New Approach to Approximate Circular Arc by Quartic Bezier Curve

Azhar Ahmad, Rohaidah Masri, Jamaluddin M. Ali

Nor’ashiqin Mohd Idrus Department of Mathematics Universiti Pendidikan Sultan Idris Tanjung Malim, Perak, Malaysia.
School of Mathematical Science Universiti Sains Malaysia Penang, Malaysia.

DOI: 10.4236/ojapps.2012.24B032                

Abstract

This paper presents a result of approximation an arc circles by using a quartic Bezier curve. Based on the barycentric coordinates of two and three combination of control points, the interior control points are determined by forcing the curvature at median point as similar as the given curvature at end points. Hausdorff distance is used to investigate the order of accuracy compare to the actual arc circles through central angle of . We found that the optimal approximation order is eight which is somewhat similar to preceding methods in the literatures. 

Keywords

arc circle, barycentric coordinate, Hausdorff distance, quartic Bezier

Conflicts of Interest

The authors declare no conflicts of interest.

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