Proton NMR velocity images are obtained, in which the intensity is proportional a component of flow velocity, by velocity encoding the phase images. These velocity images of flowing water are constructed by a voxel-by-voxel linear regression of image phase versus m 1, a parameter which is proportional to the first moment of the magnetic field gradient and which is used to encode the constant but spatially varying velocity. At each image voxel the standard deviation of the velocity estimate is calculated and plotted as an image. This standard-deviation image provides a check on the accuracy of velocity calculations. The errors in the velocity calculations caused by eddy-current-induced phase shifts are discussed and two methods for reducing these errors are proposed. A pulse sequence with lower eddy-current sensitivity can be chosen and, in addition, static spins can be used for phase referencing. A pulse sequence consisting of time-shifted π pulses is shown to have lower eddy-current sensitivity than other pulse sequences considered. Phase referencing can be used with all methods of velocity encoding and reduces the eddy-current-induced velocity errors.
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