Computing connectedness: disconnectedness and discreteness.

DOI10.1016/S0167-2789(99)00228-6zbMath1098.37546WikidataQ62387644 ScholiaQ62387644MaRDI QIDQ1582062

Elizabeth Bradley, James D. Meiss, Vanessa Robins

Publication date: 2000

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Computational topologyFractal geometryMinimal spanning

Mathematics Subject Classification ID

Dimension theory of smooth dynamical systems (37C45) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (11)

Connectivity calculus of fractal polyhedrons ⋮ Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis ⋮ Topological data analysis for true step detection in periodic piecewise constant signals ⋮ Topology-based signal separation ⋮ Ultrametric Cantor sets and growth of measure ⋮ Iterated function system models in data analysis: Detection and separation ⋮ Reasoning about nonlinear system identification ⋮ \(\varepsilon \)-connectedness, finite approximations, shape theory and coarse graining in hyperspaces ⋮ A sampling theory for compact sets in Euclidean space ⋮ Hamiltonian mappings and circle packing phase spaces: numerical investigations ⋮ Fundamental properties of \(\varepsilon\)-connected sets

Uses Software

• Dynamics
• Chom

Cites Work

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• Winding and Euler numbers for 2D and 3D digital images
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• Graph-Theoretical Methods for Detecting and Describing Gestalt Clusters
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