Sample-based polynomial approximation of rational Bezier curves

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Lu, Lizheng

关键词: Rational Bezier curves;    Polynomial approximation;    Iteration;    L-p-error;   

DOI  :  10.1016/j.cam.2010.08.008

来源: Elsevier

【 摘 要 】

We present an iteration method for the polynomial approximation of rational Bezier curves. Starting with an initial Bezier curve, we adjust its control points gradually by the scheme of weighted progressive iteration approximations. The L-p-error calculated by the trapezoidal rule using sampled points is used to guide the iteration approximation. We reduce the L-p-error by a predefined factor at every iteration so as to obtain the best approximation with a minimum error. Numerical examples demonstrate the fast convergence of our method and indicate that results obtained using the L-1-error criterion are better than those obtained using the L-2-error and L-infinity-error criteria. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

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