A motion-corrected magnetic resonance imaging method comprises: sequentially acquiring a plurality of interleaved magnetic resonance radial acquisition datasets using a magnetic resonance scanner; reconstructing each magnetic resonance radial acquisition dataset into a corresponding image to generate a set of images, the reconstructing including expanding radial k-space lines of the magnetic resonance radial acquisition dataset into corresponding radial bands in k-space using a generalized auto-calibrating partially parallel acquisition (GRAPPA) operator; selecting a reference image from the set of images; performing three-dimensional spatial registration of each image of the set of images except the reference image with respect to the reference image to generate a spatially registered set of images; and combining the spatially registered set of images to generate a motion corrected image.