1. A method comprising: acquiring an undersampled magnetic resonance partially parallel imaging (MR-PPI) dataset using a plurality of radio frequency receive coils; and reconstructing the undersampled MR-PPI dataset to generate a reconstructed magnetic resonance (MR) image, the reconstructing including: (i) using a generalized auto-calibrating partially parallel acquisition (GRAPPA) operator or direct convolution to fill in at least some missing data of the undersampled MR-PPI dataset so as to generate an enhanced dataset comprising the undersampled MR-PPI dataset and missing data that is filled in by the operation (i), and (ii) using an algorithm other than a GRAPPA operator and other than direct convolution to reconstruct the enhanced dataset or to reconstruct the undersampled MR-PPI dataset using the enhanced dataset as an initialization dataset for an iterative reconstruction algorithm.