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

Authors:
S Balac;H Benoit-Cattin;T Lamotte;C Odet
Affiliations:
MAPLY, UMR CNRS 5585 INSA de Lyon, 69621 Villeurbanne, France;CREATIS, UMR CNRS 5515 INSA de Lyon, 69621 Villeurbanne, France;CREATIS, UMR CNRS 5515 INSA de Lyon, 69621 Villeurbanne, France;CREATIS, UMR CNRS 5515 INSA de Lyon, 69621 Villeurbanne, France
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2004

Citing 3
Cited 1

Marching cubes: A high resolution 3D surface construction algorithm

SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Numerical evaluation of surface integrals in three dimensions

Mathematics of Computation
Induced magnetic field computations using a boundary integral formulation

Applied Numerical Mathematics

Fast approximate solution of Bloch equation for simulation of RF artifacts in Magnetic Resonance Imaging

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.98

Visualization

Abstract

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.