title: Removing Shape-Preserving Transformations in Square-Root Elastic (SRE) Framework for Shape Analysis of Curves.
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.
authors: Dept. of Electrical Engineering, Florida State University, Tallahassee, FL 32310, USA.
authors: Shantanu H
authors: SH
authors: Joshi
authors: Eric
authors: E
authors: Klassen
authors: Anuj
authors: A
authors: Srivastava
authors: Ian
authors: I
authors: Jermyn