| 边长变化反演应变参数的总体最小二乘方法 |
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| 引用本文： | 王乐洋,许才军,鲁铁定.边长变化反演应变参数的总体最小二乘方法[J].武汉大学学报(信息科学版),2010(2). |
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| 作者姓名： | 王乐洋 许才军 鲁铁定 |
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| 作者单位： | 武汉大学测绘学院;东华理工大学地测学院; |
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| 基金项目： | 国家863计划资助项目(2009AA12Z317); 国家自然科学基金资助项目(40721001,40874003,40874010,40974017); 国家公益地震行业科研专项基金资助项目(200808080); 中国地震局预测研究所基本科研业务专项基金资助项目(0207690201); 国家教育部高等学校博士点专项基金资助项目(20090141110055) |
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| 摘 要： | 根据总体最小二乘原则,推导了同时顾及边长变化及测线方位角量测误差的应变参数反演的总体最小二乘方法,并给出了精度评定公式。实际算例计算结果分析表明,应用总体最小二乘方法可以得到更合理的应变参数反演结果,特别是参数精度评定方面;对于系数矩阵中含有常数列时,必须将该常数列取出,否则得到的解是错误的。
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| 关 键 词： | 总体最小二乘 应变参数 边长变化 |
Inversion of Strain Parameter Using Distance Changes Based on Total Least Squares |
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| WANG Leyang XU Caijun LU Tieding.Inversion of Strain Parameter Using Distance Changes Based on Total Least Squares[J].Geomatics and Information Science of Wuhan University,2010(2). |
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| Authors: | WANG Leyang XU Caijun LU Tieding |
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| Institution: | WANG Leyang1 XU Caijun1 LU Tieding1,2(1 School of Geodesy , Geomatics,Wuhan University,129 Luoyu Road,Wuhan 430079,China)(2 School of Geoscience , Surveying Engineering,East China Institute of Technology,56 Xuefu Road,Fuzhou 344000,China) |
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| Abstract: | Inversion of parameter based on total least squares(TLS) is investigated.Strain parameters TLS inversion method is deduced,and the errors of distance changes and azimuthal angles are considered.The method of precision evaluation is given.Through the examples,the strain parameters based on total least squares are more reasonable.If there are constant columns in the coefficient matrix,they must be removalled.Otherwise,the obtained parameters are wrong using the TLS.Because the errors are distributed to the co... |
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| Keywords: | total least squares(TLS) strain parameter distance changes |
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