Shape analysis on homogeneous spaces: a generalised SRVT framework
Abstract
Shape analysis is ubiquitous in problems of pattern and object recognition and has developed considerably in the last decade. The use of shapes is natural in applications where one wants to compare curves independently of their parametrisation. One computationally efficient approach to shape analysis is based on the Square Root Velocity Transform (SRVT). In this paper we propose a generalised SRVT framework for shapes on homogeneous manifolds. The method opens up for a variety of possibilities based on different choices of Lie group action and giving rise to different Riemannian metrics.
Keywords
Cite
@article{arxiv.1704.01471,
title = {Shape analysis on homogeneous spaces: a generalised SRVT framework},
author = {Elena Celledoni and Sølve Eidnes and Alexander Schmeding},
journal= {arXiv preprint arXiv:1704.01471},
year = {2019}
}
Comments
28 pages; 4 figures, 30 subfigures; notes for proceedings of the Abel Symposium 2016: "Computation and Combinatorics in Dynamics, Stochastics and Control". v3: amended the text to improve readability and clarify some points; updated and added some references; added pseudocode for the dynamic programming algorithm used. The main results remain unchanged