2D electrical capacitance tomography with sensors of non-circular cross sections using the factorization method

The factorization method is introduced to electrical capacitance tomography for sensors of non-circular cross sections in the paper. Unlike the traditional methods based on the sensitivity theorem, it is a direct algorithm for image reconstruction, as the gray value at each pixel can be obtained directly and independently. Since the test function was calculated according to sensors of circular cross sections, the reconstruction process was simple. Reconstructed images were obtained for sensors of non-circular cross sections using the conformal transformation. Both simulated and experimental results validated the feasibility and effectiveness of the factorization method in electrical capacitance tomography.