The purpose of this study is to consider the GRE signal phase in a voxel for short echo times, from an MRI-visible fluid induced by MRI-invisible magnetic inclusions. We find that the signal phase relates to the magnetometric demagnetization field. In Fourier space, this defines a magnetometric dipole kernel which can be used to perform QSM. Using the data from the 2016 QSM challenge, we show that applying the magnetometric dipole kernel increases the sharpness, and that it is possible to increase the sharpness of already made STI susceptibility maps.
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