The invention relates to a method of correcting inhomogeneities / discontinuities in MR perfusion images of the myocardium of a patient, which perfusion images relate time-sequentially to a preliminary phase which precedes the administration of a contrast medium and to an examination phase which succeeds the administration of the contrast medium, the perfusion images from the examination phase being corrected, in a correction step, for a detected intensity variation of the perfusion images from the preliminary phase, the perfusion images from the preliminary phase being transformed, prior to the correction step, in such a manner that pixels or groups of pixels thereof register with corresponding pixels or groups of pixels of the perfusion images from the examination phase.