Numerical complex analysis method for solving identification problems with using applied quasipotential tomographic data

The article deals with the problem of identification parameters of a piecewise homogeneous medium with using the applied quasipotential tomographic data when the data about the conductivity coefficient is incomplete. The method of image reconstruction, according to which solving of the analysis problem is reduced to the using numerical quasiconformal mappings methods and the synthesis problem is reduced to the solution the parametric identification problem when all possible variants of the conductivity distribution is considered. The reconstructed image of the conductivity distribution inside the investigated object on the basis of performed numerical calculations is constructed. The received results were analyzed. The proposed approach to reconstruction slightly increases the total number of iterations in some cases, but significantly simplifies the intermediate iterative problems solving.