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Mathematics - Geometry & Topology | Ricci Flow for Shape Analysis and Surface Registration - Theories, Algorithms and Applications

Ricci Flow for Shape Analysis and Surface Registration

Theories, Algorithms and Applications

Zeng, Wei, Gu, Xianfeng David

2013, XI, 139 p. 69 illus., 49 illus. in color.

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  • ​Presents Ricci flow analysis in a simplified discrete setting
  • Illustrates applications from engineering and medicine that represent state-of-the-art and new exciting challenges
  • Written by experts in the field
​​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.  

Content Level » Research

Keywords » Diffeomorphism - Poincaré’s Conjecture - QuasiConformal - Ricci Flow - Surface Registration - Uniformization

Related subjects » Computational Science & Engineering - Geometry & Topology - Image Processing

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