In a magnetic resonance method and apparatus for generating perfusion images, a perfusion series of magnetic resonance perfusion images is acquired that includes tag images and at least one control image, that are grouped in pairs. From each pair an initially processed perfusion image is obtained, such as by subtraction. Each initially processed image is subjected to a quality control review by analysis with respect to at least one image quality criterion. Any initially processed image that does not satisfy the quality criterion is rejected. Only initially processed images that satisfy the quality criterion are combined to form a resultant magnetic resonance perfusion image. Artifacts in the resultant perfusion image are thereby reduced or avoided.