• Laser & Optoelectronics Progress
  • Vol. 59, Issue 14, 1415019 (2022)
Zhi Wang1,2, Mingli Dong1,2,*, Peng Sun1,2, Qilin Liu1,2..., Bixi Yan1,2 and Jun Wang1,2|Show fewer author(s)
Author Affiliations
  • 1Beijing Key Laboratory of Measurement and Control of Mechanical and Electrical System, Ministry of Education, Beijing Information Science & Technology University, Beijing 100192, China
  • 2School of Instrument Science and Opto-Electronics Engineering, Beijing Information Science & Technology University, Beijing 100192, China
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    DOI: 10.3788/LOP202259.1415019 Cite this Article Set citation alerts
    Zhi Wang, Mingli Dong, Peng Sun, Qilin Liu, Bixi Yan, Jun Wang. Joint Calibration and Orientation Method of Dual-Camera System for Wide-Range Visual Measurement[J]. Laser & Optoelectronics Progress, 2022, 59(14): 1415019 Copy Citation Text show less
    Flow chart of the proposed method
    Fig. 1. Flow chart of the proposed method
    Diagram of dual-camera measurement system based on relative exterior parameters
    Fig. 2. Diagram of dual-camera measurement system based on relative exterior parameters
    System site construction drawing
    Fig. 3. System site construction drawing
    Diagram of experiment. (a) Experimental site; (b) UAV posture
    Fig. 4. Diagram of experiment. (a) Experimental site; (b) UAV posture
    Pictures taken by left and right cameras. (a) Left camera; (b) right camera
    Fig. 5. Pictures taken by left and right cameras. (a) Left camera; (b) right camera
    Reconstruction of scale ruler in 3D space
    Fig. 6. Reconstruction of scale ruler in 3D space
    Histogram of reconstruction error of scale ruler
    Fig. 7. Histogram of reconstruction error of scale ruler
    ParameterLeft cameraRight camera
    Calibration resultStandard deviationCalibration resultStandard deviation
    Interior parameterc /mm20.9853.361×10-421.1263.761×10-4
    x0 /mm-0.1155.857×10-4-0.1475.780×10-4
    y0 /mm0.2698.491×10-40.3958.023×10-4
    Distortion coefficientK1 /mm-21.652×10-44.140×10-71.391×10-45.166×10-7
    K2 /mm-4-8.164×10-73.705×10-9-3.577×10-73.739×10-9
    K3 /mm-63.539×10-92.513×10-10-1.743×10-91.471×10-10
    P1 /mm-1-9.387×10-64.431×10-62.838×10-61.557×10-6
    P2 /mm-16.263×10-61.721×10-62.158×10-61.156×10-6
    Table 1. Calibration results of interior parameters and distortion coefficient after bundle adjustment
    Relative exterior parameterBundle adjustment determinationStandard deviation
    X0 /mm-10337.6560.635
    Y0 /mm-0.0150.085
    Z0 /mm-703.3090.521
    φ /(°)-25.9273.732×10-5
    ω /(°)8.972×10-31.081×10-4
    κ /(°)-8.552×10-33.586×10-5
    Table 2. Calibration results of relative exterior parameters of two cameras
    Mean error /mmRMSE /mmMaximum error /mm
    0.1932.3165.483
    Table 3. Average error, root mean square error, and maximum error of the reconstructed length
    Serial numberReconstructed spatial distance /mmError /mm
    1983.6700.473
    2983.159-0.038
    3983.2490.052
    4983.4750.278
    5983.2160.019
    6982.168-1.029
    7983.165-0.032
    8982.207-0.99
    Table 4. Reconstructed space distance and error of uncalibrated position
    Zhi Wang, Mingli Dong, Peng Sun, Qilin Liu, Bixi Yan, Jun Wang. Joint Calibration and Orientation Method of Dual-Camera System for Wide-Range Visual Measurement[J]. Laser & Optoelectronics Progress, 2022, 59(14): 1415019
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