Geometry and Topology for Mesh Generation

by Herbert Edelsbrunner

Overview

This book combines mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation) in order to solve the conceptual and technical problems in the combining of elements of combinatorial and numerical algorithms. The book develops methods from areas that are amenable to combination and explains recent breakthrough solutions to meshing that fit into this category. It should be an ideal graduate text for courses on mesh generation. The specific material is selected giving preference to topics that are elementary, attractive, lend themselves to teaching, are useful, and interesting.

Product Details

ISBN-13:	9780521682077
Publisher:	Cambridge University Press
Publication date:	01/09/2006
Series:	Cambridge Monographs on Applied and Computational Mathematics , #7
Edition description:	First Edition
Pages:	190
Product dimensions:	5.98(w) x 9.02(h) x 0.43(d)

About the Author

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.

Table of Contents

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

Editorial Reviews

' a very readable exposition '.Monatshefte für Mathematik —

From the Publisher