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.
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.