Study Of Algebraic Operations Used In CAGD Through Incidence Varieties

Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Study Of Algebraic Operations Used In CAGD Through Incidence Varieties
Original language description
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.
Czech name
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Czech description
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Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Aplimat 2011
ISBN
978-80-89313-51-8
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
781-788
Publisher name
Faculty of Mechanical Engineering, Slovak University of Technology in Bratislava
Place of publication
Bratislava
Event location
Bratislava
Event date
Feb 1, 2011
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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