dc.creator | Molina Abril, Helena | es |
dc.creator | Real Jurado, Pedro | es |
dc.creator | Díaz del Río, Fernando | es |
dc.date.accessioned | 2021-06-18T09:32:23Z | |
dc.date.available | 2021-06-18T09:32:23Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Molina Abril, H., Real Jurado, P. y Díaz del Río, F. (2020). Generating (co)homological information using boundary scale. Pattern Recognition Letters, 133 (May 2020), 240-246. | |
dc.identifier.issn | 0167-8655 | es |
dc.identifier.uri | https://hdl.handle.net/11441/111880 | |
dc.description.abstract | In this paper we develop a new computational technique called boundary scale-space theory. This tech- nique is based on the topol1 ogical paradigm consisting of representing a geometric subdivided object K using a one-parameter family of geometric objects { Ki }i ≥ 1 all of them having the same number of closed pieces than K. Each piece of Ki ( ∀i ≥ 1) presents the same interior part than the corresponding one in K, and a different boundary part depending on the scale i. Working with coefficients in a field, a scale is installed for the algebraic boundary of each piece and a new invariant for cell complex isomorphisms is given in terms of the Betti numbers of the generated boundary-scale-space cell complexes. Moreover, the so called homology boundary scale-space model of K ( hbss -model for short) is introduced here. Thismodel consists of a hierarchical graph whose nodes are the homology generators of the different bound- ary scale levels and whose edges are specified by homology generators of consecutive boundary scaleindices linked by ( hbss -transition maps) preserving homology classes. Various codes for each connectedsubgraph of an hbss -model are defined, which besides being fast and efficient similarity measures for cel- lular structures, they are as well relevant interpretive tools for the hbss -model. Finally, experimentations mainly aimed at clarifying and understanding the notion of hbss -model, as well as conjecturing about new graph isomorphism invariants (seeing graphs as a 1-dimensional cell complexes), are performed. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2016-81030-P | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad TEC2016-77785-P | es |
dc.format | application/pdf | es |
dc.format.extent | 7 | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Pattern Recognition Letters, 133 (May 2020), 240-246. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Geometric cell complex | es |
dc.subject | Algebraic-topological model | es |
dc.subject | Scale-space model | es |
dc.subject | Homology groups | es |
dc.subject | Hierarchical graph | es |
dc.title | Generating (co)homological information using boundary scale | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Arquitectura y Tecnología de Computadores | es |
dc.relation.projectID | MTM2016-81030-P | es |
dc.relation.projectID | TEC2016-77785-P | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0167865520300738 | es |
dc.identifier.doi | 10.1016/j.patrec.2020.02.028 | es |
dc.journaltitle | Pattern Recognition Letters | es |
dc.publication.volumen | 133 | es |
dc.publication.issue | May 2020 | es |
dc.publication.initialPage | 240 | es |
dc.publication.endPage | 246 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |