Discrete Differential Geometry
Discrete Differential Geometry
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DOI：
10.4171/owr/2009/02
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发表时间：
2008-12
期刊：
影响因子：
--
通讯作者：
A. Bobenko;R. Kenyon;J. Sullivan;G. Ziegler
中科院分区：
文献类型：
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作者：
A. Bobenko;R. Kenyon;J. Sullivan;G. Ziegler
曲面的离散化：特殊类与参数化圆的曲面。圆模式的极小曲面：边值问题，例子。设计具有恒定负曲率的曲率计。论多面体曲面的无穷小和有限变形的可积性。离散Hashimoto曲面和双重离散烟环流离散绿色函数离散曲线和曲面的曲率有限总曲率的曲线有限全曲率图的收敛性与同构型光滑和离散曲面的曲率。组合曲面的几何实现高亏格的多面体曲面单纯复形几何可实现的必要条件三角化曲面的枚举与随机实现关于寻找曲面实现的启发式方法。几何处理和离散微分几何建模。我们可以测量什么？余切公式的收敛性：综述。离散微分形式的计算建模。薄壳的离散模型。
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.