The presentation of Bezier surfaces affects the results of rendering and tessellating applications greatly. To achieve optimal parameterization, we present two reparameterization algorithms using linear Mobius transformations and quadratic transformations, respectively. The quadratic reparameterization algorithm can produce more satisfying results than the Mobius reparameterization algorithm with degree elevation cost. Examples are given to show the performance of our algorithms for rendering and tessellating applications.
['Yi-Jun Yang', 'Jun-Hai Yong', 'Hui Zhang', 'Jean-Claude Paul', 'Jiaguang Sun']
Optimal Parameterizations of Bézier Surfaces