Cross-Diffusion Systems for Image Processing: I. The Linear Case

Detalhes bibliográficos
Autor(a) principal: Araújo, Adérito
Data de Publicação: 2017
Outros Autores: Barbeiro, Sílvia, Cuesta, Eduardo, Durán, Angel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/44981
https://doi.org/10.1007/s10851-017-0720-x
Resumo: The use of cross-diffusion problems as mathematical models of different image processes is investigated. Here the image is represented by two real-valued functions which evolve in a coupled way, generalizing the approaches based on real and complex diffusion. The present paper is concerned with linear filtering. First, based on principles of scale invariance, a scale-space axiomatic is built. Then, some properties of linear complex diffusion are generalized, with particular emphasis on the use of one of the components of the cross-diffusion problem for edge detection. The performance of the cross-diffusion approach is analysed by numerical means in some one- and two-dimensional examples.
id RCAP_bc413dc9340d584b758d6725eff8d1a2
oai_identifier_str oai:estudogeral.uc.pt:10316/44981
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Cross-Diffusion Systems for Image Processing: I. The Linear CaseThe use of cross-diffusion problems as mathematical models of different image processes is investigated. Here the image is represented by two real-valued functions which evolve in a coupled way, generalizing the approaches based on real and complex diffusion. The present paper is concerned with linear filtering. First, based on principles of scale invariance, a scale-space axiomatic is built. Then, some properties of linear complex diffusion are generalized, with particular emphasis on the use of one of the components of the cross-diffusion problem for edge detection. The performance of the cross-diffusion approach is analysed by numerical means in some one- and two-dimensional examples.Springer2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44981http://hdl.handle.net/10316/44981https://doi.org/10.1007/s10851-017-0720-xhttps://doi.org/10.1007/s10851-017-0720-xenghttps://link.springer.com/content/pdf/10.1007/s10851-017-0720-x.pdfAraújo, AdéritoBarbeiro, SílviaCuesta, EduardoDurán, Angelinfo: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:10316/44981Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:28.411063Repositório 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 Cross-Diffusion Systems for Image Processing: I. The Linear Case
title Cross-Diffusion Systems for Image Processing: I. The Linear Case
spellingShingle Cross-Diffusion Systems for Image Processing: I. The Linear Case
Araújo, Adérito
title_short Cross-Diffusion Systems for Image Processing: I. The Linear Case
title_full Cross-Diffusion Systems for Image Processing: I. The Linear Case
title_fullStr Cross-Diffusion Systems for Image Processing: I. The Linear Case
title_full_unstemmed Cross-Diffusion Systems for Image Processing: I. The Linear Case
title_sort Cross-Diffusion Systems for Image Processing: I. The Linear Case
author Araújo, Adérito
author_facet Araújo, Adérito
Barbeiro, Sílvia
Cuesta, Eduardo
Durán, Angel
author_role author
author2 Barbeiro, Sílvia
Cuesta, Eduardo
Durán, Angel
author2_role author
author
author
dc.contributor.author.fl_str_mv Araújo, Adérito
Barbeiro, Sílvia
Cuesta, Eduardo
Durán, Angel
description The use of cross-diffusion problems as mathematical models of different image processes is investigated. Here the image is represented by two real-valued functions which evolve in a coupled way, generalizing the approaches based on real and complex diffusion. The present paper is concerned with linear filtering. First, based on principles of scale invariance, a scale-space axiomatic is built. Then, some properties of linear complex diffusion are generalized, with particular emphasis on the use of one of the components of the cross-diffusion problem for edge detection. The performance of the cross-diffusion approach is analysed by numerical means in some one- and two-dimensional examples.
publishDate 2017
dc.date.none.fl_str_mv 2017
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/10316/44981
http://hdl.handle.net/10316/44981
https://doi.org/10.1007/s10851-017-0720-x
https://doi.org/10.1007/s10851-017-0720-x
url http://hdl.handle.net/10316/44981
https://doi.org/10.1007/s10851-017-0720-x
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://link.springer.com/content/pdf/10.1007/s10851-017-0720-x.pdf
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
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection 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
repository.mail.fl_str_mv
_version_ 1799133821576151040

Registros relacionados