为了得到更合理的用于旋转归一化的主轴,综合利用三维模型的顶点位置和法线方向两种表面特性,提出一种用最大法线分布方向修正CPCA主轴的MNCPCA方法(maximum normal corrected PCA).为了增强算法的鲁棒性,首先借助一组法线参考方向来统...为了得到更合理的用于旋转归一化的主轴,综合利用三维模型的顶点位置和法线方向两种表面特性,提出一种用最大法线分布方向修正CPCA主轴的MNCPCA方法(maximum normal corrected PCA).为了增强算法的鲁棒性,首先借助一组法线参考方向来统计三维模型的法向分布直方图,避免了计算误差和错误法向的影响,再依据该直方图分析模型是否具有显著的最大法线分布方向.进而,在此基础上给出CPCA主轴的修正策略.实验结果表明,与CPCA方法相比,MNCPCA方法得到的主轴更符合人的认知习惯.展开更多
The bound state solutions of the Klein-Gordon equation with the rotating Deng-Fan molecular potential are presented by using a proper approximation to the centrifugal term within the framework of equal scalar and vect...The bound state solutions of the Klein-Gordon equation with the rotating Deng-Fan molecular potential are presented by using a proper approximation to the centrifugal term within the framework of equal scalar and vector Deng-Fan potentials. It is shown that the solutions can be expressed by the generalized hypergeometric functions. The normalized wavefunctions are also derived.展开更多
文摘为了得到更合理的用于旋转归一化的主轴,综合利用三维模型的顶点位置和法线方向两种表面特性,提出一种用最大法线分布方向修正CPCA主轴的MNCPCA方法(maximum normal corrected PCA).为了增强算法的鲁棒性,首先借助一组法线参考方向来统计三维模型的法向分布直方图,避免了计算误差和错误法向的影响,再依据该直方图分析模型是否具有显著的最大法线分布方向.进而,在此基础上给出CPCA主轴的修正策略.实验结果表明,与CPCA方法相比,MNCPCA方法得到的主轴更符合人的认知习惯.
基金Supported partly by Projects 20110491-SIP-IPN and COFAA-IPN,Mexico
文摘The bound state solutions of the Klein-Gordon equation with the rotating Deng-Fan molecular potential are presented by using a proper approximation to the centrifugal term within the framework of equal scalar and vector Deng-Fan potentials. It is shown that the solutions can be expressed by the generalized hypergeometric functions. The normalized wavefunctions are also derived.