Univariate cubic \(L_1\) interpolating splines: analytical results for linearity, convexity and oscillation on 5-pointwindows
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Publication:1662554
DOI10.3390/a3030276zbMath1461.65014OpenAlexW1999186482MaRDI QIDQ1662554
Shu-Cherng Fang, John E. Lavery, 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/a3030276
interpolationoscillationconvexitylinearitylocally calculatedunivariate5-point windowcubic \(L_1\) splinesecond-derivative-based
Numerical computation using splines (65D07) Interpolation in approximation theory (41A05) Spline approximation (41A15)
Related Items (5)
On shape-preserving capability of cubic \(L^1\) spline fits ⋮ Univariate cubic \(L_1\) interpolating splines: spline functional, window size and analysis-based algorithm ⋮ Data approximation by \(L^1\) spline fits with free knots ⋮ Univariate cubic \(L _{1}\) interpolating splines based on the first derivative and on 5-point windows: analysis, algorithm and shape-preserving properties ⋮ \(\ell\) major component detection and analysis (\(\ell^1\) MCDA): foundations in two dimensions
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