Robust reconstruction of electrical conductivity using anatomically-informed quadratic fit

Magnetic resonance electrical properties tomography (MREPT), aiming at reconstructing the electrical conductivity and permittivity at radio frequencies. The related reconstruction algorithm relies on the numerical approximation of the Laplacian of the transceiver phase, an operation sensitive to noise. In this work, we evaluate whether 3D parabolic phase fitting combined with anatomical information obtained from T1-weighted and T2-weighted images can be used to improve the reconstruction of conductivity maps of the human brain at 3T.