| 基于选权迭代的总体最小二乘算法在三维坐标转换中的应用 |
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| 引用本文： | 徐波,高井祥,李增科,刘洋.基于选权迭代的总体最小二乘算法在三维坐标转换中的应用[J].大地测量与地球动力学,2015,35(4):693-696. |
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| 作者姓名： | 徐波 高井祥 李增科 刘洋 |
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| 摘 要： | 提出一种基于选权迭代的TLS算法,通过IGG I函数进行定权,降低含粗差观测值的权值,在进行三维坐标转换时能有效地处理观测值粗差。实例证明,该算法可以获取更高精度的三维坐标转换参数。
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| 关 键 词： | 最小二乘(LS) 总体最小二乘(TLS) 选权迭代 转换参数 |
The Application of the Total Least Squares Algorithm Based on Reweighting Iteration to the Conversion of Three-Dimensional Coordinates |
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| XU Bo,GAO Jingxiang,LI Zengke,LIU Yang.The Application of the Total Least Squares Algorithm Based on Reweighting Iteration to the Conversion of Three-Dimensional Coordinates[J].Journal of Geodesy and Geodynamics,2015,35(4):693-696. |
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| Authors: | XU Bo GAO Jingxiang LI Zengke LIU Yang |
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| Abstract: | Users of the least squares algorithm (LS) coordinate transformation, usually focus on observation errors, but errors of the model coefficient matrix are ignored. Although total least squares algorithm (TLS) could take into account the errors of observations and the coefficient matrix, it cannot
solve the problem of gross errors effectively if we start with coordinate data and observations with gross error. Through the IGG I function, which gives the right of the observation to reduce the weights of the observation with gross errors, this article presents a kind of TLS algorithm based on reweighting iteration. During the three-dimensional coordinate conversion we can deal with the observations of gross errors effectively, and it is proven through example that the TLS algorithm based on reweighting iteration can get a more accurate three-dimensional coordinate conversion parameter |
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| Keywords: | least squares total least squares reweighting iteration conversion parameters |
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