A study on a scaling algorithm for the reconstructed conductivity in CoReHA and a method for computing the magnetic flux density

Abstract

Magnetic resonance electrical impedance tomography (MREIT) is a conductivity imaging technique for providing high-spatial resolution. When current is injected through electrodes to an object, the magnetic flux density is generated by the internal current density. We measure the $z$-component of the magnetic flux density using an MR-machine. Then we reconstruct the conductivity using the harmonic $B_{z}$ algorithm which is a reconstruction algorithm to provide the cross-sectional conductivity imaging in MREIT utilizing only one component of the magnetic flux density. Since the conductivity image reconstruction in MREIT requires various steps of numerical computation, an MREIT software package with efficient user interface, so called CoReHA which stands for conductivity reconstructor using harmonic algorithms, has been presented. However CoReHA shows only the contrast of the conductivity. Thus, there is a need for scaling method to approximate the real conductivity from the conductivity produced by CoReHA. In this thesis, we present numerical results for phantom simulation using several scaling methods. Also, we consider a method for computing the magnetic flux density correctly.