顾及2套坐标误差的三维坐标变换方法

Threedimensional Coordinate Transformation with Consideration of Coordinate Errors in Two Coordinate Systems

摘要:

探讨顾及2套坐标误差改正数的三维坐标转换模型,以2套坐标改正数的加权平方和最小为准则导出了转换参数的解算公式;并根据公共点的坐标改正数以及公共点与待转换点间的协方差阵计算待转换点的坐标改正数并对其改正,从而求得近似无缝的坐标转换结果.试验表明:当公共点与转换点坐标相关性较大时,该方法能显著地提高坐标转换精度.

关键词:坐标转换; 最小二乘配置; Bursa模型; 转换参数

Abstract:

The paper presents a new coordinate transformation model with a consideration of the coordinate errors in both coordinate systems.The computation formulae of transformation parameters are derived based on the minimization of weighted sum of coordinate corrections in two systems.In addition, the coordinate corrections of transformed points are computed according to the covariance matrix of coordinates between public and transformed points with the leastsquares collocation method.The experiments show that the new model can significantly improve the precision of the coordinate transformation especially in case that the strong correlation exists between public and transformed coordinates.

Key words:coordinate transformation; leastsquares collocation; Bursa model; transformation parameters