Volume 41 Issue 12
Dec.  2016
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WANG Leyang, YU Hang. Total Least Squares Joint Adjustment[J]. Geomatics and Information Science of Wuhan University, 2016, 41(12): 1683-1689. DOI: 10.13203/j.whugis20140670
Citation: WANG Leyang, YU Hang. Total Least Squares Joint Adjustment[J]. Geomatics and Information Science of Wuhan University, 2016, 41(12): 1683-1689. DOI: 10.13203/j.whugis20140670
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Total Least Squares Joint Adjustment

  • 1.

    Faculty of Geomatics, East China Institute of Technology, Nanchang 330013, China

  • 2.

    Key Laboratory of Watershed Ecology and Geographical Environment Monitoring, NASG, Nanchang 330013, China

  • 3.

    Jiangxi Province Key Lab for Digital Land, Nanchang 330013, China

Funds: The National Natural Science Foundation of China, Nos. 41204003,41664001; Science and Technology Project of the Education Department of Jiangxi Province, Nos. GJJ150595，KJLD12077，KJLD14049; Key Laboratory of Watershed Ecology and Geographical Environment Monitoring, NASG, No. WE2015005; Key Laboratory of Mapping from Space, NASG, No. K201502; National Department Public Benefit Research Foundation (Surveying，Mapping and Geoinformation), No. 201512026; Scientific Research Foundation of ECIT, No. DHBK201113; Support Program for Outstanding Youth Talents in Jiangxi Province; National Key Research and Development Program，No.2016YFB0501405; Innovation Fund Designated for Graduate Students of ECIT, No. DHYC-2015005.
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  • Author Bio:

    WANG Leyang , PhD, associate professor, specializes in geodetic inversion and geodetic data processing. .E-mail:wleyang@163.com

  • Received Date: February 03, 2016
  • Published Date: December 04, 2016
    Graphical Abstract
    • Abstract
  • The Total Least Squares (TLS) method is applied to joint adjustment. An algorithm for total least squares joint adjustment with a weight scaling factor is derived. The weight scaling factor is the key to deal with joint adjustment, and methods for determining the weight scaling factor are discussed. The difference norm between the estimated and true values is used to evaluate the TLS joint adjustment simulation. The influence of different noises on the weight scaling factor is also analyzed for two simulated examples. The results show that the estimated values is related to the weight scaling factor. When priori information is accurate, the prior unit weight variance method performs the best, and when priori information is inaccurate, the minimum discriminate function method and as its discriminate function can achieve effective results.
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    • References (22)
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