Sensitivity matrix analysis of the back-projection algorithm in Electrical Impedance Tomography

In Electrical Impedance Tomography, conductivity images can be reconstructed using a back-projection algorithm which is very similar to the ones used in other imaging modalities. In this study, the basic assumptions underlying the back-projection algorithm are investigated. Under these assumptions, a sensitivity matrix is derived relating the conductivity variation to the variation in gradients. A new image reconstruction method is suggested based on a minimization procedure which is equivalent to the solution of the sensitivity matrix equation in a generalized sense.