Biomedical Imaging GroupSTI
English only   BIG > Publications > Maximum-Likelihood Localization

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

A Maximum-Likelihood Formalism for Sub-Resolution Axial Localization of Fluorescent Nanoparticles

F. Aguet, D. Van De Ville, M. Unser

Optics Express, vol. 13, no. 26, pp. 10503-10522, December 22, 2005.

One of the ongoing challenges in single particle fluorescence microscopy resides in estimating the axial position of particles with sub-resolution precision. Due to the complexity of the diffraction patterns generated by such particles, the standard fitting methods used to estimate a particle's lateral position are not applicable. A new approach for axial localization is proposed: it consists of a maximum-likelihood estimator based on a theoretical image formation model that incorporates noise. The fundamental theoretical limits on localization are studied, using Cramér-Rao bounds. These indicate that the proposed approach can be used to localize particles with nanometer-scale precision. Using phantom data generated according to the image formation model, it is then shown that the precision of the proposed estimator reaches the fundamental limits. Moreover, the approach is tested on experimental data, and sub-resolution localization at the 10 nm scale is demonstrated.

AUTHOR="Aguet, F. and Van De Ville, D. and Unser, M.",
TITLE="A Maximum-Likelihood Formalism for Sub-Resolution Axial
        Localization of Fluorescent Nanoparticles",
JOURNAL="Optics Express",
month="December 22,",

© 2005 OSA. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from OSA.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.