Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration

• Corporate Author: SpringerLink (Online service)
• Other Authors: Ml̲ler, Torsten. (Editor), Hamann, Bernd. (Editor), Russell, Robert D. (Editor)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Mathematics and Visualization,
• Subjects: Mathematics.; Computer science.; Computer graphics.; Computer science > Mathematics.; Computational Mathematics and Numerical Analysis.; Computer Graphics.; Mathematics of Computing.; Computational Science and Engineering.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/b106657

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...

Table of 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 David C. 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
• 9. Flow Visualization via Partial Differential Equations T. Preusser, M. Rumpf, and A. Telea
• 10. Iterative Twofold Line Integral Convolution for Texture-Based Vector Field Visualization Daniel Weiskopf
• 11. Constructing 3D Elliptical Gaussians for Irregularly Gridded Data Wei Hong, Neophytos Neophytou, Klaus Mueller and Arie Kaufman
• 12. From Sphere Packing to the Theory of Optimal Lattice Sampling Alireza Entezari, Ramsay Dyer, and Torsten Ml̲ler
• 13. Reducing Interpolation Artifacts by Globally Fairing Contours Martin Bertram and Hans Hagen
• 14. Time- and Space-efficient Error Calculation for Multiresolution Direct Volume Rendering Attila Gyulassy, Lars Linsen, and Bernd Hamann
• 15. Massive Data Visualization: A Survey Kenneth I. Joy
• 16. Compression and Occlusion Culling for Fast Isosurface Extraction from Massive Datasets Benjamin Gregorski, Joshua Senecal, Mark Duchaineau, and Kenneth I. Joy
• 17. Volume Visualization of Multiple Alignment of Large Genomic DNA Nameeta Shah, Scott E. Dillard, Gunther H. Weber, Bernd Hamann
• 18. Model-based Visualization - Computing Perceptually Optimal Visualizations J.J. van Wijk.