Title :
Least squares based on Rodrigues Matrix and its application in similar material model of mining
Author :
Fuqin Yang ; Huayang Dai ; Huimin Xing
Author_Institution :
Geosci. & Surveying Eng, China Univ. of Min. & Technol., Beijing, China
Abstract :
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.
Keywords :
condition monitoring; deformation; matrix algebra; mechanical variables measurement; mining; occupational safety; photogrammetry; Rodrigues matrix; XJTUDP three-dimensional conversion; aerophotogrammetry; colliery safety production; deformation analysis; flight strip; least squares method; mining subsidence; three dimensional optical photogrammetry system; three-dimensional coordinate monitoring; translation matrix; trigonometry; Accuracy; Cameras; Computational modeling; Mathematical model; Monitoring; Solid modeling; Strips; Rodrigues Matrix; rotation matrix; similar material; three-dimensional coordinate transformation;
Conference_Titel :
Mechatronics and Automation (ICMA), 2015 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-7097-1
DOI :
10.1109/ICMA.2015.7237739