PERFORMING NONLINEAR 3D DATUM TRANSFORMATION USING WTLS AND CTLS METHOD
Lu Jue 1) ;Chen Yi 1,2) ; and Zheng Bo 3)
1)College of Surveying and Geoinformatics,Tongji University, Shanghai 200092;2)Key Lab. of Advanced Surveying Engineering of State Bureau of Surveying and Mapping, Shanghai 200092;3)Shanghai Cadastre Management Center,Shanghai 200003
Abstract This paper describes a simplified model of threedimensional datum transformation, which uses the direction cosines instead of rotation angles as parameters to be estimated. The Weighted Total Least Squares(WTLS) solution and Constrained Total Least Squares(TLS) solution are preferable to estimate the parameters when errors exist both in the observation vector and the coefficient matrix. Finally, the simulation and real experiments are investigated to verify that the coordinate transformation method described in this paper is effective. Compared with Least Squares solution, the result of Total Least Squares solution is more accurate.
