Homology Computation During an Incremental Construction Process

DOI10.1007/978-3-319-39441-1_2zbMath1339.68286OpenAlexW2483190149MaRDI QIDQ2815185

Samuel Peltier, Pascal Lienhardt

Publication date: 27 June 2016

Published in: Computational Topology in Image Context (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-39441-1_2

zbMATH Keywords

homologyincremental computationsimplicial and cellular combinatorial structures

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Simplicial sets and complexes in algebraic topology (55U10) Combinatorial aspects of simplicial complexes (05E45)

Uses Software

• Kenzo

Cites Work

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• Coreduction homology algorithm for regular CW-complexes
• Chain homotopies for object topological representations
• Simploidals sets: Definitions, operations and comparison with simplicial sets
• Homology of cellular structures allowing multi-incidence
• Combinatorial Maps
• Combinatorial cell complexes and Poincaré duality

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