The invention is directed to a method and a device for separate three-dimensional presentation of arteries and/or veins of a vessel system in a part of the body of a vertebrate by a rotation computer tomography. A masking run of the tomograph is undertaken without contrast media around the part of the body. Then two filling runs with contrast media are executed, with the venous phase of vessel contrasting during the first filling run occurring during the arterial phase of vessel contrasting of the second filling run and vice-versa. The data from the first and second filling run is combined into data sets from the arterial or the venous phases of the vessel contrasting of the filling runs. The data of the masking run is subtracted from the combined data sets to obtain final data sets for a three-dimensional presentation of the arterial or the venous vessel system.
