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- Publisher Website: 10.4208/cicp.210709.180310a
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Article: Alternating minimization method for total variation based wavelet shrinkage model
Title | Alternating minimization method for total variation based wavelet shrinkage model |
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Authors | |
Keywords | Convergence Gibbs oscillation Total variation Alternating minimization Wavelet shrinkage |
Issue Date | 2010 |
Citation | Communications in Computational Physics, 2010, v. 8, n. 5, p. 976-994 How to Cite? |
Abstract | In this paper, we introduce a novel hybrid variational model which generalizes the classical total variation method and the wavelet shrinkage method. An alternating minimization direction algorithm is then employed. We also prove that it converges strongly to the minimizer of the proposed hybrid model. Finally, some numerical examples illustrate clearly that the new model outperforms the standard total variation method and wavelet shrinkage method as it recovers better image details and avoids the Gibbs oscillations. © 2010 Global-Science Press. |
Persistent Identifier | http://hdl.handle.net/10722/276875 |
ISSN | 2021 Impact Factor: 3.791 2020 SCImago Journal Rankings: 1.217 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Zeng, Tieyong | - |
dc.contributor.author | Li, Xiaolong | - |
dc.contributor.author | Ng, Michael | - |
dc.date.accessioned | 2019-09-18T08:34:55Z | - |
dc.date.available | 2019-09-18T08:34:55Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Communications in Computational Physics, 2010, v. 8, n. 5, p. 976-994 | - |
dc.identifier.issn | 1815-2406 | - |
dc.identifier.uri | http://hdl.handle.net/10722/276875 | - |
dc.description.abstract | In this paper, we introduce a novel hybrid variational model which generalizes the classical total variation method and the wavelet shrinkage method. An alternating minimization direction algorithm is then employed. We also prove that it converges strongly to the minimizer of the proposed hybrid model. Finally, some numerical examples illustrate clearly that the new model outperforms the standard total variation method and wavelet shrinkage method as it recovers better image details and avoids the Gibbs oscillations. © 2010 Global-Science Press. | - |
dc.language | eng | - |
dc.relation.ispartof | Communications in Computational Physics | - |
dc.subject | Convergence | - |
dc.subject | Gibbs oscillation | - |
dc.subject | Total variation | - |
dc.subject | Alternating minimization | - |
dc.subject | Wavelet shrinkage | - |
dc.title | Alternating minimization method for total variation based wavelet shrinkage model | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.4208/cicp.210709.180310a | - |
dc.identifier.scopus | eid_2-s2.0-77958555462 | - |
dc.identifier.volume | 8 | - |
dc.identifier.issue | 5 | - |
dc.identifier.spage | 976 | - |
dc.identifier.epage | 994 | - |
dc.identifier.eissn | 1991-7120 | - |
dc.identifier.isi | WOS:000284672100002 | - |
dc.identifier.issnl | 1815-2406 | - |