Discrete Differential GeometryAlexander I. Bobenko TU Berlin, Peter Schröder, John M. Sullivan, Günter M. Ziegler Springer Science & Business Media, 27 de març 2008 - 341 pàgines 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 surfaces. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. This collection of essays, which documents the main lectures of the 2004 Oberwolfach Seminar on the topic, as well as a number of additional contributions by key participants, gives a lively, multi-facetted introduction to this emerging field. |
Continguts
Boundary Value Problems Examples | 33 |
Designing Cylinders with Constant Negative Curvature | 57 |
Discrete Hashimoto Surfaces and a Doubly Discrete SmokeRing Flow | 92 |
The Discrete Greens Function | 117 |
Curves of Finite Total Curvature | 137 |
Convergence and Isotopy Type for Graphs of Finite Total Curvature | 159 |
by John M Sullivan | 175 |
Polyhedral Surfaces of High Genus | 191 |
Altres edicions - Mostra-ho tot
Discrete Differential Geometry: Integrable Structure Alexander I. Bobenko,Yuri B. Suris Previsualització limitada - 2008 |
Discrete Differential Geometry: Integrable Structure Alexander I. Bobenko,Yuri B. Suris Previsualització limitada - 2023 |
Discrete Differential Geometry: Integrable Structure Alexander I. Bobenko,Yuri B. Suris Previsualització no disponible - 2008 |
Frases i termes més freqüents
angle applied asymptotic Bobenko boundary bounded called circle closed combinatorial complex computational condition connected consider consists constant construction continuous convergence convex coordinates corresponding curvature lines curve defined definition deformations denotes derivative Differential Geometry direction discrete dual edges embedded energy equal equation equivalent example exists exterior derivative faces fact Figure finite flow formula function Gauss genus geometry given gives graph integral intersection isometric deformations knot Lemma length linear Math mean curvature measure mesh method metric minimal surfaces normal Note notion obtained operator oriented orthogonal parametrization particular planar plane points polygon polyhedral position problem projection Proof properties Proposition quadrilateral realization relations result satisfies simplicial smooth space sphere tangent tangent vector theorem theory total curvature transformation triangulated values vector vertex vertices volume
Referències a aquest llibre
Discrete Differential Geometry: Integrable Structure Alexander I. Bobenko,Yuri B. Suris Previsualització no disponible - 2008 |