Study Of Algebraic Operations Used In CAGD Through Incidence Varieties

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43898296" target="_blank" >RIV/49777513:23520/11:43898296 - 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

Study Of Algebraic Operations Used In CAGD Through Incidence Varieties

Popis výsledku v původním jazyce

Current geometric modelling (Computer Aided Geometric Design) uses several operations defined over algebraic varieties whose output are again algebraic varieties (e.g. offsetting, operation of convolution, bisectors). Nevertheless, an uncomfortable feature of these constructions is the fact that the output variety may be, in some sense, more complicated than the input varieties ? e.g. its algebraic degree is often higher, it consists of more components and mainly it does not have to be rational althoughthe both input objects are rational. From this reason, it is necessary to leave the rational world of CAGD and use the techniques of algebraic geometry which work over the field of complex numbers and thus give global and more general results. Especially, we discuss an unifying approach based on the so called incidence varieties.

Název v anglickém jazyce

Study Of Algebraic Operations Used In CAGD Through Incidence Varieties

Popis výsledku anglicky

Current geometric modelling (Computer Aided Geometric Design) uses several operations defined over algebraic varieties whose output are again algebraic varieties (e.g. offsetting, operation of convolution, bisectors). Nevertheless, an uncomfortable feature of these constructions is the fact that the output variety may be, in some sense, more complicated than the input varieties ? e.g. its algebraic degree is often higher, it consists of more components and mainly it does not have to be rational althoughthe both input objects are rational. From this reason, it is necessary to leave the rational world of CAGD and use the techniques of algebraic geometry which work over the field of complex numbers and thus give global and more general results. Especially, we discuss an unifying approach based on the so called incidence varieties.

Druh

D - Stať ve sborníku

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)<br>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 statě ve sborníku

Aplimat 2011

ISBN

978-80-89313-51-8

ISSN

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e-ISSN

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Počet stran výsledku

8

Strana od-do

781-788

Název nakladatele

Faculty of Mechanical Engineering, Slovak University of Technology in Bratislava

Místo vydání

Bratislava

Místo konání akce

Bratislava

Datum konání akce

1. 2. 2011

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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