In a method and a magnetic resonance tomography system, at least two temporally separate original data sets are acquired with one phase measurement value being acquired for each pixel in each original image data set. An optimization technique for the shared calculation of corrected phase values for the pixels in the data sets is implemented in a computer, wherein the corrected phase values of the pixels in a first of the data sets is in each case dependent at least on the phase measured value of the pixel at the same location in a second of the data sets which is recorded beforehand or afterwards, and the corrected phase values of the pixels in the second data set are in each case dependent at least on the phase measured value of the pixel at the same place in the first data set. Corrected image data sets are generated from the corrected phase values.