Acta Optica Sinica, Volume. 40, Issue 16, 1612001(2020)

A Three-Dimensional Measurement Method Based on Multiple Reflected Images

Shunyu Xu and Xiao Xu*
Author Affiliations
  • School of Physics and Optoelectronics, South China University of Technology, Guangzhou, Guangdong 510641, China
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    Figures & Tables(23)
    Experimental platform schematic
    Experimental platform real shot
    Top view of pixel mapping
    Real shot of wooden block
    Centerline of a group of light bars
    World cordinate
    u(x,z) and v(y,z) cordinate of first group
    Fitting result of x about u
    Real shot of wooden block with tape
    Three-dimensional map of wooden block with tape
    Measured thickness of tape on wooden block at different positions with posture unchanged
    Measured thickness of tape on wooden block at different positions with posture changed
    Real shot of metal block with tape
    Three-dimensional map of metal block with tape
    Measurement results of metal block at different positions with posture unchanged
    Measured thickness of tape on metal block at different positions with posture changed
    Real shot of structure light on high reflective surface
    Measurement error distribution per rotation
    • Table 1. Linear regression result of y about u and v

      View table

      Table 1. Linear regression result of y about u and v

      InterceptVariable uVariable v
      -14.8760.003568-0.11492
    • Table 2. Measured tape thickness

      View table

      Table 2. Measured tape thickness

      No.Thickness /mm
      10.08
      20.11
      30.12
      40.08
      50.12
      60.11
      70.13
      80.07
    • Table 3. Error of each rotation of translation stage

      View table

      Table 3. Error of each rotation of translation stage

      Number of rotations12345678
      Nominal displacement /mm0.3310.3310.3310.3310.3310.3310.3310.331
      Measuring displacement /mm0.38970.2310.31030.31850.3280.33620.34440.3539
      Error/mm0.0587-0.100-0.0207-0.0125-0.0030.00520.01340.0229
    • Table 4. Measurement error of each rotation of left-headed translation stage

      View table

      Table 4. Measurement error of each rotation of left-headed translation stage

      Number of rotations123456
      Actual displacement /mm0.3310.3310.3310.3310.3310.331
      Measuring displacement /mm0.37050.30750.27050.40570.23650.4248
      Error /mm0.0395-0.0235-0.06450.0747-0.09450.0938
    • Table 5. Measurement error of each rotation of right-headed translation stage

      View table

      Table 5. Measurement error of each rotation of right-headed translation stage

      Number of rotations123456
      Actual displacement /mm0.3310.3310.3310.3310.3310.331
      Measuring displacement /mm0.36030.3790.31620.35490.32020.3063
      Error /mm0.02930.048-0.01480.0239-0.0108-0.0247
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    Shunyu Xu, Xiao Xu. A Three-Dimensional Measurement Method Based on Multiple Reflected Images[J]. Acta Optica Sinica, 2020, 40(16): 1612001

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Apr. 3, 2020

    Accepted: May. 6, 2020

    Published Online: Aug. 7, 2020

    The Author Email: Xu Xiao (physicsxuxiao@163.com)

    DOI:10.3788/AOS202040.1612001

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