Overview
- Latest, peer-reviewed results in a growing research area
- Topic with close interaction of mathematics and computer science
- Many applications to science and engineering
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematics and Visualization (MATHVISUAL)
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Table of contents (19 chapters)
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Computational discrete morse theory
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Hierarchical methods
Keywords
About this book
When scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-automatic search for structures in the data. Of these feature-extraction methods, topological ones stand out due to their solid mathematical foundation. Topologically defined structures—as found in scalar, vector and tensor fields—have proven their merit in a wide range of scientific domains, and scientists have found them to be revealing in subjects such as physics, engineering, and medicine.
Full of state-of-the-art research and contemporary hot topics in the subject, this volume is a selection of peer-reviewed papers originally presented at the fourth Workshop on Topology-Based Methods in Data Analysis and Visualization, TopoInVis 2011, held in Zurich, Switzerland. The workshop brought together many of the leading lights in the field for a mixture of formal presentations and discussion. One topic currently generating a great deal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangian coherent structures. Contributors also focus on discrete topologies of scalar and vector fields, and on persistence-based simplification, among other issues of note. The new research results included in this volume relate to all three key areas in data analysis—theory, algorithms and applications.
Editors and Affiliations
Bibliographic Information
Book Title: Topological Methods in Data Analysis and Visualization II
Book Subtitle: Theory, Algorithms, and Applications
Editors: Ronald Peikert, Helwig Hauser, Hamish Carr, Raphael Fuchs
Series Title: Mathematics and Visualization
DOI: https://doi.org/10.1007/978-3-642-23175-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2012
Hardcover ISBN: 978-3-642-23174-2Published: 25 January 2012
Softcover ISBN: 978-3-662-51906-6Published: 23 August 2016
eBook ISBN: 978-3-642-23175-9Published: 10 January 2012
Series ISSN: 1612-3786
Series E-ISSN: 2197-666X
Edition Number: 1
Number of Pages: XI, 299
Topics: Visualization, Algorithms, Artificial Intelligence, Computer Graphics