Discrete Differential Geometry

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Bobenko, Alexander I. (Επιμελητής έκδοσης), Sullivan, John M. (Επιμελητής έκδοσης), Schröder, Peter (Επιμελητής έκδοσης), Ziegler, Günter M. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2008.
• Σειρά: Oberwolfach Seminars ; 38
• Θέματα: Mathematics.; Convex geometry.; Discrete geometry.; Differential geometry.; Convex and Discrete Geometry.; Differential Geometry.

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...

Πίνακας περιεχομένων:

• 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.