{
  "id": "0905.2224",
  "version": "v3",
  "published": "2009-05-14T00:14:28.000Z",
  "updated": "2009-05-20T00:39:21.000Z",
  "title": "A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery",
  "authors": [
    "Bin Dong",
    "Aichi Chien",
    "Zuowei Shen",
    "Stanley Osher"
  ],
  "comment": "12 pages, 3 figures",
  "journal": "SIAM Journal on Scientific Computing, 32(4), 1724-1739, 2010",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, we will first introduce a novel multiscale representation (MSR) for shapes. Based on the MSR, we will then design a surface inpainting algorithm to recover 3D geometry of blood vessels. Because of the nature of irregular morphology in vessels and organs, both phantom and real inpainting scenarios were tested using our new algorithm. Successful vessel recoveries are demonstrated with numerical estimation of the degree of arteriosclerosis and vessel occlusion.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-05-20T00:39:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "blood vessel recovery",
      "application",
      "novel multiscale representation",
      "successful vessel recoveries",
      "real inpainting scenarios"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.2224D"
    }
  }
}