Equivalence between closed connected \(n\)-\(G\)-maps without multi-incidence and \(n\)-surfaces

DOI10.1007/s10851-008-0084-3zbMath1451.05054OpenAlexW1972675407MaRDI QIDQ2319524

Pascal Lienhardt, Xavier Daragon, Sylvie Alayrangues, Jacques-Olivier Lachaud

Publication date: 19 August 2019

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

Full work available at URL: https://doi.org/10.1007/s10851-008-0084-3

zbMATH Keywords

computational geometrygeometric modelingsubdivisionsgeneralized maps\(n\)-surfacescomparison of combinatorial structuresdiscrete imagery

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Planar graphs; geometric and topological aspects of graph theory (05C10) Machine vision and scene understanding (68T45)

Related Items

Introducing poset-based connected \(n\)-manifolds and \(\mathcal{P} \)-well-composedness in partially ordered sets ⋮ Homology of cellular structures allowing multi-incidence

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dimensional properties of graphs and digital spaces.
• Topological models for boundary representation: A comparison with \(n\)- dimensional generalized maps
• Representing geometric structures in \(d\) dimensions: Topology and order
• \(n\)D generalized map pyramids: definition, representations and basic operations
• N-DIMENSIONAL GENERALIZED COMBINATORIAL MAPS AND CELLULAR QUASI-MANIFOLDS
• CELLULAR COMPLEXES AS STRUCTURED SEMI-SIMPLICIAL SETS
• Contraction kernels and combinatorial maps
• Split-and-merge algorithms defined on topological maps for 3D image segmentation
• CARTESIAN PRODUCT OF SIMPLICIAL AND CELLULAR STRUCTURES
• Combinatorial Image Analysis
• Discrete Geometry for Computer Imagery
• Discrete Geometry for Computer Imagery
• Derived neighborhoods and frontier orders