Multivariate topology simplification

DOI10.1016/j.comgeo.2016.05.006zbMath1367.65027arXiv1509.04465OpenAlexW1823996076WikidataQ57948982 ScholiaQ57948982MaRDI QIDQ340525

Mohammad Hasan, M. Dambrine

Publication date: 14 November 2016

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04465

zbMATH Keywords

simplificationJacobi setJacobi structuremulti-dimensional Reeb graphmultivariate topologyReeb skeletonReeb space

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (3)

Structure and stability of the one-dimensional Mapper ⋮ The Approximation of Pareto Sets Using Directed Joint Contour Nets ⋮ Topological Feature Search in Time-Varying Multifield Data

Uses Software

• OGDF

Cites Work

• The edit distance for Reeb graphs of surfaces
• Categorified Reeb graphs
• Flexible isosurfaces: Simplifying and displaying scalar topology using the contour tree
• Stability of persistence diagrams
• The theory of multidimensional persistence
• Classifying immersions into \({\mathbb{R}}^ 4\) over stable maps of 3- manifolds into \({\mathbb{R}}^ 2\)
• Topological persistence and simplification
• Computing contour trees in all dimensions
• Topology of singular fibers of differentiable maps
• Local, smooth, and consistent Jacobi set simplification
• Singular fibers of stable maps of 3-manifolds with boundary into surfaces and their applications
• Visualizing Multivariate Data Using Singularity Theory
• Reeb spaces of piecewise linear mappings
• Polyhedrons and pi-stable homotopies from 3-manifolds into the plane
• Efficiency of a Good But Not Linear Set Union Algorithm
• Time-varying reeb graphs for continuous space-time data
• Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs
• Profinite Groups
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