TY - BOOK AU - Moller,Torsten AU - Hamann,Bernd AU - Russell,Robert D. TI - Mathematical foundations of scientific visualization, computer graphics, and massive data exploration T2 - Mathematics and visualization SN - 9783540250760 U1 - 006.60151 PY - 2009/// CY - Berlin PB - Springer KW - Computer and information systems KW - Electronic data processing - Mathematical models - Congresses KW - Computer algorithms - Congresses KW - Information visualization - Mathematical models - Congresses KW - Computer graphics - Mathematical models - Congresses N1 - Contains papers from a workshop held at the Banff International Research Station, Banff Centre, Canada, from May 22 to May 27, 2004; Includes bibliographical references N2 - Visualization is one of the most active and exciting areas of Mathematics and Computing 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 mathematical issues. 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 ER -