基于微粒群算法的有理Bézier曲线降阶

从最优化思想出发，把有理Bézier曲线的降阶问题转化为求解优化问题，并基于微粒群算法，给出有理Bézier曲线降阶的一种新方法。该方法可以实现多次降阶，且降阶后的有理Bézier曲线直接以显式给出。最后结合实例，与使用遗传算法进行有理Bézier曲线降阶的结果进行对比，实验结果表明了微粒群算法的有效性。

Particle swarm optimization based degree reduction of rational Bézier curves

By means of optimization methods, degree reduction of rational Bézier curves has been transformed to an optimization problem. Based on Particle Swarm Optimization (PSO) algorithm, a new method was proposed to solve the problem of degree reduction of rational Bézier curves. By using this method, the rational Bézier curves can be reduced many times and the reduced B zier curves can be represented explicitly. The PSO algorithm was compared with genetic algorithm, and the experimental results show that PSO algorithm is more effective.