Research Article
Image Denoising of Adaptive Fractional Operator Based on Atangana–Baleanu Derivatives
Table 2
Comparison of the effectiveness of different fractional operators for the Lena image.
| | Noisy image | Method in [36] | TA_ABC | Ada_TA_ABC | GL_ABC | Ada_GL_ABC |
| σ = 15 | PSNR | 24.6047 | 25.8887 | 26.6857 | 28.3095 | 30.6827 | 31.2764 | SSIM | 0.4466 | 0.498 | 0.6325 | 0.7147 | 0.7498 | 0.8126 |
| σ = 20 | PSNR | 22.1006 | 23.6471 | 26.0032 | 27.6077 | 29.2995 | 29.9716 | SSIM | 0.3392 | 0.3953 | 0.556 | 0.6524 | 0.6924 | 0.7482 |
| σ = 25 | PSNR | 20.1839 | 22.0718 | 25.3131 | 27.0041 | 28.3211 | 28.7544 | SSIM | 0.2682 | 0.3296 | 0.4895 | 0.5979 | 0.6516 | 0.6845 |
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