Mathematical Visualization
Algorithms, Applications and Numerics
Published on 20. October 1998
Book
Hardback
XX, 393 pages
978-3-540-63991-6 (ISBN)
Description
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.
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.
More details
Edition
1998 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Research
Illustrations
147 s/w Abbildungen, 45 farbige Abbildungen
XX, 393 p. 192 illus., 45 illus. in color.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 30 mm
Weight
863 gr
ISBN-13
978-3-540-63991-6 (9783540639916)
DOI
10.1007/978-3-662-03567-2
Schweitzer Classification
Other editions
Additional editions
Book
12/2010
Springer
€106.99
Shipment within 7-9 days
Content
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.