  In this paper, we present a discussion on the algorithms design of Electrical
Impedance Tomography (EIT) for biomedical applications. Based on the Maxwell
differential equations and the derived the finite element(FE) linear equations,
we first investigate the possibility to estimate the matrix that contains the
impedance values based on Singular Value Decomposition(SVD) approximations.
Secondly based on the biomedical properties we further explore the possibility
to recover the impedance values uniquely by injecting various different types
of currents with multi-frequency. Injecting various types of multi-frequency
currents lead to a set of different measured voltages configurations, thus
enhance the possibility of uniquely recovering the impedance values in a stable
way under the assumption that the biological cells respond to the different
type of injecting currents in a different way.
