Fast evaluation of derivatives of B\'{e}zier curves
Numerical Analysis
2024-02-28 v2 Graphics
Numerical Analysis
Abstract
New geometric methods for fast evaluation of derivatives of polynomial and rational B\'{e}zier curves are proposed. They apply an algorithm for evaluating polynomial or rational B\'{e}zier curves, which was recently given by the authors. Numerical tests show that the new approach is more efficient than the methods which use the famous de Casteljau algorithm. The algorithms work well even for high-order derivatives of rational B\'{e}zier curves of high degrees.
Keywords
Cite
@article{arxiv.2305.18874,
title = {Fast evaluation of derivatives of B\'{e}zier curves},
author = {Filip Chudy and Paweł Woźny},
journal= {arXiv preprint arXiv:2305.18874},
year = {2024}
}