• Laser & Optoelectronics Progress
  • Vol. 57, Issue 4, 041507 (2020)
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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    DOI: 10.3788/LOP57.041507 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Flow chart of internal calibration method of linear array CCD using nonparametric model
    Fig. 1. Flow chart of internal calibration method of linear array CCD using nonparametric model
    Nonparametric model of two-dimensional imaging of linear array CCD camera
    Fig. 2. Nonparametric model of two-dimensional imaging of linear array CCD camera
    Camera imaging model considering edge distortion of linear array CCD camera
    Fig. 3. Camera imaging model considering edge distortion of linear array CCD camera
    Mapping relationship of equidistant points on parallel lines
    Fig. 4. Mapping relationship of equidistant points on parallel lines
    Mapping relationship of points on line parallel to optical axis
    Fig. 5. Mapping relationship of points on line parallel to optical axis
    Distortion calibration
    Fig. 6. Distortion calibration
    Schematic of experimental setup for nonparametric calibration of linear array CCD camera
    Fig. 7. Schematic of experimental setup for nonparametric calibration of linear array CCD camera
    Spectrum of receiving signal of linear array CCD camera
    Fig. 8. Spectrum of receiving signal of linear array CCD camera
    Distortion calculated from data of calibration points at X=10 mm
    Fig. 9. Distortion calculated from data of calibration points at X=10 mm
    Reprojection error without distortion calibration
    Fig. 10. Reprojection error without distortion calibration
    Reprojection error of internal calibration method using nonparametric model
    Fig. 11. Reprojection error of internal calibration method using nonparametric model
    Reprojection error using distortionparametric model
    Fig. 12. Reprojection error using distortionparametric model
    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 1. Data of calibration points at X=10 mm
    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
    Table 2. Comparison of reprojection errors
    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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