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Topological Methods in Data Analysis and Visualization II

by Peikert, Ronald.
Authors: Hauser, Helwig.%editor. | Carr, Hamish.%editor. | Fuchs, Raphael.%editor. | SpringerLink (Online service) Series: Mathematics and Visualization, 1612-3786 Physical details: XI, 299p. 200 illus., 106 illus. in color. online resource. ISBN: 3642231756 Subject(s): Mathematics. | Electronic data processing. | Computer graphics. | Algorithms. | Visualization. | Mathematics. | Visualization. | Algorithms. | Computing Methodologies. | Computer Graphics.
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E-Book E-Book AUM Main Library 004 (Browse Shelf) Not for loan

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.

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.

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