B样条曲线曲面的一种光顺算法  

A kind of fairing method for B-spline curves and surfaces

作　　者：秦贤杰[1] 黄有度[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2012年第3期429-432,共4页Journal of Hefei University of Technology：Natural Science

摘　　要：文章给出了一种新的B样条曲线曲面光顺算法,该算法以型值点的变动量为未知量,以型值点变动量的变动范围为约束条件,给出能量函数;通过遗传算法对能量函数最小化求解,直接得到光顺后的新的型值点;最后给出实例,表明该B样条曲线曲面光顺算法是一种有效的光顺算法。In this paper, a new fairing method for B-spline curves and surfaces is presented. Taking the variation of points as the unknown and the range of the variation as the constraint, this method obtains new faired points after defining the energy function and minimizing the energy function with genetic algorithm. The examples given in the paper show the effectiveness of the method.

关 键 词：B样条 曲面 遗传算法 光顺 能量函数 

分 类 号：TP391.411[自动化与计算机技术—计算机应用技术]