姚宜斌, 黄书华, 张良, 胡羽丰, 李国平. 求解三维坐标转换参数的整体最小二乘新方法 ![J]. 武汉大学学报 ( 信息科学版), 2015, 40(7): 853-857. DOI: 10.13203/j.whugis20130302
引用本文: 姚宜斌, 黄书华, 张良, 胡羽丰, 李国平. 求解三维坐标转换参数的整体最小二乘新方法 ![J]. 武汉大学学报 ( 信息科学版), 2015, 40(7): 853-857. DOI: 10.13203/j.whugis20130302
YAO Yibin, HUANG Shuhua, ZHANG Liang, HU Yufeng, LI Guoping. A New Method of TLS for Solving the Parameters of Three-dimensional Coordinate Transformation[J]. Geomatics and Information Science of Wuhan University, 2015, 40(7): 853-857. DOI: 10.13203/j.whugis20130302
Citation: YAO Yibin, HUANG Shuhua, ZHANG Liang, HU Yufeng, LI Guoping. A New Method of TLS for Solving the Parameters of Three-dimensional Coordinate Transformation[J]. Geomatics and Information Science of Wuhan University, 2015, 40(7): 853-857. DOI: 10.13203/j.whugis20130302

求解三维坐标转换参数的整体最小二乘新方法 !

A New Method of TLS for Solving the Parameters of Three-dimensional Coordinate Transformation

  • 摘要: 针对求解三维坐标转换参发中存在的问题,提出了一种在EIV模型下使用整体最小二乘迭代法求解三维坐标转换参数的新方法。该方法只对系数矩阵中含有误差的元素进行改正,也可使系数矩阵中不同位置的相同元素具有同样的改正数。给出了运用新方法求解三维坐标转换参数的实例,并验证了新方法的可行性。

     

    Abstract: Basedonbriefintroductionofthecurrentvariouskindsofmethodsforsolvingtheparame tersofthree dimensionalcoordinatetransformation,thedefectsandshortcomingofthesemethodsaredelineated.Aimedatsolvingtheseexistingproblems,wecameupwithanewmethodtoobtaintheparametersforthree dimensionalcoordinatetransformationusinganiterativemethodoftotalleastsquaresintheEIVmodel.Themethodonlycorrectselementswhichcontainerrorsinthecoefficientmatrix.However,italsoadjuststhesameelementsindifferentpositionsofcoefficientmatrixtothesamecorrection,makingtheresultsconformmorecloselytotheactualsituation.Finally,anexamplewasconductedusingthenewmethodtosolvetheparametersforthree dimensionalcoordinatetrans formationtoverifythefeasibilityofnewmethod.

     

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