Univariate cubic \(L_1\) interpolating splines: spline functional, window size and analysis-based algorithm
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Publication:1662557
DOI10.3390/a3030311zbMath1461.65016OpenAlexW2043189673MaRDI QIDQ1662557
John E. Lavery, Lu Yu, Shu-Cherng Fang, Qing-Wei Jin
Publication date: 20 August 2018
Published in: Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/a3030311
interpolationglobalfirst derivativelocally calculatedantiderivativesecond derivativeunivariate5-point windowcubic \(L_1\) splinefunction value
Numerical computation using splines (65D07) Interpolation in approximation theory (41A05) Spline approximation (41A15)
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Cites Work
- Unnamed Item
- Unnamed Item
- 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
- An efficient algorithm for generating univariate cubic \(L_1\) splines
- \(C^1\) and \(C^2\)-continuous polynomial parametric \(L_p\) splines (\(p\geq 1\))
- A compressed primal-dual method for generating bivariate cubic \(L_{1}\) splines
- Shape-preserving, multiscale fitting of univariate data by cubic \(L_1\) smoothing splines
- Univariate cubic \(L_1\) interpolating splines: analytical results for linearity, convexity and oscillation on 5-pointwindows
- A geometric programming framework for univariate cubic \(L_1\) smoothing splines
- Univariate cubic \(L_{p}\) splines and shape-preserving, multiscale interpolation by univariate cubic \(L_{1}\) splines
- Shape-preserving approximation of multiscale univariate data by cubic \(L_1\) spline fits
- On the cubic \(L_{1}\) spline interpolant to the Heaviside function
- 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
- Shape-preserving, multiscale interpolation by bi- and multivariate cubic \(L_{1}\) splines
