Sampling the Fourier Transform Along Radial Lines
From MaRDI portal
Publication:4591214
DOI10.1137/16M1108807zbMath1377.65178arXiv1612.06752OpenAlexW2605215440MaRDI QIDQ4591214
Vincent Duval, Charles Dossal, Clarice Poon
Publication date: 13 November 2017
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.06752
algorithmFourier transformconvex optimizationtotal variation minimizationsuperresolutionFourier samples
Numerical mathematical programming methods (65K05) Convex programming (90C25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical methods for trigonometric approximation and interpolation (65T40)
Related Items
Generalized notions of sparsity and restricted isometry property. II: Applications ⋮ Dynamic Spike Superresolution and Applications to Ultrafast Ultrasound Imaging ⋮ On the linear convergence rates of exchange and continuous methods for total variation minimization ⋮ A Convex Approach to Superresolution and Regularization of Lines in Images
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Robust recovery of stream of pulses using convex optimization
- Exact reconstruction using Beurling minimal extrapolation
- Super-resolution from noisy data
- Exact recovery of Dirac ensembles from the projection onto spaces of spherical harmonics
- Exact support recovery for sparse spikes deconvolution
- Polyharmonic cardinal splines
- Parameter estimation for multivariate exponential sums
- How many Fourier samples are needed for real function reconstruction?
- Spike detection from inaccurate samplings
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Linear Inversion of Band-Limited Reflection Seismograms
- Atomic Decomposition by Basis Pursuit
- Atomic Norm Denoising With Applications to Line Spectral Estimation
- Compressive Two-Dimensional Harmonic Retrieval via Atomic Norm Minimization
- Splines Are Universal Solutions of Linear Inverse Problems with Generalized TV Regularization
- Adapting to unknown noise level in sparse deconvolution
- Super-resolution of point sources via convex programming
- Convergence rates of convex variational regularization
- Inverse problems in spaces of measures
- Compressed Sensing Off the Grid
- Sampling signals with finite rate of innovation
- Towards a Mathematical Theory of Super‐resolution
- On projections of probability distributions
- Compressed sensing
