{
  "annotation_id": "34d8dfea-328f-49f7-b335-44c8944dbe87",
  "date_created": "2026-03-02T18:00:53.685000Z",
  "date_modified": "2026-03-02T18:00:53.685000Z",
  "file_hash": "92676b306d1df2e2082c94dc0c494f9c9870e216807991775b9cdfc5ed522dfa",
  "private": false,
  "record": {
    "abstract": "A catadioptric sensor induces a projection between a given object surface and\nan image plane. The prescribed projection problem is the problem of finding a\ncatadioptric sensor that realizes a given projection. Here we present a\nfunctional that describes the image error induced by a given mirror when\ncompared with a given projection. This expression can be minimized to find\nsolutions to the prescribed projection problem. We present an example of this\napproach, by finding the optimum spherical mirror that serves as a passenger\nside mirror on a motor vehicle.",
    "arxiv_id": "physics/0410058",
    "authors": [
      "R. Andrew Hicks"
    ],
    "categories": [
      "physics.optics"
    ],
    "title": "An exact expression for the image error in a catadioptric sensor",
    "url": "https://arxiv.org/abs/physics/0410058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7f57485c-faa3-4be7-b718-5cab05a9e9ff",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}