{
  "annotation_id": "f6ff07b2-6fd2-4a85-8645-8c4fd8c402ce",
  "date_created": "2026-03-02T18:01:31.674000Z",
  "date_modified": "2026-03-02T18:01:31.674000Z",
  "file_hash": "0fa6629866648d8b9e481c2ae532b729c24d9b78d434c3d6ebe3fb527e225e97",
  "private": false,
  "record": {
    "abstract": "We give an exposition of Plucker vectors for a system of joint axes in\nprojective 3-space. We use Plucker vectors to analyse dependencies among joint\naxes, and in particular show that two rotational joints rigidly joined by a bar\nand each with 3 degrees of freedom always forms a 5-dimensional system. We\nintroduce the concept of reduced redundancy in a dependent set of projective\nLines, and argue that reduced redundancy in the axes of a body position\nincreases injury risk. We apply this to a simple two-joint model of bowling in\ncricket, and show by analysis of some experimental data that reduced redundancy\naround ball release is observed in some cases.",
    "arxiv_id": "q-bio/0406024",
    "authors": [
      "Henri Laurie",
      "Rudi Penne"
    ],
    "categories": [
      "q-bio.QM",
      "q-bio.OT"
    ],
    "title": "Projective geometry for human motion, with an application to injury risk",
    "url": "https://arxiv.org/abs/q-bio/0406024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f1424d44-f54a-40da-818d-bf90e93c7846",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}