Relation between total variation and persistence distance and its application in signal processing

DOI10.1007/s10444-015-9438-8zbMath1371.94527OpenAlexW2282197664MaRDI QIDQ295382

Yi Zheng, Gerlind Plonka-Hoch

Publication date: 13 June 2016

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-015-9438-8

zbMATH Keywords

discrete total variationpersistence distancepersistence homologypersistence pairs

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General geometric structures on low-dimensional manifolds (57M50) Spline approximation (41A15) Discrete approximations in optimal control (49M25)

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