Resolution Analysis of Imaging with $\ell_1$ Optimization

DOI10.1137/15M1028881zbMath1333.35305arXiv1507.00586MaRDI QIDQ2797769

Liliana Borcea, Ilker Kocyigit

Publication date: 31 March 2016

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00586

zbMATH Keywords

sparse\(\ell_1\) optimizationarray imagingcumulative mutual coherence

Mathematics Subject Classification ID

Applications of PDEs on manifolds (58J90) Inverse problems for integral equations (45Q05) PDEs in connection with control and optimization (35Q93)

Related Items (7)

Coherent Imaging without Phases ⋮ The Noise Collector for sparse recovery in high dimensions ⋮ Nonlinear Iterative Hard Thresholding for Inverse Scattering ⋮ A Multiple Measurement Vector Approach to Synthetic Aperture Radar Imaging ⋮ Synthetic Aperture Imaging of Direction- and Frequency-Dependent Reflectivities ⋮ Imaging with highly incomplete and corrupted data ⋮ Imaging in Random Media with Convex Optimization

Uses Software

• CVX

Cites Work

• Unnamed Item
• Unnamed Item
• Imaging Strong Localized Scatterers with Sparsity Promoting Optimization
• Coherence Pattern–Guided Compressive Sensing with Unresolved Grids
• Compressed Remote Sensing of Sparse Objects
• A universal filter for enhanced imaging with small arrays
• On sparse reconstruction from Fourier and Gaussian measurements
• Decoding by Linear Programming
• Greed is Good: Algorithmic Results for Sparse Approximation
• Just relax: convex programming methods for identifying sparse signals in noise
• Compressive inverse scattering: I. High-frequency SIMO/MISO and MIMO measurements
• From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
• Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
• Sensitivity to Basis Mismatch in Compressed Sensing
• Robust imaging of localized scatterers using the singular value decomposition and ℓ ₁ minimization
• Sparse solutions to linear inverse problems with multiple measurement vectors
• Compressive radar with off-grid targets: a perturbation approach
• Edge Illumination and Imaging of Extended Reflectors
• Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ ¹ minimization
• Convex Analysis
• Multiple Scattering of Waves
• The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers
• Mathematics of multidimensional seismic imaging, migration, and inversion

This page was built for publication: Resolution Analysis of Imaging with $\ell_1$ Optimization