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

Table 6

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

		Noisy image	Method in [38]	TA_ABC	Ada_TA_ ABC	GL_ABC	Ada_GL_ABC
σ = 15	PSNR	24.6171	25.7532	25.724	28.3601	30.9423	31.5346
	SSIM	0.4084	0.4524	0.6394	0.7668	0.7398	0.8214
σ = 20	PSNR	22.1178	23.6034	25.1439	27.7603	29.5537	30.0694
	SSIM	0.3116	0.3615	0.5502	0.7002	0.6902	0.7429
σ = 25	PSNR	20.1543	21.7478	24.5397	26.8904	28.3857	28.7435
	SSIM	0.2465	0.2923	0.4724	0.6241	0.635	0.6674