Visualization and Mathematics III / Edition 1

Visualization and Mathematics III / Edition 1

by Hans-Christian Hege
     
 

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ISBN-10: 3642056822

ISBN-13: 9783642056826

Pub. Date: 02/18/2011

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783642056826
Publisher:
Springer Berlin Heidelberg
Publication date:
02/18/2011
Series:
Mathematics and Visualization Series
Edition description:
Softcover reprint of hardcover 1st ed. 2003
Pages:
457
Product dimensions:
6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

Table of Contents

Part I Geometry and Combinatorics of Meshes

Philip L. Bowers, Monica K. Hurdal: Planar Conformal Mappings of Piecewise Flat Surfaces

Mark Meyer, Mathieu Desbrun, Peter Schröder, Alan H. Barr: Discrete Differential-Geometry Operators for Triangulated 2-Manifolds

Boris A. Springborn: Constructing Circle Patterns Using a New Functional

Gabriel Taubin: Meshes Constructing Hamiltonian Triangle Strips on Quadrilateral

Part II Discrete Vector Fields and Topology

Thomas Lewiner, Helio Lopes, Geovan Tavares: Visualizing Forman’s Discrete Vector Field

Konrad Polthier and Eike Preuß: Identifying Vector Field Singularities Using a Discrete Hodge Decomposition

Dennis Roseman: Searching for Knotted Spheres in 4-dimensional Space

Thomas Wischgoll, Gerik Scheuermann: 3D Loop Detection and Visualization in Vector Fields

Part III Geometric Modelling

Rida T. Farouki, Hwan Pyo Moon: Minkowski Geometric Algebra and the Stability of Characteristic Polynomials

Stefanie Hahmann, Georges-Pierre Bonneau, Alex Yvart: Subdivision Invariant Polynomial Interpolation

Heinrich Müller, Markus Rips: Another Metascheme of Subdivision Surfaces

Helmut Pottmann, Michael Hofer: Geometry of the Squared Distance Function to Curves and Surfaces

Part IV Image Based Visualization

Ulrich Clarenz, Udo Diewald, Martin Rumpf: A Multiscale Fairing Method for Textured Surfaces

Michel Leblond, Fran¸cois Rousselle, Christophe Renaud: Generalized Block Iterative Methods

Ravi Malladi, Igor Ravve: Fast Difference Schemes for Edge Enhancing Beltrami Flow and Subjective Surfaces

Part V Software Environments and Applications

George K. Francis, Camille M.A. Goudeseune, Henry J. Kaczmarski, Benjamin J. Schaeffer, John M. Sullivan: Alice on the Eightfold Way: Exploring Curved Spaces in an Enclosed Virtual Reality Theater

Joseph M.L. Maubach, Alexandru C. Telea: Computation and Visualisation in the NumLab Numerical Laboratory

Vinícius Mello, Luiz Velho, Paulo Roma Cavalcanti, Cláudio T. Silva: A Generic Programming Approach to Multiresolution Spatial Decompositions

Alfio Quarteroni, Marzio Sala, M.L. Sawley, N. Parolini, G. Cowles: Mathematical Modelling and Visualisation of Complex Three-dimensional Flows

Tom Wickham-Jones: webMathematica

Part VI Education and Communication

Michele Emmer: Films: A Communicating Tool for Mathematics

Beau Janzen:The Potentials of Math Visualization and their Impact on the Curriculum

Appendix: Color Plates

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