2D vs 3D Electrical Properties Tomography reconstruction: The impact of disregarding the third dimension.

Motivation: In Electrical Properties Tomography, often 2D reconstructions ignoring derivatives in the slice direction (often z) are performed instead of 3D reconstructions, without proper compensation. Goal(s): In this work, we investigate the quantitative influence on the reconstructed conductivity. Approach: This is done by experiments in a cylindrical phantom with homogeneous electrical properties in simulation and measurement. Furthermore, using simulations an indication is given of the importance of 3D reconstruction in several anatomical areas. Results: The contribution of the third dimension on the reconstructed conductivity is shown to be highly dependent on sample geometry. Therefore, disregarding this can only be done in specific cases. Impact: This work shows that the assumption of a negligible third dimension contribution as done in 2D EPT reconstruction is only accurate in specific cases. For most applications 3D reconstructions or proper compensation is needed.