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 proceedingArticle in proceedingsResearchpeer-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 languageEnglish
    Title of host publication2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC)
    PublisherIEEE
    Publication date2012
    Pages3387-3389
    ISBN (Print)978-1-4673-2028-3
    DOIs
    Publication statusPublished - 2012
    Event2012 IEEE Nuclear Science Symposium and Medical Imaging Conference - Disney Hotel, Anaheim, CA, United States
    Duration: 29 Oct 20123 Nov 2012
    http://www.nss-mic.org/2012/NSSMain.asp

    Conference

    Conference2012 IEEE Nuclear Science Symposium and Medical Imaging Conference
    LocationDisney Hotel
    CountryUnited States
    CityAnaheim, CA
    Period29/10/201203/11/2012
    Internet address

    Fingerprint

    Dive into the research topics of 'Characterizing a discrete-to-discrete X-ray transform for iterative image reconstruction with limited angular-range scanning in CT'. Together they form a unique fingerprint.

    Cite this