基于遗传算法的曲线曲面光顺

Smoothing of Curves and Surfaces Based on Genetic Algorithm

以能量和曲率作为双重条件来考察曲线和曲面的光顺性问题 ,应用模糊罚函数将有约束多目标优化问题转化为无约束多目标优化问题 ,采用遗传算法对曲线进行光顺 ,得到了最优解 ;并进一步将该光顺算法推广到曲面的光顺 .

The two conditions,energy and curvature,were used to measure the smoothness of curves and surfaces.The problem of multiobjective optimization with restriction was translated into the form without restriction by fuzzy penalty function.And the curve was smoothed with genetic algorithm.The smoothing algorithm was extended to the smoothing of surfaces.