Acta Optica Sinica, Volume. 40, Issue 23, 2315001(2020)

Error Analysis and Compensation of Galvanometer Laser Scanning Measurement System

Teng Wang, Shuming Yang*, Shusheng Li, Ye Yuan, Pengyu Hu, Tao Liu, and Shuhai Jia
Author Affiliations
  • State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China
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    Figures & Tables(22)
    Working principle diagram of galvanometer laser scanning measurement system
    Structure diagram of galvanometer laser scanning measurement system
    Connection diagram of coupling and galvanometer lens. (a) Isometric view; (b) front view
    Schematic of calibration device. (a) Side view; (b) isometric view
    World coordinate system on upper and bottom calibration plates
    Schematic of system calibration
    Schematic of model of galvanometer scanning measurement system
    Error transfer function curves of Δφ in different directions. (a) X axis direction; (b) Z axis direction
    Error transfer function curves of Δp in different directions. (a) X axis direction; (b) Z axis direction
    Effect of surface properties on Δp value. (a) Schematic of obliquely irradiated object with laser; (b) offset curves between gray centroid and geometric center
    Schematic of system installation error. (a) Light plane intersects axis of rotation; (b) light plane is parallel to axis of rotation
    Calibration device for double checkerboard
    Fitting results of light plane in camera coordinate system and its partial enlarged view
    Angle error curves of adjacent light planes
    Calibration curves of optical plane rotation error
    Three-dimensional point cloud of checkerboard flat panel. (a) Original image; (b) after error compensation
    Ceramic standard ball. (a) Physical image; (b) 3D point cloud
    Error curves under different conditions. (a) Standard ball diameter; (b) ball center distance
    Measurement results of 3D printed models and plaster models. (a) Real models; (b) 3D point clouds; (c) front views; (d) side views
    • Table 1. Measurement results of standard ball before error compensation

      View table

      Table 1. Measurement results of standard ball before error compensation

      Ball positionDiameter of A10 /mmDiameter of B10 /mmCenter distance /mmDiameter error of A10 /mmDiameter error of B10 /mmCenter distance error /mm
      129.78029.65959.044-0.226-0.347-0.911
      229.62729.74858.976-0.379-0.258-0.979
      329.42829.44859.277-0.578-0.558-0.678
      429.26929.25959.418-0.736-0.746-0.537
      529.55029.26459.617-0.456-0.741-0.338
      629.49729.68259.307-0.508-0.324-0.648
      729.31229.79659.447-0.694-0.210-0.508
      829.40529.48859.110-0.601-0.517-0.845
      929.74729.68659.292-0.259-0.320-0.663
      1029.33529.55259.013-0.671-0.454-0.942
    • Table 2. Measurement results of standard ball after error compensation

      View table

      Table 2. Measurement results of standard ball after error compensation

      Ball positionDiameter of A10 /mmDiameter of B10 /mmCenter distance /mmDiameter error of A10 /mmDiameter error of B10 /mmCenter distance error /mm
      130.12130.06360.0690.1160.0700.114
      229.96330.04260.049-0.0430.0490.094
      330.09130.09960.0190.0860.1060.064
      430.00830.05759.9560.0020.0640.001
      530.09129.98859.9320.085-0.005-0.023
      630.06130.09959.9090.0550.106-0.046
      730.04130.02159.9340.0350.028-0.021
      829.97929.94359.971-0.026-0.0510.016
      930.11730.07859.8930.1110.085-0.062
      1030.11930.11259.8930.1140.119-0.062
    • Table 3. Influence of error compensation on RSME and standard deviation

      View table

      Table 3. Influence of error compensation on RSME and standard deviation

      ItemsBefore error compensationAfter error compensationDecreased percentage
      A10 /mmB10 /mmCenter distance /mmA10 /mmB10 /mmCenter distance /mmA10 /%B10 /%Center distance /%
      RSME0.5380.4830.7330.0780.0770.06185.5084.0691.68
      Standard deviation0.1700.1810.2000.0560.0510.06067.0671.8270.00
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    Teng Wang, Shuming Yang, Shusheng Li, Ye Yuan, Pengyu Hu, Tao Liu, Shuhai Jia. Error Analysis and Compensation of Galvanometer Laser Scanning Measurement System[J]. Acta Optica Sinica, 2020, 40(23): 2315001

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    Paper Information

    Category: Machine Vision

    Received: Jul. 13, 2020

    Accepted: Aug. 7, 2020

    Published Online: Dec. 1, 2020

    The Author Email: Yang Shuming (shuming.yang@mail.xjtu.eud.cn)

    DOI:10.3788/AOS202040.2315001

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