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There is no local characterization of separating and thin objects in \({\mathbb{Z}}^{3}\)

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Publication:671376
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DOI10.1016/0304-3975(96)00021-7zbMath0874.68288OpenAlexW2081252849MaRDI QIDQ671376

Rémy Malgouyres

Publication date: 27 February 1997

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-3975(96)00021-7


zbMATH Keywords

connected componentslocal characterizationconnected subsetthin objects


Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)


Related Items (3)

Characterization of Simple Closed Surfaces in ℤ3: A New Proposition with a Graph-Theoretical Approach ⋮ Connected sum of digital closed surfaces ⋮ Digital pseudomanifolds, digital weakmanifolds and Jordan--Brouwer separation theorem



Cites Work

  • Surfaces in three-dimensional digital images
  • A converse to the Jordan curve theorem for digital curves
  • Arcs and Curves in Digital Pictures


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