Weighted Norm Sparse Error Constraint Based ADMM for Image Denoising

Table 2

Denoising FSIM results of different denoising algorithms under different standard deviations (the highest FSIM values are bold).

	=10
Image	BM3D	EPLL	NCSR	WNNM	WSNM	WPNSEC
Monarch	0.9578	0.9564	0.9624	0.9550	0.9567	0.9661
Couple	0.9794	0.9781	0.9818	0.9815	0.9843	0.9897
House	0.9511	0.9462	0.9601	0.9589	0.9590	0.9592
Lena	0.9653	0.9633	0.9819	0.9820	0.9831	0.9872
Parrot	0.9367	0.9364	0.9618	0.9549	0.9563	0.9621
C. man	0.9553	0.9561	0.9553	0.9530	0.9541	0.9590
Boat	0.9723	0.9726	0.9813	0.9814	0.9832	0.9879
Leaves	0.9492	0.9512	0.9730	0.9628	0.9642	0.9743
Peppers	0.9587	0.9573	0.9611	0.9530	0.9543	0.9612
Airplane	0.9396	0.9468	0.9563	0.9515	0.9532	0.9591
Average	0.9565	0.9564	0.9675	0.9634	0.9648	0.9706
	=20
Image	BM3D	EPLL	NCSR	WNNM	WSNM	WPNSEC
Monarch	0.9298	0.9294	0.9320	0.9176	0.9187	0.9389
Couple	0.9573	0.9461	0.9555	0.9532	0.9541	0.9583
House	0.9190	0.9173	0.9201	0.9177	0.9182	0.9202
Lena	0.9541	0.9551	0.9598	0.9601	0.9603	0.9357
Parrot	0.9345	0.9302	0.9348	0.9212	0.9237	0.9356
C. man	0.9097	0.9095	0.9086	0.9096	0.9125	0.9175
Boat	0.9551	0.9537	0.9553	0.9561	0.9574	0.9621
Leaves	0.9527	0.9493	0.9469	0.9296	0.9326	0.9503
Peppers	0.9322	0.9314	0.9327	0.9149	0.9161	0.9341
Airplane	0.8995	0.9172	0.9185	0.9116	0.9142	0.9218
Average	0.9344	0.9339	0.9367	0.9292	0.9308	0.9375
	=30
Image	BM3D	EPLL	NCSR	WNNM	WSNM	WPNSEC
Monarch	0.9013	0.8994	0.9082	0.8898	0.8965	0.9183
Couple	0.9279	0.9273	0.9285	0.9323	0.9344	0.9311
House	0.8991	0.8987	0.9000	0.8930	0.8952	0.9023
Lena	0.9563	0.9531	0.9446	0.9452	0.9449	0.9453
Parrot	0.9194	0.9175	0.9208	0.8999	0.9051	0.9279
C. man	0.8632	0.8651	0.8707	0.8737	0.8739	0.8746
Boat	0.9351	0.9293	0.9309	0.9346	0.9351	0.9390
Leaves	0.9266	0.9185	0.9279	0.9041	0.9184	0.9284
Peppers	0.8996	0.9042	0.9126	0.8897	0.8931	0.9115
Airplane	0.8791	0.8788	0.8897	0.8865	0.8895	0.8967
Average	0.9108	0.9092	0.9130	0.9049	0.9086	0.9175
	=50
Image	BM3D	EPLL	NCSR	WNNM	WSNM	WPNSEC
Monarch	0.8601	0.8552	0.8615	0.8517	0.8573	0.8821
Couple	0.8746	0.8765	0.8800	0.8913	0.8928	0.8922
House	0.8573	0.8493	0.8675	0.8706	0.8741	0.8834
Lena	0.8921	0.8896	0.9191	0.9177	0.9182	0.9210
Parrot	0.8931	0.8779	0.8926	0.8855	0.8860	0.8994
C. man	0.7922	0.7869	0.8091	0.8279	0.8292	0.8350
Boat	0.8876	0.8815	0.8847	0.8954	0.8953	0.8939
Leaves	0.8564	0.8475	0.8865	0.8754	0.8791	0.9011
Peppers	0.8693	0.8531	0.8685	0.8489	0.8504	0.8777
Airplane	0.8360	0.8256	0.8378	0.8420	0.8432	0.8483
Average	0.8619	0.8543	0.8707	0.8705	0.8726	0.8834