Geometry and Topology for Mesh Generation by Herbert Edelsbrunner (English) Hard

Publisher Description

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.

Author Biography

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.

Review

'The book is an ideal graduate text for courses on mesh generation. The topics of the books are elementary, attractive, useful, interesting, and one section deals with open question in this area.' Mathematical Reviews '... a very readable exposition ...'. Monatshefte fur Mathematik '... well organised ... We recommend the book to graduate students and researchers in computational geometry.' Janos Kincses, Acta Sci. Math.

Review Quote

'… well organised … We recommend the book to graduate students and researchers in computational geometry.' Jnos Kincses, Acta Sci. Math.

Promotional "Headline"

This graduate text combines geometry, topology, algorithms, and engineering and emphasizes topics that are both elementary and useful.

Description for Bookstore

Mesh generation combines different approaches to problem solving from mathematics, computer science, and engineering. 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.

Description for Library

Mesh generation combines different approaches to problem solving from mathematics, computer science, and engineering. 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.

Details