Ricci Flow for Shape Analysis and Surface Registration

Theories, Algorithms and Applications

  • Wei Zeng
  • Xianfeng David Gu

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Wei Zeng, Xianfeng David Gu
    Pages 1-15
  3. Wei Zeng, Xianfeng David Gu
    Pages 17-30
  4. Wei Zeng, Xianfeng David Gu
    Pages 31-58
  5. Wei Zeng, Xianfeng David Gu
    Pages 59-100
  6. Wei Zeng, Xianfeng David Gu
    Pages 101-136
  7. Back Matter
    Pages 137-139

About this book


​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.  


Diffeomorphism Poincaré’s Conjecture QuasiConformal Ricci Flow Surface Registration Uniformization

Authors and affiliations

  • Wei Zeng
    • 1
  • Xianfeng David Gu
    • 2
  1. 1.Computing and Information ScienceFlorida International UniversityMiamiUSA
  2. 2.Computer ScienceState University of New YorkStony BrookUSA

Bibliographic information

  • DOI
  • Copyright Information Wei Zeng, Xianfeng David Gu 2013
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-8780-7
  • Online ISBN 978-1-4614-8781-4
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site