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Review on Total Least Squares Methods and Applications in Surveying
Author(s): 
Pages: 1-12
Year: Issue:  4
Journal: Journal of Shandong University of Science and Technology(Natural Science)

Keyword:  total least squareserror-in-variable modelcoefficient matrixsingular value decompositiondata processing;
Abstract: In recent 30 years,the total least squares(TLS)method,anew method for surveying dataprocessing,has been widely applied in telecommunications,geodesy,photogrammetry and image processing.According to the basic theory of TLS,the solutions based on the singular value decomposition and the Lagrange approach were analyzed.Methods to solve the weighted TLS,mixed TLS,the TLS with constraints,and the ill-posed TLS were summarized.Finally,the applications of TLS in surveying were expounded in detail,and the survey dataprocessing theory was complemented.
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