1. A method of partial k-space data reconstruction where partial k-space data is initially acquired and all k-space data share a common point in k-space, said method comprising the steps of: a) forming a set of k-space data including the initially acquired data and first interpolated k-space data to provide a full set of data, b) forming spatial domain image data using the full set of k-space data, c) using the initially acquired data to establish phase of data, d) combining the time domain image data and the phase data, e) converting the combined data to k-space data, f) scaling the combined k-space data to have the same value as the initially acquired data at the origin, g) replacing interpolated data in the full set of k-space data with the scaled k-space data, and h) repeating steps b) through g) iteratively to converge the reconstruction of interpolated data.