1. A method of MR imaging of at least a portion of a body of a patient positioned in an examination volume of a MR device, the method comprising: with an MR controller, controlling at least one RF coil and gradient field coils in order to implement a multi-point Dixon imaging technique that generates calibration MR data for the portion of the body in the examination volume at a first image resolution; with one or more computer processors: reconstructing the calibration MR data into a B 0 field map, a water map, and a fat map, identifying fat and water regions of the portion of the body in the image volume from the water and fat maps, and selecting a frequency and bandwidth for each of a plurality of fat suppression pulses, with the MR controller, controlling the at least one RF coil and the gradient field coils that generate RF pulses including the plurality of fat suppression pulses and the switched magnetic field gradients in order to generate diagnostic image data at a second image resolution which is higher than the first image resolution; with the one or more processors: reconstructing a diagnostic MR image from the generated diagnostic image data at the second image resolution which is higher than the first image resolution, and having the one or more processors, identify pixels or voxels of the reconstructed diagnostic MR image in which the fat suppression is incomplete or has failed, by using the reconstructed B 0 field map and the reconstructed fat map along with the frequency and bandwidth of the plurality of fat suppression pulses.