TY - JOUR
T1 - Resolution and stability analysis of an inverse problem in electrical impedance tomography
T2 - Dependence on the input current patterns
AU - Dobson, David C.
AU - Santosa, Fadil
PY - 1994
Y1 - 1994
N2 - Electrical impedance tomography is a procedure by which one finds the conductivity distribution inside a domain from measurements of voltages and currents at the boundary. This work addresses the issue of stability and resolution limit of such an imaging device. The authors consider the realistic case where only a finite number of measurements are available. An important feature of their approach, which is based on linearization, is that they do not discretize the unknown conductivity distribution. Instead, they define a pseudo-solution based on least-squares. A goal of this investigation is to compare the stability and resolution power of a system that uses dipole sources, with another that uses trigonometric sources. Findings are illustrated in numerical calculations.
AB - Electrical impedance tomography is a procedure by which one finds the conductivity distribution inside a domain from measurements of voltages and currents at the boundary. This work addresses the issue of stability and resolution limit of such an imaging device. The authors consider the realistic case where only a finite number of measurements are available. An important feature of their approach, which is based on linearization, is that they do not discretize the unknown conductivity distribution. Instead, they define a pseudo-solution based on least-squares. A goal of this investigation is to compare the stability and resolution power of a system that uses dipole sources, with another that uses trigonometric sources. Findings are illustrated in numerical calculations.
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U2 - 10.1137/S0036139992237596
DO - 10.1137/S0036139992237596
M3 - Article
AN - SCOPUS:0028728116
SN - 0036-1399
VL - 54
SP - 1542
EP - 1560
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
IS - 6
ER -