• Acta Optica Sinica
  • Vol. 42, Issue 14, 1412002 (2022)
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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    DOI: 10.3788/AOS202242.1412002 Cite this Article Set citation alerts
    Cong Sun, Mengna Jia, Qifeng Yu. Calibration and Epipolar Rectification Methods for Stereo Scheimpflug Cameras[J]. Acta Optica Sinica, 2022, 42(14): 1412002 Copy Citation Text show less
    Diagram of rotation matrix model imaging of Scheimpflug camera
    Fig. 1. Diagram of rotation matrix model imaging of Scheimpflug camera
    Epipolar geometry of stereo Scheimpflug cameras
    Fig. 2. 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
    Fig. 3. 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
    Fig. 4. 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
    Fig. 5. 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)
    Fig. 6. 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
    Fig. 7. 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
    Fig. 8. Performance of stereo-DIC based on Scheimpflug cameras. (a) Comparison of displacement measured value and displacement station output value; (b) error in displacement measurement
    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)
    Table 1. Calibration results of stereo Scheimpflug cameras
    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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