Factorization method for electrical resistance tomography with partial boundary measurements

Usually, the electrical resistance tomography is implemented by using measurements from all the available electrodes, i.e. all the boundary measurements. When the number of electrodes is very large, the reconstruction will be time consuming. The factorization method was generalized to the case of measurements on partial electrodes in this paper. The gray values in the vicinity of the partial measured electrodes were reconstructed and agree well with those calculated from all the electrodes. The computation complexity was also reduced as the matrix rank involved in the reconstruction was smaller. The simulated results validated the feasibility and effectiveness of the proposed method.