Digital Hausdorff distance on a connected digital image

dc.contributor.authorVergili, Tane
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-22T09:03:00Z
dc.date.available2021-11-22T09:03:00Z
dc.date.issued2020-12-31
dc.description.abstractA digital image X can be considered as a subset of Zⁿ together with an adjacency relation where Z is the set of the integers and n is a natural number. The aim of this study is to measure the closeness of two subsets of a connected digital image. To do this, we adapt the Hausdorff distance in the topological setting to its digital version. In this paper, we define a metric on a connected digital image by using the length of the shortest digital simple path. Then we use this metric to define the r-thickening of the subsets of a connected digital image and define the digital Hausdorff distance between them.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage1082tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue2tr_TR
dc.identifier.startpage1070tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.620674tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76195
dc.identifier.volume69tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.620674tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectDigital topologytr_TR
dc.subjectHausdorff distancetr_TR
dc.subjectDigital imagetr_TR
dc.titleDigital Hausdorff distance on a connected digital imagetr_TR
dc.typeArticletr_TR

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