Communications of the
Korean Mathematical Society CKMS

The aim of EIT (electrical impedance tomography) system is to image cross-sectional conductivity distribution of a human body by means of both generating and sensing electrodes attached onto the surface of the body, where currents are injected and voltages are measured. EIT has been suffered from the severe ill-posedness which is caused by the inherent low sensitivity of boundary measurements to any changes of internal tissue conductivity values. With a limited set of current-to-voltage data, figuring out full structure of the conductivity distribution could be extremely difficult at present time, so it could be worthwhile to extract some necessary partial information of the internal conductivity. We try to extract some key patterns of current-to-voltage data that furnish some core information on the conductivity distribution such as location and size. This overview provides our recent observation on the location search and the size estimation.

Keywords: inverse conductivity problem, anomaly detection, location and size estimation

MSC numbers: 35R30, 62P30, 65N21