Hierarchical and Geometrical Methods in Scientific Visualization

Front Cover
Gerald Farin, Bernd Hamann, Hans Hagen
Springer Science & Business Media, Dec 6, 2012 - Mathematics - 367 pages
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.
 

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Contents

Dataflow and Remapping for Wavelet Compression
1
Extraction of Crackfree Isosurfaces
19
Efficient Error Calculation for Multiresolution TexturebasedT
51
Multiresolution Representation of Datasets with Material Interfaces
98
Approaches to Interactive Visualization of Largescale
119
Data Structures for Multiresolution Representation
143
41
169
Scaling the Topology of Symmetric SecondOrder Planar
171
Mesh Fairing Based on Harmonic Mean Curvature Surfaces
243
Georgios Stylianou and Gerald Farin
268
Networkbased Rendering Techniques for Largescale
283
A Data Model for Distributed Multiresolution Multisource
296
89
316
AdaptiveSubdivisionSchemesforTriangularMeshes Ashish Amresh Gerald Farin and Anshuman Razdan
319
99
327
Hierarchical Imagebased and Polygonbased Rendering
328

SimplificationofNonconvexTetrahedralMeshes Martin Kraus and Thomas Ertl
185
VirtualReality Based Interactive Exploration
205
Hierarchical Indexing for OutofCore Access
225
119
337
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