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Capítulo de Libro
A Graph-with-Loop Structure for a Topological Representation of 3D Objects
dc.creator | González Díaz, Rocío | |
dc.creator | Jiménez Rodríguez, María José | |
dc.creator | Medrano Garfia, Belén | |
dc.creator | Real Jurado, Pedro | |
dc.date.accessioned | 2015-11-12T10:56:36Z | |
dc.date.available | 2015-11-12T10:56:36Z | |
dc.date.issued | 2007 | |
dc.identifier.uri | http://hdl.handle.net/11441/30657 | |
dc.description.abstract | Given a cell complex K whose geometric realization |K| is embedded in R 3 and a continuous function h: |K|→R (called the height function), we construct a graph G h (K) which is an extension of the Reeb graph R h (|K|). More concretely, the graph G h (K) without loops is a subdivision of R h (|K|). The most important difference between the graphs G h (K) and R h (|K|) is that G h (K) preserves not only the number of connected components but also the number of “tunnels” (the homology generators of dimension 1) of K. The latter is not true in general for R h (|K|). Moreover, we construct a map ψ: G h (K)→K identifying representative cycles of the tunnels in K with the ones in G h (K) in the way that if e is a loop in G h (K), then ψ(e) is a cycle in K such that all the points in |ψ(e)| belong to the same level set in |K|. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Computer Analysis of Images and Patterns (CAIP 2007), Lecture Notes in Computer Science, Vol. 4673, p. 506-513 | es |
dc.rights | Atribución-NoComercial-CompartirIgual 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | * |
dc.subject | Pattern Recognition | es |
dc.subject | Image Processing and Computer Vision | es |
dc.subject | Artificial Intelligence | es |
dc.subject | Robotics Computer Graphics Algorithm Analysis and Problem Complexity | es |
dc.title | A Graph-with-Loop Structure for a Topological Representation of 3D Objects | 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/10.1007/978-3-540-74272-2_63 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/30657 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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A graph with Loop structure.pdf | 547.4Kb | [PDF] | Ver/ | |