虚拟观测值法在三维坐标转换中的应用研究  

On 3D Coordinate Transformations with Virtual Observation Method

作　　者：魏二虎[1,2] 殷志祥[1] 李广文[1] 李智强[1] 

机构地区：[1]武汉大学测绘学院,湖北武汉430079 [2]武汉大学地球空间环境与大地测量教育部重点实验室,湖北武汉430079

出　　处：《武汉大学学报（信息科学版）》2014年第2期152-156,共5页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(41374012);国家863计划资助项目(2008AA12Z308)~~

摘　　要：针对整体最小二乘(TLS)已有算法的缺陷,提出利用虚拟观测值法将其转化为经典最小二乘(LS),并推导了适用于三维坐标转换的矩阵矢量化公式,实现了TLS与LS的统一。通过算例证明了此方法在三维坐标转换中可以得到更为合理的解算数据。Responding to the disadvantages existing in the total least squares algorithm （TLS）, the virtual observation method is employed to transform the TLS into a classical least squares algorithm （LS）. Then, a matrix vectorization formula suitable for three-dimensional coordinate transformation is deduced. In this way, unification of LS and TLS is realized. As compared to other algorithms, this method has a stricter theory and simpler calculation process. A numerical test proves that a more reasonable transformation result can be obtained by using this method.

关 键 词：整体最小二乘 虚拟观测值法 坐标转换 误差模型中图法 

分 类 号：P207.2[天文地球—测绘科学与技术]