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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 68 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 43 | - |
dc.citation.title | INVERSE PROBLEMS AND IMAGING | - |
dc.citation.volume | 3 | - |
dc.contributor.author | Kim, Yunho | - |
dc.contributor.author | Vese, Luminita A. | - |
dc.date.accessioned | 2023-12-22T08:09:40Z | - |
dc.date.available | 2023-12-22T08:09:40Z | - |
dc.date.created | 2014-11-14 | - |
dc.date.issued | 2009-02 | - |
dc.description.abstract | In this work we wish to recover an unknown image from a blurry, or noisy-blurry version. We solve this inverse problem by energy minimization and regularization. We seek a solution of the form u + v, where u is a function of bounded variation (cartoon component), while v is an oscillatory component (texture), modeled by a Sobolev function with negative degree of differentiability. We give several results of existence and characterization of minimizers of the proposed optimization problem. Experimental results show that this cartoon + texture model better recovers textured details in natural images, by comparison with the more standard models where the unknown is restricted only to the space of functions of bounded variation. | - |
dc.identifier.bibliographicCitation | INVERSE PROBLEMS AND IMAGING, v.3, no.1, pp.43 - 68 | - |
dc.identifier.doi | 10.3934/ipi.2009.3.43 | - |
dc.identifier.issn | 1930-8337 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/8932 | - |
dc.identifier.wosid | 000263354400003 | - |
dc.language | 영어 | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
dc.title | IMAGE RECOVERY USING FUNCTIONS OF BOUNDED VARIATION AND SOBOLEV SPACES OF NEGATIVE DIFFERENTIABILITY | - |
dc.type | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Image restoration | - |
dc.subject.keywordAuthor | variational models | - |
dc.subject.keywordAuthor | bounded variation | - |
dc.subject.keywordAuthor | Sobolev spaces |
- |
dc.subject.keywordAuthor | oscillatory functions | - |
dc.subject.keywordPlus | TOTAL VARIATION MINIMIZATION | - |
dc.subject.keywordPlus | NATURAL IMAGES | - |
dc.subject.keywordPlus | RESTORATION | - |
dc.subject.keywordPlus | DECOMPOSITION | - |
dc.subject.keywordPlus | REGULARIZATION | - |
dc.subject.keywordPlus | CONSTRAINTS | - |
dc.subject.keywordPlus | MODELS | - |
dc.subject.keywordPlus | NOISE | - |
dc.subject.keywordPlus | NORMS | - |
dc.subject.keywordPlus | BV | - |
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