Infrared and Laser Engineering, Volume. 52, Issue 1, 20220292(2023)
Single-image super-resolution reconstruction for continuous-wave terahertz imaging systems
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Fig. 5. Physical image of the sample. (a) Sample size diagram; (b) Sample location diagram
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
Table 1. Steps of ICNSL0 algorithm
View tableView in ArticleTable 1. Steps 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 2. NIQE, PSNR, SSIM, edge intensity and average gradient value of the reconstruction results of different algorithms
View tableView in ArticleTable 2. NIQE, PSNR, SSIM, edge intensity and average gradient value of the reconstruction results of different algorithms
Measures lanczos2 NEDI NSL0 ICNSL0 NIQE 8.648 6.352 7.499 6.481 PSNR 27.713 14.439 22.872 4 21.433 SSIM 0.897 1 0.266 0.304 0.864 2 ES 16.702 20.741 19.596 22.828 AG 1.525 1.961 1.796 2.096
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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
Paper Information
Category: Image processing
Received: Apr. 10, 2022
Accepted: --
Published Online: Feb. 9, 2023
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