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The Euler Number from the Distance Function

dc.contributor.authorGual-Arnau, Ximo
dc.date.accessioned2014-04-02T16:17:35Z
dc.date.available2014-04-02T16:17:35Z
dc.date.issued2013
dc.identifier.issn1580-3139
dc.identifier.issn1854-5165
dc.identifier.urihttp://hdl.handle.net/10234/89309
dc.description.abstractWe present a new method to obtain the Euler number of a domain based on the tangent counts of concentric spheres in R3 (or circles in R2), with respect to the center O, that sweeps the domain. This method is derived from the Poincare-Hopf Theorem, when the index of critical points of the square of the distance function with ´respect to the origin O is considered.ca_CA
dc.format.extent7 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherInternational Society for Stereologyca_CA
dc.relation.isPartOfImage Analysis and Stereology, 2013, vol. 32, no 3ca_CA
dc.rightsThe original publication is available at http://www.wise-t.com/iasca_CA
dc.rightsAttribution-NonCommercial 4.0 Spain*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.subjectCritical pointsca_CA
dc.subjectDistance functionca_CA
dc.subjectEuler numberca_CA
dc.subjectStereologyca_CA
dc.subjectTangent countsca_CA
dc.titleThe Euler Number from the Distance Functionca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.5566/ias.v32.p175-181
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://www.ias-iss.org/ojs/IAS/article/view/1006ca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersionca_CA


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