Wavelet domain signal deconvolution with singularity-preserving regularization

DOI10.1016/S0378-4754(02)00073-3zbMath1013.65144OpenAlexW2056673119MaRDI QIDQ1861336

C. Sánchez-Ávila

Publication date: 16 March 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(02)00073-3

zbMATH Keywords

waveletsalgorithmsinverse problemregularizationHilbert spaceedge detectiongeophysicsLipschitz regularityFredholm integral equations of the first kindsignal deconvolutiondiscrete ill-posed problemsPOCS methodspiky deconvolution

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Inverse problems in geophysics (86A22) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Numerical methods for inverse problems for integral equations (65R32) Inverse problems for integral equations (45Q05)

Related Items (3)

Numerical solution of Fredholm integral equations of the first kind by using Legendre wavelets ⋮ WAVELET-CONSTRAINED IMAGE RESTORATION ⋮ Numerical solution of Fredholm integral equations of the first kind by using linear Legendre multi-wavelets

Cites Work

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• Pointwise smoothness, two-microlocalization and wavelet coefficients
• A nonlinear adaptive wavelet-based method for spiky deconvolution.
• New POCS algorithms for regularization of inverse problems
• Singularity detection and processing with wavelets
• Solving Ill-Conditioned and Singular Linear Systems: A Tutorial on Regularization
• Piecewise Polynomial Solutions Without a priori Break Points
• Iterative Methods for Total Variation Denoising
• The method of projections for finding the common point of convex sets

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