Ricci Flow for Shape Analysis and Surface Registration

Theories, Algorithms and Applications

Wei Zeng, Xianfeng David Gu (Autoren)

Buch | Softcover

139 Seiten

2013 | 2013 ed.
Springer-Verlag New York Inc.
978-1-4614-8780-7 (ISBN)

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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.

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.

Reihe/Serie	SpringerBriefs in Mathematics
Zusatzinfo	49 Illustrations, color; 20 Illustrations, black and white; XI, 139 p. 69 illus., 49 illus. in color.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	diffeomorphism • Poincaré’s Conjecture • QuasiConformal • Ricci Flow • surface registration • uniformization
ISBN-10	1-4614-8780-3 / 1461487803
ISBN-13	978-1-4614-8780-7 / 9781461487807
Zustand	Neuware