An Approach to the Approximation of Rational Bézier Curve

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.