Quaternionic Wavelets

DOI10.1080/01630563.2012.682140zbMath1254.42045OpenAlexW4239705010MaRDI QIDQ2919991

Andrew J. Morris, Jeff A. Hogan

Publication date: 23 October 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2012.682140

zbMATH Keywords

Fourier transformquaternionsbiorthogonal waveletsorthogonal waveletscolor images

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (7)

Multidimensional quaternionic Gabor transforms ⋮ Quaternionic B-splines ⋮ Splines and fractional differential operators ⋮ Lifting of quaternionic frames to higher dimensions with partial ridges ⋮ Quaternionic fundamental cardinal splines: interpolation and sampling ⋮ Quaternionic Stockwell transform ⋮ New criterion for the analyticity of functions: representation via the metric tensors of the surfaces \(Z = u\) and \(Z = v\)

Cites Work

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• Special functions in Clifford analysis and axial symmetry
• Clifford analysis: History and perspective
• The two-dimensional Clifford-Fourier transform
• The Clifford-Fourier transform
• An elementary proof of the Paley–Wiener theorem in C^m
• Tight frames of compactly supported affine wavelets
• Hypercomplex Fourier Transforms of Color Images
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• Biorthogonal bases of compactly supported wavelets
• Self-similarity and multiwavelets in higher dimensions
• Hypercomplex signals-a novel extension of the analytic signal to the multidimensional case
• Quaternions and matrices of quaternions

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