In a method and medical imaging apparatus, for generating medical image data records, raw data of the examination object are acquired by operation of a medical imaging scanner, a reconstruction algorithm issued for reconstructing a medical image data record on the basis of raw data and of a value of a physiological parameter. At least two medical image data records are created by applying the reconstruction algorithm at least twice to the acquired raw data using a different virtual value of the physiological parameter each time. The at least two medical image data records are provided from the reconstruction computer.
