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  • 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. (cs)
  • 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.
  • 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. (en)
Title
  • ISF representation of hypersurfaces and rational convolutions computation
  • Konference o geometrii a grafice 2008 (cs)
  • ISF representation of hypersurfaces and rational convolutions computation (en)
skos:prefLabel
  • ISF representation of hypersurfaces and rational convolutions computation
  • Konference o geometrii a grafice 2008 (cs)
  • ISF representation of hypersurfaces and rational convolutions computation (en)
skos:notation
  • RIV/49777513:23520/08:00500804!RIV09-MSM-23520___
http://linked.open...avai/riv/aktivita
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  • Z(MSM4977751301)
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  • 373372
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  • RIV/49777513:23520/08:00500804
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  • Convolution hypersurfaces; support function representation; implicit support function representation; rational parameterizations. (en)
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  • [ACE7489D9E72]
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  • Lednice
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  • Brno
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  • Sborník příspěvků 28. konference o geometrii a grafice
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  • Bastl, Bohumír
  • Lávička, Miroslav
  • Šír, Zbyněk
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  • Mendelova zemědělská a lesnická univerzita v Brně
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  • 978-80-7375-249-1
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  • 23520
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