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Ricci flow for shape analysis and surface registration theories, algorithms and applications Wai Zeng, Xianfeng David Gu
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2013 English International Available online
View online- Format:
- Book
- Author/Creator:
- Zeng, Wei
- Series:
- SpringerBriefs in mathematics 2191-8198
- SpringerBriefs in Mathematics 2191-8198
- Language:
- English
- Subjects (All):
- Ricci flow.
- Mathematics.
- Computer vision.
- Computer science--Mathematics.
- Computer science.
- Geometry.
- Discrete groups.
- mathematics.
- applied mathematics.
- geometry.
- Physical Description:
- 1 online resource
- Place of Publication:
- New York, NY Springer 2013
- Language Note:
- English
- System Details:
- text file
- Summary:
- 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
- Contents:
- 1. Introduction
- 2. Computational
- 3. Computational Geometry
- 4. Differential Geometry of Surface
- 5. Riemann Surface
- 6. Ricci Flow
- 7. Topological Algorithms
- 8. Harmonic Maps
- 9. Discrete Ricci Flow
- 10. Shape Analysis
- 11. Surface Diffeomorphism
- 12. Medical Imaging Applications
- 13. Computer Vision Applications
- 14. Computer Graphics Applications
- 15. Network Applications
- Notes:
- Includes bibliographical references and index
- Other Format:
- Printed edition:
- ISBN:
- 9781461487814
- 1461487811
- 1461487803
- 9781461487807
- OCLC:
- 862577703
- Publisher Number:
- 10.1007/978-1-4614-8781-4
- Access Restriction:
- Restricted for use by site license
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