Mostrar el registro sencillo del ítem
Artículo
Computing cup products in \(\mathbb {Z}_2\)-cohomology of 3D polyhedral complexes
dc.creator | González Díaz, Rocío | |
dc.creator | Lamar León, Javier | |
dc.creator | Umble, Ronald | |
dc.date.accessioned | 2015-11-23T11:49:07Z | |
dc.date.available | 2015-11-23T11:49:07Z | |
dc.date.issued | 2014 | |
dc.identifier.uri | http://hdl.handle.net/11441/30928 | |
dc.description.abstract | Let \(I=(\mathbb {Z}^3,26,6,B)\) be a three-dimensional (3D) digital image, let \(Q(I)\) be an associated cubical complex, and let \(\partial Q(I)\) be a subcomplex of \(Q(I)\) whose maximal cells are the quadrangles of \(Q(I)\) shared by a voxel of \(B\) in the foreground—the object under study—and by a voxel of \(\mathbb {Z}^3\backslash B\) in the background—the ambient space. We show how to simplify the combinatorial structure of \(\partial Q(I)\) and obtain a 3D polyhedral complex \(P(I)\) homeomorphic to \(\partial Q(I)\) but with fewer cells. We introduce an algorithm that computes cup products in \(H^*(P(I);\mathbb {Z}_2)\) directly from the combinatorics. The computational method introduced here can be effectively applied to any polyhedral complex embedded in \(\mathbb {R}^3\). | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Foundations of Computational Mathematics, 14 (4), 721-744. | es |
dc.rights | Atribución-NoComercial-CompartirIgual 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | * |
dc.subject | Cohomology Cup product Diagonal approximation Digital image Polyhedral complex Polygon | es |
dc.title | Computing cup products in \(\mathbb {Z}_2\)-cohomology of 3D polyhedral complexes | 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/10.1007/s10208-014-9193-0 | es |
dc.journaltitle | Foundations of Computational Mathematics | es |
dc.publication.volumen | 14 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 721 | es |
dc.publication.endPage | 744 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/30928 |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Cups products in Z.pdf | 1.033Mb | [PDF] | Ver/ | |