Abstract: A method of imaging and quantitatively measuring blood velocity distribution within a selected vessel employs Nuclear Magnetic Resonance cylindrical excitation of the sample to be imaged, followed by Fourier velocity encoding excitation along a second axis for selectively encoding molecules based upon their flow velocities, then sensing the re-radiated signal data acquired in the presence of a readout gradient to provide resolution along the cylindrical axis, and reconstructing a velocity profile. Spatial localization is accomplished with an excitation pulse having a cylindrical rather than slab geometry. This method can be combined with cardiac synchronization to measure flow dynamics or it can be applied without synchronization to measure steady flow. The geometry of the measurement is flexible in that the directions of flow sensitivity and geometric resolution are independent.