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Shortest-support Multi-Spline Bases for Generalized Sampling
Alexis Goujon, Shayan Aziznejad, Alireza Naderi +1
Generalized sampling consists in the recovery of a function , from the samples of the responses of a collection of linear shift-invariant systems to the input . The reconstru…
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…
Robust Phase Unwrapping via Deep Image Prior for Quantitative Phase Imaging
Fangshu Yang, Thanh-an Pham, Nathalie Brandenberg +3
Quantitative phase imaging (QPI) is an emerging label-free technique that produces images containing morphological and dynamical information without contrast agents. Unfortunately,…
Duality Mapping for Schatten Matrix Norms
Shayan Aziznejad, Michael Unser
In this paper, we fully characterize the duality mapping over the space of matrices that are equipped with Schatten norms. Our approach is based on the analysis of the saturation o…
Generating Sparse Stochastic Processes Using Matched Splines
Leello Dadi, Shayan Aziznejad, Michael Unser
We provide an algorithm to generate trajectories of sparse stochastic processes that are solutions of linear ordinary differential equations driven by Lévy white noises. A recent p…
A Note on BIBO Stability
Michael Unser
The statements on the BIBO stability of continuous-time convolution systems found in engineering textbooks are often either too vague (because of lack of hypotheses) or mathematica…