Four-Dimensional Regularization for Electrical Impedance Tomography Imaging

This paper proposes 4-D EIT image reconstuction 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 ~ and measurement vector ~, which concatenate the values from the d previous and future frames. Images reconstruction is then based on an augmented regularization matrix ~, 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.