Acta Optica Sinica, Volume. 43, Issue 11, 1110001(2023)

Calculation Method of Weight Coefficient for Tomographic PIV Based on FPA

Mingjun Feng1,3, Wu Zhou1,3、*, Haoqin Huang1,3, Dapeng Zhang1,3, Limin Gao2, and Xiaoshu Cai1,3
Author Affiliations
  • 1School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
  • 2National Key Laboratory of Aerodynamic Design and Research, Xi'an 710129, Shaanxi, China
  • 3Key Laboratory of Multiphase Flow and Heat Transfer for Power Engineering, Shanghai 200093, China
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    Figures & Tables(19)
    Schematic diagram of tomographic PIV
    Principle of voxel intensity reconstruction
    Voxel projection and its intensity integration process
    The principle of the forward projected area method. (a) Front view direction; (b) top view direction
    Imaging process. (a) Actual imaging; (b) pinhole camera model imaging
    Schematic diagram of pinhole camera model
    Particle imaging intensity calculation methods. (a) PSF method; (b) line integral method
    Scattering intensity. (a) Schematic diagram of the scattering intensity of the meter received by the camera; (b) normalized scattering intensity of simulate particle
    Projection of particle fields of different pppp on camera 1. (a) pppp=0.0125; (b) pppp=0.025; (c) pppp=0.05; (d) pppp=0.1
    Memory occupied and time taken of different weight calculation methods under 100×100×40 voxels
    Reconstruction results. (a) Comparison of reconstruction accuracy with traditional backward methods; (b) comparison of reconstruction accuracy with TSM method
    Weight matrix section at the center of X direction. (a) Calculation results of traditional backward method; (b) calculation results of FPA
    The similarity of weight values corresponding to all pixel of CCD 1, 2, 3
    Layout of experimental equipment
    Experimental image noise extraction and fitting results. (a) Image noise distribution; (b) image noise frequency distribution and fitting results
    Noise intensity distribution at different σ and its influence on reconstruction accuracy.(a) Noise intensity distribution at different σ; (b) reconstruction accuracy at different σ
    Reconstruction results when the camera collects at different angles
    • Table 1. Number of elements of weight matrix under different calculation methods

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      Table 1. Number of elements of weight matrix under different calculation methods

      Computing methodWeight matrix rowWeight matrix columnNumber of weight matrix elements
      Traditional backward method3×120×120100×100×401.72×1010
      TSM3×120×12040×46.91×106
      FPA3×100×100×4044.80×106
    • Table 2. Number of weight matrix elements after MLOS by different calculation methods

      View table

      Table 2. Number of weight matrix elements after MLOS by different calculation methods

      Computing methodWeight matrix rowWeight matrix columnNumber of weight matrix elements
      Traditional backward method13844264533.66×108
      TSM1384440×42.22×106
      FPA3×2645343.17×105
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    Mingjun Feng, Wu Zhou, Haoqin Huang, Dapeng Zhang, Limin Gao, Xiaoshu Cai. Calculation Method of Weight Coefficient for Tomographic PIV Based on FPA[J]. Acta Optica Sinica, 2023, 43(11): 1110001

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    Paper Information

    Category: Image Processing

    Received: Dec. 19, 2022

    Accepted: Feb. 9, 2023

    Published Online: May. 29, 2023

    The Author Email: Zhou Wu (zhouwu@usst.edu.cn)

    DOI:10.3788/AOS222154

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