Gradient vector fields of discrete Morse functions and watershed-cuts

DOI10.1007/978-3-031-19897-7_4arXiv2203.11512MaRDI QIDQ6160786

Nicolas Boutry, Laurent Najman, Gilles Bertrand

Publication date: 2 June 2023

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.11512

zbMATH Keywords

mathematical morphologytopological data analysisdiscrete Morse theoryminimum spanning forestsimplicial stacks

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Computing methodologies for image processing (68U10) Computational aspects of digital topology (68U03) Discrete Morse theory and related ideas in manifold topology (57Q70)

Related Items (1)

Discrete Morse functions and watersheds

Cites Work

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• Topological data analysis for scientific visualization
• An equivalence relation between morphological dynamics and persistent homology in \(n\)-D
• An equivalence relation between morphological dynamics and persistent homology in 1D
• Collapses and watersheds in pseudomanifolds of arbitrary dimension
• Some equivalence relation between persistent homology and morphological dynamics
• Collapses and Watersheds in Pseudomanifolds
• Discrete Morse Theory
• Morse-smale complexes for piecewise linear 3-manifolds

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