| 加权总体最小二乘在三维基准转换中的应用 |
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| 引用本文： | 袁庆,楼立志,陈玮娴.加权总体最小二乘在三维基准转换中的应用[J].测绘学报,2011(Z1):115-119. |
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| 作者姓名： | 袁庆 楼立志 陈玮娴 |
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| 作者单位： | 同济大学测量与国土信息工程系;国家测绘局现代工程测量重点实验室; |
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| 摘 要： | 对比研究加权总体最小二乘(weighted total least-squares,WTLS)方法和混合最小二乘(LS-TLS)方法、最小二乘(least-squares,LS)方法在三维空间小角度直角坐标转换中的适用性。在两套坐标系下坐标测量值均存在误差时,用WTLS方法不但可以对观测向量y和系数矩阵A同时修改、将坐标先验精度引入平差计算,而且引入的权阵PA对系数阵A起到固定常数元素而只修改必要数据元素的作用,以得到更合适的参数解。
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| 关 键 词： | 三维基准转换 变量中的误差模型 最小二乘 混合最小二乘 加权总体最小二乘 |
The Application of the Weighted Total Least-squares to Three Dimensional—Datum Transformation |
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| YUAN Qing ,LOU Lizhi.,CHEN Weixian.The Application of the Weighted Total Least-squares to Three Dimensional—Datum Transformation[J].Acta Geodaetica et Cartographica Sinica,2011(Z1):115-119. |
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| Authors: | YUAN Qing LOU Lizhi CHEN Weixian |
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| Institution: | YUAN Qing 1,LOU Lizhi1.2,CHEN Weixian1 1.Department of Surveying and Geo-informatics,Tongji University,Shanghai 200092,China,2.Key Laboratory of Modern Engineering Surveying of SBSM |
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| Abstract: | The serviceability of weighted total least-squares method,the LS-TLS method and the least-squares method were compared in the three dimensional small angular region rectangular coordinates transformation.When the coordinate observed value was influenced by the error in both of the coordinate systems,using WTLS method could revise the observation vector y and the coefficient matrix A,introduce the coordinate prior precision to the adjustment computation,and fix the constant element and adjust the data elemen... |
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| Keywords: | three dimensional datum transformation error-in-variables(EIV) least-squares LS-TLS weighted total least-squares |
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