Geodesic
On the construction of interpolation mesh surfaces
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 11-15 
V. A. Lyul'ka; I. E. Mikhaǐlov; B. N. Tyumnev. On the construction of interpolation mesh surfaces. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 11-15. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A method for constructing two-dimensional interpolation mesh functions is proposed that is more flexible than the classical cubic spline method because it makes it possible to construct interpolation surfaces that fit the given function at specified points by varying certain parameters. The method is relatively simple and is well suited for practical implementation.

[1] Stechkin S. B., Subbotin Yu. N., Splainy v vychislitelnoi matematike, Nauka, M., 1976 | MR | Zbl

[2] Lyulka V. A., Romanko A. B., “Postroenie interpolyatsionnykh krivykh metodom setok”, Zh. vychisl. matem. i matem. fiz., 34:6 (1994), 827–836 | MR

[3] Lyulka V. A., Mikhailov I. E., “O postroenii interpolyatsionnykh krivykh”, Zh. vychisl. matem. i matem. fiz., 43:10 (2003), 1448–1450 | MR