Wavelet-based Image Deconvolution and Reconstruction

Abstract : Image deconvolution and reconstruction are inverse problems which are encountered in a wide array of applications. Due to the ill-posedness of such problems, their resolution generally relies on the incorporation of prior information through regularizations, which may be formulated in the original data space or through a suitable linear representation. In this article, we show the benefits which can be drawn from frame representations, such as wavelet transforms. We present an overview of recovery methods based on these representations: (i) variational formulations and non-smooth convex optimization strategies, (ii) Bayesian approaches, especially Monte Carlo Markov Chain methods and variational Bayesian approximation techniques, and (iii) Stein-based approaches. A brief introduction to blind deconvolution is also provided.
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https://hal.archives-ouvertes.fr/hal-01164833
Contributor : Nelly Pustelnik <>
Submitted on : Wednesday, June 17, 2015 - 10:01:29 PM
Last modification on : Tuesday, June 5, 2018 - 3:58:14 PM
Document(s) archivé(s) le : Tuesday, April 25, 2017 - 11:12:24 AM

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  • HAL Id : hal-01164833, version 1

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Nelly Pustelnik, Amel Benazza-Benhayia, Yuling Zheng, Jean-Christophe Pesquet. Wavelet-based Image Deconvolution and Reconstruction. 2015. ⟨hal-01164833v1⟩

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