Optimal Compressive Imaging of Fourier Data
From MaRDI portal
Publication:4686925
DOI10.1137/16M1098541zbMath1437.94043arXiv1510.05029OpenAlexW2963653880MaRDI QIDQ4686925
Publication date: 10 October 2018
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.05029
framessparse approximationshearletscompressed sensingsparse samplingfrequency measurementsanisotropic features
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Sampling theory in information and communication theory (94A20)
Related Items (9)
WARPd: A Linearly Convergent First-Order Primal-Dual Algorithm for Inverse Problems with Approximate Sharpness Conditions ⋮ Non-uniform recovery guarantees for binary measurements and infinite-dimensional compressed sensing ⋮ Do log factors matter? On optimal wavelet approximation and the foundations of compressed sensing ⋮ BREAKING THE COHERENCE BARRIER: A NEW THEORY FOR COMPRESSED SENSING ⋮ NESTANets: stable, accurate and efficient neural networks for analysis-sparse inverse problems ⋮ On Reconstructing Functions from Binary Measurements ⋮ On the stable sampling rate for binary measurements and wavelet reconstruction ⋮ Weak-Type Estimates for the Metaplectic Representation Restricted to the Shearing and Dilation Subgroup of $$SL(2,\mathbb {R})$$ ⋮ Recovering Wavelet Coefficients from Binary Samples Using Fast Transforms
Cites Work
- Unnamed Item
- Unnamed Item
- Dualizable shearlet frames and sparse approximation
- Compactly supported shearlets are optimally sparse
- Construction of compactly supported shearlet frames
- On minimal trajectories for mobile sampling of bandlimited fields
- Compressed sensing with structured sparsity and structured acquisition
- The cosparse analysis model and algorithms
- On optimal wavelet reconstructions from Fourier samples: linearity and universality of the stable sampling rate
- ShearLab 3D
- Introduction to Shearlets
- Shearlets and Optimally Sparse Approximations
- BREAKING THE COHERENCE BARRIER: A NEW THEORY FOR COMPRESSED SENSING
- An Analysis of Block Sampling Strategies in Compressed Sensing
- Alternating Direction Algorithms for $\ell_1$-Problems in Compressive Sensing
- Ten Lectures on Wavelets
- New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities
- Stable and Robust Sampling Strategies for Compressive Imaging
- Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements
- The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames
- Stable signal recovery from incomplete and inaccurate measurements
- Compressed sensing
- An introduction to frames and Riesz bases
- Sparse components of images and optimal atomic decompositions
This page was built for publication: Optimal Compressive Imaging of Fourier Data