Why Use Sobolev Metrics on the Space of Curves
Differential Geometry
2017-08-02 v1 Numerical Analysis
Abstract
We study reparametrization invariant Sobolev metrics on spaces of regular curves. We discuss their completeness properties and the resulting usability for applications in shape analysis. In particular, we will argue, that the development of efficient numerical methods for higher order Sobolev type metrics is an extremely desirable goal.
Keywords
Cite
@article{arxiv.1502.03229,
title = {Why Use Sobolev Metrics on the Space of Curves},
author = {Martin Bauer and Martins Bruveris and Peter W. Michor},
journal= {arXiv preprint arXiv:1502.03229},
year = {2017}
}
Comments
22 pages, many figures