Discrete differential geometry / Alexander I. Bobenko [and others], editors.
"Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral su...
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| Other Authors: | |
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| Format: | Ebook |
| Language: | English |
| Published: |
Basel :
Birkhäuser,
[2008]
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| Series: | Oberwolfach seminars ;
v. 38. |
| Subjects: | |
| Online Access: | Springer eBooks Table of contents |
Table of Contents:
- Discretization of Surfaces: Special Classes and Parametrizations:
- Surfaces from Circles / Alexander I. Bobenko
- Minimal Surfaces from Circle Patterns: Boundary Value Problems, Examples / Ulrike Bücking
- Designing Cylinders with Constant Negative Curvature / Ulrich Pinkall
- On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces / Wolfgang K. Schief, Alexander I. Bobenko, Tim Hoffmann
- Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow / Tim Hoffmann
- The Discrete Green’s Function / Yuri B. Suris
- Curvatures of Discrete Curves and Surfaces:
- Curves of Finite Total Curvature / John M. Sullivan
- Convergence and Isotopy Type for Graphs of Finite Total Curvature / Elizabeth Denne, John M. Sullivan
- Curvatures of Smooth and Discrete Surfaces / John M. Sullivan
- Geometric Realizations of Combinatorial Surfaces:
- Polyhedral Surfaces of High Genus / Günter M. Ziegler
- Necessary Conditions for Geometric Realizability of Simplicial Complexes / Dagmar Timmreck
- Enumeration and Random Realization of Triangulated Surfaces / Frank H. Lutz
- On Heuristic Methods for Finding Realizations of Surfaces / Jürgen Bokowski
- Geometry Processing and Modeling with Discrete Differential Geometry:
- What Can We Measure? / Peter Schröder
- Convergence of the Cotangent Formula: An Overview / Max Wardetzky
- Discrete Differential Forms for Computational Modeling / Mathieu Desbrun, Eva Kanso, Yiying Tong
- A Discrete Model of Thin Shells / Eitan Grinspun.