On the validity domain of maximum likelihood estimators for depth-of-field extension in single-molecule localization microscopy - Groupe Imagerie et Information Access content directly
Journal Articles Journal of the Optical Society of America. A Optics, Image Science, and Vision Year : 2022

On the validity domain of maximum likelihood estimators for depth-of-field extension in single-molecule localization microscopy

Abstract

Localization microscopy approaches with enhanced depth-of-field (EDoF) are commonly optimized using the Cramér-Rao bound (CRB) as a criterion. It is widely believed that the CRB can be attained in practice by using the maximum-likelihood estimator (MLE). This is however an approximation, of which we define in this paper the precise domain of validity. Exploring a wide range of settings and noise levels, we show that the MLE is efficient when the signal-to-noise ratio (SNR) is such that the localization standard deviation of a single molecule is less than 20 nm. Thus, our results provide an explicit and quantitative validity boundary for the use of the MLE in EDoF localization microscopy setups optimized with the CRB.
Fichier principal
Vignette du fichier
JOSA_A_439993.pdf (1.33 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03473290 , version 1 (09-12-2021)

Identifiers

Cite

Olivier Lévêque, Caroline Kulcsár, Antony Lee, Pierre Bon, Laurent Cognet, et al.. On the validity domain of maximum likelihood estimators for depth-of-field extension in single-molecule localization microscopy. Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2022, 39 (1), pp.37-43. ⟨10.1364/JOSAA.439993⟩. ⟨hal-03473290⟩
60 View
122 Download

Altmetric

Share

Gmail Facebook X LinkedIn More