Fusion of External and Internal Prior Information for the Removal of Gaussian Noise in Images
Abstract
:1. Introduction
2. Algorithm Description
2.1. Input Image for Using Internal Information
2.2. Finding the 1-D Sorted Image
2.3. Finding the 2-D Image of Lxl Size and Patch Matrix
2.4. PCA and Noise Removal
2.5. Finding the Estimated Lxl Size Image and Its 1-D Sorted Image
2.6. Finding the Indices of the 2-D Training Image as an External Information
2.7. Mapping Process
2.8. Algorithm Termination
3. Simulation Results
4. Conclusions
Funding
Conflicts of Interest
References
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σ = 20 | 512 × 512 | 1024 × 256 | 2048 × 128 | 4096 × 64 | 8192 × 32 | 16,384 × 16 |
---|---|---|---|---|---|---|
Lena | 33.36 | 33.92 | 35.12 | 36.86 | 37.2 | 28.26 |
Pepper | 33.7 | 34.07 | 34.35 | 36.75 | 35.62 | 30.88 |
Bridge | 36.05 | 36.38 | 36.80 | 37.20 | 34.44 | 28.32 |
σ = 20 | 7 × 7 | 9 × 9 | 11 × 11 | 13 × 13 | 15 × 15 | 17 × 17 |
---|---|---|---|---|---|---|
Lena(original) | 35.44 | 35.4 | 37.2 | 36.54 | 36.12 | 34.00 |
Lena(BM3D,5) | 34.07 | 34.05 | 35.31 | 34.92 | 34.62 | 32.98 |
Pepper(original) | 36.21 | 36.63 | 35.62 | 33.42 | 33.46 | 33.72 |
Bridge(original) | 35.02 | 34.51 | 34.44 | 33.34 | 33.25 | 32.54 |
Lake(original) | 33.87 | 37.19 | 35.41 | 31.64 | 31.34 | 32.02 |
σ = 30 | Th = 0.1 | Th = 0.2 | Th = 0.3 | Th = 0.4 | Th = 0.5 | Th = 0.6 |
---|---|---|---|---|---|---|
Lena | 31.52/28.3 | 31.24/29.1 | 31.17/29.4 | 30.63/32 | 30.46/33.3 | 30.79/31 |
Pepper | 31.43/28.6 | 31.25/29.2 | 31.15/29.6 | 30.75/31.4 | 30.41/34 | 30.82/31 |
Bridge | 31.06/29.94 | 31.02/30.14 | 30.79/31.18 | 30.5/33.17 | 30.7/31.76 | 31.35/28.88 |
Baboon | 31.57/28.3 | 31.4/28.8 | 31.17/29.5 | 30.550/32.9 | 30.554/32.76 | 30.80/31.12 |
Lake | 32.55/26.1 | 32.27/26.6 | 32.15/26.9 | 32/27.2 | 30.53/33 | 30.50/33.2 |
σ = 20 | New(original) | New, BM3D(5) | BM3D | PGPCA | EPLL |
Lena | 20.20 | 20.49 | 8.43 | 16.76 | 821.04 |
Pepper | 20.96 | 20.42 | 8.96 | 17.51 | 870.67 |
σ = 20 | Original, New | PGPCA(5), New | BM3D | PGPCA | EPLL |
---|---|---|---|---|---|
Lena(0.5) | 37.2 | 35.24 | 33.29 | 32.45 | 32.9 |
Pepper(0.4) | 35.62 | 34.06 | 33.64 | 32.59 | 33.29 |
Lake(0.6) | 35.41 | 32.92 | 30.33 | 30 | 30.39 |
Boat(0.3) | 33.08 | 31.79 | 31.12 | 30.39 | 30.96 |
Baboon(0.4) | 37.68 | 33.57 | 26.57 | 26.23 | 26.73 |
Fruits(0.3) | 36.80 | 34.64 | 32.76 | 31.70 | 32.67 |
Cat(0.3) | 36.93 | 34.22 | 29.85 | 29.55 | 29.65 |
σ = 30 | Original, New | BM3D(5), New | BM3D(10), New | BM3D | PGPCA |
---|---|---|---|---|---|
Lena(0.5) | 33.3 | 32.36 | 31.44 | 31.5 | 31.29 |
Pepper(0.5) | 34 | 32.91 | 31.99 | 31.94 | 31.46 |
Bridge(0.4) | 33.17 | 31.34 | 29.01 | 25.43 | 25.92 |
Baboon(0.4) | 32.9 | 30.96 | 28.48 | 24.52 | 25 |
Lake(0.6) | 33.2 | 31.36 | 29.71 | 28.53 | 28.87 |
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Awad, A.S. Fusion of External and Internal Prior Information for the Removal of Gaussian Noise in Images. J. Imaging 2020, 6, 103. https://doi.org/10.3390/jimaging6100103
Awad AS. Fusion of External and Internal Prior Information for the Removal of Gaussian Noise in Images. Journal of Imaging. 2020; 6(10):103. https://doi.org/10.3390/jimaging6100103
Chicago/Turabian StyleAwad, Ali S. 2020. "Fusion of External and Internal Prior Information for the Removal of Gaussian Noise in Images" Journal of Imaging 6, no. 10: 103. https://doi.org/10.3390/jimaging6100103
APA StyleAwad, A. S. (2020). Fusion of External and Internal Prior Information for the Removal of Gaussian Noise in Images. Journal of Imaging, 6(10), 103. https://doi.org/10.3390/jimaging6100103