{
  "id": "2207.12330",
  "version": "v1",
  "published": "2022-07-25T16:40:19.000Z",
  "updated": "2022-07-25T16:40:19.000Z",
  "title": "Tikhonov Regularization of Sphere-Valued Signals",
  "authors": [
    "Laurent Condat"
  ],
  "categories": [
    "math.OC",
    "eess.SP"
  ],
  "abstract": "It is common to have to process signals, whose values are points on the 3-D sphere. We consider a Tikhonov-type regularization model to smoothen or interpolate sphere-valued signals defined on arbitrary graphs. We propose a convex relaxation of this nonconvex problem as a semidefinite program, which is easy to solve numerically and is efficient in practice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-25T16:40:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tikhonov regularization",
      "tikhonov-type regularization model",
      "semidefinite program",
      "process signals",
      "interpolate sphere-valued signals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}