	points	point	NOUN
ap-1674	155	11	a1	a1	NOUN
ap-1674	155	12	and	and	CCONJ
ap-1674	155	13	a2	a2	PROPN
ap-1674	155	14	.	.	PUNCT
ap-1674	156	1	globally	globally	ADV
ap-1674	156	2	closest	close	ADJ
ap-1674	156	3	points	point	NOUN
ap-1674	156	4	b1	b1	NOUN
ap-1674	156	5	and	and	CCONJ
ap-1674	156	6	b2	b2	NOUN
ap-1674	156	7	are	be	AUX
ap-1674	156	8	obtained	obtain	VERB
ap-1674	156	9	by	by	ADP
ap-1674	156	10	choosing	choose	VERB
ap-1674	156	11	spb	spb	PROPN
ap-1674	156	12	as	as	ADP
ap-1674	156	13	starting	start	VERB
ap-1674	156	14	point	point	NOUN
ap-1674	156	15	.	.	PUNCT
ap-1674	157	1	surfaces	surface	NOUN
ap-1674	157	2	of	of	ADP
ap-1674	157	3	the	the	DET
ap-1674	157	4	particles	particle	NOUN
ap-1674	157	5	facing	face	VERB
ap-1674	157	6	each	each	DET
ap-1674	157	7	other	other	ADJ
ap-1674	157	8	are	be	AUX
ap-1674	157	9	almost	almost	ADV
ap-1674	157	10	parallel	parallel	ADJ
ap-1674	157	11	,	,	PUNCT
ap-1674	157	12	or	or	CCONJ
ap-1674	157	13	if	if	SCONJ
ap-1674	157	14	the	the	DET
ap-1674	157	15	particles	particle	NOUN
ap-1674	157	16	are	be	AUX
ap-1674	157	17	far	far	ADV
ap-1674	157	18	from	from	ADP
ap-1674	157	19	each	each	DET
ap-1674	157	20	other	other	ADJ
ap-1674	157	21	.	.	PUNCT
ap-1674	158	1	in	in	ADP
ap-1674	158	2	the	the	DET
ap-1674	158	3	case	case	NOUN
ap-1674	158	4	of	of	ADP
ap-1674	158	5	convex	convex	PROPN
ap-1674	158	6	non	non	ADJ
ap-1674	158	7	-	-	ADJ
ap-1674	158	8	overlapping	overlapping	ADJ
ap-1674	158	9	particles	particle	NOUN
ap-1674	158	10	,	,	PUNCT
ap-1674	158	11	this	this	DET
ap-1674	158	12	procedure	procedure	NOUN
ap-1674	158	13	yields	yield	VERB
ap-1674	158	14	the	the	DET
ap-1674	158	15	closest	close	ADJ
ap-1674	158	16	points	point	NOUN
ap-1674	158	17	in	in	ADP
ap-1674	158	18	the	the	DET
ap-1674	158	19	global	global	ADJ
ap-1674	158	20	sense	sense	NOUN
ap-1674	158	21	,	,	PUNCT
ap-1674	158	22	irrespective	irrespective	ADV
ap-1674	158	23	of	of	ADP
ap-1674	158	24	the	the	DET
ap-1674	158	25	location	location	NOUN
ap-1674	158	26	of	of	ADP
ap-1674	158	27	the	the	DET
ap-1674	158	28	starting	starting	NOUN
ap-1674	158	29	point	point	NOUN
ap-1674	158	30	.	.	PUNCT
ap-1674	159	1	if	if	SCONJ
ap-1674	159	2	the	the	DET
ap-1674	159	3	convex	convex	NOUN
ap-1674	159	4	particles	particle	NOUN
ap-1674	159	5	overlap	overlap	VERB
ap-1674	159	6	or	or	CCONJ
ap-1674	159	7	touch	touch	VERB
ap-1674	159	8	each	each	DET
ap-1674	159	9	other	other	ADJ
ap-1674	159	10	,	,	PUNCT
ap-1674	159	11	then	then	ADV
ap-1674	159	12	the	the	DET
ap-1674	159	13	procedure	procedure	NOUN
ap-1674	159	14	converges	converge	VERB
ap-1674	159	15	to	to	ADP
ap-1674	159	16	geometrically	geometrically	ADV
ap-1674	159	17	identical	identical	ADJ
ap-1674	159	18	points	point	NOUN
ap-1674	159	19	on	on	ADP
ap-1674	159	20	the	the	DET
ap-1674	159	21	intersection	intersection	NOUN
ap-1674	159	22	of	of	ADP
ap-1674	159	23	the	the	DET
ap-1674	159	24	particles4	particles4	NOUN
ap-1674	159	25	.	.	PUNCT
ap-1674	160	1	to	to	PART
ap-1674	160	2	speed	speed	VERB
ap-1674	160	3	up	up	ADP
ap-1674	160	4	identification	identification	NOUN
ap-1674	160	5	of	of	ADP
ap-1674	160	6	the	the	DET
ap-1674	160	7	overlapping	overlap	VERB
ap-1674	160	8	particles	particle	NOUN
ap-1674	160	9	,	,	PUNCT
ap-1674	160	10	the	the	DET
ap-1674	160	11	points	point	NOUN
ap-1674	160	12	projected	project	VERB
ap-1674	160	13	to	to	ADP
ap-1674	160	14	the	the	DET
ap-1674	160	15	surface	surface	NOUN
ap-1674	160	16	of	of	ADP
ap-1674	160	17	one	one	NUM
ap-1674	160	18	particle	particle	NOUN
ap-1674	160	19	are	be	AUX
ap-1674	160	20	checked	check	VERB
ap-1674	160	21	against	against	ADP
ap-1674	160	22	being	be	AUX
ap-1674	160	23	inside	inside	ADP
ap-1674	160	24	the	the	DET
ap-1674	160	25	other	other	ADJ
ap-1674	160	26	particle	particle	NOUN
ap-1674	160	27	before	before	ADP
ap-1674	160	28	projecting	project	VERB
ap-1674	160	29	it	it	PRON
ap-1674	160	30	to	to	ADP
ap-1674	160	31	the	the	DET
ap-1674	160	32	other	other	ADJ
ap-1674	160	33	particle	particle	NOUN
ap-1674	160	34	.	.	PUNCT
ap-1674	161	1	if	if	SCONJ
ap-1674	161	2	the	the	DET
ap-1674	161	3	particles	particle	NOUN
ap-1674	161	4	are	be	AUX
ap-1674	161	5	not	not	PART
ap-1674	161	6	convex	convex	ADJ
ap-1674	161	7	(	(	PUNCT
ap-1674	161	8	which	which	PRON
ap-1674	161	9	is	be	AUX
ap-1674	161	10	the	the	DET
ap-1674	161	11	case	case	NOUN
ap-1674	161	12	for	for	ADP
ap-1674	161	13	the	the	DET
ap-1674	161	14	present	present	ADJ
ap-1674	161	15	study	study	NOUN
ap-1674	161	16	)	)	PUNCT
ap-1674	161	17	,	,	PUNCT
ap-1674	161	18	the	the	DET
ap-1674	161	19	staggered	staggered	ADJ
ap-1674	161	20	projection	projection	NOUN
ap-1674	161	21	generally	generally	ADV
ap-1674	161	22	results	result	VERB
ap-1674	161	23	in	in	ADP
ap-1674	161	24	points	point	NOUN
ap-1674	161	25	closest	close	ADJ
ap-1674	161	26	to	to	ADP
ap-1674	161	27	each	each	DET
ap-1674	161	28	other	other	ADJ
ap-1674	161	29	in	in	ADP
ap-1674	161	30	the	the	DET
ap-1674	161	31	local	local	ADJ
ap-1674	161	32	sense	sense	NOUN
ap-1674	161	33	only	only	ADV
ap-1674	161	34	(	(	PUNCT
ap-1674	161	35	points	point	NOUN
ap-1674	161	36	a1	a1	NOUN
ap-1674	161	37	and	and	CCONJ
ap-1674	161	38	a2	a2	PROPN
ap-1674	161	39	in	in	ADP
ap-1674	161	40	figure	figure	NOUN
ap-1674	161	41	8)	8)	NUM
ap-1674	161	42	,	,	PUNCT
ap-1674	161	43	depending	depend	VERB
ap-1674	161	44	on	on	ADP
ap-1674	161	45	the	the	DET
ap-1674	161	46	starting	starting	NOUN
ap-1674	161	47	point	point	NOUN
ap-1674	161	48	.	.	PUNCT
ap-1674	162	1	in	in	ADP
ap-1674	162	2	order	order	NOUN
ap-1674	162	3	to	to	PART
ap-1674	162	4	identify	identify	VERB
ap-1674	162	5	the	the	DET
ap-1674	162	6	closest	close	ADJ
ap-1674	162	7	points	point	NOUN
ap-1674	162	8	in	in	ADP
ap-1674	162	9	the	the	DET
ap-1674	162	10	global	global	ADJ
ap-1674	162	11	sense	sense	NOUN
ap-1674	162	12	(	(	PUNCT
ap-1674	162	13	points	point	NOUN
ap-1674	162	14	b1	b1	NOUN
ap-1674	162	15	and	and	CCONJ
ap-1674	162	16	b2	b2	NOUN
ap-1674	162	17	in	in	ADP
ap-1674	162	18	figure	figure	NOUN
ap-1674	162	19	8)	8)	NUM
ap-1674	162	20	,	,	PUNCT
ap-1674	162	21	the	the	DET
ap-1674	162	22	staggered	staggered	ADJ
ap-1674	162	23	projection	projection	NOUN
ap-1674	162	24	procedure	procedure	NOUN
ap-1674	162	25	is	be	AUX
ap-1674	162	26	performed	perform	VERB
ap-1674	162	27	for	for	ADP
ap-1674	162	28	several	several	ADJ
ap-1674	162	29	starting	starting	NOUN
ap-1674	162	30	points	point	NOUN
ap-1674	162	31	.	.	PUNCT
ap-1674	163	1	in	in	ADP
ap-1674	163	2	the	the	DET
ap-1674	163	3	present	present	ADJ
ap-1674	163	4	implementation	implementation	NOUN
ap-1674	163	5	,	,	PUNCT
ap-1674	163	6	the	the	DET
ap-1674	163	7	points	point	NOUN
ap-1674	163	8	used	use	VERB
ap-1674	163	9	to	to	PART
ap-1674	163	10	build	build	VERB
ap-1674	163	11	the	the	DET
ap-1674	163	12	refined	refined	ADJ
ap-1674	163	13	bounding	bounding	NOUN
ap-1674	163	14	box	box	NOUN
ap-1674	163	15	are	be	AUX
ap-1674	163	16	used	use	VERB
ap-1674	163	17	.	.	PUNCT
ap-1674	164	1	to	to	PART
ap-1674	164	2	limit	limit	VERB
ap-1674	164	3	the	the	DET
ap-1674	164	4	total	total	ADJ
ap-1674	164	5	number	number	NOUN
ap-1674	164	6	of	of	ADP
ap-1674	164	7	starting	start	VERB
ap-1674	164	8	points	point	NOUN
ap-1674	164	9	,	,	PUNCT
ap-1674	164	10	only	only	ADV
ap-1674	164	11	those	those	DET
ap-1674	164	12	points	point	NOUN
ap-1674	164	13	on	on	ADP
ap-1674	164	14	the	the	DET
ap-1674	164	15	surface	surface	NOUN
ap-1674	164	16	of	of	ADP
ap-1674	164	17	one	one	NUM
ap-1674	164	18	particle	particle	NOUN
ap-1674	164	19	which	which	PRON
ap-1674	164	20	are	be	AUX
ap-1674	164	21	inside	inside	ADP
ap-1674	164	22	the	the	DET
ap-1674	164	23	single	single	ADJ
ap-1674	164	24	bounding	bounding	NOUN
ap-1674	164	25	sphere	sphere	NOUN
ap-1674	164	26	of	of	ADP
ap-1674	164	27	the	the	DET
ap-1674	164	28	other	other	ADJ
ap-1674	164	29	particle	particle	NOUN
ap-1674	164	30	are	be	AUX
ap-1674	164	31	considered	consider	VERB
ap-1674	164	32	(	(	PUNCT
ap-1674	164	33	see	see	VERB
ap-1674	164	34	figure	figure	NOUN
ap-1674	164	35	9	9	NUM
ap-1674	164	36	)	)	PUNCT
ap-1674	164	37	.	.	PUNCT
ap-1674	165	1	from	from	ADP
ap-1674	165	2	this	this	DET
ap-1674	165	3	point	point	NOUN
ap-1674	165	4	of	of	ADP
ap-1674	165	5	view	view	NOUN
ap-1674	165	6	,	,	PUNCT
ap-1674	165	7	local	local	ADJ
ap-1674	165	8	refinement	refinement	NOUN
ap-1674	165	9	of	of	ADP
ap-1674	165	10	the	the	DET
ap-1674	165	11	basic	basic	ADJ
ap-1674	165	12	surface	surface	NOUN
ap-1674	165	13	triangulation	triangulation	NOUN
ap-1674	165	14	(	(	PUNCT
ap-1674	165	15	used	use	VERB
ap-1674	165	16	to	to	PART
ap-1674	165	17	build	build	VERB
ap-1674	165	18	the	the	DET
ap-1674	165	19	refined	refined	ADJ
ap-1674	165	20	bounding	bounding	NOUN
ap-1674	165	21	box	box	NOUN
ap-1674	165	22	)	)	PUNCT
ap-1674	165	23	has	have	VERB
ap-1674	165	24	a	a	DET
ap-1674	165	25	clear	clear	ADJ
ap-1674	165	26	advantage	advantage	NOUN
ap-1674	165	27	over	over	ADP
ap-1674	165	28	global	global	ADJ
ap-1674	165	29	refinement	refinement	NOUN
ap-1674	165	30	,	,	PUNCT
ap-1674	165	31	as	as	SCONJ
ap-1674	165	32	it	it	PRON
ap-1674	165	33	yields	yield	VERB
ap-1674	165	34	fewer	few	ADJ
ap-1674	165	35	points	point	NOUN
ap-1674	165	36	that	that	PRON
ap-1674	165	37	can	can	AUX
ap-1674	165	38	potentially	potentially	ADV
ap-1674	165	39	be	be	AUX
ap-1674	165	40	used	use	VERB
ap-1674	165	41	as	as	ADP
ap-1674	165	42	starting	start	VERB
ap-1674	165	43	points	point	NOUN
ap-1674	165	44	for	for	ADP
ap-1674	165	45	the	the	DET
ap-1674	165	46	staggered	staggered	ADJ
ap-1674	165	47	projection	projection	NOUN
ap-1674	165	48	.	.	PUNCT
ap-1674	166	1	the	the	DET
ap-1674	166	2	performance	performance	NOUN
ap-1674	166	3	can	can	AUX
ap-1674	166	4	also	also	ADV
ap-1674	166	5	be	be	AUX
ap-1674	166	6	improved	improve	VERB
ap-1674	166	7	by	by	ADP
ap-1674	166	8	using	use	VERB
ap-1674	166	9	only	only	ADV
ap-1674	166	10	those	those	DET
ap-1674	166	11	surface	surface	NOUN
ap-1674	166	12	points	point	NOUN
ap-1674	166	13	of	of	ADP
ap-1674	166	14	one	one	NUM
ap-1674	166	15	particle	particle	NOUN
ap-1674	166	16	,	,	PUNCT
ap-1674	166	17	within	within	ADP
ap-1674	166	18	the	the	DET
ap-1674	166	19	single	single	ADJ
ap-1674	166	20	bounding	bounding	NOUN
ap-1674	166	21	sphere	sphere	NOUN
ap-1674	166	22	of	of	ADP
ap-1674	166	23	the	the	DET
ap-1674	166	24	other	other	ADJ
ap-1674	166	25	particle	particle	NOUN
ap-1674	166	26	,	,	PUNCT
ap-1674	166	27	which	which	PRON
ap-1674	166	28	4there	4there	PRON
ap-1674	166	29	is	be	AUX
ap-1674	166	30	a	a	DET
ap-1674	166	31	pathological	pathological	ADJ
ap-1674	166	32	case	case	NOUN
ap-1674	166	33	(	(	PUNCT
ap-1674	166	34	not	not	PART
ap-1674	166	35	too	too	ADV
ap-1674	166	36	likely	likely	ADJ
ap-1674	166	37	to	to	PART
ap-1674	166	38	happen	happen	VERB
ap-1674	166	39	because	because	SCONJ
ap-1674	166	40	of	of	ADP
ap-1674	166	41	round	round	VERB
ap-1674	166	42	-	-	PUNCT
ap-1674	166	43	off	off	ADP
ap-1674	166	44	errors	error	NOUN
ap-1674	166	45	)	)	PUNCT
ap-1674	166	46	,	,	PUNCT
ap-1674	166	47	when	when	SCONJ
ap-1674	166	48	the	the	DET
ap-1674	166	49	starting	starting	NOUN
ap-1674	166	50	point	point	NOUN
ap-1674	166	51	is	be	AUX
ap-1674	166	52	located	locate	VERB
ap-1674	166	53	on	on	ADP
ap-1674	166	54	a	a	DET
ap-1674	166	55	line	line	NOUN
ap-1674	166	56	which	which	PRON
ap-1674	166	57	is	be	AUX
ap-1674	166	58	normal	normal	ADJ
ap-1674	166	59	simultaneously	simultaneously	ADV
ap-1674	166	60	to	to	ADP
ap-1674	166	61	both	both	DET
ap-1674	166	62	overlapping	overlap	VERB
ap-1674	166	63	particles	particle	NOUN
ap-1674	166	64	.	.	PUNCT
ap-1674	167	1	in	in	ADP
ap-1674	167	2	this	this	DET
ap-1674	167	3	case	case	NOUN
ap-1674	167	4	,	,	PUNCT
ap-1674	167	5	the	the	DET
ap-1674	167	6	closest	close	ADJ
ap-1674	167	7	points	point	NOUN
ap-1674	167	8	are	be	AUX
ap-1674	167	9	distinct	distinct	ADJ
ap-1674	167	10	,	,	PUNCT
ap-1674	167	11	each	each	DET
ap-1674	167	12	one	one	NUM
ap-1674	167	13	inside	inside	ADP
ap-1674	167	14	the	the	DET
ap-1674	167	15	other	other	ADJ
ap-1674	167	16	particle	particle	NOUN
ap-1674	167	17	.	.	PUNCT
ap-1674	168	1	1ec	1ec	ADJ
ap-1674	168	2	1	1	NUM
ap-1674	168	3	ec2	ec2	NOUN
ap-1674	168	4	2	2	NUM
ap-1674	168	5	1	1	NUM
ap-1674	168	6	2	2	NUM
ap-1674	168	7	bs	bs	NOUN
ap-1674	168	8	bs	bs	NOUN
ap-1674	168	9	figure	figure	NOUN
ap-1674	168	10	9	9	NUM
ap-1674	168	11	:	:	PUNCT
ap-1674	168	12	points	point	NOUN
ap-1674	168	13	(	(	PUNCT
ap-1674	168	14	white	white	ADJ
ap-1674	168	15	circles	circle	NOUN
ap-1674	168	16	)	)	PUNCT
ap-1674	168	17	used	use	VERB
ap-1674	168	18	as	as	ADP
ap-1674	168	19	starting	start	VERB
ap-1674	168	20	points	point	NOUN
ap-1674	168	21	for	for	ADP
ap-1674	168	22	the	the	DET
ap-1674	168	23	intersection	intersection	NOUN
ap-1674	168	24	check	check	NOUN
ap-1674	168	25	of	of	ADP
ap-1674	168	26	particles	particle	NOUN
ap-1674	168	27	represented	represent	VERB
ap-1674	168	28	by	by	ADP
ap-1674	168	29	the	the	DET
ap-1674	168	30	real	real	ADJ
ap-1674	168	31	geometry	geometry	NOUN
ap-1674	168	32	.	.	PUNCT
ap-1674	169	1	bsi	bsi	PROPN
ap-1674	169	2	indicates	indicate	VERB
ap-1674	169	3	the	the	DET
ap-1674	169	4	single	single	ADJ
ap-1674	169	5	bounding	bounding	NOUN
