Scattered noisy Hermite data fitting using an extension of the weighted least squares method

DOI10.1016/j.camwa.2013.04.011zbMath1386.65078OpenAlexW2052877700MaRDI QIDQ2629447

Zhong Li, Tianhe Zhou

Publication date: 6 July 2016

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.04.011

zbMATH Keywords

bivariate splineextension of the weighted least squares methodscattered Hermite data with noise

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Spline approximation (41A15)

Related Items (2)

Scattered data fitting of Hermite type by a weighted meshless method ⋮ Construction of new cubic Bézier-like triangular patches with application in scattered data interpolation

Cites Work

• Error bounds for derivative estimates based on spline smoothing of exact or noisy data
• A weighted least squares method for scattered data fitting
• On the approximation power of bivariate splines
• Almost sure convergence of smoothing \(D^ m\)-splines of noisy data
• Bounds on projections onto bivariate polynomial spline spaces with stable local bases
• Approximation by smoothing variational vector splines for noisy data
• Energy minimization method for scattered data Hermite interpolation
• A Bound on the L ∞ -Norm of L 2 -Approximation by Splines in Terms of a Global Mesh Ratio
• On stable local bases for bivariate polynomial spline spaces
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