In a method and apparatus for creating MR images of an examination volume, MR reference data of the examination volume are determined, and a local weighting matrix is determined using the MR reference data in order to extract MR data of the examination volume from MR signals measured in accelerated fashion with the local weighting matrix. Motion of the examination volume is determined while the MR signals measured in accelerated fashion from the examination volume are detected, whereby, if an adaptation of the reconstruction process is required when taking into consideration the determined motion, this proceeds by recalculation of the local weighting matrix taking into consideration the determined motion for correction of the determined motion, and application of the recalculated weighting matrix during the creation of the MR images which are calculated on the basis of the MR signals measured in accelerated fashion.