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
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
January 2005
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), .
(doi:10.1007/s11045-004-4737-0).
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.
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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
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Date deposited: 04 Oct 2018 16:30
Last modified: 18 Mar 2024 03:48
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Author:
Xuming Lai
Author:
Zhiping Lin
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