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Two Measures for the Homology Groups of Binary Volumes
dc.creator | González Lorenzo, Aldo | es |
dc.creator | Bac, Alexandra | es |
dc.creator | Mari, Jean-Luc | es |
dc.creator | Real Jurado, Pedro | es |
dc.date.accessioned | 2021-10-04T10:18:08Z | |
dc.date.available | 2021-10-04T10:18:08Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | González Lorenzo, A., Bac, A., Mari, J. y Real Jurado, P. (2016). Two Measures for the Homology Groups of Binary Volumes. En DGCI 2016: 19th IAPR International Conference on Discrete Geometry for Computer Imagery (154-165), Nantes, France: Springer. | |
dc.identifier.isbn | 978-3-319-32359-6 | es |
dc.identifier.issn | 0302-9743 | es |
dc.identifier.uri | https://hdl.handle.net/11441/126438 | |
dc.description.abstract | Given a binary object (2D or 3D), its Betti numbers characterize the number of holes in each dimension. They are obtained algebraically, and even though they are perfectly defined, there is no unique way to display these holes. We propose two geometric measures for the holes, which are uniquely defined and try to compensate the loss of geometric information during the homology computation: the thickness and the breadth. They are obtained by filtering the information of the persistent homology computation of a filtration defined through the signed distance transform of the binary object. | es |
dc.format | application/pdf | es |
dc.format.extent | 12 | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | DGCI 2016: 19th IAPR International Conference on Discrete Geometry for Computer Imagery (2016), pp. 154-165. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Two Measures for the Homology Groups of Binary Volumes | es |
dc.type | info:eu-repo/semantics/conferenceObject | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.publisherversion | https://link.springer.com/chapter/10.1007%2F978-3-319-32360-2_12 | es |
dc.identifier.doi | 10.1007/978-3-319-32360-2_12 | es |
dc.publication.initialPage | 154 | es |
dc.publication.endPage | 165 | es |
dc.eventtitle | DGCI 2016: 19th IAPR International Conference on Discrete Geometry for Computer Imagery | es |
dc.eventinstitution | Nantes, France | es |
dc.relation.publicationplace | Cham, Switzerland | es |
dc.identifier.sisius | 21021341 | es |
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Two measures for the homology ... | 2.996Mb | [PDF] | Ver/ | |