Ricci Flow for Shape Analysis and Surface Registration

Theories, Algorithms and Applications

AvWei Zeng,Xianfeng David Gu

Häftad, Engelska, 2013

Del i serien SpringerBriefs in Mathematics

816 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2013-10-18
Mått:155 x 235 x 9 mm
Vikt:270 g
Format:Häftad
Språk:Engelska
Serie:SpringerBriefs in Mathematics
Antal sidor:139
Upplaga:2013
Förlag:Springer-Verlag New York Inc.
ISBN:9781461487807

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Recensioner i media

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)

Innehållsförteckning

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.