On the possibility of a considerable quality improvement of a quantum ghost image by sensing in the object arm

We consider a modification of the classical ghost imaging scheme where an image of the research object is formed and acquired in the object arm. It is used alongside the ghost image to produce an estimate of the transmittance distribution of the object. It is shown that it allows to weaken the deterioration of image quality caused by nonunit quantum efficiency of the sensors, including the case when the quantum image obtained in the object arm is additionally affected by the noise caused by photons that have not interacted with the object.