Dual-energy (DE) X-ray computed tomography (CT) has been proposed as an useful tool in various applications.
One promising application is DECT with low radiation doses used for attenuation correction in positron emission
tomography (PET). In low-dose DECT, conventional methods for sinogram decomposition have been based on
logarithmic transformations and ignored noise properties, leading to very noisy component sinogram estimates.
In this paper, we propose two novel sinogram restoration methods that are statistically motivated; penalized
weighted least square (PWLS) and penalized likelihood (PL), producing less noisy component sinogram estimates
for low-dose DECT than the conventional approaches. The restored component sinograms can improve attenuation
correction, thus allowing better image quality in PET. Experiments with a digital phantom indicate that the
proposed methods produce less noisy sinograms, reconstructed images, and attenuation correction factors (ACF)
than the conventional one, showing promise for CT-based attenuation correction in emission tomography.