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引用本文:陆珏,陈义,郑波.??????????????????????????????С??????????[J].大地测量与地球动力学,2012,32(6):129-134.
作者姓名:陆珏  陈义  郑波
作者单位:1. 同济大学测绘与地理信息学院,上海,200092
2. 同济大学测绘与地理信息学院,上海200092;现代工程测量国家测绘局重点实验室,上海200092
3. 上海市地籍事务中心,上海,200003
基金项目:国家自然科学基金(41074017);上海市自然科学基金(09ZR1433100)
摘    要:????????????????????????????????С?????WTLS??????????????С?????CTLS????????????????????δ???????????????????????????????????????????????????????????????????????????????????WTLS??CTLS???????м???????????????????????????????÷???????Ч?????????????????????????

关 键 词:???????  ????????  ?????????  ?????????С????  ???????????С????  

PERFORMING NONLINEAR 3D DATUM TRANSFORMATION USING WTLS AND CTLS METHOD
Lu Jue,Chen Yi,and Zheng Bo.PERFORMING NONLINEAR 3D DATUM TRANSFORMATION USING WTLS AND CTLS METHOD[J].Journal of Geodesy and Geodynamics,2012,32(6):129-134.
Authors:Lu Jue  Chen Yi  and Zheng Bo
Institution:1)College of Surveying and Geo-informatics,Tongji University,Shanghai 2000922)Key Lab.of Advanced Surveying Engineering of State Bureau of Surveying and Mapping,Shanghai 2000923)Shanghai Cadastre Management Center,Shanghai 200003
Abstract:This paper describes a simplified model of three dimensional 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.
Keywords:big rotation angle  orthogonal matrix  three dimensional datum transformation  Weighted Total Least Squares (WTLS)  Constrained Total Least Squares (CTLS)
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