{
  "id": "2001.09426",
  "version": "v1",
  "published": "2020-01-26T09:17:43.000Z",
  "updated": "2020-01-26T09:17:43.000Z",
  "title": "Convergence analysis of subdivision processes on the sphere",
  "authors": [
    "Svenja Hüning",
    "Johannes Wallner"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "This paper provides a strategy to analyse the convergence of nonlinear analogues of linear subdivision processes on the sphere. In contrast to previous work, we study the Riemannian analogue of a linear scheme on a Riemannian manifold with positive sectional curvature. Our result can be applied to all general subdivision schemes without any sign restriction on the mask.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-26T09:17:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convergence analysis",
      "general subdivision schemes",
      "linear subdivision processes",
      "riemannian analogue",
      "nonlinear analogues"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}