Topological methods in data analysis and visualization. II, Theory, algorithms, and applications

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. T...

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Hlavní autor: Peikert, Ronald
Další autoři: Hauser, Helwig (Šéfredaktor, odpovědný redaktor), Carr, Hamish (Šéfredaktor, odpovědný redaktor), Fuchs, Raphael (Šéfredaktor, odpovědný redaktor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Vydání:2012.
Edice:Mathematics and Visualization
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Poznámka: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Topological Methods in Data Analysis and Visualization II, Texte imprimé, 9783642231742
• Topological Methods in Data Analysis and Visualization II, Texte imprimé, 9783642231766
• Topological Methods in Data Analysis and Visualization II, Texte imprimé, 9783662519066
Popis
Shrnutí: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
Popis jednotky:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783642231759
ISSN:2197-666X
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