Nuclear spin tomography (synonym: magnetic resonance tomography, MRT) is applied in medicine for the purpose of examining patients. A method is proposed for improving the image homogeneity of image data from phase-cycled steady state sequences in magnetic resonance tomography. In the method, both the sum of squares (SOS) and the maximum intensity projection (MIP) are calculated, pixel-wise, from the image data of the participating sequences. Further, a result image optimized with regard to image homogeneity is obtained by pixel-wise combination of the sum-of-squares image and MIP image.