The persistent homology of dual digital image constructions

DOI10.1007/978-3-030-95519-9_1OpenAlexW3132195978MaRDI QIDQ2080082

Vanessa Robins, Kelly Maggs, Adélie Garin, Teresa Heiss, Beatrice Bleile

Publication date: 7 October 2022

Full work available at URL: https://arxiv.org/abs/2102.11397

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Uses Software

• Topology ToolKit

Cites Work

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• An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere
• Deformation techniques for sparse systems
• Computational homology
• Computing persistent homology
• Topological persistence and simplification
• Homological algebra for persistence modules
• Tri-partitions and bases of an ordered complex
• Dualities in persistent (co)homology
• The Structure and Stability of Persistence Modules

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