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arXiv · 2203.13346

Shape analysis via gradient flows on diffeomorphism groups

Tracey Balehowsky·Carl-Joar Karlsson·Klas Modin
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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.

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Tracey Balehowsky, Carl-Joar Karlsson, Klas Modin. 2022-03-24. Shape analysis via gradient flows on diffeomorphism groups. https://doi.org/10.1088/1361-6544/aca73c

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