Digital pseudomanifolds, digital weakmanifolds and Jordan--Brouwer separation theorem

DOI10.1016/S0166-218X(02)00223-8zbMath1010.68199MaRDI QIDQ1861547

Patrick Chenin, Mohammed Khachan, Hafsa Deddi

Publication date: 9 March 2003

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

combinatorial manifoldsdigital topologycombinatorial topologydiscrete space

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10)

Related Items (1)

An intuitionistic proof of a discrete form of the Jordan curve theorem formalized in Coq with combinatorial hypermaps

Cites Work

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• There is no local characterization of separating and thin objects in \({\mathbb{Z}}^{3}\)
• Concepts of digital topology
• Some topological properties of surfaces in \(Z^3\)
• Continuous analogs of axiomatized digital surfaces
• Surfaces in three-dimensional digital images
• Digital surfaces
• Polyhedral Representation and Adjacency Graph in n-dimensional Digital Images

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