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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. (en)
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Title
| - Surfaces with Rational Chord Length Parameterization
- Surfaces with Rational Chord Length Parameterization (en)
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skos:prefLabel
| - Surfaces with Rational Chord Length Parameterization
- Surfaces with Rational Chord Length Parameterization (en)
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skos:notation
| - RIV/49777513:23520/10:00503255!RIV11-MSM-23520___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/49777513:23520/10:00503255
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Rational triangular Bézier surfaces; chord lengths parameterizations; RCL surfaces; interpolation (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - DE - Spolková republika Německo
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Lecture Notes in Computer Science
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Bastl, Bohumír
- Lávička, Miroslav
- Šír, Zbyněk
- Jüttler, Bert
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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