Convexity-Preserving Piecewise Rational Cubic Interpolation

DOI10.1137/0727059zbMath0702.65010OpenAlexW2006922601MaRDI QIDQ3481146

John C. Clements

Publication date: 1990

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0727059

zbMATH Keywords

algorithmlocal convexity/concavitypiecewise rational cubic interpolant

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (9)

Approximation and interpolation by convexity-preserving rational splines ⋮ Staircase algorithm and construction of convex spline interpolants up to the continuity \(C^3\) ⋮ Constructive methods in convex \(C^ 2\) interpolation using quartic splines ⋮ Cubic Hermite interpolation with minimal derivative oscillation ⋮ Shape-preserving piecewise rational interpolant with quartic numerator and quadratic denominator ⋮ Near-optimal tension parameters in convexity preserving interpolation by generalized cubic splines ⋮ A convexity-preserving \(C^ 2\) parametric rational cubic interpolation ⋮ Shape-preserving piecewise rational interpolation with higher order continuity ⋮ Convexity-preserving approximation by univariate cubic splines

This page was built for publication: Convexity-Preserving Piecewise Rational Cubic Interpolation