标度总体最小二乘在坐标转换中的应用  

Application of Scaled Total Least Squares in Coordinate Transformation

作　　者：吴禹[1] 李明峰[1] 王春[1] 宋文涛[1] 

机构地区：[1]南京工业大学地球空间信息研究中心,江苏南京211800

出　　处：《测绘与空间地理信息》2015年第10期45-47,共3页Geomatics & Spatial Information Technology

基　　金：国家自然科学基金项目(41274009)资助

摘　　要：将顾及观测向量与系数矩阵权比的总体最小二乘法应用于三维坐标转换,阐述了验前单位权方差法和目标函数最小化法确定观测向量与系数矩阵标度的计算步骤,结合算例探讨了两种方法的适用特点,得出了有益的结论。The total least squares method which takes the observation vector and the coefficient matrix weight ratio into count is applied to 3D coordinate transformation. The calculation steps of the prior unit weight variance method and the minimum objective function method for determining the scaling factor of observation vector and coefficient matrix was proposed. The characteristics and practical range of two methods were summarized in the example and some useful conclusions were drawn.

关 键 词：标度总体最小二乘 权比 三维坐标转换 平差 

分 类 号：P207[天文地球—测绘科学与技术]