arXiv Open Access 2020

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

Marta Lazzaretti Luca Calatroni Claudio Estatico

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Abstrak

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.

Topik & Kata Kunci

eess.IV math.NA math.OC

Penulis (3)

Marta Lazzaretti

Luca Calatroni

Claudio Estatico

Format Sitasi

APA MLA BibTeX

Lazzaretti, M., Calatroni, L., Estatico, C. (2020). Weighted-CEL0 sparse regularisation for molecule localisation in super-resolution microscopy with Poisson data. https://arxiv.org/abs/2010.13173

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