Alternative Way to Compute the Euler Number of a Binary Image

In this paper an alternative way to compute the (E) Euler number of a binary image via information about its pixels is presented. The P perimeter of the objects in the image, their Pc contact perimeter and the T-type pixel are used to obtain this important invariant. This is the second time the Eule...

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Autores: J. H. Sossa-Azuela, E. B. Cuevas-Jiménez, D. Zaldivar-Navarro
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:México
Institución:Universidad de Guadalajara
Repositorio:Redalyc-UDG
OAI Identifier:oai:redalyc.org:47421207006
Acceso en línea:https://www.redalyc.org/articulo.oa?id=47421207006
Access Level:acceso abierto
Palabra clave:Ingeniería
perimeter
Euler number
contact perimeter
topological invariant
topological descriptor
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spelling Alternative Way to Compute the Euler Number of a Binary ImageJ. H. Sossa-AzuelaE. B. Cuevas-JiménezD. Zaldivar-NavarroIngenieríaperimeterEuler numbercontact perimetertopological invarianttopological descriptorIn this paper an alternative way to compute the (E) Euler number of a binary image via information about its pixels is presented. The P perimeter of the objects in the image, their Pc contact perimeter and the T-type pixel are used to obtain this important invariant. This is the second time the Euler number is described in terms of the contact perimeter of the objects in an image but with new results. The first paper that reports computing the Euler number of a binary shape in terms of the and Pc is in [E. Bribiesca, Computation of the Euler number using the contact perimeter, Computers and Mathematics with Applications 60,1364-137 (2010)]. Bribiesca's proposal is useful only for unit-width shapes. In this paper, we extend Bribiesca's method for non-unit-width shapes.Universidad Nacional Autónoma de México2011info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdf1665-6423https://www.redalyc.org/articulo.oa?id=47421207006Journal of Applied Research and Technology (México) Num.3 Vol.9reponame:Redalyc-UDGinstname:Universidad de Guadalajarainstacron:UDGenhttp://www.redalyc.org/revista.oa?id=474Journal of Applied Research and Technologyinfo:eu-repo/semantics/openAccessoai:redalyc.org:474212070062026-01-29T04:44:32Z
dc.title.none.fl_str_mv Alternative Way to Compute the Euler Number of a Binary Image
title Alternative Way to Compute the Euler Number of a Binary Image
spellingShingle Alternative Way to Compute the Euler Number of a Binary Image
J. H. Sossa-Azuela
Ingeniería
perimeter
Euler number
contact perimeter
topological invariant
topological descriptor
title_short Alternative Way to Compute the Euler Number of a Binary Image
title_full Alternative Way to Compute the Euler Number of a Binary Image
title_fullStr Alternative Way to Compute the Euler Number of a Binary Image
title_full_unstemmed Alternative Way to Compute the Euler Number of a Binary Image
title_sort Alternative Way to Compute the Euler Number of a Binary Image
dc.creator.none.fl_str_mv J. H. Sossa-Azuela
E. B. Cuevas-Jiménez
D. Zaldivar-Navarro
author J. H. Sossa-Azuela
author_facet J. H. Sossa-Azuela
E. B. Cuevas-Jiménez
D. Zaldivar-Navarro
author_role author
author2 E. B. Cuevas-Jiménez
D. Zaldivar-Navarro
author2_role author
author
dc.subject.none.fl_str_mv Ingeniería
perimeter
Euler number
contact perimeter
topological invariant
topological descriptor
topic Ingeniería
perimeter
Euler number
contact perimeter
topological invariant
topological descriptor
description In this paper an alternative way to compute the (E) Euler number of a binary image via information about its pixels is presented. The P perimeter of the objects in the image, their Pc contact perimeter and the T-type pixel are used to obtain this important invariant. This is the second time the Euler number is described in terms of the contact perimeter of the objects in an image but with new results. The first paper that reports computing the Euler number of a binary shape in terms of the and Pc is in [E. Bribiesca, Computation of the Euler number using the contact perimeter, Computers and Mathematics with Applications 60,1364-137 (2010)]. Bribiesca's proposal is useful only for unit-width shapes. In this paper, we extend Bribiesca's method for non-unit-width shapes.
publishDate 2011
dc.date.none.fl_str_mv 2011
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dc.identifier.none.fl_str_mv 1665-6423
https://www.redalyc.org/articulo.oa?id=47421207006
identifier_str_mv 1665-6423
url https://www.redalyc.org/articulo.oa?id=47421207006
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv http://www.redalyc.org/revista.oa?id=474
dc.rights.none.fl_str_mv Journal of Applied Research and Technology
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Journal of Applied Research and Technology
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Universidad Nacional Autónoma de México
publisher.none.fl_str_mv Universidad Nacional Autónoma de México
dc.source.none.fl_str_mv Journal of Applied Research and Technology (México) Num.3 Vol.9
reponame:Redalyc-UDG
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