The extended persistent homology transform of manifolds with boundary
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Publication:6650254
DOI10.1007/s41468-024-00175-8MaRDI QIDQ6650254
Katharine Turner, James Morgan, Vanessa Robins
Publication date: 6 December 2024
Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)
Persistent homology and applications, topological data analysis (55N31) Topological data analysis (62R40)
Cites Work
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- Extending persistence using Poincaré and Lefschetz duality
- Parametrized homology via zigzag persistence
- Persistent homology and Euler integral transforms
- Morse Theorie für berandete Mannigfaltigkeiten. (Morse theory for bounded manifolds)
- Alexander duality for functions
- Dualities in persistent (co)homology
- Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
- Morse Theory. (AM-51)
- Persistent homology transform for modeling shapes and surfaces
- Induced Matchings of Barcodes and the Algebraic Stability of Persistence
- Decomposition of pointwise finite-dimensional persistence modules
- How Many Directions Determine a Shape and other Sufficiency Results for Two Topological Transforms
- Predicting Clinical Outcomes in Glioblastoma: An Application of Topological and Functional Data Analysis
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