Wavelet-based multicomponent image restoration

Arno Duijster; Steve De Backer; Paul Scheunders

doi:10.1117/12.733826

2 October 2007 Wavelet-based multicomponent image restoration

Arno Duijster, Steve De Backer, Paul Scheunders

Proceedings Volume 6763, Wavelet Applications in Industrial Processing V; 67630J (2007) https://doi.org/10.1117/12.733826
Event: Optics East, 2007, Boston, MA, United States

Abstract

In this paper we study the restoration of multicomponent images, and more particularly, the effects of taking into account the dependencies between the image components. The used method is an expectation-maximization algorithm, which applies iteratively a deconvolution and a denoising step. It exploits the Fourier transform's economical noise representation for deconvolution, and the wavelet transform's economical representation of piecewise smooth images for denoising. The proposed restoration procedure performs wavelet shrinkage in a Bayesian denoising framework by applying multicomponent probability density models for the wavelet coefficients that fully account for the intercomponent correlations. In the experimental section, we compare our multicomponent procedures to its single-component counterpart. The results show that the methods using a multicomponent model and especially the one using the Gaussian scale mixture model, perform better than the single-component procedure.

Citation Download Citation

Arno Duijster, Steve De Backer, and Paul Scheunders "Wavelet-based multicomponent image restoration", Proc. SPIE 6763, Wavelet Applications in Industrial Processing V, 67630J (2 October 2007); https://doi.org/10.1117/12.733826

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