Monotone and convex interpolation by weighted quadratic splines

DOI10.1007/s10444-013-9300-9zbMath1298.41012OpenAlexW2141137554MaRDI QIDQ457667

Boris I. Kvasov

Publication date: 29 September 2014

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-013-9300-9

zbMATH Keywords

adaptive choice of shape control parameterscontrol point approximation.monotone and convex interpolationweighted \(C^1\) quadratic splinesweighted B-splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Best approximation, Chebyshev systems (41A50) Spline approximation (41A15)

Related Items (12)

Shape preservingC²rational quartic interpolation spline with two parameters ⋮ Direction monotonicity for a rational Bézier curve ⋮ \(C^1\) sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree ⋮ Piecewise rational interpolation by witch of Agnesi ⋮ Cubic Hermite interpolation with minimal derivative oscillation ⋮ Cubic polynomial and cubic rational \(C^1\) sign, monotonicity and convexity preserving Hermite interpolation ⋮ Piecewise polynomial curves with normalized derivatives ⋮ Convexity and monotonicity properties of the local integro cubic spline ⋮ \(C^2\) rational quartic interpolation spline with local shape preserving property ⋮ \(C^2\) rational quartic/cubic spline interpolant with shape constraints ⋮ Shape-preserving piecewise rational interpolation with higher order continuity ⋮ Quartic rational Said-Ball-like basis with tension shape parameters and its application

Uses Software

• pchip

Cites Work

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• Monotone Piecewise Cubic Interpolation
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• Interpolation by Convex Quadratic Splines
• On Monotone and Convex Spline Interpolation
• A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
• Shape-preserving \(C^2\) functional interpolation via parametric cubics
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