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Particle swarm optimization based degree reduction of rational Bézier curves
基于微粒群算法的有理Bézier曲线降阶

Keywords: rational Bézier curves,degree reduction,optimization,particle swarm optimization,genetic algorithm
有理Bézier曲线
,降阶,优化,微粒群算法,遗传算法,微粒群算法,有理,曲线,降阶,rational,degree,reduction,based,optimization,swarm,Particle,有效性,实验,结果,遗传算法,使用,结合,方法,优化问题,求解,转化

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Abstract:

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.

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