Using Contour Trees in the Analysis and Visualization of Radio Astronomy Data Cubes

DOI10.1007/978-3-030-83500-2_6OpenAlexW2613617574MaRDI QIDQ5861921

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Publication date: 3 March 2022

Published in: Mathematics and Visualization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04561

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Computer science (68-XX) Computational aspects of data analysis and big data (68T09) Computational aspects of digital topology (68U03) Computational methods for problems pertaining to algebraic topology (55-08)

Cites Work

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• Simple and optimal output-sensitive construction of contour trees using monotone paths
• Flexible isosurfaces: Simplifying and displaying scalar topology using the contour tree
• Stability of persistence diagrams
• Extending persistence using Poincaré and Lefschetz duality
• Topological persistence and simplification
• Computing contour trees in all dimensions
• Geodesically Complete Hyperbolic Structures
• Distributed Contour Trees
• The TOPORRERY: computation and presentation of multi-resolution topology

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