Ricci Flow for Shape Analysis and Surface Registration
Theories, Algorithms and Applications
Published on 18. October 2013
Book
Paperback/Softback
XI, 139 pages
978-1-4614-8780-7 (ISBN)
Description
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.
Reviews / Votes
From the book reviews:"The book is aimed at providing mathematical foundations and algorithms for practitioners, especially engineers ... One of the most fascinating parts of the book consists of the applications of discrete Ricci flow pioneered by the authors. ... The authors have developed very effective methods of computing the solutions of discrete Ricci flow and have applied them successfully to solve many real world imaging problems." (Bennett Chow, David Glickenstein and Feng Luo, Bulletin of the American Mathematical Society, Vol. 54 (1), January, 2017)
"It provides both theoretical foundations and computational methods for surface Ricci flow, and describes its applications in surface registration and shape analysis. ... This monograph is addressed mainly to graduate students and researchers in the fields of computer science, applied mathematics, engineering, and medical imaging. The book is recommended as well for professionals in the fields related to surface registration and shape analysis ... ." (Vladimir Balan, Mathematical Reviews, June, 2014)
More details
Product info
Book
Series
Edition
2013
Language
English
Place of publication
NY
United States
Target group
Professional and scholarly
Research
Illustrations
15 s/w Tabellen, 49 farbige Abbildungen, 20 s/w Abbildungen
XI, 139 p. 69 illus., 49 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 9 mm
Weight
270 gr
ISBN-13
978-1-4614-8780-7 (9781461487807)
DOI
10.1007/978-1-4614-8781-4
Schweitzer Classification
Other editions
Additional editions
Wei Zeng | Xianfeng David Gu
Ricci Flow for Shape Analysis and Surface Registration
Theories, Algorithms and Applications
E-Book
10/2013
1st Edition
Springer
€80.24
Available for download
Content
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.