Optimizing Shrinkage Curves and Application in Image Denoising

Table 2

PSNR/SSIM comparisons with bilateral filter and BM3D.

Methods	Noise levels
	5	10	15	20	25	30	35	40
	() Baboon
B. Filter	28.39/0.845	27.71/0.842	26.43/0.811	24.67/0.746	22.77/0.665	20.96/0.585	19.32/0.512	17.87/0.449
BM3D	34.74/0.964	29.62/0.899	26.91/0.830	25.13/0.761	23.84/0.693	22.89/0.633	22.16/0.580	21.56/0.530
OSC	37.84/0.942	33.95/0.846	32.49/0.762	31.26/0.695	30.41/0.650	29.72/0.627	29.09/0.621	28.59/0.639
	() Cameraman
B. Filter	32.16/0.895	31.63/0.887	29.87/0.800	27.15/0.636	24.37/0.488	21.96/0.385	19.95/0.315	18.27/0.266
BM3D	38.29/0.962	34.18/0.932	31.91/0.901	30.48/0.875	29.45/0.854	28.64/0.837	27.93/0.822	27.18/0.806
OSC	37.02/0.963	31.94/0.892	29.72/0.831	27.88/0.785	26.62/0.748	25.59/0.720	24.81/0.690	24.16/0.654
	() Einstein
B. Filter	31.48/0.802	31.19/0.804	29.73/0.739	27.17/0.598	24.45/0.452	22.05/0.340	20.04/0.261	18.36/0.206
BM3D	37.49/0.934	34.19/0.871	32.55/0.832	31.43/0.803	30.56/0.778	29.84/0.757	29.10/0.736	28.43/0.717
OSC	37.71/0.981	33.51/0.935	31.78/0.890	30.35/0.846	29.39/0.814	28.62/0.776	28.02/0.747	27.57/0.710
	() Elaine
B. Filter	31.16/0.825	30.63/0.822	29.05/0.767	26.63/0.651	24.10/0.522	21.83/0.412	19.90/0.330	18.26/0.268
BM3D	36.32/0.940	32.60/0.858	31.03/0.810	30.05/0.782	29.30/0.761	28.69/0.743	28.10/0.726	27.51/0.710
OSC	37.32/0.991	32.77/0.952	30.70/0.910	29.05/0.867	27.83/0.820	26.96/0.781	26.32/0.750	25.71/0.715
	() F16
B. Filter	32.23/0.906	31.39/0.894	29.42/0.810	26.71/0.656	24.05/0.513	21.74/0.411	19.81/0.339	18.18/0.287
BM3D	37.53/0.957	33.43/0.926	31.19/0.899	29.70/0.876	28.57/0.855	27.70/0.836	26.96/0.818	26.22/0.799
OSC	37.47/0.994	32.90/0.962	30.79/0.924	29.20/0.892	27.98/0.858	27.07/0.823	26.37/0.793	25.72/0.754
	() Lena
B. Filter	31.98/0.893	31.03/0.878	29.06/0.800	26.48/0.661	23.93/0.526	21.68/0.421	19.78/0.345	18.17/0.288
BM3D	38.16/0.961	34.49/0.932	32.40/0.906	30.95/0.883	29.86/0.863	28.99/0.844	28.23/0.825	27.43/0.805
OSC	37.06/1.000	32.14/0.973	29.83/0.939	28.05/0.906	26.84/0.878	25.89/0.861	25.13/0.840	24.49/0.798
	() Monarch
B. Filter	31.53/0.929	30.69/0.911	28.85/0.837	26.33/0.710	23.79/0.584	21.55/0.486	19.66/0.412	18.06/0.355
BM3D	38.21/0.975	34.12/0.956	31.86/0.936	30.35/0.918	29.25/0.900	28.36/0.882	27.58/0.865	26.72/0.845
OSC	37.06/0.998	31.97/0.997	29.60/0.980	27.69/0.961	26.29/0.939	25.21/0.916	24.33/0.890	23.65/0.859
	() House
B. Filter	33.76/0.878	32.88/0.870	30.59/0.777	27.51/0.602	24.58/0.442	22.10/0.331	20.06/0.259	18.37/0.210
BM3D	39.83/0.957	36.71/0.922	34.94/0.891	33.77/0.873	32.86/0.859	32.09/0.848	31.38/0.837	30.65/0.826
