3D quantitative microwave imaging from sparsely measured data with Huber regularization

Reconstructing complex permittivity profiles of dielectric objects from measurements of the microwave scattered field is a non-linear ill posed inverse problem. We analyze the performance of the Huber regularizer in the application, studying the influence of the parameters under different noise levels. Moreover, we evaluate the whole approach on real 3D electromagnetic measurements. Our focus is on reconstructions from relatively few measurements (sparse measurements) to speed up the reconstruction process.