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Title: A note on tension spline (English)
Author: Segeth, Karel
Language: English
Journal: Application of Mathematics 2015
Volume: Proceedings. Prague, November 18-21, 2015
Issue: 2015
Pages: 217-224
Category: math
Summary: Spline theory is mainly grounded on two approaches: the algebraic one (where splines are understood as piecewise smooth functions) and the variational one (where splines are obtained via minimization of 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 well known tension spline (called also spline in tension or spline with tension). We present the results of a 1D numerical example that show the advantages and drawbacks of the tension spline. (English)
Keyword: smooth interpolation
Keyword: tension spline
Keyword: Fourier transform
MSC: 41A05
MSC: 65D05
MSC: 65D07
idZBL: Zbl 06669932
Date available: 2017-02-14T10:26:26Z
Last updated: 2017-03-20
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