Laser & Optoelectronics Progress, Volume. 57, Issue 4, 041507(2020)

Internal Calibration Method of Linear Array CCD Using Nonparametric Model

Jun Wu1,2、*, Jun Xu1, Yanling Li3, Zechuan Li1, and Xin Li3
Author Affiliations
  • 1College of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, China
  • 2State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China
  • 3College of Electronic Information and Automation, Civil Aviation University of China, Tianjin 300300, China
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    Figures & Tables(14)
    Flow chart of internal calibration method of linear array CCD using nonparametric model
    Nonparametric model of two-dimensional imaging of linear array CCD camera
    Camera imaging model considering edge distortion of linear array CCD camera
    Mapping relationship of equidistant points on parallel lines
    Mapping relationship of points on line parallel to optical axis
    Distortion calibration
    Schematic of experimental setup for nonparametric calibration of linear array CCD camera
    Spectrum of receiving signal of linear array CCD camera
    Distortion calculated from data of calibration points at X=10 mm
    Reprojection error without distortion calibration
    Reprojection error of internal calibration method using nonparametric model
    Reprojection error using distortionparametric model
    • Table 1. Data of calibration points at X=10 mm

      View table

      Table 1. Data of calibration points at X=10 mm

      v /pixelY /mmv /pixelY /mm
      90.96-751183.65-1
      167.17-701190.98-0.5
      242.72-651198.280
      317.61-601205.780.5
      392.14-551212.921
      466.36-501220.191.5
      540.08-451227.802
      613.55-401235.072.5
      686.96-351242.513
      759.97-301250.003.5
      833.03-251257.414
      905.85-201345.8710
      979.09-151419.9915
      1052.04-101494.5620
      1139.77-41569.6625
      1147.00-3.51644.9630
      1154.33-31721.1235
      1161.68-2.51798.0140
      1168.96-21875.9245
      1176.35-1.51954.2850
    • Table 2. Comparison of reprojection errors

      View table

      Table 2. Comparison of reprojection errors

      Calibration typeRMS value /pixelMean value /pixelMaximum value /pixel
      No distortion calibration3.22-0.0512.11
      Proposed method0.420.000.95
      Internal calibration of parametric models0.80-0.102.47
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    Jun Wu, Jun Xu, Yanling Li, Zechuan Li, Xin Li. Internal Calibration Method of Linear Array CCD Using Nonparametric Model[J]. Laser & Optoelectronics Progress, 2020, 57(4): 041507

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    Paper Information

    Category: Machine Vision

    Received: Jul. 1, 2019

    Accepted: Aug. 5, 2019

    Published Online: Feb. 20, 2020

    The Author Email: Jun Wu (j_wu@cauc.edu.cn)

    DOI:10.3788/LOP57.041507

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