Efficient two-dimensional line spectrum estimation based on decoupled atomic norm minimization
This paper presents an efficient optimization technique for gridless 2-D line spectrum
estimation, named decoupled atomic norm minimization (D-ANM). The framework of atomic …
estimation, named decoupled atomic norm minimization (D-ANM). The framework of atomic …
[HTML][HTML] Off-the-grid variational sparse spike recovery: Methods and algorithms
Gridless sparse spike reconstruction is a rather new research field with significant results for
the super-resolution problem, where we want to retrieve fine-scale details from a noisy and …
the super-resolution problem, where we want to retrieve fine-scale details from a noisy and …
[HTML][HTML] On the linear convergence rates of exchange and continuous methods for total variation minimization
We analyze an exchange algorithm for the numerical solution total-variation regularized
inverse problems over the space M (\varOmega) M (Ω) of Radon measures on a …
inverse problems over the space M (\varOmega) M (Ω) of Radon measures on a …
B-spline-based exact discretization of continuous-domain inverse problems with generalized TV regularization
We study continuous-domain linear inverse problems with generalized total-variation (gTV)
regularization, expressed in terms of a regularization operator L. It has recently been proved …
regularization, expressed in terms of a regularization operator L. It has recently been proved …
Hybrid-spline dictionaries for continuous-domain inverse problems
We study one-dimensional continuous-domain inverse problems with multiple generalized
total-variation regularization, which involves the joint use of several regularization operators …
total-variation regularization, which involves the joint use of several regularization operators …
Dynamic spike superresolution and applications to ultrafast ultrasound imaging
We consider the dynamical superresolution problem consisting in the recovery of positions
and velocities of moving particles from low-frequency static measurements taken over …
and velocities of moving particles from low-frequency static measurements taken over …
A convex approach to superresolution and regularization of lines in images
We present a new convex formulation for the problem of recovering lines in degraded
images. Following the recent paradigm of superresolution, we formulate a dedicated atomic …
images. Following the recent paradigm of superresolution, we formulate a dedicated atomic …
Off-the-grid regularisation for Poisson inverse problems
Off-the-grid regularisation has been extensively employed over the last decade in the
context of ill-posed inverse problems formulated in the continuous setting of the space of …
context of ill-posed inverse problems formulated in the continuous setting of the space of …
Stable super-resolution of images: theoretical study
We study the ubiquitous super-resolution problem, in which one aims at localizing positive
point sources in an image, blurred by the point spread function of the imaging device. To …
point sources in an image, blurred by the point spread function of the imaging device. To …
Compressed sensing for analog signals
BG Bodmann, A Flinth, G Kutyniok - arXiv preprint arXiv:1803.04218, 2018 - arxiv.org
In this paper we develop a general theory of compressed sensing for analog signals, in
close similarity to prior results for vectors in finite dimensional spaces that are sparse in a …
close similarity to prior results for vectors in finite dimensional spaces that are sparse in a …