Acta Optica Sinica, Volume. 41, Issue 20, 2012002(2021)

Displacement Field Measurement of Speckle Images Using Convolutional Neural Network

Ju Huang, Cuiru Sun*, and Xianglong Lin
Author Affiliations
  • School of Mechanical Engineering, Tianjin University, Tianjin 300350, China
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    Figures & Tables(12)
    Fully-connected neural network model with a hidden layer
    Deformation modes of simulated speckle image. (a) Uniaxial tensile deformation; (b) shear deformation; (c) combined deformation of tension and shear
    Deformation of one dimension embedding each other
    Based on the random deformation field u and v, the simulated speckle images before and after deformation are obtained. (a) Simulated speckle image before deformation; (b) cloud diagram of given field v; (c) simulated speckle image after displacement; (d) cloud diagram of given field u
    CNN model for displacement field recognition of digital speckle image
    Simulated speckle image displacement field test results by CNN method. (a)--(d) Given displacement field; (e)--(h) measured displacement field by CNN
    Displacement field calculated results by CNN method and NIG-GA method. (a)--(d) Given displacement field; (e)--(h) measured results by CNN method; (i)--(l) measured results by NIG-GA method
    Uniaxial tensile image of silica gel. (a) Image when L=0.35 mm, F=0.23 N; (b) image when L=0.4 mm, F=0.24 N; (c) selected calculation area of displacement field
    Displacement field u for experiment image calculated by CNN method
    • Table 1. Composition of training set

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      Table 1. Composition of training set

      Deformation modeNumber of data
      Random displacement4000
      Axial uniform deformation3721
      Shear deformation3721
      Combined deformation of tension and shear2592
      Total14034
    • Table 2. Performance of CNN on test dataset

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      Table 2. Performance of CNN on test dataset

      Deformation modeDisplacement vDisplacement u
      Mean square error /pixelRelative error /%Mean square error /pixelRelative error /%
      Random0.017±6.7×10-6-2.8±0.170.021±8.6×10-6-2.5±0.1
      Axial uniform0.011±1.4×10-41.8±2.50.013±1.7×10-43.4±2.5
      Shear0.009±2.0×10-42.5±4.50.011±2.7×10-44.1±4.6
      Composite0.008±2.7×10-42.5±4.50.011±2.7×10-44.1±4.6
    • Table 3. Relative error of displacement field calculated by CNN method and NIG-GA method

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      Table 3. Relative error of displacement field calculated by CNN method and NIG-GA method

      Deformation modeCNN methodNIG-GA method
      Displacement vDisplacement uDisplacement vDisplacement u
      Random0.05±0.010.009±0.030.02±4.29-2.03±4.03
      Axial uniform0.07±0.010.02±0.080.08±1.511.61±5.12
      Shear-0.04±0.040.03±0.040.12±16.580.42±15.96
      Composite-0.01±0.02-0.06±0.030.07±1.540.90±1.68
      Total computing time /s0.35627.21
      Average time for once /s0.08156
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    Ju Huang, Cuiru Sun, Xianglong Lin. Displacement Field Measurement of Speckle Images Using Convolutional Neural Network[J]. Acta Optica Sinica, 2021, 41(20): 2012002

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Feb. 5, 2021

    Accepted: Apr. 29, 2021

    Published Online: Sep. 30, 2021

    The Author Email: Sun Cuiru (carry_sun@tju.edu.cn)

    DOI:10.3788/AOS202141.2012002

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