Single molecule localization by $\ell_2-\ell_0$ constrained optimization

Arne Bechensteen 1, 2, 3 Laure Blanc-Féraud 3 Gilles Aubert 4
2 MORPHEME - Morphologie et Images
CRISAM - Inria Sophia Antipolis - Méditerranée , IBV - Institut de Biologie Valrose : U1091, Laboratoire I3S - SIS - Signal, Images et Systèmes
Abstract : Single-Molecule Localization Microscopy (SMLM) enables the acquisition of high-resolution images by alternating between activation of a sparse subset of fluorescent molecules present in a sample and localization. In this work, the localization problem is formulated as a constrained sparse approximation problem which is resolved by rewriting the $\ell_0$ pseudo-norm using an auxiliary term. In the preliminary experiments with the simulated ISBI datasets the algorithm yields as good results as the state-of-the-art in high-density molecule localization algorithms.
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Submitted on : Monday, December 17, 2018 - 12:09:59 PM
Last modification on : Tuesday, December 18, 2018 - 6:03:25 PM

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  • HAL Id : hal-01957427, version 1
  • ARXIV : 1812.05971



Arne Bechensteen, Laure Blanc-Féraud, Gilles Aubert. Single molecule localization by $\ell_2-\ell_0$ constrained optimization. iTWIST 2018, Nov 2018, Marseille, France. ⟨hal-01957427⟩



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