Mathematics and Visualization

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

Editors: Möller, Torsten, Hamann, Bernd, Russell, Robert D. (Eds.)

  • Cutting-edge research in a fast-moving cross-disciplinary field touching visualization, computer graphics, and CSE

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eBook $129.00
price for USA (gross)
  • ISBN 978-3-540-49926-8
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  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-540-25076-0
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  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
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  • ISBN 978-3-642-06414-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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. 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.

Table of contents (18 chapters)

  • Maximizing Adaptivity in Hierarchical Topological Models Using Cancellation Trees

    Bremer, Peer-Timo (et al.)

    Pages 1-18

  • The TOPORRERY: computation and presentation of multi-resolution topology

    Pascucci, Valerio (et al.)

    Pages 19-40

  • Isocontour based Visualization of Time-varying Scalar Fields

    Mascarenhas, Ajith (et al.)

    Pages 41-68

  • DeBruijn Counting for Visualization Algorithms

    Banks, David C. (et al.)

    Pages 69-88

  • Topological Methods for Visualizing Vortical Flows

    Tricoche, Xavier (et al.)

    Pages 89-107

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-540-49926-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-540-25076-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-3-642-06414-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration
Editors
  • Torsten Möller
  • Bernd Hamann
  • Robert D. Russell
Series Title
Mathematics and Visualization
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-49926-8
DOI
10.1007/b106657
Hardcover ISBN
978-3-540-25076-0
Softcover ISBN
978-3-642-06414-2
Series ISSN
1612-3786
Edition Number
1
Number of Pages
X, 350
Number of Illustrations and Tables
49 b/w illustrations, 134 illustrations in colour
Topics