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Capítulo de Libro
Homological tree-based strategies for image analysis
dc.creator | Real Jurado, Pedro | |
dc.creator | Molina Abril, Helena | |
dc.creator | Kropatsch, Walter G. | |
dc.date.accessioned | 2015-12-15T11:28:36Z | |
dc.date.available | 2015-12-15T11:28:36Z | |
dc.date.issued | 2009 | |
dc.identifier.uri | http://hdl.handle.net/11441/31981 | |
dc.description.abstract | Homological characteristics of digital objects can be obtained in a straightforward manner computing an algebraic map φ over a finite cell complex K (with coefficients in the finite field F2={0,1}) which represents the digital object [9]. Computable homological information includes the Euler characteristic, homology generators and representative cycles, higher (co)homology operations, etc. This algebraic map φ is described in combinatorial terms using a mixed three-level forest. Different strategies changing only two parameters of this algorithm for computing φ are presented. Each one of those strategies gives rise to different maps, although all of them provides the same homological information for K. For example, tree-based structures useful in image analysis like topological skeletons and pyramids can be obtained as subgraphs of this forest. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Computer Analysis of Images and Patterns, Lecture Notes in Computer Science, Vol. 5702 p. 326-333 | es |
dc.rights | Atribución-NoComercial-CompartirIgual 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | * |
dc.subject | Cell complex | es |
dc.subject | chain homotopy | es |
dc.subject | digital volume | es |
dc.subject | homology | es |
dc.subject | gradient vector field | es |
dc.subject | image pyramid | es |
dc.subject | tree | es |
dc.subject | skeleton | es |
dc.title | Homological tree-based strategies for image analysis | es |
dc.type | info:eu-repo/semantics/bookPart | 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.identifier.doi | http://dx.doi.org/10.1007/978-3-642-03767-2_40 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/31981 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Homological tree-based.pdf | 211.6Kb | [PDF] | Ver/ | |