Direct image reconstruction for ERT by using measurements on partial boundary

Calderon´s method was generalized to deal with the image reconstruction of electrical resistance tomography (ERT) from partial boundary measurements. The electrodes of the ERT sensor are located on part of its boundary, which indicates that the Dirichlet-to-Neumann map is obtained on an open subset of the whole boundary. However, the Dirichlet-to-Neumann map is typically approximated from the data collected on the whole boundary. Conformal transformation was used to link Dirichlet-to-Neumann map on partial boundary to that on the whole boundary. The implementation of Calderon´s method was based on the map constructed from measurements on partial boundary and conformal transformation. It was a direct algorithm of the image reconstruction, as the value of the conductivity at any position can be obtained independently. Simulated results validated the feasibility and effectiveness of the proposed method in ERT in the case of measurement on partial boundary.