FAST, NONLINEAR INVERSION FOR ELECTRICAL-IMPEDANCE TOMOGRAPHY

Electrical impedance tomography (EIT) is a non-invasive imaging techni que which aims to image the impedance within a test volume from electr ical measurements made on the surface. The reconstruction of impedance images is an ill-posed problem which is both extremely sensitive to n oise and highly computationally intensive. This paper defines an exper imental measurement in EIT, and calculates optimal experiments which m aximize the distinguishability between the region to be imaged and a b est estimate conductivity distribution. These optimal experiments can be derived from measurements made on the boundary. A reconstruction al gorithm, known as POMPUS, based on the use of optimal experiments is d erived. It is proved to converge given some mild constraints, and is d emonstrated to be many times faster than standard, Newton-based recons truction algorithms. Results using synthetic data indicate that the im ages produced by POMPUS are comparable to those produced by these stan dard algorithms.