Approximating rational Bezier curves by constrained Bezier curves of arbitrary degree

12/14/2012

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by   Mao Shi, et al.

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In this paper, we propose a method to obtain a constrained approximation of a rational Bézier curve by a polynomial Bézier curve. This problem is reformulated as an approximation problem between two polynomial Bézier curves based on weighted least-squares method, where weight functions ρ(t)=ω(t) and ρ(t)=ω(t)^2 are studied respectively. The efficiency of the proposed method is tested using some examples.