基于质心Voronoi结构的自由曲面布点策略  

Sculptured surface point distribution strategy based on centroidal Voronoi tesssellation

作　　者：宋占杰[1,2] 张美[1,2] 何改云[3] 刘佩佩[3] 

机构地区：[1]天津大学理学院,天津300072 [2]天津大学电视与图像信息研究所,天津300072 [3]天津大学装备设计与制造技术天津市重点实验室,天津300072

出　　处：《吉林大学学报（工学版）》2013年第1期34-38,共5页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(50975200)

摘　　要：借鉴已有质心Voronoi结构网格规划的技巧,将自由曲线曲面的曲率函数作为生成质心Voronoi结构中的密度函数,并以成本函数收敛性作为算法结束的准则,提出了一种新的基于质心Voronoi结构的采样方法。采用本文方法实现了采样点的自适应分布,并通过仿真实验与传统采样方法进行了对比验证,结果表明,本文方法相对于一般自由曲面来讲是稳定的、高效的。Referring to the existed skill of centroidal Voronoi tessellation （CVT） generation, the curvature function of surface was studied and modified to satisfy the demand of the density function of CVT, and the convergence of cost function was regarded as the end criterion of algorithm, a new sampling meth realized by th sampling meth ones, and it is od was proposed based on CVT. The adaptive distribution of the sampling points was e proposed method. The method was comparatively validated with the traditiona ods by simulation tests. The results show that the method is better than the traditiona stable and efficient for the common sculptured surface.

关 键 词：机械制造工艺与设备 自适应布点 质心Voronoi结构 自由曲线曲面曲率 

分 类 号：TH161[机械工程—机械制造及自动化]