K. Polthier: Mathematical Visualization

Cover: 9783540639916 | Mathematical Visualization | Algorithms, Applications and Numerics

Rückseite: 9783540639916 | Mathematical Visualization | Algorithms, Applications and Numerics

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Book on second International Workshop on Visualization and Mathematics; as volume on first workshop rather interdisciplinary

Extensively illustrated with high-quality colour graphics

Book presents most recent visualization methods by the world's top experts, becoming more and more important in many branches of pure and applied mathematics

Inhaltsverzeichnis

Tetrahedra Based Volume Visualization.- Mesh Optimization and Multilevel Finite Element Approximations.- Efficient Visualization of Data on Sparse Grids.- A Meta Scheme for Iterative Refinement of Meshes.- A Scheme for Edge-based Adaptive Tetrahedron Subdivision.- Finite Element Approximations and the Dirichlet Problem for Surfaces of Prescribed Mean Curvature.- Efficient Volume-Generation During the Simulation of NC-Milling.- Constant Mean Curvature Surfaces with Cylindrical Ends.- Discrete Rotational CMC Surfaces and the Elliptic Billiard.- Zonotope Dynamics in Numerical Quality Control.- Straightest Geodesics on Polyhedral Surfaces.- Support of Explicit Time and Event Flows in the Object-Oriented Visualization Toolkit MAM/VRS.- A Survey of Parallel Coordinates.- Hierarchical Techniques for Global Illumination Computations - Recent Trends and Developments.- Two-Dimensional Image Rotation.- An Object-Oriented Interactive System for Scientific Simulations: Design and Applications.- Auditory Morse Analysis of Triangulated Manifolds.- Computing Sphere Eversions.- Morse Theory for Implicit Surface Modeling.- Special Relativity in Virtual Reality.- Exploring Low Dimensional Objects in High Dimensional Spaces.- Fast LIC with Piecewise Polynomial Filter Kernels.- Visualizing Poincaré Maps together with the Underlying Flow.- Accuracy in 3D Particle Tracing.- Clifford Algebra in Vector Field Visualization.- Visualization of Complex ODE Solutions.- Appendix: Color Plates.

Details

Erscheinungsjahr:	1998
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xx 393 S. 147 s/w Illustr. 45 farbige Illustr. 393 p. 192 illus. 45 illus. in color.
ISBN-13:	9783540639916
ISBN-10:	3540639918
Sprache:	Englisch
Einband:	Gebunden
Autor:	Hege, Hans-Christian Polthier, Konrad
Redaktion:	Polthier, K. Hege, H. -C.
Herausgeber:	H -C Hege/K Polthier
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 30 mm
Von/Mit:	K. Polthier (u. a.)
Erscheinungsdatum:	20.10.1998
Gewicht:	0,863 kg