Geodesic
The functional cubic interpolating spline of minimal reduced curvature
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 189-192.

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It is adduced the modified functional of energy of operator of differential equation of bend of beam for reception of functional cubic spline of piecewise constant rigidity. 
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A. S. Kretov; A. P. Pavlenko; V. F. Snigirev. The functional cubic interpolating spline of minimal reduced curvature. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 189-192. http://geodesic.mathdoc.fr/item/IIMI_2006_36_2_a43/

[1] Andreev V. A., Zvorykin V. A., Konorov L. A. i dr., Raschet i postroenie konturov samoleta na plaze, ed. S. S. Lenkov, Oborongiz, M., 1960, 492 pp.

[2] Vasilenko V. A., Splain-funktsii: teoriya, algoritmy, programmy, Nauka, Novosibirsk, 1983, 216 pp. | MR

[3] Snigirev V. F., “ Postroenie vyrozhdayuschikhsya splainov dlya resheniya zadach interpolirovaniya funktsii i geometricheskogo modelirovaniya linii”, Zhurn. vychislit. matematiki i mat. fiziki, 32:7 (1992), 1142–1143 | MR | Zbl