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 to , where 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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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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