\(\mathbb{P}_1\)-reproducing shape-preserving quasi-interpolant using positive quadratic splines with local support

DOI10.1016/S0377-0427(98)00259-3zbMath0934.65010MaRDI QIDQ1298399

Rossana Morandi, Christophe Rabut, Constanza Conti

Publication date: 3 April 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

shape preservingquadratic splinequasi-interpolant

Mathematics Subject Classification ID

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

Related Items (1)

Point data reconstruction and smoothing using cubic splines and clusterization

Uses Software

• pchip

Cites Work

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• An algorithm for computing shape-preserving interpolating splines of arbitrary degree
• Univariate multiquadric approximation: Quasi-interpolation to scattered data
• Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
• Piecewise \(C^ 1\)-shape-preserving Hermite interpolation
• Monotone Piecewise Cubic Interpolation
• A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures

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