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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2203.13346 |
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| _version_ | 1866911100877930496 |
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| author | Balehowsky, Tracey Karlsson, Carl-Joar Modin, Klas |
| author_facet | Balehowsky, Tracey Karlsson, Carl-Joar Modin, Klas |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_13346 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Shape analysis via gradient flows on diffeomorphism groups Balehowsky, Tracey Karlsson, Carl-Joar Modin, Klas Differential Geometry Analysis of PDEs 58D05, 35F25, 68U10 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. |
| title | Shape analysis via gradient flows on diffeomorphism groups |
| topic | Differential Geometry Analysis of PDEs 58D05, 35F25, 68U10 |
| url | https://arxiv.org/abs/2203.13346 |