An Approach to the Approximation of Rational Bézier Curve

Abstract

Based on the works of scan conversion of B'ezier curve, it has been proved that using degree elevation with Bresenham's line algorithm to construct a B'ezier curve is the fastest way. In this paper this idea has been applied to construct a rational B'ezier curve by converting rational B'ezier control points into non-rational B'ezier control points. Then use the degree elevation technique to construct the curve. This method is proven to be faster than any existing methods for rendering rational B'ezier curve e.g. rational Bernstein basis function. Moreover, the scan conversion used in this method makes it suitable for raster display devices.