Mathematical Visualization : Algorithms, Applications, and Numerics

Algorithms, Applications, and Numerics

By: Hege, K. Polthier (Editor), H. C. Hege (Editor)

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Hardcover | 1 February 2002

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418 Pages

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23.5 x 15.88 x 1.91

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Mathematical Visualization is a young new discipline. It offers efficient visualization tools to the classical subjects of mathematics, and applies mathematical techniques to problems in computer graphics and scientific visualization. Originally, it started in the interdisciplinary area of differential geometry, numerical mathematics, and computer graphics. In recent years, the methods developed have found important applications.
The current volume is the quintessence of an international workshop in September 1997 in Berlin, focusing on recent developments in this emerging area. Experts present selected research work on new algorithms for visualization problems, describe the application and experiments in geometry, and develop new numerical or computer graphical techniques.

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Preface
List of Contributors
Meshes, Multilevel Approximation, and Visualization
Tetrahedra Based Volume Visualization	p. 3
Mesh Optimization and Multilevel Finite Element Approximations	p. 19
Efficient Visualization of Data on Sparse Grids	p. 31
A Meta Scheme for Iterative Refinement of Meshes	p. 45
A Scheme for Edge-based Adaptive Tetrahedron Subdivision	p. 61
Geometry and Numerics
Finite Element Approximations and the Dirichlet Problem for Surfaces of Prescribed Mean Curvature	p. 73
Efficient Volume-Generation During the Simulation of NC-Milling	p. 89
Constant Mean Curvature Surfaces with Cylindrical Ends	p. 107
Discrete Rotational CMC Surfaces and the Elliptic Billiard	p. 117
Zonotope Dynamics in Numerical Quality Control	p. 125
Straightest Geodesics on Polyhedral Surfaces	p. 135
Graphics Algorithms and Implementations
Support of Explicit Time and Event Flows in the Object-Oriented Visualization Toolkit MAM/VRS	p. 153
A Survey of Parallel Coordinates	p. 167
Hierarchical Techniques for Global Illumination Computations - Recent Trends and Developments	p. 181
Two-Dimensional Image Rotation	p. 195
An Object-Oriented Interactive System for Scientific Simulations: Design and Applications	p. 207
Geometric Visualization Techniques
Auditory Morse Analysis of Triangulated Manifolds	p. 223
Computing Sphere Eversions	p. 237
Morse Theory for Implicit Surface Modeling	p. 257
Special Relativity in Virtual Reality	p. 269
Exploring Low Dimensional Objects in High Dimensional Spaces	p. 281
Vector Fields and Flow Visualization
Fast LIC with Piecewise Polynomial Filter Kernels	p. 295
Visualizing Poincare Maps together with the Underlying Flow	p. 315
Accuracy in 3D Particle Tracing	p. 329
Clifford Algebra in Vector Field Visualization	p. 343
Visualization of Complex ODE Solutions	p. 353
Appendix: Color Plates	p. 363
Table of Contents provided by Blackwell. All Rights Reserved.

Mathematical Visualization : Algorithms, Applications, and Numerics

Algorithms, Applications, and Numerics

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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