About: Spherical quadratic Bézier triangles with chord length parameterization and tripolar coordinates in space

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We consider special rational triangular Bézier surfaces of degree two on the sphere in standard form and show that these surfaces are parameterized by chord length. More precisely, it is shown that the ratios of the three distances of a point to the patch vertices and the ratios of the distances of the parameter point to the three vertices of the (suitably chosen) domain triangle are identical. This observation extends an observation of Farin (2006) about rational quadratic curves representing circles to the case of surfaces. In addition, we discuss the relation to tripolar coordinates. We consider special rational triangular Bézier surfaces of degree two on the sphere in standard form and show that these surfaces are parameterized by chord length. More precisely, it is shown that the ratios of the three distances of a point to the patch vertices and the ratios of the distances of the parameter point to the three vertices of the (suitably chosen) domain triangle are identical. This observation extends an observation of Farin (2006) about rational quadratic curves representing circles to the case of surfaces. In addition, we discuss the relation to tripolar coordinates. (en)
Title	Spherical quadratic Bézier triangles with chord length parameterization and tripolar coordinates in space Spherical quadratic Bézier triangles with chord length parameterization and tripolar coordinates in space (en)
skos:prefLabel	Spherical quadratic Bézier triangles with chord length parameterization and tripolar coordinates in space Spherical quadratic Bézier triangles with chord length parameterization and tripolar coordinates in space (en)
skos:notation	RIV/49777513:23520/11:43898295!RIV12-MSM-23520___
http://linked.open...avai/predkladatel	Fakulta aplikovaných věd
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Bastl, Bohumír Lávička, Miroslav Šír, Zbyněk
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Fakulta aplikovaných věd
http://linked.open...dnocenehoVysledku	231428
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/11:43898295
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Chord length parameterizations, Quadratic rational Bézier patches, Rational patches on the sphere, Tripolar coordinates (en)
http://linked.open.../riv/klicoveSlovo	Chord length parameterizations Quadratic rational Bézier patches Rational patches on the sphere Tripolar coordinates
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[E26158AE702E]
http://linked.open...i/riv/nazevZdroje	Computer Aided Geometric Design
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	5 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	28
http://linked.open...iv/tvurceVysledku	Bastl, Bohumír Lávička, Miroslav Šír, Zbyněk Jüttler, Bert Schicho, Josef
http://linked.open...n/vavai/riv/zamer	Spojité a diskrétní matematické struktury a vývoj odpovídajících metod jejich zkoumání
issn	0167-8396
number of pages	8 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.cagd.2010.11.001
http://localhost/t...ganizacniJednotka	23520
is http://linked.open...avai/riv/vysledek of	Spherical quadratic Bézier triangles with chord length parameterization and tripolar coordinates in space Spherical quadratic Bézier triangles with chord length parameterization and tripolar coordinates in space

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