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Conference Papers Year : 2006

Optimal Parameterizations of Bézier Surfaces

Jiaguang Sun
  • Function : Author


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.

Dates and versions

inria-00139868 , version 1 (03-04-2007)



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, pp.672-681, ⟨10.1007/11919476_67⟩. ⟨inria-00139868⟩
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