On a System of Adaptive Coupled PDEs for Image Restoration
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/43903 https://doi.org/10.1007/s10851-012-0386-3 |
Resumo: | In this paper, we consider a coupled system of partial differential equations (PDEs) based model for image restoration. Both the image and the edge variables are incorporated by coupling them into two different PDEs. It is shown that the initial-boundary value problem has global in time dissipative solutions (in a sense going back to P.-L. Lions), and several properties of these solutions are established. Some numerical examples are given to highlight the denoising nature of the proposed model along with some comparison results. |
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On a System of Adaptive Coupled PDEs for Image RestorationIn this paper, we consider a coupled system of partial differential equations (PDEs) based model for image restoration. Both the image and the edge variables are incorporated by coupling them into two different PDEs. It is shown that the initial-boundary value problem has global in time dissipative solutions (in a sense going back to P.-L. Lions), and several properties of these solutions are established. Some numerical examples are given to highlight the denoising nature of the proposed model along with some comparison results.Springer2012info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/43903http://hdl.handle.net/10316/43903https://doi.org/10.1007/s10851-012-0386-3https://doi.org/10.1007/s10851-012-0386-3enghttps://doi.org/10.1007/s10851-012-0386-3Prasath, V. B. SuryaVorotnikov, Dmitryinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2021-06-29T10:02:54Zoai:estudogeral.uc.pt:10316/43903Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:29.714484Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
On a System of Adaptive Coupled PDEs for Image Restoration |
title |
On a System of Adaptive Coupled PDEs for Image Restoration |
spellingShingle |
On a System of Adaptive Coupled PDEs for Image Restoration Prasath, V. B. Surya |
title_short |
On a System of Adaptive Coupled PDEs for Image Restoration |
title_full |
On a System of Adaptive Coupled PDEs for Image Restoration |
title_fullStr |
On a System of Adaptive Coupled PDEs for Image Restoration |
title_full_unstemmed |
On a System of Adaptive Coupled PDEs for Image Restoration |
title_sort |
On a System of Adaptive Coupled PDEs for Image Restoration |
author |
Prasath, V. B. Surya |
author_facet |
Prasath, V. B. Surya Vorotnikov, Dmitry |
author_role |
author |
author2 |
Vorotnikov, Dmitry |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Prasath, V. B. Surya Vorotnikov, Dmitry |
description |
In this paper, we consider a coupled system of partial differential equations (PDEs) based model for image restoration. Both the image and the edge variables are incorporated by coupling them into two different PDEs. It is shown that the initial-boundary value problem has global in time dissipative solutions (in a sense going back to P.-L. Lions), and several properties of these solutions are established. Some numerical examples are given to highlight the denoising nature of the proposed model along with some comparison results. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10316/43903 http://hdl.handle.net/10316/43903 https://doi.org/10.1007/s10851-012-0386-3 https://doi.org/10.1007/s10851-012-0386-3 |
url |
http://hdl.handle.net/10316/43903 https://doi.org/10.1007/s10851-012-0386-3 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://doi.org/10.1007/s10851-012-0386-3 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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