2013•Information Technology And ControlOpen access

An Improved Algorithm for the Approximation of a Cubic Bezier Curve and its Application for Approximating Quadratic Bezier Curve

Aleksas Riškus, Giedrius Liutkus

Abstract

In this paper an improved version of an earlier proposed algorithm for approximating cubic Bezier curve by a set of circular arcs is presented. It is investigated how the improved algorithm fits for approximation of quadratic Bezier curves. These issues occur in CAD/CAM systems during data exchange into data formats which do not support Bezier curves. Experimental results on examples, widely used in the sources enlisted in references, are presented. Two typographical errors, made in the previous article, are corrected. DOI: http://dx.doi.org/10.5755/j01.itc.42.4.1707

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Key concepts: Bézier curve, Quadratic equation, Algorithm, Curve fitting, Mathematics, Set (abstract data type), Data point, Computer science