A new approach to microwave imaging of 2-D inhomogeneous dielectric sc
atterers is presented. The method is developed in the space domain, an
d Markov Random Fields are used to obtain a model of the distributions
of dielectric features in the scattering region. In this way, a-prior
i knowledge can be easily inserted in the imaging scheme. This stochas
tic approach gives rise to a functional equation that can be minimized
by using a simulated annealing algorithm. An iterative scheme is deri
ved that allows one to bypass the need for storing large matrices in t
he computer. Numerical simulation results, confirming the capabilities
and effectiveness of the proposed method, are reported. Solutions hav
e generally been obtained in few steps, and seem better than those obt
ained by other imaging techniques in the space domain. The capability
of the algorithm to operate in a strongly noisy environment is also pr
oved.