Spectral Distance Distributions for Non-rigid Objects  

作　　者：CAO Wei-guo Li Hai-yang LI Shi-rui LIU Yu-jie LI Hua 

机构地区：[1]Key Laboratory of Intelligent Information Processing,Institute of Computing Technology Chinese Academy of Sciences, Beijing 100190, China [2]University of Chinese Academy of Sciences, Beijing 100049, China [3]School of Computer Science and Communication Engineering, China University of Petroleum, Qingdao 266555, China.

出　　处：《Computer Aided Drafting,Design and Manufacturing》2013年第2期17-24,共8页计算机辅助绘图设计与制造（英文版）

基　　金：Partly Supported by NKBRPC(2004CB318006);NNSFC(60873164 and 60533090)

摘　　要：Non-rigid shape deformation without tearing or stretching is called isometry. There are many difficulties to research non-rigid shape in Euclidean space. Therefore, non-rigid shapes are firstly embedded into a none-Euclidean space. Spectral space is chosen in this paper. Then three descriptors are proposed based on three spectral distances. The existence of zero-eigenvalue has negative effects on computation of spectral distance, Therefore the spectral distance should be computed from the first non-zcro-eigenvalue. Experiments show that spectral distance distributions are very effective to describe the non-rigid shapes.Non-rigid shape deformation without tearing or stretching is called isometry. There are many difficulties to research non-rigid shape in Euclidean space. Therefore, non-rigid shapes are firstly embedded into a none-Euclidean space. Spectral space is chosen in this paper. Then three descriptors are proposed based on three spectral distances. The existence of zero-eigenvalue has negative effects on computation of spectral distance, Therefore the spectral distance should be computed from the first non-zcro-eigenvalue. Experiments show that spectral distance distributions are very effective to describe the non-rigid shapes.

关 键 词：NON-RIGID shape analysis pattern recognization ISOMETRY Laplace-Beltrami operator SPECTRUM 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]