A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images
type: Item
instance of: scholarly article
title: A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images
zbMATH Open document ID: 1216.47107
published in: Journal of Functional Analysis
publication date: 2010-10-18T00:00:00Z
review text: A refined functional analysis for the Radon operator, referring to axisymmetric functions which have strong regularity properties in fractional order Hilbert spaces, is presented. The authors provide a variational approach to solve the problem of tomographic reconstruction in fractional order Hilbert spaces. The existence of solutions and first order necessary conditions for optimality are given.
reviewed by: Chuanzhi Bai
Mathematics Subject Classification ID: 47J30
Mathematics Subject Classification ID: 47J10
Mathematics Subject Classification ID: 44A12
zbMATH DE Number: 5801192
zbMATH Keywords: Radon operator
zbMATH Keywords: fractional order Hilbert spaces
zbMATH Keywords: minimization
author: M. Bergounioux
author: Emmanuel Trélat
MaRDI profile type: Publication
full work available at URL: j.jfa.2010.05.016
OpenAlex ID: W2020086126
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DOI: 10.1016/J.JFA.2010.05.016
description: scientific article; zbMATH DE number 5801192