AN IMPROVED WEIGHTED TOTAL LEAST SQUARES ALGORITHM
Yang Shiping 1) ; Fan Dongming 1) ; and Long Yuchun 2)
1)Faculty of Geoscience and Environmental Engineering, Southwest Jiaotong University, Chengdu 610031;2)Chongqing Hechuan Longshi Middle School, Hechuan 401564
Abstract In connection with the problem of EIV model’s coefficient matrix containing repetitive elements, The author improves the available weighted total least squares method through making the repeat element’s correction equal,taking into account the correlation between the elements of coefficient matrix, Then, the improved method is applied to the linear fitting, to solve the small rotation angle of 3D datum transformation model.The examples show that, compared with toprevious parameter estimation methods, the improved weighted total least squares (IWTLS ) method can obtation a more rational residual matrix of coefficient matrix.
Key words ：
EIV model
improved weighted total least squares method
linear fitting
three dimensional small rotation angle datum transformation
coefficient matrix
Received: 01 January 1900
Corresponding Authors:
Yang Shiping
Cite this article:
Yang Shiping ,Fan Dongming ,and Long Yuchun . AN IMPROVED WEIGHTED TOTAL LEAST SQUARES ALGORITHM[J]. , 2013, 33(1): 48-52.
Yang Shiping ,Fan Dongming ,and Long Yuchun . AN IMPROVED WEIGHTED TOTAL LEAST SQUARES ALGORITHM[J]. jgg, 2013, 33(1): 48-52.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2013/V33/I1/48
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