Iterative regularization and inverse scale space methods with wave atoms

DOI10.1080/00036810903329928zbMath1220.94007OpenAlexW1964466634WikidataQ58255031 ScholiaQ58255031MaRDI QIDQ5199480

Xiang Chu Feng, Guo-jun Liu, Wei-wei Wang

Publication date: 16 August 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903329928

zbMATH Keywords

iterative regularizationshrinkagesparsityBregman distanceinverse scale spacewave atoms

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical optimization and variational techniques (65K10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Uses Software

• PDCO

Cites Work

• Nonlinear total variation based noise removal algorithms
• Wave atoms and sparsity of oscillatory patterns
• Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising
• Atomic Decomposition by Basis Pursuit
• Why Simple Shrinkage Is Still Relevant for Redundant Representations?
• Variational Analysis
• New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
• Local Strong Homogeneity of a Regularized Estimator
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• ITERATIVE REGULARIZATION AND NONLINEAR INVERSE SCALE SPACE BASED ON TRANSLATION INVARIANT WAVELET SHRINKAGE
• An Iterative Regularization Method for Total Variation-Based Image Restoration
• Fast Discrete Curvelet Transforms

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