Optimal Parameterizations of Bézier Surfaces

Jean-Claude Paul 1 Jiaguang Sun Yi-Jun Yang 1 Jun-Hai Yong 1
1 CAD - Computer Aided Design
LIAMA - Laboratoire Franco-Chinois d'Informatique, d'Automatique et de Mathématiques Appliquées, Inria Paris-Rocquencourt
Abstract : The presentation of Bézier surfaces affects the results of rendering and tessellating applications greatly. To achieve optimal parameterization, we present two reparameterization algorithms using linear Möbius transformations and quadratic transformations, respectively. The quadratic reparameterization algorithm can produce more satisfying results than the Möbius reparameterization algorithm with degree elevation cost. Examples are given to show the performance of our algorithms for rendering and tessellating applications.
Type de document :
Communication dans un congrès
Advances in Visual Computing, Second International Symposium, ISVC 2006, Proceedings part I, Nov 2006, Lake Tahoe/ Nevada / USA, Springer, 4291/2006 (4291/2006), pp.672-681, 2006, Lecture Notes in Computer Science. 〈10.1007/11919476_67〉
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https://hal.inria.fr/inria-00139868
Contributeur : Chine Publications Liama <>
Soumis le : mardi 3 avril 2007 - 16:46:17
Dernière modification le : mercredi 10 octobre 2018 - 14:28:07

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Jean-Claude Paul, Jiaguang Sun, Yi-Jun Yang, Jun-Hai Yong. Optimal Parameterizations of Bézier Surfaces. Advances in Visual Computing, Second International Symposium, ISVC 2006, Proceedings part I, Nov 2006, Lake Tahoe/ Nevada / USA, Springer, 4291/2006 (4291/2006), pp.672-681, 2006, Lecture Notes in Computer Science. 〈10.1007/11919476_67〉. 〈inria-00139868〉

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