A Decision-Based Modified Total Variation Diffusion Method for Impulse Noise Removal

Table 9

The PSNR/SSIM results from different methods in RDM.

Methods	Random valued impulse noise density
	5%	10%	20%	30%	40%	50%	60%
Miscellaneous image: Monarch
Noisy	21.96/0.62	18.88/0.46	15.92/0.31	14.14/0.23	12.82/0.17	11.86/0.13	11.08/0.10
MED	29.97/0.95	28.80/0.94	26.46/0.90	24.17/0.82	21.79/0.69	19.55/0.54	17.42/0.40
WMF	31.95/0.97	29.77/0.96	26.59/0.90	23.63/0.79	20.87/0.65	18.55/0.49	16.62/0.36
SGM	30.80/0.97	29.30/0.96	27.43/0.93	26.14/0.91	25.30/0.88	23.43/0.81	21.09/0.71
TVD	25.76/0.79	24.04/0.77	21.89/0.71	20.19/0.67	18.61/0.61	17.38/0.55	16.33/0.50
NSDD	29.54/0.92	27.65/0.88	26.73/0.87	25.42/0.85	23.83/0.79	22.00/0.72	20.71/0.64
Ours	31.00/0.97	29.49/0.96	27.70/0.94	26.16/0.91	24.83/0.88	23.26/0.84	21.52/0.78
Miscellaneous image: Lena
Noisy	22.39/0.51	19.25/0.32	16.21/0.17	14.46/0.11	13.25/0.08	12.28/0.06	11.47/0.05
MED	34.58/0.92	33.60/0.91	31.03/0.88	27.81/0.79	24.52/0.66	21.48/0.49	18.88/0.33
WMF	35.71/0.94	34.00/0.93	30.30/0.88	26.37/0.76	23.17/0.60	20.24/0.42	17.93/0.28
SGM	37.27/0.97	35.74/0.96	33.74/0.94	32.14/0.91	30.73/0.88	28.45/0.81	25.18/0.69
TVD	28.04/0.76	26.68/0.74	24.37/0.72	22.41/0.69	20.86/0.67	19.43/0.64	18.14/0.62
NSDD	35.01/0.92	33.37/0.89	31.76/0.87	30.50/0.84	28.59/0.79	26.27/0.72	24.06/0.63
Ours	37.63/0.98	36.13/0.97	34.06/0.95	32.31/0.93	30.92/0.90	29.54/0.87	27.88/0.81
Texture image: Fence
Noisy	23.48/0.59	20.39/0.38	17.38/0.21	15.60/0.13	14.35/0.09	13.37/0.06	12.57/0.05
MED	33.26/0.84	32.76/0.84	31.39/0.81	29.54/0.76	27.09/0.67	24.48/0.55	22.06/0.41
WMF	34.15/0.88	33.26/0.87	31.19/0.84	28.36/0.76	25.60/0.64	22.97/0.49	20.76/0.35
SGM	37.46/0.95	36.11/0.93	34.17/0.91	32.73/0.87	31.33/0.84	29.45/0.79	26.47/0.67
TVD	28.30/0.65	27.54/0.62	26.45/0.58	25.42/0.55	24.54/0.52	23.73/0.49	22.95/0.46
NSDD	34.33/0.89	33.34/0.86	32.00/0.82	31.03/0.79	29.45/0.74	27.76/0.68	26.09/0.60
Ours	41.05/0.98	38.77/0.97	36.24/0.94	34.50/0.91	33.08/0.87	31.68/0.83	30.25/0.77
Texture image: Straw
Noisy	21.41/0.68	18.39/0.50	15.37/0.31	13.61/0.22	12.36/0.16	11.38/0.11	10.59/0.08
MED	31.75/0.92	30.70/0.90	28.24/0.87	25.19/0.79	21.96/0.67	19.12/0.53	16.71/0.40
WMF	32.95/0.94	31.54/0.93	28.09/0.87	24.30/0.78	21.01/0.64	18.22/0.49	16.04/0.36
SGM	34.92/0.97	33.34/0.95	31.32/0.93	29.69/0.91	28.29/0.88	26.15/0.82	22.67/0.71
TVD	24.64/0.69	23.29/0.62	21.31/0.56	19.60/0.51	18.10/0.46	16.76/0.41	15.60/0.37
NSDD	33.10/0.94	31.18/0.92	29.16/0.88	27.50/0.84	25.15/0.77	22.79/0.68	20.91/0.59
Ours	37.68/0.98	35.22/0.97	32.71/0.95	30.97/0.92	29.36/0.89	27.53/0.85	25.17/0.77
Biomedical image: Algae
Noisy	23.62/0.46	20.48/0.25	17.48/0.12	15.68/0.07	14.42/0.05	13.47/0.04	12.68/0.03
MED	35.20/0.81	34.85/0.81	33.33/0.79	30.63/0.73	27.75/0.63	25.16/0.49	22.51/0.33
WMF	35.75/0.85	34.13/0.84	31.96/0.80	28.76/0.71	25.87/0.57	23.33/0.40	20.94/0.26
SGM	39.92/0.95	38.59/0.93	36.42/0.90	34.91/0.86	33.68/0.83	31.16/0.76	27.59/0.63
TVD	32.94/0.76	31.84/0.76	30.26/0.75	28.51/0.74	27.04/0.74	25.98/0.73	24.83/0.72
NSDD	35.44/0.83	35.56/0.83	34.02/0.79	34.06/0.78	32.61/0.76	30.71/0.71	28.84/0.64
Ours	42.75/0.98	40.85/0.96	38.55/0.93	37.04/0.91	35.52/0.87	34.17/0.83	32.60/0.79
Biomedical image: Heart
Noisy	19.97/0.33	16.99/0.15	13.90/0.06	12.16/0.03	10.88/0.02	9.91/0.02	9.14/0.01
MED	43.10/0.98	40.84/0.97	33.80/0.89	26.19/0.66	20.96/0.38	17.41/0.20	14.61/0.11
WMF	36.79/0.98	33.59/0.97	27.52/0.83	22.59/0.55	18.93/0.31	15.85/0.16	13.74/0.09
SGM	47.29/0.99	44.91/0.99	42.44/0.97	37.66/0.95	36.33/0.92	30.06/0.85	24.40/0.68
TVD	30.67/0.84	27.47/0.82	22.60/0.76	19.40/0.70	17.11/0.64	15.14/0.60	13.60/0.56
NSDD	30.91/0.85	32.54/0.85	34.98/0.87	34.59/0.86	30.93/0.79	26.90/0.66	23.06/0.50
Ours	48.97/0.99	46.79/0.99	43.71/0.98	41.65/0.97	39.37/0.95	38.04/0.93	35.07/0.91