Conference paper
Characterizing a discrete-to-discrete X-ray transform for iterative image reconstruction with limited angular-range scanning in CT
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.
Language: | English |
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Publisher: | IEEE |
Year: | 2012 |
Pages: | 3387-3389 |
Proceedings: | 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference |
ISBN: | 1467320285 , 1467320293 , 1467320307 , 9781467320283 , 9781467320290 and 9781467320306 |
ISSN: | 25770829 and 10823654 |
Types: | Conference paper |
DOI: | 10.1109/NSSMIC.2012.6551771 |
ORCIDs: | Jørgensen, Jakob Heide |
DD linear data model DD version computed tomography computerised tomography discrete-to-discrete X-ray transform discrete-to-discrete linear data model fan-beam CT image reconstruction image recovery iterative image reconstruction limited angular-range scanning matrix algebra medical image processing system matrices