Acta Optica Sinica, Volume. 37, Issue 11, 1115006(2017)

Binocular Camera Calibration Based on Collinear Vector and Plane Homography

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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    Figures & Tables(10)
    Binocular camera model
    Distortion model of camera lens
    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
    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
    (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
    • Table 1. Comparison of the experimental results of proposed calibration method and Zhang’s calibration method

      View table

      Table 1. Comparison of the experimental results of proposed calibration method and Zhang’s calibration method

      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 2. Comparison of distance error between two methodsmm

      View table

      Table 2. Comparison of distance error between two methodsmm

      MethodDistance error
      EminEmaxEeq
      Zhang’s calibration method0.0390.3870.113
      Proposed calibration method0.0080.1350.095
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    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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    Paper Information

    Category: Machine Vision

    Received: Jun. 7, 2017

    Accepted: --

    Published Online: Sep. 7, 2018

    The Author Email: Zhou Weihu (zhouweihu@aoe.ac.cn)

    DOI:10.3788/AOS201737.1115006

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