An approximation problem of noisy data by cubic and bicubic splines

DOI10.1016/J.APM.2011.11.043zbMath1252.65032OpenAlexW2046255378MaRDI QIDQ693540

Miguel Pasadas, Abdelouahed Kouibia

Publication date: 7 December 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.11.043

zbMATH Keywords

smoothingapproximationbicubic splinefairness splinevariational implicit surface

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items (2)

Families of non-linear subdivision schemes for scattered data fitting and their non-tensor product extensions ⋮ ON SOME GENERALIZATION OF SMOOTHING PROBLEMS

Cites Work

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• Local hybrid approximation for scattered data fitting with bivariate splines
• Convergence rates for multivariate smoothing spline functions
• Almost sure convergence of smoothing \(D^ m\)-splines of noisy data
• Approximation of surfaces by fairness bicubic splines
• Local asymptotics for polynomial spline regression
• Error bounds for minimal energy bivariate polynomial splines
• Smoothing variational splines
• Approximation by discrete variational splines
• Fonctions 'spline' definies sur un ensemble convexe
• A Domain Decomposition Method for Computing Bivariate Spline Fits of Scattered Data

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