Computing the Euler Number of a Binary Image Based on a Vertex Codification

Computing the Euler Number of a Binary Image Based on a Vertex Codification

We describe a method to compute the Euler number of a binary digital image based on a codification of contour pixels of the image's shapes. The overall procedure evolves from a set of lemmas and theorems, their demonstration and their numerical validation. The method is supported through an experimental set which analyzes some digital images and their outcome to demonstrate the applicability of the procedure. The paper also includes a discussion about present and futures steps on this research.

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Main Authors: Sossa-Azuela,J. H., Santiago-Montero,R., Pérez-Cisneros,M., Rubio-Espino,E.
Format: Digital revista
Language:English
Published: Universidad Nacional Autónoma de México, Instituto de Ciencias Aplicadas y Tecnología 2013
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1665-64232013000300006
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spelling oai:scielo:S1665-642320130003000062014-06-05Computing the Euler Number of a Binary Image Based on a Vertex CodificationSossa-Azuela,J. H.Santiago-Montero,R.Pérez-Cisneros,M.Rubio-Espino,E. binary shape description Euler number topological descriptor topological invariant We describe a method to compute the Euler number of a binary digital image based on a codification of contour pixels of the image's shapes. The overall procedure evolves from a set of lemmas and theorems, their demonstration and their numerical validation. The method is supported through an experimental set which analyzes some digital images and their outcome to demonstrate the applicability of the procedure. The paper also includes a discussion about present and futures steps on this research.info:eu-repo/semantics/openAccessUniversidad Nacional Autónoma de México, Instituto de Ciencias Aplicadas y TecnologíaJournal of applied research and technology v.11 n.3 20132013-06-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1665-64232013000300006en
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country México
countrycode MX
component Revista
access En linea
databasecode rev-scielo-mx
tag revista
region America del Norte
libraryname SciELO
language English
format Digital
author Sossa-Azuela,J. H.
Santiago-Montero,R.
Pérez-Cisneros,M.
Rubio-Espino,E.
spellingShingle Sossa-Azuela,J. H.
Santiago-Montero,R.
Pérez-Cisneros,M.
Rubio-Espino,E.
Computing the Euler Number of a Binary Image Based on a Vertex Codification
author_facet Sossa-Azuela,J. H.
Santiago-Montero,R.
Pérez-Cisneros,M.
Rubio-Espino,E.
author_sort Sossa-Azuela,J. H.
title Computing the Euler Number of a Binary Image Based on a Vertex Codification
title_short Computing the Euler Number of a Binary Image Based on a Vertex Codification
title_full Computing the Euler Number of a Binary Image Based on a Vertex Codification
title_fullStr Computing the Euler Number of a Binary Image Based on a Vertex Codification
title_full_unstemmed Computing the Euler Number of a Binary Image Based on a Vertex Codification
title_sort computing the euler number of a binary image based on a vertex codification
description We describe a method to compute the Euler number of a binary digital image based on a codification of contour pixels of the image's shapes. The overall procedure evolves from a set of lemmas and theorems, their demonstration and their numerical validation. The method is supported through an experimental set which analyzes some digital images and their outcome to demonstrate the applicability of the procedure. The paper also includes a discussion about present and futures steps on this research.
publisher Universidad Nacional Autónoma de México, Instituto de Ciencias Aplicadas y Tecnología
publishDate 2013
url http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1665-64232013000300006
work_keys_str_mv AT sossaazuelajh computingtheeulernumberofabinaryimagebasedonavertexcodification
AT santiagomonteror computingtheeulernumberofabinaryimagebasedonavertexcodification
AT perezcisnerosm computingtheeulernumberofabinaryimagebasedonavertexcodification
AT rubioespinoe computingtheeulernumberofabinaryimagebasedonavertexcodification
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