A homological–based description of subdivided nD objects

We present here a topo–geometrical description of a subdivided nD object called homological spanning forest representation. This representation is a convenient tool in order to completely control not only geometrical, but also advanced topological information of a given object. By codifying the unde...

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Detalles Bibliográficos
Autores: Molina Abril, Helena, Real Jurado, Pedro
Tipo de recurso: capítulo de libro
Estado:Versión enviada para evaluación y publicación
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:11441/32163
Acceso en línea:http://hdl.handle.net/11441/32163
https://doi.org/10.1007/978-3-642-23672-3_6
Access Level:acceso abierto
Palabra clave:Pattern Recognition
Biometrics
Data Mining and Knowledge Discovery
Computer Imaging
Vision
Pattern Recognition and Graphics
Document Preparation and Text Processing
Artificial Intelligence (incl. Robotics)
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spelling A homological–based description of subdivided nD objectsMolina Abril, HelenaReal Jurado, PedroPattern RecognitionBiometricsData Mining and Knowledge DiscoveryComputer ImagingVisionPattern Recognition and GraphicsDocument Preparation and Text ProcessingArtificial Intelligence (incl. Robotics)We present here a topo–geometrical description of a subdivided nD object called homological spanning forest representation. This representation is a convenient tool in order to completely control not only geometrical, but also advanced topological information of a given object. By codifying the underlying algebraic topological machinery in terms of coordinate–based graphs, we progress in the task to “combinatorialize” homological information at two levels: local and global. Therefore, our method presents several advantages with respect to the existing Algebraic topological models, and techniques based in Discrete Morse Theory. A construction algorithm has been implemented, and some examples are shown.Matemática Aplicada I2011info:eu-repo/semantics/bookPartinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/32163https://doi.org/10.1007/978-3-642-23672-3_6reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésComputer Analysis of Images and Patterns, Lecture Notes in Computer Science, Vol. 6854 p. 42-50info:eu-repo/semantics/openAccessoai:idus.us.es:11441/321632026-06-17T12:51:07Z
dc.title.none.fl_str_mv A homological–based description of subdivided nD objects
title A homological–based description of subdivided nD objects
spellingShingle A homological–based description of subdivided nD objects
Molina Abril, Helena
Pattern Recognition
Biometrics
Data Mining and Knowledge Discovery
Computer Imaging
Vision
Pattern Recognition and Graphics
Document Preparation and Text Processing
Artificial Intelligence (incl. Robotics)
title_short A homological–based description of subdivided nD objects
title_full A homological–based description of subdivided nD objects
title_fullStr A homological–based description of subdivided nD objects
title_full_unstemmed A homological–based description of subdivided nD objects
title_sort A homological–based description of subdivided nD objects
dc.creator.none.fl_str_mv Molina Abril, Helena
Real Jurado, Pedro
author Molina Abril, Helena
author_facet Molina Abril, Helena
Real Jurado, Pedro
author_role author
author2 Real Jurado, Pedro
author2_role author
dc.contributor.none.fl_str_mv Matemática Aplicada I
dc.subject.none.fl_str_mv Pattern Recognition
Biometrics
Data Mining and Knowledge Discovery
Computer Imaging
Vision
Pattern Recognition and Graphics
Document Preparation and Text Processing
Artificial Intelligence (incl. Robotics)
topic Pattern Recognition
Biometrics
Data Mining and Knowledge Discovery
Computer Imaging
Vision
Pattern Recognition and Graphics
Document Preparation and Text Processing
Artificial Intelligence (incl. Robotics)
description We present here a topo–geometrical description of a subdivided nD object called homological spanning forest representation. This representation is a convenient tool in order to completely control not only geometrical, but also advanced topological information of a given object. By codifying the underlying algebraic topological machinery in terms of coordinate–based graphs, we progress in the task to “combinatorialize” homological information at two levels: local and global. Therefore, our method presents several advantages with respect to the existing Algebraic topological models, and techniques based in Discrete Morse Theory. A construction algorithm has been implemented, and some examples are shown.
publishDate 2011
dc.date.none.fl_str_mv 2011
dc.type.none.fl_str_mv info:eu-repo/semantics/bookPart
info:eu-repo/semantics/submittedVersion
format bookPart
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/32163
https://doi.org/10.1007/978-3-642-23672-3_6
url http://hdl.handle.net/11441/32163
https://doi.org/10.1007/978-3-642-23672-3_6
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Computer Analysis of Images and Patterns, Lecture Notes in Computer Science, Vol. 6854 p. 42-50
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 15.301603

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