Mathematical Visualization
Algorithms, Applications and Numerics
Published on 9. December 2010
Book
Paperback/Softback
XX, 393 pages
978-3-642-08373-0 (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
Softcover reprint of hardcover 1st ed. 1998
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
147 s/w Abbildungen, 45 farbige Abbildungen
XX, 393 p. 192 illus., 45 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 26 mm
Weight
704 gr
ISBN-13
978-3-642-08373-0 (9783642083730)
DOI
10.1007/978-3-662-03567-2
Schweitzer Classification
Other editions
Additional editions
Book
10/1998
Springer
€106.99
Shipment within 10-15 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.