CARTESIAN PRODUCT OF SIMPLICIAL AND CELLULAR STRUCTURES

DOI10.1142/S0218195904001408zbMath1088.68174MaRDI QIDQ4652926

Xavier Skapin, A. Bergey, Pascal Lienhardt

Publication date: 28 February 2005

Published in: International Journal of Computational Geometry & Applications (Search for Journal in Brave)

zbMATH Keywords

simplicial setscartesian productgeneralized mapscombinatorial mapssemi-simplicial sets4D geometric modeling for animationchains of mapsTopology-based geometric modeling

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)

Related Items (4)

Simploidal sets: a data structure for handling simploidal Bézier spaces ⋮ Simploidals sets: Definitions, operations and comparison with simplicial sets ⋮ Equivalence between closed connected \(n\)-\(G\)-maps without multi-incidence and \(n\)-surfaces ⋮ Homology of cellular structures allowing multi-incidence

Cites Work

• Merging in maps and in pavings
• Combinatorial maps
• Representing geometric structures in \(d\) dimensions: Topology and order
• Semi-simplicial complexes and singular homology
• On the realizability of homotopy groups and their operations
• Homologie singulière des espaces fibrés. Applications
• Primitives for the manipulation of general subdivisions and the computation of Voronoi
• CELLULAR COMPLEXES AS STRUCTURED SEMI-SIMPLICIAL SETS
• DIMENSION-INDEPENDENT CONVEX-CELL BASED HPC SKELETONS AND PRODUCT
• Dimension-independent modeling with simplicial complexes

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