An algorithm for computing shape-preserving cubic spline interpolation to data

DOI10.1007/BF02576168zbMath0568.65008OpenAlexW1993781413MaRDI QIDQ1060530

Paolo Giuseppe Costantini, Rossana Morandi

Publication date: 1984

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02576168

zbMATH Keywords

numerical examplesconvex dataconcave datamonotone datashape- preserving cubic splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05)

Related Items (8)

An algorithm for computing shape-preserving interpolating splines of arbitrary degree ⋮ Shape preserving approximations by polynomials and splines ⋮ Cubic polynomial and cubic rational \(C^1\) sign, monotonicity and convexity preserving Hermite interpolation ⋮ Multiple-cue saliency measurement and optimized image composition for image retargeting ⋮ A survey on univariate data interpolation and approximation by splines of given shape ⋮ Nonnegativity-, Monotonicity-, or Convexity-Preserving Cubic and Quintic Hermite Interpolation ⋮ Monotone and convex cubic spline interpolation ⋮ An energy-minimization framework for monotonic cubic spline interpolation

Uses Software

• pchip

Cites Work

• Monotone and convex cubic spline interpolation
• A practical guide to splines
• Monotone Piecewise Cubic Interpolation
• An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline
• Monotone and Convex Approximation by Splines: Error Estimates and a Curve Fitting Algorithm

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