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dc.creatorIglesias Ham, Mabeles
dc.creatorGarcía Reyes, Edeles
dc.creatorKropatsch, Walter G.es
dc.creatorGonzález Díaz, Rocíoes
dc.date.accessioned2015-06-29T11:34:28Z
dc.date.available2015-06-29T11:34:28Z
dc.date.issued2010es
dc.identifier.issn1885-4508es
dc.identifier.urihttp://hdl.handle.net/11441/26215
dc.description.abstractAn algorithm to compute a minimal length basis of representative cocycles of cohomology generators for 2D images is proposed. We based the computations on combinatorial pyramids foreseeing its future extension to 3D objects. In our research we are looking for a more refined topological description of deformable 2D and 3D shapes, than they are the often used Betti numbers. We define contractions on the object edges toward the inner of the object until the boundaries touch each other, building an irregular pyramid with this purpose. We show the possible use of the algorithm seeking the minimal cocycles that connect the convex deficiencies on a human silhouette. We used minimality in the number of cocycle edges in the basis, which is a robust description to rotations and noise.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherUniversidad de Sevillaes
dc.relation.ispartofImage-A : Applicable Mathematics in Image Engineering, 1 (3), 121-128es
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Españaes
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/es
dc.subjectCohomologyes
dc.subjectCombinatorial pyramidses
dc.subjectRepresentative cocycles of cohomology generatorses
dc.titleAlgorithm to Compute a Minimal Length Basis of Representative Cocycles of Cohomology Generatorses
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada Ies
dc.relation.publisherversionhttp://institucional.us.es/revistas/imagen_a/3/art_2.pdfes
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/26215

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