SURFACE MESH PARAMETERIZATION WITH NATURAL BOUNDARY

作     者：Ye MingZhu XiaofengWang ChengtaoSchool of Mechanical Engineering,Shanghai Jiaotong University,Shanghai 200030, China 

作者机构：School of Mechanical Engineering Shanghai Jiaotong University 上海 200030 

出 版 物：《Chinese Journal of Mechanical Engineering》 (中国机械工程学报（英文版）)

年 卷 期：2003年第16卷第3期

页      面：264-267页

核心收录：

学科分类：0817[工学-化学工程与技术] 08[工学] 0807[工学-动力工程及工程热物理] 080203[工学-机械设计及理论] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0801[工学-力学（可授工学、理学学位）] 

基　　金：This project is supported by National Natural Science Foundation of China (No.59789502) 

主　　题：Parameterization Convex combination mapping Harmonic mapping Dirichletenergy 

摘      要：Using the projected curve of surface mesh boundary as parameter domainborder, linear mapping parameterization with natural boundary is realized. A fast algorithm forleast squares fitting plane of vertices in the mesh boundary is proposed. After the mesh boundary isprojected onto the fitting plane, low-pass filtering is adopted to eliminate crossovers, sharpcorners and cavities in the projected curve and convert it into an eligible convex parameter domainboundary. In order to facilitate quantitative evaluations of parameterization schemes, threedistortion-measuring formulae are presented.