Topology Optimization Applied to 2d and 3d Electrical Impedance Tomography

Electrical Impedance Tomography (EIT) is an imaging technique which tries to find conductivity distribution inside a section of body. The EIT deals with an inverse problem in which given the measured voltages on electrodes it estimates the conductivity distribution by using an image reconstruction algorithm. EIT can be used in several applications and, recently, it has been applied for obtaining images in medical applications. Several types of reconstruction algorithms have been reported and used. In this work, images of lungs are obtained by applying Topology Optimization Method as reconstruction algorithm in EIT. Solution of this optimization problem is obtained combining the Finite Element Method and a sequential Linear Programming algorithm (SLP). Since it is an ill-posed problem, regularization schemes based on spatial filters and included constraints are used. The SLP allows to include easily regularization schemes and to work well even though under high noisy measurements. Reconstruction of some 2D and 3D examples using numerical and experimental data are shown.