{
  "id": "0708.2438",
  "version": "v1",
  "published": "2007-08-17T21:36:08.000Z",
  "updated": "2007-08-17T21:36:08.000Z",
  "title": "On Ullman's theorem in computer vision",
  "authors": [
    "Oliver Knill",
    "Jose Ramirez-Herran"
  ],
  "comment": "16 pages, 13 figures",
  "categories": [
    "cs.CV",
    "cs.AI"
  ],
  "abstract": "Both in the plane and in space, we invert the nonlinear Ullman transformation for 3 points and 3 orthographic cameras. While Ullman's theorem assures a unique reconstruction modulo a reflection for 3 cameras and 4 points, we find a locally unique reconstruction for 3 cameras and 3 points. Explicit reconstruction formulas allow to decide whether picture data of three cameras seeing three points can be realized as a point-camera configuration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-17T21:36:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "computer vision",
      "ullmans theorem assures",
      "nonlinear ullman transformation",
      "explicit reconstruction formulas",
      "unique reconstruction modulo"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.2438K"
    }
  }
}