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Fast maximum likelihood algorithm for localization of fluorescent molecules

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Abstract

A common task in microscopy is to fit an image of a fluorescent probe to a point spread function (PSF) in order to estimate the position of the probe. The PSF is often approximated as a Gaussian for mathematical simplicity. We show that the separable property of the Gaussian PSF enables a reduction of computational time from O(L2) to O(L), where L is the width (in pixels) of the image. When tested on realistic simulated data, our algorithm is able to localize the probes with precision close to the Cramér–Rao lower bound.

©2012 Optical Society of America

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Corrections

Rebecca Starr, Shane Stahlheber, and Alex Small, "Fast maximum likelihood algorithm for localization of fluorescent molecules: erratum," Opt. Lett. 37, 1967-1967 (2012)
https://opg.optica.org/ol/abstract.cfm?uri=ol-37-11-1967

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