The Projection Method for Multidimensional Framelet and Wavelet Analysis

DOI10.1051/MMNP/20149506zbMath1303.42018OpenAlexW2029273427MaRDI QIDQ2933096

Bin Han

Publication date: 10 December 2014

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://www.mmnp-journal.org/10.1051/mmnp/20149506/pdf

zbMATH Keywords

Fourier transformprojection methodwavelets and frameletsdual framelet filter banksinterpolatory filtersnonhomogeneous and homogeneous affine systemsorthonormal filters, frequency-based dual frameletstight framelets from box splines

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (10)

New constructions of nonseparable tight wavelet frames ⋮ Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions ⋮ Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness ⋮ Directional compactly supported box spline tight framelets with simple geometric structure ⋮ On construction of multivariate Parseval wavelet frames ⋮ Tight Wavelet Frames with Matrix Dilations ⋮ Homogeneous wavelets and framelets with the refinable structure ⋮ Compactly supported tight and sibling frames based on generalized Bernstein polynomials ⋮ Duality for frames ⋮ Multivariate quasi-tight framelets with high balancing orders derived from any compactly supported refinable vector functions

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