A Jordan Curve Theorem in the Digital Plane

DOI10.1007/978-3-642-21073-0_13zbMath1330.68317OpenAlexW1496539692MaRDI QIDQ3003528

Josef Šlapal

Publication date: 27 May 2011

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-21073-0_13

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (3)

Unnamed Item ⋮ A convenient graph connectedness for digital imagery ⋮ A Jordan curve theorem with respect to a pretopology on ℤ²

Cites Work

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• Boundaries in digital planes
• Computer graphics and connected topologies on finite ordered sets
• A quotient-universal digital topology
• A Jordan surface theorem for three-dimensional digital spaces
• Closure operations for digital topology.
• A digital analogue of the Jordan curve theorem
• Digital Jordan curves
• Convenient Closure Operators on $\mathbb Z^2$
• Digital Topology
• A Topological Approach to Digital Topology
• Topologies for the digital spaces and

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