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Acta Optica Sinica, Volume. 42, Issue 11, 1134025(2022)

Analytical Reconstruction for Source Translation Scanning Computed Tomography Based on Derivative-Hilbert Transform-Back projection

Wenjie Ge1, Haijun Yu2, jie Chen2, Song Ni1, and Fenglin Liu1,2,3、*
Author Affiliations
  • 1College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, China
  • 2Key Laboratory of Optoelectronic Technology and Systems, Ministry of Education, Chongqing University, Chongqing 400044, China
  • 3Engineering Research Center of Industrial Computed Tomography Nondestructive Testing, Ministry of Education, Chongqing University, Chongqing 400044, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (14)
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    References (32)
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    Figures & Tables(14)
    Illustration of STCT scanning mode

    Fig. 1. Illustration of STCT scanning mode

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    Planar geometric model of STCT

    Fig. 2. Planar geometric model of STCT

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    Geometric model of mSTCT[13]

    Fig. 3. Geometric model of mSTCT[13]

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    Data redundancy analysis for mSTCT

    Fig. 4. Data redundancy analysis for mSTCT

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    Reconstruction process by mSTCT-DHB algorithm. (a) Original image; (b) image reconstructed by using one segment of STCT projection data; (c) image reconstructed by using two segments of STCT projection data; (d) image reconstructed by using three segments of STCT projection data; (e) image reconstructed by using four segments of STCT projection data; (f) image reconstructed by using five segments of STCT projection data

    Fig. 5. Reconstruction process by mSTCT-DHB algorithm. (a) Original image; (b) image reconstructed by using one segment of STCT projection data; (c) image reconstructed by using two segments of STCT projection data; (d) image reconstructed by using three segments of STCT projection data; (e) image reconstructed by using four segments of STCT projection data; (f) image reconstructed by using five segments of STCT projection data

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    Comparison of reconstruction results. (a) Original image; (b) reconstruction result of STCT-SIRT algorithm; (c) reconstruction result of STCT-FBP algorithm; (d) reconstruction result of STCT-DHB algorithm; (e) local magnification of Fig. 6 (a); (f) local magnification of Fig. 6 (b); (g) local magnification of Fig. 6 (c); (h) local magnification of Fig. 6 (d)

    Fig. 6. Comparison of reconstruction results. (a) Original image; (b) reconstruction result of STCT-SIRT algorithm; (c) reconstruction result of STCT-FBP algorithm; (d) reconstruction result of STCT-DHB algorithm; (e) local magnification of Fig. 6 (a); (f) local magnification of Fig. 6 (b); (g) local magnification of Fig. 6 (c); (h) local magnification of Fig. 6 (d)

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    Sine diagrams of projection data and image of Poisson noise. (a) Original image; (b) image after adding noise; (c) image of Poisson noise

    Fig. 7. Sine diagrams of projection data and image of Poisson noise. (a) Original image; (b) image after adding noise; (c) image of Poisson noise

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    Comparison of reconstruction results after adding noise. (a) Original image; (b) reconstruction result of STCT-SIRT algorithm; (c) reconstruction result of STCT-FBP algorithm; (d) reconstruction result of STCT-DHB algorithm; (e) local magnification of Fig. 8 (a); (f) local magnification of Fig. 8 (b); (g) local magnification of Fig. 8 (c); (h) local magnification of Fig. 8 (d)

    Fig. 8. Comparison of reconstruction results after adding noise. (a) Original image; (b) reconstruction result of STCT-SIRT algorithm; (c) reconstruction result of STCT-FBP algorithm; (d) reconstruction result of STCT-DHB algorithm; (e) local magnification of Fig. 8 (a); (f) local magnification of Fig. 8 (b); (g) local magnification of Fig. 8 (c); (h) local magnification of Fig. 8 (d)

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    Profiles along 370th row of images reconstructed by different algorithms

    Fig. 9. Profiles along 370th row of images reconstructed by different algorithms

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    Experimental system of STCT

    Fig. 10. Experimental system of STCT

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    Comparison of reconstruction results of actual experiment. (a) Reconstruction result of STCT-SIRT algorithm; (b) reconstruction result of STCT-FBP algorithm; (c) reconstruction result of STCT-DHB algorithm; (d) local magnification of Fig. 11(a); (e) local magnification of Fig. 11(b); (f) local magnification of Fig. 11(c)

    Fig. 11. Comparison of reconstruction results of actual experiment. (a) Reconstruction result of STCT-SIRT algorithm; (b) reconstruction result of STCT-FBP algorithm; (c) reconstruction result of STCT-DHB algorithm; (d) local magnification of Fig. 11(a); (e) local magnification of Fig. 11(b); (f) local magnification of Fig. 11(c)

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    Profiles along 370th row of images reconstructed by different algorithms in actual experiment

    Fig. 12. Profiles along 370th row of images reconstructed by different algorithms in actual experiment

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    • Table 1. Parameters of numerical simulation

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      Table 1. Parameters of numerical simulation

      ParameterValue
      Detector pixel size /mm0.127
      Detector array length /pixel1024
      Number of sampling points3201
      Source translation distance 2S /mm16
      L /mm15
      H /mm190
      Reconstruction matrix size512×512

    • Table 2. Quantitative metrics of images reconstructed by different algorithms

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      Table 2. Quantitative metrics of images reconstructed by different algorithms

      MetricSTCT-SIRTSTCT-FBPSTCT-DHB
      RMSE0.04140.09400.0518
      PSNR29.617323.241127.0629
      SSIM0.89280.70400.8437
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    Wenjie Ge, Haijun Yu, jie Chen, Song Ni, Fenglin Liu. Analytical Reconstruction for Source Translation Scanning Computed Tomography Based on Derivative-Hilbert Transform-Back projection[J]. Acta Optica Sinica, 2022, 42(11): 1134025

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    Paper Information

    Category: X-Ray Optics

    Received: Nov. 19, 2021

    Accepted: Jan. 13, 2022

    Published Online: Jun. 3, 2022

    The Author Email: Fenglin Liu (liufl@cqu.edu.cn)

    DOI:10.3788/AOS202242.1134025

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology