Multi-frame representations in linear inverse problems with mixed multi-constraints

DOI10.1016/j.acha.2006.05.003zbMath1144.94002OpenAlexW2082352113MaRDI QIDQ861808

Gerd Teschke

Publication date: 2 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.acha.2006.05.003

zbMATH Keywords

linear operator equationsshrinkageimage restorationsparsityaudio codingmulti-frames

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) General harmonic expansions, frames (42C15)

Related Items (15)

An efficient projection method for nonlinear inverse problems with sparsity constraints ⋮ Geometric separation of singularities using combined multiscale dictionaries ⋮ Multi-component separation, inpainting and denoising with recovery guarantees ⋮ Multi-parameter Tikhonov regularization and model function approach to the damped Morozov principle for choosing regularization parameters ⋮ Geometric separation in \(\mathbb{R}^3\) ⋮ Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles ⋮ An iterative thresholding algorithm for linear inverse problems with multi-constraints and its applications ⋮ Compressed Sensing with Nonlinear Fourier Atoms ⋮ Iterative thresholding algorithms ⋮ Microlocal Analysis of the Geometric Separation Problem ⋮ Compressed sensing for quaternionic signals ⋮ Coorbit theory, multi-\(\alpha \)-modulation frames, and the concept of joint sparsity for medical multichannel data analysis ⋮ Sparse regression using mixed norms ⋮ Accelerated projected gradient method for linear inverse problems with sparsity constraints ⋮ Frame decompositions of bounded linear operators in Hilbert spaces with applications in tomography

Uses Software

• PDCO

Cites Work

• A hybrid scheme for encoding audio signal using hidden Markov models of waveforms
• Hybrid representations for audiophonic signal encoding
• Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising
• Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA)
• Image decomposition via the combination of sparse representations and a variational approach
• Atomic Decomposition by Basis Pursuit
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• TIME-FREQUENCY JIGSAW PUZZLE: ADAPTIVE MULTIWINDOW AND MULTILAYERED GABOR EXPANSIONS
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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