ap-1674	169	6	sphere	sphere	NOUN
ap-1674	169	7	of	of	ADP
ap-1674	169	8	the	the	DET
ap-1674	169	9	i	i	PROPN
ap-1674	169	10	-	-	PUNCT
ap-1674	169	11	th	th	X
ap-1674	169	12	particle	particle	NOUN
ap-1674	169	13	.	.	PUNCT
ap-1674	170	1	are	be	AUX
ap-1674	170	2	closest	close	ADJ
ap-1674	170	3	to	to	ADP
ap-1674	170	4	any	any	PRON
ap-1674	170	5	of	of	ADP
ap-1674	170	6	the	the	DET
ap-1674	170	7	surface	surface	NOUN
ap-1674	170	8	points	point	NOUN
ap-1674	170	9	on	on	ADP
ap-1674	170	10	the	the	DET
ap-1674	170	11	other	other	ADJ
ap-1674	170	12	particle	particle	NOUN
ap-1674	170	13	.	.	PUNCT
ap-1674	171	1	however	however	ADV
ap-1674	171	2	,	,	PUNCT
ap-1674	171	3	this	this	DET
ap-1674	171	4	acceleration	acceleration	NOUN
ap-1674	171	5	may	may	AUX
ap-1674	171	6	determine	determine	VERB
ap-1674	171	7	only	only	ADV
ap-1674	171	8	the	the	DET
ap-1674	171	9	locally	locally	ADV
ap-1674	171	10	closest	close	ADJ
ap-1674	171	11	points	point	NOUN
ap-1674	171	12	.	.	PUNCT
ap-1674	172	1	note	note	VERB
ap-1674	172	2	that	that	SCONJ
ap-1674	172	3	,	,	PUNCT
ap-1674	172	4	in	in	ADP
ap-1674	172	5	some	some	DET
ap-1674	172	6	pathological	pathological	ADJ
ap-1674	172	7	cases	case	NOUN
ap-1674	172	8	,	,	PUNCT
ap-1674	172	9	there	there	PRON
ap-1674	172	10	may	may	AUX
ap-1674	172	11	be	be	AUX
ap-1674	172	12	no	no	DET
ap-1674	172	13	starting	starting	NOUN
ap-1674	172	14	points	point	NOUN
ap-1674	172	15	or	or	CCONJ
ap-1674	172	16	only	only	ADV
ap-1674	172	17	a	a	DET
ap-1674	172	18	few	few	ADJ
ap-1674	172	19	starting	starting	NOUN
ap-1674	172	20	points	point	NOUN
ap-1674	172	21	,	,	PUNCT
ap-1674	172	22	within	within	ADP
ap-1674	172	23	the	the	DET
ap-1674	172	24	single	single	ADJ
ap-1674	172	25	bounding	bounding	NOUN
ap-1674	172	26	spheres	sphere	NOUN
ap-1674	172	27	,	,	PUNCT
ap-1674	172	28	even	even	ADV
ap-1674	172	29	if	if	SCONJ
ap-1674	172	30	the	the	DET
ap-1674	172	31	refined	refined	ADJ
ap-1674	172	32	bounding	bounding	NOUN
ap-1674	172	33	boxes	box	NOUN
ap-1674	172	34	overlap	overlap	VERB
ap-1674	172	35	.	.	PUNCT
ap-1674	173	1	in	in	ADP
ap-1674	173	2	this	this	DET
ap-1674	173	3	case	case	NOUN
ap-1674	173	4	,	,	PUNCT
ap-1674	173	5	the	the	DET
ap-1674	173	6	radii	radius	NOUN
ap-1674	173	7	of	of	ADP
ap-1674	173	8	the	the	DET
ap-1674	173	9	single	single	ADJ
ap-1674	173	10	bounding	bounding	NOUN
ap-1674	173	11	spheres	sphere	NOUN
ap-1674	173	12	are	be	AUX
ap-1674	173	13	slightly	slightly	ADV
ap-1674	173	14	enlarged	enlarge	VERB
ap-1674	173	15	to	to	PART
ap-1674	173	16	identify	identify	VERB
ap-1674	173	17	a	a	DET
ap-1674	173	18	large	large	ADJ
ap-1674	173	19	enough	enough	ADJ
ap-1674	173	20	number	number	NOUN
ap-1674	173	21	of	of	ADP
ap-1674	173	22	starting	start	VERB
ap-1674	173	23	points	point	NOUN
ap-1674	173	24	.	.	PUNCT
ap-1674	174	1	it	it	PRON
ap-1674	174	2	is	be	AUX
ap-1674	174	3	apparent	apparent	ADJ
ap-1674	174	4	that	that	SCONJ
ap-1674	174	5	the	the	DET
ap-1674	174	6	above	above	ADJ
ap-1674	174	7	approach	approach	NOUN
ap-1674	174	8	is	be	AUX
ap-1674	174	9	appropriate	appropriate	ADJ
ap-1674	174	10	for	for	ADP
ap-1674	174	11	identifying	identify	VERB
ap-1674	174	12	whether	whether	SCONJ
ap-1674	174	13	two	two	NUM
ap-1674	174	14	particles	particle	NOUN
ap-1674	174	15	do	do	VERB
ap-1674	174	16	or	or	CCONJ
ap-1674	174	17	do	do	AUX
ap-1674	174	18	not	not	PART
ap-1674	174	19	intersect	intersect	VERB
ap-1674	174	20	,	,	PUNCT
ap-1674	174	21	and	and	CCONJ
ap-1674	174	22	for	for	ADP
ap-1674	174	23	determining	determine	VERB
ap-1674	174	24	the	the	DET
ap-1674	174	25	distance	distance	NOUN
ap-1674	174	26	that	that	PRON
ap-1674	174	27	is	be	AUX
ap-1674	174	28	needed	need	VERB
ap-1674	174	29	for	for	ADP
ap-1674	174	30	estimating	estimate	VERB
ap-1674	174	31	the	the	DET
ap-1674	174	32	scaling	scale	VERB
ap-1674	174	33	factor	factor	NOUN
ap-1674	174	34	(	(	PUNCT
ap-1674	174	35	see	see	VERB
ap-1674	174	36	below	below	ADV
ap-1674	174	37	)	)	PUNCT
ap-1674	174	38	of	of	ADP
ap-1674	174	39	close	close	ADJ
ap-1674	174	40	enough	enough	ADJ
ap-1674	174	41	particles	particle	NOUN
ap-1674	174	42	(	(	PUNCT
ap-1674	174	43	with	with	ADP
ap-1674	174	44	overlapping	overlap	VERB
ap-1674	174	45	refined	refined	ADJ
ap-1674	174	46	bounding	bounding	NOUN
ap-1674	174	47	boxes	box	NOUN
ap-1674	174	48	)	)	PUNCT
ap-1674	174	49	.	.	PUNCT
ap-1674	175	1	the	the	DET
ap-1674	175	2	distance	distance	NOUN
ap-1674	175	3	of	of	ADP
ap-1674	175	4	two	two	NUM
ap-1674	175	5	particles	particle	NOUN
ap-1674	175	6	with	with	ADP
ap-1674	175	7	non	non	ADJ
ap-1674	175	8	-	-	ADJ
ap-1674	175	9	overlapping	overlapping	ADJ
ap-1674	175	10	refined	refined	ADJ
ap-1674	175	11	bounding	bounding	NOUN
ap-1674	175	12	boxes	box	NOUN
ap-1674	175	13	is	be	AUX
ap-1674	175	14	only	only	ADV
ap-1674	175	15	approximated	approximate	VERB
ap-1674	175	16	by	by	ADP
ap-1674	175	17	the	the	DET
ap-1674	175	18	minimum	minimum	ADJ
ap-1674	175	19	distance	distance	NOUN
ap-1674	175	20	of	of	ADP
ap-1674	175	21	the	the	DET
ap-1674	175	22	spheres	sphere	NOUN
ap-1674	175	23	in	in	ADP
ap-1674	175	24	the	the	DET
ap-1674	175	25	refined	refined	ADJ
ap-1674	175	26	bounding	bounding	NOUN
ap-1674	175	27	boxes	box	NOUN
ap-1674	175	28	.	.	PUNCT
ap-1674	176	1	if	if	SCONJ
ap-1674	176	2	their	their	PRON
ap-1674	176	3	distance	distance	NOUN
ap-1674	176	4	is	be	AUX
ap-1674	176	5	to	to	PART
ap-1674	176	6	be	be	AUX
ap-1674	176	7	evaluated	evaluate	VERB
ap-1674	176	8	exactly	exactly	ADV
ap-1674	176	9	,	,	PUNCT
ap-1674	176	10	then	then	ADV
ap-1674	176	11	the	the	DET
ap-1674	176	12	starting	starting	NOUN
ap-1674	176	13	points	point	NOUN
ap-1674	176	14	for	for	ADP
ap-1674	176	15	the	the	DET
ap-1674	176	16	staggered	staggered	ADJ
ap-1674	176	17	projection	projection	NOUN
ap-1674	176	18	are	be	AUX
ap-1674	176	19	determined	determine	VERB
ap-1674	176	20	using	use	VERB
ap-1674	176	21	enlarged	enlarge	VERB
ap-1674	176	22	single	single	ADJ
ap-1674	176	23	bounding	bounding	NOUN
ap-1674	176	24	spheres	sphere	NOUN
ap-1674	176	25	containing	contain	VERB
ap-1674	176	26	the	the	DET
ap-1674	176	27	expansion	expansion	NOUN
ap-1674	176	28	center	center	NOUN
ap-1674	176	29	of	of	ADP
ap-1674	176	30	the	the	DET
ap-1674	176	31	other	other	ADJ
ap-1674	176	32	particle	particle	NOUN
ap-1674	176	33	.	.	PUNCT
ap-1674	177	1	in	in	ADP
ap-1674	177	2	the	the	DET
ap-1674	177	3	second	second	ADJ
ap-1674	177	4	phase	phase	NOUN
ap-1674	177	5	of	of	ADP
ap-1674	177	6	the	the	DET
ap-1674	177	7	aggregate	aggregate	ADJ
ap-1674	177	8	packing	packing	NOUN
ap-1674	177	9	algorithm	algorithm	NOUN
ap-1674	177	10	,	,	PUNCT
ap-1674	177	11	each	each	PRON
ap-1674	177	12	of	of	ADP
ap-1674	177	13	the	the	DET
ap-1674	177	14	aggregate	aggregate	ADJ
ap-1674	177	15	particles	particle	NOUN
ap-1674	177	16	is	be	AUX
ap-1674	177	17	expanded	expand	VERB
ap-1674	177	18	(	(	PUNCT
ap-1674	177	19	scaled	scale	VERB
ap-1674	177	20	with	with	ADP
ap-1674	177	21	respect	respect	NOUN
ap-1674	177	22	to	to	ADP
ap-1674	177	23	its	its	PRON
ap-1674	177	24	expansion	expansion	NOUN
ap-1674	177	25	center	center	NOUN
ap-1674	177	26	)	)	PUNCT
ap-1674	177	27	,	,	PUNCT
ap-1674	177	28	and	and	CCONJ
ap-1674	177	29	is	be	AUX
ap-1674	177	30	shifted	shift	VERB
ap-1674	177	31	until	until	SCONJ
ap-1674	177	32	it	it	PRON
ap-1674	177	33	is	be	AUX
ap-1674	177	34	touching	touch	VERB
ap-1674	177	35	at	at	ADP
ap-1674	177	36	least	least	ADV
ap-1674	177	37	two	two	NUM
ap-1674	177	38	of	of	ADP
ap-1674	177	39	its	its	PRON
ap-1674	177	40	surrounding	surround	VERB
ap-1674	177	41	particles	particle	NOUN
ap-1674	177	42	or	or	CCONJ
ap-1674	177	43	,	,	PUNCT
ap-1674	177	44	if	if	SCONJ
ap-1674	177	45	periodicity	periodicity	NOUN
ap-1674	177	46	is	be	AUX
ap-1674	177	47	not	not	PART
ap-1674	177	48	considered	consider	VERB
ap-1674	177	49	,	,	PUNCT
ap-1674	177	50	one	one	NUM
ap-1674	177	51	or	or	CCONJ
ap-1674	177	52	more	more	ADJ
ap-1674	177	53	sides	side	NOUN
ap-1674	177	54	of	of	ADP
ap-1674	177	55	the	the	DET
ap-1674	177	56	representative	representative	ADJ
ap-1674	177	57	volume	volume	NOUN
ap-1674	177	58	.	.	PUNCT
ap-1674	178	1	note	note	VERB
ap-1674	178	2	that	that	SCONJ
ap-1674	178	3	this	this	PRON
ap-1674	178	4	may	may	AUX
ap-1674	178	5	lead	lead	VERB
ap-1674	178	6	to	to	ADP
ap-1674	178	7	the	the	DET
ap-1674	178	8	introduction	introduction	NOUN
ap-1674	178	9	of	of	ADP
ap-1674	178	10	additional	additional	ADJ
ap-1674	178	11	periodic	periodic	ADJ
ap-1674	178	12	particles	particle	NOUN
ap-1674	178	13	,	,	PUNCT
ap-1674	178	14	if	if	SCONJ
ap-1674	178	15	a	a	DET
ap-1674	178	16	representative	representative	ADJ
ap-1674	178	17	volume	volume	NOUN
ap-1674	178	18	with	with	ADP
ap-1674	178	19	a	a	DET
ap-1674	178	20	periodic	periodic	ADJ
ap-1674	178	21	boundary	boundary	NOUN
ap-1674	178	22	is	be	AUX
ap-1674	178	23	considered	consider	VERB
ap-1674	178	24	.	.	PUNCT
ap-1674	179	1	the	the	DET
ap-1674	179	2	expansion	expansion	NOUN
ap-1674	179	3	is	be	AUX
ap-1674	179	4	a	a	DET
ap-1674	179	5	computationally	computationally	ADV
ap-1674	179	6	demanding	demanding	ADJ
ap-1674	179	7	process	process	NOUN
ap-1674	179	8	that	that	PRON
ap-1674	179	9	must	must	AUX
ap-1674	179	10	be	be	AUX
ap-1674	179	11	performed	perform	VERB
ap-1674	179	12	in	in	ADP
ap-1674	179	13	an	an	DET
ap-1674	179	14	iterative	iterative	NOUN
ap-1674	179	15	manner	manner	NOUN
ap-1674	179	16	.	.	PUNCT
ap-1674	180	1	in	in	ADP
ap-1674	180	2	order	order	NOUN
ap-1674	180	3	to	to	PART
ap-1674	180	4	reduce	reduce	VERB
ap-1674	180	5	the	the	DET
ap-1674	180	6	computational	computational	ADJ
ap-1674	180	7	load	load	NOUN
ap-1674	180	8	related	relate	VERB
ap-1674	180	9	to	to	ADP
ap-1674	180	10	the	the	DET
ap-1674	180	11	calculation	calculation	NOUN
ap-1674	180	12	of	of	ADP
ap-1674	180	13	the	the	DET
ap-1674	180	14	distance	distance	NOUN
ap-1674	180	15	of	of	ADP
ap-1674	180	16	two	two	NUM
ap-1674	180	17	aggregate	aggregate	ADJ
ap-1674	180	18	particles	particle	NOUN
ap-1674	180	19	(	(	PUNCT
ap-1674	180	20	needed	need	VERB
ap-1674	180	21	for	for	ADP
ap-1674	180	22	estimating	estimate	VERB
ap-1674	180	23	the	the	DET
ap-1674	180	24	scaling	scale	VERB
ap-1674	180	25	factor	factor	NOUN
ap-1674	180	26	)	)	PUNCT
ap-1674	180	27	and	and	CCONJ
ap-1674	180	28	also	also	ADV
ap-1674	180	29	to	to	ADP
ap-1674	180	30	the	the	DET
ap-1674	180	31	intersection	intersection	NOUN
ap-1674	180	32	check	check	NOUN
ap-1674	180	33	(	(	PUNCT
ap-1674	180	34	needed	need	VERB
ap-1674	180	35	for	for	ADP
ap-1674	180	36	verifying	verify	VERB
ap-1674	180	37	that	that	SCONJ
ap-1674	180	38	the	the	DET
ap-1674	180	39	scaling	scaling	NOUN
ap-1674	180	40	has	have	AUX
ap-1674	180	41	not	not	PART
ap-1674	180	42	been	be	AUX
ap-1674	180	43	overestimated	overestimate	VERB
ap-1674	180	44	)	)	PUNCT
ap-1674	180	45	,	,	PUNCT
ap-1674	180	46	only	only	ADV
ap-1674	180	47	particles	particle	NOUN
ap-1674	180	48	in	in	ADP
ap-1674	180	49	the	the	DET
ap-1674	180	50	immediate	immediate	ADJ
ap-1674	180	51	neighbourhood	neighbourhood	NOUN
ap-1674	180	52	are	be	AUX
ap-1674	180	53	considered	consider	VERB
ap-1674	180	54	.	.	PUNCT
ap-1674	181	1	since	since	SCONJ
ap-1674	181	2	a	a	DET
ap-1674	181	3	large	large	ADJ
ap-1674	181	4	number	number	NOUN
ap-1674	181	5	of	of	ADP
ap-1674	181	6	iterations	iteration	NOUN
ap-1674	181	7	are	be	AUX
ap-1674	181	8	required	require	VERB
ap-1674	181	9	to	to	PART
ap-1674	181	10	achieve	achieve	VERB
ap-1674	181	11	touching	touching	ADJ
ap-1674	181	12	(	(	PUNCT
ap-1674	181	13	within	within	ADP
ap-1674	181	14	the	the	DET
ap-1674	181	15	round	round	NOUN
ap-1674	181	16	-	-	PUNCT
ap-1674	181	17	off	off	ADP
ap-1674	181	18	error	error	NOUN
ap-1674	181	19	)	)	PUNCT
ap-1674	181	20	of	of	ADP
ap-1674	181	21	two	two	NUM
ap-1674	181	22	neighbouring	neighbouring	ADJ
ap-1674	181	23	particles	particle	NOUN
ap-1674	181	24	,	,	PUNCT
ap-1674	181	25	the	the	DET
ap-1674	181	26	43	43	NUM
ap-1674	181	27	acta	acta	PROPN
ap-1674	181	28	polytechnica	polytechnica	PROPN
ap-1674	181	29	vol	vol	NOUN
ap-1674	181	30	.	.	PROPN
ap-1674	182	1	52	52	NUM
ap-1674	182	2	no	no	NOUN
ap-1674	182	3	.	.	PUNCT
ap-1674	183	1	6/2012	6/2012	NUM
ap-1674	183	2	a)b	a)b	NOUN
ap-1674	183	3	)	)	PUNCT
ap-1674	183	4	d)c	d)c	NOUN
ap-1674	183	5	)	)	PUNCT
ap-1674	183	6	figure	figure	NOUN
ap-1674	183	7	10	10	NUM
ap-1674	183	8	:	:	PUNCT
ap-1674	183	9	aggregates	aggregate	VERB
ap-1674	183	10	packing	pack	VERB
ap-1674	183	11	procedure	procedure	NOUN
ap-1674	183	12	:	:	PUNCT
ap-1674	183	13	a	a	X
ap-1674	183	14	)	)	PUNCT
ap-1674	183	15	container	container	NOUN
ap-1674	183	16	of	of	ADP
ap-1674	183	17	aggregate	aggregate	ADJ
ap-1674	183	18	shapes	shape	NOUN
ap-1674	183	19	(	(	PUNCT
ap-1674	183	20	particles	particle	NOUN
ap-1674	183	21	are	be	AUX
ap-1674	183	22	rotated	rotate	VERB
ap-1674	183	23	according	accord	VERB
ap-1674	183	24	to	to	ADP
ap-1674	183	25	the	the	DET
ap-1674	183	26	final	final	ADJ
ap-1674	183	27	location	location	NOUN
ap-1674	183	28	;	;	PUNCT
ap-1674	183	29	only	only	ADV
ap-1674	183	30	used	use	VERB
ap-1674	183	31	shapes	shape	NOUN
ap-1674	183	32	are	be	AUX
ap-1674	183	33	shown	show	VERB
ap-1674	183	34	)	)	PUNCT
