Characterization of Simple Closed Surfaces in ℤ3: A New Proposition with a Graph-Theoretical Approach

DOI10.1007/978-3-642-04397-0_25zbMath1261.68133OpenAlexW2145102518MaRDI QIDQ3648792

Jean-Luc Toutant, Rémy Malgouyres

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_25

Mathematics Subject Classification ID

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

Cites Work

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• There is no local characterization of separating and thin objects in \({\mathbb{Z}}^{3}\)
• A definition of surfaces of \({\mathbb{Z}}^{3}\). A new 3D discrete Jordan theorem
• Surfaces in three-dimensional digital images
• Arcs and Curves in Digital Pictures

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