2D ECT for sensors of non-circular cross sections using the factorization method

The factorization method was introduced to electrical capacitance tomography for sensors of non-circular cross sections in this paper. Unlike the traditional methods based on sensitivity theorem, it is a direct algorithm of the image reconstruction, as neither matrix inversion nor iterative process is needed. The reconstruction process was simple, as the test function was calculated according to sensors of circular cross sections. The reconstructed results are obtained for sensors of non-circular cross sections by using the conformal transformation. Simulation results validated the feasibility and effectiveness of the factorization method in electrical capacitance tomography.