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Shape-preserving \(C^3\) interpolation: The curve case. (English) Zbl 1018.65017

The authors present a method for the construction of shape-preserving curves interpolating a set of 3D dats. They use “quintic-like” spaces of polynomials splines with variable degree. Finally they give some graphical examples.

MSC:

65D05 Numerical interpolation
65D17 Computer-aided design (modeling of curves and surfaces)
41A05 Interpolation in approximation theory
65D07 Numerical computation using splines
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