Polynomial approximation of rational Bézier curves with constraints

Polynomial approximation of rational Bézier curves with constraints

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Article ID: iaor20122838
Volume: 59
Issue: 4
Start Page Number: 607
End Page Number: 622
Publication Date: Apr 2012
Journal: Numerical Algorithms
Authors: , ,
Keywords: approximation, computer graphics
Abstract:

We present an efficient method to solve the problem of the constrained least squares approximation of the rational Bézier curve by the polynomial Bézier curve. The presented algorithm uses the dual constrained Bernstein basis polynomials, and exploits their recursive properties. Examples are given, showing the effectiveness of the algorithm.

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