• Laser & Optoelectronics Progress
  • Vol. 56, Issue 21, 211506 (2019)
Yang Lei, Hongli Zhang*, and Cong Wang
Author Affiliations
  • School of Electrical Engineering, Xinjiang University, Urumqi, Xinjiang 830047, China
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    DOI: 10.3788/LOP56.211506 Cite this Article Set citation alerts
    Yang Lei, Hongli Zhang, Cong Wang. Hybrid Particle-Swarm-Optimization Method for Accurately Calibrating Cameras[J]. Laser & Optoelectronics Progress, 2019, 56(21): 211506 Copy Citation Text show less
    Monocular camera model (pinhole camera model)
    Fig. 1. Monocular camera model (pinhole camera model)
    Checker board calibration boards
    Fig. 2. Checker board calibration boards
    Fitness curve obtained by HPSO
    Fig. 3. Fitness curve obtained by HPSO
    Reprojection error obtained by HPSO.(a)Reprojection error of calibration image; (b)average projection error of calibration image
    Fig. 4. Reprojection error obtained by HPSO.(a)Reprojection error of calibration image; (b)average projection error of calibration image
    Reprojection error obtained by Zhang's calibration method. (a)Reprojection error of calibration image; (b)average projection error of calibration image
    Fig. 5. Reprojection error obtained by Zhang's calibration method. (a)Reprojection error of calibration image; (b)average projection error of calibration image
    Reprojection error obtained by GA.(a)Reprojection error of calibration image;(b)average reprojection error of calibration image
    Fig. 6. Reprojection error obtained by GA.(a)Reprojection error of calibration image;(b)average reprojection error of calibration image
    Comparison of mean reprojection error
    Fig. 7. Comparison of mean reprojection error
    Parameterαβu0v0γk1k2
    Initial value of parameter663.0130676.3462324.8492255.2341-8.97060.0723-0.9763
    Zhang's method657.3730657.8142301.7822244.05110.5281-0.25770.1344
    PSO669.4958684.3106319.3003251.9557-3.7394-0.1439-1.1690
    GA658.9559659.4016302.7685245.103290.64935-0.25010.1043
    HPSO657.2879658.2075304.1057246.88690.1760-0.24760.1053
    Table 1. Optimization results of camera calibration parameters
    Yang Lei, Hongli Zhang, Cong Wang. Hybrid Particle-Swarm-Optimization Method for Accurately Calibrating Cameras[J]. Laser & Optoelectronics Progress, 2019, 56(21): 211506
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