Removing Shape-Preserving Transformations in Square-Root Elastic (SRE) Framework for Shape Analysis of Curves

  • Shantanu H. Joshi
  • Eric Klassen
  • Anuj Srivastava
  • Ian Jermyn
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4679)

Abstract

This paper illustrates and extends an efficient framework, called the square-root-elastic (SRE) framework, for studying shapes of closed curves, that was first introduced in [2]. This framework combines the strengths of two important ideas - elastic shape metric and path-straightening methods - for finding geodesics in shape spaces of curves. The elastic metric allows for optimal matching of features between curves while path-straightening ensures that the algorithm results in geodesic paths. This paper extends this framework by removing two important shape preserving transformations: rotations and re-parameterizations, by forming quotient spaces and constructing geodesics on these quotient spaces. These ideas are demonstrated using experiments involving 2D and 3D curves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Shantanu H. Joshi
    • 1
  • Eric Klassen
    • 2
  • Anuj Srivastava
    • 3
  • Ian Jermyn
    • 4
  1. 1.Dept. of Electrical Engineering, Florida State University, Tallahassee, FL 32310USA
  2. 2.Dept. of Mathematics, Florida State University, Tallahassee, FL 32306USA
  3. 3.Dept. of Statistics, Florida State University, Tallahassee, FL 32306USA
  4. 4.INRIA Sophia Antipolis, B.P. 93, 06902, CedexFrance

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