• Laser & Optoelectronics Progress
  • Vol. 60, Issue 20, 2015003 (2023)
Yifan Xiao* and Wei Hu
Author Affiliations
  • School of Electrical Engineering and Automation, Henan Polytechnic University, Henan 454000, Jiaozuo , China
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    DOI: 10.3788/LOP222787 Cite this Article Set citation alerts
    Yifan Xiao, Wei Hu. High-Precision Calibration Based on Multi-Camera System[J]. Laser & Optoelectronics Progress, 2023, 60(20): 2015003 Copy Citation Text show less
    Flow chart of multi-camera joint calibration
    Fig. 1. Flow chart of multi-camera joint calibration
    Axis distribution of the world coordinate system of the calibration plate
    Fig. 2. Axis distribution of the world coordinate system of the calibration plate
    Axis distribution of pixel coordinate system of calibration board. (a) Original drawing; (b) extracting the center of the circle; (c) center sorting
    Fig. 3. Axis distribution of pixel coordinate system of calibration board. (a) Original drawing; (b) extracting the center of the circle; (c) center sorting
    Correction of perspective deviation. (a) Before correction; (b) after correction
    Fig. 4. Correction of perspective deviation. (a) Before correction; (b) after correction
    Special calibration board
    Fig. 5. Special calibration board
    Physical drawing of rear cover laminating module
    Fig. 6. Physical drawing of rear cover laminating module
    External parameter display after optimization
    Fig. 7. External parameter display after optimization
    Re-projection error comparison. (a) Schematic diagram of reprojection error of DLT method and proposed method; (b) re-projection error difference curve of DLT method and proposed method
    Fig. 8. Re-projection error comparison. (a) Schematic diagram of reprojection error of DLT method and proposed method; (b) re-projection error difference curve of DLT method and proposed method
    Serial numberCamera 1Camera 2
    Pixel coordinate /pixelMechanical coordinate /mmPixel coordinate /pixelMechanical coordinate /mm
    1(111.871,-93.072)(0,0)(-186.984,-128.707)(220,0)
    2(258.103,-93.072)(10,0)(-60.295,-201.856)(230,0)
    3(111.873,-209.335)(0,10)(-245.119,-229.391)(220,10)
    4(258.105,-209.335)(10,10)(-118.426,-302.548)(230,10)
    Table 1. Pixels and mechanical coordinates for calibrating the center of the plate
    Internal referencefxfyγu0v0a1a2
    Reference initial value2971.072971.071296.00972.0000
    After optimization2976.702970.210.00051390.45988.32-0.15720.6562
    Table 2. Comparison of parameters before and after Levenberg-Marquardt algorithm optimization
    Calibration methodRe-projection error /pixel
    Traditional calibration method0.02591
    Proposed method0.00866
    Table 3. Comparison of average re-projection error of camera calibration