Yang, Yi-JunZeng, WeiYang, Cheng-LeiDeng, BailinMeng, Xiang-XuIyengar, S. Sitharama2013-02-062013-02-062013-02-06201310.1016/j.cad.2012.10.048https://infoscience.epfl.ch/handle/20.500.14299/88592The parameterization of rational Bézier 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 Bézier surfaces with uniform iso-parametric curves are bilinear surfaces, and the only rational Bézier surfaces with uniform and orthogonal iso-parametric curves are rectangles. To improve the uniformity and orthogonality of iso-parametric curves for general rational Bézier 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.Rational Bézier surfacesRational bilinear reparameterizationSurface parameterizationtext::journal::journal article::research article