Mathematical Modeling and Numerical Simulation of Magnetic Susceptibility Artifacts in Magnetic Resonance IMAGING*

This work was carried out within the framework of the research group G.l.S. biomateYiaux m£talliques at the University of Rennes 1, France.

Abstract

The technique used to recognise information in Magnetic Resonance Imaging (MRI) is based on electromagnetic fields. A linearly varying field (around 10⁻² Tesla per meter) is added to a strong homogeneous magnetic field (order of magnitude of approximately one Tesla). When these fields are disturbed by the presence of a paramagnetic material, in the sample for instance, the resulting image is usually distorted, these distortions being termed artifacts. Our goal is to present a method, assuming the field disturbances are known, to construct the resulting images. A mathematical model of the MRI process is developed. The way the images are distorted in intensity and shape is explained and an algorithm to simulate magnetic susceptibility artifacts is deduced.

Keywords:

• Mathematical modeling
• numerical simulation
• magnetic resonance imaging
• biomedical implant
• artifact

Notes

This work was carried out within the framework of the research group G.l.S. biomateYiaux m£talliques at the University of Rennes 1, France.

Additional information

Notes on contributors

S. BALAC

E-mail: [email protected]

G. CALOZ

Correspond ing Author: E-mail: [email protected]