1. In a magnetic resonance imaging system, a method for scanning a subject comprising the steps of: creating a relatively uniform magnetic field over a region of interest, said field tending to align magnetic moments within the subject; applying one or more excitation signals a number of times in the form of a pulse of radio frequency energy to reorient magnetic moments within the region of interest; applying one or more phase encode gradient field pulses in conjunction with said excitation signals to phase encode the region of interest, said gradient field pulses being changed for each repetition of said excitation signals; subsequent to the phase encoding of said region, monitoring signals generated by magnetic moments within the region in at least one sampling period; concurrently with the monitoring of magnetic moment generated signals, applying at least one oscillating gradient field having an amplitude and frequency which gradient field oscillates a plurality of times during the sampling period and applying at least one static gradient field; reorganizing the monitored signals into a predetermined format; multiplying the reorganized signals with a frequency dependent filter signal having a filter frequency and a filter amplitude which are selected in accordance with the oscillating gradient field frequency and amplitude; and, creating an image of internal structure of the subject in the region of interest.