Accurate Computation of Fractional-Order Exponential Moments

Table 4

GFrEMs amplitude and error data after filtering attack.

Filtering										MRE
Original image	4.6989	2.3031	2.8317	2.0184	1.7630	0.4170	2.2383	0.6868	0.4759	0
Median filtering 3 × 3	4.8520	2.4364	2.9286	2.0692	1.8443	0.4040	2.2637	0.7785	0.5097	0.0462
Median filtering 5 × 5	4.8887	2.4927	3.0907	2.1234	1.9249	0.4187	2.2692	0.7859	0.5636	0.0730
Gaussian filtering 3 × 3	4.6969	2.3042	2.8245	2.0224	1.7603	0.4115	2.2223	0.6867	0.4757	0.0042
Gaussian filtering 5 × 5	4.6969	2.3042	2.8245	2.0224	1.7603	0.4115	2.2222	0.6868	0.4757	0.0043
Average filtering 3 × 3	4.6935	2.3084	2.8107	2.0298	1.7580	0.4014	2.1893	0.6840	0.4742	0.0133
Average filtering 5 × 5	4.6835	2.3156	2.7835	2.0415	1.7536	0.3846	2.0962	0.6685	0.4606	0.0375