A harmonic -based conductivity reconstruction method in MREIT with influence of non-transversal current density. Issue 6 (3rd June 2018)

• Record Type: Journal Article
• Authors: Jeon, Kiwan; Lee, Chang-Ock; Woo, Eung Je
• Is Part Of: Inverse problems in science and engineering. Volume 26:Issue 6(2018)
• Page Start: 811
• Page End: 833
• Publication Date: 2018-06-03
• Subjects: MREIT -- Bz-based algorithm -- conductivity and current density reconstruction -- non-transversal current density -- phantom experiment; Engineering mathematics -- Periodicals; Inverse problems (Differential equations) -- Periodicals; 620.001515357
• DOI: 10.1080/17415977.2017.1352587
• Languages: English
• ISSNs: 1741-5977

Abstract

Abstract: Magnetic resonance electrical impedance tomography (MREIT) is a high-resolution conductivity imaging method utilizing measured magnetic flux density data induced by externally injected currents. Most MREIT image reconstruction methods including the harmonic B z algorithm adopt iterative schemes to handle the non-linear relation between conductivity and magnetic flux density. Iterative methods, however, may not guarantee a reliable conductivity reconstruction when the measured magnetic flux density data are contaminated with a significant amount of noise. In this paper, we propose a new image reconstruction method which alleviates the technical difficulties of the iterative harmonic B z algorithm. It effectively reduces the number of iterations by two at most. To improve the image quality, it incorporates the influence of non-transversal current densities. Providing theoretical observations and details of the proposed algorithm, we present results of numerical simulations and phantom experiments for its validation.