• Acta Optica Sinica
  • Vol. 37, Issue 11, 1115006 (2017)
Pengpeng Zou1、2, Zili Zhang2、3, Ping Wang1, Qiyue Wang2, and Weihu Zhou2、3、*
Author Affiliations
  • 1 College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, 210000, China
  • 2 Chinese Academy of Sciences, Academy of Opto-Electronics, Beijing, 100089, China
  • 3 University of Chinese Academy of Sciences, Beijing, 100049, China
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    DOI: 10.3788/AOS201737.1115006 Cite this Article Set citation alerts
    Pengpeng Zou, Zili Zhang, Ping Wang, Qiyue Wang, Weihu Zhou. Binocular Camera Calibration Based on Collinear Vector and Plane Homography[J]. Acta Optica Sinica, 2017, 37(11): 1115006 Copy Citation Text show less
    Binocular camera model
    Fig. 1. Binocular camera model
    Distortion model of camera lens
    Fig. 2. Distortion model of camera lens
    Flow chart of binocular camera calibration algorithm
    Fig. 3. Flow chart of binocular camera calibration algorithm
    Internal parameters and distortion error at different error levels. (a) fx and fy error; (b) u0 and v0 error; (c) k1 error
    Fig. 4. Internal parameters and distortion error at different error levels. (a) fx and fy error; (b) u0 and v0 error; (c) k1 error
    External parameter error at different error levels. (a) Translation error; (b) rotation error
    Fig. 5. External parameter error at different error levels. (a) Translation error; (b) rotation error
    Average of reprojection error of the images captured by left and right camera
    Fig. 6. Average of reprojection error of the images captured by left and right camera
    (a) Binocular vision measurement system; (b) target chart captured by left camera; (c) target chart captured by right camera
    Fig. 7. (a) Binocular vision measurement system; (b) target chart captured by left camera; (c) target chart captured by right camera
    Comparison of consuming time in binocular calibration with different pictures
    Fig. 8. Comparison of consuming time in binocular calibration with different pictures
    ParameterProposed calibration methodZhang’s calibration method
    Left cameraRight cameraLeft cameraRight camera
    fx7176.64007176.63467176.88587176.8858
    fy7176.61217176.63437176.88587176.8858
    u01222.98841223.50391223.50001223.5000
    v01024.34671023.99861024.50001024.5000
    R[1,0,0; 0,1,0; 0,0,1][0.99987,0.00293,0.01247;0.00438,0.99964,0.00962;-0.01178,-0.00765,0.9938][1,0,0; 0,1,0; 0,0,1][0.99991,0.00336,0.01242;0.00324,0.99994,0.00992;-0.01245,-0.00988,0.9998]
    t[0,0,0][184.6340,0.0593,-4.2206][0,0,0][184.9330,0.0642,-4.4113]
    k1-0.08324-0.09502-0.10131-0.10205
    Table 1. Comparison of the experimental results of proposed calibration method and Zhang’s calibration method
    MethodDistance error
    EminEmaxEeq
    Zhang’s calibration method0.0390.3870.113
    Proposed calibration method0.0080.1350.095
    Table 2. Comparison of distance error between two methodsmm
    Pengpeng Zou, Zili Zhang, Ping Wang, Qiyue Wang, Weihu Zhou. Binocular Camera Calibration Based on Collinear Vector and Plane Homography[J]. Acta Optica Sinica, 2017, 37(11): 1115006
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