A spherical parameterization approach based on symmetry analysis of triangular meshes  

作　　者：Jian-ping HU Xiu-ping LIU Zhi-xun SU Xi-quan SHI Feng-shan LIU 

机构地区：[1]School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China [2]Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE 19901, USA

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2009年第7期1009-1017,共9页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 60673006 and 60533060);the Program for New Century Excellent Talents in University (No. NCET-05-0275), China;the IDeA Network of Biomedical Research Excellence Grant (No. 5P20RR01647206) from National Institutes of Health (NIH), USA

摘　　要：We present an efficient spherical parameterization approach aimed at simultaneously reducing area and angle dis-tortions. We generate the final spherical mapping by independently establishing two hemisphere parameterizations. The essence of the approach is to reduce spherical parameterization to a planar problem using symmetry analysis of 3D meshes. Experiments and comparisons were undertaken with various non-trivial 3D models, which revealed that our approach is efficient and robust. In particular, our method produces almost isometric parameterizations for the objects close to the sphere.We present an efficient spherical parameterization approach aimed at simultaneously reducing area and angle distortions. We generate the final spherical mapping by independently establishing two hemisphere parameterizations. The essence of the approach is to reduce spherical parameterization to a planar problem using symmetry analysis of 3D meshes. Experiments and comparisons were undertaken with various non-trivial 3D models, which revealed that our approach is efficient and robust. In particular, our method produces almost isometric parameterizations for the objects close to the sphere.

关 键 词：Triangular mesh Spherical parameterization Symmetry analysis 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术] TN253[自动化与计算机技术—计算机科学与技术]