ap-1674	183	35	,	,	PUNCT
ap-1674	183	36	b	b	X
ap-1674	183	37	)	)	PUNCT
ap-1674	183	38	empty	empty	ADJ
ap-1674	183	39	representative	representative	ADJ
ap-1674	183	40	volume	volume	NOUN
ap-1674	183	41	,	,	PUNCT
ap-1674	183	42	c	c	NOUN
ap-1674	183	43	)	)	PUNCT
ap-1674	183	44	representative	representative	ADJ
ap-1674	183	45	volume	volume	NOUN
ap-1674	183	46	with	with	ADP
ap-1674	183	47	periodic	periodic	ADJ
ap-1674	183	48	aggregates	aggregate	NOUN
ap-1674	183	49	pack	pack	NOUN
ap-1674	183	50	,	,	PUNCT
ap-1674	183	51	d	d	X
ap-1674	183	52	)	)	PUNCT
ap-1674	183	53	representative	representative	ADJ
ap-1674	183	54	volume	volume	NOUN
ap-1674	183	55	with	with	ADP
ap-1674	183	56	periodic	periodic	ADJ
ap-1674	183	57	expanded	expand	VERB
ap-1674	183	58	aggregates	aggregate	NOUN
ap-1674	183	59	pack	pack	NOUN
ap-1674	183	60	.	.	PUNCT
ap-1674	184	1	scaling	scale	VERB
ap-1674	184	2	yielding	yield	VERB
ap-1674	184	3	non	non	ADJ
ap-1674	184	4	-	-	ADJ
ap-1674	184	5	overlapping	overlapping	ADJ
ap-1674	184	6	particles	particle	NOUN
ap-1674	184	7	closer	close	ADV
ap-1674	184	8	than	than	ADP
ap-1674	184	9	the	the	DET
ap-1674	184	10	sum	sum	NOUN
ap-1674	184	11	of	of	ADP
ap-1674	184	12	the	the	DET
ap-1674	184	13	thicknesses	thickness	NOUN
ap-1674	184	14	of	of	ADP
ap-1674	184	15	their	their	PRON
ap-1674	184	16	itzs	itz	NOUN
ap-1674	184	17	is	be	AUX
ap-1674	184	18	accepted	accept	VERB
ap-1674	184	19	as	as	ADP
ap-1674	184	20	approximate	approximate	ADJ
ap-1674	184	21	touching	touching	ADJ
ap-1674	184	22	.	.	PUNCT
ap-1674	185	1	note	note	VERB
ap-1674	185	2	that	that	SCONJ
ap-1674	185	3	although	although	SCONJ
ap-1674	185	4	this	this	DET
ap-1674	185	5	approach	approach	NOUN
ap-1674	185	6	allows	allow	VERB
ap-1674	185	7	us	we	PRON
ap-1674	185	8	to	to	PART
ap-1674	185	9	handle	handle	VERB
ap-1674	185	10	variable	variable	ADJ
ap-1674	185	11	itz	itz	PROPN
ap-1674	185	12	thickness	thickness	NOUN
ap-1674	185	13	,	,	PUNCT
ap-1674	185	14	we	we	PRON
ap-1674	185	15	utilize	utilize	VERB
ap-1674	185	16	a	a	DET
ap-1674	185	17	constant	constant	ADJ
ap-1674	185	18	thickness	thickness	NOUN
ap-1674	185	19	that	that	PRON
ap-1674	185	20	is	be	AUX
ap-1674	185	21	the	the	DET
ap-1674	185	22	same	same	ADJ
ap-1674	185	23	for	for	ADP
ap-1674	185	24	all	all	DET
ap-1674	185	25	particles	particle	NOUN
ap-1674	185	26	.	.	PUNCT
ap-1674	186	1	there	there	PRON
ap-1674	186	2	are	be	VERB
ap-1674	186	3	several	several	ADJ
ap-1674	186	4	expansion	expansion	NOUN
ap-1674	186	5	scenarios	scenario	NOUN
ap-1674	186	6	,	,	PUNCT
ap-1674	186	7	depending	depend	VERB
ap-1674	186	8	on	on	ADP
ap-1674	186	9	the	the	DET
ap-1674	186	10	order	order	NOUN
ap-1674	186	11	in	in	ADP
ap-1674	186	12	which	which	PRON
ap-1674	186	13	the	the	DET
ap-1674	186	14	aggregate	aggregate	ADJ
ap-1674	186	15	particles	particle	NOUN
ap-1674	186	16	are	be	AUX
ap-1674	186	17	processed	process	VERB
ap-1674	186	18	,	,	PUNCT
ap-1674	186	19	and	and	CCONJ
ap-1674	186	20	whether	whether	SCONJ
ap-1674	186	21	a	a	DET
ap-1674	186	22	maximum	maximum	ADJ
ap-1674	186	23	scaling	scale	VERB
ap-1674	186	24	factor	factor	NOUN
ap-1674	186	25	(	(	PUNCT
ap-1674	186	26	cumulative	cumulative	ADJ
ap-1674	186	27	within	within	ADP
ap-1674	186	28	a	a	DET
ap-1674	186	29	single	single	ADJ
ap-1674	186	30	expansion	expansion	NOUN
ap-1674	186	31	step	step	NOUN
ap-1674	186	32	)	)	PUNCT
ap-1674	186	33	is	be	AUX
ap-1674	186	34	prescribed	prescribe	VERB
ap-1674	186	35	.	.	PUNCT
ap-1674	187	1	currently	currently	ADV
ap-1674	187	2	,	,	PUNCT
ap-1674	187	3	the	the	DET
ap-1674	187	4	simplest	simple	ADJ
ap-1674	187	5	approach	approach	NOUN
ap-1674	187	6	is	be	AUX
ap-1674	187	7	adopted	adopt	VERB
ap-1674	187	8	,	,	PUNCT
ap-1674	187	9	in	in	ADP
ap-1674	187	10	which	which	PRON
ap-1674	187	11	the	the	DET
ap-1674	187	12	aggregate	aggregate	ADJ
ap-1674	187	13	particles	particle	NOUN
ap-1674	187	14	are	be	AUX
ap-1674	187	15	processed	process	VERB
ap-1674	187	16	in	in	ADP
ap-1674	187	17	the	the	DET
ap-1674	187	18	order	order	NOUN
ap-1674	187	19	in	in	ADP
ap-1674	187	20	which	which	PRON
ap-1674	187	21	they	they	PRON
ap-1674	187	22	were	be	AUX
ap-1674	187	23	packed	pack	VERB
ap-1674	187	24	into	into	ADP
ap-1674	187	25	the	the	DET
ap-1674	187	26	representative	representative	ADJ
ap-1674	187	27	volume	volume	NOUN
ap-1674	187	28	.	.	PUNCT
ap-1674	188	1	note	note	VERB
ap-1674	188	2	that	that	SCONJ
ap-1674	188	3	the	the	DET
ap-1674	188	4	expansion	expansion	NOUN
ap-1674	188	5	phase	phase	NOUN
ap-1674	188	6	results	result	VERB
ap-1674	188	7	in	in	ADP
ap-1674	188	8	a	a	DET
ap-1674	188	9	slight	slight	ADJ
ap-1674	188	10	violation	violation	NOUN
ap-1674	188	11	of	of	ADP
ap-1674	188	12	the	the	DET
ap-1674	188	13	initially	initially	ADV
ap-1674	188	14	prescribed	prescribe	VERB
ap-1674	188	15	size	size	NOUN
ap-1674	188	16	grading	grade	VERB
ap-1674	188	17	.	.	PUNCT
ap-1674	189	1	the	the	DET
ap-1674	189	2	whole	whole	ADJ
ap-1674	189	3	process	process	NOUN
ap-1674	189	4	of	of	ADP
ap-1674	189	5	the	the	DET
ap-1674	189	6	packing	packing	NOUN
ap-1674	189	7	procedure	procedure	NOUN
ap-1674	189	8	is	be	AUX
ap-1674	189	9	schematically	schematically	NOUN
ap-1674	189	10	depicted	depict	VERB
ap-1674	189	11	in	in	ADP
ap-1674	189	12	figure	figure	NOUN
ap-1674	189	13	10	10	NUM
ap-1674	189	14	for	for	ADP
ap-1674	189	15	a	a	DET
ap-1674	189	16	twodimensional	twodimensional	ADJ
ap-1674	189	17	example	example	NOUN
ap-1674	189	18	of	of	ADP
ap-1674	189	19	a	a	DET
ap-1674	189	20	periodic	periodic	ADJ
ap-1674	189	21	representative	representative	ADJ
ap-1674	189	22	volume	volume	NOUN
ap-1674	189	23	with	with	ADP
ap-1674	189	24	aggregate	aggregate	ADJ
ap-1674	189	25	particles	particle	NOUN
ap-1674	189	26	corresponding	correspond	VERB
ap-1674	189	27	to	to	ADP
ap-1674	189	28	three	three	NUM
ap-1674	189	29	size	size	NOUN
ap-1674	189	30	grades	grade	NOUN
ap-1674	189	31	(	(	PUNCT
ap-1674	189	32	distinguished	distinguish	VERB
ap-1674	189	33	by	by	ADP
ap-1674	189	34	different	different	ADJ
ap-1674	189	35	levels	level	NOUN
ap-1674	189	36	of	of	ADP
ap-1674	189	37	gray	gray	ADJ
ap-1674	189	38	)	)	PUNCT
ap-1674	189	39	.	.	PUNCT
ap-1674	190	1	note	note	VERB
ap-1674	190	2	that	that	SCONJ
ap-1674	190	3	some	some	PRON
ap-1674	190	4	of	of	ADP
ap-1674	190	5	the	the	DET
ap-1674	190	6	particles	particle	NOUN
ap-1674	190	7	appear	appear	VERB
ap-1674	190	8	in	in	ADP
ap-1674	190	9	the	the	DET
ap-1674	190	10	pack	pack	NOUN
ap-1674	190	11	more	more	ADJ
ap-1674	190	12	than	than	ADP
ap-1674	190	13	once	once	ADV
ap-1674	190	14	.	.	PUNCT
ap-1674	191	1	these	these	PRON
ap-1674	191	2	are	be	AUX
ap-1674	191	3	the	the	DET
ap-1674	191	4	periodic	periodic	ADJ
ap-1674	191	5	particles	particle	NOUN
ap-1674	191	6	,	,	PUNCT
ap-1674	191	7	and	and	CCONJ
ap-1674	191	8	they	they	PRON
ap-1674	191	9	can	can	AUX
ap-1674	191	10	easily	easily	ADV
ap-1674	191	11	be	be	AUX
ap-1674	191	12	identified	identify	VERB
ap-1674	191	13	in	in	ADP
ap-1674	191	14	figure	figure	NOUN
ap-1674	191	15	10	10	NUM
ap-1674	191	16	as	as	ADP
ap-1674	191	17	those	those	PRON
ap-1674	191	18	crossing	cross	VERB
ap-1674	191	19	the	the	DET
ap-1674	191	20	boundary	boundary	NOUN
ap-1674	191	21	of	of	ADP
ap-1674	191	22	the	the	DET
ap-1674	191	23	representative	representative	ADJ
ap-1674	191	24	volume	volume	NOUN
ap-1674	191	25	.	.	PUNCT
ap-1674	192	1	4	4	NUM
ap-1674	192	2	assessment	assessment	NOUN
ap-1674	192	3	of	of	ADP
ap-1674	192	4	itz	itz	PROPN
ap-1674	192	5	percolation	percolation	NOUN
ap-1674	192	6	after	after	SCONJ
ap-1674	192	7	the	the	DET
ap-1674	192	8	representative	representative	ADJ
ap-1674	192	9	aggregate	aggregate	ADJ
ap-1674	192	10	pack	pack	NOUN
ap-1674	192	11	is	be	AUX
ap-1674	192	12	available	available	ADJ
ap-1674	192	13	,	,	PUNCT
ap-1674	192	14	the	the	DET
ap-1674	192	15	itz	itz	PROPN
ap-1674	192	16	percolation	percolation	NOUN
ap-1674	192	17	has	have	VERB
ap-1674	192	18	to	to	PART
ap-1674	192	19	be	be	AUX
ap-1674	192	20	verified	verify	VERB
ap-1674	192	21	.	.	PUNCT
ap-1674	193	1	this	this	PRON
ap-1674	193	2	is	be	AUX
ap-1674	193	3	accomfigure	accomfigure	NOUN
ap-1674	193	4	11	11	NUM
ap-1674	193	5	:	:	PUNCT
ap-1674	193	6	some	some	PRON
ap-1674	193	7	of	of	ADP
ap-1674	193	8	the	the	DET
ap-1674	193	9	representative	representative	ADJ
ap-1674	193	10	shapes	shape	NOUN
ap-1674	193	11	of	of	ADP
ap-1674	193	12	aggregate	aggregate	ADJ
ap-1674	193	13	particles	particle	NOUN
ap-1674	193	14	.	.	PUNCT
ap-1674	194	1	plished	plishe	VERB
ap-1674	194	2	using	use	VERB
ap-1674	194	3	the	the	DET
ap-1674	194	4	hard	hard	ADJ
ap-1674	194	5	core	core	NOUN
ap-1674	194	6	–	–	PUNCT
ap-1674	194	7	soft	soft	ADJ
ap-1674	194	8	shell	shell	NOUN
ap-1674	194	9	model	model	NOUN
ap-1674	194	10	,	,	PUNCT
ap-1674	194	11	in	in	ADP
ap-1674	194	12	which	which	PRON
ap-1674	194	13	the	the	DET
ap-1674	194	14	hard	hard	ADJ
ap-1674	194	15	core	core	NOUN
ap-1674	194	16	is	be	AUX
ap-1674	194	17	formed	form	VERB
ap-1674	194	18	by	by	ADP
ap-1674	194	19	the	the	DET
ap-1674	194	20	aggregate	aggregate	ADJ
ap-1674	194	21	particle	particle	NOUN
ap-1674	194	22	and	and	CCONJ
ap-1674	194	23	the	the	DET
ap-1674	194	24	soft	soft	ADJ
ap-1674	194	25	shell	shell	NOUN
ap-1674	194	26	by	by	ADP
ap-1674	194	27	itz	itz	PROPN
ap-1674	194	28	of	of	ADP
ap-1674	194	29	constant	constant	ADJ
ap-1674	194	30	thickness	thickness	NOUN
ap-1674	194	31	(	(	PUNCT
ap-1674	194	32	the	the	DET
ap-1674	194	33	same	same	ADJ
ap-1674	194	34	for	for	ADP
ap-1674	194	35	all	all	DET
ap-1674	194	36	particles	particle	NOUN
ap-1674	194	37	,	,	PUNCT
ap-1674	194	38	irrespective	irrespective	ADV
ap-1674	194	39	of	of	ADP
ap-1674	194	40	their	their	PRON
ap-1674	194	41	size	size	NOUN
ap-1674	194	42	)	)	PUNCT
ap-1674	194	43	.	.	PUNCT
ap-1674	195	1	initially	initially	ADV
ap-1674	195	2	the	the	DET
ap-1674	195	3	connectivity	connectivity	NOUN
ap-1674	195	4	of	of	ADP
ap-1674	195	5	aggregate	aggregate	ADJ
ap-1674	195	6	particles	particle	NOUN
ap-1674	195	7	that	that	PRON
ap-1674	195	8	are	be	AUX
ap-1674	195	9	less	less	ADJ
ap-1674	195	10	than	than	ADP
ap-1674	195	11	twice	twice	DET
ap-1674	195	12	the	the	DET
ap-1674	195	13	thickness	thickness	NOUN
ap-1674	195	14	of	of	ADP
ap-1674	195	15	itz	itz	PROPN
ap-1674	195	16	apart	apart	ADV
ap-1674	195	17	is	be	AUX
ap-1674	195	18	built	build	VERB
ap-1674	195	19	up	up	ADP
ap-1674	195	20	.	.	PUNCT
ap-1674	196	1	note	note	VERB
ap-1674	196	2	that	that	SCONJ
ap-1674	196	3	this	this	DET
ap-1674	196	4	connectivity	connectivity	NOUN
ap-1674	196	5	has	have	AUX
ap-1674	196	6	already	already	ADV
ap-1674	196	7	been	be	AUX
ap-1674	196	8	established	establish	VERB
ap-1674	196	9	during	during	ADP
ap-1674	196	10	the	the	DET
ap-1674	196	11	aggregates	aggregate	NOUN
ap-1674	196	12	expansion	expansion	NOUN
ap-1674	196	13	process	process	NOUN
ap-1674	196	14	of	of	ADP
ap-1674	196	15	the	the	DET
ap-1674	196	16	aggregates	aggregate	NOUN
ap-1674	196	17	packing	packing	NOUN
ap-1674	196	18	procedure	procedure	NOUN
ap-1674	196	19	described	describe	VERB
ap-1674	196	20	in	in	ADP
ap-1674	196	21	section	section	NOUN
ap-1674	196	22	3	3	NUM
ap-1674	196	23	.	.	PUNCT
ap-1674	197	1	the	the	DET
ap-1674	197	2	mutually	mutually	ADV
ap-1674	197	3	connected	connected	ADJ
ap-1674	197	4	aggregate	aggregate	ADJ
ap-1674	197	5	particles	particle	NOUN
ap-1674	197	6	form	form	NOUN
ap-1674	197	7	regions	region	NOUN
ap-1674	197	8	that	that	PRON
ap-1674	197	9	are	be	AUX
ap-1674	197	10	surrounded	surround	VERB
ap-1674	197	11	by	by	ADP
ap-1674	197	12	distinct	distinct	ADJ
ap-1674	197	13	continuous	continuous	ADJ
ap-1674	197	14	itzs	itz	NOUN
ap-1674	197	15	.	.	PUNCT
ap-1674	198	1	itz	itz	PROPN
ap-1674	198	2	percolation	percolation	NOUN
ap-1674	198	3	occurs	occur	VERB
ap-1674	198	4	if	if	SCONJ
ap-1674	198	5	any	any	PRON
ap-1674	198	6	of	of	ADP
ap-1674	198	7	the	the	DET
ap-1674	198	8	distinct	distinct	ADJ
ap-1674	198	9	itzs	itz	NOUN
ap-1674	198	10	interconnects	interconnect	VERB
ap-1674	198	11	the	the	DET
ap-1674	198	12	opposite	opposite	ADJ
ap-1674	198	13	sides	side	NOUN
ap-1674	198	14	of	of	ADP
ap-1674	198	15	the	the	DET
ap-1674	198	16	representative	representative	ADJ
ap-1674	198	17	volume	volume	NOUN
ap-1674	198	18	(	(	PUNCT
ap-1674	198	19	preferably	preferably	ADV
ap-1674	198	20	in	in	ADP
ap-1674	198	21	all	all	DET
ap-1674	198	22	principal	principal	ADJ
ap-1674	198	23	directions	direction	NOUN
ap-1674	198	24	)	)	PUNCT
ap-1674	198	25	.	.	PUNCT
ap-1674	199	1	to	to	PART
ap-1674	199	2	prove	prove	VERB
ap-1674	199	3	that	that	SCONJ
ap-1674	199	4	a	a	DET
ap-1674	199	5	particular	particular	ADJ
ap-1674	199	6	pack	pack	NOUN
ap-1674	199	7	has	have	AUX
ap-1674	199	8	percolated	percolate	VERB
ap-1674	199	9	,	,	PUNCT
ap-1674	199	10	it	it	PRON
ap-1674	199	11	is	be	AUX
ap-1674	199	12	sufficient	sufficient	ADJ
ap-1674	199	13	to	to	PART
ap-1674	199	14	tag	tag	VERB
ap-1674	199	15	aggregate	aggregate	ADJ
ap-1674	199	16	particles	particle	NOUN
ap-1674	199	17	touching	touch	VERB
ap-1674	199	18	(	(	PUNCT
ap-1674	199	19	and/or	and/or	CCONJ
ap-1674	199	20	crossing	crossing	NOUN
ap-1674	199	21	,	,	PUNCT
ap-1674	199	22	if	if	SCONJ
