ISBN:978-7-04-023194-6
出版时间:2007-12-07
语种:英文
开本:16
页数:130
Variational Principles for Discrete Surf
作 者:罗锋 戴俊飞 顾险峰
定价:  26.00元 购买
  • 内容简介

    This book intends to lead its readers to some of the current topics of research in the geometry of polyhedral surfaces with applications to computer graphics. The main feature of the book is a systematic introduction to geometry of polyhedral surfaces based on the variational principle. The authors focus on using analytic methods in the study of some of the fundamental results and problems on polyhedral geometry, e. g., the Cauchy rigidity theorem, Thurston's circle packing theorem, rigidity of circle packing theorems and Colin de Verdiere's variational principle. With the vast development of the mathematics subject of polyhedral geometry, the present book is the first complete treatment of the subject.

关键词 数学类
目录
内封   
PDF (304 KB) (
版权   
PDF (428 KB) (
目录   
PDF (837 KB) (
Front Matter   
PDF (1 MB) (
1 Introduction   
摘要   PDF (3 MB) ( ) P. 1-8
2 Spherical Geometry and Cauchy Rigidity Theorem   
摘要   PDF (2 MB) ( ) P. 9-16
3 A Brief Introduction to Hyperbolic Geometry   
摘要   PDF (3 MB) ( ) P. 17-26
4 The Cosine Law and Polyhedral Surfaces   
摘要   PDF (1 MB) ( ) P. 27-32
5 Spherical Polyhedral Surfaces and Legendre Transformation   
摘要   PDF (2 MB) ( ) P. 33-40
6 Rigidity of Euclidean Polyhedral Surfaces   
摘要   PDF (2 MB) ( ) P. 41-46
7 Polyhedral Surfaces of Circle Packing Type   
摘要   PDF (4 MB) ( ) P. 47-60
8 Non-negative Curvature metrics and Delaunay Polytopes   
摘要   PDF (3 MB) ( ) P. 61-68
9 A Brief Introduction to Teichmüller Space   
摘要   PDF (3 MB) ( ) P. 69-76
10 Parameterizatios of Teichmüller spaces   
摘要   PDF (1 MB) ( ) P. 77-82
11 Surface Ricci Flow   
摘要   PDF (1 MB) ( ) P. 83-86
12 Geometric Structure   
摘要   PDF (3 MB) ( ) P. 87-92
13 Shape Acquisition and Representation   
摘要   PDF (2 MB) ( ) P. 93-96
14 Discrete Ricci Flow   
摘要   PDF (7 MB) ( ) P. 97-116
15 Hyperbolic Ricci Flow   
摘要   PDF (3 MB) ( ) P. 117-126
Reference   
PDF (1 MB) ( ) P. 127-128
Index   
PDF (522 KB) ( ) P. 129-130
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