Smoothness estimates for soft-threshold denoising via translation-invariant wavelet transforms

DOI10.1006/acha.2001.0366zbMath0995.42023OpenAlexW2028328505MaRDI QIDQ1604496

Kathrin Berkner, Raymond O. jun. Wells

Publication date: 4 July 2002

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/55cb01359ac1791e8ca60c1ee4e4ddab14c47981

zbMATH Keywords

smoothnessautocorrelation functionssoft-thresholdingDonoho-Johnstone denoising modeltranslation-invariant discrete wavelet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)

Related Items (7)

DENOISING AND ENHANCEMENT OF MAMMOGRAPHIC IMAGES UNDER THE ASSUMPTION OF HETEROSCEDASTIC ADDITIVE NOISE BY AN OPTIMAL SUBBAND THRESHOLDING ⋮ Forecasting non-stationary time series by wavelet process modelling ⋮ The EM method in a probabilistic wavelet-based MRI denoising ⋮ CLT of wavelet estimator in semiparametric model with correlated errors ⋮ Functional concurrent hidden Markov model ⋮ Extreme value analysis of empirical frame coefficients and implications for denoising by soft-thresholding ⋮ Multiscale sharpening and smoothing in Besov spaces with applications to image enhancement

Cites Work

• Extremes and related properties of random sequences and processes
• Symmetric iterative interpolation processes
• The lifting scheme: A custom-design construction of biorthogonal wavelets
• Fast wavelet transforms and numerical algorithms I
• Ten Lectures on Wavelets
• The discrete wavelet transform: wedding the a trous and Mallat algorithms
• On the Representation of Operators in Bases of Compactly Supported Wavelets
• Ideal spatial adaptation by wavelet shrinkage
• De-noising by soft-thresholding
• Multiresolution representations using the autocorrelation functions of compactly supported wavelets
• Entropy-based algorithms for best basis selection
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Smoothness estimates for soft-threshold denoising via translation-invariant wavelet transforms