{
  "id": "1606.05306",
  "version": "v1",
  "published": "2016-06-16T18:30:56.000Z",
  "updated": "2016-06-16T18:30:56.000Z",
  "title": "Exact Recovery of Discrete Measures from Wigner D-Moments",
  "authors": [
    "F. Filbir",
    "K. Schröder"
  ],
  "comment": "53 pages",
  "categories": [
    "math.NA",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "In this paper, we show the possibility of recovering a sum of Dirac measures on the rotation group $SO(3)$ from its low degree moments with respect to Wigner D-functions only. The main Theorem of the paper states, that exact recovery from moments up to degree $N$ is possible, if the support set of the measure obeys a separation distance of $\\frac{36}{N+1}$. In this case, the sought measure is the unique solution of a total variation minimization. The proof of the uniqueness requires localization estimates for interpolation kernels and corresponding derivatives on the rotation group $SO(3)$ with explicit constants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-16T18:30:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact recovery",
      "discrete measures",
      "wigner d-moments",
      "rotation group",
      "low degree moments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 53,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}