On the Parameterization of Rational Ringed Surfaces and Rational Canal Surfaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10289179" target="_blank" >RIV/00216208:11320/14:10289179 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/49777513:23520/14:43922212

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s11786-014-0192-y" target="_blank" >http://dx.doi.org/10.1007/s11786-014-0192-y</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11786-014-0192-y" target="_blank" >10.1007/s11786-014-0192-y</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the Parameterization of Rational Ringed Surfaces and Rational Canal Surfaces

Popis výsledku v původním jazyce

Ringed surfaces and canal surfaces are surfaces that contain a one-parameter family of circles. Ringed surfaces can be described by a radius function, a directrix curve and vector field along the directrix curve, which specifies the normals of the planesthat contain the circles. In particular, the class of ringed surfaces includes canal surfaces, which can be obtained as the envelopes of a one-parameter family of spheres. Consequently, canal surfaces can be described by a spine curve and a radius function. We present parameterization algorithms for rational ringed surfaces and rational canal surfaces. It is shown that these algorithms may generate any rational parameterization of a ringed (or canal) surface with the property that one family of parameter lines consists of circles. These algorithms are used to obtain rational parameterizations for Darboux cyclides and to construct blends between pairs of canal surfaces and pairs of ringed surfaces.

Název v anglickém jazyce

On the Parameterization of Rational Ringed Surfaces and Rational Canal Surfaces

Popis výsledku anglicky

Ringed surfaces and canal surfaces are surfaces that contain a one-parameter family of circles. Ringed surfaces can be described by a radius function, a directrix curve and vector field along the directrix curve, which specifies the normals of the planesthat contain the circles. In particular, the class of ringed surfaces includes canal surfaces, which can be obtained as the envelopes of a one-parameter family of spheres. Consequently, canal surfaces can be described by a spine curve and a radius function. We present parameterization algorithms for rational ringed surfaces and rational canal surfaces. It is shown that these algorithms may generate any rational parameterization of a ringed (or canal) surface with the property that one family of parameter lines consists of circles. These algorithms are used to obtain rational parameterizations for Darboux cyclides and to construct blends between pairs of canal surfaces and pairs of ringed surfaces.

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

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název periodika

Mathematics in Computer Science

ISSN

1661-8270

e-ISSN

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Svazek periodika

8

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

21

Strana od-do

299-319

Kód UT WoS článku

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EID výsledku v databázi Scopus

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