Original title: A note on tension spline
Authors: Segeth, Karel
Document type: Papers
Conference/Event: Applications of Mathematics 2015, Prague (CZ), 2015-11-18 / 2015-11-21
Year: 2015
Language: eng
Abstract: 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.
Keywords: Fourier transform; smooth interpolation; tension spline
Project no.: GA14-02067S (CEP)
Funding provider: GA ČR
Host item entry: Applications of Mathematics 2015, ISBN 978-80-85823-65-3

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0251971

Permalink: http://www.nusl.cz/ntk/nusl-201027


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