{
  "id": "1003.3764",
  "version": "v1",
  "published": "2010-03-19T10:59:01.000Z",
  "updated": "2010-03-19T10:59:01.000Z",
  "title": "Direct numerical reconstruction of conductivities in three dimensions",
  "authors": [
    "Jutta Bikowski",
    "Kim Knudsen",
    "Jennifer Mueller"
  ],
  "comment": "20 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "A direct three dimensional EIT reconstruction algorithm based on complex geometrical optics solutions and a nonlinear scattering transform is presented and implemented for spherically symmetric conductivity distributions. The scattering transform is computed both with a Born approximation and from the forward problem for purposes of comparison. Reconstructions are computed for several test problems. A connection to Calder\\'on's linear reconstruction algorithm is established, and reconstructions using both methods are compared.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-19T10:59:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "65N21"
    ],
    "keywords": [
      "direct numerical reconstruction",
      "calderons linear reconstruction algorithm",
      "dimensional eit reconstruction algorithm",
      "dimensions",
      "complex geometrical optics solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.3764B"
    }
  }
}