{
  "id": "2003.11527",
  "version": "v1",
  "published": "2020-03-25T17:46:15.000Z",
  "updated": "2020-03-25T17:46:15.000Z",
  "title": "An Implicit Representation of Swept Volumes based on Local Shapes and Movements",
  "authors": [
    "Clément Laroche"
  ],
  "categories": [
    "cs.CG"
  ],
  "abstract": "We introduce a new way to implicitly represent swept volumes in 3D. We first implicitize the base volume and then apply the time-dependent rigid transformation to build an implicit representation of the swept volume. This way, we build a fitting representation, where geometric details generated by the rigid transformation and details of the base volume itself are both taken into account. This representation relies on a partition of a boundary box of the swept volume according to portions of the space related either to parts of the base volume or to time span of the transformation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-25T17:46:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "implicit representation",
      "local shapes",
      "base volume",
      "time-dependent rigid transformation",
      "implicitly represent swept volumes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}