Some splines produced by smooth interpolation

Karel Segeth

Applied Mathematics and Computation, 2018, vol. 319, issue C, 387-394

Abstract: The spline theory can be derived from two sources: the algebraic one (where splines are understood as piecewise smooth functions satisfying some continuity conditions) and the variational one (where splines are obtained via minimization of some quadratic functionals with constraints). We show that the general variational approach called smooth interpolation introduced by Talmi and Gilat covers not only the cubic spline but also the tension spline (called also spline in tension or spline with tension) in one or more dimensions. We show the results of a 1D numerical example that present the advantages and drawbacks of the tension spline.

Keywords: Smooth data approximation; Smooth data interpolation; Cubic spline; Tension spline; Fourier series; Fourier transform (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:319:y:2018:i:c:p:387-394

DOI: 10.1016/j.amc.2017.04.022

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