On 2-dimensional simple sets in \(n\)-dimensional cubic grids

DOI10.1007/s00454-009-9195-xzbMath1201.68139OpenAlexW2055734345MaRDI QIDQ972600

Nicolas Passat, Loïc Mazo

Publication date: 21 May 2010

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-009-9195-x

zbMATH Keywords

thinningtopology preservationdigital topologycubical complexessimple sets\(n\)-dimensional spaces

Mathematics Subject Classification ID

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

Related Items

On 2-dimensional simple sets in \(n\)-dimensional cubic grids ⋮ Topological properties of thinning in 2-D pseudomanifolds

Uses Software

• CAPD

Cites Work

• Homology algorithm based on acyclic subspace
• On 2-dimensional simple sets in \(n\)-dimensional cubic grids
• Topological properties of thinning in 2-D pseudomanifolds
• A topological characterization of thinning
• On the cohomology of 3D digital images
• A concise characterization of 3D simple points
• On critical kernels
• On the dunce hat
• A new characterization of three-dimensional simple points
• Connectivity in Digital Pictures
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