Determining surfaces of revolution from their implicit equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43925446" target="_blank" >RIV/49777513:23520/15:43925446 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.cam.2015.05.006" target="_blank" >http://dx.doi.org/10.1016/j.cam.2015.05.006</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cam.2015.05.006" target="_blank" >10.1016/j.cam.2015.05.006</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Determining surfaces of revolution from their implicit equations

Popis výsledku v původním jazyce

Results of number of geometric operations are in many cases surfaces described implicitly. Then it is a challenging task to recognize the type of the obtained surface, find its characteristics and for the rational surfaces compute also their parameterizations. In this contribution we will focus on surfaces of revolution. These objects, widely used in geometric modelling, are generated by rotating a generatrix around a given axis. If the generatrix is an algebraic curve then so is also the resulting surface, described uniquely by a polynomial which can be found by some well-established implicitation technique. However, starting from a polynomial it is not known how to decide if the corresponding algebraic surface is rotational or not. Motivated by this,our goal is to formulate a simple and efficient algorithm whose input is a polynomial with the coefficients from some subfield of RR and the output is the answer whether the shape is a surface of revolution. In the affirmative case we al

Název v anglickém jazyce

Determining surfaces of revolution from their implicit equations

Popis výsledku anglicky

Results of number of geometric operations are in many cases surfaces described implicitly. Then it is a challenging task to recognize the type of the obtained surface, find its characteristics and for the rational surfaces compute also their parameterizations. In this contribution we will focus on surfaces of revolution. These objects, widely used in geometric modelling, are generated by rotating a generatrix around a given axis. If the generatrix is an algebraic curve then so is also the resulting surface, described uniquely by a polynomial which can be found by some well-established implicitation technique. However, starting from a polynomial it is not known how to decide if the corresponding algebraic surface is rotational or not. Motivated by this,our goal is to formulate a simple and efficient algorithm whose input is a polynomial with the coefficients from some subfield of RR and the output is the answer whether the shape is a surface of revolution. In the affirmative case we al

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

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

ISSN

0377-0427

e-ISSN

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Svazek periodika

290

Číslo periodika v rámci svazku

December

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

11

Strana od-do

125-135

Kód UT WoS článku

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EID výsledku v databázi Scopus

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