1. A method to generate diffusion information representing diffusion of predetermined molecules in tissue of a subject, comprising: operating a magnetic resonance data acquisition unit, in which a subject is located, to obtain a plurality of diffusion-weighted magnetic resonance images of the subject, with each of said diffusion-weighted magnetic resonance images being generated with a respective, individual diffusion gradient; in a computerized processor, sorting the diffusion gradients to produce, after sorting, respective groups of said diffusion gradients with a predetermined number of said diffusion gradients in each group and each of said diffusion gradients belonging to at least one of said groups, to place diffusion gradients in respective groups that are, within the respective groups, as linearly independent of each other as possible; in said processor, for each of said groups, combining the respective magnetic resonance images that were generated using the respective diffusion gradients in the respective group to form, for each group, a magnetic resonance result image; in said processor, determining spatial transformations between respective magnetic resonance result images that represent movement of said subject that exists in the respective magnetic resonance result images for which the spatial transformation is determined; in said processor, using the respective spatial transformations between respective magnetic resonance result images to modify the respective magnetic resonance result images to account for said movement in bringing the respective magnetic resonance result images into registration with each other; and in said processor, forming diffusion information based on the modified magnetic resonance result images.