Shape-preserving properties of univariate cubic \(L_{1}\) splines

DOI10.1016/j.cam.2004.05.003zbMath1068.41014OpenAlexW2008315844MaRDI QIDQ1765446

Hao Cheng, John E. Lavery, Shu-Cherng Fang

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.05.003

zbMATH Keywords

InterpolationConvexityShape preservationLinearityGeometric programmingCubic \(L_1\) spline

Mathematics Subject Classification ID

Approximation with constraints (41A29) Spline approximation (41A15)

Related Items (16)

On shape-preserving capability of cubic \(L^1\) spline fits ⋮ Approximating term structure of interest rates using cubic \(L_1\) splines ⋮ Univariate cubic \(L_1\) interpolating splines: analytical results for linearity, convexity and oscillation on 5-pointwindows ⋮ A compressed primal-dual method for generating bivariate cubic \(L_{1}\) splines ⋮ Sample-based polynomial approximation of rational Bézier curves ⋮ Shape-preserving univariate cubic and higher-degree \(L_{1}\) splines with function-value-based and multistep minimization principles ⋮ Fast \(L_1^kC^k\) polynomial spline interpolation algorithm with shape-preserving properties ⋮ Robust univariate spline models for interpolating interval data ⋮ Univariate cubic \(L _{1}\) interpolating splines based on the first derivative and on 5-point windows: analysis, algorithm and shape-preserving properties ⋮ Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization ⋮ Geometric dual formulation for first-derivative-based univariate cubic \(L_{1}\) splines ⋮ A geometric programming approach for bivariate cubic \(L_{1}\) splines ⋮ Shape-preserving, first-derivative-based parametric and nonparametric cubic \(L_{1}\) spline curves ⋮ \(C^1\) and \(C^2\)-continuous polynomial parametric \(L_p\) splines (\(p\geq 1\)) ⋮ A tutorial on geometric programming ⋮ Convexity-preserving approximation by univariate cubic splines

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