An apparatus for tomosynthesis and/or mammography includes: an X-ray detector, for receiving and detecting X-rays in a first, detection plane an X-ray source, which can be activated individually and is positioned to emit a corresponding X-ray beam towards the first, detection plane a processing and control unit, for activating the X-ray source and receiving a signal relating to X-rays which passed through the breast and were detected by the detector to derive a radiographic image representative of the internal structure of the breast a grille for removing diffuse radiation, interposed between the source and the detector to receive X-rays which passed through the breast. The grille including plates positioned opposite the chest of the patient when the breast is positioned in a positioning region, and which are angled to converge towards the same region proximal to the X-ray source.
