A modified Gerchberg-Saxton algorithm for one-dimensional motion artifact correction in MRI

A novel method for the suppression of one-dimensional translational motion artifacts in two-dimensional Fourier transform magnetic resonance images is presented. It is shown that the motion causes an additional phase factor in the detected signal and that this phase error can be removed using a modified Gerchberg-Saxton (1972) algorithm. The major differences between this algorithm and other phase retrieval algorithms are: (1) the phase information is not totally unavailable, but in a corrupted form; and (2) the algorithm does not try to recover the entire phase information from the magnitude of the detected signal, but rather to correct the distorted phase using the average phase error. The method has been successfully tested using computer simulations. >