A symbolic-numerical method for computing approximate parameterizations of canal surfaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43915055" target="_blank" >RIV/49777513:23520/12:43915055 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.cad.2012.04.001" target="_blank" >http://dx.doi.org/10.1016/j.cad.2012.04.001</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cad.2012.04.001" target="_blank" >10.1016/j.cad.2012.04.001</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A symbolic-numerical method for computing approximate parameterizations of canal surfaces

Popis výsledku v původním jazyce

A canal surface is the envelope of a one-parameter family of spheres centered at the spine curve m(t) and with the radii described by the function r(t). It was proved in Peternell and Pottmann (1997) that any canal surface to a rational spine curve and arational radius function possesses a rational parameterization. Then a symbolic method forgenerating rational parameterizations of canal surfaces was developed in Landsmann et al. (2001) [21]. Indeed, this method leads to the problem of decomposing a polynomial into a sum of two squares over reals, which is solved numerically in general. Hence, approximate techniques generating a parameterization within a certain region of interest are also worth studying. In this paper, we present a method for the computation of approximate rational parameterizations of canal surfaces. A main feature of our approach is a combination of symbolic and numerical techniques yielding approximate topology-based parameterizations of contour curves which are t

Název v anglickém jazyce

A symbolic-numerical method for computing approximate parameterizations of canal surfaces

Popis výsledku anglicky

A canal surface is the envelope of a one-parameter family of spheres centered at the spine curve m(t) and with the radii described by the function r(t). It was proved in Peternell and Pottmann (1997) that any canal surface to a rational spine curve and arational radius function possesses a rational parameterization. Then a symbolic method forgenerating rational parameterizations of canal surfaces was developed in Landsmann et al. (2001) [21]. Indeed, this method leads to the problem of decomposing a polynomial into a sum of two squares over reals, which is solved numerically in general. Hence, approximate techniques generating a parameterization within a certain region of interest are also worth studying. In this paper, we present a method for the computation of approximate rational parameterizations of canal surfaces. A main feature of our approach is a combination of symbolic and numerical techniques yielding approximate topology-based parameterizations of contour curves which are t

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

<a href="/cs/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2012

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

44

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

12

Strana od-do

"846?857"

Kód UT WoS článku

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EID výsledku v databázi Scopus

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