Geometry and Topology for Mesh Generation

Erscheinungsjahr 2010
ISBN: 978-0-521-79309-4
Verlag: Cambridge University Press

Buch, Englisch, Band 7, 190 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 434 g

Reihe: Cambridge Monographs on Applied and Computational Mathematics

The book combines topics in mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation). The motivation for these topics is the difficulty, both conceptually and in the technical execution, of combining elements of combinatorial and of numerical algorithms. Mesh generation is a topic where a meaningful combination of these different approaches to problem solving is inevitable. The book develops methods from both areas that are amenable to combination, and explains recent breakthrough solutions to meshing that fit into this category. This book emphasizes topics that are elementary, attractive, useful, interesting, and lend themselves to teaching, making it an ideal graduate text for courses on mesh generation.

Autoren/Hrsg.

Edelsbrunner, Herbert

Ciarlet, Philippe G.

Iserles, A.

Fachgebiete

• Mathematik | Informatik Mathematik Topologie
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

1. Delaunay triangulations; 2. Triangle meshes; 3. Combinatorial topology; 4. Surface simplification; 5. Delaunay tetrahedrizations; 6. Tetrahedron meshes; 7. Open problems.

Über Autor(innen)

Edelsbrunner, Herbert
Herbert Edelsbrunner is Arts and Sciences Professor of Computer Science at Duke University. He was the winner of the 1991 Waterman award from the National Science Foundation and is the founder and director of Raindrop Geomagic, a 3-D modelling company.