| O. Kwon, E. Woo, J. Yoon, and J. K. Seo, Magnetic Resonance Electrical Impedance Tomography (MREIT) : Simulation Study of J-Substitution Algorithm, submitted for publication. |
....Neumann problem of a nonlinear elliptic partial di erential equation r a(x) jru(x)j ru(x) 0. We show that this Neumann problem belongs to one of two cases: either in nitely many solutions or no solution exist. This explains rigorously the reason why we have used the modi ed model in [7] which is a system of the Neumann problem associated with two di erent Neumann data. For this modi ed system, we prove a uniqueness result on the edge detection of a piecewise continuous conductivity distribution. 1. Introduction Magnetic resonance electrical impedance tomography(MREIT) is a new ....
....(See [14] MREIT is designed to overcome this severe ill posedness of EIT problem by making good use of a recent MRI technique, so called current density imaging (CDI) of measuring the internal current density distribution. See for related works [4, 6, 10, 11, 12, 15] In the recent paper [7], a new reconstruction algorithm for MREIT was developed to provide a high resolution conductivity image. This algorithm is based on a new mathematical modeling which is involved with a nonlinear partial di erential equation instead of the linear conductivity equation. Although the algorithm has ....
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O. Kwon, E. Woo, J. Yoon, and J. K. Seo, Magnetic Resonance Electrical Impedance Tomography (MREIT) : Simulation Study of J-Substitution Algorithm, submitted for publication.
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