1. A method for producing an image of a subject positioned in a field of view (FOV) of a medical imaging system, the steps comprising: a) acquiring, with a motion monitoring system, a signal indicative of motion in the subject; b) acquiring, with the medical imaging system, a plurality of image data sets of the subject positioned in the FOV at a corresponding plurality of time frames; c) reconstructing a sparsifying image by combining data from the plurality of acquired image data sets; d) producing a sparsifying image data set by transforming the sparsifying image reconstructed in step b); e) producing a difference image data set by subtracting the image data set acquired in a selected time frame from the sparsifying image data set produced in step d), wherein the selected time frame is selected using the signal indicative of motion in the subject acquired in step a); f) reconstructing a correction image using the difference image data set produced in step e); and g) subtracting the correction image from the sparsifying image reconstructed in step c) to produce an image of the subject at the selected time frame.