A level sets algorithm for the inverse problem of electrocardiography

One of the key features of the heart´s electrical activity is the activation wavefront. The purpose of this work is to reconstruct the activation wavefront at each time instant from the measured potentials on the body surface by using a level sets based algorithm. We approximated the potential map of the heart surface as a two level image and we solve the inverse problem by evolving a boundary starting from an initial region, such that the residual error is minimized. The advantage of this method over standard activation-based solutions is that we do not require any isotropy assumption about cardiac activation.