Geometric interpolation by planar cubic polynomial curves

  • Authors:
  • Jernej Kozak;Marjeta Krajnc

  • Affiliations:
  • FMF and IMFM, Jadranska 19, Ljubljana, Slovenia;IMFM, Jadranska 19, Ljubljana, Slovenia

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 2007

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Abstract

The purpose of this paper is to provide sufficient geometric conditions that imply the existence of a cubic parametric polynomial curve which interpolates six points in the plane. The conditions turn out to be quite simple and depend only on certain determinants derived from the data points.