795 citations · 993 across the 20 of their papers we have counts for
6 papers · 1 filter
Multi-dimensional Sparse Super-resolution
Clarice Poon, Gabriel Peyré
This paper studies sparse super-resolution in arbitrary dimensions. More precisely, it develops a theoretical analysis of support recovery for the so-called BLASSO method, which is…
Sampling the Fourier transform along radial lines
Charles Dossal, Vincent Duval, Clarice Poon
This article considers the use of total variation minimization for the recovery of a superposition of point sources from samples of its Fourier transform along radial lines. We pre…
A practical guide to the recovery of wavelet coefficients from Fourier measurements
Milana Gataric, Clarice Poon
In a series of recent papers (Adcock, Hansen and Poon, 2013, Appl. Comput. Harm. Anal. 45(5):3132-3167), (Adcock, Gataric and Hansen, 2014, SIAM J. Imaging Sci. 7(3):1690-1723) and…
On the role of total variation in compressed sensing
Clarice Poon
This paper considers the problem of recovering a one or two dimensional discrete signal which is approximately sparse in its discrete gradient from an incomplete subset of its disc…
Beyond consistent reconstructions: optimality and sharp bounds for generalized sampling, and application to the uniform resampling problem
Ben Adcock, Anders C. Hansen, Clarice Poon
Generalized sampling is a recently developed linear framework for sampling and reconstruction in separable Hilbert spaces. It allows one to recover any element in any finite-dimens…
On optimal wavelet reconstructions from Fourier samples: linearity and universality of the stable sampling rate
Ben Adcock, Anders C. Hansen, Clarice Poon
In this paper we study the problem of computing wavelet coefficients of compactly supported functions from their Fourier samples. For this, we use the recently introduced framework…