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https://hdl.handle.net/1822/11595
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Campo DC | Valor | Idioma |
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dc.contributor.author | Berciano, Ainhoa | - |
dc.contributor.author | Molina-Abril, Helena | - |
dc.contributor.author | Pacheco, Ana | - |
dc.contributor.author | Pilarczyk, Pawel | - |
dc.contributor.author | Real, Pedro | - |
dc.date.accessioned | 2011-01-12T15:35:51Z | - |
dc.date.available | 2011-01-12T15:35:51Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | In BRLEK, Srecko ; REUTENAUER, Christophe ; PROVENÇAL, Xavier, eds. - "Discrete Geometry for Computer Imagery : proceedigns of the 15th IAPR International Conference, Montréal, Canada, 2009." Berlin : Springer, 2009. ISBN 978-3642-04396-3. p. 263-274. | por |
dc.identifier.isbn | 978-3642-04396-3 | - |
dc.identifier.issn | 0302-9743 | por |
dc.identifier.uri | https://hdl.handle.net/1822/11595 | - |
dc.description.abstract | The homology of binary 3{dimensional digital images (digi- tal volumes) provides concise algebraic description of their topology in terms of connected components, tunnels and cavities. Homology gener- ators corresponding to these features are represented by nontrivial 0{ cycles, 1{cycles and 2{cycles, respectively. In the framework of cubical representation of digital volumes with the topology that corresponds to the 26{connectivity between voxels, we introduce a method for algorith- mic computation of a coproduct operation that can be used to decom- pose 2{cycles into products of 1{cycles (possibly trivial). This coproduct provides means of classifying di erent kinds of cavities; in particular, it allows to distinguish certain homotopically non-equivalent spaces that have isomorphic homology. We de ne this coproduct at the level of a cubical complex built directly upon voxels of the digital image, and we construct it by means of the classical Alexander-Whitney map on a sim- plicial subdivision of faces of the voxels. | por |
dc.description.sponsorship | Spanish MEC - projecto MTM2006-03722 | por |
dc.description.sponsorship | Computational Topology and Applied Mathematics" PAICYT projecto de investigação FQM-296 | por |
dc.description.sponsorship | Andalusian research project" PO6-TIC-02268 Austrian Science | por |
dc.description.sponsorship | Austrian Science Fund - bolsa P20134-N13 | por |
dc.language.iso | eng | por |
dc.publisher | Springer | por |
dc.rights | restrictedAccess | por |
dc.subject | Homology | por |
dc.subject | Cubical homology | por |
dc.subject | Cubical set | por |
dc.subject | Cell complex | por |
dc.subject | Digital image | por |
dc.subject | Cavity | por |
dc.subject | Cycle | por |
dc.subject | Alexander Whitney diagonal | por |
dc.subject | Chain homotopy | por |
dc.subject | Algebraic gradient vector eld | por |
dc.subject | algebraic gradient vector field | por |
dc.title | Decomposing cavities in digital volumes into products of cycles | por |
dc.type | conferencePaper | por |
dc.peerreviewed | yes | por |
oaire.citationStartPage | 263 | por |
oaire.citationEndPage | + | por |
oaire.citationVolume | 5810 | por |
dc.identifier.doi | 10.1007/978-3-642-04397-0_23 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Lecture Notes in Computer Science | por |
sdum.conferencePublication | DISCRETE GEOMETRY FOR COMPUTER IMAGERY, PROCEEDINGS | por |
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2009aw3d.pdf Acesso restrito! | Preprint of the book chapter | 482,29 kB | Adobe PDF | Ver/Abrir |