Abstract：When the traditional least-squares are used in the similar model test of a coordinate transformation, it assumes that the errors do not exist in the data matrix. The total least-squares method is employed for the similar model test of a coordinate transformation. The proposed method is based on a Rodrigues matrix. The total least-squares is a more general model wherein both the observation matrix and the data matrix are considered to delete outliers from point clouds in some other methods, and thus obtains a fitting parameter of high precision. A comparative study was also made between the proposed and traditional methods, such as the solution precision of a photogrammetric system, as well as the least-squares and total least-squares method. The results show that the method is valid and practical.

Keyword：Rodrigues matrix;similar model;total least squares (TLS) ;close-range photogrammetry;