The Estimation of Impedance Coefficient of One-dimensional Electrical Impedance Tomography by a Lie-Group Shooting Method

• Main Authors: Jiong-An Lin, 林炯安
• Other Authors: Chein-Shan Liu
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/25778336685929912977

碩士 === 國立臺灣海洋大學 === 機械與機電工程學系 === 96 === The purpose of this thesis we are applying the Lie-Group Shooting Method (LGSM), which is a kind of special method for estimating the impedance coefficient of one-dimensional electrical impedance tomography. The problem of the one-dimensional electrical impedance tomography by the mathematical model is an inverse Sturm-Liouville boundary value problem. The method we employ is to transform the inverse Sturm-Liouville problem into a parameter identification problem of a heat conduction equation. Then a LGSM is developed to estimate the coefficients in a system of ordinary differential equations discretized from the heat conduction equation. Numerical examples were worked out, which show that the LGSM is applicable for estimating the impedance coefficient of one-dimensional electrical impedance tomography. Through this study, it can be concluded that the LGSM is accurate, effective, and stable. Its numerical implementation is very simple and the computational speed is very fast.