Regularized modified Newton Raphson algorithm for electrical impedance tomography based on the exponentially weighted least square criterion

2002 ◽  
Author(s):  
Kyung Youn Kim ◽  
Bong Seok Kim ◽  
Min Chan Kim ◽  
Jung Hoon Lee ◽  
Jae Woo Park ◽  
...  
Keyword(s):  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Least Square ◽  
Impedance Tomography ◽  
Weighted Least Square ◽  
Newton Raphson ◽  
Raphson Algorithm ◽  
Exponentially Weighted

An efficient improvement of modified Newton-Raphson algorithm for electrical impedance tomography

1999 ◽  
Vol 35 (3) ◽  
pp. 1562-1565 ◽  
Author(s):  
Liyun Rao ◽  
Renjie He ◽  
Youhua Wang ◽  
Weili Yan ◽  
Jing Bai ◽  
...  
Keyword(s):  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Impedance Tomography ◽  
Newton Raphson ◽  
Raphson Algorithm

Modified newton-raphson method using a region of interest in electrical impedance tomography

2012 ◽  
Vol 61 (8) ◽  
pp. 1199-1205 ◽  
Author(s):  
Chan-Yong Kim ◽  
Jeong-Min Kang ◽  
Ji-Hoon Kim ◽  
Bong-Yeol Choi ◽  
Kyung-Youn Kim
Keyword(s):  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Region Of Interest ◽  
Impedance Tomography ◽  
Newton Raphson ◽  
Raphson Method

Image Theory for Electrical Impedance Tomography

2011 ◽  
pp. 117-144
Author(s):  
P. D. Einziger ◽  
M. Dolgin
Keyword(s):  
Inverse Problem ◽  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Physical Phenomenon ◽  
Stable Solution ◽  
Least Square ◽  
Image Theory ◽  
Reconstruction Procedure ◽  
Impedance Tomography ◽  
Piecewise Constant Conductivity

Image reconstruction by electrical impedance tomography is, generally, an ill-posed nonlinear inverse problem. Regularization methods are widely used to ensure a stable solution. Herein, we present a novel electrical impedance tomography algorithm for reconstruction of layered biological tissues with piecewise continuous plane-stratified profiles. The algorithm is based on the reconstruction scheme for piecewise constant conductivity profiles, which utilizes Legendre expansion in conjunction with improved Prony method. This reconstruction procedure, which calculates both the locations and the conductivities, repetitively provides inhomogeneous depth discretization, (i.e., the depths grid is not equispaced). Incorporation of this specific inhomogeneous grid in the widely used mean least square reconstruction procedure results in a stable and accurate reconstruction, whereas, the commonly selected equispaced depth grid leads to unstable reconstruction. This observation establishes the main result of our investigation, highlighting the impact of physical phenomenon (image theory) on electrical impedance tomography, leading to a physically motivated stabilization of the inverse problem, (i.e., an inhomogeneous depth discretization renders an inherent regularization of the mean least square algorithm).

CALIBRATION OF A LOW COST ELECTRICAL IMPEDANCE TOMOGRAPHY SYSTEM WITH A RING OF RESISTORS AND A KCL SOLUTION

2019 ◽  
Author(s):  
Bruno Furtado de Moura ◽  
francisco sepulveda ◽  
Jorge Luis Jorge Acevedo ◽  
Wellington Betencurte da Silva ◽  
Rogerio Ramos ◽  
...  
Keyword(s):  
Electrical Impedance Tomography ◽  
Electrical Impedance ◽  
Low Cost ◽  
Impedance Tomography ◽  
Tomography System
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