Ricci flow for shape analysis and surface registration
Subtitle: theories, algorithms and applications
By: Wei Zeng, Xianfeng David Gu
Contributors: Gu, Xianfeng David
Series: SpringerBriefs in mathematics; SpringerBriefs in mathematics
Publisher: Springer
Published: 2013
Place of publication: New York
Language: eng
Number of pages: 139
ISBN-13: 9781461487807; 9781461487814
Copyright date: 2013
Subjects: Ricci flow; Computer vision; Discrete groups; Geometry; Mathematics
Description: 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--
Notes: Includes bibliographical references and index.
Table of contents: title: 1. Introduction; title: 2. Surface topology and geometry; title: 3. Riemann surface; title: 4. Discrete surface Ricci flow; title: 5. Algorithms and applications