1. A method for generating a magnetic resonance (MR) image, comprising: operating an MR scanner, comprising a radio-frequency (RF) coil array comprising a plurality of individual RF coils to acquire MR data from a subject while the subject is situated in the MR scanner; operating the MR scanner to acquire the MR data from the subject as datasets respectively acquired in parallel, from an examination volume of the subject, with multiple RF coils among said plurality of RF coils, including acquiring a first parallel dataset with at least two of said RF coils with said MR scanner operated according to a first parameter set and acquiring at least one further parallel dataset with said at least two of said RF coils with said MR scanner operated according to a second parameter set, each of said first and second parallel datasets comprising acquired data that are less than a total amount of data required to reconstruct an image of the examination volume, thereby requiring reconstruction using a calibration item to complete said total amount of data; providing said first and second parallel datasets to a processor and, in said processor, reconstructing a first intermediate image dataset and at least one further intermediate image dataset with at least one of (a) said first intermediate image dataset being reconstructed from said first parallel dataset using a calibration data item derived from said at least one further parameter set, and (b) said at least one further intermediate image dataset is reconstructed from said at least one further parallel dataset using a calibration data item derived from said first parameter set; and in said processor, generating a combination image dataset by combining said first intermediate image dataset and said at least one further intermediate dataset, and making said combination image dataset available at an output of said processor in electronic form as a data file.