A tour of accelerated parallel MR imaging from a linear systems perspective

Parallel MR imaging has become a well-accepted method to improve image acquisition efficiency. improved efficiency enables one to increase resolution, decrease image acquisition time, or provide some balance of both. it is generally understood that the primary difference between each of the parallel MR methods is the domain in which each reconstruction solution is posed (e.g., the spatial domain [y, x], the k-space domain [k(y), Q, or a hybrid domain, [k(y), x]). This article presents an alternative approach in which a common analytic framework to comprehensively illustrate the relationship between a number of parallel MRI reconstruction methods is used. With this framework, we demonstrate that the analytic relationship between the various methods is more complex than the domain classification suggests. Furthermore, this framework enables one to identify the strengths of each particular method along with the similarities and contrasts between them. (c) 2005 Wiley Periodicals, Inc.