{
  "id": "2203.13346",
  "version": "v1",
  "published": "2022-03-24T21:32:07.000Z",
  "updated": "2022-03-24T21:32:07.000Z",
  "title": "Shape analysis via gradient flows on diffeomorphism groups",
  "authors": [
    "Tracey Balehowsky",
    "Carl-Joar Karlsson",
    "Klas Modin"
  ],
  "comment": "18 pages, 1 figure",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-24T21:32:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "68U10",
      "58D05",
      "35R30"
    ],
    "keywords": [
      "gradient flow",
      "diffeomorphism groups",
      "shape analysis",
      "energy functional quantifies",
      "geometric description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}