公路测量GPS坐标转换中病态矩阵与坐标粗差的处理算法

The algorithm research of morbidity matrix and coordinates gross error for the GPS coordinate transformation in highway control survey

公路控制测量时,矩阵病态与公共点坐标粗差会导致GPS坐标转换至国家或城市坐标精度差乃至失败.文章采用截断奇异值法(简称TSVD,下同)解决系数矩阵病态问题,同时将抗差估计原理用于抵抗公共点坐标的粗差影响.研究表明,TSVD法与抗差估计法能分别解决公路控制测量坐标转换时病态矩阵及坐标粗差的问题,获取较高精度的转换坐标.

In highway control survey,morbidity matrix and public point coordinate gross errors could cause GPS coordinates to be converted to national or city coordinates with poor accuracy or even failure.In this paper,the morbidity problem of coefficient matrix was resoved using TSVD and the theory of the robust estimation was used to resist the gross errors effect of the common point coordinates.Research showed that the TSVD method and the robust estimation method could solve the problem of morbidity matrix and coordinate gross errors in highway control measurement coordinate conversion,respectively,and the higher precision conversion coordinates obtained.