Approximation of circular arcs and offset curves by Bézier curves of high degree

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摘要

In this paper, we present an exact error analysis for circle approximation by Bézier curve. The approximation method is a special case of Floater's conic approximation method (Comput. Aided Geom. Design 8 (1991)135). Using this, we propose an approximation method of the offset curve of given plane Bézier curve by Bézier curve of the same degree.

论文关键词:Circular arc,Offset curve,Convolution curve,Bézier curve,Hausdorff distance

论文评审过程:Received 9 February 2003, Revised 30 September 2003, Available online 7 February 2004.

论文官网地址:https://doi.org/10.1016/j.cam.2003.10.008