A 3D digital Jordan-Brouwer separation theorem

DOI10.1007/s40314-020-01249-wzbMath1463.68135OpenAlexW3042857148MaRDI QIDQ2196276

Josef Šlapal

Publication date: 28 August 2020

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

Full work available at URL: https://doi.org/10.1007/s40314-020-01249-w

zbMATH Keywords

connectednessdigital spaceJordan-Brouwer separation theorem\(n\)-ary relationdigital surface

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Computational aspects of digital topology (68U03)

Cites Work

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• Computer graphics and connected topologies on finite ordered sets
• A Jordan surface theorem for three-dimensional digital spaces
• Relation-induced connectedness in the digital plane
• Continuous analogs of axiomatized digital surfaces
• Surfaces in three-dimensional digital images
• Recognition of surfaces in three-dimensional digital images

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