The shortest length distance and the digital r-thickening on digital images

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dc.authorid0000-0003-1821-6697en_US
dc.contributor.authorVergili, Tane
dc.date.accessioned2024-07-12T20:48:05Z
dc.date.available2024-07-12T20:48:05Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractA digital image X is a subset of the Cartesian product of the set of integers Z n. To study the features of X without constructing a topology on it, we impose a relation, ?, called an adjacency relation [1] on the points of it to adapt the fundamental concepts of topology such as connectedness, path connectedness, and continuity [2, 3]. Suppose X is a connected digital image, ? is an adjacency relation defined on it, and A is a subset of X. For a point x ? X, Boxer defined the shortest length distance from x to A [4]. Then the shortest length distance turns into a metric function on X by assuming A as a singleton subset of X. The main goal of this study is to measure the distance of two subsets of a connected digital image which is compatible with continuous functions. To do this, we consider this metric function on a connected digital image X and define the concept of r-thickening of a nonempty subset of X for a nonnegative integer r to define the distance between the subsets of X. This talk is about the recent progress of this studyen_US
dc.identifier.citationVergili, T. (2019). The shortest length distance and the digital r-thickening on digital images. International Conference of Mathematical Sciences (ICMS 2019). s. 28.en_US
dc.identifier.endpage28en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage28en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2092
dc.institutionauthorVergili, Tane
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01454
dc.subjectDigital topologyen_US
dc.subjectHausdorff distanceen_US
dc.subjectMetric spaceen_US
dc.titleThe shortest length distance and the digital r-thickening on digital imagesen_US
dc.typeArticle
dspace.entity.typePublication

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