  In material testing applications, Computed Tomography is a well established
imaging technique that allows the recovery of the attenuation map of an object.
Conventional modalities exploit only primary radiation and although in the
energy ranges used in industrial applications Compton scatter radiation is
significant, it is removed from the measured data. On the contrary, Compton
Scattering Tomography not only accounts for the Compton effect but also uses it
to image material electronic density. Despite its promising applications, some
aspects of Compton scattering tomography have not been studied so far and,
since they are necessary for the design of a operational system, they need to
be addressed.
  In this paper we analyze the effect of some physical influences regarding
real detectors for the Circular Compton Scattering tomography, a system
recently introduced by the authors. This is accomplished through the
formulation of a new weighted Radon transform. In addition, we propose to adapt
the acquired data with pre-processing steps so that they are suitable for
reconstruction with a filtered back-projection type reconstruction algorithm,
and thus, properly deal with missing data of real measurements. Finally, we
introduce a bi-imaging configuration that allows recovering simultaneously the
electronic density map of the object as well as its attenuation map.
