Separable Laplace equation, magic Toeplitz matrix, and generalized Ohm's law (Q856125)

The author discusses separable Laplace equations, i.e. in which the conductivity function is a product of the angle and radius function. Both the direct and inverse problem are studied in several different domains using both analytical and numerical results. Most importantly, the author shows how to apply the theory to solve the inverse problem of constructing the conductivity of the normal breast, a procedure of extreme importance in electrical impedance tomography as applied to breast cancer detection. Outstanding and highly recommended paper.