Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628945 | Applied Mathematics and Computation | 2013 | 9 Pages |
Abstract
According to some identities and inequalities about the intermediate weights and control points of the de Casteljau algorithm for rational Bézier curve, we derive a new bound of the derivative of rational Bézier curves. The comparison of the new bounds with some existing ones is also presented. Based on some previous bounds, the bound presented in this paper and many numerical examples, we propose a conjecture of the bound for the derivative of rational Bézier curves.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yajuan Li, Chongyang Deng, Wenbiao Jin, Nailiang Zhao,