Geodesic
Interpolating and smoothing biquadratic spline
Applications of Mathematics, Tome 40 (1995) no. 5, pp. 339-356.

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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.
DOI : 10.21136/AM.1995.134298
Classification : 41A05, 41A15, 65D05, 65D07
Keywords: quadratic spline; biquadratic spline; derivative; interpolation; smoothing 
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     author = {Ku\v{c}era, Radek},
     title = {Interpolating and smoothing biquadratic spline},
     journal = {Applications of Mathematics},
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Kučera, Radek. Interpolating and smoothing biquadratic spline. Applications of Mathematics, Tome 40 (1995) no. 5, pp. 339-356. doi : 10.21136/AM.1995.134298. http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134298/

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