Shape analysis via gradient flows on diffeomorphism groups
Differential Geometry
2025-08-12 v3 Analysis of PDEs
Abstract
We study a gradient flow on Sobolev diffeomorphisms for the problem of image registration. The energy functional quantifies the effect of transforming a template to a target, while also penalizing deformation of the metric tensor. The main result is well-posedness of the flow. We also give a geometric description of the gradient in terms of the momentum map.
Keywords
Cite
@article{arxiv.2203.13346,
title = {Shape analysis via gradient flows on diffeomorphism groups},
author = {Tracey Balehowsky and Carl-Joar Karlsson and Klas Modin},
journal= {arXiv preprint arXiv:2203.13346},
year = {2025}
}
Comments
18 pages, 1 figure