Fast Generation of Bézier Curves and Anti-Aliasing

Abstract

This paper introduces a fast rational Bézier curve generation method and an efficient antialiasing method. Spline, B-spline, Bézier, rational Bézier and conic curves are often used for object representation. They can all be transformed into rational Bézier curves. All parametric curves can be expressed by implicit equations. The error difference functions introduced here are used to generate curves. Calculation is very fast and simple, and is performed mainly by adding and shifting without multiplication. The anti-aliasing method is used to prevent jaggy. Computer simulation confirmed the effectiveness of our methods.