AN ALGEBRAIC TOPOLOGICAL METHOD FOR FEATURE IDENTIFICATION

DOI10.1142/S021819590600204XzbMath1098.65024OpenAlexW2105165055MaRDI QIDQ5485787

Gunnar Carlsson, Erik Carlsson, Vin De Silva

Publication date: 4 September 2006

Published in: International Journal of Computational Geometry & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021819590600204x

zbMATH Keywords

singularitiesnumerical examplescomputational topologygeometric objecttangent complexpoint-cloud dataalgebraic topological invariantsautomatic feature location

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (11)

Sensitivity analysis of discrete preference functions using Koszul simplicial complexes ⋮ On Vietoris–Rips Complexes (with Scale 3) of Hypercube Graphs ⋮ Hardness results for homology localization ⋮ Geometry-driven collapses for converting a Čech complex into a triangulation of a nicely triangulable shape ⋮ Hopf algebras and Markov chains: two examples and a theory ⋮ Extremal Betti numbers of Vietoris-Rips complexes ⋮ Vietoris-Rips complexes of planar point sets ⋮ Topology and data ⋮ Barcodes: The persistent topology of data ⋮ Unnamed Item ⋮ The theory of the interleaving distance on multidimensional persistence modules

Cites Work

• Unnamed Item
• Shape dimension and approximation from samples
• Computing persistent homology
• Topological persistence and simplification

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