Triangular bubble spline surfaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43913396" target="_blank" >RIV/49777513:23520/11:43913396 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.cad.2011.08.021" target="_blank" >http://dx.doi.org/10.1016/j.cad.2011.08.021</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cad.2011.08.021" target="_blank" >10.1016/j.cad.2011.08.021</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Triangular bubble spline surfaces

Popis výsledku v původním jazyce

We present a new method for generating a Gn-surface from a triangular network of compatible surface strips. The compatible surface strips are given by a network of polynomial curves with an associated implicitly defined surface, which fulfill certain compatibility conditions. Our construction is based on a new concept, called bubble patches, to represent the single surface patches. The compatible surface strips provide a simple Gn-condition between two neighboring bubble patches, which are used to construct surface patches, connected with Gn-continuity. For n?2, we describe the obtained Gn-condition in detail. It can be generalized to any n?3. The construction of a single surface patch is based on Gordon-Coons interpolation for triangles. Our method isa simple local construction scheme, which works uniformly for vertices of arbitrary valency. The resulting surface is a piecewise rational surface, which interpolates the given network of polynomial curves.

Název v anglickém jazyce

Triangular bubble spline surfaces

Popis výsledku anglicky

We present a new method for generating a Gn-surface from a triangular network of compatible surface strips. The compatible surface strips are given by a network of polynomial curves with an associated implicitly defined surface, which fulfill certain compatibility conditions. Our construction is based on a new concept, called bubble patches, to represent the single surface patches. The compatible surface strips provide a simple Gn-condition between two neighboring bubble patches, which are used to construct surface patches, connected with Gn-continuity. For n?2, we describe the obtained Gn-condition in detail. It can be generalized to any n?3. The construction of a single surface patch is based on Gordon-Coons interpolation for triangles. Our method isa simple local construction scheme, which works uniformly for vertices of arbitrary valency. The resulting surface is a piecewise rational surface, which interpolates the given network of polynomial curves.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Computer-Aided Design

ISSN

0010-4485

e-ISSN

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Svazek periodika

43

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

9

Strana od-do

1341-1349

Kód UT WoS článku

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EID výsledku v databázi Scopus

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