3-D anisotropic electrical impedance imaging

A 3-D algorithm of anisotropic electrical impedance imaging is presented. The image reconstruction is based on the theory of the generalized incremental linear function with global sensitivity. The inverse calculation only deals with the conductivity-varying finite elements. The forward problem is solved by 3-D FEM and 1-D storage is utilized to save memory. The inverse of the stiffness matrix can also be stored in a one-dimensional way. A successful computer simulation shows that this algorithm can detect conductivity variations from 1% to 100% of the original conductivity with global sensitivity and the convergence is fast, so it is efficient and flexible.