A transfinite form of Sibson's interpolant

L. Gross, G. Farin

Research output: Contribution to journalConference articlepeer-review

11 Scopus citations


Sibson's interpolant uses Voronoi diagrams in the plane to interpolate a set of scattered data points. This paper presents an extension of this method to handle the interpolation of a set of functional curves (transfinite surface interpolation). We derive a simple formula for this new surface type which can interpolate to any number of boundary curves. In addition, a unique surface may be created from a set of discontinuous curves. Finally, we present a form of the interpolant which uses convex or concave polygonal domains.

Original languageEnglish (US)
Pages (from-to)33-50
Number of pages18
JournalDiscrete Applied Mathematics
Issue number1
StatePublished - Apr 15 1999
EventProceedings of the 1997 13th European Workshop on Computational Geometry, CG-97 - Wuerzburg, Germany
Duration: Mar 20 1997Mar 21 1997

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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