Homotopic properties of $KA$-digitizations of $n$-dimensional Euclidean spaces
DOI10.15672/hujms.546983zbMath1488.54194OpenAlexW2955446890MaRDI QIDQ5159539
Publication date: 28 October 2021
Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15672/hujms.546983
digital topology\(A\)-mapKhalimsky adjacency\(K\)-localized neighborhood\(LA\)-map\(KA\)-digitization\(A\)-homotopy equivalence\(K\)-topological graph\(LA\)-homotopy equivalence
Computing methodologies for image processing (68U10) Continuous maps (54C05) Topological characterizations of particular spaces (54F65) Weak and generalized continuity (54C08) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Homotopy theory (55P99) 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) Applications of general topology to computer science (e.g., digital topology, image processing) (54H30)
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Cites Work
- Unnamed Item
- A compression of digital images derived from a Khalimsky topological structure
- Homotopy equivalence which is suitable for studying Khalimsky \(n\)D spaces
- A digitization method of subspaces of the Euclidean \(n\)D space associated with the Khalimsky adjacency structure
- Digitizations associated with several types of digital topological approaches
- An \(MA\)-digitization of Hausdorff spaces by using a connectedness graph of the Marcus-Wyse topology
- Computer graphics and connected topologies on finite ordered sets
- Discrete-Euclidean operations
- Discretization in Hausdorff space
- Existence of the category \(\mathit{DTC}_2(k)\) equivalent to the given category \(\mathit{KAC}_2\)
- Homotopic properties of an \textit{MA}-digitization of 2D Euclidean spaces
- Plane digitization and related combinatorial problems
- Digital straightness -- a review
- Axiomatic digital topology
- Continuous digitization in Khalimsky spaces
- SOME PROPERTIES OF LATTICE-BASED K- AND M-MAPS
- Some remarks concerning semi-T1/2 spaces
- Topological structures in computer science
- Digital Straight Line Segments
- Fuzzy digital topology
- Topologies for the digital spaces and
- KD-(k0, k1)-HOMOTOPY EQUIVALENCE AND ITS APPLICATIONS
- Homotopy based on Marcus-Wyse topology and its applications
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