Description 
1 online resource (x, 350 pages) : illustrations (chiefly color) 
Series 
Mathematics and visualization, 16123786 

Mathematics and visualization.


Mathematics and visualization. 16123786

Contents 
Cover  Contents  Maximizing Adaptivity in Hierarchical Topological Models Using Cancellation Trees  The Toporrery: Computation and Presentation of Multiresolution Topology  Isocontour Based Visualization of TimeVarying Scalar Fields  DeBruijn Counting for Visualization Algorithms  Topological Methods for Visualizing Vortical Flows  Stability and Computation of Medial Axes: A StateoftheArt Report  Local Geodesic Parametrization: An Ant8217;s Perspective  TensorFields Visualization Using a Fabriclike Texture Applied to Arbitrary Twodimensional Surfaces  Flow Visualization via Partial Differential Equations  Iterative Twofold Line Integral Convolution for TextureBased Vector Field Visualization  Constructing 3D Elliptical Gaussians for Irregular Data  From Sphere Packing to the Theory of Optimal Lattice Sampling  Reducing Interpolation Artifacts by Globally Fairing Contours  Time and SpaceEfficient Error Calculation for Multiresolution Direct Volume Rendering  Massive Data Visualization: A Survey  Compression and Occlusion Culling for Fast Isosurface Extraction from Massive Datasets  Volume Visualization of Multiple Alignment of Large Genomic DNA  ModelBased Visualization: Computing Perceptually Optimal Visualizations 
Summary 
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 multiresolution 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 highlevel 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. The workshop was organized into five different thrusts:  Topology and Discrete Methods  Signal and Geometry Processing  Partial Differential Equations  Data Approximation Techniques  Massive Data Applications This book presents a summary of the research ideas presented at this workshop 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
Electronic data processing  Mathematical models  Congresses.


Computer algorithms  Congresses.


Information visualization  Mathematical models  Congresses.


Computer graphics  Mathematical models  Congresses.

Genre/Form 
Conference papers and proceedings.


Conference papers and proceedings.

Form 
Electronic book

Author 
Möller, Torsten, 1969


Hamann, Bernd.


Russell, R. D. (Robert D.), 1945


Banff International Research Station for Mathematics Innovation & Discovery.

LC no. 
2008944010 
ISBN 
1282333232 

3540499261 

9781282333239 

9783540499268 
