Ricci flow for shape analysis and surface registration : theories, algorithms and applications

Ricci flow for shape analysis and surface registration theories, algorithms and applications

1. Introduction2. Surface topology and geometry -- 3. Riemann surface -- 4. Discrete surface Ricci flow -- 5. Algorithms and applications

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Bibliographische Detailangaben
1. Verfasser: Zeng, Wei (VerfasserIn)
Weitere Verfasser: Gu, Xianfeng David (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: New York, NY u.a. Springer 2013
Schriftenreihe:Springer-briefs in mathematics
Schlagworte:
Ricci flow > Computer vision > Discrete groups > Geometry > Mathematics > Ricci-Fluss > Riemannsche Fläche
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Beschreibung
Zusammenfassung:1. Introduction2. Surface topology and geometry -- 3. Riemann surface -- 4. Discrete surface Ricci flow -- 5. Algorithms and applications
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--
Beschreibung:Includes bibliographical references and index
Beschreibung:XI, 139 S.
zahlr. Ill., graph. Darst.
ISBN:9781461487807
978-1-4614-8780-7