Research Article
Image Denoising of Adaptive Fractional Operator Based on Atangana–Baleanu Derivatives
Table 5
Comparison of the effectiveness of different fractional operators for the Pepper image.
| | Noisy image | Method in [38] | TA_ABC | Ada_TA_ ABC | GL_ABC | Ada_GL_ABC |
| σ = 15 | PSNR | 24.6089 | 25.5672 | 26.6575 | 27.508 | 29.9746 | 30.3144 | SSIM | 0.4525 | 0.4913 | 0.6472 | 0.7039 | 0.7407 | 0.7979 |
| σ = 20 | PSNR | 22.1164 | 23.3792 | 26.0054 | 27.0188 | 28.8524 | 29.3238 | SSIM | 0.3451 | 0.3904 | 0.576 | 0.6504 | 0.6927 | 0.7383 |
| σ = 25 | PSNR | 20.1598 | 21.6034 | 25.2919 | 26.4364 | 27.72 | 28.2121 | SSIM | 0.2723 | 0.3178 | 0.5095 | 0.5944 | 0.6326 | 0.6733 |
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