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Topological Methods in Data Analysis and Visualization II - Theory, Algorithms, and Applications (Paperback, Softcover reprint of the original 1st ed. 2012)
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Topological Methods in Data Analysis and Visualization II - Theory, Algorithms, and Applications (Paperback, Softcover reprint of the original 1st ed. 2012)
Series: Mathematics and Visualization
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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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