• Acta Photonica Sinica
  • Vol. 51, Issue 11, 1112001 (2022)
Zuyang ZHAO1, Haihua CUI1、*, Kunpeng DU2, Yiming QU1, Dong QUAN2, and Zhiguo MU2
Author Affiliations
  • 1College of Mechanical & Electrical Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
  • 2AVIC Xi'an Aircraft Industry Group Company,Ltd,Xi'an 710089,China
  • show less
    DOI: 10.3788/gzxb20225111.1112001 Cite this Article
    Zuyang ZHAO, Haihua CUI, Kunpeng DU, Yiming QU, Dong QUAN, Zhiguo MU. Calibration Method of 3D Laser Projection Based on Homography Matrix[J]. Acta Photonica Sinica, 2022, 51(11): 1112001 Copy Citation Text show less
    1∶1 projection of target contour(triangle)from digital analog to real object
    Fig. 1. 1∶1 projection of target contour(triangle)from digital analog to real object
    3D laser projection positioning system mode
    Fig. 2. 3D laser projection positioning system mode
    Calibration stability analysis
    Fig. 3. Calibration stability analysis
    Error distribution of two calibrations
    Fig. 4. Error distribution of two calibrations
    Experimental disc calibration plate
    Fig. 5. Experimental disc calibration plate
    Target circle projection
    Fig. 6. Target circle projection
    Distance/mH1e1/pixelH2e2/pixel
    0.52.300.03715.220.0500.040.00-32.730.296
    0.14-2.11516.780.00-0.0319.03
    0.000.001.000.000.001.00
    1.00.00-2.09735.760.0400.040.00-30.980.302
    -1.99-0.06527.940.00-0.0431.78
    0.000.001.000.000.001.00
    1.51.87-0.09580.960.0500.050.00-22.500.432
    0.07-1.88576.600.00-0.0425.35
    0.000.001.000.000.001.00
    2.0-1.96-0.07504.460.0500.040.00-22.980.450
    -0.081.91429.270.00-0.0522.47
    0.000.001.000.000.001.00
    2.5-1.95-0.11808.600.0500.040.00-37.390.532
    -0.091.90390.610.00-0.0419.56
    0.000.001.000.000.001.00
    3.00.03-2.25675.840.0600.040.00-30.040.542
    -2.230.07494.670.00-0.0426.85
    0.000.001.000.000.001.00
    Table 1. 0.53 m homography matrix H1H2 and the corresponding reprojection error
    Circle1Circle2Circle3Circle4
    Target circle center of calibration board580.942577.481660.280656.734
    576.541519.386575.451518.742
    Projected torus center580.824577.161660.238656.564
    576.898519.614575.572518.941
    Pixel error/pixel0.3750.3920.1280.261
    Actual distance/mm0.200.210.160.14
    Average error/mm0.18
    Table 2. Accuracy analysis with a projection distance of 1.5 m
    Distance/mHomographic transformation method error/mmAverage error/mmCalibration time/min
    Circle1Circle2Circle3Circle4
    0.50.0500.1670.1470.1100.1185
    1.00.1050.1750.1400.1750.1485
    1.50.2020.2110.1690.1400.1815
    2.00.2500.1320.2750.2430.2255
    2.50.1860.2440.3420.2700.2665
    3.00.2800.1380.1760.3910.2715
    Table 3. Analysis of experimental data with a projection distance of 0.5~3 m
    MethodDistance of projection/mError of projection/mmAccuracy improvement effect
    Approximate model method/look-up table method410.500/
    Smart laser 3D projection method730.400/
    Werklicht Pro10.100/
    Werklicht Pro30.300/
    Calibration method in this article10.14860%
    Calibration method in this article30.27132%
    Table 4. Accuracy comparision
    Zuyang ZHAO, Haihua CUI, Kunpeng DU, Yiming QU, Dong QUAN, Zhiguo MU. Calibration Method of 3D Laser Projection Based on Homography Matrix[J]. Acta Photonica Sinica, 2022, 51(11): 1112001
    Download Citation