A note on tension spline

Segeth, Karel. "A note on tension spline." Application of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015. 217-224. <http://eudml.org/doc/287813>.

@inProceedings{Segeth2015,
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.},
author = {Segeth, Karel},
booktitle = {Application of Mathematics 2015},
keywords = {smooth interpolation; tension spline; Fourier transform},
location = {Prague},
pages = {217-224},
publisher = {Institute of Mathematics CAS},
title = {A note on tension spline},
url = {http://eudml.org/doc/287813},
year = {2015},
}

TY - CLSWK
AU - Segeth, Karel
TI - A note on tension spline
T2 - Application of Mathematics 2015
PY - 2015
CY - Prague
PB - Institute of Mathematics CAS
SP - 217
EP - 224
AB - 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.
KW - smooth interpolation; tension spline; Fourier transform
UR - http://eudml.org/doc/287813
ER -