Fast forward problem solver for image reconstruction by nonlinear optimization in electrical capacitance tomography

Electrical capacitance tomography can be used for industrial process imaging, for example multiphase flow. Image reconstruction complexity is one of the limiting factors of this technique. A custom-built method of calculating the forward problem is presented. A fast algorithm for solving the linear system with a band diagonal matrix was used. An application of the elaborated forward problem solver for nonlinear iterative image reconstruction is presented. The results of image reconstruction are presented for simulated and real objects.