Fast evaluation of derivatives of B\'ezier curves
Abstract
New geometric methods for fast evaluation of derivatives of polynomial and rational B\'ezier curves are proposed. They apply an algorithm for evaluating polynomial or rational B\'ezier 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\'ezier curves of high degrees.
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