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

• DOI: 10.1016/j.cam.2003.10.008
• Publication Date: 2004-02-10T10:17:53Z
• Authors: Young Joon Ahn; Yeon soo Kim; Youngsuk Shin
• Keywords: Computational Mathematics; Bézier curve; Hausdorff distance; Convolution curve; Applied Mathematics; 0202 electrical engineering, electronic engineering, information engineering; Offset curve; Circular arc; 02 engineering and technology

AbstractIn 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.