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Conference Papers Year : 2021

Weighted-CEL0 sparse regularisation for molecule localisation in super-resolution microscopy with Poisson data

Abstract

We propose a continuous non-convex variational model for Single Molecule Localisation Microscopy (SMLM) super-resolution in order to overcome light diffraction barriers. Namely, we consider a variation of the Continuous Exact $\ell_0$ (CEL0) penalty recently introduced to relax the $\ell_2-\ell_0$ problem where a weighted-$\ell_2$ data fidelity is considered to model signal-dependent Poisson noise. For the numerical solution of the associated minimisation problem, we consider an iterative reweighted $\ell_1$ (IRL1) strategy for which we detail efficient parameter computation strategies. We report qualitative and quantitative molecule localisation results showing that the proposed weighted-CEL0 (wCEL0) model improves the results obtained by CEL0 and state-of-the art deep-learning approaches for the high-density SMLM ISBI 2013 dataset.
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Dates and versions

hal-02979145 , version 1 (05-04-2022)

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Marta Lazzaretti, Luca Calatroni, Claudio Estatico. Weighted-CEL0 sparse regularisation for molecule localisation in super-resolution microscopy with Poisson data. 2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI), Apr 2021, Nice, France. ⟨10.1109/ISBI48211.2021.9434014⟩. ⟨hal-02979145⟩
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