ap-1674	199	23	the	the	DET
ap-1674	199	24	periodicity	periodicity	NOUN
ap-1674	199	25	of	of	ADP
ap-1674	199	26	the	the	DET
ap-1674	199	27	pack	pack	NOUN
ap-1674	199	28	is	be	AUX
ap-1674	199	29	taken	take	VERB
ap-1674	199	30	into	into	ADP
ap-1674	199	31	account	account	NOUN
ap-1674	199	32	)	)	PUNCT
ap-1674	200	1	opposite	opposite	ADJ
ap-1674	200	2	sides	side	NOUN
ap-1674	200	3	of	of	ADP
ap-1674	200	4	the	the	DET
ap-1674	200	5	representative	representative	ADJ
ap-1674	200	6	volume	volume	NOUN
ap-1674	200	7	(	(	PUNCT
ap-1674	200	8	using	use	VERB
ap-1674	200	9	a	a	DET
ap-1674	200	10	different	different	ADJ
ap-1674	200	11	tag	tag	NOUN
ap-1674	200	12	for	for	ADP
ap-1674	200	13	each	each	DET
ap-1674	200	14	side	side	NOUN
ap-1674	200	15	)	)	PUNCT
ap-1674	200	16	and	and	CCONJ
ap-1674	200	17	to	to	PART
ap-1674	200	18	verify	verify	VERB
ap-1674	200	19	whether	whether	SCONJ
ap-1674	200	20	in	in	ADP
ap-1674	200	21	the	the	DET
ap-1674	200	22	connectivity	connectivity	NOUN
ap-1674	200	23	lists	list	NOUN
ap-1674	200	24	,	,	PUNCT
ap-1674	200	25	there	there	PRON
ap-1674	200	26	are	be	VERB
ap-1674	200	27	particles	particle	NOUN
ap-1674	200	28	marked	mark	VERB
ap-1674	200	29	by	by	ADP
ap-1674	200	30	tags	tag	NOUN
ap-1674	200	31	corresponding	correspond	VERB
ap-1674	200	32	to	to	ADP
ap-1674	200	33	opposite	opposite	ADJ
ap-1674	200	34	sides	side	NOUN
ap-1674	200	35	.	.	PUNCT
ap-1674	201	1	since	since	SCONJ
ap-1674	201	2	it	it	PRON
ap-1674	201	3	is	be	AUX
ap-1674	201	4	difficult	difficult	ADJ
ap-1674	201	5	to	to	PART
ap-1674	201	6	evaluate	evaluate	VERB
ap-1674	201	7	the	the	DET
ap-1674	201	8	itz	itz	PROPN
ap-1674	201	9	volume	volume	NOUN
ap-1674	201	10	fraction	fraction	NOUN
ap-1674	201	11	,	,	PUNCT
ap-1674	201	12	as	as	SCONJ
ap-1674	201	13	itz	itz	PROPN
ap-1674	201	14	is	be	AUX
ap-1674	201	15	free	free	ADJ
ap-1674	201	16	to	to	PART
ap-1674	201	17	overlap	overlap	VERB
ap-1674	201	18	itself	itself	PRON
ap-1674	201	19	,	,	PUNCT
ap-1674	201	20	itz	itz	PROPN
ap-1674	201	21	percolation	percolation	NOUN
ap-1674	201	22	is	be	AUX
ap-1674	201	23	indirectly	indirectly	ADV
ap-1674	201	24	described	describe	VERB
ap-1674	201	25	by	by	ADP
ap-1674	201	26	the	the	DET
ap-1674	201	27	aggregate	aggregate	ADJ
ap-1674	201	28	volume	volume	NOUN
ap-1674	201	29	fraction	fraction	NOUN
ap-1674	201	30	of	of	ADP
ap-1674	201	31	the	the	DET
ap-1674	201	32	total	total	ADJ
ap-1674	201	33	representative	representative	ADJ
ap-1674	201	34	volume	volume	NOUN
ap-1674	201	35	at	at	ADP
ap-1674	201	36	which	which	PRON
ap-1674	201	37	itz	itz	PROPN
ap-1674	201	38	percolation	percolation	NOUN
ap-1674	201	39	just	just	ADV
ap-1674	201	40	occurs	occur	VERB
ap-1674	201	41	.	.	PUNCT
ap-1674	202	1	note	note	VERB
ap-1674	202	2	that	that	SCONJ
ap-1674	202	3	generally	generally	ADV
ap-1674	202	4	only	only	ADV
ap-1674	202	5	the	the	DET
ap-1674	202	6	volume	volume	NOUN
ap-1674	202	7	of	of	ADP
ap-1674	202	8	the	the	DET
ap-1674	202	9	parts	part	NOUN
ap-1674	202	10	of	of	ADP
ap-1674	202	11	the	the	DET
ap-1674	202	12	aggregate	aggregate	ADJ
ap-1674	202	13	particles	particle	NOUN
ap-1674	202	14	that	that	PRON
ap-1674	202	15	are	be	AUX
ap-1674	202	16	inside	inside	ADP
ap-1674	202	17	the	the	DET
ap-1674	202	18	representative	representative	ADJ
ap-1674	202	19	volume	volume	NOUN
ap-1674	202	20	should	should	AUX
ap-1674	202	21	be	be	AUX
ap-1674	202	22	taken	take	VERB
ap-1674	202	23	into	into	ADP
ap-1674	202	24	consideration	consideration	NOUN
ap-1674	202	25	.	.	PUNCT
ap-1674	203	1	however	however	ADV
ap-1674	203	2	,	,	PUNCT
ap-1674	203	3	if	if	SCONJ
ap-1674	203	4	the	the	DET
ap-1674	203	5	aggregate	aggregate	ADJ
ap-1674	203	6	pack	pack	NOUN
ap-1674	203	7	is	be	AUX
ap-1674	203	8	built	build	VERB
ap-1674	203	9	as	as	ADP
ap-1674	203	10	periodic	periodic	NOUN
ap-1674	203	11	,	,	PUNCT
ap-1674	203	12	then	then	ADV
ap-1674	203	13	the	the	DET
ap-1674	203	14	whole	whole	ADJ
ap-1674	203	15	volume	volume	NOUN
ap-1674	203	16	of	of	ADP
ap-1674	203	17	each	each	DET
ap-1674	203	18	particle	particle	NOUN
ap-1674	203	19	is	be	AUX
ap-1674	203	20	taken	take	VERB
ap-1674	203	21	,	,	PUNCT
ap-1674	203	22	with	with	ADP
ap-1674	203	23	the	the	DET
ap-1674	203	24	exception	exception	NOUN
ap-1674	203	25	of	of	ADP
ap-1674	203	26	the	the	DET
ap-1674	203	27	periodic	periodic	ADJ
ap-1674	203	28	counterparts	counterpart	NOUN
ap-1674	203	29	,	,	PUNCT
ap-1674	203	30	which	which	PRON
ap-1674	203	31	are	be	AUX
ap-1674	203	32	ignored	ignore	VERB
ap-1674	203	33	.	.	PUNCT
ap-1674	204	1	5	5	NUM
ap-1674	204	2	example	example	NOUN
ap-1674	204	3	in	in	ADP
ap-1674	204	4	this	this	DET
ap-1674	204	5	section	section	NOUN
ap-1674	204	6	,	,	PUNCT
ap-1674	204	7	a	a	DET
ap-1674	204	8	single	single	ADJ
ap-1674	204	9	aggregate	aggregate	ADJ
ap-1674	204	10	pack	pack	NOUN
ap-1674	204	11	used	use	VERB
ap-1674	204	12	for	for	ADP
ap-1674	204	13	itz	itz	NOUN
ap-1674	204	14	percolation	percolation	NOUN
ap-1674	204	15	assessment	assessment	NOUN
ap-1674	204	16	is	be	AUX
ap-1674	204	17	presented	present	VERB
ap-1674	204	18	.	.	PUNCT
ap-1674	205	1	the	the	DET
ap-1674	205	2	pack	pack	NOUN
ap-1674	205	3	was	be	AUX
ap-1674	205	4	generated	generate	VERB
ap-1674	205	5	inside	inside	ADP
ap-1674	205	6	a	a	DET
ap-1674	205	7	representative	representative	ADJ
ap-1674	205	8	cube	cube	NOUN
ap-1674	205	9	50	50	NUM
ap-1674	205	10	mm	mm	NOUN
ap-1674	205	11	in	in	ADP
ap-1674	205	12	edge	edge	NOUN
ap-1674	205	13	length	length	NOUN
ap-1674	205	14	,	,	PUNCT
ap-1674	205	15	with	with	ADP
ap-1674	205	16	a	a	DET
ap-1674	205	17	total	total	ADJ
ap-1674	205	18	volumetric	volumetric	NOUN
ap-1674	205	19	content	content	NOUN
ap-1674	205	20	of	of	ADP
ap-1674	205	21	aggregates	aggregate	NOUN
ap-1674	205	22	prescribed	prescribe	VERB
ap-1674	205	23	to	to	ADP
ap-1674	205	24	50	50	NUM
ap-1674	205	25	%	%	NOUN
ap-1674	205	26	.	.	PUNCT
ap-1674	206	1	a	a	DET
ap-1674	206	2	total	total	NOUN
ap-1674	206	3	of	of	ADP
ap-1674	206	4	three	three	NUM
ap-1674	206	5	aggregates	aggregate	NOUN
ap-1674	206	6	size	size	NOUN
ap-1674	206	7	grades	grade	NOUN
ap-1674	206	8	were	be	AUX
ap-1674	206	9	used	use	VERB
ap-1674	206	10	.	.	PUNCT
ap-1674	207	1	the	the	DET
ap-1674	207	2	coarsest	coarse	ADJ
ap-1674	207	3	grade	grade	NOUN
ap-1674	207	4	ranges	range	VERB
ap-1674	207	5	from	from	ADP
ap-1674	207	6	8	8	NUM
ap-1674	207	7	to	to	PART
ap-1674	207	8	16	16	NUM
ap-1674	207	9	mm	mm	NOUN
ap-1674	207	10	,	,	PUNCT
ap-1674	207	11	the	the	DET
ap-1674	207	12	intermediate	intermediate	ADJ
ap-1674	207	13	grade	grade	NOUN
ap-1674	207	14	from	from	ADP
ap-1674	207	15	4	4	NUM
ap-1674	207	16	to	to	PART
ap-1674	207	17	8	8	NUM
ap-1674	207	18	mm	mm	NOUN
ap-1674	207	19	,	,	PUNCT
ap-1674	207	20	and	and	CCONJ
ap-1674	207	21	the	the	DET
ap-1674	207	22	finest	fine	ADJ
ap-1674	207	23	grade	grade	NOUN
ap-1674	207	24	from	from	ADP
ap-1674	207	25	0.5	0.5	NUM
ap-1674	207	26	to	to	PART
ap-1674	207	27	4	4	NUM
ap-1674	207	28	mm	mm	NOUN
ap-1674	207	29	.	.	PUNCT
ap-1674	208	1	the	the	DET
ap-1674	208	2	thickness	thickness	NOUN
ap-1674	208	3	44	44	NUM
ap-1674	208	4	acta	acta	PROPN
ap-1674	208	5	polytechnica	polytechnica	PROPN
ap-1674	208	6	vol	vol	NOUN
ap-1674	208	7	.	.	PROPN
ap-1674	209	1	52	52	NUM
ap-1674	209	2	no	no	NOUN
ap-1674	209	3	.	.	PUNCT
ap-1674	210	1	6/2012	6/2012	NUM
ap-1674	210	2	figure	figure	NOUN
ap-1674	210	3	12	12	NUM
ap-1674	210	4	:	:	PUNCT
ap-1674	210	5	aggregates	aggregate	NOUN
ap-1674	210	6	packing	pack	VERB
ap-1674	210	7	into	into	ADP
ap-1674	210	8	representative	representative	ADJ
ap-1674	210	9	cube	cube	NOUN
ap-1674	210	10	(	(	PUNCT
ap-1674	210	11	levels	level	NOUN
ap-1674	210	12	of	of	ADP
ap-1674	210	13	the	the	DET
ap-1674	210	14	gray	gray	ADJ
ap-1674	210	15	correspond	correspond	NOUN
ap-1674	210	16	to	to	ADP
ap-1674	210	17	individual	individual	ADJ
ap-1674	210	18	size	size	NOUN
ap-1674	210	19	grades	grade	NOUN
ap-1674	210	20	)	)	PUNCT
ap-1674	210	21	.	.	PUNCT
ap-1674	211	1	of	of	ADP
ap-1674	211	2	itz	itz	PROPN
ap-1674	211	3	was	be	AUX
ap-1674	211	4	chosen	choose	VERB
ap-1674	211	5	to	to	PART
ap-1674	211	6	be	be	AUX
ap-1674	211	7	30	30	NUM
ap-1674	211	8	µm	µm	NOUN
ap-1674	211	9	.	.	PUNCT
ap-1674	212	1	the	the	DET
ap-1674	212	2	container	container	NOUN
ap-1674	212	3	of	of	ADP
ap-1674	212	4	representative	representative	ADJ
ap-1674	212	5	aggregate	aggregate	ADJ
ap-1674	212	6	shapes	shape	NOUN
ap-1674	212	7	was	be	AUX
ap-1674	212	8	formed	form	VERB
ap-1674	212	9	by	by	ADP
ap-1674	212	10	100	100	NUM
ap-1674	212	11	aggregate	aggregate	ADJ
ap-1674	212	12	particles	particle	NOUN
ap-1674	212	13	derived	derive	VERB
ap-1674	212	14	from	from	ADP
ap-1674	212	15	a	a	DET
ap-1674	212	16	randomly	randomly	ADV
ap-1674	212	17	generated	generate	VERB
ap-1674	212	18	ellipsoid	ellipsoid	NOUN
ap-1674	212	19	by	by	ADP
ap-1674	212	20	randomly	randomly	ADV
ap-1674	212	21	scaling	scale	VERB
ap-1674	212	22	the	the	DET
ap-1674	212	23	length	length	NOUN
ap-1674	212	24	of	of	ADP
ap-1674	212	25	rays	ray	NOUN
ap-1674	212	26	r	r	NOUN
ap-1674	212	27	used	use	VERB
ap-1674	212	28	for	for	ADP
ap-1674	212	29	evaluating	evaluate	VERB
ap-1674	212	30	the	the	DET
ap-1674	212	31	coefficients	coefficient	NOUN
ap-1674	212	32	of	of	ADP
ap-1674	212	33	the	the	DET
ap-1674	212	34	spherical	spherical	ADJ
ap-1674	212	35	harmonic	harmonic	ADJ
ap-1674	212	36	expansion	expansion	NOUN
ap-1674	212	37	(	(	PUNCT
ap-1674	212	38	eq	eq	NOUN
ap-1674	212	39	.	.	PROPN
ap-1674	213	1	(	(	PUNCT
ap-1674	213	2	3	3	NUM
ap-1674	213	3	)	)	PUNCT
ap-1674	213	4	)	)	PUNCT
ap-1674	213	5	.	.	PUNCT
ap-1674	214	1	note	note	VERB
ap-1674	214	2	however	however	ADV
ap-1674	214	3	that	that	SCONJ
ap-1674	214	4	sufficient	sufficient	ADJ
ap-1674	214	5	correlation	correlation	NOUN
ap-1674	214	6	was	be	AUX
ap-1674	214	7	enforced	enforce	VERB
ap-1674	214	8	for	for	ADP
ap-1674	214	9	length	length	NOUN
ap-1674	214	10	of	of	ADP
ap-1674	214	11	rays	ray	NOUN
ap-1674	214	12	corresponding	correspond	VERB
ap-1674	214	13	to	to	ADP
ap-1674	214	14	adjacent	adjacent	ADJ
ap-1674	214	15	integration	integration	NOUN
ap-1674	214	16	points	point	NOUN
ap-1674	214	17	,	,	PUNCT
ap-1674	214	18	in	in	ADP
ap-1674	214	19	order	order	NOUN
ap-1674	214	20	to	to	PART
ap-1674	214	21	avoid	avoid	VERB
ap-1674	214	22	unrealistic	unrealistic	ADJ
ap-1674	214	23	artificial	artificial	ADJ
ap-1674	214	24	shapes	shape	NOUN
ap-1674	214	25	.	.	PUNCT
ap-1674	215	1	the	the	DET
ap-1674	215	2	expansion	expansion	NOUN
ap-1674	215	3	coefficients	coefficient	NOUN
ap-1674	215	4	were	be	AUX
ap-1674	215	5	calculated	calculate	VERB
ap-1674	215	6	for	for	ADP
ap-1674	215	7	an	an	DET
ap-1674	215	8	expansion	expansion	NOUN
ap-1674	215	9	order	order	NOUN
ap-1674	215	10	equal	equal	ADJ
ap-1674	215	11	to	to	ADP
ap-1674	215	12	20	20	NUM
ap-1674	215	13	,	,	PUNCT
ap-1674	215	14	using	use	VERB
ap-1674	215	15	128	128	NUM
ap-1674	215	16	-	-	PUNCT
ap-1674	215	17	point	point	NOUN
ap-1674	215	18	numerical	numerical	ADJ
ap-1674	215	19	gaussian	gaussian	ADJ
ap-1674	215	20	integration	integration	NOUN
ap-1674	215	21	.	.	PUNCT
ap-1674	216	1	some	some	PRON
ap-1674	216	2	of	of	ADP
ap-1674	216	3	the	the	DET
ap-1674	216	4	representative	representative	ADJ
ap-1674	216	5	aggregate	aggregate	ADJ
ap-1674	216	6	particles	particle	NOUN
ap-1674	216	7	are	be	AUX
ap-1674	216	8	visualized	visualize	VERB
ap-1674	216	9	in	in	ADP
ap-1674	216	10	figure	figure	NOUN
ap-1674	216	11	11	11	NUM
ap-1674	216	12	.	.	PUNCT
ap-1674	217	1	although	although	SCONJ
ap-1674	217	2	the	the	DET
ap-1674	217	3	particles	particle	NOUN
ap-1674	217	4	are	be	AUX
ap-1674	217	5	generated	generate	VERB
ap-1674	217	6	artificially	artificially	ADV
ap-1674	217	7	,	,	PUNCT
ap-1674	217	8	they	they	PRON
ap-1674	217	9	quite	quite	ADV
ap-1674	217	10	realistically	realistically	ADV
ap-1674	217	11	resemble	resemble	VERB
ap-1674	217	12	natural	natural	ADJ
ap-1674	217	13	riverbed	riverbed	NOUN
ap-1674	217	14	aggregates	aggregate	NOUN
ap-1674	217	15	.	.	PUNCT
ap-1674	218	1	the	the	DET
ap-1674	218	2	final	final	ADJ
ap-1674	218	3	aggregate	aggregate	ADJ
ap-1674	218	4	pack	pack	NOUN
ap-1674	218	5	,	,	PUNCT
ap-1674	218	6	shown	show	VERB
ap-1674	218	7	in	in	ADP
ap-1674	218	8	figures	figure	NOUN
ap-1674	218	9	12	12	NUM
ap-1674	218	10	and	and	CCONJ
ap-1674	218	11	13	13	NUM
ap-1674	218	12	,	,	PUNCT
ap-1674	218	13	contains	contain	VERB
ap-1674	218	14	2542	2542	NUM
ap-1674	218	15	particles	particle	NOUN
ap-1674	218	16	,	,	PUNCT
ap-1674	218	17	out	out	ADP
ap-1674	218	18	of	of	ADP
ap-1674	218	19	which	which	PRON
ap-1674	218	20	14	14	NUM
ap-1674	218	21	are	be	AUX
ap-1674	218	22	from	from	ADP
ap-1674	218	23	the	the	DET
ap-1674	218	24	coarse	coarse	ADJ
ap-1674	218	25	grade	grade	NOUN
ap-1674	218	26	,	,	PUNCT
ap-1674	218	27	161	161	NUM
ap-1674	218	28	from	from	ADP
ap-1674	218	29	the	the	DET
ap-1674	218	30	intermediate	intermediate	ADJ
ap-1674	218	31	grade	grade	NOUN
ap-1674	218	32	,	,	PUNCT
ap-1674	218	33	and	and	CCONJ
ap-1674	218	34	2367	2367	NUM
ap-1674	218	35	are	be	AUX
ap-1674	218	36	from	from	ADP
ap-1674	218	37	the	the	DET
ap-1674	218	38	fine	fine	ADJ
ap-1674	218	39	grade	grade	NOUN
