A magnetic resonance imaging (MRT) method for jointly estimating an image degradation and reconstructing an image of a subject in which that image degradation is mitigated is provided. The MRI system is operated to acquire multiple different k-space data sets that are acquired with different acquisition parameters so as to modulate the image degradation to be estimated. Using an iterative process, the image degradation is estimated while jointly reconstructing an image in which the estimated image degradation is mitigated.
