顾及大地高误差的空间三维坐标系统转换  

3D SPACE COORDINATE SYSTEM TRANSFORMATION CONSIDERING GEODETIC ELEVATION ERROR

作　　者：陶叶青[1,2] 张生[1] 杨娟[1] 

机构地区：[1]宿州学院煤矿勘探工程技术研究中心,宿州234000 [2]中国矿业大学环境与测绘学院,徐州221008

出　　处：《大地测量与地球动力学》2013年第4期96-99,共4页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41074010);安徽省煤矿勘探工程技术研究中心开题课题(2012YKF11;2013YKF03)

摘　　要：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。In the transformation from national reference-ellipsoid-centric coordinate to national geocentric coor- dinate, 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 accu- racy. Up to late the 3 D space coordinate model based on least squares has not taken into account the influence. In this paper,we discuss the method of 3D space coordinate transformation based on total least squares, besides, com- pare 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.

关 键 词：大地高 总体最小二乘 最小二乘 坐标系统转换 高斯-马尔科夫模型 

分 类 号：P221[天文地球—大地测量学与测量工程]