1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.OC2022★ 1 cited
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…
eess.SP2021
Continuous-Domain Formulation of Inverse Problems for Composite Sparse-Plus-Smooth Signals
Thomas Debarre, Shayan Aziznejad, Michael Unser
We present a novel framework for the reconstruction of 1D composite signals assumed to be a mixture of two additive components, one sparse and the other smooth, given a finite numb…