摘要
本文介绍了两种常用的坐标转换模型和最小二乘配置坐标转换方法,并以徐州市基础测绘北京54和西安80平面坐标的转换为例,比较了二维多项式变换模型和相似变换模型的精度。最后分析了两种模型的优劣。同时,提出了利用QR矩阵分解法来解决最小二乘法矩阵求逆导致的数值不稳定问题。
This paper introduced two coordinate transformation models in common use and coordinate transformation using least squares collocation method, then compared the accuracy of 2D multinomial coordinate transformation model with similar coordinate transformation model based on Beijing54 and Xi' an80 horizontal coordinate transformation of fundamental mapping in Xuzhou city. At the same time, a new solution was found with QR decomposition to solve the problem of numerical instability resulted by matrix inverse.
出处
《四川测绘》
2007年第5期224-227,共4页
Surveying and Mapping of Sichuan
关键词
坐标转换
最小二乘法
多项式
最小二乘配置
QR分解法
Coordinate Transformation
Least Square Method
Multinomial
Least Squares Collocation
QR decomposition