Image Denoising of Adaptive Fractional Operator Based on Atangana–Baleanu Derivatives

Table 4

Comparison of the effectiveness of different fractional operators for the Goldhill image.

		Noisy image	Method in [38]	TA_ABC	Ada_TA_ABC	GL_ABC	Ada_GL_ABC
σ = 15	PSNR	24.6053	25.5984	25.8959	26.7892	29.265	29.8402
	SSIM	0.5246	0.562	0.5339	0.6021	0.7312	0.7831
σ = 20	PSNR	22.0996	23.2623	25.2557	26.3092	28.5353	28.9227
	SSIM	0.4058	0.449	0.4725	0.5579	0.7035	0.7343
σ = 25	PSNR	20.1693	21.6197	24.6607	25.8326	27.6622	27.9387
	SSIM	0.3205	0.3707	0.4226	0.5176	0.6634	0.6823