Correspondence between topological and discrete connectivities in Hausdorff discretization

DOI10.1515/mathm-2019-0001zbMath1469.68148OpenAlexW2985978875WikidataQ126829649 ScholiaQ126829649MaRDI QIDQ1980881

Loïc Mazo, Christian Ronse, Mohamed Tajine

Publication date: 9 September 2021

Published in: Mathematical Morphology. Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/mathm-2019-0001

zbMATH Keywords

metric spaceclosed settopological connectivityadjacency graphpartial connectionHausdorff discretization

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Connectivity (05C40) Computational aspects of digital topology (68U03)

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Cites Work

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• Connectivity on complete lattices
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• Discretization in Hausdorff space
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• Algorithmic and explicit determination of the Lovász number for certain circulant graphs
• Object discretizations in higher dimensions
• MORPHOLOGICAL SAMPLING OF CLOSED SETS
• On Connectivity of Discretized 2D Explicit Curve

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