Fast maximum likelihood algorithm for localization of fluorescent molecules.
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.
Kellogg Honors College and Department of Mathematics and Statistics, California State Polytechnic University, Pomona, California 91768, USA.
Rebecca
R
Starr
Shane
S
Stahlheber
Alex
A
Small
D000465:Algorithms; D005456:Fluorescent Dyes; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D016013:Likelihood Functions; D008853:Microscopy / Q000379:methods*; D013997:Time Factors
D005456:Fluorescent Dyes