Ricci Flow for Shape Analysis and Surface Registration: Theories, Algorithms and Applications

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Springer Science & Business Media, 18.10.2013 - 139 Seiten
Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting. By using basic tools in linear algebra and multivariate calculus, readers can deduce all the major theorems in surface Ricci flow by themselves. The authors adapt the Ricci flow theory to practical computational algorithms, apply Ricci flow for shape analysis and surface registration, and demonstrate the power of Ricci flow in many applications in medical imaging, computer graphics, computer vision and wireless sensor network. Due to minimal pre-requisites, this book is accessible to engineers and medical experts, including educators, researchers, students and industry engineers who have an interest in solving real problems related to shape analysis and surface registration.
 

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Inhalt

1 Introduction
1
2 Surface Topology and Geometry
16
3 Riemann Surface
31
4 Discrete Surface Ricci Flow
59
5 Algorithms and Applications
101
Index
137
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