三维U系统矩与三维模型检索

3D U System Moment and 3D Model Retrieval

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.