A stochastic analysis of performance limits for optical microscopes
A stochastic analysis of performance limits for optical microscopes
The optical microscope is a powerful instrument for observing cellular events. Recently, the increased use of microscopy in quantitative biological research, including single molecule microscopy, has generated significant interest in determining the performance limits of an optical microscope. Here, we formulate this problem in the context of a parameter estimation approach in which the acquired imaging data is modeled as a spatio-temporal stochastic process. We derive formulations of the Fisher information matrix for models that allow both stationary and moving objects. The effects of background signal, detector size, pixelation and noise sources are also considered. Further, formulations are given that allow the study of defocused objects. Applications are discussed for the special case of the estimation of the location of objects, especially single molecules. Specific emphasis is placed on the derivation of conditions that guarantee block diagonal or diagonal Fisher information matrices.
Cramer-Rao lower bound, Fisher information matrix, Fluorescence microscopy, Localization accuracy, Optical imaging, Parameter estimation, Single Molecule Microscopy, Spatio-temporal stochastic processes
27-57
Ram, Sripad
559bd560-3817-4e53-8c7a-2f08e4518412
Ward, E. Sally
b31c0877-8abe-485f-b800-244a9d3cd6cc
January 2006
Ram, Sripad
559bd560-3817-4e53-8c7a-2f08e4518412
Ward, E. Sally
b31c0877-8abe-485f-b800-244a9d3cd6cc
Ram, Sripad and Ward, E. Sally
(2006)
A stochastic analysis of performance limits for optical microscopes.
Multidimensional Systems and Signal Processing, 17 (1), .
(doi:10.1007/s11045-005-6237-2).
Abstract
The optical microscope is a powerful instrument for observing cellular events. Recently, the increased use of microscopy in quantitative biological research, including single molecule microscopy, has generated significant interest in determining the performance limits of an optical microscope. Here, we formulate this problem in the context of a parameter estimation approach in which the acquired imaging data is modeled as a spatio-temporal stochastic process. We derive formulations of the Fisher information matrix for models that allow both stationary and moving objects. The effects of background signal, detector size, pixelation and noise sources are also considered. Further, formulations are given that allow the study of defocused objects. Applications are discussed for the special case of the estimation of the location of objects, especially single molecules. Specific emphasis is placed on the derivation of conditions that guarantee block diagonal or diagonal Fisher information matrices.
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Published date: January 2006
Keywords:
Cramer-Rao lower bound, Fisher information matrix, Fluorescence microscopy, Localization accuracy, Optical imaging, Parameter estimation, Single Molecule Microscopy, Spatio-temporal stochastic processes
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Local EPrints ID: 425153
URI: http://eprints.soton.ac.uk/id/eprint/425153
ISSN: 0923-6082
PURE UUID: f08e598f-6112-4540-bb7e-26ff16dfdd31
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Date deposited: 11 Oct 2018 16:30
Last modified: 18 Mar 2024 03:48
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Author:
Sripad Ram
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