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多像空间前方交会的抗差总体最小二乘估计
引用本文:李忠美,边少锋,瞿勇.多像空间前方交会的抗差总体最小二乘估计[J].测绘学报,2017,46(5):593-604.
作者姓名:李忠美  边少锋  瞿勇
作者单位:1. 海军工程大学导航工程系, 湖北 武汉 430033;2. 海军工程大学理学院, 湖北 武汉 430033
基金项目:国家自然科学基金(41631072
摘    要:为充分利用现有观测数据来确定地面点位置,根据立体像对的前方交会原理,通过建立目标点到多条同名射线距离的加权平方和作为目标函数,对其求一阶和二阶导数,得到多像空间前方交会的抗差总体最小二乘估计。相对于立体像对,多张像片的空间前方交会方法可利用更多的观测信息并引入了稳健估计理论,具有更高的交会精度及稳健性能。最后,通过算例验证了该方法的正确性与稳健性,可一定程度上丰富摄影测量空间前方交会理论。

关 键 词:摄影测量  多张像片  前方交会  空间距离  总体最小二乘法  选权迭代法  
收稿时间:2016-02-29
修稿时间:2017-02-22

Robust Total Least Squares Estimation of Space Intersection Appropriate for Multi-images
LI Zhongmei,BIAN Shaofeng,QU Yong.Robust Total Least Squares Estimation of Space Intersection Appropriate for Multi-images[J].Acta Geodaetica et Cartographica Sinica,2017,46(5):593-604.
Authors:LI Zhongmei  BIAN Shaofeng  QU Yong
Institution:1. Department of Navigation, Naval University of Engineering, Wuhan 430033, China;2. College of Science, Naval University of Engineering, Wuhan 430033, China
Abstract:In order to take full advantage of available observation resources,based on theory of space intersection with stereo images,by conducting weighted quadratic sum of spatial distance from the target point to multiple space lines as the objective function and carrying out its first as well as second derivatives,robust total least squares estimation of space intersection appropriate for multi-images was realized.Compared to stereopair,more observed information and theories of robust estimation were considered in the process of space intersection with multi-images,bringing about higher intersection accuracy and robustness.Finally,correctness and robustness of the method was verified though example analysis,which can enrich the space intersection theory in photogrammetry to some degree.
Keywords:photogrammetry  multi-images  space intersection  spatial distance  total least squares method  reweighting iteration method
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