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Geometry and Topology for Mesh Generation

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Geometry and Topology for Mesh Generation

Geometry and Topology for Mesh Generation

Herbert Edelsbrunner, Duke University, North Carolina
April 2006
Paperback
9780521682077
    Description

    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 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.

    • Combines topics from mathematics, computer science, and engineering
    • Based upon a graduate-level course given at Duke University
    • Has wide application in both industry and academia

    Product details

    April 2006
    Paperback
    9780521682077
    190 pages
    229 × 152 × 11 mm
    0.271kg
    Available

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    Contents

    Table of Contents

    • 1. Delaunay triangulations
    • 2. Triangle meshes
    • 3. Combinatorial topology
    • 4. Surface simplification
    • 5. Delaunay tetrahedrizations
    • 6. Tetrahedron meshes
    • 7. Open problems.
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    About the authors
      Author
    • Herbert Edelsbrunner , Duke University, North Carolina

      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.

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