SOLVING COORDINATE TRANSFORMATION PARAMETERS BASED ON TOTAL LEASTSQUARES REGRESSION
Kong Jian;Yao Yibin ;and Xu Shuang’an
School of Geodesy and Geomatics of Wuhan University ，Wuhan 430079
Abstract On the basis of the mathematical meaning of the overall leastsquares,through transformating conditional extremum to direct extremum, the formulas of solving transformation parameters by overall leastsquares regression are derived and the nonlinear problem in parameters estimation is solved with the parameter transformation method to avoid the issue of linearization. The feasibility of this new algorithm is verified by measurement data and the problem of theory defect in traditional method was solved. Futher more in order to meet the different conversion models used in different regions, the parameter estimation formula for affine transformation mode is derived.
Key words ：
total leastsquare
coordinate transformation
affine transformation
solving the nonlinear equation
similarity transformation
Received: 01 January 1900
Corresponding Authors:
Kong Jian
Cite this article:
Kong Jian,Yao Yibin,and Xu Shuang’an. SOLVING COORDINATE TRANSFORMATION PARAMETERS BASED ON TOTAL LEASTSQUARES REGRESSION[J]. , 2010, 30(第3期): 74-78.
Kong Jian,Yao Yibin,and Xu Shuang’an. SOLVING COORDINATE TRANSFORMATION PARAMETERS BASED ON TOTAL LEASTSQUARES REGRESSION[J]. jgg, 2010, 30(第3期): 74-78.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2010/V30/I第3期/74
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