Bounds on the k-Neighborhood for Locally Uniformly Sampled Surfaces (Englisch)

In: Symposium on Point - Based Graphics   ;  167-171  ;  2004

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Given a locally uniform sample set P of a smooth surface S. We derive upper and lower bounds on the number k of nearest neighbors of a sample point p that have to be chosen from P such that this neighborhood contains all restricted Delaunay neighbors of p. In contrast to the trivial lower bound, the upper bound indicates that a sampling condition that is used in many computational geometry proofs is quite reasonable from a practical point of view.

  • Titel:
    Bounds on the k-Neighborhood for Locally Uniformly Sampled Surfaces
  • Autor / Urheber:
  • Erschienen in:
  • Verlag:
    The Eurographics Association
  • Erscheinungsort:
    Postfach 8043, 38621 Goslar, Germany
  • Erscheinungsjahr:
    2004
  • Format / Umfang:
    5 pages
  • ISBN:
  • ISSN:
  • DOI:
  • Medientyp:
    Aufsatz (Konferenz)
  • Format:
    Elektronische Ressource
  • Sprache:
    Englisch
  • Datenquelle:
  • Exportieren:
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