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

Emil Sidky; Jakob Heide Jørgensen; Xiaochuan Pan

doi:10.1109/NSSMIC.2012.6551771

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

Emil Sidky, Jakob Heide Jørgensen, Xiaochuan Pan

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

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.

Original language	English
Title of host publication	2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC)
Publisher	IEEE
Publication date	2012
Pages	3387-3389
ISBN (Print)	978-1-4673-2028-3
DOIs	https://doi.org/10.1109/NSSMIC.2012.6551771
Publication status	Published - 2012
Event	2012 IEEE Nuclear Science Symposium and Medical Imaging Conference - Disney Hotel, Anaheim, United States Duration: 29 Oct 2012 → 3 Nov 2012 https://ewh.ieee.org/soc/nps/nss-mic/2012/

Conference

Conference	2012 IEEE Nuclear Science Symposium and Medical Imaging Conference
Location	Disney Hotel
Country/Territory	United States
City	Anaheim
Period	29/10/2012 → 03/11/2012
Internet address	https://ewh.ieee.org/soc/nps/nss-mic/2012/

UN SDGs

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

Access to Document

10.1109/NSSMIC.2012.6551771

OpenUrl availability

Full text

Cite this

@inproceedings{19bc845000cc47a4ae6d799348583363,

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

abstract = "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.",

author = "Emil Sidky and J{\o}rgensen, {Jakob Heide} and Xiaochuan Pan",

year = "2012",

doi = "10.1109/NSSMIC.2012.6551771",

language = "English",

isbn = "978-1-4673-2028-3 ",

pages = "3387--3389 ",

booktitle = "2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC)",

publisher = "IEEE",

address = "United States",

note = "2012 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2012 ; Conference date: 29-10-2012 Through 03-11-2012",

url = "https://ewh.ieee.org/soc/nps/nss-mic/2012/",

}

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 , 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference, Anaheim, California, United States, 29/10/2012. https://doi.org/10.1109/NSSMIC.2012.6551771

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 .

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

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

AU - Sidky, Emil

AU - Jørgensen, Jakob Heide

AU - Pan, Xiaochuan

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

M3 - Article in proceedings

SN - 978-1-4673-2028-3

SP - 3387

EP - 3389

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

PB - IEEE

T2 - 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference

Y2 - 29 October 2012 through 3 November 2012

ER -

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

Abstract

Conference

UN SDGs

Access to Document

OpenUrl availability

Fingerprint

Cite this