加权总体最小二乘的地面解析摄影测量算法

Terrestrial Analytical Photogrammetry with Weighted Total Least Squares

在分析加权总体最小二乘解与经典最小二乘解的区别和联系的基础上,将加权总体最小二乘平差理论首次应用于地面摄影测量的解析相对定向算法中,并给出了基于相对定向模型的加权总体最小二乘的算法步骤。同时,将Procrustes理论引入到解析绝对定向模型中,推导了基于Procrustes理论的加权总体最小二乘解。具体算例证明了加权总体最小二乘平差理论应用于地面摄影测量处理中能够获得精确稳定的解析参数。

Terrestrial photogrammetry differs from traditional aerial photogrammetry and close-range photogrammetry,for the former adopts different resolution photography, while the latter is similar to take same resolution photography. In the classical least squares adjustment, the coefficient matrix is considered without error. Unfortunately, variables in the coefficient matrix are inevitably error-con- taminated. Considering the random errors may exist both in the observation vector and the coefficient matrix, the total least squares algorithm is studied in this paper. According the weight matrix of the observations based on different resolution Stereoscopic images of terrestrial photogrammetry, the weighted total least squares in the relative orientation and Procrustes algorithm with absolute orienta- tion are formulated, then the procedure is described. At the end of the paper, the experiments of rela- tive orientation and absolute orientation are investigated to prove that using the weighted total least squares based on terrestrial photogrammetry is practicable, and the reliable and accurate solution can be obtained.