Multi-Resolution Inversion of Multi-Physics Data for Differential Biomedical Microwave Imaging

Microwave Imaging (MI) is emerging as a promising technology in biomedical imaging, serving as a complementary method to traditional techniques like X-ray and magnetic resonance imaging (MRI). However, its reliability is constrained by the challenges of solving an inverse scattering problem (ISP). In this context, this work proposes a novel approach based on the exploitation of both electromagnetic (EM) and acoustic (AC) data through a joint inversion framework, leveraging the complementary properties of these modalities to improve imaging accuracy and reliability. Prior information on the healthy/reference patient is taken into account by means of a differential formulation. Moreover, the adoption of a multiresolution scheme further refines image quality, while mitigating non-linearity and ensuring computational efficiency. An illustrative numerical example is shown to preliminarily assess its effectiveness.