Laser & Optoelectronics Progress, Volume. 60, Issue 22, 2211001(2023)

Static Calibration Method for Line-Scan Cameras in 2D Space

Xinyu Suo, Jian Liu*, Jie Zhang, Chaoqun Jin, and Feitao Zhou
Author Affiliations
  • College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, Hunan , China
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    Figures & Tables(13)
    Area scan camera imaging model
    2D line scan camera imaging model
    Complete flow of line scan camera coordinate system transformation
    Line scan camera calibration plate
    Line scan camera calibration process
    Focus line position calculation
    Line scan camera calibration experimental device
    Object to be tested. (a) Design drawing; (b) physical object
    Schematic of the experiment design
    Comparison of distortion correction strategies. (a) Distorted pixel coordinate fitting method; (b) error of the distorted pixel coordinate fitting method; (c) distortion value fitting method; (d) error of the distortion value fitting method
    • Table 1. Experimental configuration

      View table

      Table 1. Experimental configuration

      NameConfiguration
      Line scan cameraHikvision MV-CL042-90GC, resolution of 4096×2
      Line scan lensChiopt LS6016A, focal length of 60 mm
      Line scan lightHannover LSH-200W, length of luminescence of 200 mm, white
      Mounting rodΦ30×200 mm
      Calibration plate180×13 mm (Fig. 4
      Six degree of freedom robotAUBO-i5
      Programming softwareMatlab2021b
    • Table 2. Results of calibration accuracy of the proposed method

      View table

      Table 2. Results of calibration accuracy of the proposed method

      CalibrationPosition
      PixelCalibration value /mmError /mmPixelCalibration value /mmError/mmPixelCalibration value /mmError /mm
      E(170 mm)E13921174.753-0.2473914174.864-0.1363932174.794-0.206
      Resolution (mm·pixel-10.044570.044680.04445

      A

      (10 mm)

      A12279.995-0.0052299.953-0.0472339.971-0.029
      A22259.954-0.0462269.919-0.0812309.971-0.029
      A32259.992-0.00822610.0050.00522810.0070.007
      A42239.944-0.0562239.970-0.0302249.969-0.031
      A522410.0290.02922210.0210.02122310.0560.056
      A62229.969-0.0312199.962-0.0382199.982-0.018
      A722510.1250.12522110.1230.12322010.1380.138

      B

      (25 mm)

      B156624.960-0.04057224.936-0.06458024.918-0.082
      B256124.890-0.11056424.916-0.08457024.941-0.059
      B355924.927-0.07355824.947-0.05356024.923-0.077
      B455724.958-0.04255224.967-0.03355124.915-0.085
      B555625.0080.00854825.0530.05354525.0320.032

      C

      (50 mm)

      C1113049.941-0.059114049.931-0.069115449.896-0.104
      C2111849.854-0.146111549.848-0.152112149.887-0.113
      C3111249.955-0.045109850.0160.016109449.977-0.023

      D

      (100 mm)

      D1225199.861-0.139226299.931-0.069228299.865-0.135
      D2224199.925-0.075223699.957-0.043224799.967-0.033
      D3223099.877-0.123220999.849-0.151221099.867-0.133
      MAE0.0640.0630.066
      σ0.0630.0650.068
    • Table 3. Results of calibration accuracy of Horaud method

      View table

      Table 3. Results of calibration accuracy of Horaud method

      CalibrationPosition
      PixelCalibration value /mmError /mmPixelCalibration value/mmError /mmPixelCalibration value /mmError /mm
      E(170 mm)E13921174.753-0.2473914174.864-0.1363932174.794-0.206
      Resolution (mm·pixel-10.044570.044680.04445

      A

      (10 mm)

      A12269.841-0.1592299.953-0.04723310.0410.041
      A22259.966-0.0342269.932-0.06823010.0380.038
      A322510.0060.00622610.0080.00822810.0110.011
      A42239.933-0.0672239.963-0.0372249.936-0.064
      A522410.0250.02522210.0200.02022310.0530.053
      A62229.983-0.0172199.968-0.03221910.0080.008
      A722510.1030.10322110.1130.11322010.0980.098

      B

      (25 mm)

      B156624.807-0.19357224.954-0.04658025.1120.112
      B256124.934-0.06656424.931-0.06957024.992-0.008
      B355924.901-0.09955824.931-0.06956024.844-0.156
      B455724.961-0.03955224.969-0.03155124.930-0.070
      B555624.995-0.00554825.0440.04454525.0080.008

      C

      (50 mm)

      C1113049.831-0.169114049.976-0.024115450.2110.211
      C2111849.817-0.183111549.825-0.175112149.761-0.239
      C3111249.965-0.035109850.0170.017109450.0020.002

      D

      (100 mm)

      D1225199.740-0.260226299.959-0.0412282100.0770.077
      D2224199.938-0.062223699.953-0.047224799.920-0.080
      D3223099.841-0.159220999.828-0.172221099.779-0.221
      MAE0.0930.0590.083
      σ0.0900.0660.111
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    Xinyu Suo, Jian Liu, Jie Zhang, Chaoqun Jin, Feitao Zhou. Static Calibration Method for Line-Scan Cameras in 2D Space[J]. Laser & Optoelectronics Progress, 2023, 60(22): 2211001

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    Paper Information

    Category: Imaging Systems

    Received: Dec. 19, 2022

    Accepted: Feb. 27, 2023

    Published Online: Nov. 6, 2023

    The Author Email: Jian Liu (liujian@hun.edu.cn)

    DOI:10.3788/LOP223342

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