基于加权整体最小二乘的矿区平面坐标转换方法

A method of planare coordinate system transformation based on weighted total least-wquares adustment

常用的平面坐标系统转换模型四参数转换法在实际工程应用中,由于公共点一般分布在较小的范围内,点之间的距离较近,因此传统的四参数转换模型中旋转参数和平移参数之间的相关性较大,容易导致法方程病态,进而影响转换参数的精度,文中从重合点坐标重心化的转换模型出发,还原出重心化之前的四参数。通过加权整体最小二乘的转换分析及迭代计算,验证运用加权整体最小二乘(WTLS)方法转换的参数质量比最小二乘(LS)、整体最小二乘(TLS)方法得到的参数质量有显著改善。

Common planar four parameters coordinate transformation model in practical application has a strong correlation between the rotation parameter and translation parameters,which can lead to the illconditioned equation coefficient matrix and even affect the accuracy of the transformation parameters.That is due to the following reasons：firstly common points are distributed in local region and secondly the distance between those points is short.This paper restores the four-parameter based on the transformation model of common coordinate points centralized to original shape.By using the converting analysis of weighted total least-squares adjustment and iterative calculation,it verifies the quality of converting parameters is greatly improved via the comparison of the WTLS method and the LS,TLS method.