7 Polyhedral Surfaces of Circle Packing Type

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Variational Principles for Discrete Surf 作者：罗锋戴俊飞顾险峰　　 ISBN：978-7-04-023194-6　出版时间：2007-12-07

全书目录
本章目录

内封

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目录

Front Matter

1 Introduction

2 Spherical Geometry and Cauchy Rigidity Theorem

3 A Brief Introduction to Hyperbolic Geometry

4 The Cosine Law and Polyhedral Surfaces

5 Spherical Polyhedral Surfaces and Legendre Transformation

6 Rigidity of Euclidean Polyhedral Surfaces

7 Polyhedral Surfaces of Circle Packing Type

8 Non-negative Curvature metrics and Delaunay Polytopes

9 A Brief Introduction to Teichmüller Space

10 Parameterizatios of Teichmüller spaces

11 Surface Ricci Flow

12 Geometric Structure

13 Shape Acquisition and Representation

14 Discrete Ricci Flow

15 Hyperbolic Ricci Flow

Reference

Index
- 7.1 Introduction
- 7.2 The Cosine Law and the Radius Parametrization
- 7.3 Colin de Verdiere's Proof of Thurston-Andreev Rigidity Theorem
- 7.4 A Proof of Leibon's Theorem
- 7.5 A Sketch of a Proof of Theorem 7.3(c)
- 7.6 Marden-Rodin's Proof Thurston-Andreev Theorem

7 Polyhedral Surfaces of Circle Packing Type

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