基于改进的向后-向前选择法粗差定位与估值算法
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摘要
对传统的向后-向前选择法粗差定位方法进行改进,即在原有基础上加入对平差模型的整体检验,计算统计量的相关系数,通过对偏相关系数的检验来定位统计量相关的粗差观测值。通过模拟粗差算例证明,该算法能够准确定位多维粗差,有效改善粗差定位转移的现象,且粗差估值结果比较可靠。
In this paper, the traditional backward-forward selection method of gross error locating method is improved: testing the overall adjustment model, calculating the statistic correlation coefficient and using the partial correlation coefficient test are added to locate the statistics related to the gross error observation values. The simulation results show that this algorithm can accurately locate the multidimensional gross errors, effectively improve the gross errors location and transfer, and the estimation results of gross errors are reliable.
In this paper, the traditional backward-forward selection method of gross error locating method is improved: testing the overall adjustment model, calculating the statistic correlation coefficient and using the partial correlation coefficient test are added to locate the statistics related to the gross error observation values. The simulation results show that this algorithm can accurately locate the multidimensional gross errors, effectively improve the gross errors location and transfer, and the estimation results of gross errors are reliable.
引文
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[9] 刘宸,刘长建,王赛,等.两种新的IGGⅢ改进方案[J].测绘通报,2016(10):54-57( Liu Chen,Liu Changjian,Wang Sai,et al.Two New Improvements of IGGⅢ Scheme[J].Bulletin of Surveying and Mapping,2016(10):54-57)
[10] 武汉大学测绘学院测量平差学科组.误差理论与测量平差基础[M].武汉:武汉大学出版社,2014(Survey Adjustment Group in School of Geodesy and Geomatics of Wuhan University.Error Theory and Foundation of Surveying Adjustment[M].Wuhan:Wuhan University Press,2014)
[11] 陶本藻,姚宜斌,施闯.基于相关分析的粗差可区分性[J].武汉大学学报:信息科学版,2004 (10):881-884(Tao Benzao,Yao Yibin,Shi Chuang.Distinguishability of Outlier Based on Correlative Analysis[J].Geomatics and Information Science of Wuhan University,2004 (10):881- 884)
[12] 葛永慧.再生权最小二乘法稳健估计[M].北京:科学出版社,2015(Ge Yonghui.Research on Self-Born Weighted Least Squares Method[M].Beijing:Science Press,2015)
[13] 王爱生,欧吉坤.部分最小二乘平差方法及在粗差定值与定位中的应用[J].测绘科学,2005 (2):70-72 (Wang Aisheng,Ou Jikun.Method of Partly Least Squares and Application in Gross Error Location and Estimation[J].Science of Surveying and Mapping,2005(2):70-72)
[14] 陈振杰,蒋辉.粗差定位定值方法在EDM三角高程测量数据处理中的应用[J].江苏测绘,2002(1):3-6(Chen Zhenjie,Jiang Hui.The Application of Locating and Estimating of Gross Error in DEM Trigonometric Leveling[J].Jiangsu Surveying and Mapping,2002(1):3-6)
[2] 施闯,刘经南.基于相关分析的粗差理论[J].武汉测绘科技大学学报,1998(1):7-11(Shi Chuang,Liu Jingnan.Correspondence Based Outlier Analysis[J].Journal of Wuhan Technical University of Surveying and Mapping,1998(1):7-11)
[3] 陈玮娴,袁庆.抗差总体最小二乘方法[J].大地测量与地球动力学,2012,32(6):111-113(Chen Weixian,Yuan Qing.A Robust Total Least-Squares Method[J].Journal of Geodesy and Geodynamics,2012,32 (6):111-113)
[4] 王建民,张锦,苏巧梅.观测数据中的粗差定位与定值算法[J].武汉大学学报:信息科学版,2013,38(10):1 225-1 228(Wang Jianmin,Zhang Jin,Su Qiaomei.Algorithm for Location and Evaluation of Gross Errors in Surveying Data[J].Geomatics and Information Science of Wuhan University,2013,38 (10):1 225-1 228)
[5] 刘陶胜,黄声享,李沛鸿.基于双极差的粗差探测方法研究[J].大地测量与地球动力学,2012,32(1):80-83(Liu Taosheng,Huang Shengxiang,Li Peihong.Research on Gross Error Detection Based on Bio-Pole Method[J].Journal of Geodesy and Geodynamics,2012,32(1):80- 83)
[6] 金丽宏,汪耀,崔太岷,等.基于均值漂移模型的粗差定值定位[J].测绘科学,2017,42(8):19-23(Jin Lihong,Wang Yao,Cui Taimin,et al.The Location and Evaluation of Gross Error Based on the Mean Shift Model [J].Science of Surveying and Mapping,2017,42(8):19-23)
[7] 吴祖海,罗伟钊,李军.坐标转换中公共点粗差定位与降低粗差点影响方法研究[J].大地测量与地球动力学,2014,34(1):118-122(Wu Zuhai,Luo Weizhao,Li Jun.On Position of Gross Errors of Common Points in Coordinate Transformation and Reducing Influence of Gross Errors[J].Journal of Geodesy and Geodynamics,2014,34(1):118-122)
[8] 杨元喜,吴富梅.临界值可变的抗差估计等价权函数[J].测绘科学技术学报,2006(5):317- 320 (Yang Yuanxi,Wu Fumei.Modified Equivalent Weight Function with Variable Criterion for Robust Estimation[J].Journal of Geomatics Science and Technology,2006(5):317- 320)
[9] 刘宸,刘长建,王赛,等.两种新的IGGⅢ改进方案[J].测绘通报,2016(10):54-57( Liu Chen,Liu Changjian,Wang Sai,et al.Two New Improvements of IGGⅢ Scheme[J].Bulletin of Surveying and Mapping,2016(10):54-57)
[10] 武汉大学测绘学院测量平差学科组.误差理论与测量平差基础[M].武汉:武汉大学出版社,2014(Survey Adjustment Group in School of Geodesy and Geomatics of Wuhan University.Error Theory and Foundation of Surveying Adjustment[M].Wuhan:Wuhan University Press,2014)
[11] 陶本藻,姚宜斌,施闯.基于相关分析的粗差可区分性[J].武汉大学学报:信息科学版,2004 (10):881-884(Tao Benzao,Yao Yibin,Shi Chuang.Distinguishability of Outlier Based on Correlative Analysis[J].Geomatics and Information Science of Wuhan University,2004 (10):881- 884)
[12] 葛永慧.再生权最小二乘法稳健估计[M].北京:科学出版社,2015(Ge Yonghui.Research on Self-Born Weighted Least Squares Method[M].Beijing:Science Press,2015)
[13] 王爱生,欧吉坤.部分最小二乘平差方法及在粗差定值与定位中的应用[J].测绘科学,2005 (2):70-72 (Wang Aisheng,Ou Jikun.Method of Partly Least Squares and Application in Gross Error Location and Estimation[J].Science of Surveying and Mapping,2005(2):70-72)
[14] 陈振杰,蒋辉.粗差定位定值方法在EDM三角高程测量数据处理中的应用[J].江苏测绘,2002(1):3-6(Chen Zhenjie,Jiang Hui.The Application of Locating and Estimating of Gross Error in DEM Trigonometric Leveling[J].Jiangsu Surveying and Mapping,2002(1):3-6)