An algorithm to improve parameterizations of rational Bezier surfaces using rational bilinear reparameterization

作者：Yang, Yi-Jun^*; Zeng, Wei; Yang, Cheng-Lei; Deng, Bailin; Meng, Xiang-Xu; Iyengar, S. Sitharama

来源：CAD Computer Aided Design, 2013, 45(3): 628-638.

DOI：10.1016/j.cad.2012.10.048

• Rational Bezier surfaces
• Rational bilinear reparameterization
• Surface parameterization

The parameterization of rational Bezier surfaces greatly affects rendering and tessellation results. The uniformity and orthogonality of iso-parametric curves are two key properties of the optimal parameterization. The only rational Bezier surfaces with uniform iso-parametric curves are bilinear surfaces, and the only rational Bezier surfaces with uniform and orthogonal iso-parametric curves are rectangles. To improve the uniformity and orthogonality of iso-parametric curves for general rational Bezier surfaces, an optimization algorithm using the rational bilinear reparameterizations is presented, which can produce a better parameterization with the cost of degree elevation. Examples are given to show the performance of our algorithm for rendering and tessellation applications.

• 出版日期2013-3
• 单位山东大学