Magnetic Resonance Imaging measurement data used in our paper about 'Physics-based Reconstruction Methods for Magnetic Resonance Imaging' (DOI: 10.1098/rsta.2020.0196). (In version 2 the IR-FLASH data set was replaced with one which is from the same volunteer and slice as the ME-SE data set.) The data is acquired from healthy volunteers and stored in the format of the BART toolbox (DOI: 10.5281/zenodo.592960). The acquisition parameters are shown in the following table: flip angle[◦] TR/TE/ Delta TE[ms] bandwidth [Hz/px] matrix spokes TA[s] FOV[mm] slice[mm] IR-FLASH 6 4.10/2.58 630 256 × 256 1020 4 192 5 ME-SE 90/180 2500/9.9/9.9 390 256 × 256 25 × 16 80 192 3 ME-FLASH 5 10.60/1.37/1.34 960 200× 200 33 × 7 0.35a 320 5 PC-FLASH 10 4.46/2.96 1250 210 × 210 2 × 7 15 320 5 fmSSFPb 15 4.5/2.25 840 192× 192 4 × 101 × 40 137 192 1