Smooth tight frame wavelets and image microanalysis in the Fourier domain

DOI10.1016/S0898-1221(03)00136-6zbMath1044.42027MaRDI QIDQ1827240

Rémi Vaillancourt, Christopher Heil, S. J. Desjardins, Michihiro Nagase, Ryuichi Ashino

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

multiresolution analysiswavelet framesscaling functionsmicrolocal analysislocalization of singularityorthogonal multiwaveletsParseval wavelet framessmooth tight frame

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (6)

Blind image source separations by wavelet analysis ⋮ Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for \(L^2(\mathbb R{^d})\) ⋮ Wavelet transform on the torus: a group theoretical approach ⋮ On the double windowed ridgelet transform and its inverse ⋮ Continuous Multiwavelet Transform for Blind Signal Separation ⋮ On directional frames having Lipschitz continuous Fourier transforms

Cites Work

• A discrete transform and decompositions of distribution spaces
• The theory of multiresolution analysis frames and applications to filter banks
• A characterization of functions that generate wavelet and related expansion
• Deficits and excesses of frames
• Painless nonorthogonal expansions
• Ten Lectures on Wavelets
• Continuous and Discrete Wavelet Transforms
• Microlocal filtering with multiwavelets
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