Ebook: Hierarchical and Geometrical Methods in Scientific Visualization

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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Content:
Front Matter....Pages I-VI
Dataflow and Remapping for Wavelet Compression and View-dependent Optimization of Billion-triangle Isosurfaces....Pages 1-17
Extraction of Crack-free Isosurfaces from Adaptive Mesh Refinement Data....Pages 19-40
Edgebreaker on a Corner Table: A Simple Technique for Representing and Compressing Triangulated Surfaces....Pages 41-50
Efficient Error Calculation for Multiresolution Texture-based Volume Visualization....Pages 51-62
Hierarchical Spline Approximations....Pages 63-88
Terrain Modeling Using Voronoi Hierarchies....Pages 89-97
Multiresolution Representation of Datasets with Material Interfaces....Pages 99-117
Approaches to Interactive Visualization of Large-scale Dynamic Astrophysical Environments....Pages 119-142
Data Structures for Multiresolution Representation of Unstructured Meshes....Pages 143-170
Scaling the Topology of Symmetric, Second-Order Planar Tensor Fields....Pages 171-184
Simplification of Nonconvex Tetrahedral Meshes....Pages 185-195
A Framework for Visualizing Hierarchical Computations....Pages 197-204
Virtual-Reality Based Interactive Exploration of Multiresolution Data....Pages 205-224
Hierarchical Indexing for Out-of-Core Access to Multi-Resolution Data....Pages 225-241
Mesh Fairing Based on Harmonic Mean Curvature Surfaces....Pages 243-267
Shape Feature Extraction....Pages 269-281
Network-based Rendering Techniques for Large-scale Volume Data Sets....Pages 283-295
A Data Model for Distributed Multiresolution Multisource Scientific Data....Pages 297-317
Adaptive Subdivision Schemes for Triangular Meshes....Pages 319-327
Hierarchical Image-based and Polygon-based Rendering for Large-Scale Visualizations....Pages 329-346
Back Matter....Pages 347-367

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Content:
Front Matter....Pages I-VI
Dataflow and Remapping for Wavelet Compression and View-dependent Optimization of Billion-triangle Isosurfaces....Pages 1-17
Extraction of Crack-free Isosurfaces from Adaptive Mesh Refinement Data....Pages 19-40
Edgebreaker on a Corner Table: A Simple Technique for Representing and Compressing Triangulated Surfaces....Pages 41-50
Efficient Error Calculation for Multiresolution Texture-based Volume Visualization....Pages 51-62
Hierarchical Spline Approximations....Pages 63-88
Terrain Modeling Using Voronoi Hierarchies....Pages 89-97
Multiresolution Representation of Datasets with Material Interfaces....Pages 99-117
Approaches to Interactive Visualization of Large-scale Dynamic Astrophysical Environments....Pages 119-142
Data Structures for Multiresolution Representation of Unstructured Meshes....Pages 143-170
Scaling the Topology of Symmetric, Second-Order Planar Tensor Fields....Pages 171-184
Simplification of Nonconvex Tetrahedral Meshes....Pages 185-195
A Framework for Visualizing Hierarchical Computations....Pages 197-204
Virtual-Reality Based Interactive Exploration of Multiresolution Data....Pages 205-224
Hierarchical Indexing for Out-of-Core Access to Multi-Resolution Data....Pages 225-241
Mesh Fairing Based on Harmonic Mean Curvature Surfaces....Pages 243-267
Shape Feature Extraction....Pages 269-281
Network-based Rendering Techniques for Large-scale Volume Data Sets....Pages 283-295
A Data Model for Distributed Multiresolution Multisource Scientific Data....Pages 297-317
Adaptive Subdivision Schemes for Triangular Meshes....Pages 319-327
Hierarchical Image-based and Polygon-based Rendering for Large-Scale Visualizations....Pages 329-346
Back Matter....Pages 347-367
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