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正交样条矩与三维模型检索
引用本文:刘玉杰,张晓冬,李华.正交样条矩与三维模型检索[J].计算机辅助设计与图形学学报,2009,21(7).
作者姓名:刘玉杰  张晓冬  李华
作者单位:1. 中国石油大学(华东)计算机与通信工程学院,东营,257062
2. 中国科学院计算技术研究所,国家智能计算机研究开发中心,北京,100190
基金项目:国家重点基础研究发展规划(973计划),国家自然科学基金 
摘    要:提出三维正交样条矩的定义,并将其应用于三维模型检索.作为一种正交多项式函数系,正交样条函数结合球面调和函数所定义的矩具有正交性等优良性质.样条函数的局部性对于突出模型的局部特征有较好的效果.实验结果表明,三维正交样条矩优于三维小波矩,具有更高的检索效率.

关 键 词:样条  三维模型检索  正交多项式  正交样条矩

3D Orthogonal Spline Moments and 3D Model Retrieval
Liu Yujie,Zhang Xiaodong,Li Hua.3D Orthogonal Spline Moments and 3D Model Retrieval[J].Journal of Computer-Aided Design & Computer Graphics,2009,21(7).
Authors:Liu Yujie  Zhang Xiaodong  Li Hua
Affiliation:School of Computer Science and Communication Engineering;China University of Petroleum;Dongying 257062;National Research Center for Intelligent Computing Systems;Institute of Computing Technology;Chinese Academy of Sciences;Beijing 100190
Abstract:3D orthogonal spline moments are defined,and used for 3D model retrieval.As a kind of orthogonal polynomials system,orthogonal spline function has many good properties such as orthogonality and locality.So orthogonal spline moments can adequately express the local property of model.Extensive experiments show that the 3D orthogonal spline moments are of higher discriminating power.
Keywords:spline  3D model retrieval  orthogonal polynomials  orthogonal spline moments
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