scientific article; zbMATH DE number 7559246

DOI10.4230/LIPIcs.SoCG.2019.46MaRDI QIDQ5088978

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Publication date: 18 July 2022

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zbMATH Keywords

line arrangementstopological data analysismulti-parameter persistence

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (4)

Geometry of the matching distance for 2D filtering functions ⋮ On the geometrical properties of the coherent matching distance in 2D persistent homology ⋮ Generalized persistence algorithm for decomposing multiparameter persistence modules ⋮ Compression for \(2\)-parameter persistent homology

Cites Work

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• The theory of multidimensional persistence
• The rank invariant stability via interleavings
• Computing persistent homology
• Computing the interleaving distance is NP-hard
• The representation theorem of persistence revisited and generalized
• The theory of the interleaving distance on multidimensional persistence modules
• Betti numbers in multidimensional persistent homology are stable functions
• Algorithms for Reporting and Counting Geometric Intersections
• Geometry Helps to Compare Persistence Diagrams
• Decomposition of pointwise finite-dimensional persistence modules
• Zigzag persistent homology in matrix multiplication time
• Geometry helps in bottleneck matching and related problems

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