• Optics and Precision Engineering
  • Vol. 31, Issue 9, 1295 (2023)
Yinxiao MIAO1,2, Xingyu WANG2, Hao ZHU2, Chenxing BAO2, and Jiubin TAN1,*
Author Affiliations
  • 1Institute of Ultra-precision Optoelectronic Instrument Engineering, Harbin Institute of Technology, Harbin5000, China
  • 2Beijing Aerospace Institute for Metrology and Measurement Technology, Beijing100076, China
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    DOI: 10.37188/OPE.20233109.1295 Cite this Article
    Yinxiao MIAO, Xingyu WANG, Hao ZHU, Chenxing BAO, Jiubin TAN. Model establishment and error correction of FMCW lidar[J]. Optics and Precision Engineering, 2023, 31(9): 1295 Copy Citation Text show less
    Optical system of FMCW lidar
    Fig. 1. Optical system of FMCW lidar
    Schematic diagram of lidar coordinate systems
    Fig. 2. Schematic diagram of lidar coordinate systems
    Coordinate transformation relationship for specular reflection
    Fig. 3. Coordinate transformation relationship for specular reflection
    Experimental layout of error correction
    Fig. 4. Experimental layout of error correction
    Sphere center and diameter by fitting point cloud
    Fig. 5. Sphere center and diameter by fitting point cloud
    Schematic diagram of ball center distance measurement error of laser tracker
    Fig. 6. Schematic diagram of ball center distance measurement error of laser tracker
    Sphere center distance measurement errors before and after error correction
    Fig. 7. Sphere center distance measurement errors before and after error correction
    Sphere diameter measurement errors before and after error correction
    Fig. 8. Sphere diameter measurement errors before and after error correction
    编号旋转角/rad平移参数/mm
    ΨθΦpxpypz
    1-0.002 400.009 121.158 17-1 747.046400.591305.789
    20.003 040.010 40-0.069 03-1 673.393426.603174.255
    30.014 910.006 93-0.165 74-2 744.145518.999178.604
    40.005 360.001 651.017 42886.9951 234.645174.747
    Table 1. Parameters of spatial transformation matrix
    实验俯仰坐标系光源坐标系
    2δx/mm2δy/mm2δα/(″)2δβ/(″)δθ2/(″)4δx/mm4δy/mm4δα/(″)4δβ/(″)
    1-9.130-9.24138.539-3.974-1.353-8.943-11.419-12.823-9.770
    2-9.443-9.44938.733-3.392-0.916-9.379-11.957-14.916-11.149
    3-9.655-9.53439.029-3.508-1.286-9.560-11.414-13.753-9.953
    4-9.493-8.93438.928-3.231-0.944-8.645-12.349-15.036-12.914
    均值-9.430-9.29038.807-3.526-1.125-9.132-11.785-14.132-10.946
    实验方位坐标系镜面坐标系
    1δx/mm1δy/mm1δz/mm1δα/(″)1δβ/(″)δθ1/(″)3δz/mm3δα/(″)3δβ/(″)
    191.597100.67920.494-21.008-57.291-10.554-136.5933.013-12.391
    293.32297.04820.052-21.728-56.117-10.343-135.6702.670-13.032
    392.35497.34018.121-21.548-56.411-11.693-134.4983.221-11.750
    492.248101.44318.283-22.449-54.944-11.449-135.4933.031-13.032
    均值92.38099.12819.237-21.683-56.191-11.010-135.5642.984-12.551
    Table 2. Error factors of four experiments
    编号

    跟踪仪

    基准值

    修正前修正后

    修正前

    误差

    修正后

    误差

    编号

    跟踪仪

    基准值

    修正前修正后

    修正前

    误差

    修正后

    误差

    10.000.000.000.000.00147 364.397 362.787 364.53-1.610.14
    2668.84668.95668.650.11-0.19157 367.407 366.097 367.67-1.310.27
    31 098.561 099.651 098.531.09-0.03167 202.007 200.297 202.25-1.710.25
    41 446.761 447.671 446.810.910.05176 595.076 593.366 595.27-1.710.20
    52 242.732 244.802 242.772.080.04186 434.886 434.176 435.00-0.720.12
    62 651.132 652.362 651.191.230.06196 538.116 539.966 538.181.850.07
    73 588.413 590.943 588.522.520.11206 553.296 554.886 553.241.59-0.05
    83 805.763 807.363 805.861.600.10216 296.776 300.016 296.783.240.01
    94 869.744 871.794 869.972.050.23225 660.775 664.445 660.783.670.01
    105 222.885 224.615 223.011.730.13235 224.115 227.095 224.102.99-0.01
    115 396.935 397.865 397.220.930.29244 509.894 514.064 509.914.170.02
    125 726.235 727.235 726.531.010.30253 047.563 050.423 047.712.860.15
    136 351.286 350.946 351.44-0.340.16261 693.531 694.561 693.381.03-0.15
    Table 3. Measured distances between adjacent balls
    Yinxiao MIAO, Xingyu WANG, Hao ZHU, Chenxing BAO, Jiubin TAN. Model establishment and error correction of FMCW lidar[J]. Optics and Precision Engineering, 2023, 31(9): 1295
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