• Infrared and Laser Engineering
  • Vol. 52, Issue 1, 20220292 (2023)
Huan Wang1,2,3, Liying Lang2,3, Yajun Pang2,3, Lei Zhang4..., Wei Zheng5 and Sixing Xi4|Show fewer author(s)
Author Affiliations
  • 1School of Artificial Intelligence, Hebei University of Technology, Tianjin 300401, China
  • 2Center for Advanced Laser Technology, Hebei University of Technology, Tianjin 300401, China
  • 3Hebei Key Laboratory of Advanced Laser Technology and Equipment, Tianjin 300401, China
  • 4School of Mathematics & Physics Science and Engineering, Hebei University of Engineering, Handan 075000, China
  • 5Department of Physics and Electronic Engineering, Yuncheng University, Yuncheng 044000, China
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    DOI: 10.3788/IRLA20220292 Cite this Article
    Huan Wang, Liying Lang, Yajun Pang, Lei Zhang, Wei Zheng, Sixing Xi. Single-image super-resolution reconstruction for continuous-wave terahertz imaging systems[J]. Infrared and Laser Engineering, 2023, 52(1): 20220292 Copy Citation Text show less
    Optical path schematic of imaging system
    Fig. 1. Optical path schematic of imaging system
    Physical diagram of imaging system
    Fig. 2. Physical diagram of imaging system
    Scanned raw terahertz image
    Fig. 3. Scanned raw terahertz image
    Distribution of the three functions()三种函数的函数值分布()
    Fig. 4. Distribution of the three functions( ) 三种函数的函数值分布( )
    Physical image of the sample. (a) Sample size diagram; (b) Sample location diagram
    Fig. 5. Physical image of the sample. (a) Sample size diagram; (b) Sample location diagram
    Reconstructions images. (a) lanczos2 interpolation algorithm; (b) NEDI algorithm; (c) NSL0 algorithm; (d) ICNSL0 algorithm; (e) Detail of lanczos2 interpolation algorithm; (f) Detail of NEDI algorithm; (g) Detail of NSL0 algorithm; (h) Detail of ICNSL0 algorithm
    Fig. 6. Reconstructions images. (a) lanczos2 interpolation algorithm; (b) NEDI algorithm; (c) NSL0 algorithm; (d) ICNSL0 algorithm; (e) Detail of lanczos2 interpolation algorithm; (f) Detail of NEDI algorithm; (g) Detail of NSL0 algorithm; (h) Detail of ICNSL0 algorithm
    输入:图像Y,过完备字典D,递减数列 $ \sigma [{\sigma _1},{\sigma _2},...,{\sigma _n}] $,步长d, $ {r_0} = 0 $输出:稀疏表示系数 $ \alpha $
    1. 初始化计算公式 $\alpha = \alpha {}^{\rm{T} }{(\alpha \alpha {}^{\rm{T} })^{ - 1} }{{Y} }$2. 最速下降法取函数一阶导数的相反数,设为阻尼牛顿法初始值 3. 阻尼牛顿法更新优化方向: $ \alpha = \alpha + d $4. 梯度投影更新 $ \alpha $值: $\alpha = \alpha - \alpha {}^{\rm{T} }{(\alpha \alpha {}^{\rm{T} })^{ - 1} }(D\alpha - {{Y} })$5. 计算 $r = {{Y} } - D\alpha$, 若 $ r - {r_0} < \varepsilon $或超出最大迭代次数,输出结果 $ \alpha $; 否则跳至步骤3
    Table 1. Steps of ICNSL0 algorithm
    Measureslanczos2NEDINSL0ICNSL0
    NIQE8.6486.3527.4996.481
    PSNR27.71314.43922.872 421.433
    SSIM0.897 10.2660.3040.864 2
    ES16.70220.74119.59622.828
    AG1.5251.9611.7962.096
    Table 2. NIQE, PSNR, SSIM, edge intensity and average gradient value of the reconstruction results of different algorithms
    Huan Wang, Liying Lang, Yajun Pang, Lei Zhang, Wei Zheng, Sixing Xi. Single-image super-resolution reconstruction for continuous-wave terahertz imaging systems[J]. Infrared and Laser Engineering, 2023, 52(1): 20220292
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