Least squares based on Rodrigues Matrix and its application in similar material model of mining

作者：Fuqin Yang, Huayang Dai, Huimin Xing · 年份：2015 · DOI：10.1109/icma.2015.7237739 · 被引用次数：2 · 研究领域：Statistical and numerical algorithms、Satellite Image Processing and Photogrammetry、Geochemistry and Geologic Mapping

With using `Flight Strip' in Aerophotogrammetry, this paper designs `Strip' experimental procedures of modeling photographs. Conversion and registration in three-dimensional coordinate monitoring points are required to reduce the deformation calculation error of specified direction in a/the similar model of mining subsidence. The traditional coordinate registration method computes complexly, with three rotation angle parameters are needed in calculating. Rodrigues Matrix, which is of a high calculation speed, only requires three independent parameters, Moreover, Rodrigues Matrix could solve the problem of conversion and registration parameters in three-dimensional coordinate. This paper proposes a calculation model of translation matrix and an error equation of rotation matrix on the basis of XJTUDP three-dimensional conversion. The calculating results demonstrate that the conversion model of Rodrigues Matrix not only avoids computing trigonometric and linear change but also improves the calculation accuracy as well as minimizes the calculation complexity, which has a practical significance in bettering the deformation analysis accuracy of similar model.