Total variation based image restoration of three dimensional microscopic objects

Michael K. Ng

doi:10.1109/TENCON.1996.608821

Total variation based image restoration of three dimensional microscopic objects

Michael K. Ng^*

^*Corresponding author for this work

Department of Mathematics

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

1 Citation (Scopus)

Abstract

The inverse problem involving the determination of a three-dimensional biological structure from images obtained by means of optical-sectioning microscopy is ill-posed. Regularization methods must often be used in order to obtain a reasonable solution. Recently, the total variation (TV) regularization, as proposed by Rudin, Osher and Fatemi (1992), has become very popular for this purpose. An iterative algorithm is used for minimizing a TV-penalized least squares problems. We also employ transform based methods for solving large linear subproblems arising from TV-penalized least squares problems. Preliminary numerical results show that the method performs quite well.

Original language	English
Title of host publication	1996 IEEE TENCON - Digital Signal Processing Applications Proceedings
Publisher	IEEE
Pages	288-293
Number of pages	6
Volume	2
ISBN (Electronic)	078033681X
ISBN (Print)	0780336798, 0780336801
DOIs	https://doi.org/10.1109/TENCON.1996.608821
Publication status	Published - Nov 1996
Event	1996 IEEE TENCON - Digital Signal Processing Application Conference, TENCON 1996 - Perth, Australia Duration: 26 Nov 1996 → 29 Nov 1996 https://ieeexplore.ieee.org/xpl/conhome/4818/proceeding (Conference Proceedings)

Publication series

Name	IEEE TENCON - Digital Signal Processing Applications Proceedings

Conference

Conference	1996 IEEE TENCON - Digital Signal Processing Application Conference, TENCON 1996
Country/Territory	Australia
City	Perth
Period	26/11/96 → 29/11/96
Internet address	https://ieeexplore.ieee.org/xpl/conhome/4818/proceeding (Conference Proceedings)

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

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10.1109/TENCON.1996.608821

Cite this

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title = "Total variation based image restoration of three dimensional microscopic objects",

abstract = "The inverse problem involving the determination of a three-dimensional biological structure from images obtained by means of optical-sectioning microscopy is ill-posed. Regularization methods must often be used in order to obtain a reasonable solution. Recently, the total variation (TV) regularization, as proposed by Rudin, Osher and Fatemi (1992), has become very popular for this purpose. An iterative algorithm is used for minimizing a TV-penalized least squares problems. We also employ transform based methods for solving large linear subproblems arising from TV-penalized least squares problems. Preliminary numerical results show that the method performs quite well.",

author = "Ng, \{Michael K.\}",

note = "Publisher Copyright: {\textcopyright} 1996 IEEE. Funding Information: Research by M. Ng was supported by the Cooperative Research Centre for Advanced Computational Systems.; 1996 IEEE TENCON - Digital Signal Processing Application Conference, TENCON 1996 ; Conference date: 26-11-1996 Through 29-11-1996",

year = "1996",

month = nov,

doi = "10.1109/TENCON.1996.608821",

language = "English",

isbn = "0780336798",

volume = "2",

series = "IEEE TENCON - Digital Signal Processing Applications Proceedings",

publisher = "IEEE",

pages = "288--293",

booktitle = "1996 IEEE TENCON - Digital Signal Processing Applications Proceedings",

address = "United States",

url = "https://ieeexplore.ieee.org/xpl/conhome/4818/proceeding",

}

Ng, MK 1996, Total variation based image restoration of three dimensional microscopic objects. in 1996 IEEE TENCON - Digital Signal Processing Applications Proceedings. vol. 2, IEEE TENCON - Digital Signal Processing Applications Proceedings, IEEE, pp. 288-293, 1996 IEEE TENCON - Digital Signal Processing Application Conference, TENCON 1996, Perth, Western Australia, Australia, 26/11/96. https://doi.org/10.1109/TENCON.1996.608821

Total variation based image restoration of three dimensional microscopic objects. / Ng, Michael K.
1996 IEEE TENCON - Digital Signal Processing Applications Proceedings. Vol. 2 IEEE, 1996. p. 288-293 (IEEE TENCON - Digital Signal Processing Applications Proceedings).

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

TY - GEN

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PY - 1996/11

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N2 - The inverse problem involving the determination of a three-dimensional biological structure from images obtained by means of optical-sectioning microscopy is ill-posed. Regularization methods must often be used in order to obtain a reasonable solution. Recently, the total variation (TV) regularization, as proposed by Rudin, Osher and Fatemi (1992), has become very popular for this purpose. An iterative algorithm is used for minimizing a TV-penalized least squares problems. We also employ transform based methods for solving large linear subproblems arising from TV-penalized least squares problems. Preliminary numerical results show that the method performs quite well.

AB - The inverse problem involving the determination of a three-dimensional biological structure from images obtained by means of optical-sectioning microscopy is ill-posed. Regularization methods must often be used in order to obtain a reasonable solution. Recently, the total variation (TV) regularization, as proposed by Rudin, Osher and Fatemi (1992), has become very popular for this purpose. An iterative algorithm is used for minimizing a TV-penalized least squares problems. We also employ transform based methods for solving large linear subproblems arising from TV-penalized least squares problems. Preliminary numerical results show that the method performs quite well.

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DO - 10.1109/TENCON.1996.608821

M3 - Conference proceeding

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SN - 0780336801

VL - 2

T3 - IEEE TENCON - Digital Signal Processing Applications Proceedings

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BT - 1996 IEEE TENCON - Digital Signal Processing Applications Proceedings

PB - IEEE

T2 - 1996 IEEE TENCON - Digital Signal Processing Application Conference, TENCON 1996

Y2 - 26 November 1996 through 29 November 1996

ER -

Total variation based image restoration of three dimensional microscopic objects

Abstract

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Conference

UN SDGs

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