Signal Reconstruction Based on Probabilistic Dictionary Learning Combined with Group Sparse Representation Clustering

Table 1

The SSIM and PSNR results for different standard algorithms.

Image	σ	BPFA		K-SVD		SSIM-BPFA		PSBP-BPFA		DP-BPFA		Proposed algorithm
		SSIM	PSNR	SSIM	PSNR	SSIM	PSNR	SSIM	PSNR	SSIM	PSNR	SSIM	PSNR
Barbara	5	0.94	37.06	0.96	38.11	0.96	38.33	0.95	38.48	0.95	36.61	0.96	38.51
	10	0.92	33.16	0.93	34.42	0.94	34.97	0.90	34.97	0.92	33.03	0.94	34.93
	20	0.86	30.26	0.88	30.81	0.92	31.74	0.84	31.57	0.85	29.05	0.91	31.59
	25	0.82	29.08	0.85	29.58	0.88	30.72	0.81	30.47	0.80	27.27	0.89	30.51
	50	0.67	25.66	0.71	25.58	0.79	27.23	0.69	27.06	0.57	23.20	0.80	27.18
Pepper	5	0.96	35.15	0.98	36.66	0.98	36.59	0.89	36.70	0.98	35.85	0.98	36.71
	10	0.94	30.99	0.96	32.42	0.96	32.43	0.87	32.57	0.96	31.55	0.96	32.62
	20	0.88	27.25	0.92	28.45	0.92	28.87	0.78	28.78	0.92	28.14	0.93	28.87
	25	0.85	26.14	0.89	27.25	0.91	27.70	0.74	27.62	0.90	26.99	0.91	27.78
	50	0.71	22.96	0.77	23.25	0.83	24.53	0.56	24.25	0.77	22.34	0.83	24.55
Lena	5	0.91	37.94	0.94	38.62	0.94	38.71	0.95	38.69	0.92	37.61	0.95	38.61
	10	0.90	34.36	0.91	35.51	0.91	35.94	0.89	35.83	0.90	35.12	0.91	35.58
	20	0.83	31.61	0.86	32.38	0.87	33.07	0.81	32.90	0.86	32.37	0.87	32.77
	25	0.79	30.36	0.84	31.36	0.86	32.08	0.77	31.87	0.84	31.34	0.86	31.63
	50	0.67	27.32	0.76	27.75	0.79	29.05	0.63	28.87	0.55	25.15	0.80	28.81
House	5	0.89	37.01	0.95	37.50	0.95	37.80	0.95	37.89	0.93	36.24	0.95	37.86
	10	0.87	33.11	0.90	33.55	0.90	33.94	0.90	34.06	0.88	33.09	0.90	33.97
	20	0.78	29.72	0.81	30.05	0.83	30.54	0.81	30.64	0.81	30.12	0.83	30.60
	25	0.72	28.38	0.77	29.08	0.80	29.62	0.82	29.63	0.78	29.22	0.80	29.59
	50	0.59	25.33	0.66	26.08	0.70	26.81	0.70	26.69	0.56	24.38	0.70	26.71