The Coherent Matching Distance in 2D Persistent Homology

DOI10.1007/978-3-319-39441-1_20zbMath1339.68259arXiv1603.03886OpenAlexW2301278947MaRDI QIDQ2815198

Andrea Cerri, Patrizio Frosini, Marc Ethier

Publication date: 27 June 2016

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

Full work available at URL: https://arxiv.org/abs/1603.03886

zbMATH Keywords

monodromymultidimensional matching distancemultidimensional persistent Betti numbers

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Other homology theories in algebraic topology (55N35)

Related Items (3)

On the geometrical properties of the coherent matching distance in 2D persistent homology ⋮ A brief introduction to multidimensional persistent Betti numbers ⋮ Morse-based fibering of the persistence rank invariant

Cites Work

• Stability of persistence diagrams
• Natural pseudo-distance and optimal matching between reduced size functions
• The theory of multidimensional persistence
• Topological persistence and simplification
• The theory of the interleaving distance on multidimensional persistence modules
• Betti numbers in multidimensional persistent homology are stable functions
• Computing multidimensional persistence
• One-dimensional reduction of multidimensional persistent homology
• A Study of Monodromy in the Computation of Multidimensional Persistence
• Size functions and formal series

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