Characterizing a discrete-to-discrete X-ray transform for iterative image reconstruction with limited angular-range scanning in CT

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2012

Standard

Characterizing a discrete-to-discrete X-ray transform for iterative image reconstruction with limited angular-range scanning in CT. / Sidky, Emil; Jørgensen, Jakob Heide; Pan, Xiaochuan.

2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE, 2012. p. 3387-3389 .

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2012

Harvard

Sidky, E, Jørgensen, JH & Pan, X 2012, 'Characterizing a discrete-to-discrete X-ray transform for iterative image reconstruction with limited angular-range scanning in CT'. in 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE, pp. 3387-3389 ., 10.1109/NSSMIC.2012.6551771

APA

Sidky, E., Jørgensen, J. H., & Pan, X. (2012). Characterizing a discrete-to-discrete X-ray transform for iterative image reconstruction with limited angular-range scanning in CT. In 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). (pp. 3387-3389 ). IEEE. 10.1109/NSSMIC.2012.6551771

CBE

Sidky E, Jørgensen JH, Pan X. 2012. Characterizing a discrete-to-discrete X-ray transform for iterative image reconstruction with limited angular-range scanning in CT. In 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE. pp. 3387-3389 . Available from: 10.1109/NSSMIC.2012.6551771

MLA

Vancouver

Sidky E, Jørgensen JH, Pan X. Characterizing a discrete-to-discrete X-ray transform for iterative image reconstruction with limited angular-range scanning in CT. In 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE. 2012. p. 3387-3389 . Available from: 10.1109/NSSMIC.2012.6551771

Author

Sidky, Emil; Jørgensen, Jakob Heide; Pan, Xiaochuan / Characterizing a discrete-to-discrete X-ray transform for iterative image reconstruction with limited angular-range scanning in CT.

2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE, 2012. p. 3387-3389 .

Publication: Research - peer-reviewArticle in proceedings – Annual report year: 2012

Bibtex

@inbook{19bc845000cc47a4ae6d799348583363,
title = "Characterizing a discrete-to-discrete X-ray transform for iterative image reconstruction with limited angular-range scanning in CT",
publisher = "IEEE",
author = "Emil Sidky and Jørgensen, {Jakob Heide} and Xiaochuan Pan",
year = "2012",
doi = "10.1109/NSSMIC.2012.6551771",
isbn = "978-1-4673-2028-3",
pages = "3387-3389",
booktitle = "2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC)",

}

RIS

TY - GEN

T1 - Characterizing a discrete-to-discrete X-ray transform for iterative image reconstruction with limited angular-range scanning in CT

A1 - Sidky,Emil

A1 - Jørgensen,Jakob Heide

A1 - Pan,Xiaochuan

AU - Sidky,Emil

AU - Jørgensen,Jakob Heide

AU - Pan,Xiaochuan

PB - IEEE

PY - 2012

Y1 - 2012

N2 - Iterative image reconstruction in computed tomography often employs a discrete-to-discrete (DD) linear data model, and many of the aspects of the image recovery relate directly to the properties of this linear model. While much is known about the properties of the continuous X-ray, the corresponding DD version can be more difficult to characterize due to non-standardization and wide variation in model parameters in the image expansion set and the integration model. For this work, we analyze in detail the DD model for fan-beam CT with a limited scanning range, namely less than 180 degrees plus the fan-angle. The analysis is performed by specifying the class of system matrices considered and computing their condition number. A scaling is observed that aids in relating the condition number for large system matrices to that of more easily analyzed small matrices.

AB - Iterative image reconstruction in computed tomography often employs a discrete-to-discrete (DD) linear data model, and many of the aspects of the image recovery relate directly to the properties of this linear model. While much is known about the properties of the continuous X-ray, the corresponding DD version can be more difficult to characterize due to non-standardization and wide variation in model parameters in the image expansion set and the integration model. For this work, we analyze in detail the DD model for fan-beam CT with a limited scanning range, namely less than 180 degrees plus the fan-angle. The analysis is performed by specifying the class of system matrices considered and computing their condition number. A scaling is observed that aids in relating the condition number for large system matrices to that of more easily analyzed small matrices.

U2 - 10.1109/NSSMIC.2012.6551771

DO - 10.1109/NSSMIC.2012.6551771

SN - 978-1-4673-2028-3

BT - 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC)

T2 - 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC)

SP - 3387

EP - 3389

ER -