About: Surfaces with Rational Chord Length Parameterization

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Surfaces with Rational Chord Length Parameterization Goto Sponge NotDistinct Permalink

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

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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)
Title	Surfaces with Rational Chord Length Parameterization Surfaces with Rational Chord Length Parameterization (en)
skos:prefLabel	Surfaces with Rational Chord Length Parameterization Surfaces with Rational Chord Length Parameterization (en)
skos:notation	RIV/49777513:23520/10:00503255!RIV11-MSM-23520___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika	6130
http://linked.open...vai/riv/dodaniDat	2011
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	291167
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/10:00503255
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Rational triangular Bézier surfaces; chord lengths parameterizations; RCL surfaces; interpolation (en)
http://linked.open.../riv/klicoveSlovo	interpolation RCL surfaces Rational triangular Bézier surfaces chord lengths parameterizations
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[1113720E87BC]
http://linked.open...i/riv/nazevZdroje	Lecture Notes in Computer Science
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	2010
http://linked.open...iv/tvurceVysledku	Bastl, Bohumír Lávička, Miroslav Šír, Zbyněk Jüttler, Bert
http://linked.open...n/vavai/riv/zamer	Spojité a diskrétní matematické struktury a vývoj odpovídajících metod jejich zkoumání
issn	0302-9743
number of pages	11 (xsd:int)
http://localhost/t...ganizacniJednotka	23520

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 48 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software