"2008-09-11+02:00"^^ . "Bastl, Bohum\u00EDr" . "Z(MSM4977751301)" . "23520" . . . "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 . . . "RIV/49777513:23520/08:00500804!RIV09-MSM-23520___" . "Sborn\u00EDk p\u0159\u00EDsp\u011Bvk\u016F 28. konference o geometrii a grafice" . . . . . "Konference o geometrii a grafice 2008"@cs . . . "978-80-7375-249-1" . "Mendelova zem\u011Bd\u011Blsk\u00E1 a lesnick\u00E1 univerzita v Brn\u011B" . . "9"^^ . "373372" . "V ned\u00E1vn\u00E9 dob\u011B byla zavedena do CAGD (Computer Aided Geometric Design) reprezentace nadploch pomoc\u00ED tzv. op\u011Brn\u00E9 funkce. Tato reprezentace je velmi v\u00FDhodn\u00E1 a u\u017Eite\u010Dn\u00E1 p\u0159i v\u00FDpo\u010Dtu konvoluc\u00ED nadploch. Nev\u00FDhodou je, \u017Ee danou nadplochu (popsanou parametricky nebo implicitn\u011B) nen\u00ED v\u017Edy mo\u017En\u00E9 reprezentovat pomoc\u00ED op\u011Brn\u00E9 funkce. V~tomto \u010Dl\u00E1nku odstran\u00EDme tuto nev\u00FDhodu zaveden\u00EDm reprezentace nadploch tzv. implicitn\u00ED op\u011Brnou funkc\u00ED (ISF reprezentace, z anglick\u00E9ho Implicit Support Function). Uk\u00E1\u017Eeme, jak je mo\u017En\u00E9 ISF reprezentaci pou\u017E\u00EDt p\u0159i v\u00FDpo\u010Dtu racion\u00E1ln\u00ED konvoluce nadploch, tj. jak je mo\u017En\u00E9 rozpoznat, \u017Ee je konvoluce racion\u00E1ln\u00ED a jak naj\u00EDt jej\u00ED racion\u00E1ln\u00ED parametrizaci."@cs . . . . "L\u00E1vi\u010Dka, Miroslav" . "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." . "Convolution hypersurfaces; support function representation; implicit support function representation; rational parameterizations."@en . "Lednice" . "ISF representation of hypersurfaces and rational convolutions computation" . "RIV/49777513:23520/08:00500804" . "ISF representation of hypersurfaces and rational convolutions computation" . "Brno" . "3"^^ . . . "ISF representation of hypersurfaces and rational convolutions computation"@en . "ISF representation of hypersurfaces and rational convolutions computation"@en . "3"^^ . "Konference o geometrii a grafice 2008"@cs . . "\u0160\u00EDr, Zbyn\u011Bk" . "[ACE7489D9E72]" . . .