Topological Methods in Data Analysis and Visualization II

Theory, Algorithms, and Applications

Ronald Peikert, Helwig Hauser, Hamish Carr, Raphael Fuchs (Herausgeber)

Buch | Softcover

XI, 299 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2012
Springer Berlin (Verlag)
978-3-662-51906-6 (ISBN)

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This group of peer-reviewed papers from the fourth TopoInVis workshop held in 2011 includes state-of-the-art research and hot topics such as the search for topological structures in time-dependent flows, and their relations to Lagrangian coherent structures.

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.

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.

Erscheint lt. Verlag	23.8.2016
Reihe/Serie	Mathematics and Visualization
Zusatzinfo	XI, 299 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	569 g
Themenwelt	Informatik ► Software Entwicklung ► User Interfaces (HCI)
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Data Analysis • Geometry • Topology • Visualization
ISBN-10	3-662-51906-2 / 3662519062
ISBN-13	978-3-662-51906-6 / 9783662519066
Zustand	Neuware