• Laser & Optoelectronics Progress
  • Vol. 56, Issue 16, 161006 (2019)
Junrui Lü1, Xuegang Luo1、*, Shifeng Qi1, and Zhenming Peng2
Author Affiliations
  • 1 School of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan 617000, China
  • 2 School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China
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    DOI: 10.3788/LOP56.161006 Cite this Article Set citation alerts
    Junrui Lü, Xuegang Luo, Shifeng Qi, Zhenming Peng. Image Denoising Using Weighted Nuclear Norm Minimization with Preserving Local Structure[J]. Laser & Optoelectronics Progress, 2019, 56(16): 161006 Copy Citation Text show less
    Comparison of average values of PNSR and FSIM indexes for Berkeley test dataset images by various algorithms. (a) Comparison result of PNSR values; (b) comparison result of FSIM values
    Fig. 1. Comparison of average values of PNSR and FSIM indexes for Berkeley test dataset images by various algorithms. (a) Comparison result of PNSR values; (b) comparison result of FSIM values
    Comparison of denoising effects of noised MRI brain slices by various algorithms. (a) MRI slice with noise; (b) denoising effect by RM algorithm; (c) denoising effect by BM3D algorithm; (d) denoising effect by WSNM algorithm; (e) denoising effect by WNNM algorithm; (f) denoising effect by proposed algorithm
    Fig. 2. Comparison of denoising effects of noised MRI brain slices by various algorithms. (a) MRI slice with noise; (b) denoising effect by RM algorithm; (c) denoising effect by BM3D algorithm; (d) denoising effect by WSNM algorithm; (e) denoising effect by WNNM algorithm; (f) denoising effect by proposed algorithm
    Denoising residual components of Lena image (σ= 40). (a) Residual component of RM algorithm; (b) residual component of BM3D algorithm; (c) residual component of proposed algorithm; (d) residual component of WSNM algorithm; (e) residual component of WNNM algorithm
    Fig. 3. Denoising residual components of Lena image (σ= 40). (a) Residual component of RM algorithm; (b) residual component of BM3D algorithm; (c) residual component of proposed algorithm; (d) residual component of WSNM algorithm; (e) residual component of WNNM algorithm
    Comparison of denoising details of Male image in salt and pepper noise with the noise density of 50. Figs. 4(c)-(g) are detail parts of Fig. 4(a). (a) Original Male image; (b) salt and pepper noise image with noise density of 50; (c) result of proposed algorithm; (d) result of WNNM algorithm; (e) result of WSNM algorithm; (f) result of BM3D algorithm; (g) result of RM algorithm
    Fig. 4. Comparison of denoising details of Male image in salt and pepper noise with the noise density of 50. Figs. 4(c)-(g) are detail parts of Fig. 4(a). (a) Original Male image; (b) salt and pepper noise image with noise density of 50; (c) result of proposed algorithm; (d) result of WNNM algorithm; (e) result of WSNM algorithm; (f) result of BM3D algorithm; (g) result of RM algorithm
    pImageProposedWNNMRMWSNMBM3D
    20Boat32.590.95331.37/0.91331.23/0.90131.98/0.91231.88/0.921
    Male32.190.93931.58/0.91031.29/0.90731.45/0.92131.90/0.923
    Peppers32.230.90131.08/0.88931.25/0.89231.89/0. 91731.85/0. 922
    Pentagon31.950.92131.28/0.90131.75/0.86331.47/0.90231.90/0.910
    30Boat30.990.83328.98/0.82728.86/0.84229.19/0.84828.74/0.842
    Male30.650.89428.58/0.82127.96/0.82928.81/0.85928.52/0.831
    Peppers30.580.88728.71/0.84127.89/0.81928.76/0.81228.54/0.827
    Pentagon30.420.89328.63/0.83027.94/0.85328.68/0.80528.72/0.841
    40Boat28.220.82127.13/0.71226.31/0.70327.35/0.74527.10/0.727
    Male28.160.83726.78/0.70426.20/0.65127.46/0.76027.02/0.704
    Peppers28.440.80326.22/0.69226.16/0.60927.30/0.72526.52/0.687
    Pentagon28.680.81926.42/0.69926.05/0.60827.27/0.71326.32/0.647
    Table 1. Comparison between proposed algorithm and other algorithms on PSNR and FSIM by selecting four images of Boat, Male, Peppers, and Pentagon under different salt and pepper noise densities
    Junrui Lü, Xuegang Luo, Shifeng Qi, Zhenming Peng. Image Denoising Using Weighted Nuclear Norm Minimization with Preserving Local Structure[J]. Laser & Optoelectronics Progress, 2019, 56(16): 161006
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