On a System of Adaptive Coupled PDEs for Image Restoration

Detalhes bibliográficos
Autor(a) principal: Prasath, V. B. Surya
Data de Publicação: 2012
Outros Autores: Vorotnikov, Dmitry
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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spelling 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
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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
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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)
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