Electrical Impedance Tomography reconstruction using ℓ 1 norms for data and image terms

Electrical Impedance Tomography (EIT) calculates the internal conductivity distribution within a body from current simulation and voltage measurements on the body surface. Two main technical difficulties of EIT are its low spatial resolution and sensitivity to measurement errors. Image reconstruction using l 1 norms allows addressing both difficulties, in comparison to traditional reconstruction using l 2 norms. A l 1 norm on the data residue term reduces the sensitivity to measurement errors, while the l 1 norm on the image prior reduces edge blurring. This paper proposes and tests a general lagged diffusivity type iterative method for EIT reconstructions l 1 and l 2 minimizations can be flexibly chosen on the data residue and/or image prior parts. Results show the flexibility of the algorithm and the merits of the l 1 solution.