Stable reconstruction of piecewise continuous plane stratified biological tissues via electrical impedance tomography.

Image reconstruction in electrical impedance tomography is, generally, an ill-posed nonlinear inverse problem. Regularization methods are widely used to ensure a stable solution. Herein, we present a case study, which uses a novel electrical impedance tomography method for reconstruction of layered biological tissues with piecewise continuous plane-stratified profiles.

Reconstruction of layered biological tissues via electrical impedance tomography.

The reconstruction of layered biological tissues, via electrical impedance tomography, is carried out by utilizing two alternative linear transformations, namely, Legendre polynomial expansion and Fourier Bessel transform. Both transformations are performed on a recently proposed image series expansion scheme in conjunction with the WKB approximation. The resultant spectrum posses a crucially important locality feature, assigning analytically to each spectral image term a local impedance associated with a unique layer, and thereby leading to efficient and accurate novel reconstruction procedures.