Title :
Effect of Domain Shape Modeling and Measurement Errors on the 2-D D-Bar Method for EIT
Author :
Murphy, Ethan K. ; Mueller, Jennifer L.
Author_Institution :
Worcester Polytech. Inst., Worcester, MA, USA
Abstract :
The D-bar algorithm based on Nachman´s 2-D global uniqueness proof for the inverse conductivity problem (Nachman, 1996) is implemented on a chest-shaped domain. The scattering transform is computed on this chest-shaped domain using trigonometric and adjacent current patterns and the complete electrode model for the forward problem is computed with the finite element method in order to obtain simulated voltage measurements. The robustness and effectiveness of the method is demonstrated on a simulated chest with errors in input currents, output voltages, electrode placement, and domain modeling.
Keywords :
bioelectric phenomena; biomedical electrodes; electric impedance imaging; finite element analysis; medical signal processing; signal reconstruction; 2D D-bar method; EIT; Nachman 2D global uniqueness proof; chest-shaped domain; domain shape modeling; electrode placement; finite element method; input currents; inverse conductivity problem; measurement error; output voltages; scattering transform; Computational modeling; Conductivity; Electrodes; Measurement errors; Reconstruction algorithms; Scattering; Shape measurement; Surface impedance; Tomography; Voltage; D-bar method; direct reconstruction algorithm; electrical impedance tomography; Algorithms; Computer Simulation; Electric Impedance; Finite Element Analysis; Fourier Analysis; Image Processing, Computer-Assisted; Tomography;
Journal_Title :
Medical Imaging, IEEE Transactions on
DOI :
10.1109/TMI.2009.2021611