Quaternion Wavelet Analysis and Application in Image Denoising

Table 1

Performance comparison of different denoising methods (PSNR).

	𝜎	Donoho’s HT	LAWML	SURE-LET	P-Bivariate	Our method
	10	30.05	34.59	34.56	34.77	35.18
Lena	20	27.29	31.32	31.37	31.72	32.10
	30	25.85	29.28	29.56	29.89	30.18
	10	26.02	32.28	32.16	33.16	33.34
Barbara	20	23.38	28.81	27.96	29.75	29.36
	30	22.38	26.83	25.82	27.77	27.07
	10	27.42	32.11	32.91	32.72	33.15
Boat	20	25.08	29.04	29.47	29.66	29.88
	30	23.83	27.18	27.63	27.83	27.92
	10	24.57	30.54	31.17	30.51	31.45
Flinstones	20	21.72	27.17	27.40	27.28	28.12
	30	19.95	25.02	25.29	25.35	26.04
	10	30.07	33.18	34.27	34.28	34.75
House	20	27.09	29.98	30.90	30.89	31.76
	30	25.49	27.96	28.96	28.94	29.88
	10	26.09	30.92	32.07	31.63	32.87
Mit	20	22.78	27.08	27.88	27.77	28.62
	30	20.95	24.91	25.60	25.60	26.22
	10	26.87	31.47	32.35	31.81	33.08
Cameraman	20	24.05	27.94	28.51	28.27	29.13
	30	22.54	26.00	26.48	26.38	27.05