Improving image reconstruction in electrical impedance tomography by modifying the forward solution

A new approach for EIT image reconstruction, based on a modified forward solution is proposed. In this approach, the EIT forward problem is solved via finite element method using two types of elements. At the early stage of the reconstruction, first order elements are used, and as the reconstruction error becomes lower than a predefined value, second order elements are used in the forward solution. The latter stage converges to the precise results in very few iterations. Since the solution speed with first order FEM is considerably higher than second order FEM, the reconstruction speed improves considerably by this approach. Numerical simulations and comparisons with other image reconstruction methods demonstrate the reliability and high solution speed of this approach.