ap-1674	218	40	.	.	PUNCT
ap-1674	219	1	the	the	DET
ap-1674	219	2	resulting	result	VERB
ap-1674	219	3	aggregate	aggregate	ADJ
ap-1674	219	4	volumetric	volumetric	NOUN
ap-1674	219	5	content	content	NOUN
ap-1674	219	6	was	be	AUX
ap-1674	219	7	53	53	NUM
ap-1674	219	8	%	%	NOUN
ap-1674	219	9	,	,	PUNCT
ap-1674	219	10	which	which	PRON
ap-1674	219	11	suggests	suggest	VERB
ap-1674	219	12	that	that	SCONJ
ap-1674	219	13	there	there	PRON
ap-1674	219	14	was	be	VERB
ap-1674	219	15	not	not	PART
ap-1674	219	16	much	much	ADJ
ap-1674	219	17	space	space	NOUN
ap-1674	219	18	for	for	ADP
ap-1674	219	19	particle	particle	NOUN
ap-1674	219	20	expansion	expansion	NOUN
ap-1674	219	21	.	.	PUNCT
ap-1674	220	1	however	however	ADV
ap-1674	220	2	,	,	PUNCT
ap-1674	220	3	the	the	DET
ap-1674	220	4	percolation	percolation	NOUN
ap-1674	220	5	of	of	ADP
ap-1674	220	6	itz	itz	PROPN
ap-1674	220	7	in	in	ADP
ap-1674	220	8	this	this	DET
ap-1674	220	9	particular	particular	ADJ
ap-1674	220	10	case	case	NOUN
ap-1674	220	11	was	be	AUX
ap-1674	220	12	not	not	PART
ap-1674	220	13	proved	prove	VERB
ap-1674	220	14	.	.	PUNCT
ap-1674	221	1	this	this	PRON
ap-1674	221	2	again	again	ADV
ap-1674	221	3	reveals	reveal	VERB
ap-1674	221	4	that	that	SCONJ
ap-1674	221	5	a	a	DET
ap-1674	221	6	more	more	ADV
ap-1674	221	7	powerful	powerful	ADJ
ap-1674	221	8	packing	packing	NOUN
ap-1674	221	9	procedure	procedure	NOUN
ap-1674	221	10	is	be	AUX
ap-1674	221	11	desirable	desirable	ADJ
ap-1674	221	12	for	for	ADP
ap-1674	221	13	the	the	DET
ap-1674	221	14	higher	high	ADJ
ap-1674	221	15	aggregate	aggregate	ADJ
ap-1674	221	16	volumetric	volumetric	NOUN
ap-1674	221	17	content	content	NOUN
ap-1674	221	18	at	at	ADP
ap-1674	221	19	which	which	PRON
ap-1674	221	20	itz	itz	PROPN
ap-1674	221	21	percolation	percolation	NOUN
ap-1674	221	22	may	may	AUX
ap-1674	221	23	occur	occur	VERB
ap-1674	221	24	.	.	PUNCT
ap-1674	222	1	6	6	NUM
ap-1674	222	2	conclusions	conclusion	NOUN
ap-1674	222	3	this	this	DET
ap-1674	222	4	paper	paper	NOUN
ap-1674	222	5	has	have	AUX
ap-1674	222	6	presented	present	VERB
ap-1674	222	7	an	an	DET
ap-1674	222	8	algorithm	algorithm	NOUN
ap-1674	222	9	for	for	ADP
ap-1674	222	10	geometrical	geometrical	ADJ
ap-1674	222	11	modeling	modeling	NOUN
ap-1674	222	12	of	of	ADP
ap-1674	222	13	the	the	DET
ap-1674	222	14	microstructure	microstructure	NOUN
ap-1674	222	15	of	of	ADP
ap-1674	222	16	concrete	concrete	NOUN
ap-1674	222	17	with	with	ADP
ap-1674	222	18	embedded	embed	VERB
ap-1674	222	19	aggregate	aggregate	ADJ
ap-1674	222	20	particles	particle	NOUN
ap-1674	222	21	of	of	ADP
ap-1674	222	22	realistic	realistic	ADJ
ap-1674	222	23	shape	shape	NOUN
ap-1674	222	24	.	.	PUNCT
ap-1674	223	1	unlike	unlike	ADP
ap-1674	223	2	figure	figure	NOUN
ap-1674	223	3	13	13	NUM
ap-1674	223	4	:	:	PUNCT
ap-1674	223	5	detail	detail	NOUN
ap-1674	223	6	of	of	ADP
ap-1674	223	7	aggregates	aggregate	NOUN
ap-1674	223	8	packing	pack	VERB
ap-1674	223	9	into	into	ADP
ap-1674	223	10	representative	representative	ADJ
ap-1674	223	11	cube	cube	NOUN
ap-1674	223	12	.	.	PUNCT
ap-1674	224	1	other	other	ADJ
ap-1674	224	2	works	work	NOUN
ap-1674	224	3	on	on	ADP
ap-1674	224	4	similar	similar	ADJ
ap-1674	224	5	topics	topic	NOUN
ap-1674	224	6	,	,	PUNCT
ap-1674	224	7	real	real	ADV
ap-1674	224	8	-	-	PUNCT
ap-1674	224	9	shaped	shape	VERB
ap-1674	224	10	aggregate	aggregate	ADJ
ap-1674	224	11	particles	particle	NOUN
ap-1674	224	12	,	,	PUNCT
ap-1674	224	13	with	with	SCONJ
ap-1674	224	14	the	the	DET
ap-1674	224	15	geometrical	geometrical	ADJ
ap-1674	224	16	representation	representation	NOUN
ap-1674	224	17	based	base	VERB
ap-1674	224	18	on	on	ADP
ap-1674	224	19	spherical	spherical	ADJ
ap-1674	224	20	harmonic	harmonic	ADJ
ap-1674	224	21	expansion	expansion	NOUN
ap-1674	224	22	have	have	AUX
ap-1674	224	23	been	be	AUX
ap-1674	224	24	considered	consider	VERB
ap-1674	224	25	.	.	PUNCT
ap-1674	225	1	the	the	DET
ap-1674	225	2	microstructure	microstructure	NOUN
ap-1674	225	3	that	that	PRON
ap-1674	225	4	was	be	AUX
ap-1674	225	5	produced	produce	VERB
ap-1674	225	6	is	be	AUX
ap-1674	225	7	used	use	VERB
ap-1674	225	8	for	for	ADP
ap-1674	225	9	assessing	assess	VERB
ap-1674	225	10	itz	itz	PROPN
ap-1674	225	11	percolation	percolation	NOUN
ap-1674	225	12	within	within	ADP
ap-1674	225	13	the	the	DET
ap-1674	225	14	representative	representative	ADJ
ap-1674	225	15	volume	volume	NOUN
ap-1674	225	16	,	,	PUNCT
ap-1674	225	17	using	use	VERB
ap-1674	225	18	the	the	DET
ap-1674	225	19	hard	hard	ADJ
ap-1674	225	20	core	core	NOUN
ap-1674	225	21	–	–	PUNCT
ap-1674	225	22	soft	soft	ADJ
ap-1674	225	23	shell	shell	NOUN
ap-1674	225	24	model	model	NOUN
ap-1674	225	25	.	.	PUNCT
ap-1674	226	1	the	the	DET
ap-1674	226	2	representative	representative	ADJ
ap-1674	226	3	volume	volume	NOUN
ap-1674	226	4	is	be	AUX
ap-1674	226	5	built	build	VERB
ap-1674	226	6	using	use	VERB
ap-1674	226	7	a	a	DET
ap-1674	226	8	simple	simple	ADJ
ap-1674	226	9	two	two	NUM
ap-1674	226	10	-	-	PUNCT
ap-1674	226	11	phase	phase	NOUN
ap-1674	226	12	randomized	randomize	VERB
ap-1674	226	13	particle	particle	NOUN
ap-1674	226	14	packing	packing	NOUN
ap-1674	226	15	procedure	procedure	NOUN
ap-1674	226	16	.	.	PUNCT
ap-1674	227	1	in	in	ADP
ap-1674	227	2	the	the	DET
ap-1674	227	3	first	first	ADJ
ap-1674	227	4	phase	phase	NOUN
ap-1674	227	5	,	,	PUNCT
ap-1674	227	6	the	the	DET
ap-1674	227	7	particles	particle	NOUN
ap-1674	227	8	are	be	AUX
ap-1674	227	9	taken	take	VERB
ap-1674	227	10	from	from	ADP
ap-1674	227	11	the	the	DET
ap-1674	227	12	container	container	NOUN
ap-1674	227	13	of	of	ADP
ap-1674	227	14	representative	representative	ADJ
ap-1674	227	15	aggregate	aggregate	ADJ
ap-1674	227	16	particle	particle	NOUN
ap-1674	227	17	shapes	shape	NOUN
ap-1674	227	18	,	,	PUNCT
ap-1674	227	19	and	and	CCONJ
ap-1674	227	20	are	be	AUX
ap-1674	227	21	randomly	randomly	ADV
ap-1674	227	22	placed	place	VERB
ap-1674	227	23	into	into	ADP
ap-1674	227	24	the	the	DET
ap-1674	227	25	representative	representative	ADJ
ap-1674	227	26	volume	volume	NOUN
ap-1674	227	27	.	.	PUNCT
ap-1674	228	1	in	in	ADP
ap-1674	228	2	the	the	DET
ap-1674	228	3	second	second	ADJ
ap-1674	228	4	phase	phase	NOUN
ap-1674	228	5	,	,	PUNCT
ap-1674	228	6	the	the	DET
ap-1674	228	7	particles	particle	NOUN
ap-1674	228	8	are	be	AUX
ap-1674	228	9	scaled	scale	VERB
ap-1674	228	10	and	and	CCONJ
ap-1674	228	11	shifted	shift	VERB
ap-1674	228	12	until	until	SCONJ
ap-1674	228	13	they	they	PRON
ap-1674	228	14	come	come	VERB
ap-1674	228	15	into	into	ADP
ap-1674	228	16	mutual	mutual	ADJ
ap-1674	228	17	contact	contact	NOUN
ap-1674	228	18	(	(	PUNCT
ap-1674	228	19	within	within	ADP
ap-1674	228	20	the	the	DET
ap-1674	228	21	tolerance	tolerance	NOUN
ap-1674	228	22	given	give	VERB
ap-1674	228	23	by	by	ADP
ap-1674	228	24	thickness	thickness	NOUN
ap-1674	228	25	of	of	ADP
ap-1674	228	26	itz	itz	PROPN
ap-1674	228	27	)	)	PUNCT
ap-1674	228	28	.	.	PUNCT
ap-1674	229	1	to	to	PART
ap-1674	229	2	make	make	VERB
ap-1674	229	3	the	the	DET
ap-1674	229	4	investigation	investigation	NOUN
ap-1674	229	5	of	of	ADP
ap-1674	229	6	the	the	DET
ap-1674	229	7	particle	particle	NOUN
ap-1674	229	8	contacts	contact	NOUN
ap-1674	229	9	more	more	ADV
ap-1674	229	10	efficient	efficient	ADJ
ap-1674	229	11	,	,	PUNCT
ap-1674	229	12	the	the	DET
ap-1674	229	13	individual	individual	ADJ
ap-1674	229	14	particles	particle	NOUN
ap-1674	229	15	are	be	AUX
ap-1674	229	16	approximated	approximate	VERB
ap-1674	229	17	by	by	ADP
ap-1674	229	18	a	a	DET
ap-1674	229	19	refined	refined	ADJ
ap-1674	229	20	bounding	bounding	NOUN
ap-1674	229	21	box	box	NOUN
ap-1674	229	22	composed	compose	VERB
ap-1674	229	23	of	of	ADP
ap-1674	229	24	a	a	DET
ap-1674	229	25	set	set	NOUN
ap-1674	229	26	of	of	ADP
ap-1674	229	27	spheres	sphere	NOUN
ap-1674	229	28	of	of	ADP
ap-1674	229	29	variable	variable	ADJ
ap-1674	229	30	radius	radius	NOUN
ap-1674	229	31	.	.	PUNCT
ap-1674	230	1	if	if	SCONJ
ap-1674	230	2	the	the	DET
ap-1674	230	3	contact	contact	NOUN
ap-1674	230	4	can	can	AUX
ap-1674	230	5	not	not	PART
ap-1674	230	6	be	be	AUX
ap-1674	230	7	reliably	reliably	ADV
ap-1674	230	8	assessed	assess	VERB
ap-1674	230	9	using	use	VERB
ap-1674	230	10	the	the	DET
ap-1674	230	11	refined	refined	ADJ
ap-1674	230	12	bounding	bounding	NOUN
ap-1674	230	13	box	box	NOUN
ap-1674	230	14	,	,	PUNCT
ap-1674	230	15	the	the	DET
ap-1674	230	16	real	real	ADJ
ap-1674	230	17	geometry	geometry	NOUN
ap-1674	230	18	of	of	ADP
ap-1674	230	19	the	the	DET
ap-1674	230	20	investigated	investigate	VERB
ap-1674	230	21	particles	particle	NOUN
ap-1674	230	22	is	be	AUX
ap-1674	230	23	considered	consider	VERB
ap-1674	230	24	.	.	PUNCT
ap-1674	231	1	the	the	DET
ap-1674	231	2	contacts	contact	NOUN
ap-1674	231	3	are	be	AUX
ap-1674	231	4	used	use	VERB
ap-1674	231	5	to	to	PART
ap-1674	231	6	set	set	VERB
ap-1674	231	7	up	up	ADP
ap-1674	231	8	the	the	DET
ap-1674	231	9	connectivity	connectivity	NOUN
ap-1674	231	10	of	of	ADP
ap-1674	231	11	the	the	DET
ap-1674	231	12	aggregate	aggregate	ADJ
ap-1674	231	13	particles	particle	NOUN
ap-1674	231	14	,	,	PUNCT
ap-1674	231	15	which	which	PRON
ap-1674	231	16	is	be	AUX
ap-1674	231	17	then	then	ADV
ap-1674	231	18	used	use	VERB
ap-1674	231	19	to	to	PART
ap-1674	231	20	verify	verify	VERB
ap-1674	231	21	whether	whether	SCONJ
ap-1674	231	22	itz	itz	PROPN
ap-1674	231	23	percolation	percolation	NOUN
ap-1674	231	24	occurs	occur	VERB
ap-1674	231	25	.	.	PUNCT
ap-1674	232	1	in	in	ADP
ap-1674	232	2	order	order	NOUN
ap-1674	232	3	to	to	PART
ap-1674	232	4	estimate	estimate	VERB
ap-1674	232	5	the	the	DET
ap-1674	232	6	itz	itz	PROPN
ap-1674	232	7	percolation	percolation	NOUN
ap-1674	232	8	threshold	threshold	NOUN
ap-1674	232	9	,	,	PUNCT
ap-1674	232	10	given	give	VERB
ap-1674	232	11	in	in	ADP
ap-1674	232	12	terms	term	NOUN
ap-1674	232	13	of	of	ADP
ap-1674	232	14	the	the	DET
ap-1674	232	15	aggregate	aggregate	ADJ
ap-1674	232	16	volume	volume	NOUN
ap-1674	232	17	fraction	fraction	NOUN
ap-1674	232	18	of	of	ADP
ap-1674	232	19	the	the	DET
ap-1674	232	20	total	total	ADJ
ap-1674	232	21	representative	representative	ADJ
ap-1674	232	22	volume	volume	NOUN
ap-1674	232	23	,	,	PUNCT
ap-1674	232	24	a	a	DET
ap-1674	232	25	large	large	ADJ
ap-1674	232	26	number	number	NOUN
ap-1674	232	27	of	of	ADP
ap-1674	232	28	simulations	simulation	NOUN
ap-1674	232	29	have	have	VERB
ap-1674	232	30	to	to	PART
ap-1674	232	31	be	be	AUX
ap-1674	232	32	performed	perform	VERB
ap-1674	232	33	.	.	PUNCT
ap-1674	233	1	those	those	PRON
ap-1674	233	2	that	that	PRON
ap-1674	233	3	are	be	AUX
ap-1674	233	4	close	close	ADJ
ap-1674	233	5	to	to	ADP
ap-1674	233	6	the	the	DET
ap-1674	233	7	state	state	NOUN
ap-1674	233	8	at	at	ADP
ap-1674	233	9	which	which	PRON
ap-1674	233	10	itz	itz	PROPN
ap-1674	233	11	percolation	percolation	NOUN
ap-1674	233	12	just	just	ADV
ap-1674	233	13	occurs	occur	VERB
ap-1674	233	14	are	be	AUX
ap-1674	233	15	then	then	ADV
ap-1674	233	16	taken	take	VERB
ap-1674	233	17	into	into	ADP
ap-1674	233	18	consideration	consideration	NOUN
ap-1674	233	19	.	.	PUNCT
ap-1674	234	1	however	however	ADV
ap-1674	234	2	,	,	PUNCT
ap-1674	234	3	this	this	PRON
ap-1674	234	4	is	be	AUX
ap-1674	234	5	a	a	DET
ap-1674	234	6	subject	subject	NOUN
ap-1674	234	7	for	for	ADP
ap-1674	234	8	future	future	ADJ
ap-1674	234	9	work	work	NOUN
ap-1674	234	10	.	.	PUNCT
ap-1674	235	1	future	future	ADJ
ap-1674	235	2	research	research	NOUN
ap-1674	235	3	will	will	AUX
ap-1674	235	4	also	also	ADV
ap-1674	235	5	focus	focus	VERB
ap-1674	235	6	on	on	ADP
ap-1674	235	7	alternative	alternative	ADJ
ap-1674	235	8	packing	packing	NOUN
ap-1674	235	9	procedures	procedure	NOUN
ap-1674	235	10	that	that	PRON
ap-1674	235	11	enable	enable	VERB
ap-1674	235	12	higher	high	ADJ
ap-1674	235	13	aggregate	aggregate	ADJ
ap-1674	235	14	volumetric	volumetric	NOUN
ap-1674	235	15	content	content	NOUN
ap-1674	235	16	values	value	NOUN
ap-1674	235	17	to	to	PART
ap-1674	235	18	be	be	AUX
ap-1674	235	19	reached	reach	VERB
ap-1674	235	20	.	.	PUNCT
ap-1674	236	1	acknowledgements	acknowledgement	NOUN
ap-1674	236	2	this	this	DET
ap-1674	236	3	work	work	NOUN
ap-1674	236	4	was	be	AUX
ap-1674	236	5	supported	support	VERB
ap-1674	236	6	by	by	ADP
ap-1674	236	7	the	the	DET
ap-1674	236	8	ministry	ministry	PROPN
ap-1674	236	9	of	of	ADP
ap-1674	236	10	education	education	NOUN
ap-1674	236	11	of	of	ADP
ap-1674	236	12	the	the	DET
ap-1674	236	13	czech	czech	PROPN
ap-1674	236	14	republic	republic	NOUN
ap-1674	236	15	under	under	ADP
ap-1674	236	16	project	project	PROPN
ap-1674	236	17	no	no	NOUN
ap-1674	236	18	.	.	PUNCT
ap-1674	236	19	msm	msm	NOUN
ap-1674	236	20	6840770003	6840770003	NUM
ap-1674	236	21	.	.	PUNCT
ap-1674	237	1	its	its	PRON
ap-1674	237	2	financial	financial	ADJ
ap-1674	237	3	assistance	assistance	NOUN
ap-1674	237	4	is	be	AUX
ap-1674	237	5	gratefully	gratefully	ADV
ap-1674	237	6	acknowledged	acknowledge	VERB
ap-1674	237	7	.	.	PUNCT
ap-1674	238	1	45	45	NUM
ap-1674	238	2	acta	acta	PROPN
ap-1674	238	3	polytechnica	polytechnica	PROPN
ap-1674	238	4	vol	vol	NOUN
ap-1674	238	5	.	.	PROPN
ap-1674	239	1	52	52	NUM
ap-1674	239	2	no	no	NOUN
ap-1674	239	3	.	.	PUNCT
