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A resolution measure for three-dimensional microscopy

A resolution measure for three-dimensional microscopy
A resolution measure for three-dimensional microscopy

A three-dimensional (3D) resolution measure for the conventional optical microscope is introduced which overcomes the drawbacks of the classical 3D (axial) resolution limit. Formulated within the context of a parameter estimation problem and based on the Cramer-Rao lower bound, this 3D resolution measure indicates the accuracy with which a given distance between two objects in 3D space can be determined from the acquired image. It predicts that, given enough photons from the objects of interest, arbitrarily small distances of separation can be estimated with prespecified accuracy. Using simulated images of point source pairs, we show that the maximum likelihood estimator is capable of attaining the accuracy predicted by the resolution measure. We also demonstrate how different factors, such as extraneous noise sources and the spatial orientation of the imaged object pair, can affect the accuracy with which a given distance of separation can be determined.

Axial resolution, Cramer-Rao lower bound, Information theory, Optical microscopy, Three-dimensional microscopy
0030-4018
1751-1761
Chao, Jerry
550e20b0-8365-42e3-a6fc-1048eb8c2e47
Ram, Sripad
559bd560-3817-4e53-8c7a-2f08e4518412
Abraham, Anish V.
4f71ee5b-b0b1-4e0e-8f64-5cea9ae8f0e0
Sally Ward, E.
b31c0877-8abe-485f-b800-244a9d3cd6cc
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Chao, Jerry
550e20b0-8365-42e3-a6fc-1048eb8c2e47
Ram, Sripad
559bd560-3817-4e53-8c7a-2f08e4518412
Abraham, Anish V.
4f71ee5b-b0b1-4e0e-8f64-5cea9ae8f0e0
Sally Ward, E.
b31c0877-8abe-485f-b800-244a9d3cd6cc
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36

Chao, Jerry, Ram, Sripad, Abraham, Anish V., Sally Ward, E. and Ober, Raimund J. (2009) A resolution measure for three-dimensional microscopy. Optics Communications, 282 (9), 1751-1761. (doi:10.1016/j.optcom.2009.01.062).

Record type: Article

Abstract

A three-dimensional (3D) resolution measure for the conventional optical microscope is introduced which overcomes the drawbacks of the classical 3D (axial) resolution limit. Formulated within the context of a parameter estimation problem and based on the Cramer-Rao lower bound, this 3D resolution measure indicates the accuracy with which a given distance between two objects in 3D space can be determined from the acquired image. It predicts that, given enough photons from the objects of interest, arbitrarily small distances of separation can be estimated with prespecified accuracy. Using simulated images of point source pairs, we show that the maximum likelihood estimator is capable of attaining the accuracy predicted by the resolution measure. We also demonstrate how different factors, such as extraneous noise sources and the spatial orientation of the imaged object pair, can affect the accuracy with which a given distance of separation can be determined.

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More information

Accepted/In Press date: 29 January 2009
e-pub ahead of print date: 21 February 2009
Published date: 1 May 2009
Keywords: Axial resolution, Cramer-Rao lower bound, Information theory, Optical microscopy, Three-dimensional microscopy

Identifiers

Local EPrints ID: 423606
URI: https://eprints.soton.ac.uk/id/eprint/423606
ISSN: 0030-4018
PURE UUID: 98319a90-363f-4531-b2e7-03ea59ade4b9
ORCID for E. Sally Ward: ORCID iD orcid.org/0000-0003-3232-7238
ORCID for Raimund J. Ober: ORCID iD orcid.org/0000-0002-1290-7430

Catalogue record

Date deposited: 27 Sep 2018 16:30
Last modified: 20 Jul 2019 00:22

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Contributors

Author: Jerry Chao
Author: Sripad Ram
Author: Anish V. Abraham
Author: E. Sally Ward ORCID iD
Author: Raimund J. Ober ORCID iD

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