We consider modelling and imaging in EIT under some a priori inequality constraints on conductivity. Instead of constrained optimisation, we reformulate the model equations with respect to some monotone functions that encompass these constraints. We address the cases of positivity and boundness, posing the inverse problem using regularised nonlinear least squares. The results demonstrate significant spatial resolution improvements.

International Steering Committee on Electrical Impedance Tomography
15th International Conference on Biomedical Applications of Electrical Impedance Tomography (EIT 2014)
International Steering Committee on Electrical Impedance Tomography

Polydorides, Nick, Ouypormkochagorn, Taweechai, & McCann, Hugh. (2014). Inequality Constrained EIT Modelling and Inversion. In 15th International Conference on Biomedical Applications of Electrical Impedance Tomography (EIT 2014). International Steering Committee on Electrical Impedance Tomography.