Journal of Infrared and Millimeter Waves, Volume. 43, Issue 4, 541(2024)

Terahertz imaging super-resolution algorithm based on Hilbert spatial curve filling

Mo-Xuan YANG1,2,3,4, Yuan-Meng ZHAO1,2,3,4、*, Hao-Xin LIU1,2,3,4, Yi LIU1,2,3,4, You WU1,2,3,4, and Cun-Lin ZHANG1,2,3,4
Author Affiliations
  • 1Key Laboratory of Terahertz Optoelectronics,Ministry of Education,Beijing 100048,China
  • 2Beijing Key Laboratory for Terahertz Spectroscopy and Imaging,Beijing 100048,China
  • 3Beijing Advanced Innovation Center for Imaging Theory and Technology,Beijing 100048,China
  • 4Department of Physics,Capital Normal University,Beijing 100048,China
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    Figures & Tables(15)
    Network structure diagram of terahertz image super-resolution based on curve filling in Hilbert space
    Schematic diagram of the attention mechanism
    Hilbert space curve generation diagram
    Schematic diagram of pixel reorganization process
    Schematic diagram of the experimental environment,(a) experimental equipment; (b) image acquisition
    Hilbert space curve layer training and test loss comparison diagram
    Comparison of mean square error of different models
    Comparison of peak signal-to-noise ratio of different models
    Structure similarity comparison diagram of different models
    Superresolution reconstruction comparison of terahertz images of different models,(a) original low-resolution image; (b) ViT; (c) ViT without Hilbert kernel size=3; (d) ViT without Hilbert kernel size=5; (e) ViT without Hilbert kernel size=7; (f) ViT with Hilbert kernel size=3; (g) ViT with Hilbert kernel size=5; (h) ViT with Hilbert kernel size=7; (i) real high-resolution image
    Comparison diagram of Hilbert transform effect on different frequency imaging methods
    Super resolution images based on different algorithms
    • Table 1. Comparison of neighborhood retention rates of different curves

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      Table 1. Comparison of neighborhood retention rates of different curves

      8-Nbr24-Nbr48-Nbr
      Z curve2.132 33.193 34.409 0
      Peano curve2.176 43.462 94.274 3
      Hilbert curve1.815 92.836 53.979 0
    • Table 2. Super-resolution image quality evaluation index

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      Table 2. Super-resolution image quality evaluation index

      Different algorithmMSEPSNR/dBSSIM
      ViT1.25147.108 70.946 3
      ViT without Hilbert kernel size=31.331 446.892 90.952 1
      ViT without Hilbert kernel size=51.21347.102 60.947 5
      ViT without Hilbert kernel size=71.254 547.149 80.949 6
      ViT with Hilbert kernel size=31.113 547.564 20.952 4
      ViT with Hilbert kernel size=51.123 547.566 20.953 7
      ViT with Hilbert kernel size=70.998 247.922 60.947 8
    • Table 3. Objective evaluation index of super resolution image quality based on different algorithms

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      Table 3. Objective evaluation index of super resolution image quality based on different algorithms

      Different algorithmMSEPSNR/dBSSIM
      Nearest25.793 634.015 70.868 3
      Bicubic27.339 433.762 90.898

      SRCNN

      SRResNet

      14.322 4

      1.489 2

      36.570 6

      46.401 3

      0.901 7

      0.924 1

      SRGAN1.592 346.110 60.956 2
      ESPCNN1.412 8446.629 90.935 1
      ViT1.251 047.108 70.946 3
      MDM1.148 247.530 60.939 9
      ViT with Hilbert kernel size=70.998 247.922 60.947 8
      HR01
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    Mo-Xuan YANG, Yuan-Meng ZHAO, Hao-Xin LIU, Yi LIU, You WU, Cun-Lin ZHANG. Terahertz imaging super-resolution algorithm based on Hilbert spatial curve filling[J]. Journal of Infrared and Millimeter Waves, 2024, 43(4): 541

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    Paper Information

    Category: Research Articles

    Received: Oct. 14, 2023

    Accepted: --

    Published Online: Aug. 27, 2024

    The Author Email: Yuan-Meng ZHAO (zhao.yuanmeng@cnu.edu.cn)

    DOI:10.11972/j.issn.1001-9014.2024.04.014

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