A discrete wavelet transform without edge effects using wavelet extrapolation

DOI10.1007/BF02649105zbMath0880.42021OpenAlexW1994318837MaRDI QIDQ1370725

Kevin Amaratunga, John R. Williams

Publication date: 8 February 1998

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59515

zbMATH Keywords

discrete wavelet transformedge effectsbiorthogonal wavelet basesDaubechies' orthogonal waveletsimage and signal processing

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Computing methodologies for image processing (68U10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (10)

Higher-order wavelet reconstruction/differentiation filters and Gibbs phenomena ⋮ Thermal and tensile loading effects on size-dependent vibration response of traveling nanobeam by wavelet-based spectral element modeling ⋮ Wavelet transform with special boundary treatment for 1D data ⋮ Construction of multiwavelets on an interval ⋮ Wavelet based spectral finite element modelling and detection of de-lamination in composite beams ⋮ Regularity of boundary wavelets ⋮ Spectral formulation of finite element methods using Daubechies compactly-supported wavelets for elastic wave propagation simulation ⋮ New stable biorthogonal spline-wavelets on the interval ⋮ Study on vibration and stability of an axially translating viscoelastic Timoshenko beam: non-transforming spectral element analysis ⋮ A wavelet multi-scale method for the inverse problem of diffuse optical tomography

Cites Work

• A theory for multiresolution signal decomposition: the wavelet representation
• Orthonormal bases of compactly supported wavelets
• High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions
• Introduction to wavelets in engineering
• Unnamed Item

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