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Accelerated Compressed Sensing Based CT Image Reconstruction
Joint Authors
Hashemi, SayedMasoud
Gill, Patrick R.
Paul, Narinder S.
Cobbold, Richard S. C.
Beheshti, S.
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-18
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In X-ray computed tomography (CT) an important objective is to reduce the radiation dose without significantly degrading the image quality.
Compressed sensing (CS) enables the radiation dose to be reduced by producing diagnostic images from a limited number of projections.
However, conventional CS-based algorithms are computationally intensive and time-consuming.
We propose a new algorithm that accelerates the CS-based reconstruction by using a fast pseudopolar Fourier based Radon transform and rebinning the diverging fan beams to parallel beams.
The reconstruction process is analyzed using a maximum-a-posterior approach, which is transformed into a weighted CS problem.
The weights involved in the proposed model are calculated based on the statistical characteristics of the reconstruction process, which is formulated in terms of the measurement noise and rebinning interpolation error.
Therefore, the proposed method not only accelerates the reconstruction, but also removes the rebinning and interpolation errors.
Simulation results are shown for phantoms and a patient.
For example, a 512 × 512 Shepp-Logan phantom when reconstructed from 128 rebinned projections using a conventional CS method had 10% error, whereas with the proposed method the reconstruction error was less than 1%.
Moreover, computation times of less than 30 sec were obtained using a standard desktop computer without numerical optimization.
American Psychological Association (APA)
Hashemi, SayedMasoud& Beheshti, S.& Gill, Patrick R.& Paul, Narinder S.& Cobbold, Richard S. C.. 2015. Accelerated Compressed Sensing Based CT Image Reconstruction. Computational and Mathematical Methods in Medicine،Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1057816
Modern Language Association (MLA)
Hashemi, SayedMasoud…[et al.]. Accelerated Compressed Sensing Based CT Image Reconstruction. Computational and Mathematical Methods in Medicine No. 2015 (2015), pp.1-16.
https://search.emarefa.net/detail/BIM-1057816
American Medical Association (AMA)
Hashemi, SayedMasoud& Beheshti, S.& Gill, Patrick R.& Paul, Narinder S.& Cobbold, Richard S. C.. Accelerated Compressed Sensing Based CT Image Reconstruction. Computational and Mathematical Methods in Medicine. 2015. Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1057816
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1057816