Shift-invariant spaces from rotation-covariant functions

DOI10.1016/j.acha.2007.11.002zbMath1257.42043OpenAlexW2158228464MaRDI QIDQ942159

Dimitri Van De Ville, Michael Unser, Thierry Blu, Brigitte Forster

Publication date: 4 September 2008

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://infoscience.epfl.ch/record/130358/files/forster0801.pdf

zbMATH Keywords

Riesz basismultiresolutionscaling functionsshift-invariant spacescomplex waveletstwo-scale relationrotation covariance

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Spline approximation (41A15) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (4)

The geometry and the analytic properties of isotropic multiresolution analysis ⋮ Shift-invariant spline subspaces of Sobolev spaces and their order of approximation ⋮ Splines and Multiresolution Analysis ⋮ On MRAs and prewavelets based on elliptic splines

Cites Work

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• 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
• Decomposition and reconstruction of multidimensional signals using polyharmonic pre-wavelets
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• Ten Lectures on Wavelets
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )

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