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《Science of Surveying and Mapping》 2019-01
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Improved constrained total least square method

LIU Xuelong;YANG Yanqing;WANG You;GU Huanjie;The First Monitoring and Application Center,CEA;  
In view of the limitations of the traditional constrained least-squares(CLS)model and the total least-squares(TLS)model,this paper presented an improved constrained total least-squares(ICTLS)method.we assumed that the coefficient matrix of constraint equations in the constrained total least-squares problem was also contaminated by error.So we seted up generalized Lagrange function of above adjustment model and then used iterative least-squares method for solving nonlinear normal equations to get GaussNewton iterative formula.The algorithm used a closer adjustment model to the reality,which could get the parameters evaluation closer to the true value,and the accuracy of the adjustment model was closer to the noise level of the simulated data.The experimental results showed that the ICTLS method was feasible for data processing which required parameter constraints.
【Fund】: 科技基础性工作专项重点项目(2015FY210401-2)
【CateGory Index】: P207.2
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