Weighted Norm Sparse Error Constraint Based ADMM for Image Denoising

Table 1

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

	=10
Image	BM3D	EPLL	NCSR	WNNM	WSNM	WPNSEC
Monarch	33.24	33.17	33.21	33.40	33.51	34.93
Couple	32.17	32.08	32.50	32.84	32.93	35.81
House	34.42	34.21	35.16	35.42	35.57	36.83
Lena	32.89	33.16	34.31	34.62	34.81	35.49
Parrot	32.59	32.21	33.65	34.44	34.49	35.75
C. man	32.52	32.55	33.17	33.48	33.62	34.24
Boat	32.57	32.64	32.91	32.89	32.97	33.70
Leaves	31.84	32.17	33.04	33.11	33.35	34.95
Peppers	33.24	33.29	33.27	33.34	33.47	34.67
Airplane	33.32	33.21	33.41	33.52	33.74	34.61
Average	32.88	32.87	33.46	33.71	33.85	35.10
	=20
Image	BM3D	EPLL	NCSR	WNNM	WSNM	WPNSEC
Monarch	30.35	30.48	30.69	31.10	31.13	32.37
Couple	30.76	30.54	30.56	30.82	30.83	32.63
House	33.77	32.98	33.97	34.01	34.05	34.08
Lena	31.60	32.61	32.92	33.12	33.13	32.86
Parrot	29.96	29.97	32.16	30.19	30.21	33.03
C. man	30.28	30.34	30.48	30.75	30.77	31.47
Boat	29.69	30.66	30.74	31.00	31.02	31.26
Leaves	29.08	30.76	30.59	30.74	30.96	31.12
Peppers	31.14	31.17	31.26	31.53	31.55	31.86
Airplane	30.44	32.41	32.58	32.82	32.82	33.06
Average	30.71	31.19	31.60	31.65	31.74	32.26
	=30
Image	BM3D	EPLL	NCSR	WNNM	WSNM	WPNSEC
Monarch	28.36	28.35	28.46	28.91	28.93	28.96
Couple	30.08	28.61	28.57	28.98	29.02	30.68
House	32.08	31.22	32.07	32.52	32.54	32.69
Lena	29.55	31.41	29.43	29.83	31.48	30.08
Parrot	29.13	28.07	30.38	28.33	28.33	30.61
C. man	28.63	28.36	28.58	28.80	28.83	29.31
Boat	29.11	28.89	28.94	29.24	29.26	29.52
Leaves	27.82	27.38	28.14	28.61	28.62	28.64
Peppers	29.28	28.35	31.11	29.48	29.54	30.56
Airplane	27.56	30.41	30.70	30.87	30.92	31.21
Average	29.16	29.11	29.64	29.56	29.75	30.23
	=50
Image	BM3D	EPLL	NCSR	WNNM	WSNM	WPNSEC
Monarch	25.51	25.77	25.78	26.18	26.30	26.32
Couple	26.46	26.23	26.19	27.45	26.71	28.30
House	29.69	28.76	29.62	30.23	30.31	30.29
Lena	27.07	26.42	27.12	27.16	27.28	27.40
Parrot	25.89	25.83	27.88	26.00	26.10	28.23
C. man	26.13	26.03	26.15	26.42	26.44	26.62
Boat	26.78	26.65	26.67	26.97	27.01	26.88
Leaves	24.75	24.36	24.96	25.49	25.54	25.69
Peppers	26.68	26.62	28.07	26.81	26.94	28.77
Airplane	25.10	27.88	28.18	28.44	28.49	28.46
Average	26.41	26.46	27.06	27.12	27.11	27.70