Regularization Of The Inverse Epicardial Solution Using Linearly Constrained Optimization

A modification of the Tikhonov regularization method is proposed for a stable recovery of the solution to the Inverse Problem of Electrocardiography. It consists of optimization of the Tikhonov functional subject to additional constraints on the amplitudes derived from an overregularized Tikhonov solution. This optimization method, tested on a concentric spheres model, yields solutions that are more accurate than an optimal Tikhonov solution.