TITLE:
New Approach to Approximate Circular Arc by Quartic Bezier Curve
AUTHORS:
Azhar Ahmad, Rohaidah Masri, Jamaluddin M. Ali
KEYWORDS:
arc circle, barycentric coordinate, Hausdorff distance, quartic Bezier
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.2 No.4B,
January
15,
2013
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.