Well-Composed Cell Complexes

Well-composed 3D digital images, which are 3D binary digital images whose boundary surface is made up by 2D manifolds, enjoy important topological and geometric properties that turn out to be advantageous for some applications. In this paper, we present a method to transform the cubical complex asso...

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Detalles Bibliográficos
Autores: González Díaz, Rocío, Jiménez Rodríguez, María José, Medrano Garfia, Belén
Tipo de recurso: capítulo de libro
Fecha de publicación:2011
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/30764
Acceso en línea:http://hdl.handle.net/11441/30764
https://doi.org/10.1007/978-3-642-19867-0_13
Access Level:acceso abierto
Palabra clave:Well-composed digital images
cubical complex
cell complex
homotopy equivalence
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spelling Well-Composed Cell ComplexesGonzález Díaz, RocíoJiménez Rodríguez, María JoséMedrano Garfia, BelénWell-composed digital imagescubical complexcell complexhomotopy equivalenceWell-composed 3D digital images, which are 3D binary digital images whose boundary surface is made up by 2D manifolds, enjoy important topological and geometric properties that turn out to be advantageous for some applications. In this paper, we present a method to transform the cubical complex associated to a 3D binary digital image (which is not generally a well-composed image) into a cell complex that is homotopy equivalent to the first one and whose boundary surface is composed by 2D manifolds. This way, the new representation of the digital image can benefit from the application of algorithms that are developed over surfaces embedded in ℝ3.Matemática Aplicada I2011info:eu-repo/semantics/bookPartapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/30764https://doi.org/10.1007/978-3-642-19867-0_13reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésDiscrete Geometry for Computer Imagery, Lecture Notes in Computer Science, Vol. 6607, p. 153-162info:eu-repo/semantics/openAccessoai:idus.us.es:11441/307642026-06-17T12:51:07Z
dc.title.none.fl_str_mv Well-Composed Cell Complexes
title Well-Composed Cell Complexes
spellingShingle Well-Composed Cell Complexes
González Díaz, Rocío
Well-composed digital images
cubical complex
cell complex
homotopy equivalence
title_short Well-Composed Cell Complexes
title_full Well-Composed Cell Complexes
title_fullStr Well-Composed Cell Complexes
title_full_unstemmed Well-Composed Cell Complexes
title_sort Well-Composed Cell Complexes
dc.creator.none.fl_str_mv González Díaz, Rocío
Jiménez Rodríguez, María José
Medrano Garfia, Belén
author González Díaz, Rocío
author_facet González Díaz, Rocío
Jiménez Rodríguez, María José
Medrano Garfia, Belén
author_role author
author2 Jiménez Rodríguez, María José
Medrano Garfia, Belén
author2_role author
author
dc.contributor.none.fl_str_mv Matemática Aplicada I
dc.subject.none.fl_str_mv Well-composed digital images
cubical complex
cell complex
homotopy equivalence
topic Well-composed digital images
cubical complex
cell complex
homotopy equivalence
description Well-composed 3D digital images, which are 3D binary digital images whose boundary surface is made up by 2D manifolds, enjoy important topological and geometric properties that turn out to be advantageous for some applications. In this paper, we present a method to transform the cubical complex associated to a 3D binary digital image (which is not generally a well-composed image) into a cell complex that is homotopy equivalent to the first one and whose boundary surface is composed by 2D manifolds. This way, the new representation of the digital image can benefit from the application of algorithms that are developed over surfaces embedded in ℝ3.
publishDate 2011
dc.date.none.fl_str_mv 2011
dc.type.none.fl_str_mv info:eu-repo/semantics/bookPart
format bookPart
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/30764
https://doi.org/10.1007/978-3-642-19867-0_13
url http://hdl.handle.net/11441/30764
https://doi.org/10.1007/978-3-642-19867-0_13
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Discrete Geometry for Computer Imagery, Lecture Notes in Computer Science, Vol. 6607, p. 153-162
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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