Construction of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines

DOI10.1016/j.cam.2011.07.002zbMath1231.65022OpenAlexW2067350870MaRDI QIDQ651110

Mira Bozzini, Milvia Rossini, N. Richter-Dyn

Publication date: 8 December 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.07.002

zbMATH Keywords

numerical examplesmultivariate interpolationradial basis functionapproximation orderhigh degree polynomial reproductionpolyharmonic splinesquasi-interpolation operatorsrate of decay at infinity

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05)

Related Items (9)

Properties of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines ⋮ A family of multivariate multiquadric quasi-interpolation operators with higher degree polynomial reproduction ⋮ Constructing radial kernels with higher-order generalized Strang-Fix conditions ⋮ A kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator with higher approximation order ⋮ Multiscale radial kernels with high-order generalized Strang-Fix conditions ⋮ Quasi-interpolation operators on hexagonal grids with high approximation orders in spaces of polyharmonic splines ⋮ On MRAs and prewavelets based on elliptic splines ⋮ Interpolation of data functions on parallel hyperplanes ⋮ A Novel Recursive Modification Framework for Enhancing Polynomial Reproduction Property of Interpolation Basis Functions

Uses Software

• Algorithm 792

Cites Work

• Polyharmonic cardinal splines
• Polyharmonic multiresolution analysis: An overview and some new results
• On the construction of polyharmonic \(B\)-splines
• Elementary \(m\)-harmonic cardinal B-splines
• High level \(m\)-harmonic cardinal B-splines
• On multivariate approximation by integer translates of a basis function
• Algorithm 792
• Unnamed Item

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