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-automaticsearch 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 manyof 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. Latest, peer-reviewed results in a growing research area. Topic with closeinteraction of mathematics and computer science. Many applications to scienceand engineering. INDICE: 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.

• ISBN: 978-3-642-23174-2
• Editorial: Springer Berlin Heidelberg
• Encuadernacion: Cartoné
• Páginas: 260
• Fecha Publicación: 30/11/2011
• Nº Volúmenes: 1
• Idioma: Inglés