The invention relates to a medical computed tomography imaging apparatus which is especially designed to enable cranial imaging. The structure of the apparatus includes a gantry (2) comprising imaging means (21, 22) and a positioning support (8) which positioning support (8) is arranged to position the patient's cranium for exposure such that, when exposed, the cranium is scanned by a radiation beam substantially parallel with a plane formed by the facial area of the cranium and substantially only in an area on the facial side of the cranium.