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Standardization of Rational Bézier Surfaces

Yi-Jun Yang 1 Jun-Hai Yong 2 
1 CAD - Computer Aided Design
LIAMA - Laboratoire Franco-Chinois d'Informatique, d'Automatique et de Mathématiques Appliquées, Inria Paris-Rocquencourt
Abstract : The sufficient and necessary condition for the existence of linear Möbius transformations that can standardize the rational Bézier surfaces is given based on Möbius reparameterization theorem. To obtain the standard form of an arbitrary cubic rational Bézier surface, we then present a quadratic reparameterization algorithm to reparameterize the surface so that all the corner weights of the surface are equal to one. Examples are included to show the performance of the new method. 
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https://hal.inria.fr/inria-00519199
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Submitted on : Saturday, September 18, 2010 - 9:40:36 PM
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  • HAL Id : inria-00519199, version 1
  • PRODINRA : 246816

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Yi-Jun Yang, Jun-Hai Yong. Standardization of Rational Bézier Surfaces. Journal of Computer Aided Design & Computer Graphics, Hujun Bao, 2007. ⟨inria-00519199⟩

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