A geometric programming approach for bivariate cubic \(L_{1}\) splines

DOI10.1016/j.camwa.2004.11.003zbMath1083.41008OpenAlexW2025642674MaRDI QIDQ2485428

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

Publication date: 4 August 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.11.003

zbMATH Keywords

interpolationgeometric programmingbivariatespline functioncubic \(L_1\) spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical mathematical programming methods (65K05) Numerical optimization and variational techniques (65K10) Numerical interpolation (65D05) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (7)

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 ⋮ Univariate cubic \(L_1\) interpolating splines: spline functional, window size and analysis-based algorithm ⋮ A compressed primal-dual method for generating bivariate cubic \(L_{1}\) splines ⋮ Fast \(L_1^kC^k\) polynomial spline interpolation algorithm with shape-preserving properties ⋮ Univariate cubic \(L _{1}\) interpolating splines based on the first derivative and on 5-point windows: analysis, algorithm and shape-preserving properties

Uses Software

• FITPACK

Cites Work

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• Univariate cubic \(L_{p}\) splines and shape-preserving, multiscale interpolation by univariate cubic \(L_{1}\) splines
• Geometric Programming
• Fitting Monotone Surfaces to Scattered Data Using C1 Piecewise Cubics
• Symmetric Duality for Generalized Unconstrained Geometric Programming
• State Constraints in Convex Control Problems of Bolza
• Shape-preserving, multiscale interpolation by bi- and multivariate cubic \(L_{1}\) splines

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