Research Article
Multiplicative Noise Removal Based on the Linear Alternating Direction Method for a Hybrid Variational Model
Table 1
The denoising results for different algorithms corresponding to three noise levels.
| Image | | AA model | [6] | [12] | The new model | PSNR | Time | PSNR | Time | PSNR | Time | PSNR | Time |
| Boat | 3 | 21.28 | 12.23 | 21.94 | 24.74 | 21.92 | 1.61 | 22.48 | 6.83 | 5 | 22.28 | 8.06 | 23.06 | 13.94 | 23.15 | 2.05 | 23.32 | 3.78 | 9 | 23.57 | 5.54 | 24.45 | 6.21 | 24.56 | 6.38 | 24.68 | 4.37 |
| Cameraman | 3 | 21.40 | 11.93 | 22.34 | 19.39 | 23.01 | 13.68 | 23.01 | 16.59 | 5 | 22.44 | 8.25 | 23.57 | 9.87 | 24.04 | 1.98 | 24.22 | 17.26 | 9 | 23.89 | 25.96 | 25.19 | 9.91 | 25.70 | 13.09 | 25.64 | 17.00 |
| House | 3 | 22.73 | 14.22 | 22.73 | 27.64 | 23.22 | 27.84 | 23.89 | 16.59 | 5 | 24.21 | 10.43 | 24.54 | 24.54 | 24.70 | 27.01 | 25.47 | 17.02 | 9 | 25.74 | 7.05 | 26.01 | 25.07 | 26.25 | 21.90 | 26.70 | 16.86 |
| Lena | 3 | 21.42 | 11.80 | 22.79 | 22.09 | 23.03 | 1.82 | 23.22 | 3.18 | 5 | 22.93 | 8.02 | 24.21 | 11.21 | 24.41 | 1.03 | 24.53 | 3.79 | 9 | 24.33 | 6.87 | 25.88 | 10.61 | 25.94 | 4.64 | 26.03 | 2.72 |
| Pepper | 3 | 21.40 | 11.63 | 23.02 | 28.83 | 22.85 | 1.3 | 23.69 | 2.44 | 5 | 22.94 | 8.45 | 24.56 | 14.07 | 24.43 | 1.55 | 24.89 | 2.81 | 9 | 24.75 | 5.89 | 26.19 | 14.09 | 25.92 | 1.58 | 26.31 | 2.14 |
| Toys | 3 | 25.05 | 9.61 | 26.03 | 26.88 | 26.34 | 1.69 | 26.80 | 2.39 | 5 | 26.40 | 6.70 | 27.45 | 16.15 | 27.60 | 1.11 | 27.71 | 3.20 | 9 | 27.87 | 4.84 | 29.03 | 23.24 | 29.09 | 1.53 | 29.22 | 3.60 |
| Fields | 3 | 24.54 | 15.17 | 24.01 | 24.86 | 24.32 | 4.75 | 24.92 | 6.75 | 5 | 25.49 | 10.79 | 25.94 | 24.51 | 25.67 | 6.23 | 26.33 | 3.06 | 9 | 26.58 | 7.14 | 27.02 | 24.81 | 26.83 | 2.82 | 27.43 | 2.90 |
| Nimes | 3 | 23.90 | 4.40 | 24.59 | 26.00 | 24.79 | 1.22 | 24.84 | 1.21 | 5 | 25.02 | 2.60 | 25.44 | 1.45 | 25.82 | 1.55 | 25.85 | 1.01 | 9 | 26.57 | 1.63 | 26.93 | 1.60 | 27.12 | 2.18 | 27.40 | 1.01 |
| Synthetic image | 3 | 27.64 | 6.61 | 28.21 | 25.32 | 28.87 | 23.47 | 28.92 | 16.57 | 5 | 29.12 | 4.92 | 29.80 | 27.34 | 30.40 | 28.65 | 30.52 | 17.00 | 9 | 31.03 | 3.18 | 31.71 | 16.50 | 32.36 | 16.75 | 32.44 | 17.28 |
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