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Statements

Subject Item
n2:RIV%2F49777513%3A23520%2F10%3A00503255%21RIV11-MSM-23520___
rdf:type
n8:Vysledek skos:Concept
dcterms:description
We consider a rational triangular Bézier surface of degree n and study conditions under which it is rationally parameterized by chord lengths (RCL surface) with respect to the reference circle. The distinguishing property of these surfaces is that the ratios of the three distances of a point to the three vertices of an arbitrary triangle inscribed to the reference circle and the ratios of the distances of the parameter point to the three vertices of the corresponding domain triangle are identical. This RCL property, which extends an observation about rational curves parameterized by chord lengths, was firstly observed in the surface case for patches on spheres. In the present paper, we analyze the entire family of RCL surfaces, provide their general parameterization and thoroughly investigate their properties. We consider a rational triangular Bézier surface of degree n and study conditions under which it is rationally parameterized by chord lengths (RCL surface) with respect to the reference circle. The distinguishing property of these surfaces is that the ratios of the three distances of a point to the three vertices of an arbitrary triangle inscribed to the reference circle and the ratios of the distances of the parameter point to the three vertices of the corresponding domain triangle are identical. This RCL property, which extends an observation about rational curves parameterized by chord lengths, was firstly observed in the surface case for patches on spheres. In the present paper, we analyze the entire family of RCL surfaces, provide their general parameterization and thoroughly investigate their properties.
dcterms:title
Surfaces with Rational Chord Length Parameterization Surfaces with Rational Chord Length Parameterization
skos:prefLabel
Surfaces with Rational Chord Length Parameterization Surfaces with Rational Chord Length Parameterization
skos:notation
RIV/49777513:23520/10:00503255!RIV11-MSM-23520___
n5:aktivita
n14:Z
n5:aktivity
Z(MSM4977751301)
n5:cisloPeriodika
6130
n5:dodaniDat
n6:2011
n5:domaciTvurceVysledku
n7:1043161 n7:3013626 n7:4296133
n5:druhVysledku
n16:J
n5:duvernostUdaju
n11:S
n5:entitaPredkladatele
n17:predkladatel
n5:idSjednocenehoVysledku
291167
n5:idVysledku
RIV/49777513:23520/10:00503255
n5:jazykVysledku
n15:eng
n5:klicovaSlova
Rational triangular Bézier surfaces; chord lengths parameterizations; RCL surfaces; interpolation
n5:klicoveSlovo
n9:Rational%20triangular%20B%C3%A9zier%20surfaces n9:RCL%20surfaces n9:chord%20lengths%20parameterizations n9:interpolation
n5:kodStatuVydavatele
DE - Spolková republika Německo
n5:kontrolniKodProRIV
[1113720E87BC]
n5:nazevZdroje
Lecture Notes in Computer Science
n5:obor
n13:BA
n5:pocetDomacichTvurcuVysledku
3
n5:pocetTvurcuVysledku
4
n5:rokUplatneniVysledku
n6:2010
n5:svazekPeriodika
2010
n5:tvurceVysledku
Lávička, Miroslav Jüttler, Bert Bastl, Bohumír Šír, Zbyněk
n5:zamer
n18:MSM4977751301
s:issn
0302-9743
s:numberOfPages
11
n4:organizacniJednotka
23520