Persistent 1-cycles: definition, computation, and its application

DOI10.1007/978-3-030-10828-1_10zbMath1524.68393arXiv1810.04807OpenAlexW2897738333MaRDI QIDQ6085966

Tamal Krishna Dey, Sayan Mandal, Tao Hou

Publication date: 9 November 2023

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

Full work available at URL: https://arxiv.org/abs/1810.04807

zbMATH Keywords

image segmentationNP-hardnesspersistent homologyminimal cyclepersistent cycle

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Computing methodologies for image processing (68U10) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17) Computational aspects of digital topology (68U03)

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Stable volumes for persistent homology ⋮ Fast computation of persistent homology representatives with involuted persistent homology

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