Multi-Resolution Approaches for Inverse Scattering Problems

In the framework of microwave imaging, inverse scattering techniques currently represent the state-of-the-art for the quantitative reconstruction of the region under test. In such a framework, multi‐resolution techniques have recently appeared in order to increase the effectiveness of the inversion procedure. To properly deal with the ill‐posedness characterizing their mathematical model and at the same time enhance the achievable spatial resolution, such a paper presents and discusses several multi‐resolution approaches based on the use of multi‐resolution and suitable basis functions for the problem unknowns.