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Inversion of noisy Radon transform by SVD based needlets

dc.contributor.authorKerkyacharian, G.en
dc.contributor.authorKyriazis, George C.en
dc.contributor.authorLe Pennec, E.en
dc.contributor.authorPetrushev, P.en
dc.contributor.authorPicard, D.en
dc.creatorKerkyacharian, G.en
dc.creatorKyriazis, George C.en
dc.creatorLe Pennec, E.en
dc.creatorPetrushev, P.en
dc.creatorPicard, D.en
dc.date.accessioned2019-12-02T10:36:18Z
dc.date.available2019-12-02T10:36:18Z
dc.date.issued2010
dc.identifier.issn1063-5203
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57115
dc.description.abstractA linear method for inverting noisy observations of the Radon transform is developed based on decomposition systems (needlets) with rapidly decaying elements induced by the Radon transform SVD basis. Upper bounds of the risk of the estimator are established in Lp (1 ≤ p ≤ ∞) norms for functions with Besov space smoothness. A practical implementation of the method is given and several examples are discussed. © 2009 Elsevier Inc.en
dc.sourceApplied and Computational Harmonic Analysisen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-70350723470&doi=10.1016%2fj.acha.2009.06.001&partnerID=40&md5=10131d85c4f2690fc1688874108917ed
dc.subjectRadonen
dc.subjectUpper Bounden
dc.subjectBanach spacesen
dc.subjectSingular value decompositionen
dc.subjectBesov spacesen
dc.subjectDecomposition systemen
dc.subjectLinear methodsen
dc.subjectNoisy observationsen
dc.subjectPractical implementationen
dc.subjectRadon Transformen
dc.titleInversion of noisy Radon transform by SVD based needletsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1016/j.acha.2009.06.001
dc.description.volume28
dc.description.issue1
dc.description.startingpage24
dc.description.endingpage45
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.description.notes<p>Cited By :7</p>en
dc.source.abbreviationAppl Comput Harmonic Analen
dc.contributor.orcidKyriazis, George C. [0000-0001-9514-3482]
dc.gnosis.orcid0000-0001-9514-3482


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