改进的CGLS迭代正则化法在内插平面坐标转换中的应用  

Application of Improved CGLS Iterative Regularization Algorithm in Interpolation Algorithm Plane Coordinate Conversion

作　　者：倪飞 申佳 NI Fei;SHEN Jia(Department of Naval Architecture and Ocean Engineering,Nantong Shipping College,Nantong 226010,China)

机构地区：[1]南通航运职业技术学院船舶与海洋工程系,江苏南通226010

出　　处：《测绘与空间地理信息》2019年第2期44-45,49,共3页Geomatics & Spatial Information Technology

基　　金：江苏省高校优秀科技团队项目(2017049);2017年江苏省高等学校大学生创新创业训练计划项目(201712703005Y);2014年度南通市社会事业科技创新与示范计划项目(HS2014017)资助

摘　　要：内插算法用于测量平面坐标转换时,经常会遇到因矩阵的病态导致坐标转换精度差、甚至转换失败的问题。文章基于改进的CGLS迭代正则化算法进行抗病态研究。算例研究表明,改进后的算法能够很好地消除病态矩阵影响,获得相对较高精度的转换坐标。The problem of poor conversion accuracy and Conversion failure are caused by the pathological matrix in the interpolation algorithm plane coordinate conversion.In this paper,the improved CGLS iterative regularization algorithm is used to resisting morbid matrix.Numerical example shows that the improved CGLS iterative regularization algorithm can resist the impact of morbid matrix so as that obtain the relatively accurate conversion coordinates.

关 键 词：内插 最小二乘法 CGLS 

分 类 号：P209[天文地球—测绘科学与技术]