Fast evaluation of the Biot-Savart integral using FFT for electrical conductivity imaging

DOI10.1016/J.JCP.2020.109408zbMath1436.65021OpenAlexW3012224666WikidataQ107014924 ScholiaQ107014924MaRDI QIDQ777604

Hassan Yazdanian, Axel Thielscher, Guilherme B. Saturnino, Kim Knudsen

Publication date: 7 July 2020

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109408

zbMATH Keywords

conductivityFFTmagnetic fieldforward problemBiot-Savart integral

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical integration (65D30)

Related Items (2)

Convergence Analysis of the Harmonic \(\boldsymbol{B_{{z}}}\) Algorithm with Single Injection Current in MREIT ⋮ Numerical conductivity reconstruction from partial interior current density information in three dimensions

Uses Software

• FFTW
• EIDORS
• OpenMEEG

Cites Work

• Multipole expansions and pseudospectral cardinal functions: A new generalization of the fast Fourier transform
• Numerical solution method for the \(\overline\partial\)-equation in the plane
• Mathematical Foundations of Imaging, Tomography and Wavefield Inversion
• Fast Magnetic Resonance Electrical Impedance Tomography with Highly Undersampled Data

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