Visualization and Mathematics III (eBook, PDF)

Redaktion: Hege, Hans-Christian; Polthier, Konrad

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 457
• Erscheinungstermin: 11. November 2013
• Englisch
• ISBN-13: 9783662051054
• Artikelnr.: 53141173

Autorenporträt

Prof. Dr. Konrad Polthier ist Professor für Mathematik an der Freien Universität Berlin und am DFG-Forschungszentrum MATHEON. Er hat mehrere Fachbücher zur mathematischen Visualisierung und unterhaltsame Videos zur Mathematik veröffentlicht.

Inhaltsangabe

Planar Conformal Mappings of Piecewise Flat Surfaces.- Discrete Differential-Geometry Operators for Triangulated 2-Manifolds.- Constructing Circle Patterns Using a New Functional.- Constructing Hamiltonian Triangle Strips on Quadrilateral Meshes.- 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.- 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.- A Multiscale Fairing Method for Textured Surfaces.- Generalized Block Iterative Methods.- Fast Difference Schemes for Edge Enhancing Beltrami Flow and Subjective Surfaces.- 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.- Films: A Communicating Tool for Mathematics.- The Potentials of Math Visualization and their Impact on the Curriculum.- Appendix: Color Plates.