Original title: A particular smooth interpolation that generates splines
Authors: Segeth, Karel
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics /18./, Janov nad Nisou (CZ), 20160619
Year: 2017
Language: eng
Abstract: There are two grounds the spline theory stems from -- 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 use the general variational approach called $it smooth interpolation$ introduced by Talmi and Gilat and show that it covers not only the cubic spline and its 2D and 3D analogues but also the well known tension spline (called also spline with tension). We present the results of a 1D numerical example that characterize some properties of the tension spline.
Keywords: data interpolation; smooth interpolation; spline interpolation
Project no.: GA14-02067S (CEP)
Funding provider: GA ČR
Host item entry: Programs and algorithms of numerical mathematics 18, ISBN 978-80-85823-67-7
Note: Související webová stránka: http://hdl.handle.net/10338.dmlcz/703005

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/11104/0272303

Permalink: http://www.nusl.cz/ntk/nusl-354696


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