dc.contributor.author | Kerkyacharian, G. | en |
dc.contributor.author | Kyriazis, George C. | en |
dc.contributor.author | Le Pennec, E. | en |
dc.contributor.author | Petrushev, P. | en |
dc.contributor.author | Picard, D. | en |
dc.creator | Kerkyacharian, G. | en |
dc.creator | Kyriazis, George C. | en |
dc.creator | Le Pennec, E. | en |
dc.creator | Petrushev, P. | en |
dc.creator | Picard, D. | en |
dc.date.accessioned | 2019-12-02T10:36:18Z | |
dc.date.available | 2019-12-02T10:36:18Z | |
dc.date.issued | 2010 | |
dc.identifier.issn | 1063-5203 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57115 | |
dc.description.abstract | A 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.source | Applied and Computational Harmonic Analysis | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-70350723470&doi=10.1016%2fj.acha.2009.06.001&partnerID=40&md5=10131d85c4f2690fc1688874108917ed | |
dc.subject | Radon | en |
dc.subject | Upper Bound | en |
dc.subject | Banach spaces | en |
dc.subject | Singular value decomposition | en |
dc.subject | Besov spaces | en |
dc.subject | Decomposition system | en |
dc.subject | Linear methods | en |
dc.subject | Noisy observations | en |
dc.subject | Practical implementation | en |
dc.subject | Radon Transform | en |
dc.title | Inversion of noisy Radon transform by SVD based needlets | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.acha.2009.06.001 | |
dc.description.volume | 28 | |
dc.description.issue | 1 | |
dc.description.startingpage | 24 | |
dc.description.endingpage | 45 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :7</p> | en |
dc.source.abbreviation | Appl Comput Harmonic Anal | en |
dc.contributor.orcid | Kyriazis, George C. [0000-0001-9514-3482] | |
dc.gnosis.orcid | 0000-0001-9514-3482 | |