Interpolation by convex quadratic splines

Author:

McAllister David F.,Roulier John A.

Abstract

Algorithms are presented for computing a quadratic spline interpolant with variable knots which preserves the monotonicity and convexity of the data. It is also shown that such a spline may not exist for fixed knots.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference6 articles.

1. R. PETER DUBE, "Univariate blending functions and alternatives," Comput. Graphics and Image Processing, v. 6, 1977, pp. 394-408.

2. R. PETER DUBE, "Automatic generation of parameters for preliminary interactive design of free-form curves." (To appear.)

3. Algorithms for computing shape preserving spline interpolations to data;McAllister, David F.;Math. Comp.,1977

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