Mathematical foundations of scientific visualization, computer graphics, and massive data exploratio

Visualization is one of the most active and exciting areas of Mathematics andComputing Science, and indeed one which is only beginning to mature. Current visualization algorithms break down for very large data sets. While present approaches use multi-resolution ideas, future data sizes will not be handled that way. New algorithms based on sophisticated mathematical modeling techniques must be devised which will permit the extraction of high-level topological structures that can be visualized. For these reasons a workshop was organized at the Banff International Research Station, focused specifically on mathematicalissues. A primary objective of the workshop was to gather together a diverse set of researchers in the mathematical areas relevant to the recent advances in order to discuss the research challenges facing this field in the next several years. Cutting-edge research in a fast-moving cross-disciplinary field touching visualization, computer graphics, and CSE INDICE: From the contents 1. Maximizing Adaptivity in Hierarchical Topological Models Using Cancellation Trees Peer-Timo Bremer, Valerio Pascucci, and Bernd Hamann.- 2. The TOPORRERY: computation and presentation of multi-resolution topology Valerio Pascucci, Kree Cole-McLaughlin, and Giorgio Scorzelli.- 3.Isocontour based Visualization of Time-varying Scalar Fields Ajith Mascarenhas, and Jack Snoeyink.- 4. DeBruijn Counting for Visualization Algorithms DavidC. Banks and Paul K. Stockmeyer.- 5. Topological Methods for Visualizing Vortical Flows Xavier Tricoche and Christoph Garth.- 6. Stability and Computation of Medial Axes - a State-of-the-Art Report Dominique Attali, Jean-Daniel Boissonnat, and Herbert Edelsbrunner.- 7. Local Geodesic Parametrization: An Ant's Perspective Lior Shapira and Ariel Shamir.- 8. Tensor-fields Visualization using a Fabric like Texture to Arbitrary two-dimensional Surfaces Ingrid Hotz, Louis Feng, Bernd Hamann, and Kenneth Joy.

• ISBN: 978-3-540-25076-0
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 370
• Fecha Publicación: 01/03/2009
• Nº Volúmenes: 1
• Idioma: Inglés