Two-Dimensional Electrical Properties Tomography Using a Simplified Contrast-Source Inversion Approach

The contrast source inversion (CSI) method is a well-known inversion technique that has been utilized in a wide range of application areas. Here we show that in the specific situation of electrical properties tomography (EPT) in magnetic resonance imaging (MRI), which is a so-called hybrid inverse problem, since data is collected inside the reconstruction domain, the CSI method can be simplified to what is essentially a single forward simulation provided the electromagnetic field has an E-polarized field structure. As a consequence, the computational costs are significantly reduced and our experiments show that reconstructions obtained with the simplified CSI method have essentially the same accuracy as reconstructions obtained with the full CSI inversion method.