• Laser & Optoelectronics Progress
  • Vol. 60, Issue 16, 1615004 (2023)
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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    DOI: 10.3788/LOP222259 Cite this Article Set citation alerts
    Xudong Lin, Xu Zhang. Accurate Camera Calibration Method Based on Perspective Distortion Correction[J]. Laser & Optoelectronics Progress, 2023, 60(16): 1615004 Copy Citation Text show less
    Ideal camera model
    Fig. 1. Ideal camera model
    Circular array target
    Fig. 2. Circular array target
    Sorting of landmarks
    Fig. 3. Sorting of landmarks
    Camera rotation
    Fig. 4. Camera rotation
    Target pose
    Fig. 5. Target pose
    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
    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 1. Simulation 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
    Table 2. Camera calibration results