Ricci Flow for Shape Analysis and Surface Registration: Theories, Algorithms and Applications: SpringerBriefs in Mathematics
Autor Wei Zeng, Xianfeng David Guen Limba Engleză Paperback – 18 oct 2013
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Specificații
ISBN-13: 9781461487807
ISBN-10: 1461487803
Pagini: 152
Ilustrații: XI, 139 p. 69 illus., 49 illus. in color.
Dimensiuni: 155 x 235 x 12 mm
Greutate: 0.23 kg
Ediția:2013
Editura: Springer
Colecția Springer
Seria SpringerBriefs in Mathematics
Locul publicării:New York, NY, United States
ISBN-10: 1461487803
Pagini: 152
Ilustrații: XI, 139 p. 69 illus., 49 illus. in color.
Dimensiuni: 155 x 235 x 12 mm
Greutate: 0.23 kg
Ediția:2013
Editura: Springer
Colecția Springer
Seria SpringerBriefs in Mathematics
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
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.
Recenzii
From the book reviews:
“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)
“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)
Caracteristici
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 Includes supplementary material: sn.pub/extras