On the cohomology of 3D digital images

González Díaz, Rocío; Real Jurado, Pedro

doi:http://dx.doi.org/doi:10.1016/j.dam.2004.09.014

Artículo

dc.creator	González Díaz, Rocío
dc.creator	Real Jurado, Pedro
dc.date.accessioned	2015-11-18T08:54:41Z
dc.date.available	2015-11-18T08:54:41Z
dc.date.issued	2005
dc.identifier.citation	González Díaz, R. y Real Jurado, P. (2005). On the cohomology of 3D digital images. Discrete Applied Mathematics 147, 147 (2-3), 245-263.	es
dc.identifier.uri	http://hdl.handle.net/11441/30798
dc.description.abstract	We propose a method for computing the cohomology ring of three-dimensional (3D) digital binary-valued pictures. We obtain the cohomology ring of a 3D digital binary-valued picture I , via a simplicial complex K(I)K(I) topologically representing (up to isomorphisms of pictures) the picture I. The usefulness of a simplicial description of the “digital” cohomology ring of 3D digital binary-valued pictures is tested by means of a small program visualizing the different steps of the method. Some examples concerning topological thinning, the visualization of representative (co)cycles of (co)homology generators and the computation of the cup product on the cohomology of simple pictures are showed.	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.relation.ispartof	Discrete Applied Mathematics 147(2-3): 245-263 (2005)	es
dc.rights	Atribución-NoComercial-CompartirIgual 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/4.0/	*
dc.subject	Digital topology	es
dc.subject	Chain complexes	es
dc.subject	Cohomology ring	es
dc.title	On the cohomology of 3D digital images	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Matemática Aplicada I	es
dc.identifier.doi	http://dx.doi.org/doi:10.1016/j.dam.2004.09.014	es
dc.journaltitle	Discrete Applied Mathematics 147	es
dc.publication.volumen	147	es
dc.publication.issue	2-3	es
dc.publication.initialPage	245	es
dc.publication.endPage	263	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/30798

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