J. Bittoun et al., HIGH-PRECISION MR VELOCITY MAPPING BY 3D-FOURIER PHASE ENCODING WITH A SMALL NUMBER OF ENCODING STEPS, Magnetic resonance in medicine, 29(5), 1993, pp. 674-680
The final result of Fourier velocity mapping is a set of images, each
representing the spatial distribution of spins at a given velocity. To
acquire data in a short time, the number of encoding gradient steps m
ust be as small as possible, but this can mean sacrificing velocity re
solution. We used interpolation methods to obtain high velocity resolu
tion with a small number of encoding steps involving linear interpolat
ion from 16 encoding steps or more and zero-filling interpolation from
two to eight encoding steps. Velocity measured by interpolated Fourie
r-flow encoding agreed well with values obtained using a calibrated ph
antom. A simulation of noise on the images of the phantom showed that,
for a given acquisition time, increasing number of encoding steps in
the Fourier flow encoding gave better precision for velocity measureme
nt than did averaging identical signals in phase-mapping methods.