Geodesic
A method of generating an interpolating curve with piecewise sign-constant curvature
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 941-944 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method of interpolating a function of one variable whose values and first derivatives are fixed at the end-points of an interval is described. The solution of the problem is a one-parameter family of second-order curves. An example of the application of the method to the global construction of an interpolating curve is given. 
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V. L. Murashko; I. L. Osipov. A method of generating an interpolating curve with piecewise sign-constant curvature. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 941-944. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_6_a12/

[1] Passow E., Boulier J. A., “Monotone and convex spline interpolation”, SIAM. J. Numer. Analys., 14:5 (1977), 904–905 | DOI | MR

[2] Rumyantsev I. A., “Lokalnaya interpolyatsionnaya krivaya s zadannoi stepenyu gladkosti, sokhranyayuschaya postoyannyi znak krivizny”, Zh. vychisl. matem. i matem. fiz., 23:2 (1983), 290–300 | MR | Zbl

[3] Aronov B. M., Zhukovskii M. I., Zhuravlev V. A., Profilirovanie lopatok aviatsionnykh gazovykh turbin, Mashinostr., M., 1975

[4] Zhuravlev V. A., “Profilirovanie lopatok gazovoi turbiny s primeneniem tsifrovoi elektronnoi mashiny”, Izv. AN SSSR. OTN. Energetika i transport, 1963, no. 1, 72–77