Spatial resolution properties of QSM images using MEDI algorithm

Abstract

We investigated the spatial resolution of the MEDI reconstructed QSM images by deriving an analytical expression of the estimator in terms of the true QSM image. The implication of this expression is that no regularization will be applied to some part of the QSM images if the corresponding magnitude image area contains strong edges and relatively strong regularization will be applied to some part of the QSM images if the corresponding magnitude image area contains low magnitude values. Our simulations with a phantom and a in-vivo QSM image confirm this analysis; Impulse perturbations were suppressed on the area where the magnitude image has low contrasts and impulses were preserved on the area where the magnitude image has high contrast or edges.