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不同大地坐标系间相互转换的病态解决及抗差算法
引用本文:倪飞,赵长胜,郭洋洋.不同大地坐标系间相互转换的病态解决及抗差算法[J].测绘科学,2011,36(4):72-74.
作者姓名:倪飞  赵长胜  郭洋洋
作者单位:1. 南通航运职业技术学院交通工程系,江苏南通,226010
2. 徐州师范大学测绘学院,江苏徐州,221116
摘    要:不同大地坐标系间进行坐标转换是利用具有两个坐标系下坐标的公共点,求取转换参数 经常会遇到系数矩阵病态导致转换精度差的问题,且公共点的坐标精度直接影响转换参数的求解精度,也就是影响坐标转换的精度.本文探讨利用LC曲线法、截断奇异值法及广义交叉检验准则法解决病态问题,同时采用抗差估计理论进行不同大地坐标间的转换.当公共点...

关 键 词:抗差估计  LC曲线  截断奇异值法  广义交叉检验准则

Morbidity resolution and robust estimation method in different geodetic coordinate system transformation
NI Fei,ZHAO Chang-sheng,GUO Yang-yang.Morbidity resolution and robust estimation method in different geodetic coordinate system transformation[J].Science of Surveying and Mapping,2011,36(4):72-74.
Authors:NI Fei  ZHAO Chang-sheng  GUO Yang-yang
Institution:②(①Nantong Shipping College,Jiangsu Nantong 226010,China;②Institute of Surveying and Mapping,Xuzhou Normal University,Jiangsu Xuzhou 221116,China)
Abstract:The coordinate transformation of different geodetic coordinate system is to calculate the transformation parameters,making use of the common points between two coordinate systems.There will always be the problem of poor accuracy in the coefficient matrix,and the accuracy of the common point coordinates could directly affect the accuracy of the transformation parameters.This paper discussed the use of LC curve method,TSVD and GCV to solve ill-posed problem,and used the theory of robust estimation to resolve the problem of blunder between the transformation in different geodetic coordinates.The Least Square principle was used to take the conversion parameters when the public point of error was small.And when the public point of error was large,the parameters could be obtained using the principle of the Roburst,so that the coordinates with the higher conversion precision would be gained.
Keywords:robust estimation  LC curve  truncate method  criterion of generalized cross-validation
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