Electrical impedance tomography with basis constraints

In this paper, we consider the impedance tomography problem of estimating the conductivity distribution within the body from static current/voltage measurements on the body's surface. We present a new method of implementing prior information of the conductivities in the optimization algorithm. The method is based on the approximation of the prior covariance matrix by simulated samples of feasible conductivities. The reduction of the dimensionality of the optimization problem is performed by principal component analysis (PCA).