Abstract
The paper proposes a method for the construction of a shape preserving C 2 function interpolating a given set of data. The constructed interpolant is a parametric cubic curve. The shape of the curve can be easily controlled via tension parameters which have an immediate geometric interpretation. The approximation order is investigated and numerical examples are presented.
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Lamberti, P., Manni, C. Shape-Preserving C 2 Functional Interpolation via Parametric Cubics. Numerical Algorithms 28, 229–254 (2001). https://doi.org/10.1023/A:1014011303076
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DOI: https://doi.org/10.1023/A:1014011303076