Quentin Alain Denoyelle

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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 of the Fourier samples of the ground truth up to a maximum cutoff frequency ...

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-resolution problem. The BLASSO is a continuous (i.e. off-the-grid or grid-less) count ...

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 available. Flat Metric is intimately related to the concept of optimal transport ...

This paper showcases the Sliding Frank-Wolfe (SFW), which is a novel optimization algorithm to solve the BLASSO sparse spikes super-resolution problem. The BLASSO is the continuous (i.e. off-thegrid or grid-less) counterpart of the well-known `1 sparse reg ...

Quentin Alain Denoyelle

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TV-based spline reconstruction with Fourier measurements: Uniqueness and convergence of grid-based methods

The sliding Frank-Wolfe algorithm and its application to super-resolution microscopy

Optimal-Transport-Based Metric for SMLM

The Sliding Frank-Wolfe Algorithm for the BLASSO