含有球面调和函数的大尺度线性方程组的数值解法  

Numerical Solutions to Large-Scale Linear System Containing Spherical Harmonics

作　　者：马元魁[1] 

机构地区：[1]西安工业大学理学院,西安710021

出　　处：《西安工业大学学报》2014年第7期533-537,共5页Journal of Xi’an Technological University

基　　金：国家自然科学基金项目(11201275);陕西省教育厅自然科学专项基金项目(2013JK0590)

摘　　要：针对标准的最小二乘拟合方法计算球面调和展开时延展性差且计算大尺度线性方程组时精度低的问题,文中给出一个迭代残量拟合算法,用来求解含有实值球面调和函数的大尺度线性方程组,能够精确地生成大尺度3D曲面的球面调和模型.算法易于实现,对硬件要求低.The standard least square fitting （LSF） method for spherical harmonics expansion is not scalable and cannot accurately solve the large-scale linear systems .An iterative residual fitting （IRF ） algorithm is proposed for the large-scale linear systems containing spherical harmonics ,with its effectiveness and scalability demonstrated in creating accurate SH models for large 3D surfaces .IRF is very easy to implement and requires few machine resources .

关 键 词：球面调和函数 线性方程组 迭代 残量 拟合 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]