Infrared and Laser Engineering, Volume. 53, Issue 4, 20230670(2024)

Internal parameter calibration method of line-scan camera based on 2.5D calibration fan

Xu Zhang1,2, Qingzhou Mao1,2, Chunlin Shi3, Qingwu Hu1,2, Guang Jin1,4, Hao Zhou1, and Yi Xie3
Author Affiliations
  • 1School of Remote Sensing and Information Engineering, Wuhan University, Wuhan 430079, China
  • 2Hubei Luojia Labortory, Wuhan 430079, China
  • 3Troops 61206, Beijing 100042, China
  • 4Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
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    Figures & Tables(14)
    Design of the calibration fan
    Image acquisition of calibration fan
    Internal parameter calibration model of line-scan camera
    The process of parameter calculation and optimization
    Expectation, variance and absolute error of camera intrinsic parameter error
    Cause analysis of parameter solution instability
    Test scene
    The results of 13 fan bones solving \begin{document}$ {y_0} $\end{document} and \begin{document}$ f $\end{document}. (a) The result of \begin{document}$ {y_0} $\end{document}; (b) The result of \begin{document}$ f $\end{document}
    The proportion of re-projection error distribution
    • Table 1. Performance comparison of different calibration methods

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      Table 1. Performance comparison of different calibration methods

      MethodDimension of the calibration objectAuxiliary equipmentAlgorithm difficultyRMSE of reprojection errorMaximum reprojection errorContains lens distortion
      Horaud[6]2DPlatformLowNAN.a.No
      Luna[7]3DNoMediumNA0.71No
      Li[8]3DNoMedium0.3481.58Yes
      Sun[14]2DArea-array cameraHigh0.150NANo
      Song[9]3DNoHigh0.223N.a.No
      Yao[15]2DNoHigh0.460NANo
      Niu[16]3DNoMedium0.160-0.360NANo
      Su[17]3DNoMedium0.3771.76Yes
      Liao[10]3DNoMedium0.120-0.310NANo
      Hui[12]3DPlatformHigh0.310NAYes
      Hui[13]3DArea-array cameraHigh0.2200.36Yes
      Wang[18]2DLaserLow0.370.48No
    • Table 2. The internal and external parameters of the camera in the simulation experiment

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      Table 2. The internal and external parameters of the camera in the simulation experiment

      ParameterValueParameterValue
      y0/pixel2048$ f $/pixel25/0.007
      $ a $−1e−4$ b $1e−10
      $ \alpha $/(°)0$ \varphi $/(°)0
      $ {D_x} $/mm1000$ {D_y} $/mm300
    • Table 3. Parameter calibration results of the 7th fan bone

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      Table 3. Parameter calibration results of the 7th fan bone

      ParameterValueParameterValue
      y0/pixel2055.35$ f $/pixel3571.62
      $ a $3.01e−5$ b $−1.67e−8
      $ \alpha $/(°)2.80$ \varphi $/(°)1.32
      $ {D_x} $/mm1449.50$ {D_y} $/mm58.68
    • Table 4. Analysis of reprojection error

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      Table 4. Analysis of reprojection error

      NumberMax/pixelMin/pixelRMSE/pixel
      40.1570.0020.086
      50.2410.0030.120
      60.1840.0260.104
      70.2620.0080.122
      80.2240.0270.124
      90.1940.0110.102
      100.2760.0020.129
    • Table 5. Comparison of parameter optimization methods

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      Table 5. Comparison of parameter optimization methods

      NumberStandard L-MImproved L-M
      TimesRMSE/pixelTimesRMSE/pixel
      4180.086100.086
      5210.122120.120
      6150.10570.104
      7160.12680.122
      8180.125110.124
      9190.10280.102
      10220.131140.129
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    Xu Zhang, Qingzhou Mao, Chunlin Shi, Qingwu Hu, Guang Jin, Hao Zhou, Yi Xie. Internal parameter calibration method of line-scan camera based on 2.5D calibration fan[J]. Infrared and Laser Engineering, 2024, 53(4): 20230670

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    Paper Information

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    Received: Dec. 1, 2023

    Accepted: --

    Published Online: Jun. 21, 2024

    The Author Email:

    DOI:10.3788/IRLA20230670

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