Weighted polynomial approximation of rational B\'ezier curves
Numerical Analysis
2015-03-02 v1
Abstract
We present an efficient method to solve the problem of the constrained least squares approximation of the rational B\'{e}zier curve by the B\'{e}zier curve. The presented algorithm uses the dual constrained Bernstein basis polynomials, associated with the Jacobi scalar product, and exploits their recursive properties. Examples are given, showing the effectiveness of the algorithm.
Keywords
Cite
@article{arxiv.1502.07877,
title = {Weighted polynomial approximation of rational B\'ezier curves},
author = {Stanisław Lewanowicz and Paweł Woźny and Paweł Keller},
journal= {arXiv preprint arXiv:1502.07877},
year = {2015}
}