Time-space regularization of the inverse problem of electrocardiography

Our goal is to reconstruct the epicardial potentials (EPs) from measured body surface potentials. This non-invasive technique is useful for the diagnostics of cardio-vascular diseases. In our approach, the time-correlation between EPs is used as the regularizing a priori information. This information is introduced via the state-space representation previously proposed. Our contribution is the derivation of maximum likelihood estimators for identification of the parameters of the state-space model, and in a second stage, for determination of the EPs. Therefore, all unknown quantities are determined from the only available data: the body surface potentials