Image denoising using bivariate α-stable distributions in the complex wavelet domain

Recently, the dual-tree complex wavelet transform has been proposed as an analysis tool featuring near shift-invariance and improved directional selectivity compared to the standard wavelet transform. Within this framework, we describe a novel technique for removing noise from digital images. We des...

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Veröffentlicht in:	IEEE signal processing letters 2005-01, Vol.12 (1), p.17-20
Hauptverfasser:	Achim, A., Kuruoglu, E.E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Alpha-stable distributions Bayesian methods bivariate models Image denoising MAP estimation Monte-Carlo methods Noise reduction Signal processing Signal processing algorithms Testing Wavelet analysis Wavelet coefficients Wavelet domain wavelet transform Wavelet transforms
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creator	Achim, A. Kuruoglu, E.E.
description	Recently, the dual-tree complex wavelet transform has been proposed as an analysis tool featuring near shift-invariance and improved directional selectivity compared to the standard wavelet transform. Within this framework, we describe a novel technique for removing noise from digital images. We design a bivariate maximum a posteriori estimator, which relies on the family of isotropic α-stable distributions. Using this relatively new statistical model we are able to better capture the heavy-tailed nature of the data as well as the interscale dependencies of wavelet coefficients. We test our algorithm for the Cauchy case, in comparison with several recently published methods. The simulation results show that our proposed technique achieves state-of-the-art performance in terms of root mean squared (RMS) error.
doi_str_mv	10.1109/LSP.2004.839692
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subjects	Alpha-stable distributions Bayesian methods bivariate models Image denoising MAP estimation Monte-Carlo methods Noise reduction Signal processing Signal processing algorithms Testing Wavelet analysis Wavelet coefficients Wavelet domain wavelet transform Wavelet transforms
title	Image denoising using bivariate α-stable distributions in the complex wavelet domain
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