Tracey Balehowsky, Carl-Joar Karlsson, Klas Modin
Published 2022-03-24Version 1
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.
Comments: 18 pages, 1 figure
On the continuous cohomology of diffeomorphism groups
An exotic zoo of diffeomorphism groups on $\mathbb R^n$
The gradient flow of the $L^2$ curvature energy near the round sphere
![QR code for arXiv:2203.13346 [math.DG]](http://oss.arxitics.com/images/favicon.svg)