An Adaptive Weighting Strategy for Microwave Imaging Problems

In the framework of microwave imaging applications, an innovative strategy aimed at addressing the multi-objective inverse scattering problem is proposed. Starting from the spatial-domain integral formulation, the original multi-objective problem is recast into a single-objective one by defining a suitable cost function as a linear combination of the data and state terms according to variable weighting parameters. By iteratively tuning these paramenters, the optimization procedure is forced to solve an 'almost' multi-objective problem avoiding the use of ad-hoc multiple-objective optimization methods and satisfying different objectives in a balanced way. Selected numerical results indicate that the use of such a strategy yields to accurate reconstructions, with noise-corrupted data as well, by improving the performances of the adopted optimization procedure.