Abstract: Positron emission tomography, possibly in combination with computed tomography, allows in addition to medical diagnostic imaging the quantitative determination of various parameters. Quantitative measurements using tomographs exhibit a severe and unavoidable dependency on the imaging properties of the respective tomograph, which makes quantitative assessment of the results difficult. This relates particularly to multicentric medical studies, which obligatorily require quantitative comparability of the data measured by the participating centers. The methods claimed herein include the definition of a virtual tomograph with defined imaging properties. The claimed methods also cover determination of the imaging properties of different tomographs on the basis of suitable reference measurements and possibly by using a calibration phantom.