Browsing by Author "Seo, Jin Keun"
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Item A direct tracking method for a grounded conductor inside a pipeline from capacitance measurements(2006-02) Woo, Hyenkyun; Kim, Sungwhan; Seo, Jin KeunItem Inverse conductivity problem with one measurement: Uniqueness of balls in R3(1996-07) Kang, H.; Seo, Jin KeunItem Level set based bimodal segmentation with stationary global minimum(2006-02) Lee, Suk-Ho; Seo, Jin KeunItem Mathematical framework for current density imaging due to discharge of electro-muscular disruption devices(2006-02) Lee, Jeehyun; Seo, Jin Keun; Woo, Eung JeItem On a nonlinear partial differential equation arising in Magnetic Resonance Electrical Impedance Tomography(2001-07) Kim, Sungwhan; Kwon, Ohin; Seo, Jin Keun; Yoon, Jeong-RockThis paper considers the fundamental questions, such as existence and uniqueness, of a mathematical model arising in MREIT system, which is electrical impedance tomography technique integrated with magnetic resonance imaging. The mathematical model for MREIT is the Neumann problem of a nonlinear elliptic partial differential equation $\div\left(\frac{a(x)}{|\na u(x)|}\na u(x)\right)=0$. We show that this Neumann problem belongs to one of two cases: either infinitely many solutions or no solution exist. This explains rigorously the reason why we have used the modified model in [7] which is a system of the Neumann problem associated with two different Neumann data. For this modified system, we prove a uniqueness result on the edge detection of a piecewise continuous conductivity distribution.Item On the convergence of the harmonic Bz algorithm in magnetic resonance electrical impedance tomography(2006-05) Liu, J.J.; Seo, Jin Keun; Sini, M.; Woo, Eung Je