Quantitative susceptibility mapping (QSM) is a promising technique for direct measure of iron concentration in vivo. In abdominal imaging, QSM faces challenges of strong background field, presence of fat, complex anatomy, low image resolution, and rapid signal decay with high iron concentration. Many methods for background field removal utilize spherical mean value property of harmonic functions, resulting in straightforward approach with known limitations in accuracy and edge preservation. Here, we propose an alternative background field removal method based on direct implementation of the Laplace operator and compare its performance with spherical mean value kernels within the joint QSM estimation framework.
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