Title: Skinning and blending with rational envelope surfaces
Authors: Bizzarri, Michal
Lávička, Miroslav
Kosinka, Jiří
Citation: BIZZARI, Michal, LÁVIČKA, Miroslav, KOSINKA, Jiří. Skinning and blending with rational envelope surfaces. Computer-aided design, 2017, roč. 87, č. June, s. 41-51. ISSN 0010-4485.
Issue Date: 2017
Publisher: Elsevier
Document type: preprint
URI: http://hdl.handle.net/11025/26128
ISSN: 0010-4485
Keywords: racionální obalové plochy;transformace mediální osy;spojení;stahování
Keywords in different language: rational envelope surface;medial axis transform;blending;skinning
Abstract in different language: We continue the study of rational envelope (RE) surfaces. Although these surfaces are parametrized with the help of square roots, when considering an RE patch as the medial surface transform in 4D of a spatial domain it yields a rational parametrization of the domain’s boundary, i.e., the envelope of the corresponding 2-parameter family of spheres. We formulate efficient algorithms for G^1 data interpolation using RE surfaces and apply the developed methods to rational skinning and blending of sets of spheres and cones/cylinders, respectively. Our results are demonstrated on several computed examples of skins and blends with rational parametrizations.
Rights: Plný text je přístupný v rámci univerzity přihlášeným uživatelům.
© Elsevier
Appears in Collections:Články / Articles (NTIS)
Preprinty / Preprints (KMA)

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