An MRI includes at least a singular imaging channel which uses a smoothly varying sampling pattern to sparsely sample k-space as a series of parallel lines over time to acquire data of an object. The MRI includes a computer in communication with the imaging channel that performs a signal processing routine to interpolate the data and fill in points of k-space which were not sampled by the imaging channels and produce an image of the object. A method for using an MRI includes the steps of acquiring data of an object with at least a singular imaging channel of the MRI which uses a smoothly varying sampling pattern to sparsely sample k-space as a series of parallel lines over time. There is the step of performing a signal processing routine with a computer in communication with the imaging channel to interpolate the data and fill in points of k-space which were not sampled by the imaging channels. There is the step of producing an image of the object.