Imaging homogeneous bodies via metamorphic curves and global optimization

This communication presents an inverse scattering method based on a global optimization scheme. The key point of the work is the use of metamorphic curves to achieve a convenient representation of the unknown contrast function. As a matter of fact, these algebraic curves allow to describe a wide range of shapes by means of few parameters, thus making the minimization of the cost functional that defines the solution of the inverse problem viable within a global optimization framework. Some examples are reported to assess the method.