Measuring shape with topology

DOI10.1063/1.4737391zbMath1278.82073arXiv1011.2258OpenAlexW2963192955WikidataQ59442815 ScholiaQ59442815MaRDI QIDQ2865549

Benjamin Schweinhart, Robert MacPherson

Publication date: 29 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2258

zbMATH Keywords

polymersself-avoiding random walksBrownian trees

Mathematics Subject Classification ID

Related Items (11)

Persistent Homology: A Topological Tool for Higher-Interaction Systems ⋮ Metric Reconstruction Via Optimal Transport ⋮ A Fractal Dimension for Measures via Persistent Homology ⋮ Fractal dimension estimation with persistent homology: a comparative study ⋮ Topological data analysis for true step detection in periodic piecewise constant signals ⋮ Persistent homology and the upper box dimension ⋮ Topological data analysis and cosheaves ⋮ A topological analysis of targeted In-111 uptake in SPECT images of murine tumors ⋮ Persistence intervals of fractals ⋮ The Accumulated Persistence Function, a New Useful Functional Summary Statistic for Topological Data Analysis, With a View to Brain Artery Trees and Spatial Point Process Applications ⋮ Fractal dimension and the persistent homology of random geometric complexes

Cites Work

• Branched polymers and dimensional reduction
• A faster implementation of the pivot algorithm for self-avoiding walks
• Computing persistent homology
• The union of balls and its dual shape
• Branched Polymers
• On the shape of a set of points in the plane
• Three-dimensional alpha shapes

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