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Boundaries in digital spaces

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dc.contributor.author Herman, Gabor T. es_ES
dc.date.accessioned 2017-06-16T10:46:11Z
dc.date.available 2017-06-16T10:46:11Z
dc.date.issued 2007-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/83055
dc.description.abstract [EN] Intuitively, a boundary in an N-dimensional digital space is a connected component of the (N − 1)-dimensional surface of a connected object. In this paper we make these concepts precise, and show that the boundaries so specified have properties that are intuitively desirable. We provide some efficient algorithms for tracking such boundaries. We illustrate that the algorithms can be used, in particular, for computer graphic display of internal structures (such as the skull and the spine) in the human body based on the output of medical imaging devices (such as CT scanners). In the process some interesting mathematical results are proven regarding “digital Jordan boundaries,” such as a specification of a local condition that guarantees the global condition of “Jordanness.” es_ES
dc.description.sponsorship The research of the author is currently supported by NIH grant HL070472 and NSF grant DMS0306215.
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation NIH/HL070472 es_ES
dc.relation NSF/DMS0306215. es_ES
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Boundaries es_ES
dc.subject Surfaces es_ES
dc.subject Tracking es_ES
dc.subject Algorithms es_ES
dc.subject Digital topology es_ES
dc.subject Geometry es_ES
dc.subject Digital space es_ES
dc.title Boundaries in digital spaces es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-16T10:25:34Z
dc.identifier.doi 10.4995/agt.2007.1918
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Herman, GT. (2007). Boundaries in digital spaces. Applied General Topology. 8(1):93-149. doi:10.4995/agt.2007.1918. es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2007.1918 es_ES
dc.description.upvformatpinicio 93 es_ES
dc.description.upvformatpfin 149 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 8
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.contributor.funder National Institutes of Health, EEUU (NIH)
dc.contributor.funder National Science Foundation, EEUU (NSF)


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