Analytic solution to boundary integral computation of susceptibility induced magnetic field inhomogeneities

Stéphane Balac (1) , Hugues Benoit-Catton , Thomas Lamotte , Christophe Odet (2)

1 ICJ - Institut Camille Jordan
2 CREATIS - Centre de Recherche et d'Application en Traitement de l'Image et du Signal

A method to compute the magnetic field induced by susceptibility inhomogeneities in magnetic resonance imaging is presented. It is based on a boundary integral representation formulae. The integral is set over the surfaces between media of different magnetic susceptibilities. The computational procedure consists of approximating these surfaces with triangular mesh elements and using analytical expressions to compute the integral over each triangle. The proposed method supplies high accuracy and is easily paralleled. A detailed analysis for the convergence rate of the method is performed. Numerical results obtained for several samples, including a human head, are presented.

Mots clés: Susceptibility artifacts; Magnetostatics; Boundary integral method

Domaines: Analyse numérique [math.NA]; Imagerie médicale

Stéphane Balac, Hugues Benoit-Catton, Thomas Lamotte, Christophe Odet. Analytic solution to boundary integral computation of susceptibility induced magnetic field inhomogeneities. Mathematical and Computer Modelling, 2004, ⟨10.1016/S0895-7177(04)90516-X⟩. ⟨hal-01227674⟩