104 citations · 117 across the 6 of their papers we have counts for
6 papers
TV-based Spline Reconstruction with Fourier Measurements: Uniqueness and Convergence of Grid-Based Methods
Thomas Debarre, Quentin Denoyelle, Julien Fageot
We study the problem of recovering piecewise-polynomial periodic functions from their low-frequency information. This means that we only have access to possibly corrupted versions…
Optimal-transport-based metric for SMLM
Quentin Denoyelle, Thanh-an Pham, Pol del Aguila Pla +2
We propose the use of Flat Metric to assess the performance of reconstruction methods for single-molecule localization microscopy (SMLM) in scenarios where the ground-truth is avai…
On the Uniqueness of Solutions for the Basis Pursuit in the Continuum
Thomas Debarre, Quentin Denoyelle, Julien Fageot
This paper studies the continuous-domain inverse problem of recovering Radon measures on the one-dimensional torus from low-frequency Fourier coefficients, where Kc is the cutoff f…
Sparsest Piecewise-Linear Regression of One-Dimensional Data
Thomas Debarre, Quentin Denoyelle, Michael Unser +1
We study the problem of one-dimensional regression of data points with total-variation (TV) regularization (in the sense of measures) on the second derivative, which is known to pr…
The Sliding Frank-Wolfe Algorithm and its Application to Super-Resolution Microscopy
Quentin Denoyelle, Vincent Duval, Gabriel Peyré +1
This paper showcases the theoretical and numerical performance of the Sliding Frank-Wolfe, which is a novel optimization algorithm to solve the BLASSO sparse spikes super-resolutio…
Support Recovery for Sparse Deconvolution of Positive Measures
Quentin Denoyelle, Vincent Duval, Gabriel Peyré
We study sparse spikes deconvolution over the space of Radon measures on or when the input measure is a finite sum of positive Dirac masses using the BLAS…