An alternative approach to the image reconstruction for parallel data acquisition in MRI

Magnetic resonance imaging with parallel data acquisition requires algorithms for reconstructing the patient's image from a small number of measured k-space lines. In contrast to well-known algorithms like SENSE and GRAPPA and its flavours we consider the problem as a non-linear inverse problem. Fast computation algorithms for the necessary Frechet derivative and reconstruction algorithms are given. Copyright (C) 2007 John Wiley & Sons, Ltd.