PN plochy a jejich konvoluce s racionálními plochami

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F08%3A00500444" target="_blank" >RIV/49777513:23520/08:00500444 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

PN surfaces and their convolutions with rational surfaces

Popis výsledku v původním jazyce

Rationally parameterized hypersurfaces can be classified with respect to their RC properties (Rational Convolutions) with the help of the Gr"{o}bner bases theory. This classification focuses on special classes of rational parameterizations which providea rational description of convolution hypersurfaces generally (GRC parameterizations), or just in some special cases (SRC parameterizations). The main aim of this paper is to bring the theory of the so called PN surfaces (surfaces with Pythagorean Normal vectors) and their PN parameterizations (parameterizations fulfilling the PN condition) in relation to the theory of SRC parameterizations and to show that this type of parameterizations can be further classified with respect to the degree of the construction of convolution surfaces. The connection of SRC PN parameterizations to the well known concepts of proper and square-root parameterizations is also investigated.

Název v anglickém jazyce

PN surfaces and their convolutions with rational surfaces

Popis výsledku anglicky

Rationally parameterized hypersurfaces can be classified with respect to their RC properties (Rational Convolutions) with the help of the Gr"{o}bner bases theory. This classification focuses on special classes of rational parameterizations which providea rational description of convolution hypersurfaces generally (GRC parameterizations), or just in some special cases (SRC parameterizations). The main aim of this paper is to bring the theory of the so called PN surfaces (surfaces with Pythagorean Normal vectors) and their PN parameterizations (parameterizations fulfilling the PN condition) in relation to the theory of SRC parameterizations and to show that this type of parameterizations can be further classified with respect to the degree of the construction of convolution surfaces. The connection of SRC PN parameterizations to the well known concepts of proper and square-root parameterizations is also investigated.

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

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2008

Kód důvěrnosti údajů

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

Název periodika

Computer Aided Geometric Design

ISSN

0167-8396

e-ISSN

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Svazek periodika

25

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

12

Strana od-do

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Kód UT WoS článku

000261246200008

EID výsledku v databázi Scopus

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