Correcting slice selection axis motion artifacts in MR imaging

Patient motion during data acquisition in magnetic resonance imaging causes artifacts in the reconstructed image, which appear as blurring and ghost repetitions of the moving structures. The acquired data are related to the image by the Fourier transform. With translational motion perpendicular to the imaging phase, the magnitude of the acquired data is corrupted. This magnitude retrieval problem can almost always be solved in theory provided the field of view is larger than the image. The restrictions on the manner in which the magnitude may be corrupted result in the problem being linear. The corruption is determined using a least squares estimate, then the data is corrected. The implementation of the algorithm allows rapid correction of images