基于微粒群算法的NURBS曲线降阶

Degree Reduction of NURBS Curves by Particle Swarm Optimization algorithm

从最优化思想出发,把NURBS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NURBS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NURBS曲线直接以显式给出.

By means of optimization methods, degree reduction of NURBS 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 NURBS curves. By using this method, the NURBS curves can be reduced many times and the reduced NURBS curves can be represented explicitly.