Geometric interpolation by planar cubic polynomial curves

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. Key words: polynomial curve, geometric interpolation, existence

• Type: Journal
• Year: 2007
• Where: CAGD
• Authors: Jernej Kozak, Marjeta Krajnc
• Keywords: CAGD 2007, Cubic Parametric Polynomial, Polynomial Curve, Sufficient Geometric Conditions