In Vivo Impedance Imaging With Total Variation Regularization

—We show that electrical impedance tomography (EIT) image reconstruction algorithms with regularization based on the Total Variation (TV) functional are suitable for in vivo imaging of physiological data. This reconstruction approach helps to preserve discontinuities in reconstructed profiles, such as step changes in electrical properties at inter-organ boundaries, which are typically smoothed by traditional reconstruction algorithms. The use of the TV functional for regularization leads to the minimization of a non-differentiable objective function in the inverse formulation. This cannot be efficiently solved with traditional optimization techniques such as the Newton Method. We explore two implementations methods for regularization with the TV functional: the Lagged Diffusivity method and the Primal Dual – Interior Point Method (PD–IPM). First we clarify the implementation details of these algorithms for EIT reconstruction. Next, we analyze the performance of these algorithms...

• Type: Journal
• Year: 2010
• Where: TMI
• Authors: Andrea Borsic, Brad M. Graham, Andy Adler, William R. B. Lionheart
• Keywords: Algorithms, TMI 2010, Traditional Quadratic Regularization, Traditional Reconstruction Algorithms