顾及大地高误差的空间三维坐标系统转换

摘要

In the transformation from national reference-ellipsoid-centric coordinate to national geocentric coordinate,the lack of precise geodetic elevation of control points in reference-ellipsoid-centric coordinate makes the rectangular space coordinates of control points contain error.And this factor has an impact on final conversion accuracy.Up to late the 3D space coordinate model based on least squares has not taken into account the influence.In this paper,we discuss the method of 3 D space coordinate transformation based on total least squares,besides,compare the methods of coordinate transformation based on total least squares and least squares used known data.The result shows that the accuracy of the former is better than the later.%在参心坐标系向地心坐标系转换的过程中,由于控制点在参心坐标系中缺乏高精度的大地高,使得控制点在参心坐标系中的空间三维直角坐标存在误差,对转换结果有一定的影响,而应用最小二乘准则建立的空间转换模型没有顾及这一影响.对应用总体最小二乘建立空间转换模型实现坐标系统转换的方法进行了探讨,并用已知数据分别对总体最小二乘(TLS)与最小二乘(LS)算法实现坐标系统转换做出比较,结果显示,前者计算精度高、求解更合理.