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Introduction

  • Wei Zeng
  • Xianfeng David Gu
Chapter
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

This chapter briefly introduces the fundamental concepts of shape space and mapping space, including different transformation groups (such as diffeomorphisms, isometries, conformal transformations, and rigid motions) and group actions on shape spaces. In order to perform surface registration and shape analysis in the shape space and the mapping space, Ricci flow is introduced, which leads to the celebrated uniformization theorem.

Keywords

Harmonic Mapping Riemann Surface Quotient Space Homotopy Class Conformal Module 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media New York 2013

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

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