中文摘要：

以重合点坐标独立但不等精度的三维坐标变换问题为基础,采用不加权和加权的TLS方法进行解算。模拟算例表明,未加权的简单TLS方法与基于残差的LS方法的估计结果一致。在加权方法中,按行分块独立的WTLS方法能达到最大似然估计精度,而EWTLS方法由于未考虑元素间的相关性,估计精度略低。

英文摘要：

Traditional solution to 3D coordinate transformation problem is the optimal estima- tion at the cost function of the least squares （LS）for residual vector without consideration ofpoint covariance. Whereas ordinary least squares and total least squares methods can not work well in the heteroscedastic cases. Then unweighted and weighted TLS methods are introduced and compared. The data experiments indicate that unweighted TLS method and LSmethod have the consistent results and the block row-wised WTLS method has the same results as the maximum likelihood estimator（MLE）, and the element-wised method is not so accurate as MLE due to neglecting the correlations of the matrix elements.