Results 41 to 50 of about 75 (63)
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Holes Problem Solving in Khalimsky Topology Protocol for Wireless Sensor Networks (WSNs)
Journal of Interconnection Networks, 2023In this paper, we propose an approach solving the holes problem in Wireless Sensor Networks (WSNs) based on Khalimsky k-Clustering and data routing protocol (MDKC). The aim of this solution is to establish optimized data routing paths between isolated nodes/clusters and the Sink in noisy environment with the presence of obstacles.
Mahmoud Mezghani, Omnia Mezghani
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Topologies associated with the one point compactifications of Khalimsky topological spaces
Topology and its Applications, 2018Based on the one point compactification of the Khalimsky line (resp., the Khalimsky plane), denoted by \(({\mathbb Z}^\ast, \kappa^\ast)\) (resp., \((({\mathbb Z}^2)^\ast, (\kappa^2)^\ast)\)), the paper studies various properties of these compactifications involving the semi-\(T_{\frac{1}{2}}\) axiom, a non-Alexandroff structure, a non-cut-point space,
Han, Sang-Eon, Na, Il-Kang
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Topological aspects of the Khalimsky topological rough approximations
Topology and its ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Sang-Eon, Jafari, S.
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Topologically correct cortical segmentation using Khalimsky's cubic complex framework
SPIE Proceedings, 2011Automatic segmentation of the cerebral cortex from magnetic resonance brain images is a valuable tool for neuroscience research. Due to the presence of noise, intensity non-uniformity, partial volume effects, the limited resolution of MRI and the highly convoluted shape of the cerebral cortex, segmenting the brain in a robust, accurate and ...
Manuel Jorge Cardoso +5 more
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Semi-separation axioms of the infinite Khalimsky topological sphere
Topology and its Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Extraction of Topologically Correct Thickness Measurements Using Khalimsky’s Cubic Complex
2011The extraction of thickness measurements from shapes with spherical topology has been an active area of research in medical imaging. Measuring the thickness of structures from automatic probabilistic ume (PV) effects and the limited resolution of medical images. Also, the complexity of certain shapes, like the highly convoluted and PV ments.
Manuel Jorge Cardoso +3 more
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A Relational Generalization of the Khalimsky Topology
2017We discuss certain n-ary relations (\(n>1\) an integer) and show that each of them induces a connectedness on its underlying set. Of these n-ary relations, we study a particular one on the digital plane \(\mathbb Z^2\) for every integer \(n>1\). As the main result, for each of the n-ary relations studied, we prove a digital analogue of the Jordan curve
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A Khalimsky-Like Topology on the Triangular Grid
It is well known that there are topological paradoxes in digital geometry and in digital image processing. The most studied such paradoxes are on the square grid, causing the fact that the digital version of the Jordan curve theorem needs some special care. In a nutshell, the paradox can be interpreted by lines, e.g., two different color diagonals of aopenaire +2 more sources