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

1 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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Conference papers
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Cited literature [11 references]

https://hal.inria.fr/hal-02400407
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Submitted on : Monday, December 9, 2019 - 2:46:05 PM
Last modification on : Monday, October 12, 2020 - 10:30:36 AM
Long-term archiving on: : Tuesday, March 10, 2020 - 6:32:07 PM

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1812.05971.pdf
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### Identifiers

• HAL Id : hal-02400407, version 1
• ARXIV : 1812.05971

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### Citation

Arne Bechensteen, Laure Blanc-Féraud, Gilles Aubert. Single molecule localization by $\ell_2-\ell_0$ constrained optimization. iTWIST'18, Nov 2018, Marseille, France. ⟨hal-02400407⟩

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