Hierarchical and Geometrical Methods in Scientific Visualization

2003
ISBN: 978-3-540-43313-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 367 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1560 g

Reihe: Mathematics and 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.

Zielgruppe

Research

Autoren/Hrsg.

Farin, Gerald

Hagen, Hans

Hamann, Bernd

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Grafikprogrammierung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik EDV | Informatik Informatik
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Software Engineering Objektorientierte Softwareentwicklung
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

Dataflow and Remapping for Wavelet Compression and View-dependent Optimization of Biflion-triangle Isosurfaces.- Extraction of Crack-free Isosurfaces from Adaptive Mesh Refinement Data.- Edgebreaker on a Corner Table: A Simple Technique for Representing and Compressing Triangulated Surfaces.- Efficient Error Calculation for Multiresolution Texture-based Volume Visualization.- Hierarchical Spline Approximations.- Terrain Modeling Using Voronoi Hierarchies.- Multiresolution Representation of Datasets with Material Interfaces.- Approaches to Interactive Visualization of Large-scale Dynamic Astrophysical Environments.- Data Structures for Multiresolution Representation of Unstructured Meshes.- Scaling the Topology of Symmetric, Second-Order Planar Tensor Fields.- Simplification of Nonconvex Tetrahedral Meshes.- A Framework for Visualizing Hierarchical Computations.- Virtual-Reality Based Interactive Exploration of Multiresolution Data.- Hierarchical Indexing for Out-of-Core Access to Multi-Resolution Data.- Mesh Fairing Based on Harmonic Mean Curvature Surfaces.- Shape Feature Extraction.- Network-based Rendering Techniques for Large-scale Volume Data Sets.- A Data Model for Distributed Multiresolution Multisource Scientific Data.- Adaptive Subdivision Schemes for Triangular Meshes.- Hierarchical Image-based and Polygon-based Rendering for Large-Scale Visualizations.- Appendix: Color Plates.