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DC Field | Value | Language |
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dc.citation.endPage | 885 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 857 | - |
dc.citation.title | SIAM JOURNAL ON IMAGING SCIENCES | - |
dc.citation.volume | 5 | - |
dc.contributor.author | Fornasier, M. | - |
dc.contributor.author | Kim, Yunho | - |
dc.contributor.author | Langer, A. | - |
dc.contributor.author | Schoenlieb, C. -B. | - |
dc.date.accessioned | 2023-12-22T05:38:11Z | - |
dc.date.available | 2023-12-22T05:38:11Z | - |
dc.date.created | 2014-11-14 | - |
dc.date.issued | 2012 | - |
dc.description.abstract | In this paper, we show additional properties of the limit of a sequence produced by the subspace correction algorithm proposed by Fornasier and Schonlieb [SIAM J. Numer. Anal., 47 (2009), pp. 3397-3428 for L 2/TV-minimization problems. An important but missing property of such a limiting sequence in that paper is the convergence to a minimizer of the original minimization problem, which was obtained in [M. Fornasier, A. Langer, and C.-B. Schonlieb, Numer. Math., 116 (2010), pp. 645-685 with an additional condition of overlapping subdomains. We can now determine when the limit is indeed a minimizer of the original problem. Inspired by the work of Vonesch and Unser [IEEE Trans. Image Process., 18 (2009), pp. 509-523], we adapt and specify this algorithm to the case of an orthogonal wavelet space decomposition for deblurring problems and provide an equivalence condition to the convergence of such a limiting sequence to a minimizer. We also provide a counterexample of a limiting sequence by the algorithm that does not converge to a minimizer, which shows the necessity of our analysis of the minimizing algorithm. | - |
dc.identifier.bibliographicCitation | SIAM JOURNAL ON IMAGING SCIENCES, v.5, no.3, pp.857 - 885 | - |
dc.identifier.doi | 10.1137/100819801 | - |
dc.identifier.issn | 1936-4954 | - |
dc.identifier.scopusid | 2-s2.0-84867163734 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/8825 | - |
dc.identifier.url | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84867163734 | - |
dc.identifier.wosid | 000310057900004 | - |
dc.language | 영어 | - |
dc.publisher | SIAM PUBLICATIONS | - |
dc.title | Wavelet Decomposition Method for L-2/TV-Image Deblurring | - |
dc.type | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | image deblurring | - |
dc.subject.keywordAuthor | wavelet decomposition method | - |
dc.subject.keywordAuthor | convex optimization | - |
dc.subject.keywordAuthor | oblique thresholding | - |
dc.subject.keywordAuthor | total variation minimization | - |
dc.subject.keywordAuthor | alternating minimization |
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dc.subject.keywordPlus | LINEAR INVERSE PROBLEMS | - |
dc.subject.keywordPlus | TOTAL VARIATION MINIMIZATION | - |
dc.subject.keywordPlus | THRESHOLDING ALGORITHM |
- |
dc.subject.keywordPlus | SPARSE RECONSTRUCTION | - |
dc.subject.keywordPlus | BREGMAN ITERATION | - |
dc.subject.keywordPlus | IMAGE-RESTORATION | - |
dc.subject.keywordPlus | CONVERGENCE | - |
dc.subject.keywordPlus | SPACE | - |
dc.subject.keywordPlus | L(1)-MINIMIZATION | - |
dc.subject.keywordPlus | REGULARIZATION | - |
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