Visualization and mathematics III

Hans-Christian Hege, Konrad Polthier

470 pages, parution le 24/07/2003

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Résumé

A collection of state-of-the-art presentations on visualization problems in mathematics, fundamental mathematical research in computer graphics, and software frameworks for the application of visualization to real-world problems. Contributions have been written by leading experts and peer-refereed by an international editorial team. The book grew out of the third international workshop 'Visualization and Mathematics', May 22-25, 2002 in Berlin. The variety of topics covered makes the book ideal for researcher, lecturers, and practitioners.

Geometry and Combinatorics of Meshes
- Planar Conformal Mappings of Piecewise Flat Surfaces
- Discrete Di.erential-Geometry Operators for Triangulated 2-Manifolds
- Constructing Circle Patterns Using a New Functional
- Constructing Hamiltonian Triangle Strips on Quadrilateral Meshes

Discrete Vector Fields and Topology
- Visualizing Forman's Discrete Vector Field
- Identifying Vector Field Singularities Using a Discrete Hodge Decomposition
- Searching for Knotted Spheres in 4-dimensional Space
- 3D Loop Detection and Visualization in Vector Fields

Geometric Modelling
- Minkowski Geometric Algebra and the Stability of Characteristic Polynomials
- Subdivision Invariant Polynomial Interpolation
- Another Metascheme of Subdivision Surfaces
- Geometry of the Squared Distance Function to Curves and Surfaces

Image Based Visualization
- A Multiscale Fairing Method for Textured Surfaces
- Generalized Block Iterative Methods
- Fast Difference Schemes for Edge Enhancing Beltrami Flow and Subjective Surfaces

Software Environments and Applications
- Alice on the Eightfold Way: Exploring Curved Spaces in an Enclosed Virtual Reality Theater
- Computation and Visualisation in the NumLab Numerical Laboratory
- A Generic Programming Approach to Multiresolution Spatial Decompositions
- Mathematical Modelling and Visualisation of Complex Three-dimensional Flows
- WebMathematica

Education and Communication
- Films: A Communicating Tool for Mathematics
- The Potentials of Math Visualization and their Impact on the Curriculum

Appendix: Color Plates
Index

L'auteur - Hans-Christian Hege

Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB), Berlin, Germany;

L'auteur - Konrad Polthier

Konrad Polthier est professeur de mathématiques à l'Université libre de Berlin. Il a publié plusieurs ouvrages et vidéos permettant de visualiser les mathématiques.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Hans-Christian Hege, Konrad Polthier
Parution	24/07/2003
Nb. de pages	470
Format	16 x 24
Couverture	Relié
Poids	995g
Intérieur	Noir et Blanc
EAN13	9783540012955