Mostrar el registro sencillo del ítem
Artículo
Chain Homotopies for Object Topological Representations
dc.creator | Jiménez Rodríguez, María José | |
dc.creator | Medrano Garfia, Belén | |
dc.creator | Real Jurado, Pedro | |
dc.creator | González Díaz, Rocío | |
dc.date.accessioned | 2015-11-13T10:53:26Z | |
dc.date.available | 2015-11-13T10:53:26Z | |
dc.date.issued | 2011 | |
dc.identifier.uri | http://hdl.handle.net/11441/30726 | |
dc.description.abstract | This paper presents a set of tools to compute topological information of simplicial complexes, tools that are applicable to extract topological information from digital pictures. A simplicial complex is encoded in a (non-unique) algebraic-topological format called AM-model. An AM-model for a given object K is determined by a concrete chain homotopy and it provides, in particular, integer (co)homology generators of K and representative (co)cycles of these generators. An algorithm for computing an AM-model and the cohomological invariant HB1 (derived from the rank of the cohomology ring) with integer coefficients for a finite simplicial complex in any dimension is designed here. A concept of generators which are "nicely" representative cycles is also presented. Moreover, we extend the definition of AM-models to 3D binary digital images and we design algorithms to update the AM-model information after voxel set operations (union, intersection, difference and inverse). | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Discrete Applied Mathematics, 157 (3), 490-499. | es |
dc.rights | Atribución-NoComercial-CompartirIgual 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | * |
dc.title | Chain Homotopies for Object Topological Representations | 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/10.1016/j.dam.2008.05.029 | es |
dc.journaltitle | Discrete Applied Mathematics | es |
dc.publication.volumen | 157 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 490 | es |
dc.publication.endPage | 499 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/30726 |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Chain homotopies.pdf | 280.3Kb | [PDF] | Ver/ | |