A two-dimensional microwave system is developed to explore the possibility of imaging the distribution of dielectric permittivity in an inhomogeneous biological body. A multiview approach is presented, which can notably improve the system's performance; it makes use of an illumination source that rotates jointly with the observation domain in which the scattered electric field is to be measured. The equation for inverse electromagnetic scattering is transformed into matrix form through the application of the moment method. A pseudoinversion algorithm is used to determine the distribution of the dielectric properties of the scattering body. A look-up table is devised to quickly form the final image. The results of some numerical simulations are reported to point out the capabilities and limitations of the method.