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引用本文:陆珏,陈义,郑波.??????С????????????????????е????[J].大地测量与地球动力学,2008,28(5):77-81.
作者姓名:陆珏  陈义  郑波
作者单位:同济大学测量与国土信息工程系,上海,200092
摘    要:????о???????С???????????С????????????С????????????????е???????????????????????????????У??????????????????μ?????????????????????????????????С???????????????е????????A??????????b??????????????????????????????????????????LS????????????????С??????????????????????????????????

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APPLYING TOTAL LEAST SQUARES TO THREE-DIMENSIONALDATUM TRANSFORMATION
Lu Jue,Chen Yi,Zheng Bo.APPLYING TOTAL LEAST SQUARES TO THREE-DIMENSIONALDATUM TRANSFORMATION[J].Journal of Geodesy and Geodynamics,2008,28(5):77-81.
Authors:Lu Jue  Chen Yi  Zheng Bo
Institution:The Department of Surveying and Geo-informatics Engineering, Tongji University, Shanghai 200092
Abstract:Through the comparative research on applicability and superiority of Total Least Squares(TLS) and least squares in the space rectangular coordinates tranformation with 3-D small angles,it is found that in this kind of 3-D coordinate transformation because there are observational errors of the point coordinate in both the previous and new coordinate systems,if the coefficient matrix A and observed vector b of the error equation are corrected simulaneously with the TLS,thus more reasonable computation model can built out.The calculated example has proved that the more accurate coordinate transformation parameter solution can be given with TLS as compared with the LS.
Keywords:Total Least Squares(TLS)  datum transformation  least squares  LS-TLS  variables
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