A digitization method of subspaces of the Euclidean \(n\)D space associated with the Khalimsky adjacency structure

DOI10.1007/s40314-015-0223-6zbMath1379.54013OpenAlexW1973686088MaRDI QIDQ520261

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/s40314-015-0223-6

zbMATH Keywords

mathematical morphologydigital topology\(A\)-isomorphism\(A\)-mapKhalimsky adjacency\(K\)-localized neighborhood\(LA\)-isomorphism\(LA\)-mapdigitizationKhalimsky \(n\)D spacelocal rule

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Continuous maps (54C05) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Weak and generalized continuity (54C08) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (10)

Digital topological rough set structures and topological operators ⋮ Semi-topological properties of the \(K\)-topological version of the Jordan curve theorem ⋮ Roughness measures of locally finite covering rough sets ⋮ 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 properties of locally finite covering rough sets and \(K\)-topological rough set structures ⋮ Topological graphs based on a new topology on Zn and its applications

Cites Work

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• A compression of digital images derived from a Khalimsky topological structure
• Computer graphics and connected topologies on finite ordered sets
• A quotient-universal digital topology
• Discretization in Hausdorff space
• Equivalent \((k_{0},k_{1})\)-covering and generalized digital lifting
• Non-product property of the digital fundamental group
• Some remarks concerning semi-T1/2 spaces
• CONTINUITIES AND HOMEOMORPHISMS IN COMPUTER TOPOLOGY AND THEIR APPLICATIONS
• Convenient Closure Operators on $\mathbb Z^2$
• Fuzzy digital topology
• KD-(k₀, k₁)-HOMOTOPY EQUIVALENCE AND ITS APPLICATIONS

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