A simple method for approximating rational Bézier curve using Bézier curves

Authors:
Youdu Huang;Huaming Su;Hongwei Lin
Affiliations:
School of Science, Hefei University of Technology, Hefei 230009, China;School of Science, Hefei University of Technology, Hefei 230009, China;State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310027, China
Venue:
Computer Aided Geometric Design
Year:
2008

Citing 5
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Abstract

This paper presents a simple method for approximating a rational Bezier curve with Bezier curve sequence, whose control points are those of degree-elevated rational Bezier curves. It is proved that the derivatives with any given degree of the Bezier curve sequence constructed this way would uniformly converge to the corresponding derivatives of the original rational Bezier curve.