Hierarchical and Geometrical Methods in Scientific Visualization

Front Cover
Springer Science & Business Media, 2003 - Computers - 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 and Viewdependent Optimization of Billiontriangle Isosurfaces
1
Extraction of Crackfree Isosurfaces from Adaptive Mesh Refinement Data
19
A Simple Technique for Representing and Compressing Triangulated Surfaces
41
Efficient Error Calculation for Multiresolution Texturebased Volume Visualization
51
Hierarchical Spline Approximations
63
Terrain Modeling Using Voronoi Hierarchies
89
Multiresolution Representation of Datasets with Material Interfaces
99
Approaches to Interactive Visualization of Largescale Dynamic Astrophysical Environments
119
A Framework for Visualizing Hierarchical Computations
197
VirtualReality Based Interactive Exploration of Multiresolution Data
205
Hierarchical Indexing for OutofCore Access to MultiResolution Data
225
Mesh Fairing Based on Harmonic Mean Curvature Surfaces
243
Shape Feature Extraction
269
Networkbased Rendering Techniques for Largescale Volume Data Sets
283
A Data Model for Distributed Multiresolution Multisource Scientific Data
297
Adaptive Subdivision Schemes for Triangular Meshes
319

Data Structures for Multiresolution Representation of Unstructured Meshes
143
Scaling the Topology of Symmetric SecondOrder Planar Tensor Fields
171
Simplification of Nonconvex Tetrahedral Meshes
185
Hierarchical Imagebased and Polygonbased Rendering for LargeScale Visualizations
329
Color Plates
347
Copyright

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