1. A method for acquiring and producing images of a subject with a magnetic resonance imaging (MRI) system equipped with a plurality of receiver coils, the method comprising the steps of: (a) acquiring a plurality of MR data sets in k-space from at least two of said receiver coils; (b) computing at least one interpolation kernel that optimizes a cost function comprising: (i) a measure of data consistency; and (ii) a measure of predicted image distortions corresponding to aliasing effects; with both measures computed with respect to at least one of said MR data sets acquired in step (a); (c) performing interpolation of said MR data sets from step (a) using said one or more interpolation kernels from step (b) in k-space or via point-by-point multiplication in image space; and (d) reconstructing a plurality of images from the interpolated data sets produced in step (c).