Alexandroff pretopologies for structuring the digital plane

DOI10.1016/J.DAM.2016.06.002zbMath1370.68305OpenAlexW2472044713MaRDI QIDQ528328

Josef Šlapal

Publication date: 12 May 2017

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

Full work available at URL: https://doi.org/10.1016/j.dam.2016.06.002

zbMATH Keywords

digital planeJordan curveAlexandroff pretopologyconnectedness graphquotient pretopology

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A compression of digital images derived from a Khalimsky topological structure
• Generalizations of continuity of maps and homeomorphisms for studying 2D digital topological spaces and their applications
• 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
• Jordan curves in the digital plane
• Digital Jordan curves
• Jordan Curve Theorems with Respect to Certain Pretopologies on $\mathbb Z^2$
• Convenient Closure Operators on $\mathbb Z^2$
• Digital Topology
• A Topological Approach to Digital Topology

This page was built for publication: Alexandroff pretopologies for structuring the digital plane