By Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs
ISBN-10: 3642231748
ISBN-13: 9783642231742
ISBN-10: 3662519062
ISBN-13: 9783662519066
When scientists research datasets in a look for underlying phenomena, styles or causal elements, their first step is frequently an automated or semi-automatic look for constructions within the information. of those feature-extraction tools, topological ones stand out as a result of their strong mathematical starting place. Topologically outlined structures—as present in scalar, vector and tensor fields—have confirmed their benefit in quite a lot of medical domain names, and scientists have discovered them to be revealing in topics reminiscent of physics, engineering, and medicine.
Full of cutting-edge study and modern scorching issues within the topic, this quantity is a variety of peer-reviewed papers initially offered on the fourth Workshop on Topology-Based equipment in information research and Visualization, TopoInVis 2011, held in Zurich, Switzerland. The workshop introduced jointly a number of the major lighting within the box for a mix of formal shows and dialogue. One subject presently producing loads of curiosity, and explored in different chapters right here, is the quest for topological constructions in time-dependent flows, and their dating with Lagrangian coherent constructions. individuals additionally specialize in discrete topologies of scalar and vector fields, and on persistence-based simplification, between different problems with notice. the hot learn effects incorporated during this quantity relate to all 3 key parts in facts analysis—theory, algorithms and applications.
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Topological Methods in Data Analysis and Visualization II: Theory, Algorithms, and Applications (Mathematics and Visualization) by Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs
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