Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web

DOI10.1007/978-3-642-25249-5_3zbMath1250.85007arXiv1306.3640OpenAlexW2111169612MaRDI QIDQ3223926

Rien van de Weygaert, Bob Eldering, Nico Kruithof, Bernard J. T. Jones, Johan Hidding, Monique Teillaud, Manuel Caroli, Wojciech A. Hellwing, Eline Ten Have, Matti van Engelen, E. G. P. Bos (Patrick), Pratyush Pranav, Changbom Park, Job Feldbrugge, Herbert Edelsbrunner, Gert Vegter

Publication date: 9 March 2012

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3640

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Astrophysical cosmology (85A40)

Related Items (13)

Delaunay triangulations of closed Euclidean \(d\)-orbifolds ⋮ Asymptotic topology of excursion and nodal sets of Gaussian random fields ⋮ A geometrical take on invariants of low-dimensional manifolds found by integration ⋮ Functional summaries of persistence diagrams ⋮ Euler characteristic surfaces ⋮ Homological Shape Analysis Through Discrete Morse Theory ⋮ Computing multiparameter persistent homology through a discrete Morse-based approach ⋮ Statistical Topology and the Random Interstellar Medium ⋮ Robust Topological Inference: Distance To a Measure and Kernel Distance ⋮ Topological signals of singularities in Ricci flow ⋮ Topological pattern recognition for point cloud data ⋮ Modelling persistence diagrams with planar point processes, and revealing topology with bagplots ⋮ Stochastic homology of Gaussian vs. non-Gaussian random fields: graphs towards Betti numbers and persistence diagrams

Uses Software

• DTFE

Cites Work

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• On the definition and the construction of pockets in macromolecules
• Topological persistence and simplification
• The Cosmic Web: Geometric Analysis
• On the shape of a set of points in the plane
• Three-dimensional alpha shapes
• Topology for Computing
• Random Fields and Geometry

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