Mathematics and Visualization

Hierarchical and Geometrical Methods in Scientific Visualization

Editors: Farin, Gerald, Hamann, Bernd, Hagen, Hans (Eds.)

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About this book

The nature of the physical Universe has been increasingly better understood in recent years, and cosmological concepts have undergone a rapid evolution (see, e.g., [11], [2],or [5]). Although there are alternate theories, it is generally believed that the large-scale relationships and homogeneities that we see can only be explainedby having the universe expand suddenlyin a very early “in?ationary” period. Subsequent evolution of the Universe is described by the Hubble expansion, the observation that the galaxies are ?ying away from each other. We can attribute di?erent rates of this expansion to domination of di?erent cosmological processes, beginning with radiation, evolving to matter domination, and, relatively recently, to vacuum domination (the Cosmological Constant term)[4]. We assume throughout that we will be relying as much as possible on observational data, with simulations used only for limited purposes, e.g., the appearance of the Milky Wayfrom nearbyintergalactic viewpoints. The visualization of large-scale astronomical data sets using?xed, non-interactive animations has a long history. Several books and ?lms exist, ranging from “Cosmic View: The Universe in Forty Jumps” [3] by Kees Boeke to “Powers of 10” [6,13] by Charles and Ray Eames, and the recent Imax ?lm “Cosmic Voyage” [15]. We have added our own contribution [9], “Cosmic Clock,” which is an animation based entirely on the concepts and implementation described in this paper.

Reviews

From the reviews:

"This work … introduce the first end-to-end multiresolution dataflow strategy that can effectively combine the top performing subdivision-surface wavelet compression and view-dependent optimization methods, thus increasing efficiency by several orders of magnitude over conventional processing pipelines. … Overall, this is the first effort to exploit semi-structured surface representations for a complete large-data visualization pipeline." (Wordtrade, July, 2008)


Table of contents (20 chapters)

  • Dataflow and Remapping for Wavelet Compression and View-dependent Optimization of Billion-triangle Isosurfaces

    Duchaineau, Mark A. (et al.)

    Pages 1-17

  • Extraction of Crack-free Isosurfaces from Adaptive Mesh Refinement Data

    Weber, Gunther H. (et al.)

    Pages 19-40

  • Edgebreaker on a Corner Table: A Simple Technique for Representing and Compressing Triangulated Surfaces

    Rossignac, Jarek (et al.)

    Pages 41-50

  • Efficient Error Calculation for Multiresolution Texture-based Volume Visualization

    LaMar, Eric (et al.)

    Pages 51-62

  • Hierarchical Spline Approximations

    Wiley, David F. (et al.)

    Pages 63-88

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-642-55787-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $239.00
price for USA
  • ISBN 978-3-540-43313-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-3-642-62801-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Hierarchical and Geometrical Methods in Scientific Visualization
Editors
  • Gerald Farin
  • Bernd Hamann
  • Hans Hagen
Series Title
Mathematics and Visualization
Copyright
2003
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-55787-3
DOI
10.1007/978-3-642-55787-3
Hardcover ISBN
978-3-540-43313-2
Softcover ISBN
978-3-642-62801-6
Series ISSN
1612-3786
Edition Number
1
Number of Pages
VI, 367
Topics