{
  "id": "2011.07178",
  "version": "v1",
  "published": "2020-11-14T00:53:00.000Z",
  "updated": "2020-11-14T00:53:00.000Z",
  "title": "On the relation between constraint regularization, level sets, and shape optimization",
  "authors": [
    "A. Leitao",
    "O. Scherzer"
  ],
  "comment": "12 pages, Letter to the editor",
  "journal": "Inverse Problems 19 (2003), no. 1, L1-L11",
  "doi": "10.1088/0266-5611/19/1/101",
  "categories": [
    "math.OC",
    "cs.NA",
    "math.NA"
  ],
  "abstract": "We consider regularization methods based on the coupling of Tikhonov regularization and projection strategies. From the resulting constraint regularization method we obtain level set methods in a straight forward way. Moreover, we show that this approach links the areas of asymptotic regularization to inverse problems theory, scale-space theory to computer vision, level set methods, and shape optimization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-14T00:53:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65J20",
      "47J06"
    ],
    "keywords": [
      "shape optimization",
      "level set methods",
      "resulting constraint regularization method",
      "inverse problems theory",
      "asymptotic regularization"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}