Acta Optica Sinica, Volume. 38, Issue 9, 0910002(2018)

Collaborative Sparse Dictionary Learning for Reconstruction of Single Image Super Resolution

Kang Qiu1、*, Benshun Yi1,2、*, Mian Xiang1, and Jinsheng Xiao1,2
Author Affiliations
  • 1 School of Electronic Information, Wuhan University, Wuhan, Hubei 430072, China
  • 2 Collaborative Innovation Center for Geospatial Technology, Wuhan, Hubei 430079, China
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    Figures & Tables(7)
    L2,1-norm based on collaborative sparse representations
    Test images
    (a) Convergence of objective function Eq. (5) along with the increasing of iteration number; (b) average PSNR with different clustering number K; (c) average PSNR with different dictionary size M; (d) average PSNR with different λ
    Visual comparisons of different SR results on No. 1 image using different methods.(a) Original HR image; (b) Bicubic algorithm; (c) NE + LLE algorithm; (d) SCSR algorithm; (e) Zeyde algorithm; (f) ANR algorithm; (g) A+ algorithm; (h) SRCNN algorithm; (i) proposed algorithm
    Visual comparisons of different SR results on No. 3 image using different methods.(a) Original HR image; (b) Bicubic algorithm; (c) NE + LLE algorithm; (d) SCSR algorithm; (e) Zeyde algorithm;(f) ANR algorithm; (g) A+ algorithm; (h) SRCNN algorithm; (i) proposed algorithm
    • Table 1. Performance of magnification in PSNR (dB) and SSIM

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      Table 1. Performance of magnification in PSNR (dB) and SSIM

      No.PSNR/SSIM
      BicubicNE+LLESCSRZeydeANRA+SRCNNProposed
      121.59/0.68122.36/0.73822.31/0.73722.34/0.73622.43/0.74222.81/0.76322.75/0.76122.97/0.776
      228.43/0.88529.44/0.90529.10/0.89429.43/0.90529.52/0.90729.91/0.91429.93/0.91230.08/0.923
      333.91/0.90535.06/0.92234.29/0.90535.08/0.92235.13/0.92335.21/0.92435.31/0.91735.46/0.936
      429.67/0.90531.51/0.92831.06/0.91431.61/0.93031.56/0.92932.08/0.94031.97/0.94132.33/0.953
      527.84/0.85029.09/0.88128.90/0.87229.07/0.88029.16/0.88229.28/0.89129.18/0.89029.45/0.904
      623.71/0.87924.94/0.90424.98/0.89525.23/0.91525.03/0.90626.09/0.91625.48/0.89726.27/0.927
      727.90/0.84728.48/0.86628.35/0.85728.48/0.86728.49/0.86728.60/0.87328.71/0.87528.93/0.886
      823.42/0.79924.77/0.84224.66/0.82725.17/0.85524.77/0.84225.21/0.87525.34/0.87925.58/0.891
      Mean27.06/0.84428.21/0.87327.96/0.86328.30/0.87628.26/0.87528.65/0.88728.58/0.88428.89/0.900
    • Table 2. Average running time of different methods

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      Table 2. Average running time of different methods

      ItemMethod
      NE+LLESCSRZeydeANRA+SRCNNProposed
      Average running time /s21.1086.225.130.770.879.620.81
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    Kang Qiu, Benshun Yi, Mian Xiang, Jinsheng Xiao. Collaborative Sparse Dictionary Learning for Reconstruction of Single Image Super Resolution[J]. Acta Optica Sinica, 2018, 38(9): 0910002

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    Paper Information

    Category: Image Processing

    Received: Jan. 18, 2018

    Accepted: Apr. 16, 2018

    Published Online: May. 9, 2019

    The Author Email:

    DOI:10.3788/AOS201838.0910002

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