New methods for $\ell_2-\ell_0$ minimization and their applications to 2D Single-Molecule Localization Microscopy - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2019

New methods for $\ell_2-\ell_0$ minimization and their applications to 2D Single-Molecule Localization Microscopy

Abstract

We present in this paper a biconvex reformulation of an $\ell_2-\ell_0$ problem composed of a least-square data term plus a sparsity term introduced as a constraint or a penalization. Minimization algorithms are derived and compared with the state of the art in $\ell_2-\ell_0$ minimization by relaxation or deep learning. Application results are shown on Single-Molecule Localization Microscopy.
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Dates and versions

hal-02107577 , version 1 (23-04-2019)
hal-02107577 , version 2 (06-06-2019)

Identifiers

Cite

Arne Bechensteen, Laure Blanc-Féraud, Gilles Aubert. New methods for $\ell_2-\ell_0$ minimization and their applications to 2D Single-Molecule Localization Microscopy. ISBI 2019 - IEEE International Symposium on Biomedical Imaging, Apr 2019, Venice, Italy. ⟨10.1109/ISBI.2019.8759567⟩. ⟨hal-02107577v2⟩
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