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Title: Interpolating and smoothing biquadratic spline (English)
Author: Kučera, Radek
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940
Volume: 40
Issue: 5
Year: 1995
Pages: 339-356
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: quadratic spline
Keyword: biquadratic spline
Keyword: derivative
Keyword: interpolation
Keyword: smoothing
MSC: 41A05
MSC: 41A15
MSC: 65D05
MSC: 65D07
idZBL: Zbl 0835.41016
idMR: MR1342364
Date available: 2009-09-22T17:48:42Z
Last updated: 2012-05-06
Stable URL:
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