Disclosed is an effective algorithm to correct motion-induced phase error
using an iterative reconstruction. Using a conjugate-gradient (CG)
algorithm, the phase error is treated as an image encoding function.
Given the complex perturbation terms, diffusion-weighted images can be
reconstructed using an augmented sensitivity map. The mathematical
formulation and image reconstruction procedures are similar to the SENSE
reconstruction. By defining a dynamic composition sensitivity, the CG
phase correction method can be conveniently incorporated with SENSE
reconstruction for the application of multi-shot SENSE DWI. Effective
phase correction and multi-shot SENSE DWI (R=1 to 3) are demonstrated on
both simulated and in vivo data acquired with PROPELLER and SNAILS.