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Topological Methods in Data Analysis and Visualization II: Theory, Algorithms, and Applications

Topological Methods in Data Analysis and Visualization II: Theory, Algorithms, and Applications
Catalogue Information
Field name Details
Dewey Class 004
Title Topological Methods in Data Analysis and Visualization II (EB) : Theory, Algorithms, and Applications / edited by Ronald Peikert, Helwig Hauser, Hamish Carr, Raphael Fuchs.
Author Peikert, Ronald
Added Personal Name Hauser, Helwig
Carr, Hamish
Fuchs, Raphael
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 2012.
Physical Details XI, 299 pages : 200 illus., 106 illus. in color. : online resource.
Series Mathematics and visualization 1612-3786
ISBN 9783642231759
Summary Note 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 structuresâas found in scalar, vector and tensor fieldsâhave 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 analysisâtheory, algorithms and applications.:
Contents note Part I: Discrete Morse Theory.- Part II: Hierarchical Methods for Extracting and Visualizing Topological Structures -- Part III: Visualization of Dynamical Systems, Vector and Tensor Fields -- Part IV: Topological Visualization of Unsteady Flow.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-642-23175-9
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