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

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​​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.

Author(s): Wei Zeng, Xianfeng David Gu (auth.)
Series: SpringerBriefs in Mathematics
Edition: 1
Publisher: Springer-Verlag New York
Year: 2013

Language: English
Pages: 139
Tags: Geometry; Computer Imaging, Vision, Pattern Recognition and Graphics; Computational Mathematics and Numerical Analysis; Convex and Discrete Geometry

Front Matter....Pages i-xi
Introduction....Pages 1-15
Surface Topology and Geometry....Pages 17-30
Riemann Surface....Pages 31-58
Discrete Surface Ricci Flow....Pages 59-100
Algorithms and Applications....Pages 101-136
Back Matter....Pages 137-139