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Bibliographic Details
Main Authors: Balehowsky, Tracey, Karlsson, Carl-Joar, Modin, Klas
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2203.13346
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Table of Contents:
  • 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.