Some splines produced by smooth interpolation

0480816 - MÚ 2018 RIV US eng J - Článek v odborném periodiku
Segeth, Karel
Some splines produced by smooth interpolation.
Applied Mathematics and Computation. Roč. 319, 15 February (2018), s. 387-394. ISSN 0096-3003. E-ISSN 1873-5649
Grant CEP: GA ČR GA14-02067S
Institucionální podpora: RVO:67985840
Klíčová slova: smooth data approximation * smooth data interpolation * cubic spline
Obor OECD: Applied mathematics
Impakt faktor: 3.092, rok: 2018
http://www.sciencedirect.com/science/article/pii/S0096300317302746?via%3Dihub

The spline theory can be derived from two sources: 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 show that the general variational approach called smooth interpolation introduced by Talmi and Gilat covers not only the cubic spline but also the tension spline (called also spline in tension or spline with tension) in one or more dimensions. We show the results of a 1D numerical example that present the advantages and drawbacks of the tension spline.
Trvalý link: http://hdl.handle.net/11104/0276492