کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
440784 | 691275 | 2013 | 11 صفحه PDF | دانلود رایگان |
The 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.
► Only bilinear surfaces have uniform iso-parametric curves.
► Only rectangles have both uniform and orthogonal iso-parametric curves.
► We give the bilinear reparameterizations of rational Bezier surfaces.
► We present an optimization algorithm to improve surface parameterizations.
► Our optimization algorithm is based on the bilinear reparameterization.
Journal: Computer-Aided Design - Volume 45, Issue 3, March 2013, Pages 628–638