Acta Optica Sinica, Volume. 42, Issue 14, 1412002(2022)

Calibration and Epipolar Rectification Methods for Stereo Scheimpflug Cameras

Cong Sun1,2、*, Mengna Jia3, and Qifeng Yu4
Author Affiliations
  • 1State Key Laboratory of Astronautic Dynamics, Xi′an710043, Shaanxi , China
  • 2Xi′an Satellite Control Center, Xi′an710043, Shaanxi , China
  • 3China Academy of Space Technology (Xi′an), Xi′an710000, Shaanxi , China
  • 4College of Aeronautics and Astronautics, National University of Defense Technology, Changsha 410073, Hunan , China
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    Figures & Tables(9)
    Diagram of rotation matrix model imaging of Scheimpflug camera
    Epipolar geometry of stereo Scheimpflug cameras
    Epipolar rectification strategy of stereo Scheimpflug cameras. (a) Stereo Scheimpflug cameras; (b) ordinary stereo cameras; (c) rectified stereo cameras
    Epipolar rectification results of typical stereo Scheimpflug camera. (a) Original stereo image pair; (b) rectified image pair
    Reconstruction results of stereo Scheimpflug cameras for plane targets. (a) Reconstructed 3D checkerboard points and fitted plane; (b) error distribution of reconstructed plane
    Experimental apparatus of stereo-DIC. (a) Setup for three-point bending test; (b) specimen geometry; (c) ROI on specimen surface (rectangle area)
    Specimen surface images obtained by different imaging modes. (a) Traditional camera; (b) Scheimpflug camera
    Performance of stereo-DIC based on Scheimpflug cameras. (a) Comparison of displacement measured value and displacement station output value; (b) error in displacement measurement
    • Table 1. Calibration results of stereo Scheimpflug cameras

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      Table 1. Calibration results of stereo Scheimpflug cameras

      Intrinsic parameterLeft cameraRight camera
      fx10912.365110025.7085
      fy10896.606210977.6092
      α /(°)0.61560.3511
      β /(°)-4.55834.4574
      Cx868.97861503.2014
      Cy989.96571000.1329
      k1-0.3621-0.3208
      k20.83891.3490
      p1-0.0013-0.0022
      p2-0.0108-0.0104
      Reprojection error /pixel0.34790.3528
      R(in Rodriguez form)(0.0037,0.3948,-0.0115)
      T(unit:mm)(-144.8040,1.3722,27.9974)
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    Cong Sun, Mengna Jia, Qifeng Yu. Calibration and Epipolar Rectification Methods for Stereo Scheimpflug Cameras[J]. Acta Optica Sinica, 2022, 42(14): 1412002

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Nov. 18, 2021

    Accepted: Feb. 18, 2022

    Published Online: Jul. 15, 2022

    The Author Email: Sun Cong (suncong@whu.edu.cn)

    DOI:10.3788/AOS202242.1412002

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