The University of Southampton
University of Southampton Institutional Repository

State space realization of a three-dimensional image set with application to noise reduction of fluorescent microscopy images of cells

State space realization of a three-dimensional image set with application to noise reduction of fluorescent microscopy images of cells
State space realization of a three-dimensional image set with application to noise reduction of fluorescent microscopy images of cells

A method is presented to calculate state space realizations of a three-dimensional image set. It is based on interpreting the image set as the impulse response of a 3D separable system. As an application it is shown how this method, combined with approximation steps, including balanced model reduction, can be used to suppress noise in three-dimensional image sets. The approach was motivated by a practical problem in the analysis of three-dimensional fluorescent microscopy image data of fluorescently labelled cells. The method is illustrated by an analysis of simulated data and experimental data. The proposed approach can also be applied to a two-dimensional image in a straightforward way.

Balanced realization, Fluorescent microscopy, Image processing, Multi-dimensional state space realization, Noise suppression, Separable n-D system
0923-6082
7-47
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Lai, Xuming
b0521079-5b4e-4939-ab03-0d0bb5a0e022
Lin, Zhiping
9b046adc-5fd0-4f26-a722-4e72598ecd9f
Ward, E. Sally
b31c0877-8abe-485f-b800-244a9d3cd6cc
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Lai, Xuming
b0521079-5b4e-4939-ab03-0d0bb5a0e022
Lin, Zhiping
9b046adc-5fd0-4f26-a722-4e72598ecd9f
Ward, E. Sally
b31c0877-8abe-485f-b800-244a9d3cd6cc

Ober, Raimund J., Lai, Xuming, Lin, Zhiping and Ward, E. Sally (2005) State space realization of a three-dimensional image set with application to noise reduction of fluorescent microscopy images of cells. Multidimensional Systems and Signal Processing, 16 (1), 7-47. (doi:10.1007/s11045-004-4737-0).

Record type: Article

Abstract

A method is presented to calculate state space realizations of a three-dimensional image set. It is based on interpreting the image set as the impulse response of a 3D separable system. As an application it is shown how this method, combined with approximation steps, including balanced model reduction, can be used to suppress noise in three-dimensional image sets. The approach was motivated by a practical problem in the analysis of three-dimensional fluorescent microscopy image data of fluorescently labelled cells. The method is illustrated by an analysis of simulated data and experimental data. The proposed approach can also be applied to a two-dimensional image in a straightforward way.

This record has no associated files available for download.

More information

Accepted/In Press date: 11 June 2004
e-pub ahead of print date: December 2004
Published date: January 2005
Keywords: Balanced realization, Fluorescent microscopy, Image processing, Multi-dimensional state space realization, Noise suppression, Separable n-D system

Identifiers

Local EPrints ID: 424087
URI: http://eprints.soton.ac.uk/id/eprint/424087
ISSN: 0923-6082
PURE UUID: 4a065d99-5476-41f0-9fcc-61fe0a8a3fb2
ORCID for Raimund J. Ober: ORCID iD orcid.org/0000-0002-1290-7430
ORCID for E. Sally Ward: ORCID iD orcid.org/0000-0003-3232-7238

Catalogue record

Date deposited: 04 Oct 2018 16:30
Last modified: 18 Mar 2024 03:48

Export record

Altmetrics

Contributors

Author: Raimund J. Ober ORCID iD
Author: Xuming Lai
Author: Zhiping Lin
Author: E. Sally Ward ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×