Absorption and phase retrieval with Tikhonov and joint sparsity regularizations
type: Item
instance of: scholarly article
title: Absorption and phase retrieval with Tikhonov and joint sparsity regularizations
zbMATH Open document ID: 1322.65067
author: Bruno Sixou
author: Valentina Davidoiu
author: Max Langer
author: Françoise Peyrin
published in: Inverse Problems and Imaging
publication date: 2013-06-05T00:00:00Z
review text: The paper studies the joint estimation of absorption and phase of a sample from Fresnel diffraction intensity patterns using coherent x-ray beams. The problem is formulated as a nonlinear ill-posed operator equation and is solved approximately by Tikhonov regularization with a joint sparsity penalization term for the wavelet coefficients of the unknown absorption and the phase images.
reviewed by: Thorsten Hohage
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65J22
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 92C55
zbMATH DE Number: 6170729
zbMATH Keywords: nonlinear inverse problems
zbMATH Keywords: phase retrieval
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: joint sparsity
zbMATH Keywords: biomedical imaging
zbMATH Keywords: Gauss-Newton method
zbMATH Keywords: Fresnel diffraction intensity patterns
zbMATH Keywords: coherent x-ray beams
zbMATH Keywords: nonlinear ill-posed operator equation
zbMATH Keywords: wavelet
MaRDI profile type: Publication
full work available at URL: ipi.2013.7.267
OpenAlex ID: W2322742375
DOI: 10.3934/IPI.2013.7.267
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description: scientific article; zbMATH DE number 6170729