Interpolating and smoothing biquadratic spline
Applications of Mathematics (1995)
- Volume: 40, Issue: 5, page 339-356
- ISSN: 0862-7940
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topKučera, Radek. "Interpolating and smoothing biquadratic spline." Applications of Mathematics 40.5 (1995): 339-356. <http://eudml.org/doc/32923>.
@article{Kučera1995,
abstract = {The paper deals with the biquadratic splines and their use for the interpolation in two variables on the rectangular mesh. The possibilities are shown how to interpolate function values, values of the partial derivative or values of the mixed derivative. Further, the so-called smoothing biquadratic splines are defined and the algorithms for their computation are described. All of these biquadratic splines are derived by means of the tensor product of the linear spaces of the quadratic splines and their bases are given by the so-called fundamental splines.},
author = {Kučera, Radek},
journal = {Applications of Mathematics},
keywords = {quadratic spline; biquadratic spline; derivative; interpolation; smoothing; smoothing; biquadratic splines; interpolation; quadratic splines},
language = {eng},
number = {5},
pages = {339-356},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Interpolating and smoothing biquadratic spline},
url = {http://eudml.org/doc/32923},
volume = {40},
year = {1995},
}
TY - JOUR
AU - Kučera, Radek
TI - Interpolating and smoothing biquadratic spline
JO - Applications of Mathematics
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 5
SP - 339
EP - 356
AB - The paper deals with the biquadratic splines and their use for the interpolation in two variables on the rectangular mesh. The possibilities are shown how to interpolate function values, values of the partial derivative or values of the mixed derivative. Further, the so-called smoothing biquadratic splines are defined and the algorithms for their computation are described. All of these biquadratic splines are derived by means of the tensor product of the linear spaces of the quadratic splines and their bases are given by the so-called fundamental splines.
LA - eng
KW - quadratic spline; biquadratic spline; derivative; interpolation; smoothing; smoothing; biquadratic splines; interpolation; quadratic splines
UR - http://eudml.org/doc/32923
ER -
References
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- Methods of Spline Functions, Nauka, Moscow, 1980. (Russian) (1980) MR0614595
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