• Laser & Optoelectronics Progress
  • Vol. 58, Issue 24, 2415006 (2021)
Aiguo Zhou, Jiangyang Yu*, Jiakun Pu, Zhenyu Li**, and Ronghui Wei
Author Affiliations
  • School of Mechanical Engineering, Tongji University, Shanghai 201804, China
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    DOI: 10.3788/LOP202158.2415006 Cite this Article Set citation alerts
    Aiguo Zhou, Jiangyang Yu, Jiakun Pu, Zhenyu Li, Ronghui Wei. Positioning Algorithm of Homonymous Object Points in Multi-Vision System Based on Weighted Levenberg-Marquardt[J]. Laser & Optoelectronics Progress, 2021, 58(24): 2415006 Copy Citation Text show less
    Visual imaging model
    Fig. 1. Visual imaging model
    Ideal multi-vision imaging system
    Fig. 2. Ideal multi-vision imaging system
    Real multi-vision imaging system
    Fig. 3. Real multi-vision imaging system
    Real vision measurement model
    Fig. 4. Real vision measurement model
    Simplified vision measurement model
    Fig. 5. Simplified vision measurement model
    Top view of experiment scene
    Fig. 6. Top view of experiment scene
    Comparison of pixel error
    Fig. 7. Comparison of pixel error
    Comparison of truth error
    Fig. 8. Comparison of truth error
    Algorithm convergence curve
    Fig. 9. Algorithm convergence curve
    Cameraf /mmu0 /pixelv0 /pixelk1 /10-5k2 /10-8p1 /10-6p2 /10-6
    C18.047821311.726979.6747.65049.19071.96087.3531
    C28.067591289.349936.0218.37719.46794.75392.6350
    C38.073611257.554941.2539.08455.28633.69314.5361
    C48.054701295.348967.6927.95848.03886.84723.7469
    Table 1. Calibration results of internal parameters
    CameraExternal parameter matrix
    C1-0.6424-0.0262-0.76593868.3 0.6957 0.3993-0.59712798.9 0.3215-0.9164-0.23832704.80001
    C2-0.5712-0.2832 0.7704-3942.6-0.8045 0.0071-0.5939 2876.2 0.1627-0.9590-0.2319 2649.70001
    C3 0.5606-0.0219 0.8278-3623.2-0.7669-0.3909 0.5090-2835.7 0.3124-0.9202-0.2360 2633.10001
    C40.5761 0.3102-0.7563 3767.80.7970-0.0079 0.6039-2776.40.1814-0.9506-0.2518 2838.40001
    Table 2. Calibration results of external parameters
    Experimental sequenceAlgorithm of reference [14]Weighted LM algorithm
    1148
    21612
    31311
    41710
    5169
    6119
    71211
    81510
    91913
    101210
    Average14.510.3
    Table 3. Number of iterations when convergence condition is reached
    Aiguo Zhou, Jiangyang Yu, Jiakun Pu, Zhenyu Li, Ronghui Wei. Positioning Algorithm of Homonymous Object Points in Multi-Vision System Based on Weighted Levenberg-Marquardt[J]. Laser & Optoelectronics Progress, 2021, 58(24): 2415006
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