PIFON-EPT: MR-Based Electrical Property Tomography Using Physics-Informed Fourier Networks

no code implementations • 23 Feb 2023 • Xinling Yu, José E. C. Serrallés, Ilias I. Giannakopoulos, Ziyue Liu, Luca Daniel, Riccardo Lattanzi, Zheng Zhang

PIFON-EPT is the first method that can simultaneously reconstruct EP and transmit fields from incomplete noisy MR measurements, providing new opportunities for EPT research.

Denoising

MR-Based Electrical Property Reconstruction Using Physics-Informed Neural Networks

no code implementations • 23 Oct 2022 • Xinling Yu, José E. C. Serrallés, Ilias I. Giannakopoulos, Ziyue Liu, Luca Daniel, Riccardo Lattanzi, Zheng Zhang

Electrical properties (EP), namely permittivity and electric conductivity, dictate the interactions between electromagnetic waves and biological tissue.

A Fast Volume Integral Equation Solver with Linear Basis Functions for the Accurate Computation of Electromagnetic Fields in MRI

no code implementations • 6 Feb 2019 • Ioannis P. Georgakis, Ilias I. Giannakopoulos, Mikhail S. Litsarev, Athanasios G. Polimeridis

A stable volume integral equation (VIE) solver based on polarization/magnetization currents is presented, for the accurate and efficient computation of the electromagnetic scattering from highly inhomogeneous and high contrast objects. We employ the Galerkin Method of Moments to discretize the formulation with discontinuous piecewise linear basis functions on uniform voxelized grids, allowing for the acceleration of the associated matrix-vector products in an iterative solver, with the help of FFT.

Numerical Analysis Computational Engineering, Finance, and Science