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Visualization and mathematics : experiments, simulations, and environments

Author: Hans-Christian Hege; Konrad Polthier
Publisher: Berlin ; New York : Springer, ©1997.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
Visualization and mathematics have begun a fruitful relationship, establishing many links between problems and solutions of both fields. In some areas of mathematics, such as numerical mathematics and differential geometry, visualization techniques are applied with great success. On the other hand, visualization methods are relying heavily on mathematical concepts. Applications of visualization in mathematical  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
Visualization and mathematics.
Berlin ; New York : Springer, ©1997
(DLC) 97026088
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hans-Christian Hege; Konrad Polthier
ISBN: 9783642591952 3642591957 9783642638916 3642638910
OCLC Number: 828776738
Notes: "This book grew out of the international workshop ... held from May 30 to June 2, 1995 in Berlin-Dahlem"--Preface.
Description: 1 online resource (xix, 386 pages) : illustrations (some color)
Contents: I. Visualizing Mathematics --
The Minimax Sphere Eversion --
Exploring Plane Hyperbolic Geometry --
Visualizing Nonlinear Electrodynamics --
The Use of Computer Graphics for Solving Problems in Singularity Theory --
What Should a Surface in 4-Space Look Like? --
Animation of Algebraic Surfaces --
II. Geometric Algorithms and Experiments --
Using Symmetry Features of the Surface Evolver to Study Foams --
Constant Mean Curvature Surfaces Derived from Delaunay's and Wente's Examples --
Visualization of Periodic Tilings --
An Algorithm for Discrete Constant Mean Curvature Surfaces --
III. Visualization Algorithms and Data Structures --
Efficient Calculation of Subdivision Surfaces for Visualization --
Fast Line Integral Convolution for Arbitrary Surfaces in 3D --
Visualization of Parallel Data based on Procedural Access --
IV. Visualization Environments --
A new 3D Graphics Library: Concepts, Implementation, and Examples --
A Generic Approach to Computer Graphics --
MRT --
A Visualization Tool Addressing Problems 'outside' the Classical Rendering Domain --
Oorange: A Virtual Laboratory for Experimental Mathematics --
Linear Inductive Reductive Dataflow System for ViSC --
See what I mean? Using Graphics Toolkits to Visualise Numerical Data --
V. Visualization and Simulation Techniques --
Numerical Algorithms and Visualization in Medical Treatment Planning --
Level Set Methods for Curvature Flow, Image Enchancement, and Shape Recovery in Medical Images --
Numerical Methods, Simulations and Visualization for Compressible Flows --
Appendix: Color Plates.
Responsibility: Hans-Christian Hege, Konrad Polthier, eds.

Abstract:

With contributions by numerous experts  Read more...

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