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Strong Euler well-composedness

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Publication:2084661
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DOI10.1007/s10878-021-00837-8zbMath1504.90112OpenAlexW4200392567MaRDI QIDQ2084661

Nicolas Boutry, Eduardo Paluzo-Hildago, Maria-Jose Jimenez, Rocío González-Díaz

Publication date: 18 October 2022

Published in: Journal of Combinatorial Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10878-021-00837-8


zbMATH Keywords

manifoldsEuler characteristicdiscrete geometrydigital topologycubical complexeswell-composedness


Mathematics Subject Classification ID

Combinatorial optimization (90C27)




Cites Work

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  • Discrete representations of spatial objects in computer vision
  • A tutorial on well-composedness
  • Euler well-composedness
  • A 4D counter-example showing that DWCness does not imply CWCness in \(n\)D
  • Weakly well-composed cell complexes over nD pictures
  • Equivalence between digital well-composedness and well-composedness in the sense of Alexandrov on \(n\)-d cubical grids
  • 3D well-composed polyhedral complexes
  • Efficiently storing well-composed polyhedral complexes computed over 3D binary images
  • How to Make nD Functions Digitally Well-Composed in a Self-dual Way
  • A Quasi-linear Algorithm to Compute the Tree of Shapes of nD Images


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