Robust estimation of geodetic datum transformation
Robust estimation of geodetic datum transformation
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DOI：
10.1007/s001900050243
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发表时间：
1999-06-01
影响因子：
4.4
通讯作者：
Yang, Y
中科院分区：
文献类型：
--
作者：
Yang, Y
讨论了大地基准转换的稳健估计。介绍了稳健估计的基本原理。给出了稳健估计量以及最小二乘估计量的误差影响函数。特别关注了转换参数的稳健初始估计，为了给后续估计提供可靠的残差，它应具有较高的崩溃点。由于中位数法具有最高的崩溃点，所以将其应用于求解转换参数的稳健初始估计。然后在连续迭代计算中使用平滑权重函数来提高参数估计的效率。给出了一个全球定位系统网与中国相应大地网之间基准转换的数值例子。结果表明，当坐标受到异常值污染时，所提出的方法仍然能够给出合理的结果。
The robust estimation of geodetic datum transformation is discussed. The basic principle of robust estimation is introduced. The error influence functions of the robust estimators, together with those of least-squares estimators, are given. Particular attention is given to the robust initial estimates of the transformation parameters, which should have a high breakdown point in order to provide reliable residuals for the following estimation. The median method is applied to solve for robust initial estimates of transformation parameters since it has the highest breakdown point. A smooth weight function is then used to improve the efficiency of the parameter estimates in successive iterative computations. A numerical example is given on a datum transformation between a global positioning system network and the corresponding geodetic network in China. The results show that when the coordinates are contaminated by outliers, the proposed method can still give reasonable results.