Electrical impedance tomography (EIT) is a noninvasive technique for imaging the conductivity distribution of an object by applying electric currents through the boundary of the object and recording the resulting voltages on the boundary as well. Potential applications are medical imaging, process tomography, and nondestructive testing of materials. In a practical setting currents are injected via finitely many electrodes and, usually, the same electrodes are used for voltage recording. From a mathematical point of view we have to deal with a parameter identification problem for the potential equation augmented by side constraints giving rise to the so-called complete electrode model (CEM). Although CEM describes the measurement process rather accurately the reconstructed conductivities suffer from dislocated electrodes, imperfect shape information, and inappropriate discretization schemes for CEM. In the present project, we propose to improve the reconstruction process by fine-tuning the object boundary shape, the electrode locations, and the discretization procedure as integral parts of the reconstruction algorithm.
DFG Programme
Research Grants
International Connection
Finland
