混合总体最小二乘法在平面坐标转换中的相对有效性

The relative validity of LS-TLS method in plane coordinate transformation

在平面四参数坐标转换中,除经典最小二乘法和总体最小二乘法解算之外,新兴的混合总体最小二乘也可以消除或减弱随机误差对坐标转换参数估计的影响。以不同观测值个数、不同类型的随机误差的四参数坐标转换为例,运用算例和仿真实验的方法,通过比较这三种方法所估计出的参数和观测向量的相对比较指标,证明:在平面四参数坐标转换中混合总体最小二乘法和最小二乘法基本等价并且均优于总体最小二乘法。

In the coordinate transformation of planar four-parameter,the new LS-TLS method can eliminate or reduce the effect of random error on the estimation of coordinate transformation parameters,except the classical LS method and TLS method. Based on different number of observations,the different types of random error of four coordinate conversion parameters,this paper uses the method of calculation and simulation experiment,by comparing the relative parameters and the observation vector index,proved that the four parameters in plane coordinate transformation in LS-TLS method and LS method and were superior to TLS method.