2017
DOI: 10.1109/tmi.2016.2627004
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Comparison Between Pre-Log and Post-Log Statistical Models in Ultra-Low-Dose CT Reconstruction

Abstract: X-ray detectors in clinical computed tomography (CT) usually operate in current-integrating mode. Their complicated signal statistics often lead to intractable likelihood functions for practical use in model-based image reconstruction (MBIR). It is therefore desirable to design simplified statistical models without losing the essential factors. Depending on whether the CT transmission data are logarithmically transformed, pre-log and post-log models are two major categories of choices in CT MBIR. Both being ap… Show more

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Cited by 86 publications
(56 citation statements)
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“…We chose I 0 = 1 × 10 5 photons per ray and σ = 5 in our experiments. We approximated elements of the diagonal weighting matrix W of the data-fidelity in (1) by y 2 l i y l i +σ 2 [38]. The images are of size 512 × 512 at a resolution of 0.9766 mm × 0.9766 mm, when reconstructed using the FBP method.…”
Section: Methodsmentioning
confidence: 99%
“…We chose I 0 = 1 × 10 5 photons per ray and σ = 5 in our experiments. We approximated elements of the diagonal weighting matrix W of the data-fidelity in (1) by y 2 l i y l i +σ 2 [38]. The images are of size 512 × 512 at a resolution of 0.9766 mm × 0.9766 mm, when reconstructed using the FBP method.…”
Section: Methodsmentioning
confidence: 99%
“…Let fi denote the first derivative of f i , this beam hardening correction will change the weighting matrix in Eq. as:boldΛii=1/varfalse(yiitalicbhcfalse)trueNfalse¯i/[fifalse(y¯ifalse)]2trueNfalse¯i/[fifalse(yifalse)]2…”
Section: Stastical Image Reconstruction Frameworkmentioning
confidence: 99%
“…Indeed, IR techniques are replacing conventional FBP techniques since they are less prone to artifacts and increased image noise at lower radiation doses as compared with FBP, which may have compromised diagnostic quality at low radiation doses. 42,72 IR techniques remove image noise through a process of modeling of the imaging acquisition processes including photon statistics fluctuations, the optics system, and other aspects of x-ray interactions that are ignored by the conventional FBP techniques. IR techniques use and include a simple algebraic reconstruction technique, statistical IR, and more recent model-based IR (MBIR).…”
Section: Iterative Reconstructionsmentioning
confidence: 99%