| 稳健估计下转换参数系数矩阵定向改正的整体最小二乘 |
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| 引用本文： | 陈建营,张献州,陈霄,夏晨翕,罗超.稳健估计下转换参数系数矩阵定向改正的整体最小二乘[J].测绘与空间地理信息,2021,44(4):185-188. |
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| 作者姓名： | 陈建营 张献州 陈霄 夏晨翕 罗超 |
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| 作者单位： | 西南交通大学 地球科学与环境工程学院,四川 成都611756;高速铁路运营安全空间信息技术国家地方联合工程实验室,四川 成都611756 |
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| 摘 要： | 不同空间坐标系在进行坐标转换过程中,利用整体最小二乘(TLS)构建高斯-马尔科夫(Gauss-Markov)模型求解布尔莎-沃尔夫(Bursa-Wolf)七参数模型时,存在已知控制点含有粗差、模型系数阵固定常数参与残差改正的问题。通过对系数矩阵中含误差参数进行改正,并结合稳健估计的方法,对TLS进行迭代定权,解决了已知控制点粗差会对参数计算精度产生影响的问题,同时使得系数矩阵中非常数项得到精确的残差改正。本文通过实验数据证明,此方法可行并且解算精度更优。
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| 关 键 词： | 稳健估计 整体最小二乘 坐标转换 迭代法 |
Total Least Squares of Directional Correction of Robust Estimation Down-conversion Parameter Coefficient Matrix |
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| CHEN Jianying,ZHANG Xianzhou,CHEN Xiao,XIA Chenxi,LUO Chao.Total Least Squares of Directional Correction of Robust Estimation Down-conversion Parameter Coefficient Matrix[J].Geomatics & Spatial Information Technology,2021,44(4):185-188. |
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| Authors: | CHEN Jianying ZHANG Xianzhou CHEN Xiao XIA Chenxi LUO Chao |
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| Institution: | (Faculty of Geosciences and Environmental Engineering,Southwest Jiaotong University,Chengdu 611756,China;State-Province Joint Engineer Laboratory in Spatial Information Technology forHigh-Speed Railway,Chengdu 611756,China) |
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| Abstract: | In the process of coordinate transformation in different spatial coordinate systems,the Gauss-Markov model is constructed by using the total least squares(TLS)to solve the seven-parameter Bursa-Wolf model.There are some problems,such as the known control points containing gross errors and the fixed constant of model coefficient matrix participating in the residual correction.TLS is iteratively weighted by only correcting the error parameters in the coefficient matrix and combined with the robust estimation method.The influence of the known gross errors of control points on the accuracy of parameter calculation is solved.At the same time,the non-constant items in the coefficient matrix are corrected accurately.The experimental data show that this method is feasible and the calculation accuracy is better. |
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| Keywords: | robust estimation total least squares coordinate transformation iteration |
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