1. A method for functional visualization and localization of an arteriovenous malformation with an X-ray tomographic examination by a rotatable imaging system, comprising: scanning a patient in an examination region containing the arteriovenous malformation by the rotatable imaging system; generating a plurality of projections at different projection angles over a predetermined projection angle range during a contrast agent uptake time; subdividing the plurality of projections into at least three partial projection datasets comprising cohesive partial projection angle ranges, wherein projections in each partial projection dataset belong to different consecutive time windows during the scan; reconstructing a time series of tomosynthesis image datasets each from the projections in each partial projection dataset using a digital tomosynthesis method; determining vessels flooded by the contrast agent in each of the different consecutive time windows from the time series of the tomosynthesis image datasets; assigning the vessels flooded first to arterial vessels and the vessels flooded last to venous vessels; localizing the arteriovenous malformation based on the assigning of progression of the contrast agent over time in the vessels; and marking a region lies in a vicinity of an only connection of a nidus to the arterial vessels based on the localization of the arteriovenous malformation in which a treatment is applied for occluding a patency of the arteriovenous malformation between the arterial vessels and the venous vessels.