Efficient computation of image persistence

We present an algorithm for computing the barcode of the image of a morphism in persistent homology induced by an inclusion of filtered finite-dimensional chain complexes. The algorithm makes use of the clearing optimization and can be applied to inclusion-induced maps in persistent absolute homolog...

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Bibliographic Details
Main Authors: Bauer, Ulrich (Author) , Schmahl, Maximilian (Author)
Format: Article (Journal)
Language:English
Published: 23 October 2025
In: Discrete & computational geometry
Year: 2025, Volume: 74, Issue: 4, Pages: 999-1019
ISSN:1432-0444
DOI:10.1007/s00454-025-00769-8
Online Access:Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s00454-025-00769-8
Verlag, kostenfrei, Volltext: https://link.springer.com/article/10.1007/s00454-025-00769-8?utm_source=getftr&utm_medium=getftr&utm_campaign=getftr_pilot&getft_integrator=clarivate
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Author Notes:Ulrich Bauer, Maximilian Schmahl
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