• DocumentCode
    2045820
  • 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
  • fYear
    2015
  • fDate
    2-5 Aug. 2015
  • Firstpage
    1686
  • Lastpage
    1690
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mechatronics and Automation (ICMA), 2015 IEEE International Conference on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4799-7097-1
  • Type

    conf

  • DOI
    10.1109/ICMA.2015.7237739
  • Filename
    7237739