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McAllister, David F.; Roulier, John A.

Interpolation by convex quadratic splines. (English) Zbl 0398.41004

Math. Comput. 32, 1154-1162 (1978).
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Cited in 3 Reviews
Cited in 30 Documents

MSC:

41A05 Interpolation in approximation theory
41A15 Spline approximation
65D05 Numerical interpolation
65D07 Numerical computation using splines

Keywords:

Interpolation By Convex Quadratic Splines; Interpolation to Convex Data By a Convex Polynomial Spline; Algorithm for Interpolation

Citations:

Zbl 0371.65001; Zbl 0378.41002
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\textit{D. F. McAllister} and \textit{J. A. Roulier}, Math. Comput. 32, 1154--1162 (1978; Zbl 0398.41004)
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References:

[1] Практическое руководство по сплайнам, ”Радио и Связ\(^{\приме}\)”, Мосцощ, 1985 (Руссиан). Транслатед фром тхе Енглиш бы В. К. Галицкий анд С. А. Шестаков; Транслатион едитед анд щитх а префаце бы В. И. Скурихин.
[2] R. PETER DUBE, ”Univariate blending functions and alternatives,” Comput. Graphics and Image Processing, v. 6, 1977, pp. 394-408.
[3] R. PETER DUBE, ”Automatic generation of parameters for preliminary interactive design of free-form curves.” (To appear.)
[4] G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, New York-Chicago, Ill.-Toronto, Ont., 1966. · Zbl 0153.38901
[5] David F. McAllister, Eli Passow, and John A. Roulier, Algorithms for computing shape preserving spline interpolations to data, Math. Comp. 31 (1977), no. 139, 717 – 725. · Zbl 0371.65001
[6] Eli Passow and John A. Roulier, Monotone and convex spline interpolation, SIAM J. Numer. Anal. 14 (1977), no. 5, 904 – 909. · Zbl 0378.41002
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