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

In this paper, we present an exact error analysis for circle approximation by Bézier curve. The approximation method is a special case of Floaterʹs 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.