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Uniqueness of the perfect fusion grid on \(\mathbb{Z}^d\)

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Publication:993537
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DOI10.1007/s10851-009-0147-0zbMath1493.68381OpenAlexW2007276134MaRDI QIDQ993537

Jean Cousty, Gilles Bertrand

Publication date: 20 September 2010

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-009-0147-0

zbMATH Keywords

image processingline graphdiscrete geometrydigital topologyadjacency relationchessboardregion mergingperfect fusion graphperfect fusion grid


Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Computational aspects of digital topology (68U03)


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Cites Work

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  • Computer graphics and connected topologies on finite ordered sets
  • Weighted fusion graphs: Merging properties and watersheds
  • Fusion graphs: merging properties and watersheds
  • The Khalimsky topologies are precisely those simply connected topologies on \(\mathbb Z^n\) whose connected sets include all 2\(n\)-connected sets but no (3\(^{n}-1\))-disconnected sets.
  • On topological watersheds
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