@article{M2AN_1998__32_6_729_0, author = {Tijini, Ahmed and Sablonni\`ere, Paul}, title = {Approximation de contours convexes par des splines param\'etr\'ees p\'eriodiques convexes $C^1$, quadratiques ou cubiques}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {32}, year = {1998}, pages = {729-746}, mrnumber = {1652597}, zbl = {0918.65009}, language = {fr}, url = {http://dml.mathdoc.fr/item/M2AN_1998__32_6_729_0} }
Tijini, Ahmed; Sablonnière, Paul. Approximation de contours convexes par des splines paramétrées périodiques convexes $C^1$, quadratiques ou cubiques. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 32 (1998) pp. 729-746. http://gdmltest.u-ga.fr/item/M2AN_1998__32_6_729_0/
[1] Interpolation by convex quadratic splines, Math. of Computation, 32 (1978), 1154-1164. | MR 481734 | Zbl 0398.41004
and ,[2] An algorithm for Computing a shape-preserving osculatory quadratic spline, A.C.M. Trans. Math. Software, 7 (1981), 331-347. | MR 630439 | Zbl 0464.65003
and ,[3] Convex interpolating splines of arbitrary degree II, BIT, 22 (1982), 331-338. | MR 675667 | Zbl 0559.41005
,[4] Convex cubic Hermite spline interpolation, J. Comput. Appl. Math., 9 (1983), 205-211. | MR 715537 | Zbl 0523.65006
,[5] Convex interpolating splines of arbitrary degree. In Numencal Methods of Approximation Theory V. L. Collatz, G. Meinardus, H. Werner (eds.), Birkhäuser, Basel (1980), 211-222. | MR 573770 | Zbl 0436.41001
,[6] Monotonie and convex spline interpolation, SIAM J. of Numerical Analysis, 14 (1977), 904-909. | MR 470566 | Zbl 0378.41002
and ,[7] On shape preserving quadratic spline interpolation, SIAM J. of Numerical Analysis, 20 (1980), 854-864. | MR 708462 | Zbl 0521.65009
,[8] On the influence of parametrisation in parametric interpolation, SIAM Journal of Numerical Analysis, vol. 13, N° 2 (avril 1976), 261-268. | MR 445783 | Zbl 0319.41005
,[9] Splines cubiques généralisées. Thèse de 3e cycle, INSA de Rennes (1987).
,