Image reconstruction of spherical inclusions in ferromagnetic structures using the generalized inverse

The generalized inverse method and singular value decomposition were used to reconstruct the magnetic image of small spherical inclusions in ferromagnetic structures. These techniques were used on the magnetic flux leakage generated when the structure is magnetized. The leakage field from the inclusions was simulated by using a simple constant-permeability model. The recovery model used a grid of magnetic dipoles at the region of the inclusions. The ability of the technique to distinguish between different distributions of inclusions with similar leakage fields is analyzed. The results demonstrates the feasibility of imaging multiple inclusions within the structure.