A note on tension spline

0450756 - MÚ 2016 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
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]
Grant CEP: GA ČR GA14-02067S
Institucionální podpora: RVO:67985840
Klíčová slova: smooth interpolation * tension spline * Fourier transform
Kód oboru RIV: BA - Obecná matematika

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.
Trvalý link: http://hdl.handle.net/11104/0251971