Sparsity Constraint in Electrical Impedance Tomography: Complete Electrode Model
March 30, 2012
12:00 p.m.
Matthias Gehre
Abstract
We investigate the potential of sparsity constraints in the electrical impedance tomography (EIT) inverse problem of inferring the distributed conductivity based on boundary potential measurements.
We consider the complete electrode model, which is more sophisticated than the Neumann-to-Dirichlet map. It matches experimental data to measurement precision. We proceed by showing some analytical properties of the forward operator (mapping conductivity to measurements) using the W1,p regularity of the associated second order elliptic PDE. Those results allow us to justify a reconstruction approach based on minimizing a Tikhonov functional with an l1-penalty term. Finally we present some promising 2D and 3D reconstructions from experimental data.