Poissonian Image Deconvolution via Sparse and Redundant Representations and Framelet Regularization

Table 1

PSNR (dB) values of three methods.

Image	𝐼max	Type	Degraded image	PIDSB-FA [13]	LD-TV [21]	Proposed method
Brain	600	Gaussian	27.06	32.19	32.73	32.80
		Uniform	23.20	28.82	28.98	29.51
	1000	Gaussian	27.48	33.33	33.67	33.94
		Uniform	23.38	29.27	29.54	29.87
	2000	Gaussian	27.84	34.33	34.35	35.07
		Uniform	23.52	29.67	29.83	31.36
Neck	600	Gaussian	26.94	30.19	30.34	30.37
		Uniform	23.62	27.21	27.35	27.50
	1000	Gaussian	27.43	33.33	33.67	33.94
		Uniform	23.82	27.43	27.48	28.12
	2000	Gaussian	27.81	31.26	31.26	32.19
		Uniform	24.00	27.57	27.66	29.19
Lena	600	Gaussian	28.84	32.89	32.81	33.45
		Uniform	27.05	31.30	31.07	32.04
	1000	Gaussian	30.02	33.76	33.63	34.08
		Uniform	27.80	31.64	31.47	31.77
	2000	Gaussian	31.18	34.34	34.30	34.88
		Uniform	28.46	31.85	31.77	32.55
Bara	600	Gaussian	24.46	25.26	25.30	25.55
		Uniform	22.65	24.50	24.41	24.54
	1000	Gaussian	24.84	25.37	25.30	25.66
		Uniform	22.89	24.56	24.49	24.57
	2000	Gaussian	25.15	25.68	25.55	26.29
		Uniform	23.09	24.59	24.57	25.04
House	600	Gaussian	27.98	32.10	32.19	32.92
		Uniform	25.88	31.08	31.13	32.04
	1000	Gaussian	29.02	32.73	33.00	33.66
		Uniform	26.49	31.35	31.63	32.35
	2000	Gaussian	30.02	33.34	33.68	34.53
		Uniform	27.03	31.53	31.99	33.09