Jordan Curve Theorems with Respect to Certain Pretopologies on $\mathbb Z^2$

DOI10.1007/978-3-642-04397-0_22zbMath1261.68118OpenAlexW2104981517MaRDI QIDQ3648789

Josef Šlapal

Publication date: 1 December 2009

Published in: Discrete Geometry for Computer Imagery (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-04397-0_22

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (8)

Unnamed Item ⋮ A closure operator for the digital plane ⋮ Closure operators on graphs for modeling connectedness in digital spaces ⋮ Relation-induced connectedness in the digital plane ⋮ A convenient graph connectedness for digital imagery ⋮ Galois connections between sets of paths and closure operators in simple graphs ⋮ Alexandroff pretopologies for structuring the digital plane ⋮ Path-induced closure operators on graphs for defining digital Jordan surfaces

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
• Digital Topology
• A Topological Approach to Digital Topology
• Topologies for the digital spaces and

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