ap-1674	240	1	6/2012	6/2012	NUM
ap-1674	240	2	references	reference	NOUN
ap-1674	240	3	[	[	X
ap-1674	240	4	1	1	NUM
ap-1674	240	5	]	]	X
ap-1674	240	6	garboczi	garboczi	PROPN
ap-1674	240	7	,	,	PUNCT
ap-1674	240	8	e.j	e.j	PROPN
ap-1674	240	9	.	.	PROPN
ap-1674	240	10	,	,	PUNCT
ap-1674	240	11	bentz	bentz	PROPN
ap-1674	240	12	,	,	PUNCT
ap-1674	240	13	d.p	d.p	PROPN
ap-1674	240	14	.	.	PUNCT
ap-1674	240	15	:	:	PUNCT
ap-1674	240	16	computer	computer	NOUN
ap-1674	240	17	simulation	simulation	NOUN
ap-1674	240	18	and	and	CCONJ
ap-1674	240	19	percolation	percolation	NOUN
ap-1674	240	20	theory	theory	NOUN
ap-1674	240	21	applied	apply	VERB
ap-1674	240	22	to	to	ADP
ap-1674	240	23	concrete	concrete	ADJ
ap-1674	240	24	,	,	PUNCT
ap-1674	240	25	annual	annual	ADJ
ap-1674	240	26	reviews	review	NOUN
ap-1674	240	27	of	of	ADP
ap-1674	240	28	computational	computational	ADJ
ap-1674	240	29	physics	physics	NOUN
ap-1674	240	30	vii	vii	PROPN
ap-1674	240	31	,	,	PUNCT
ap-1674	240	32	d.	d.	PROPN
ap-1674	240	33	stauffer	stauffer	PROPN
ap-1674	240	34	(	(	PUNCT
ap-1674	240	35	ed	ed	NOUN
ap-1674	240	36	.	.	PUNCT
ap-1674	240	37	)	)	PUNCT
ap-1674	241	1	,	,	PUNCT
ap-1674	241	2	world	world	NOUN
ap-1674	241	3	scientific	scientific	ADJ
ap-1674	241	4	publishing	publishing	NOUN
ap-1674	241	5	company	company	NOUN
ap-1674	241	6	,	,	PUNCT
ap-1674	241	7	1999	1999	NUM
ap-1674	241	8	,	,	PUNCT
ap-1674	241	9	pp	pp	ADP
ap-1674	241	10	.	.	PUNCT
ap-1674	242	1	85–123	85–123	X
ap-1674	242	2	.	.	PUNCT
ap-1674	243	1	[	[	X
ap-1674	243	2	2	2	NUM
ap-1674	243	3	]	]	X
ap-1674	243	4	bentz	bentz	PROPN
ap-1674	243	5	,	,	PUNCT
ap-1674	243	6	d.p	d.p	PROPN
ap-1674	243	7	.	.	PROPN
ap-1674	243	8	,	,	PUNCT
ap-1674	243	9	garboczi	garboczi	PROPN
ap-1674	243	10	,	,	PUNCT
ap-1674	243	11	e.j	e.j	PROPN
ap-1674	243	12	.	.	PROPN
ap-1674	243	13	:	:	PUNCT
ap-1674	243	14	percolation	percolation	NOUN
ap-1674	243	15	of	of	ADP
ap-1674	243	16	phases	phase	NOUN
ap-1674	243	17	in	in	ADP
ap-1674	243	18	a	a	DET
ap-1674	243	19	three	three	NUM
ap-1674	243	20	-	-	PUNCT
ap-1674	243	21	dimensional	dimensional	ADJ
ap-1674	243	22	cement	cement	NOUN
ap-1674	243	23	paste	paste	NOUN
ap-1674	243	24	microstructure	microstructure	NOUN
ap-1674	243	25	model	model	NOUN
ap-1674	243	26	,	,	PUNCT
ap-1674	243	27	cement	cement	NOUN
ap-1674	243	28	and	and	CCONJ
ap-1674	243	29	concrete	concrete	ADJ
ap-1674	243	30	research	research	NOUN
ap-1674	243	31	,	,	PUNCT
ap-1674	243	32	21	21	NUM
ap-1674	243	33	,	,	PUNCT
ap-1674	243	34	1991	1991	NUM
ap-1674	243	35	,	,	PUNCT
ap-1674	243	36	pp	pp	ADV
ap-1674	243	37	.	.	PUNCT
ap-1674	244	1	325–344	325–344	NUM
ap-1674	244	2	.	.	PUNCT
ap-1674	245	1	[	[	X
ap-1674	245	2	3	3	NUM
ap-1674	245	3	]	]	X
ap-1674	245	4	bentz	bentz	PROPN
ap-1674	245	5	,	,	PUNCT
ap-1674	245	6	d.p	d.p	PROPN
ap-1674	245	7	.	.	PROPN
ap-1674	245	8	,	,	PUNCT
ap-1674	245	9	schlangen	schlangen	PROPN
ap-1674	245	10	,	,	PUNCT
ap-1674	245	11	e.	e.	PROPN
ap-1674	245	12	,	,	PUNCT
ap-1674	245	13	garboczi	garboczi	PROPN
ap-1674	245	14	,	,	PUNCT
ap-1674	245	15	e.j	e.j	PROPN
ap-1674	245	16	.	.	PROPN
ap-1674	245	17	:	:	PUNCT
ap-1674	245	18	computer	computer	NOUN
ap-1674	245	19	simulation	simulation	NOUN
ap-1674	245	20	of	of	ADP
ap-1674	245	21	interfacial	interfacial	ADJ
ap-1674	245	22	zone	zone	NOUN
ap-1674	245	23	microstructure	microstructure	NOUN
ap-1674	245	24	and	and	CCONJ
ap-1674	245	25	its	its	PRON
ap-1674	245	26	effect	effect	NOUN
ap-1674	245	27	on	on	ADP
ap-1674	245	28	the	the	DET
ap-1674	245	29	properties	property	NOUN
ap-1674	245	30	of	of	ADP
ap-1674	245	31	cementbased	cementbase	VERB
ap-1674	245	32	composites	composite	NOUN
ap-1674	245	33	,	,	PUNCT
ap-1674	245	34	in	in	ADP
ap-1674	245	35	material	material	ADJ
ap-1674	245	36	science	science	NOUN
ap-1674	245	37	of	of	ADP
ap-1674	245	38	concrete	concrete	ADJ
ap-1674	245	39	iv	iv	NUM
ap-1674	245	40	,	,	PUNCT
ap-1674	245	41	skalny	skalny	PROPN
ap-1674	245	42	,	,	PUNCT
ap-1674	245	43	j.p	j.p	PROPN
ap-1674	245	44	.	.	PROPN
ap-1674	245	45	et	et	PROPN
ap-1674	245	46	al	al	PROPN
ap-1674	245	47	.	.	PROPN
ap-1674	245	48	(	(	PUNCT
ap-1674	245	49	eds	ed	NOUN
ap-1674	245	50	)	)	PUNCT
ap-1674	245	51	,	,	PUNCT
ap-1674	245	52	journal	journal	NOUN
ap-1674	245	53	of	of	ADP
ap-1674	245	54	the	the	DET
ap-1674	245	55	american	american	PROPN
ap-1674	245	56	ceramic	ceramic	PROPN
ap-1674	245	57	society	society	NOUN
ap-1674	245	58	,	,	PUNCT
ap-1674	245	59	1995	1995	NUM
ap-1674	245	60	,	,	PUNCT
ap-1674	245	61	pp	pp	ADJ
ap-1674	245	62	.	.	PUNCT
ap-1674	246	1	155–199	155–199	NUM
ap-1674	246	2	.	.	PUNCT
ap-1674	247	1	[	[	X
ap-1674	247	2	4	4	NUM
ap-1674	247	3	]	]	X
ap-1674	247	4	garboczi	garboczi	PROPN
ap-1674	247	5	,	,	PUNCT
ap-1674	247	6	e.j	e.j	PROPN
ap-1674	247	7	.	.	PROPN
ap-1674	247	8	,	,	PUNCT
ap-1674	247	9	bentz	bentz	PROPN
ap-1674	247	10	,	,	PUNCT
ap-1674	247	11	d.p	d.p	PROPN
ap-1674	247	12	.	.	PUNCT
ap-1674	247	13	:	:	PUNCT
ap-1674	247	14	computer	computer	NOUN
ap-1674	247	15	simulation	simulation	NOUN
ap-1674	247	16	of	of	ADP
ap-1674	247	17	the	the	DET
ap-1674	247	18	diffusivity	diffusivity	NOUN
ap-1674	247	19	of	of	ADP
ap-1674	247	20	cement	cement	NOUN
ap-1674	247	21	-	-	PUNCT
ap-1674	247	22	based	base	VERB
ap-1674	247	23	materials	material	NOUN
ap-1674	247	24	,	,	PUNCT
ap-1674	247	25	journal	journal	NOUN
ap-1674	247	26	of	of	ADP
ap-1674	247	27	materials	material	NOUN
ap-1674	247	28	science	science	NOUN
ap-1674	247	29	,	,	PUNCT
ap-1674	247	30	27	27	NUM
ap-1674	247	31	,	,	PUNCT
ap-1674	247	32	1992	1992	NUM
ap-1674	247	33	,	,	PUNCT
ap-1674	247	34	pp	pp	ADJ
ap-1674	247	35	.	.	PUNCT
ap-1674	247	36	2083	2083	NUM
ap-1674	247	37	–	–	PUNCT
ap-1674	247	38	2092	2092	NUM
ap-1674	247	39	.	.	PUNCT
ap-1674	248	1	[	[	X
ap-1674	248	2	5	5	NUM
ap-1674	248	3	]	]	X
ap-1674	248	4	shane	shane	NOUN
ap-1674	248	5	,	,	PUNCT
ap-1674	248	6	j.d	j.d	PROPN
ap-1674	248	7	.	.	PROPN
ap-1674	248	8	,	,	PUNCT
ap-1674	248	9	mason	mason	PROPN
ap-1674	248	10	,	,	PUNCT
ap-1674	248	11	t.o	t.o	PROPN
ap-1674	248	12	.	.	PROPN
ap-1674	248	13	,	,	PUNCT
ap-1674	248	14	jennings	jennings	PROPN
ap-1674	248	15	,	,	PUNCT
ap-1674	248	16	h.m	h.m	PROPN
ap-1674	248	17	.	.	PROPN
ap-1674	248	18	,	,	PUNCT
ap-1674	248	19	garboczi	garboczi	PROPN
ap-1674	248	20	,	,	PUNCT
ap-1674	248	21	e.j	e.j	PROPN
ap-1674	248	22	.	.	PROPN
ap-1674	248	23	,	,	PUNCT
ap-1674	248	24	bentz	bentz	PROPN
ap-1674	248	25	,	,	PUNCT
ap-1674	248	26	d.p	d.p	PROPN
ap-1674	248	27	.	.	PUNCT
ap-1674	248	28	:	:	PUNCT
ap-1674	248	29	effect	effect	NOUN
ap-1674	248	30	of	of	ADP
ap-1674	248	31	the	the	DET
ap-1674	248	32	interfacial	interfacial	ADJ
ap-1674	248	33	transition	transition	NOUN
ap-1674	248	34	zone	zone	NOUN
ap-1674	248	35	on	on	ADP
ap-1674	248	36	the	the	DET
ap-1674	248	37	conductivity	conductivity	NOUN
ap-1674	248	38	of	of	ADP
ap-1674	248	39	portland	portland	PROPN
ap-1674	248	40	cement	cement	NOUN
ap-1674	248	41	mortars	mortar	NOUN
ap-1674	248	42	,	,	PUNCT
ap-1674	248	43	journal	journal	NOUN
ap-1674	248	44	of	of	ADP
ap-1674	248	45	the	the	DET
ap-1674	248	46	american	american	PROPN
ap-1674	248	47	ceramic	ceramic	PROPN
ap-1674	248	48	society	society	NOUN
ap-1674	248	49	,	,	PUNCT
ap-1674	248	50	83	83	NUM
ap-1674	248	51	,	,	PUNCT
ap-1674	248	52	2000	2000	NUM
ap-1674	248	53	,	,	PUNCT
ap-1674	248	54	pp	pp	ADJ
ap-1674	248	55	.	.	PUNCT
ap-1674	249	1	1137–1144	1137–1144	NUM
ap-1674	249	2	.	.	PUNCT
ap-1674	250	1	[	[	X
ap-1674	250	2	6	6	NUM
ap-1674	250	3	]	]	PUNCT
ap-1674	250	4	maso	maso	NOUN
ap-1674	250	5	,	,	PUNCT
ap-1674	250	6	j.c	j.c	PROPN
ap-1674	250	7	.	.	PROPN
ap-1674	250	8	:	:	PUNCT
ap-1674	251	1	the	the	DET
ap-1674	251	2	bond	bond	NOUN
ap-1674	251	3	between	between	ADP
ap-1674	251	4	aggregates	aggregate	NOUN
ap-1674	251	5	and	and	CCONJ
ap-1674	251	6	hydrated	hydrated	ADJ
ap-1674	251	7	cement	cement	NOUN
ap-1674	251	8	paste	paste	NOUN
ap-1674	251	9	,	,	PUNCT
ap-1674	251	10	in	in	ADP
ap-1674	251	11	proceedings	proceeding	NOUN
ap-1674	251	12	of	of	ADP
ap-1674	251	13	the	the	DET
ap-1674	251	14	7th	7th	ADJ
ap-1674	251	15	international	international	ADJ
ap-1674	251	16	congress	congress	PROPN
ap-1674	251	17	on	on	ADP
ap-1674	251	18	the	the	DET
ap-1674	251	19	chemistry	chemistry	NOUN
ap-1674	251	20	of	of	ADP
ap-1674	251	21	cement	cement	NOUN
ap-1674	251	22	i	i	PROPN
ap-1674	251	23	,	,	PUNCT
ap-1674	251	24	vii-1/3	vii-1/3	PROPN
ap-1674	251	25	,	,	PUNCT
ap-1674	251	26	1980	1980	NUM
ap-1674	251	27	.	.	PUNCT
ap-1674	252	1	[	[	X
ap-1674	252	2	7	7	NUM
ap-1674	252	3	]	]	X
ap-1674	252	4	garboczi	garboczi	PROPN
ap-1674	252	5	,	,	PUNCT
ap-1674	252	6	e.j	e.j	PROPN
ap-1674	252	7	.	.	PROPN
ap-1674	252	8	,	,	PUNCT
ap-1674	252	9	bentz	bentz	PROPN
ap-1674	252	10	,	,	PUNCT
ap-1674	252	11	d.p	d.p	PROPN
ap-1674	252	12	.	.	PROPN
ap-1674	252	13	:	:	PUNCT
ap-1674	253	1	digital	digital	PROPN
ap-1674	253	2	simulation	simulation	NOUN
ap-1674	253	3	of	of	ADP
ap-1674	253	4	the	the	DET
ap-1674	253	5	aggregate	aggregate	ADJ
ap-1674	253	6	-	-	PUNCT
ap-1674	253	7	cement	cement	NOUN
ap-1674	253	8	paste	paste	NOUN
ap-1674	253	9	interfacial	interfacial	ADJ
ap-1674	253	10	zone	zone	NOUN
ap-1674	253	11	in	in	ADP
ap-1674	253	12	concrete	concrete	ADJ
ap-1674	253	13	,	,	PUNCT
ap-1674	253	14	journal	journal	NOUN
ap-1674	253	15	of	of	ADP
ap-1674	253	16	materials	material	NOUN
ap-1674	253	17	research	research	NOUN
ap-1674	253	18	,	,	PUNCT
ap-1674	253	19	6	6	NUM
ap-1674	253	20	,	,	PUNCT
ap-1674	253	21	1991	1991	NUM
ap-1674	253	22	,	,	PUNCT
ap-1674	253	23	pp	pp	ADV
ap-1674	253	24	.	.	PUNCT
ap-1674	254	1	196–201	196–201	NUM
ap-1674	254	2	.	.	PUNCT
ap-1674	255	1	[	[	X
ap-1674	255	2	8	8	NUM
ap-1674	255	3	]	]	X
ap-1674	255	4	garboczi	garboczi	PROPN
ap-1674	255	5	,	,	PUNCT
ap-1674	255	6	e.j	e.j	PROPN
ap-1674	255	7	.	.	PROPN
ap-1674	255	8	:	:	PUNCT
ap-1674	255	9	finite	finite	PROPN
ap-1674	255	10	element	element	NOUN
ap-1674	255	11	and	and	CCONJ
ap-1674	255	12	finite	finite	ADJ
ap-1674	255	13	difference	difference	NOUN
ap-1674	255	14	programs	program	NOUN
ap-1674	255	15	for	for	ADP
ap-1674	255	16	computing	compute	VERB
ap-1674	255	17	the	the	DET
ap-1674	255	18	linear	linear	PROPN
ap-1674	255	19	electric	electric	ADJ
ap-1674	255	20	and	and	CCONJ
ap-1674	255	21	elastic	elastic	ADJ
ap-1674	255	22	properties	property	NOUN
ap-1674	255	23	of	of	ADP
ap-1674	255	24	digital	digital	ADJ
ap-1674	255	25	images	image	NOUN
ap-1674	255	26	of	of	ADP
ap-1674	255	27	random	random	ADJ
ap-1674	255	28	materials	material	NOUN
ap-1674	255	29	,	,	PUNCT
ap-1674	255	30	nist	nist	PROPN
ap-1674	255	31	internal	internal	ADJ
ap-1674	255	32	report	report	NOUN
ap-1674	255	33	6269	6269	NUM
ap-1674	255	34	,	,	PUNCT
ap-1674	255	35	1998	1998	NUM
ap-1674	255	36	.	.	PUNCT
ap-1674	256	1	[	[	X
ap-1674	256	2	9	9	NUM
ap-1674	256	3	]	]	X
ap-1674	256	4	jia	jia	PROPN
ap-1674	256	5	,	,	PUNCT
ap-1674	256	6	x.	x.	PROPN
ap-1674	256	7	,	,	PUNCT
ap-1674	256	8	williams	williams	PROPN
ap-1674	256	9	,	,	PUNCT
ap-1674	256	10	r.a	r.a	PROPN
ap-1674	256	11	.	.	PROPN
ap-1674	256	12	:	:	PUNCT
ap-1674	256	13	a	a	DET
ap-1674	256	14	packing	pack	VERB
ap-1674	256	15	algorithm	algorithm	NOUN
ap-1674	256	16	for	for	ADP
ap-1674	256	17	particles	particle	NOUN
ap-1674	256	18	of	of	ADP
ap-1674	256	19	arbitrary	arbitrary	ADJ
ap-1674	256	20	shapes	shape	NOUN
ap-1674	256	21	,	,	PUNCT
ap-1674	256	22	powder	powder	NOUN
ap-1674	256	23	technology	technology	NOUN
ap-1674	256	24	,	,	PUNCT
ap-1674	256	25	120	120	NUM
ap-1674	256	26	,	,	PUNCT
ap-1674	256	27	2001	2001	NUM
ap-1674	256	28	,	,	PUNCT
ap-1674	256	29	pp	pp	ADJ
ap-1674	256	30	.	.	PUNCT
ap-1674	257	1	175–186	175–186	NUM
ap-1674	257	2	.	.	PUNCT
ap-1674	258	1	[	[	X
ap-1674	258	2	10	10	NUM
ap-1674	258	3	]	]	SYM
ap-1674	258	4	tourquato	tourquato	PROPN
ap-1674	258	5	,	,	PUNCT
ap-1674	258	6	s.	s.	PROPN
ap-1674	258	7	:	:	PUNCT
ap-1674	258	8	two	two	NUM
ap-1674	258	9	-	-	PUNCT
ap-1674	258	10	point	point	NOUN
ap-1674	258	11	distribution	distribution	NOUN
ap-1674	258	12	function	function	NOUN
ap-1674	258	13	for	for	ADP
ap-1674	258	14	a	a	DET
ap-1674	258	15	dispersion	dispersion	NOUN
ap-1674	258	16	of	of	ADP
ap-1674	258	17	impenetrable	impenetrable	ADJ
ap-1674	258	18	spheres	sphere	NOUN
ap-1674	258	19	in	in	ADP
ap-1674	258	20	a	a	DET
ap-1674	258	21	matrix	matrix	NOUN
ap-1674	258	22	,	,	PUNCT
ap-1674	258	23	journal	journal	NOUN
ap-1674	258	24	of	of	ADP
ap-1674	258	25	chemical	chemical	PROPN
ap-1674	258	26	physics	physics	PROPN
ap-1674	258	27	,	,	PUNCT
ap-1674	258	28	85	85	NUM
ap-1674	258	29	,	,	PUNCT
ap-1674	258	30	1986	1986	NUM
ap-1674	258	31	,	,	PUNCT
ap-1674	258	32	pp	pp	ADV
ap-1674	258	33	.	.	PUNCT
ap-1674	259	1	6248–6249	6248–6249	X
ap-1674	259	2	.	.	PUNCT
ap-1674	260	1	[	[	X
ap-1674	260	2	11	11	NUM
ap-1674	260	3	]	]	X
ap-1674	260	4	lee	lee	PROPN
ap-1674	260	5	,	,	PUNCT
ap-1674	260	6	s.b	s.b	PROPN
ap-1674	260	7	.	.	PROPN
ap-1674	260	8	,	,	PUNCT
ap-1674	260	9	torquato	torquato	PROPN
ap-1674	260	10	,	,	PUNCT
ap-1674	260	11	s.	s.	PROPN
ap-1674	260	12	:	:	PUNCT
ap-1674	260	13	porosity	porosity	NOUN
ap-1674	260	14	for	for	ADP
ap-1674	260	15	the	the	DET
ap-1674	260	16	penetrable	penetrable	ADJ
ap-1674	260	17	-	-	PUNCT