OSC	39.04/0.950	35.25/0.868	33.44/0.790	31.87/0.713	30.78/0.660	29.95/0.619	29.27/0.585	28.67/0.555
	() Balloon
B. Filter	35.11/0.918	34.12/0.897	31.46/0.780	28.02/0.579	24.90/0.402	22.32/0.283	20.21/0.209	18.48/0.160
BM3D	40.82/0.960	37.84/0.937	36.03/0.922	34.60/0.906	33.48/0.892	32.57/0.877	31.77/0.862	31.07/0.849
OSC	40.17/0.993	36.31/0.975	34.28/0.953	32.47/0.930	31.04/0.911	29.91/0.885	29.04/0.870	28.35/0.874
	() Peppers
B. Filter	32.68/0.907	31.67/0.889	29.51/0.803	26.72/0.654	24.04/0.510	21.74/0.402	19.80/0.325	18.18/0.269
BM3D	38.12/0.956	34.68/0.928	32.70/0.907	31.29/0.887	30.16/0.868	29.28/0.850	28.52/0.834	27.70/0.816
OSC	37.43/0.970	32.81/0.904	30.74/0.838	29.05/0.786	27.84/0.734	26.91/0.700	26.19/0.664	25.57/0.625
	() Barbara
B. Filter	31.28/0.886	30.29/0.872	28.47/0.799	26.12/0.667	23.75/0.537	21.62/0.436	19.78/0.361	18.20/0.304
BM3D	38.31/0.965	34.98/0.942	33.11/0.923	31.78/0.905	30.72/0.887	29.81/0.869	28.98/0.848	27.99/0.823
OSC	39.82/0.954	35.87/0.893	34.00/0.847	32.43/0.814	31.34/0.792	30.53/0.772	29.90/0.743	29.42/0.727
	() Boat
B. Filter	31.06/0.819	30.61/0.820	29.11/0.759	26.72/0.629	24.18/0.494	21.90/0.388	19.97/0.311	18.32/0.255
BM3D	37.28/0.939	33.92/0.888	32.14/0.854	30.88/0.826	29.91/0.801	29.12/0.780	28.43/0.759	27.74/0.739
OSC	37.74/0.996	33.19/0.967	31.08/0.939	29.36/0.904	28.11/0.876	27.17/0.857	26.40/0.840	25.79/0.826
	() Couple
B. Filter	30.67/0.825	30.16/0.823	28.70/0.763	26.44/0.641	24.02/0.512	21.81/0.408	19.91/0.330	18.29/0.272
BM3D	37.52/0.951	34.04/0.909	32.11/0.877	30.76/0.848	29.72/0.820	28.87/0.795	28.15/0.771	27.48/0.747
OSC	38.07/0.991	33.71/0.952	31.81/0.912	30.23/0.877	29.10/0.848	28.28/0.813	27.62/0.770	27.12/0.739
	() Fingerprint
B. Filter	29.07/0.926	27.75/0.908	25.95/0.872	24.01/0.816	22.13/0.748	20.43/0.675	18.91/0.604	17.56/0.539
BM3D	36.51/0.988	32.46/0.969	30.28/0.949	28.81/0.930	27.70/0.911	26.83/0.894	26.09/0.877	25.30/0.858
OSC	38.05/0.998	33.27/0.998	31.00/0.989	29.16/0.974	27.83/0.961	26.79/0.943	25.95/0.928	25.26/0.912
	() Hill
B. Filter	31.03/0.804	30.66/0.804	29.27/0.745	26.91/0.618	24.35/0.481	22.05/0.371	20.08/0.290	18.41/0.231
BM3D	37.13/0.943	33.62/0.883	31.86/0.839	30.72/0.804	29.85/0.775	29.16/0.750	28.56/0.728	27.99/0.707
OSC	37.79/0.964	33.66/0.888	31.97/0.817	30.60/0.758	29.68/0.712	29.00/0.689	28.46/0.661	27.98/0.653
	() Man
B. Filter	31.40/0.843	30.93/0.836	29.38/0.765	26.91/0.626	24.31/0.485	21.99/0.376	20.02/0.298	18.37/0.241
BM3D	37.82/0.954	33.98/0.908	31.93/0.867	30.59/0.833	29.62/0.805	28.86/0.780	28.22/0.758	27.65/0.737
OSC	37.69/0.990	33.24/0.957	31.35/0.907	29.80/0.897	28.70/0.896	27.88/0.868	27.21/0.870	26.66/0.834