Decomposing Cavities in Digital Volumes into Products of Cycles

DOI10.1007/978-3-642-04397-0_23zbMath1261.68146OpenAlexW1509099316WikidataQ59388630 ScholiaQ59388630MaRDI QIDQ3648790

Ainhoa Berciano, Paweł Pilarczyk, Helena Molina-Abril, A. M. Pacheco, Pedro Real

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_23

zbMATH Keywords

cyclehomologycavitydigital imagecubical homologycell complexcubical setchain homotopyAlexander Whitney diagonalalgebraic gradient vector field

Mathematics Subject Classification ID

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

Related Items

Computation of cubical homology, cohomology, and (co)homological operations via chain contraction

Uses Software

• CAPD

Cites Work

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• An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere
• Homology algorithm based on acyclic subspace
• Rigorous methods for software construction and analysis. Essays dedicated to Egon Börger on the occasion of his 60th birthday
• The computability problem in algebraic topology
• Computational homology
• On the cohomology of 3D digital images
• Graph approach to the computation of the homology of continuous maps
• Homologie singulière des espaces fibrés. Applications
• On the groups \(H(\Pi,n)\). I
• Computing homology groups of simplicial complexes in R ³
• A Fixed Point Approach to Homological Perturbation Theory
• Homology and symmetry breaking in Rayleigh-Bénard convection: Experiments and simulations
• Discrete Geometry for Computer Imagery
• Computer Algebra in Scientific Computing