G2- Approximation of Parabolic Arcs

Abstract

The G2- approximation is used to approximate the parabolic arcs by C-Bézier curve. The four control points of C-Bézier curve are calculated with the help of G2- constraints. Moreover, the maximum values of the absolute error of the horizontal and vertical parabolic arcs are 4.5982 × 10-4 and 3.0655 × 10-4 respectively.