On the construction of polyharmonic \(B\)-splines

DOI10.1016/j.cam.2007.10.022zbMath1152.65023OpenAlexW2071228743MaRDI QIDQ950193

Milvia Rossini

Publication date: 22 October 2008

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.2007.10.022

zbMATH Keywords

waveletsnumerical examplessubdivisionrefinement equation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical methods for wavelets (65T60) Spline approximation (41A15)

Related Items (7)

Kernel B-splines on general lattices ⋮ Properties of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines ⋮ Construction of generators of quasi-interpolation operators of high approximation orders in spaces of polyharmonic splines ⋮ Polyharmonic multiresolution analysis: An overview and some new results ⋮ Quasi-interpolation operators on hexagonal grids with high approximation orders in spaces of polyharmonic splines ⋮ Polyharmonic splines: an approximation method for noisy scattered data of extra-large size ⋮ On MRAs and prewavelets based on elliptic splines

Cites Work

• Polyharmonic cardinal splines
• Elementary \(m\)-harmonic cardinal B-splines
• High level \(m\)-harmonic cardinal B-splines
• Using the refinement equation for the construction of pre-wavelets. III: Elliptic splines
• Finite orthogonal transforms and multiresolution analyses on intervals
• Decomposition and reconstruction of multidimensional signals using polyharmonic pre-wavelets
• Multiresolution methods in scattered data modelling.
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