Maximum Likelihood Fitting for Localization and Microscopy

In may 2010 issue of Nature methods, there are several papers on using maximum likelihood estimators(MLE) to achieve fast and single molecule localization. It turns out this approach is very powerful to fit photon distributions, assuming that Poisson noise is dominant in real measurements (i.e. microscopic images).

Here are the articles on MLE:

Efficient maximum likelihood estimator fitting of histograms

Fast, single-molecule localization that achieves theoretically minimum uncertainty

Optimized localization analysis for single-molecule tracking and super-resolution microscopy