<E-Book>
Discrete Differential Geometry / edited by Alexander I. Bobenko TU Berlin, Peter Schröder, John M. Sullivan, Günter M. Ziegler
(Oberwolfach Seminars. ISSN:22965041 ; 38)
Edition | 1st ed. 2008. |
---|---|
Publisher | Basel : Birkhäuser Basel : Imprint: Birkhäuser |
Year | 2008 |
Language | English |
Size | X, 341 p : online resource |
Authors | TU Berlin, Alexander I. Bobenko editor Schröder, Peter editor Sullivan, John M editor Ziegler, Günter M editor SpringerLink (Online service) |
Subjects | LCSH:Convex geometry LCSH:Discrete geometry LCSH:Geometry, Differential FREE:Convex and Discrete Geometry FREE:Differential Geometry |
Notes | Discretization of Surfaces: Special Classes and Parametrizations -- Surfaces from Circles -- Minimal Surfaces from Circle Patterns: Boundary Value Problems, Examples -- Designing Cylinders with Constant Negative Curvature -- On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces -- Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow -- The Discrete Green’s Function -- Curvatures of Discrete Curves and Surfaces -- Curves of Finite Total Curvature -- Convergence and Isotopy Type for Graphs of Finite Total Curvature -- Curvatures of Smooth and Discrete Surfaces -- Geometric Realizations of Combinatorial Surfaces -- Polyhedral Surfaces of High Genus -- Necessary Conditions for Geometric Realizability of Simplicial Complexes -- Enumeration and Random Realization of Triangulated Surfaces -- On Heuristic Methods for Finding Realizations of Surfaces -- Geometry Processing and Modeling with Discrete Differential Geometry -- What Can We Measure? -- Convergence of the Cotangent Formula: An Overview -- Discrete Differential Forms for Computational Modeling -- A Discrete Model of Thin Shells 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 HTTP:URL=https://doi.org/10.1007/978-3-7643-8621-4 |
TOC
Hide book details.
E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
---|---|---|---|---|---|---|---|---|---|---|---|---|
E-Book | オンライン | 電子ブック |
|
|
Springer eBooks | 9783764386214 |
|
電子リソース |
|
EB00232141 |
Hide details.
Material Type | E-Book |
---|---|
Classification | LCC:QA639.5-640.7 LCC:QA640.7-640.77 DC23:516 |
ID | 4000120017 |
ISBN | 9783764386214 |
Similar Items
Usage statistics of this contents
Number of accesses to this page:1times
※After Sep 4, 2017