Tool path planning based on conformal parameterization for meshes

作     者：Zhao Jibin Zou Qiang Li Lun Zhou Bo 

作者机构：Shenyang Institute of Automation Chinese Academy of Sciences University of Chinese Academy of Sciences 

出 版 物：《Chinese Journal of Aeronautics》 (中国航空学报（英文版）)

年 卷 期：2015年第28卷第5期

页      面：1555-1563页

核心收录：

学科分类：080202[工学-机械电子工程] 08[工学] 0802[工学-机械工程] 

基　　金：supported by the National Program on Key Basic Research Project of China (No. 2011CB302400) the National Natural Science Foundation of China (No. 51175495) 

主　　题：Conformal parameterization Error analysis Local similarity:Tool path Triangular mesh 

摘      要：The similarity property of conformal parameterization makes it able to locally preserve the shapes between a surface and its parameter domain, as opposed to common parameterization methods. A parametric tool path planning method is proposed in this paper through such parameterization of triangular meshes which is furthermore based on the geodesic on meshes. The parameterization has the properties of local similarity and free boundary which are exploited to simplify the formulas for computing path parameters, which play a fundamentally important role in tool path planning, and keep the path boundary-conformed and smooth. Experimental results are given to illustrate the effectiveness of the proposed methods, as well as the error analysis.