Four-Dimensional Regularization for Electrical Impedance Tomography Imaging

This paper proposes 4-D EIT image reconstruction for functional EIT measurements. The approach directly accounts for 3-D interslice spatial correlations and temporal correlations between images in successive data frames. Image reconstruction is posed in terms of an augmented image x̃ and measurement vector ỹ, which concatenate the values from the d previous and future frames. Image reconstruction is then based on an augmented regularization matrix R̃, which accounts for a model with 4-D correlations of image elements, interslices and temporal frames. The temporal correlation matrix is objectively calculated from measurement data. Results of simulations are compared by reconstruction algorithms based on conventional 3-D and proposed 4-D priors. Keywords—Electrical Impedance Tomography, regularization, spatial and temporal priors, image reconstruction.