ap-1674	260	18	concentric	concentric	ADJ
ap-1674	260	19	-	-	PUNCT
ap-1674	260	20	shell	shell	NOUN
ap-1674	260	21	model	model	NOUN
ap-1674	260	22	of	of	ADP
ap-1674	260	23	two	two	NUM
ap-1674	260	24	-	-	PUNCT
ap-1674	260	25	phase	phase	NOUN
ap-1674	260	26	disordered	disordered	ADJ
ap-1674	260	27	media	medium	NOUN
ap-1674	260	28	:	:	PUNCT
ap-1674	260	29	computer	computer	NOUN
ap-1674	260	30	simulation	simulation	NOUN
ap-1674	260	31	results	result	NOUN
ap-1674	260	32	,	,	PUNCT
ap-1674	260	33	journal	journal	NOUN
ap-1674	260	34	of	of	ADP
ap-1674	260	35	chemical	chemical	PROPN
ap-1674	260	36	physics	physics	PROPN
ap-1674	260	37	,	,	PUNCT
ap-1674	260	38	89	89	NUM
ap-1674	260	39	,	,	PUNCT
ap-1674	260	40	1988	1988	NUM
ap-1674	260	41	.	.	PUNCT
ap-1674	260	42	,	,	PUNCT
ap-1674	260	43	pp	pp	ADJ
ap-1674	260	44	.	.	PUNCT
ap-1674	261	1	3258	3258	NUM
ap-1674	261	2	–	–	PUNCT
ap-1674	261	3	3263	3263	NUM
ap-1674	261	4	[	[	X
ap-1674	261	5	12	12	NUM
ap-1674	261	6	]	]	X
ap-1674	261	7	bentz	bentz	PROPN
ap-1674	261	8	,	,	PUNCT
ap-1674	261	9	d.p	d.p	PROPN
ap-1674	261	10	.	.	PROPN
ap-1674	261	11	,	,	PUNCT
ap-1674	261	12	garboczi	garboczi	PROPN
ap-1674	261	13	,	,	PUNCT
ap-1674	261	14	e.j	e.j	PROPN
ap-1674	261	15	.	.	PROPN
ap-1674	261	16	,	,	PUNCT
ap-1674	261	17	stutzman	stutzman	NOUN
ap-1674	261	18	,	,	PUNCT
ap-1674	261	19	p.e	p.e	PROPN
ap-1674	261	20	.	.	PROPN
ap-1674	261	21	:	:	PUNCT
ap-1674	262	1	computer	computer	NOUN
ap-1674	262	2	modelling	modelling	NOUN
ap-1674	262	3	of	of	ADP
ap-1674	262	4	the	the	DET
ap-1674	262	5	interfacial	interfacial	ADJ
ap-1674	262	6	transition	transition	NOUN
ap-1674	262	7	zone	zone	NOUN
ap-1674	262	8	in	in	ADP
ap-1674	262	9	concrete	concrete	NOUN
ap-1674	262	10	,	,	PUNCT
ap-1674	262	11	in	in	ADP
ap-1674	262	12	interfaces	interface	NOUN
ap-1674	262	13	in	in	ADP
ap-1674	262	14	cementitious	cementitious	ADJ
ap-1674	262	15	composites	composite	NOUN
ap-1674	262	16	,	,	PUNCT
ap-1674	262	17	maso	maso	NOUN
ap-1674	262	18	,	,	PUNCT
ap-1674	262	19	j.c	j.c	PROPN
ap-1674	262	20	.	.	PROPN
ap-1674	262	21	et	et	PROPN
ap-1674	262	22	al	al	PROPN
ap-1674	262	23	.	.	PROPN
ap-1674	262	24	(	(	PUNCT
ap-1674	262	25	eds	ed	NOUN
ap-1674	262	26	)	)	PUNCT
ap-1674	262	27	,	,	PUNCT
ap-1674	262	28	1993	1993	NUM
ap-1674	262	29	,	,	PUNCT
ap-1674	262	30	pp	pp	ADJ
ap-1674	262	31	.	.	PUNCT
ap-1674	263	1	259–268	259–268	NUM
ap-1674	263	2	.	.	PUNCT
ap-1674	264	1	[	[	X
ap-1674	264	2	13	13	NUM
ap-1674	264	3	]	]	X
ap-1674	264	4	bentz	bentz	PROPN
ap-1674	264	5	,	,	PUNCT
ap-1674	264	6	d.p	d.p	PROPN
ap-1674	264	7	.	.	PROPN
ap-1674	264	8	,	,	PUNCT
ap-1674	264	9	hwang	hwang	PROPN
ap-1674	264	10	,	,	PUNCT
ap-1674	264	11	j.t.g	j.t.g	PROPN
ap-1674	264	12	.	.	PROPN
ap-1674	264	13	,	,	PUNCT
ap-1674	264	14	hagwood	hagwood	PROPN
ap-1674	264	15	,	,	PUNCT
ap-1674	264	16	c.	c.	PROPN
ap-1674	264	17	,	,	PUNCT
ap-1674	264	18	garboczi	garboczi	PROPN
ap-1674	264	19	,	,	PUNCT
ap-1674	264	20	e.j	e.j	PROPN
ap-1674	264	21	.	.	PROPN
ap-1674	264	22	,	,	PUNCT
ap-1674	264	23	snyder	snyder	PROPN
ap-1674	264	24	,	,	PUNCT
ap-1674	264	25	k.a	k.a	PROPN
ap-1674	264	26	.	.	PROPN
ap-1674	264	27	,	,	PUNCT
ap-1674	264	28	buenfeld	buenfeld	ADJ
ap-1674	264	29	,	,	PUNCT
ap-1674	264	30	n.	n.	NOUN
ap-1674	264	31	,	,	PUNCT
ap-1674	264	32	scrivener	scrivener	NOUN
ap-1674	264	33	,	,	PUNCT
ap-1674	264	34	k.l	k.l	PROPN
ap-1674	264	35	.	.	PROPN
ap-1674	264	36	:	:	PUNCT
ap-1674	264	37	interfacial	interfacial	ADJ
ap-1674	264	38	zone	zone	NOUN
ap-1674	264	39	percolation	percolation	NOUN
ap-1674	264	40	in	in	ADP
ap-1674	264	41	concrete	concrete	ADJ
ap-1674	264	42	:	:	PUNCT
ap-1674	264	43	effects	effect	NOUN
ap-1674	264	44	of	of	ADP
ap-1674	264	45	interfacial	interfacial	ADJ
ap-1674	264	46	thickness	thickness	NOUN
ap-1674	264	47	and	and	CCONJ
ap-1674	264	48	aggregate	aggregate	ADJ
ap-1674	264	49	shape	shape	NOUN
ap-1674	264	50	,	,	PUNCT
ap-1674	264	51	in	in	ADP
ap-1674	264	52	microstructure	microstructure	NOUN
ap-1674	264	53	of	of	ADP
ap-1674	264	54	cementbased	cementbase	VERB
ap-1674	264	55	system	system	NOUN
ap-1674	264	56	/	/	SYM
ap-1674	264	57	bonding	bonding	NOUN
ap-1674	264	58	and	and	CCONJ
ap-1674	264	59	interfaces	interface	NOUN
ap-1674	264	60	in	in	ADP
ap-1674	264	61	cementitious	cementitious	ADJ
ap-1674	264	62	materials	material	NOUN
ap-1674	264	63	,	,	PUNCT
ap-1674	264	64	diamond	diamond	NOUN
ap-1674	264	65	,	,	PUNCT
ap-1674	264	66	s.	s.	PROPN
ap-1674	264	67	et	et	PROPN
ap-1674	264	68	al	al	PROPN
ap-1674	264	69	.	.	PROPN
ap-1674	264	70	(	(	PUNCT
ap-1674	264	71	eds	ed	NOUN
ap-1674	264	72	)	)	PUNCT
ap-1674	264	73	,	,	PUNCT
ap-1674	264	74	material	material	NOUN
ap-1674	264	75	research	research	NOUN
ap-1674	264	76	society	society	NOUN
ap-1674	264	77	,	,	PUNCT
ap-1674	264	78	pittsburgh	pittsburgh	PROPN
ap-1674	264	79	,	,	PUNCT
ap-1674	264	80	1995	1995	NUM
ap-1674	264	81	,	,	PUNCT
ap-1674	264	82	pp	pp	ADJ
ap-1674	264	83	.	.	PUNCT
ap-1674	265	1	437–442	437–442	NUM
ap-1674	265	2	.	.	PUNCT
ap-1674	266	1	[	[	X
ap-1674	266	2	14	14	NUM
ap-1674	266	3	]	]	X
ap-1674	266	4	garboczi	garboczi	PROPN
ap-1674	266	5	,	,	PUNCT
ap-1674	266	6	e.j	e.j	PROPN
ap-1674	266	7	.	.	PROPN
ap-1674	266	8	:	:	PUNCT
ap-1674	266	9	three	three	NUM
ap-1674	266	10	-	-	PUNCT
ap-1674	266	11	dimensional	dimensional	ADJ
ap-1674	266	12	mathematical	mathematical	ADJ
ap-1674	266	13	analysis	analysis	NOUN
ap-1674	266	14	of	of	ADP
ap-1674	266	15	particle	particle	NOUN
ap-1674	266	16	shape	shape	NOUN
ap-1674	266	17	using	use	VERB
ap-1674	266	18	x	x	PROPN
ap-1674	266	19	-	-	NOUN
ap-1674	266	20	ray	ray	NOUN
ap-1674	266	21	tomography	tomography	NOUN
ap-1674	266	22	and	and	CCONJ
ap-1674	266	23	spherical	spherical	ADJ
ap-1674	266	24	harmonics	harmonic	NOUN
ap-1674	266	25	:	:	PUNCT
ap-1674	266	26	application	application	NOUN
ap-1674	266	27	to	to	PART
ap-1674	266	28	aggregate	aggregate	VERB
ap-1674	266	29	used	use	VERB
ap-1674	266	30	in	in	ADP
ap-1674	266	31	concrete	concrete	ADJ
ap-1674	266	32	,	,	PUNCT
ap-1674	266	33	cement	cement	NOUN
ap-1674	266	34	and	and	CCONJ
ap-1674	266	35	concrete	concrete	ADJ
ap-1674	266	36	research	research	NOUN
ap-1674	266	37	,	,	PUNCT
ap-1674	266	38	32	32	NUM
ap-1674	266	39	,	,	PUNCT
ap-1674	266	40	2002	2002	NUM
ap-1674	266	41	,	,	PUNCT
ap-1674	266	42	pp	pp	ADJ
ap-1674	266	43	.	.	PUNCT
ap-1674	266	44	1621–1638	1621–1638	NUM
ap-1674	266	45	.	.	PUNCT
ap-1674	267	1	[	[	X
ap-1674	267	2	15	15	NUM
ap-1674	267	3	]	]	X
ap-1674	267	4	berryman	berryman	PROPN
ap-1674	267	5	,	,	PUNCT
ap-1674	267	6	j.g	j.g	PROPN
ap-1674	267	7	.	.	PROPN
ap-1674	267	8	:	:	PUNCT
ap-1674	268	1	random	random	ADJ
ap-1674	268	2	close	close	ADJ
ap-1674	268	3	packing	packing	NOUN
ap-1674	268	4	of	of	ADP
ap-1674	268	5	hard	hard	ADJ
ap-1674	268	6	spheres	sphere	NOUN
ap-1674	268	7	and	and	CCONJ
ap-1674	268	8	disks	disk	NOUN
ap-1674	268	9	,	,	PUNCT
ap-1674	268	10	physical	physical	ADJ
ap-1674	268	11	review	review	NOUN
ap-1674	268	12	a	a	PRON
ap-1674	268	13	,	,	PUNCT
ap-1674	268	14	27	27	NUM
ap-1674	268	15	,	,	PUNCT
ap-1674	268	16	1983	1983	NUM
ap-1674	268	17	,	,	PUNCT
ap-1674	268	18	pp	pp	ADJ
ap-1674	268	19	.	.	PUNCT
ap-1674	269	1	1053–1061	1053–1061	NUM
ap-1674	269	2	.	.	PUNCT
ap-1674	270	1	[	[	X
ap-1674	270	2	16	16	NUM
ap-1674	270	3	]	]	PUNCT
ap-1674	270	4	salvat	salvat	NOUN
ap-1674	270	5	,	,	PUNCT
ap-1674	270	6	w.i	w.i	PROPN
ap-1674	270	7	.	.	PROPN
ap-1674	270	8	,	,	PUNCT
ap-1674	270	9	mariani	mariani	PROPN
ap-1674	270	10	,	,	PUNCT
ap-1674	270	11	n.j	n.j	PROPN
ap-1674	270	12	.	.	PROPN
ap-1674	270	13	,	,	PUNCT
ap-1674	270	14	barreto	barreto	PROPN
ap-1674	270	15	,	,	PUNCT
ap-1674	270	16	g.f	g.f	PROPN
ap-1674	270	17	.	.	PROPN
ap-1674	270	18	,	,	PUNCT
ap-1674	270	19	martínez	martínez	PROPN
ap-1674	270	20	,	,	PUNCT
ap-1674	270	21	o.m	o.m	PROPN
ap-1674	270	22	.	.	PUNCT
ap-1674	270	23	:	:	PUNCT
ap-1674	270	24	an	an	DET
ap-1674	270	25	algorithm	algorithm	NOUN
ap-1674	270	26	to	to	PART
ap-1674	270	27	simulate	simulate	VERB
ap-1674	270	28	packing	packing	NOUN
ap-1674	270	29	structure	structure	NOUN
ap-1674	270	30	in	in	ADP
ap-1674	270	31	cylindrical	cylindrical	ADJ
ap-1674	270	32	containers	container	NOUN
ap-1674	270	33	,	,	PUNCT
ap-1674	270	34	catalysis	catalysis	NOUN
ap-1674	270	35	today	today	NOUN
ap-1674	270	36	,	,	PUNCT
ap-1674	270	37	107–108	107–108	NUM
ap-1674	270	38	,	,	PUNCT
ap-1674	270	39	2005	2005	NUM
ap-1674	270	40	,	,	PUNCT
ap-1674	270	41	pp	pp	ADV
ap-1674	270	42	.	.	PUNCT
ap-1674	271	1	513–519	513–519	NUM
ap-1674	271	2	.	.	PUNCT
ap-1674	272	1	[	[	X
ap-1674	272	2	17	17	NUM
ap-1674	272	3	]	]	X
ap-1674	272	4	kristiansen	kristiansen	PROPN
ap-1674	272	5	,	,	PUNCT
ap-1674	272	6	k.l	k.l	PROPN
ap-1674	272	7	.	.	PROPN
ap-1674	272	8	,	,	PUNCT
ap-1674	272	9	wouterse	wouterse	PROPN
ap-1674	272	10	,	,	PUNCT
ap-1674	272	11	a.	a.	NOUN
ap-1674	272	12	,	,	PUNCT
ap-1674	272	13	philipse	philipse	NOUN
ap-1674	272	14	,	,	PUNCT
ap-1674	272	15	a.	a.	NOUN
ap-1674	272	16	:	:	PUNCT
ap-1674	272	17	simulation	simulation	NOUN
ap-1674	272	18	of	of	ADP
ap-1674	272	19	random	random	ADJ
ap-1674	272	20	packing	packing	NOUN
ap-1674	272	21	of	of	ADP
ap-1674	272	22	binary	binary	PROPN
ap-1674	272	23	sphere	sphere	NOUN
ap-1674	272	24	mixtures	mixture	NOUN
ap-1674	272	25	by	by	ADP
ap-1674	272	26	mechanical	mechanical	ADJ
ap-1674	272	27	contraction	contraction	NOUN
ap-1674	272	28	,	,	PUNCT
ap-1674	272	29	physica	physica	NOUN
ap-1674	272	30	a	a	PRON
ap-1674	272	31	,	,	PUNCT
ap-1674	272	32	358	358	NUM
ap-1674	272	33	,	,	PUNCT
ap-1674	272	34	2005	2005	NUM
ap-1674	272	35	,	,	PUNCT
ap-1674	272	36	pp	pp	ADV
ap-1674	272	37	.	.	PUNCT
ap-1674	273	1	249–261	249–261	NUM
ap-1674	273	2	.	.	PUNCT
ap-1674	274	1	[	[	X
ap-1674	274	2	18	18	NUM
ap-1674	274	3	]	]	X
ap-1674	274	4	knott	knott	PROPN
ap-1674	274	5	,	,	PUNCT
ap-1674	274	6	g.m	g.m	PROPN
ap-1674	274	7	.	.	PROPN
ap-1674	274	8	,	,	PUNCT
ap-1674	274	9	jackson	jackson	PROPN
ap-1674	274	10	,	,	PUNCT
ap-1674	274	11	t.l	t.l	PROPN
ap-1674	274	12	.	.	PROPN
ap-1674	274	13	,	,	PUNCT
ap-1674	274	14	buckmaster	buckmaster	PROPN
ap-1674	274	15	,	,	PUNCT
ap-1674	274	16	j.	j.	PROPN
ap-1674	274	17	:	:	PUNCT
ap-1674	274	18	the	the	DET
ap-1674	274	19	random	random	ADJ
ap-1674	274	20	packing	packing	NOUN
ap-1674	274	21	of	of	ADP
ap-1674	274	22	heterogeneous	heterogeneous	ADJ
ap-1674	274	23	propellants	propellant	NOUN
ap-1674	274	24	,	,	PUNCT
ap-1674	274	25	aiaa	aiaa	ADJ
ap-1674	274	26	journal	journal	PROPN
ap-1674	274	27	,	,	PUNCT
ap-1674	274	28	39	39	NUM
ap-1674	274	29	,	,	PUNCT
ap-1674	274	30	4	4	NUM
ap-1674	274	31	,	,	PUNCT
ap-1674	274	32	2001	2001	NUM
ap-1674	274	33	,	,	PUNCT
ap-1674	274	34	pp	pp	ADJ
ap-1674	274	35	.	.	PUNCT
ap-1674	275	1	678–686	678–686	NUM
ap-1674	275	2	.	.	PUNCT
ap-1674	276	1	[	[	X
ap-1674	276	2	19	19	NUM
ap-1674	276	3	]	]	X
ap-1674	276	4	lo	lo	PROPN
ap-1674	276	5	,	,	PUNCT
ap-1674	276	6	s.h	s.h	PROPN
ap-1674	276	7	.	.	PROPN
ap-1674	276	8	,	,	PUNCT
ap-1674	276	9	wang	wang	PROPN
ap-1674	276	10	,	,	PUNCT
ap-1674	276	11	w.x	w.x	PROPN
ap-1674	276	12	.	.	PROPN
ap-1674	276	13	:	:	PUNCT
ap-1674	276	14	generation	generation	NOUN
ap-1674	276	15	of	of	ADP
ap-1674	276	16	tetrahedral	tetrahedral	ADJ
ap-1674	276	17	mesh	mesh	NOUN
ap-1674	276	18	of	of	ADP
ap-1674	276	19	variable	variable	ADJ
ap-1674	276	20	element	element	NOUN
ap-1674	276	21	size	size	NOUN
ap-1674	276	22	by	by	ADP
ap-1674	276	23	sphere	sphere	NOUN
ap-1674	276	24	packing	pack	VERB
ap-1674	276	25	over	over	ADP
ap-1674	276	26	an	an	DET
ap-1674	276	27	unbounded	unbounded	ADJ
ap-1674	276	28	3d	3d	NOUN
ap-1674	276	29	domain	domain	NOUN
ap-1674	276	30	,	,	PUNCT
ap-1674	276	31	computer	computer	NOUN
ap-1674	276	32	methods	method	NOUN
ap-1674	276	33	in	in	ADP
ap-1674	276	34	applied	applied	ADJ
ap-1674	276	35	mechanics	mechanic	NOUN
ap-1674	276	36	and	and	CCONJ
ap-1674	276	37	engineering	engineering	NOUN
ap-1674	276	38	,	,	PUNCT
ap-1674	276	39	194	194	NUM
ap-1674	276	40	,	,	PUNCT
ap-1674	276	41	2005	2005	NUM
ap-1674	276	42	,	,	PUNCT
ap-1674	276	43	pp	pp	ADJ
ap-1674	276	44	.	.	PUNCT
ap-1674	277	1	5005–5018	5005–5018	NUM
ap-1674	277	2	.	.	PUNCT
ap-1674	278	1	[	[	X
ap-1674	278	2	20	20	NUM
ap-1674	278	3	]	]	SYM
ap-1674	278	4	han	han	PROPN
ap-1674	278	5	,	,	PUNCT
ap-1674	278	6	k.	k.	PROPN
ap-1674	278	7	,	,	PUNCT
ap-1674	278	8	feng	feng	PROPN
ap-1674	278	9	,	,	PUNCT
ap-1674	278	10	y.t	y.t	PROPN
ap-1674	278	11	.	.	PROPN
ap-1674	278	12	,	,	PUNCT
ap-1674	278	13	owen	owen	PROPN
ap-1674	278	14	,	,	PUNCT
ap-1674	278	15	d.r.j	d.r.j	PROPN
ap-1674	278	16	.	.	PUNCT
ap-1674	278	17	:	:	PUNCT
ap-1674	279	1	sphere	sphere	NOUN
ap-1674	279	2	packing	pack	VERB
ap-1674	279	3	with	with	ADP
ap-1674	279	4	a	a	DET
ap-1674	279	5	geometric	geometric	ADJ
ap-1674	279	6	based	base	VERB
ap-1674	279	7	compression	compression	NOUN
ap-1674	279	8	algorithm	algorithm	NOUN
ap-1674	279	9	,	,	PUNCT
ap-1674	279	10	powder	powder	NOUN
ap-1674	279	11	technology	technology	NOUN
ap-1674	279	12	,	,	PUNCT
ap-1674	279	13	155	155	NUM
ap-1674	279	14	,	,	PUNCT
ap-1674	279	15	1	1	NUM
ap-1674	279	16	,	,	PUNCT
ap-1674	279	17	2005	2005	NUM
ap-1674	279	18	,	,	PUNCT
ap-1674	279	19	pp	pp	ADV
