Boundary Element Method for an Inverse Problem in Magnetic Resonance Imaging Gradient Coils
Liviu Marin1, Henry Power1, Richard W. Bowtell2, Clemente Cobos Sanchez2, Adib A. Becker1, Paul Glover2，Arthur Jones1
CMES-Computer Modeling in Engineering & Sciences, Vol.23, No.3, pp. 149-174, 2008, DOI:10.3970/cmes.2008.023.149
Abstract We investigate the reconstruction of a divergence-free surface current distribution from knowledge of the magnetic flux density in a prescribed region of interest in the framework of static electromagnetism. This inverse problem is motivated by the design of gradient coils for use in magnetic resonance imaging (MRI) and is formulated using its corresponding integral representation according to potential theory. A novel boundary element method (BEM) which employs linear interpolation on quadratic surfaces and also satisfies the continuity equation for the current density, i.e. a divergence-free BEM, is presented. Since the discretised BEM system is ill-posed More >
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