Some simple Haar-type wavelets in higher dimensions

DOI10.1007/BF02922084zbMath1124.42026MaRDI QIDQ881448

Benjamin D. Robinson, Edward N. Wilson, Ilya A. Krishtal, Guido Weiss

Publication date: 30 May 2007

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (16)

Directional Haar wavelet frames on triangles ⋮ Equations for frame wavelets in \(L^2(\mathbb R^2)\) ⋮ Some crystallographic Haar type composite dilation wavelets for P4 = C4 ⋉ ℤ2 ⋮ Minimally supported frequency composite dilation wavelets ⋮ Multiresolution analysis applied to the Monge-Kantorovich problem ⋮ Refinable functions for dilation families ⋮ Wavelets with crystal symmetry shifts ⋮ Crystallographic Haar wavelets ⋮ Sparse directional image representations using the discrete shearlet transform ⋮ Matricial filters and crystallographic composite dilation wavelets ⋮ A simple quincunx wavelet with support on triangles ⋮ Rotation invariant, Riesz bases of directional wavelets ⋮ Directional multiscale processing of images using wavelets with composite dilations ⋮ TIGHT FRAME CHARACTERIZATION OF MULTIWAVELET VECTOR FUNCTIONS IN TERMS OF THE POLYPHASE MATRIX ⋮ Crystallographic multiwavelets in $L^2(\mathbb {R}^d)$ ⋮ Wavelet Sets for Crystallographic Groups

Cites Work

• Unnamed Item
• Accuracy of lattice translates of several multidimensional refinable functions
• Single wavelets in \(n\)-dimensions
• Construction of bivariate compactly supported biorthogonal box spline wavelets with arbitrarily high regularities
• Haar-type multiwavelet bases and self-affine multi-tiles
• Wavelets with composite dilations and their MRA properties
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• Arbitrarily Smooth Orthogonal Nonseparable Wavelets in $\R^2$
• Wavelets with composite dilations
• Self-similarity and multiwavelets in higher dimensions

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