1. An MRI comprising: 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; and 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, the sparse sampling pattern varies from the center of k-space to the periphery, the sparse sampling factor of the sampling pattern varies in a progressively increasing manner from the center of k-space to the periphery, the progressively increasing sparse sampling pattern smoothly varies such that the first-order derivative of the sparse sampling factor plotted from the center of k-space to the periphery does not have any discontinuities.