Deblurring subject to nonnegativity constraints when known functions are present with application to object-constrained computerized tomography

Donald L. Snyder; Joseph A. O'Sullivan; Bruce R. Whiting; Ryan J. Murphy; Jasenka Benac; J. Adam Cataldo; David G. Politte; Jeffrey F. Williamson

doi:10.1109/42.959298

Deblurring subject to nonnegativity constraints when known functions are present with application to object-constrained computerized tomography

Donald L. Snyder
, Joseph A. O'Sullivan
, Bruce R. Whiting
, Ryan J. Murphy
, Jasenka Benac
, J. Adam Cataldo
, David G. Politte
, Jeffrey F. Williamson

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

The reconstruction of tomographic images is often treated as a linear deblurring problem. When a high-density, man-made metal object is present somewhere in the image field, it is a deblurring problem in which the unknown function has a component that is known except for some location and orientation parameters. We first address general linear deblurring problems in which a known function having unknown parameters is present. We then show how the resulting iterative solution can be applied to tomographic imaging in the presence of man-made foreign objects, and we apply the result, in particular, to X-ray computed tomography imaging used in support of brachytherapy treatment of advanced cervical cancer.

Original language	English
Pages (from-to)	1009-1017
Number of pages	9
Journal	IEEE Transactions on Medical Imaging
Volume	20
Issue number	10
DOIs	https://doi.org/10.1109/42.959298
State	Published - Oct 2001

Keywords

Brachytherapy
Cervical cancer
Computerized tomography
Metal artifacts
Tomography

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10.1109/42.959298

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Snyder, D. L., O'Sullivan, J. A., Whiting, B. R., Murphy, R. J., Benac, J., Adam Cataldo, J., Politte, D. G., & Williamson, J. F. (2001). Deblurring subject to nonnegativity constraints when known functions are present with application to object-constrained computerized tomography. IEEE Transactions on Medical Imaging, 20(10), 1009-1017. https://doi.org/10.1109/42.959298

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title = "Deblurring subject to nonnegativity constraints when known functions are present with application to object-constrained computerized tomography",

abstract = "The reconstruction of tomographic images is often treated as a linear deblurring problem. When a high-density, man-made metal object is present somewhere in the image field, it is a deblurring problem in which the unknown function has a component that is known except for some location and orientation parameters. We first address general linear deblurring problems in which a known function having unknown parameters is present. We then show how the resulting iterative solution can be applied to tomographic imaging in the presence of man-made foreign objects, and we apply the result, in particular, to X-ray computed tomography imaging used in support of brachytherapy treatment of advanced cervical cancer.",

keywords = "Brachytherapy, Cervical cancer, Computerized tomography, Metal artifacts, Tomography",

author = "Snyder, \{Donald L.\} and O'Sullivan, \{Joseph A.\} and Whiting, \{Bruce R.\} and Murphy, \{Ryan J.\} and Jasenka Benac and \{Adam Cataldo\}, J. and Politte, \{David G.\} and Williamson, \{Jeffrey F.\}",

note = "Funding Information: Manuscript received July 17, 2000; revised July 31, 2001. This work was supported in part by Washington University. The work of J. F. Williamson was supported by the National Institutes of Health under Grant R01CA75371 from the National Cancer Institute of the National Institutes of Health. The Associate Editor responsible for coordinating the review of this paper and recommending its publication was C. Crawford. Asterisk indicates corresponding author. *D. L. Snyder is with the Department of Electrical Engineering, Washington University, Box 1127, St. Louis, MO 63130-4899 USA (e-mail: [email protected]).",

year = "2001",

month = oct,

doi = "10.1109/42.959298",

language = "English",

volume = "20",

pages = "1009--1017",

journal = "IEEE Transactions on Medical Imaging",

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T1 - Deblurring subject to nonnegativity constraints when known functions are present with application to object-constrained computerized tomography

AU - Snyder, Donald L.

AU - O'Sullivan, Joseph A.

AU - Whiting, Bruce R.

AU - Murphy, Ryan J.

AU - Benac, Jasenka

AU - Adam Cataldo, J.

AU - Politte, David G.

AU - Williamson, Jeffrey F.

N1 - Funding Information: Manuscript received July 17, 2000; revised July 31, 2001. This work was supported in part by Washington University. The work of J. F. Williamson was supported by the National Institutes of Health under Grant R01CA75371 from the National Cancer Institute of the National Institutes of Health. The Associate Editor responsible for coordinating the review of this paper and recommending its publication was C. Crawford. Asterisk indicates corresponding author. *D. L. Snyder is with the Department of Electrical Engineering, Washington University, Box 1127, St. Louis, MO 63130-4899 USA (e-mail: [email protected]).

PY - 2001/10

Y1 - 2001/10

N2 - The reconstruction of tomographic images is often treated as a linear deblurring problem. When a high-density, man-made metal object is present somewhere in the image field, it is a deblurring problem in which the unknown function has a component that is known except for some location and orientation parameters. We first address general linear deblurring problems in which a known function having unknown parameters is present. We then show how the resulting iterative solution can be applied to tomographic imaging in the presence of man-made foreign objects, and we apply the result, in particular, to X-ray computed tomography imaging used in support of brachytherapy treatment of advanced cervical cancer.

AB - The reconstruction of tomographic images is often treated as a linear deblurring problem. When a high-density, man-made metal object is present somewhere in the image field, it is a deblurring problem in which the unknown function has a component that is known except for some location and orientation parameters. We first address general linear deblurring problems in which a known function having unknown parameters is present. We then show how the resulting iterative solution can be applied to tomographic imaging in the presence of man-made foreign objects, and we apply the result, in particular, to X-ray computed tomography imaging used in support of brachytherapy treatment of advanced cervical cancer.

KW - Brachytherapy

KW - Cervical cancer

KW - Computerized tomography

KW - Metal artifacts

KW - Tomography

UR - https://www.scopus.com/pages/publications/0035491083

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DO - 10.1109/42.959298

M3 - Article

C2 - 11686436

AN - SCOPUS:0035491083

SN - 0278-0062

VL - 20

SP - 1009

EP - 1017

JO - IEEE Transactions on Medical Imaging

JF - IEEE Transactions on Medical Imaging

IS - 10

ER -

Deblurring subject to nonnegativity constraints when known functions are present with application to object-constrained computerized tomography

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