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《Science of Surveying and Mapping》 2015-06
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Reaserch on Ill-conditioned problem in plane coordinate conversion model and its regularization algorithm

YANG Juan;HUANG Shu-ling;DAI Hong-bao;SHI Long-xiang;School of Earth Science and Engineering,Suzhou University;  
The accuracy of coordinate conversion is concerned when people apply mathematical model to transform different coordinate systems.For the ill-conditioned coefficient matrix of normal equation might caused by the correlation of conversion model parameters,the linear conversion model was deduced on the basis of nonlinear plane conversion model.Then,the related conclusions of conversion model parameters,the ill-conditioned problem of coefficient matrix and the regularization algorithm were analyed through an instance.Experimental results showed that the ill-conditioning problem existed in coefficient matrix of normal equation,which was not induced by the correlation of parameters;and the result of parameters based on select weight fitting idea was more accurate than that of least squares.
【Fund】: 安徽省优秀青年人才基金重点项目(2013SQRL085ZD);; 安徽省大学生创新创业训练项目(AH201310379047);; 安徽省高校自然科学研究项目(KJ2013B290)
【CateGory Index】: P226.3
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