  Ghost imaging has recently been successfully achieved in the X-ray regime;
due to the penetrating power of X-rays this immediately opens up the
possibility of X-ray ghost tomography. No research into this topic currently
exists in the literature. Here we present adaptations of conventional
tomography techniques to this new ghost imaging scheme. Several numerical
implementations for tomography through X-ray ghost imaging are considered.
Specific attention is paid to schemes for denoising of the resulting
tomographic reconstruction, issues related to dose fractionation, and
considerations regarding the ensemble of illuminating masks used for ghost
imaging. Each theme is explored through a series of numerical simulations, and
several suggestions offered for practical realisations of X-ray ghost
tomography.
