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

  • Authors:
  • Young Joon Ahn;Yeon soo Kim;Youngsuk Shin

  • Affiliations:
  • Department of Mathematics Education, Chosun University, Seosuk-dong, Dong-gu, Gwangju 501-759, Republic of Korea;Department of Mathematics, Ajou University, Suwon 442-749, Republic of Korea;Division of Electronics and Information Communication Engineering, Chosun University, Seosuk-dong, Dong-gu, Gwangju 501-759, Republic of Korea

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2004

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Abstract

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.