Topological Methods in Data Analysis and Visualization

Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. . The editors have brought together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. This book contains the best 20 peer-reviewed papers resulting from the discussions and presentations at the third workshop on "e;Topological Methods in Data Analysis and Visualization"e;, held 2009 in Snowbird, Utah, US. The 2009 "e;TopoInVis"e; workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).