Digitizations associated with several types of digital topological approaches

DOI10.1007/s40314-015-0245-0zbMath1361.54002OpenAlexW950161517MaRDI QIDQ520308

Kyung Chan Min, Jeong Min Kang, Sang-Eon Han

Publication date: 3 April 2017

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-015-0245-0

zbMATH Keywords

digital topologydigitizationlocal rule\(L\)-, \(U\)-, \(K\)-, \(M\)-localized neighborhoodconnectedness preserving mapKhalimsky topologyMarcus Wyse topology

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Continuous maps (54C05) Topological characterizations of particular spaces (54F65) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Classification of fiber spaces or bundles in algebraic topology (55R15)

Related Items (14)

Digital topological rough set structures and topological operators ⋮ The fixed point property of an \(M\)-retract and its applications ⋮ Roughness measures of locally finite covering rough sets ⋮ Fixed point property for digital spaces ⋮ Homotopic properties of an \textit{MA}-digitization of 2D Euclidean spaces ⋮ Homotopic properties of $KA$-digitizations of $n$-dimensional Euclidean spaces ⋮ Marcus-Wyse topological rough sets and their applications ⋮ Covering rough set structures for a locally finite covering approximation space ⋮ Digital Space-Type Fixed Point Theory and Its Applications ⋮ Jordan surface theorem for simple closed \textit{SST}-surfaces ⋮ Topological operators of MW-topological rough approximations ⋮ Topological properties of locally finite covering rough sets and \(K\)-topological rough set structures ⋮ Characterizations of an MW-topological rough set structure ⋮ Topological graphs based on a new topology on Zn and its applications

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