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Shape-preserving \(C^ 2\) cubic polynomial interpolating splines. (English) Zbl 0731.65007

A direct inexpensive constructive method for interpolating convex monotonic data by shape-preserving \(C^ 2\) cubic polynomial splines is proposed. Whenever the corresponding polyhedron in \(R^ 2\) is nonempty, the method determines the two free parameters that occur in the classical cubic spline interpolation problem in such a way that the shape preserving conditions are ensured.

MSC:

65D07 Numerical computation using splines
65D05 Numerical interpolation
41A15 Spline approximation
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