{
  "id": "2210.03495",
  "version": "v1",
  "published": "2022-10-07T12:30:41.000Z",
  "updated": "2022-10-07T12:30:41.000Z",
  "title": "Total Variation-Based Reconstruction and Phase Retrieval for Diffraction Tomography with an Arbitrarily Moving Object",
  "authors": [
    "Robert Beinert",
    "Michael Quellmalz"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We consider the imaging problem of the reconstruction of a three-dimensional object via optical diffraction tomography under the assumptions of the Born approximation. Our focus lies in the situation that a rigid object performs an irregular, time-dependent rotation under acoustical or optical forces. In this study, we compare reconstruction algorithms in case i) that two-dimensional images of the complex-valued wave are known, or ii) that only the intensity (absolute value) of these images can be measured, which is the case in many practical setups. The latter phase-retrieval problem can be solved by an all-at-once approach based utilizing a hybrid input-output scheme with TV regularization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-07T12:30:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B05",
      "47J06",
      "65T50",
      "92C55"
    ],
    "keywords": [
      "total variation-based reconstruction",
      "arbitrarily moving object",
      "phase retrieval",
      "rigid object performs",
      "hybrid input-output scheme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}