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Statements

Subject Item
n2:RIV%2F49777513%3A23520%2F08%3A00500804%21RIV09-MSM-23520___
rdf:type
n9:Vysledek skos:Concept
dcterms:description
Recently, the support function representation of hypersurfaces has been introduced into CAGD. This representation is very useful in computation of convolutions of hypersurfaces. However, for a given hypersurface (represented parametrically or implicitly) it is not always possible to represent it via support function. In this paper we introduce the so-called implicit support function (ISF) representation which removes this main disadvantage. We show how ISF representation can be used in computation of rational convolutions of hypersurfaces, i.e., how to identify that the convolution is rational and how to find its rational parameterization. V nedávné době byla zavedena do CAGD (Computer Aided Geometric Design) reprezentace nadploch pomocí tzv. opěrné funkce. Tato reprezentace je velmi výhodná a užitečná při výpočtu konvolucí nadploch. Nevýhodou je, že danou nadplochu (popsanou parametricky nebo implicitně) není vždy možné reprezentovat pomocí opěrné funkce. V~tomto článku odstraníme tuto nevýhodu zavedením reprezentace nadploch tzv. implicitní opěrnou funkcí (ISF reprezentace, z anglického Implicit Support Function). Ukážeme, jak je možné ISF reprezentaci použít při výpočtu racionální konvoluce nadploch, tj. jak je možné rozpoznat, že je konvoluce racionální a jak najít její racionální parametrizaci. Recently, the support function representation of hypersurfaces has been introduced into CAGD. This representation is very useful in computation of convolutions of hypersurfaces. However, for a given hypersurface (represented parametrically or implicitly) it is not always possible to represent it via support function. In this paper we introduce the so-called implicit support function (ISF) representation which removes this main disadvantage. We show how ISF representation can be used in computation of rational convolutions of hypersurfaces, i.e., how to identify that the convolution is rational and how to find its rational parameterization.
dcterms:title
ISF representation of hypersurfaces and rational convolutions computation ISF representation of hypersurfaces and rational convolutions computation Konference o geometrii a grafice 2008
skos:prefLabel
Konference o geometrii a grafice 2008 ISF representation of hypersurfaces and rational convolutions computation ISF representation of hypersurfaces and rational convolutions computation
skos:notation
RIV/49777513:23520/08:00500804!RIV09-MSM-23520___
n3:aktivita
n11:Z
n3:aktivity
Z(MSM4977751301)
n3:dodaniDat
n19:2009
n3:domaciTvurceVysledku
n8:3013626 n8:1043161 n8:4296133
n3:druhVysledku
n21:D
n3:duvernostUdaju
n13:S
n3:entitaPredkladatele
n12:predkladatel
n3:idSjednocenehoVysledku
373372
n3:idVysledku
RIV/49777513:23520/08:00500804
n3:jazykVysledku
n20:eng
n3:klicovaSlova
Convolution hypersurfaces; support function representation; implicit support function representation; rational parameterizations.
n3:klicoveSlovo
n5:implicit%20support%20function%20representation n5:support%20function%20representation n5:Convolution%20hypersurfaces n5:rational%20parameterizations.
n3:kontrolniKodProRIV
[ACE7489D9E72]
n3:mistoKonaniAkce
Lednice
n3:mistoVydani
Brno
n3:nazevZdroje
Sborník příspěvků 28. konference o geometrii a grafice
n3:obor
n6:BA
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
3
n3:rokUplatneniVysledku
n19:2008
n3:tvurceVysledku
Bastl, Bohumír Lávička, Miroslav Šír, Zbyněk
n3:typAkce
n18:EUR
n3:zahajeniAkce
2008-09-11+02:00
n3:zamer
n16:MSM4977751301
s:numberOfPages
9
n15:hasPublisher
Mendelova zemědělská a lesnická univerzita v Brně
n14:isbn
978-80-7375-249-1
n4:organizacniJednotka
23520