A note on tension spline

0450756 - MÚ 2016 RIV CZ eng C - Conference Paper (international conference)
Segeth, Karel
A note on tension spline.
Applications of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015 - (Brandts, J.; Korotov, S.; Křížek, M.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 217-224. ISBN 978-80-85823-65-3.
[Applications of Mathematics 2015. Prague (CZ), 18.11.2015-21.11.2015]
R&D Projects: GA ČR GA14-02067S
Institutional support: RVO:67985840
Keywords : smooth interpolation * tension spline * Fourier transform
Subject RIV: BA - General Mathematics

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.
Permanent Link: http://hdl.handle.net/11104/0251971