Different regularization methods for an inverse magnetostatic problem

The resolution of inverse problems is a quite common task in the diagnostic processes based on electromagnetic field measurements, in particular when internal characteristics of the object under test must be estimated from external measurements. This class of problems are well known to be ill posed, and a number of different regularization techniques have been proposed to make the estimation process reliable. In this paper, with reference to an application in the framework of low frequency magnetic fields measurements, a comparison of some regularization techniques is presented, in order to highlight advantages and drawbacks of each in the proposed application.