Patent ID: 7619411

Claim:
A method for producing images of a subject containing M spin species using a magnetic resonance imaging (MRI) system, the steps comprising: a) obtaining N k-space data matrices from N k-space data sets each acquired with the MRI system using a pulse sequence with an individual associated echo time t n , the N k-space data matrices each including corresponding data at the same plurality of Cartesian k-space locations; b) obtaining a time stamp corresponding to each of the plurality of k-space locations, wherein the time stamp is an indication of when corresponding data is acquired relative to a reference; c) for each k-space location, solving a system of linear equations in k-space to produce desired calculated k-space data which is corrected for chemical shift, the system of linear equations relating corresponding data from the N k-space data matrices, echo times and time stamps to the desired calculated k-space data; d) aggregating the calculated k-space data associated with the plurality of k-space locations to obtain a calculated k-space data set; and e) transforming the calculated k-space data set to image space to obtain a corresponding image.