Abstract
In computer-aided geometric design, a polynomial surface is usually represented in Bézier form. The usual form of evaluating such a surface is by using an extension of the de Casteljau algorithm. Using error-free transformations, a compensated version of this algorithm is presented, which improves the usual algorithm in terms of accuracy. A forward error analysis illustrating this fact is developed.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference23 articles.
1. Survey of real root finding of univariate polynomial equation in CAGD/CG;Wei;J. Comput.-Aided Des. Comput. Graph.,2011
2. Numerical Methods for Roots of Polynomials: Part 1: Volume 14, (Studies in Computational Mathematics);McNamee,2007
3. Running Relative Error for the Evaluation of Polynomials
4. On the numerical condition of polynomials in Bernstein form
5. On the optimal stability of the Bernstein basis
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献