摘要
提出3D U系统矩的定义,并将其应用于3D模型检索.作为一种可选定次数的完备正交多项式系统,U系统所定义的矩具有标准正交性、收敛性等优良性质.根据U系统理论实现了U1系统矩的高阶的快速计算,可以定义任意维数的特征空间.实验结果表明,3D U1系统矩优于几何矩和Zernike矩,具有更高的检索效率.
The 3D U system moment is defined and is orthogonal polynomial system, U system has many good used for 3D model retrieval. As a kind of complete properties such as orthogonality and convergence. According to U system theory, the fast calculation of U1 system moments is established. Extensive experiments show that the U system moment is of higher discriminating power.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2006年第8期1111-1116,共6页
Journal of Computer-Aided Design & Computer Graphics
基金
国家"八六三"高技术研究发展计划(2001AA231031)
国家重点基础研究发展规划项目(2004CB318000)
关键词
U系统矩
3D模型检索
正交多项式
U system moment
3D model retrieval
orthogonal polynomial