  Computed tomography (CT) is routinely used for three-dimensional non-invasive
imaging. Numerous data-driven image denoising algorithms were proposed to
restore image quality in low-dose acquisitions. However, considerably less
research investigates methods already intervening in the raw detector data due
to limited access to suitable projection data or correct reconstruction
algorithms. In this work, we present an end-to-end trainable CT reconstruction
pipeline that contains denoising operators in both the projection and the image
domain and that are optimized simultaneously without requiring ground-truth
high-dose CT data. Our experiments demonstrate that including an additional
projection denoising operator improved the overall denoising performance by
82.4-94.1%/12.5-41.7% (PSNR/SSIM) on abdomen CT and 1.5-2.9%/0.4-0.5%
(PSNR/SSIM) on XRM data relative to the low-dose baseline. We make our entire
helical CT reconstruction framework publicly available that contains a raw
projection rebinning step to render helical projection data suitable for
differentiable fan-beam reconstruction operators and end-to-end learning.
