Mostrar el registro sencillo del ítem
Capítulo de Libro
Towards Minimal Barcodes
dc.creator | González Díaz, Rocío | |
dc.creator | Jiménez Rodríguez, María José | |
dc.creator | Krim, Hamid | |
dc.date.accessioned | 2015-11-16T12:01:34Z | |
dc.date.available | 2015-11-16T12:01:34Z | |
dc.date.issued | 2013 | |
dc.identifier.uri | http://hdl.handle.net/11441/30771 | |
dc.description.abstract | In the setting of persistent homology computation, a useful tool is the persistence barcode representation in which pairs of birth and death times of homology classes are encoded in the form of intervals. Starting from a polyhedral complex K (an object subdivided into cells which are polytopes) and an initial order of the set of vertices, we are concerned with the general problem of searching for filters (an order of the rest of the cells) that provide a minimal barcode representation in the sense of having minimal number of “k-significant” intervals, which correspond to homology classes with life-times longer than a fixed number k. As a first step, in this paper we provide an algorithm for computing such a filter for k = 1 on the Hasse diagram of the poset of faces of K. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Graph-Based Representations in Pattern Recognition, Lecture Notes in Computer Science, Vol. 7877 p.184-193 | es |
dc.rights | Atribución-NoComercial-CompartirIgual 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | * |
dc.subject | Persistent homology | es |
dc.subject | persistence barcodes | es |
dc.subject | graphs | es |
dc.subject | polyhedral complexes | es |
dc.title | Towards Minimal Barcodes | es |
dc.type | info:eu-repo/semantics/bookPart | 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/10.1007/978-3-642-38221-5_20 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/30771 |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Towards minimal barcodes.pdf | 657.4Kb | [PDF] | Ver/ | |