Ricci Flow for Shape Analysis and Surface Registration - Wei Zeng, Xianfeng David Gu

Ricci Flow for Shape Analysis and Surface Registration

Theories, Algorithms and Applications
Buch | Softcover
139 Seiten
2013
Springer-Verlag New York Inc.
978-1-4614-8780-7 (ISBN)
74,89 inkl. MwSt
​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
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