Blind Poissonian Image Deblurring Regularized by a Denoiser Constraint and Deep Image Prior

Table 2

VIF values of the five methods.

Image	Gaussian blur	Imax	Degraded image	PID-Split	PIDSB-FA	PIDSB-NLFA	DeepRED	Our method
Lena	Size = 5, σ = 1.6	3,000	0.4482	0.4310	0.4513	0.5147	0.5182	0.5779
		4,000	0.4553	0.4327	0.4559	0.5122	0.5131	0.5925
		5,000	0.4603	0.4369	0.4614	0.5147	0.5136	0.5984
	Size = 15, σ = 1.6	3,000	0.4026	0.4307	0.4298	0.4938	0.5178	0.5585
		4,000	0.4074	0.4338	0.4346	0.4942	0.5282	0.5683
		5,000	0.4116	0.4393	0.4404	0.4946	0.5410	0.5745
	Size = 25, σ = 2	3,000	0.3484	0.3946	0.4761	0.4949	0.5130	0.5290
		4,000	0.3531	0.3973	0.4812	0.4962	0.5116	0.5297
		5,000	0.3566	0.4003	0.4842	0.4969	0.5290	0.5373
Cameraman	Size = 5, σ = 1.6	3,000	0.3086	0.4045	0.4332	0.4336	0.4513	0.4533
		4,000	0.3107	0.4133	0.4436	0.4395	0.4563	0.4675
		5,000	0.3140	0.4233	0.4450	0.4458	0.4573	0.4723
	Size = 15, σ = 2	3,000	0.2255	0.3132	0.3260	0.3860	0.3743	0.3981
		4,000	0.2280	0.3166	0.3347	0.3867	0.3890	0.4017
		5,000	0.2301	0.3195	0.3372	0.3861	0.3950	0.4105
	Size = 25, σ = 1.6	3,000	0.2705	0.3730	0.3854	0.3860	0.3996	0.4295
		4,000	0.2733	0.3805	0.3894	0.3876	0.4040	0.4407
		5,000	0.2760	0.3910	0.3903	0.3861	0.4185	0.4447
Butterfly	Size = 5, σ = 1.6	3,000	0.3940	0.4709	0.5535	0.5597	0.5768	0.5887
		4,000	0.3967	0.4815	0.5577	0.5614	0.5909	0.6028
		5,000	0.3982	0.4933	0.5602	0.5635	0.6074	0.6102
	Size = 15, σ = 2	2,000	0.2925	0.3818	0.4622	0.4717	0.5018	0.5124
		3,000	0.2957	0.3877	0.4661	0.4849	0.5228	0.5284
		4,000	0.2991	0.4002	0.4713	0.4967	0.5335	0.5390
	Size = 25, σ = 1.6	3,000	0.3471	0.4119	0.5117	0.5292	0.5478	0.5613
		4,000	0.3492	0.4189	0.5142	0.5325	0.5488	0.5630
		5,000	0.3507	0.4263	0.5163	0.5358	0.5660	0.5800
Zebra	Size = 5, σ = 1.6	3,000	0.3913	0.4007	0.4905	0.5192	0.4913	0.5206
		4,000	0.3979	0.4038	0.4957	0.5278	0.5106	0.5302
		5,000	0.4020	0.4070	.04992	0.5109	0.5179	0.5355
	Size = 15, σ = 2	3,000	0.2832	0.3348	0.3982	0.4094	0.4295	0.4490
		4,000	0.2878	0.3387	0.4026	0.4155	0.4394	0.4590
		5,000	0.2911	0.3429	0.4071	0.4219	0.4448	0.4622
	Size = 25, σ = 1.6	3,000	0.3402	0.3697	0.4066	0.4712	0.4763	0.4933
		4,000	0.3463	0.3731	0.4100	0.4789	0.4850	0.5016
		5,000	0.3504	0.3768	0.4136	0.4857	0.4959	0.5082
House	Size = 5, σ = 1.6	3,000	0.3842	0.4028	0.4472	0.5040	0.5062	0.5156
		4,000	0.3898	0.4081	0.4563	0.5049	0.5103	0.5172
		5,000	0.3924	0.4127	0.4659	0.5047	0.5133	0.5320
	Size = 15, σ = 2	3,000	0.2914	0.3620	0.4378	04357	0.4334	0.4559
		4,000	0.2929	0.3688	0.4380	0.4373	0.4370	0.4680
		5,000	0.2946	0.3753	0.4404	0.4375	0.4389	0.4749
	Size = 25, σ = 1.6	3,000	0.3429	0.3743	0.4653	0.4719	0.4522	0.4946
		4,000	0.3496	0.3783	0.4741	0.4724	0.4686	0.5037
		5,000	0.3495	0.3823	0.4752	0.4663	0.4703	0.5091