The three-dimensional (3D) reconstruction of intracerebral vessels from two-dimensional (2D) projection views is an important clinical problem that, so far, has eluded solution. This report describes a new approach that uses projection images to build arterial trees progressively from an underlying 3D network, using a new method to pair shadow images on widely separated projection views. As a test of our general methodology, we have reconstructed a middle cerebral arterial tree from two projection views of a magnetic resonance dataset and have tested the accuracy of reconstruction against the original 3D dataset. This report describes the general approach to 3D vascular reconstruction and the computer program used to perform the final reconstruction step. The results suggest that accurate, 3D reconstruction of intracranial vessels is indeed possible from as few as two projection views.