| 基于稳健初值的抗差估计在公共点选取中的应用 |
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| 引用本文： | 肖玉兵,曾凡永,刘毅,郭腾龙. 基于稳健初值的抗差估计在公共点选取中的应用[J]. 水利与建筑工程学报, 2012, 10(2): 108-110 |
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| 作者姓名： | 肖玉兵 曾凡永 刘毅 郭腾龙 |
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| 作者单位： | 1. 江苏省水文水资源勘测局南通分局,江苏南通,226006
2. 河海大学地球科学与工程学院,江苏南京,210098 |
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| 摘 要： | 在坐标转换中,由于环境或人为因素的影响,公共点坐标常含有粗差,导致转换较低。针对传统的最小二乘抗差估计对于较大粗差不够敏感的问题,提出了基于稳健初值的抗差估计法进行处理,并以实测数据为例研究了基于稳健初值的抗差估计的原理与应用。试验结果表明:基于稳健初值的抗差估计在含粗差公共点的定位方面具有较高的可靠性与准确性。
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| 关 键 词： | 坐标转换 粗差探测 抗差估计 L1范数最小法 |
Application of Robust Estimation Based on Robust Initial Value in Selection for Public Points |
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| XIAO Yu-bing,ZENG Fan-yong,LIU Yi,GUO Teng-long. Application of Robust Estimation Based on Robust Initial Value in Selection for Public Points[J]. Journal of Water Resources Architectural Engineering, 2012, 10(2): 108-110 |
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| Authors: | XIAO Yu-bing ZENG Fan-yong LIU Yi GUO Teng-long |
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| Affiliation: | 1.Nantong Branch Office of Jiangsu Province Hydrology and Water Resources Investigation Bureau,Nantong,Jiangsu 226006,China;2.College of Earth Science and Engineering,Hohai University,Nanjing,Jiangsu 210098,China) |
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| Abstract: | In the coordinate transformation,due to environmental or human factors,the public point coordinates would often contain gross errors,leading to lower conversion.As for the issue that traditional least square robust estimation to the gross errors is not sensitive enough,the robust estimation method based on robust initial value is presented here for processing,and the theory and application of the method are studied by using measured data.The results show that the robust estimation based on robust initial value has high reliability and accuracy in the positioning of the public points with gross errors. |
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| Keywords: | coordinate transformation gross error detection robust estimation L1 minimum norm |
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