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Laser & Optoelectronics Progress, Volume. 60, Issue 16, 1615004(2023)

Accurate Camera Calibration Method Based on Perspective Distortion Correction

Xudong Lin and Xu Zhang*
Author Affiliations
  • School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (8)
    Equations (13)
    References (20)
    Cited By (3)
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    Figures & Tables(8)
    Ideal camera model

    Fig. 1. Ideal camera model

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    Circular array target

    Fig. 2. Circular array target

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    Sorting of landmarks

    Fig. 3. Sorting of landmarks

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    Camera rotation

    Fig. 4. Camera rotation

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    Target pose

    Fig. 5. Target pose

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    Scatter plots for residual error. (a) Traditional method; (b) Heikkilä method; (c) proposed method

    Fig. 6. Scatter plots for residual error. (a) Traditional method; (b) Heikkilä method; (c) proposed method

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    • Table 1. Simulation results

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      Table 1. Simulation results

      ParameterTrue value

      Standard deviation

      is 0 pixel

      Standard deviation

      is 0.1 pixel

      Standard deviation

      is 0.5 pixel

      Traditional methodProposed methodTraditional methodProposed methodTraditional methodProposed method
      Focal lengthαx /pixel6527.06527.46526.96527.56527.06527.66527.1
      αy /pixel6527.06527.46526.96527.56526.96527.66527.1
      Skews0.60000.60000.60000.60150.60140.59110.5914
      Principal pointu0 /pixel2254.02254.02254.02254.02254.02253.92253.9
      v0 /pixel2048.02048.02048.02048.02048.02048.12048.0
      Distortionk1 /mm-2-0.0700-0.0712-0.0696-0.0712-0.0697-0.0711-0.0695
      k2 /mm-40.20000.21400.19850.21450.19930.21210.1965
      p1 /（10-4 mm-1）-5.000-4.994-4.994-4.983-4.984-4.946-4.947
      p2 /（10-4 mm-1）-2.000-1.997-1.997-2.014-2.013-1.991-1.989
      Reprojection error /pixel0.03800.00230.04150.01320.08190.0632

    • Table 2. Camera calibration results

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      Table 2. Camera calibration results

      ParameterTraditional methodHeikkilä’s methodProposed method
      Focal lengthαx /pixel6533.7000±0.25796534.0666±0.14146533.5616±0.1280
      αy /pixel6532.5628±0.26006532.7600±0.13806532.4305±0.1291
      Skews0.7062±0.0545-0.6878±0.0271
      Principal pointu0 /pixel2267.4807±0.38062268.3115±0.19702267.4078±0.1889
      v0 /pixel2045.2659±0.30492045.0895±0.16102045.1704±0.1513
      Distortionk1 /mm-2-0.0719±0.0002--0.0716±0.0001
      k2 /mm-40.2302±0.0016-0.2286±0.0008
      p1 /（10-4 mm-1）-0.0004±0.000016--0.0004±0.000008
      p2 /（10-4 mm-1）-0.0002±0.000019--0.0002±0.000009
      Reprojection error /pixel0.10880.08050.0739
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    Xudong Lin, Xu Zhang. Accurate Camera Calibration Method Based on Perspective Distortion Correction[J]. Laser & Optoelectronics Progress, 2023, 60(16): 1615004

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    Paper Information

    Category: Machine Vision

    Received: Aug. 12, 2022

    Accepted: Oct. 13, 2022

    Published Online: Aug. 18, 2023

    The Author Email: Xu Zhang (zxu1116@126.com)

    DOI:10.3788/LOP222259

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology