SURFACE MESH PARAMETERIZATION WITH NATURAL BOUNDARY  

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

出　　处：《Chinese Journal of Mechanical Engineering》2003年第3期264-267,共4页中国机械工程学报（英文版）

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

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.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.

关 键 词：PARAMETERIZATION Convex combination mapping Harmonic mapping Dirichletenergy 

分 类 号：TH126[机械工程—机械设计及理论]