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Shape-Preserving C 2 Functional Interpolation via Parametric Cubics
Authors:P. Lamberti  C. Manni
Affiliation:(1) Department of Mathematics, University of Torino, Italy
Abstract:The paper proposes a method for the construction of a shape preserving C2 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.
Keywords:interpolation  shape-preserving  parametric curves
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