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Preface | p. v |
Discretization of Surfaces: Special Classes and Parametrizations | p. 1 |
Surfaces from Circles | p. 3 |
Minimal Surfaces from Circle Patterns: Boundary Value Problems, Examples | p. 37 |
Designing Cylinders with Constant Negative Curvature | p. 57 |
On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces | p. 67 |
Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow | p. 95 |
The Discrete Green's Function | p. 117 |
Curvatures of Discrete Curves and Surfaces | p. 135 |
Curves of Finite Total Curvature | p. 137 |
Convergence and Isotopy Type for Graphs of Finite Total Curvature | p. 163 |
Curvatures of Smooth and Discrete Surfaces | p. 175 |
Geometric Realizations of Combinatorial Surfaces | p. 189 |
Polyhedral Surfaces of High Genus | p. 191 |
Necessary Conditions for Geometric Realizability of Simplicial Complexes | p. 215 |
Enumeration and Random Realization of Triangulated Surfaces | p. 235 |
On Heuristic Methods for Finding Realizations of Surfaces | p. 255 |
Geometry Processing and Modeling with Discrete Differential Geometry | p. 261 |
What Can We Measure? | p. 263 |
Convergence of the Cotangent Formula: An Overview | p. 275 |
Discrete Differential Forms for Computational Modeling | p. 287 |
A Discrete Model of Thin Shells | p. 325 |
Index | p. 339 |
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