Jacobian calculation for electrical impedance tomography based on the reciprocity principle

Electrical impedance tomography is a noninvasive method, which is particularly useful for patient monitoring. For reconstructing the interior of the human body, a finite-element model is established and the inverse problem is solved by means of a Gauss-Newton method, which requires the Jacobian, describing the mapping between voltage distribution on the body´s surface and the conductivity distribution in the interior. The calculation of the Jacobian has to meet an accuracy requirement as well as a minimal processing time requirement. In this paper, the reciprocity principle is applied to meet both requirements leading to good results for the reconstruction.