Topological methods in data analysis and visualization II: theory, algorithms, and applications

by Peikert, Ronald

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Title Statements

Full title :Topological methods in data analysis and visualization II : theory, algorithms, and applications / Ronald Peikert ... [et al.], editors.

Summary

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.

Edition Statements

Publication Date:©2012.

Publication Statements

Publisher(s):Springer-Verlag Berlin Heidelberg
Place of Publication:Heidelberg
Language:eng
Publication Date:©2012.

Notes

Titre de l'écran-titre (visionné le 2 avril 2012).

The Physical Object

Description:1 online resource (1 texte électronique (xi, 299 p.)) : : illustrations (certaines en coul.), fichiers PDF

Edition Identifiers

ISBN:3642231748, 3642231756, 9783642231742, 9783642231759
oclc:ocn828889971
LC Classification:QA611.A1
Dewey Decimal:515/.13

pt. 1. Discrete Morse theory -- pt. 2. Hierarchical methods for extracting and visualizing topological structures -- pt. 3. Visualization of dynamical systems, vector and tensor fields -- pt. 4. Topological visualization of unsteady flow.