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A 3D resolution measure for optical microscopy

A 3D resolution measure for optical microscopy
A 3D resolution measure for optical microscopy

An information-theoretic three-dimensional (3D) resolution measure for the optical microscope is introduced. Based on the Cramer-Rao inequality, this resolution measure specifies a lower bound on the accuracy with which a given distance separating two objects in 3D space can be estimated from the acquired image. Useful in many applications, accurate determination of the distance of separation can, for example, help to characterize the interaction that occurs between two closely spaced biomolecules in a biological cell. In addition to presenting the underlying theory, we show that the resolution measure predicts that, by detecting a sufficient number of photons from an object pair, arbitrarily small distances of separation can be estimated with prespecified accuracy. Furthermore, we illustrate its dependence on properties such as the object pair's 3D spatial orientation. With estimations on simulated images, we show that the maximum likelihood estimator is capable of attaining the accuracy predicted by the resolution measure.

Axial resolution, Cramer-rao inequality, Fisher information matrix, Optical microscopy, Threedimensional microscopy
1115-1118
Institute of Electrical and Electronics Engineers Inc.
Chao, Jerry
550e20b0-8365-42e3-a6fc-1048eb8c2e47
Ram, Sripad
559bd560-3817-4e53-8c7a-2f08e4518412
Ward, E. Sally
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
Ward, E. Sally
b31c0877-8abe-485f-b800-244a9d3cd6cc
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36

Chao, Jerry, Ram, Sripad, Ward, E. Sally and Ober, Raimund J. (2009) A 3D resolution measure for optical microscopy. In Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009. Institute of Electrical and Electronics Engineers Inc. pp. 1115-1118 . (doi:10.1109/ISBI.2009.5193252).

Record type: Conference or Workshop Item (Paper)

Abstract

An information-theoretic three-dimensional (3D) resolution measure for the optical microscope is introduced. Based on the Cramer-Rao inequality, this resolution measure specifies a lower bound on the accuracy with which a given distance separating two objects in 3D space can be estimated from the acquired image. Useful in many applications, accurate determination of the distance of separation can, for example, help to characterize the interaction that occurs between two closely spaced biomolecules in a biological cell. In addition to presenting the underlying theory, we show that the resolution measure predicts that, by detecting a sufficient number of photons from an object pair, arbitrarily small distances of separation can be estimated with prespecified accuracy. Furthermore, we illustrate its dependence on properties such as the object pair's 3D spatial orientation. With estimations on simulated images, we show that the maximum likelihood estimator is capable of attaining the accuracy predicted by the resolution measure.

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More information

e-pub ahead of print date: 7 August 2009
Published date: 2009
Venue - Dates: 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, Boston, United States, 2009-06-28 - 2009-07-01
Keywords: Axial resolution, Cramer-rao inequality, Fisher information matrix, Optical microscopy, Threedimensional microscopy

Identifiers

Local EPrints ID: 423616
URI: https://eprints.soton.ac.uk/id/eprint/423616
PURE UUID: 94aa8b3f-7447-42aa-a246-3bf99f1067f2
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: 14 Mar 2019 01:21

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Contributors

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

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