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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