Topographic spaces over ordered monoids

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dc.contributor.authorPavlík, J.
dc.coverage.issue1cs
dc.coverage.volume4cs
dc.date.accessioned2016-08-23T07:52:59Z
dc.date.available2016-08-23T07:52:59Z
dc.date.issued2015cs
dc.description.abstractA topography on a set is considered to be a collection of features described by two valuations: distance and elevation. Spaces with such structure will be studied on a general level, with generalized metric (gem) and pseudometric (pseudogem). We show many pseudogem distances and characteristics, particularly those related to the elevation function. We focus on paths in the topographic images and cohesiveness (generalized continuity) of their compositions with the elevation function. Special emphasis is also placed on the spaces arising from the digital geometry and, therefore, oering applications in image processing.en
dc.formattextcs
dc.format.extent31-59cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMathematics for Applications. 2015 vol. 4, č. 1, s. 31-59. ISSN 1805-3629cs
dc.identifier.doi10.13164/ma.2015.04en
dc.identifier.issn1805-3629
dc.identifier.urihttp://hdl.handle.net/11012/63087
dc.language.isoencs
dc.publisherVysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.relation.ispartofMathematics for Applicationsen
dc.relation.urihttp://ma.fme.vutbr.cz/archiv/4_1/ma_4_1_pavlik_final.pdfcs
dc.rights© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.rights.accessopenAccessen
dc.titleTopographic spaces over ordered monoidsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.departmentÚstav matematikycs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
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