Discrete differential geometry / ed. by A.I.Bobenko et al. - Basel: Birkhäuser, 2008. - x, 341 p.: ill. - (Oberwolfach seminars; vol.38). - Incl. bibl. ref. - ISBN 978-3-7643-8620-7  Место хранения:   02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents

Preface ......................................................... v Part I: Discretization of Surfaces: Special Classes and Parametrizations ................................................ 1 Surfaces from Circles by Alexander I. Bobenko ......................................... 3 Minimal Surfaces from Circle Patterns: Boundary Value Problems, Examples by Ulrike Bücking .............................................. 37 Designing Cylinders with Constant Negative Curvature by Ulrich Pinkall .............................................. 57 On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces by Wolfgang K. Schief, Alexander I. Bobenko and Tim Hoffmann ... 67 Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow by Tim Hoffmann ................................................ 95 The Discrete Green's Function by Yuri B. Suris .............................................. 117 Part II: Curvatures of Discrete Curves and Surfaces ........... 135 Curves of Finite Total Curvature by John M. Sullivan ........................................... 137 Convergence and Isotopy Type for Graphs of Finite Total Curvature by Elizabeth Denne and John M. Sullivan ....................... 163 Curvatures of Smooth and Discrete Surfaces by John M. Sullivan ........................................... 175 Part III: Geometric Realizations of Combinatorial Surfaces .... 189 Polyhedral Surfaces of High Genus by Günter M. Ziegler .......................................... 191 Necessary Conditions for Geometric Realizability of Simplicial Complexes by Dagmar Timmreck ............................................ 215 Enumeration and Random Realization of Triangulated Surfaces by Frank H. Lutz .............................................. 235 On Heuristic Methods for Finding Realizations of Surfaces by Jürgen Bokowski ............................................ 255 Part IV: Geometry Processing and Modeling with Discrete Differential Geometry ......................................... 261 What Can We Measure? by Peter Schröder ............................................. 263 Convergence of the Cotangent Formula: An Overview by Max Wardetzky .............................................. 275 Discrete Differential Forms for Computational Modeling by Mathieu Desbrun, Eva Kanso and Yiying Tong ................. 287 A Discrete Model of Thin Shells by Eitan Grinspun ............................................. 325 Index ......................................................... 339