Geometry and topology for mesh generation
著者
書誌事項
Geometry and topology for mesh generation
（Cambridge monographs on applied and computational mathematics, 6）
Cambridge University Press, 2006
- : pbk
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注記
"First published 2001"--T.p. vsero
Includes bibliographical references and indexes
内容説明・目次
内容説明
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.
目次
- 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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