A convexity-preserving \(C^ 2\) parametric rational cubic interpolation

DOI10.1007/BF01385853zbMath0763.41001OpenAlexW2003725072MaRDI QIDQ1195910

John C. Clements

Publication date: 2 February 1993

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133674

zbMATH Keywords

tension parametersparametric interpolationparametric rational cubic interpolant

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (7)

On fair parametric rational cubic curves ⋮ Visualization of 3D data preserving convexity ⋮ Shape-preserving piecewise rational interpolant with quartic numerator and quadratic denominator ⋮ Local convexity shape-preserving data visualization by spline function ⋮ Shape-preserving, first-derivative-based parametric and nonparametric cubic \(L_{1}\) spline curves ⋮ Shape-preserving piecewise rational interpolation with higher order continuity ⋮ Convexity-preserving approximation by univariate cubic splines

Uses Software

• pchip

Cites Work

• A simple rational spline and its application to monotonic interpolation to monotonic data
• A method for computing the tension parameters in convexitity-preserving spline-in-tension interpolation
• An algorithm for constructing convexity and monotonicity-preserving splines in tension
• Convexity-Preserving Piecewise Rational Cubic Interpolation
• Monotone Piecewise Cubic Interpolation
• Piecewise Rational Quadratic Interpolation to Monotonic Data
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