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math.OC2020
TV-based Reconstruction of Periodic Functions
Julien Fageot, Matthieu Simeoni
We introduce a general framework for the reconstruction of periodic multivariate functions from finitely many and possibly noisy linear measurements. The reconstruction task is for…
math.OC2020
CPGD: Cadzow Plug-and-Play Gradient Descent for Generalised FRI
Matthieu Simeoni, Adrien Besson, Paul Hurley +1
Finite rate of innovation (FRI) is a powerful reconstruction framework enabling the recovery of sparse Dirac streams from uniform low-pass filtered samples. An extension of this fr…
math.OC2020
Functional Penalised Basis Pursuit on Spheres
Matthieu Simeoni
In this paper, we propose a unified theoretical and practical spherical approximation framework for functional inverse problems on the hypersphere. More specifically, we consider r…