ap-1674	279	20	.	.	PUNCT
ap-1674	280	1	33–41	33–41	NUM
ap-1674	280	2	.	.	PUNCT
ap-1674	281	1	[	[	X
ap-1674	281	2	21	21	NUM
ap-1674	281	3	]	]	PUNCT
ap-1674	281	4	bažant	bažant	NOUN
ap-1674	281	5	,	,	PUNCT
ap-1674	281	6	z.p	z.p	PROPN
ap-1674	281	7	.	.	PROPN
ap-1674	281	8	,	,	PUNCT
ap-1674	281	9	tabbara	tabbara	PROPN
ap-1674	281	10	,	,	PUNCT
ap-1674	281	11	m.r	m.r	PROPN
ap-1674	281	12	.	.	PROPN
ap-1674	281	13	,	,	PUNCT
ap-1674	281	14	kazemi	kazemi	PROPN
ap-1674	281	15	,	,	PUNCT
ap-1674	281	16	m.t	m.t	PROPN
ap-1674	281	17	.	.	PROPN
ap-1674	281	18	,	,	PUNCT
ap-1674	281	19	pijaudier	pijaudier	NOUN
ap-1674	281	20	-	-	PUNCT
ap-1674	281	21	cabot	cabot	PROPN
ap-1674	281	22	,	,	PUNCT
ap-1674	281	23	g.	g.	NOUN
ap-1674	281	24	:	:	PUNCT
ap-1674	281	25	random	random	ADJ
ap-1674	281	26	particle	particle	NOUN
ap-1674	281	27	model	model	NOUN
ap-1674	281	28	for	for	ADP
ap-1674	281	29	fracture	fracture	NOUN
ap-1674	281	30	of	of	ADP
ap-1674	281	31	aggregate	aggregate	NOUN
ap-1674	281	32	of	of	ADP
ap-1674	281	33	fiber	fiber	NOUN
ap-1674	281	34	composite	composite	NOUN
ap-1674	281	35	,	,	PUNCT
ap-1674	281	36	journal	journal	NOUN
ap-1674	281	37	of	of	ADP
ap-1674	281	38	engineering	engineering	NOUN
ap-1674	281	39	mechanics	mechanic	NOUN
ap-1674	281	40	asce	asce	NOUN
ap-1674	281	41	,	,	PUNCT
ap-1674	281	42	116	116	NUM
ap-1674	281	43	,	,	PUNCT
ap-1674	281	44	8	8	NUM
ap-1674	281	45	,	,	PUNCT
ap-1674	281	46	1990	1990	NUM
ap-1674	281	47	,	,	PUNCT
ap-1674	281	48	pp	pp	ADJ
ap-1674	281	49	.	.	PUNCT
ap-1674	282	1	1686–1705	1686–1705	NUM
ap-1674	282	2	.	.	PUNCT
ap-1674	283	1	[	[	X
ap-1674	283	2	22	22	NUM
ap-1674	283	3	]	]	X
ap-1674	283	4	wang	wang	PROPN
ap-1674	283	5	,	,	PUNCT
ap-1674	283	6	z.m	z.m	PROPN
ap-1674	283	7	.	.	PROPN
ap-1674	283	8	,	,	PUNCT
ap-1674	283	9	kwan	kwan	PROPN
ap-1674	283	10	,	,	PUNCT
ap-1674	283	11	a.h.k	a.h.k	PROPN
ap-1674	283	12	.	.	PROPN
ap-1674	283	13	,	,	PUNCT
ap-1674	283	14	chan	chan	PROPN
ap-1674	283	15	,	,	PUNCT
ap-1674	283	16	h.c	h.c	PROPN
ap-1674	283	17	.	.	PUNCT
ap-1674	283	18	:	:	PUNCT
ap-1674	283	19	mesoscopic	mesoscopic	NOUN
ap-1674	283	20	study	study	NOUN
ap-1674	283	21	of	of	ADP
ap-1674	283	22	concrete	concrete	ADJ
ap-1674	283	23	i	i	NOUN
ap-1674	283	24	:	:	PUNCT
ap-1674	283	25	generation	generation	NOUN
ap-1674	283	26	of	of	ADP
ap-1674	283	27	random	random	ADJ
ap-1674	283	28	aggregate	aggregate	ADJ
ap-1674	283	29	structure	structure	NOUN
ap-1674	283	30	and	and	CCONJ
ap-1674	283	31	finite	finite	ADJ
ap-1674	283	32	element	element	NOUN
ap-1674	283	33	mesh	mesh	NOUN
ap-1674	283	34	,	,	PUNCT
ap-1674	283	35	computers	computer	NOUN
ap-1674	283	36	and	and	CCONJ
ap-1674	283	37	structures	structure	NOUN
ap-1674	283	38	,	,	PUNCT
ap-1674	283	39	70	70	NUM
ap-1674	283	40	,	,	PUNCT
ap-1674	283	41	5	5	NUM
ap-1674	283	42	,	,	PUNCT
ap-1674	283	43	1999	1999	NUM
ap-1674	283	44	,	,	PUNCT
ap-1674	283	45	pp	pp	ADV
ap-1674	283	46	.	.	PUNCT
ap-1674	284	1	533	533	NUM
ap-1674	284	2	–	–	PUNCT
ap-1674	284	3	544	544	NUM
ap-1674	284	4	.	.	NUM
ap-1674	284	5	46	46	NUM
ap-1674	284	6	acta	acta	PROPN
ap-1674	284	7	polytechnica	polytechnica	PROPN
ap-1674	284	8	vol	vol	NOUN
ap-1674	284	9	.	.	PROPN
ap-1674	285	1	52	52	NUM
ap-1674	285	2	no	no	NOUN
ap-1674	285	3	.	.	PUNCT
ap-1674	286	1	6/2012	6/2012	NUM
ap-1674	287	1	[	[	X
ap-1674	287	2	23	23	NUM
ap-1674	287	3	]	]	SYM
ap-1674	287	4	koenke	koenke	PROPN
ap-1674	287	5	,	,	PUNCT
ap-1674	287	6	c.	c.	NOUN
ap-1674	287	7	,	,	PUNCT
ap-1674	287	8	eckardt	eckardt	NOUN
ap-1674	287	9	,	,	PUNCT
ap-1674	287	10	s.	s.	PROPN
ap-1674	287	11	,	,	PUNCT
ap-1674	287	12	haefner	haefner	PROPN
ap-1674	287	13	,	,	PUNCT
ap-1674	287	14	s.	s.	PROPN
ap-1674	287	15	:	:	PUNCT
ap-1674	287	16	spatial	spatial	ADJ
ap-1674	287	17	and	and	CCONJ
ap-1674	287	18	temporal	temporal	ADJ
ap-1674	287	19	multiscale	multiscale	ADJ
ap-1674	287	20	simulations	simulation	NOUN
ap-1674	287	21	of	of	ADP
ap-1674	287	22	damage	damage	NOUN
ap-1674	287	23	processes	process	NOUN
ap-1674	287	24	for	for	ADP
ap-1674	287	25	concrete	concrete	NOUN
ap-1674	287	26	,	,	PUNCT
ap-1674	287	27	in	in	ADP
ap-1674	287	28	innovation	innovation	NOUN
ap-1674	287	29	in	in	ADP
ap-1674	287	30	computational	computational	ADJ
ap-1674	287	31	structures	structure	NOUN
ap-1674	287	32	technology	technology	NOUN
ap-1674	287	33	,	,	PUNCT
ap-1674	287	34	topping	top	VERB
ap-1674	287	35	b.h.v	b.h.v	NOUN
ap-1674	287	36	.	.	PUNCT
ap-1674	288	1	et	et	PROPN
ap-1674	288	2	al	al	PROPN
ap-1674	288	3	.	.	PROPN
ap-1674	288	4	(	(	PUNCT
ap-1674	288	5	eds	ed	NOUN
ap-1674	288	6	)	)	PUNCT
ap-1674	288	7	,	,	PUNCT
ap-1674	288	8	saxe	saxe	NOUN
ap-1674	288	9	-	-	PUNCT
ap-1674	288	10	coburg	coburg	PROPN
ap-1674	288	11	publications	publication	NOUN
ap-1674	288	12	,	,	PUNCT
ap-1674	288	13	2006	2006	NUM
ap-1674	288	14	,	,	PUNCT
ap-1674	288	15	pp	pp	ADV
ap-1674	288	16	.	.	PUNCT
ap-1674	289	1	133–157	133–157	NUM
ap-1674	289	2	.	.	PUNCT
ap-1674	290	1	[	[	X
ap-1674	290	2	24	24	NUM
ap-1674	290	3	]	]	X
ap-1674	290	4	van	van	PROPN
ap-1674	290	5	mier	mier	NOUN
ap-1674	290	6	,	,	PUNCT
ap-1674	290	7	j.g.m	j.g.m	PROPN
ap-1674	290	8	.	.	PROPN
ap-1674	290	9	,	,	PUNCT
ap-1674	290	10	van	van	PROPN
ap-1674	290	11	vliet	vliet	PROPN
ap-1674	290	12	,	,	PUNCT
ap-1674	290	13	m.r.a	m.r.a	NOUN
ap-1674	290	14	.	.	PUNCT
ap-1674	290	15	:	:	PUNCT
ap-1674	291	1	influence	influence	NOUN
ap-1674	291	2	of	of	ADP
ap-1674	291	3	microstructure	microstructure	NOUN
ap-1674	291	4	of	of	ADP
ap-1674	291	5	concrete	concrete	NOUN
ap-1674	291	6	on	on	ADP
ap-1674	291	7	size	size	NOUN
ap-1674	291	8	/	/	SYM
ap-1674	291	9	scale	scale	NOUN
ap-1674	291	10	effects	effect	NOUN
ap-1674	291	11	in	in	ADP
ap-1674	291	12	tensile	tensile	NOUN
ap-1674	291	13	fracture	fracture	NOUN
ap-1674	291	14	,	,	PUNCT
ap-1674	291	15	engineering	engineering	NOUN
ap-1674	291	16	fracture	fracture	NOUN
ap-1674	291	17	mechanics	mechanic	NOUN
ap-1674	291	18	,	,	PUNCT
ap-1674	291	19	70	70	NUM
ap-1674	291	20	,	,	PUNCT
ap-1674	291	21	16	16	NUM
ap-1674	291	22	,	,	PUNCT
ap-1674	291	23	2003	2003	NUM
ap-1674	291	24	,	,	PUNCT
ap-1674	291	25	pp	pp	ADJ
ap-1674	291	26	.	.	PUNCT
ap-1674	291	27	2281–2306	2281–2306	X
ap-1674	291	28	.	.	PUNCT
ap-1674	292	1	[	[	X
ap-1674	292	2	25	25	NUM
ap-1674	292	3	]	]	X
ap-1674	292	4	leite	leite	PROPN
ap-1674	292	5	,	,	PUNCT
ap-1674	292	6	l.p.b	l.p.b	PROPN
ap-1674	292	7	.	.	PROPN
ap-1674	292	8	,	,	PUNCT
ap-1674	292	9	slowik	slowik	PROPN
ap-1674	292	10	,	,	PUNCT
ap-1674	292	11	v.	v.	PROPN
ap-1674	292	12	,	,	PUNCT
ap-1674	292	13	mihashi	mihashi	NOUN
ap-1674	292	14	,	,	PUNCT
ap-1674	292	15	h.	h.	NOUN
ap-1674	292	16	:	:	PUNCT
ap-1674	292	17	computer	computer	NOUN
ap-1674	292	18	simulations	simulation	NOUN
ap-1674	292	19	of	of	ADP
ap-1674	292	20	fracture	fracture	NOUN
ap-1674	292	21	processes	process	NOUN
ap-1674	292	22	of	of	ADP
ap-1674	292	23	concrete	concrete	NOUN
ap-1674	292	24	using	use	VERB
ap-1674	292	25	meso	meso	NOUN
ap-1674	292	26	-	-	PUNCT
ap-1674	292	27	level	level	NOUN
ap-1674	292	28	models	model	NOUN
ap-1674	292	29	of	of	ADP
ap-1674	292	30	lattice	lattice	NOUN
ap-1674	292	31	structures	structure	NOUN
ap-1674	292	32	,	,	PUNCT
ap-1674	292	33	cement	cement	NOUN
ap-1674	292	34	and	and	CCONJ
ap-1674	292	35	concrete	concrete	ADJ
ap-1674	292	36	research	research	NOUN
ap-1674	292	37	,	,	PUNCT
ap-1674	292	38	34	34	NUM
ap-1674	292	39	,	,	PUNCT
ap-1674	292	40	2004	2004	NUM
ap-1674	292	41	,	,	PUNCT
ap-1674	292	42	pp	pp	ADV
ap-1674	292	43	.	.	PUNCT
ap-1674	293	1	1025–1033	1025–1033	NUM
ap-1674	293	2	.	.	PUNCT
ap-1674	294	1	[	[	X
ap-1674	294	2	26	26	NUM
ap-1674	294	3	]	]	PUNCT
ap-1674	294	4	haefner	haefner	NOUN
ap-1674	294	5	,	,	PUNCT
ap-1674	294	6	s.	s.	PROPN
ap-1674	294	7	,	,	PUNCT
ap-1674	294	8	eckardt	eckardt	NOUN
ap-1674	294	9	,	,	PUNCT
ap-1674	294	10	s.	s.	PROPN
ap-1674	294	11	,	,	PUNCT
ap-1674	294	12	koenke	koenke	PROPN
ap-1674	294	13	,	,	PUNCT
ap-1674	294	14	c.	c.	NOUN
ap-1674	294	15	:	:	PUNCT
ap-1674	294	16	a	a	DET
ap-1674	294	17	geometrical	geometrical	ADJ
ap-1674	294	18	inclusion	inclusion	NOUN
ap-1674	294	19	-	-	PUNCT
ap-1674	294	20	matrix	matrix	NOUN
ap-1674	294	21	model	model	NOUN
ap-1674	294	22	for	for	ADP
ap-1674	294	23	the	the	DET
ap-1674	294	24	finite	finite	ADJ
ap-1674	294	25	element	element	NOUN
ap-1674	294	26	analysis	analysis	NOUN
ap-1674	294	27	of	of	ADP
ap-1674	294	28	concrete	concrete	NOUN
ap-1674	294	29	at	at	ADP
ap-1674	294	30	multiple	multiple	ADJ
ap-1674	294	31	scales	scale	NOUN
ap-1674	294	32	,	,	PUNCT
ap-1674	294	33	in	in	ADP
ap-1674	294	34	proceedings	proceeding	NOUN
ap-1674	294	35	of	of	ADP
ap-1674	294	36	the	the	DET
ap-1674	294	37	16th	16th	ADJ
ap-1674	294	38	ikm	ikm	NOUN
ap-1674	294	39	,	,	PUNCT
ap-1674	294	40	guerlebeck	guerlebeck	NOUN
ap-1674	294	41	,	,	PUNCT
ap-1674	294	42	k.	k.	PROPN
ap-1674	294	43	et	et	PROPN
ap-1674	294	44	al	al	PROPN
ap-1674	294	45	.	.	PROPN
ap-1674	294	46	(	(	PUNCT
ap-1674	294	47	eds	ed	NOUN
ap-1674	294	48	)	)	PUNCT
ap-1674	294	49	,	,	PUNCT
ap-1674	294	50	2003	2003	NUM
ap-1674	294	51	.	.	PUNCT
ap-1674	295	1	[	[	X
ap-1674	295	2	27	27	NUM
ap-1674	295	3	]	]	X
ap-1674	295	4	baker	baker	PROPN
ap-1674	295	5	,	,	PUNCT
ap-1674	295	6	t.j	t.j	PROPN
ap-1674	295	7	.	.	PROPN
ap-1674	295	8	:	:	PUNCT
ap-1674	295	9	automatic	automatic	ADJ
ap-1674	295	10	mesh	mesh	NOUN
ap-1674	295	11	generation	generation	NOUN
ap-1674	295	12	for	for	ADP
ap-1674	295	13	complex	complex	ADJ
ap-1674	295	14	three	three	NUM
ap-1674	295	15	-	-	PUNCT
ap-1674	295	16	dimensional	dimensional	ADJ
ap-1674	295	17	regions	region	NOUN
ap-1674	295	18	using	use	VERB
ap-1674	295	19	a	a	DET
ap-1674	295	20	constrained	constrain	VERB
ap-1674	295	21	delaunay	delaunay	PROPN
ap-1674	295	22	triangulation	triangulation	NOUN
ap-1674	295	23	,	,	PUNCT
ap-1674	295	24	engineering	engineering	NOUN
ap-1674	295	25	with	with	ADP
ap-1674	295	26	computers	computer	NOUN
ap-1674	295	27	,	,	PUNCT
ap-1674	295	28	5	5	NUM
ap-1674	295	29	,	,	PUNCT
ap-1674	295	30	1989	1989	NUM
ap-1674	295	31	,	,	PUNCT
ap-1674	295	32	pp	pp	ADP
ap-1674	295	33	.	.	PUNCT
ap-1674	296	1	161–175	161–175	NUM
ap-1674	296	2	.	.	PUNCT
ap-1674	297	1	[	[	X
ap-1674	297	2	28	28	NUM
ap-1674	297	3	]	]	X
ap-1674	297	4	bažant	bažant	NOUN
ap-1674	297	5	,	,	PUNCT
ap-1674	297	6	z.p	z.p	PROPN
ap-1674	297	7	.	.	PROPN
ap-1674	297	8	,	,	PUNCT
ap-1674	297	9	caner	caner	NOUN
ap-1674	297	10	,	,	PUNCT
ap-1674	297	11	f.c	f.c	PROPN
ap-1674	297	12	.	.	PROPN
ap-1674	297	13	,	,	PUNCT
ap-1674	297	14	carol	carol	PROPN
ap-1674	297	15	,	,	PUNCT
ap-1674	297	16	i.	i.	PROPN
ap-1674	297	17	,	,	PUNCT
ap-1674	297	18	adley	adley	PROPN
ap-1674	297	19	,	,	PUNCT
ap-1674	297	20	m.d	m.d	PROPN
ap-1674	297	21	.	.	PROPN
ap-1674	297	22	,	,	PUNCT
ap-1674	297	23	akers	akers	PROPN
ap-1674	297	24	,	,	PUNCT
ap-1674	297	25	s.a	s.a	PROPN
ap-1674	297	26	.	.	PROPN
ap-1674	297	27	:	:	PUNCT
ap-1674	298	1	microplane	microplane	NOUN
ap-1674	298	2	model	model	NOUN
ap-1674	298	3	m4	m4	PROPN
ap-1674	298	4	for	for	ADP
ap-1674	298	5	concrete	concrete	NOUN
ap-1674	298	6	.	.	PUNCT
ap-1674	299	1	part	part	NOUN
ap-1674	300	1	i	i	PRON
ap-1674	300	2	:	:	PUNCT
ap-1674	300	3	formulation	formulation	NOUN
ap-1674	300	4	with	with	ADP
ap-1674	300	5	work	work	NOUN
ap-1674	300	6	-	-	PUNCT
ap-1674	300	7	conjugate	conjugate	ADJ
ap-1674	300	8	deviatoric	deviatoric	ADJ
ap-1674	300	9	stress	stress	NOUN
ap-1674	300	10	,	,	PUNCT
ap-1674	300	11	journal	journal	NOUN
ap-1674	300	12	of	of	ADP
ap-1674	300	13	engineering	engineering	NOUN
ap-1674	300	14	mechanics	mechanic	NOUN
ap-1674	300	15	asce	asce	NOUN
ap-1674	300	16	,	,	PUNCT
ap-1674	300	17	126	126	NUM
ap-1674	300	18	,	,	PUNCT
ap-1674	300	19	2000	2000	NUM
ap-1674	300	20	,	,	PUNCT
ap-1674	300	21	pp	pp	ADJ
ap-1674	300	22	.	.	PUNCT
ap-1674	301	1	944–953	944–953	NUM
ap-1674	301	2	.	.	PUNCT
ap-1674	302	1	[	[	X
ap-1674	302	2	29	29	NUM
ap-1674	302	3	]	]	X
ap-1674	302	4	rypl	rypl	PROPN
ap-1674	302	5	,	,	PUNCT
ap-1674	302	6	d.	d.	PROPN
ap-1674	302	7	:	:	PUNCT
ap-1674	302	8	discretization	discretization	NOUN
ap-1674	302	9	of	of	ADP
ap-1674	302	10	three	three	NUM
ap-1674	302	11	-	-	PUNCT
ap-1674	302	12	dimensional	dimensional	ADJ
ap-1674	302	13	aggregate	aggregate	ADJ
ap-1674	302	14	particles	particle	NOUN
ap-1674	302	15	,	,	PUNCT
ap-1674	302	16	in	in	ADP
ap-1674	302	17	cd	cd	PROPN
ap-1674	302	18	-	-	PUNCT
ap-1674	302	19	rom	rom	NOUN
ap-1674	302	20	proceedings	proceeding	NOUN
ap-1674	302	21	of	of	ADP
ap-1674	302	22	the	the	DET
ap-1674	302	23	iii	iii	NOUN
ap-1674	302	24	.	.	PUNCT
ap-1674	303	1	european	european	ADJ
ap-1674	303	2	conference	conference	PROPN
ap-1674	303	3	on	on	ADP
ap-1674	303	4	computational	computational	ADJ
ap-1674	303	5	mechanics	mechanic	NOUN
ap-1674	303	6	,	,	PUNCT
ap-1674	303	7	mota	mota	PROPN
ap-1674	303	8	soares	soares	PROPN
ap-1674	303	9	,	,	PUNCT
ap-1674	303	10	c.a	c.a	PROPN
ap-1674	303	11	.	.	PROPN
ap-1674	303	12	et	et	PROPN
ap-1674	303	13	al	al	PROPN
ap-1674	303	14	.	.	PROPN
ap-1674	303	15	(	(	PUNCT
ap-1674	303	16	eds	ed	NOUN
ap-1674	303	17	)	)	PUNCT
ap-1674	303	18	,	,	PUNCT
ap-1674	303	19	2006	2006	NUM
ap-1674	303	20	.	.	PUNCT
ap-1674	304	1	47	47	NUM