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February  2008, 2(1): 43-61. doi: 10.3934/ipi.2008.2.43

2D EIT reconstructions using Calderon's method

Jutta Bikowski 1, and  Jennifer L. Mueller 2,

1. 

Department of Mathematics, Colorado State University, Fort Collins, CO 80523, United States
2. 

Department of Mathematics, Colorado State University, Fort Collins, CO 80523,, United States

Received  June 2007 Revised  January 2008 Published  January 2008

The pioneering work ''On an inverse boundary value problem'' by A. Calderón has inspired a multitude of research, both theoretical and numerical, on the inverse conductivity problem (ICP). The problem has an important application in a medical imaging technique known as electrical impedance tomography (EIT) in which currents are applied on electrodes on the surface of a body, the resulting voltages are measured, and the ICP is solved to determine the conductivity distribution in the interior of the body, which is then displayed to form an image. In this article, the reconstruction method proposed by Calderón is implemented in 2D for both simulated and experimental data including perfusion data collected on a human chest.
Keywords: electrical impedance tomography, Calderón's method., inverse conductivity problem.
Mathematics Subject Classification: Primary: 35R30, 35R05; Secondary: 65N2.
Citation: Jutta Bikowski, Jennifer L. Mueller. 2D EIT reconstructions using Calderon's method. Inverse Problems & Imaging, 2008, 2 (1) : 43-61. doi: 10.3934/ipi.2008.2.43
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