Application of Laplacian-based Methods to Multi-echo Phase Data for Accurate Susceptibility Mapping

Abstract

In Susceptibility Mapping (SM) using multi-echo gradient-echo phase data, unwrapping and/or background-Òeld removal is often performed using Laplacian-based methods. However, SM pipelines in the literature have applied these methods at di×erent stages. Here, using simulated and acquired images, we compared the performance of three pipelines that apply Laplacian-based methods at di× erent stages. We showed that Laplacian-based methods alter the linearity of the phase over time. We demonstrated that only a processing pipeline that takes this into account, i.e. by Òtting the multi-echo data over time to correctly estimate a Òeld map before applying Laplacian-based methods, gives accurate susceptibility values