S. Caorsi et al., A GIBBS RANDOM FIELD-BASED ACTIVE ELECTROMAGNETIC METHOD FOR NONINVASIVE DIAGNOSTICS IN BIOMEDICAL APPLICATIONS, Radio science, 30(1), 1995, pp. 291-301
A new approach to the reconstruction of dielectric properties of unkno
wn biological bodies is proposed, which is developed starting from an
integral equation formulation of the electromagnetic inverse scatterin
g problem. A Gibbs Random Field model is used to develop a stochastic
approach based on the Bayes theorem. An iterative solution is obtained
by the simulated annealing technique. The method integrates the impor
tant features of the spatial domain method with the possibility of tak
ing into account a priori information on the scatterers under test. No
large ill-conditioned matrix inversions are required. A two-dimension
al formulation is considered, involving cylindrical scatterers illumin
ated by transverse magnetic-wave incident fields. A multi-illumination
multiview reconstruction process is also performed. Some results on t
he reconstruction of strong scatterers are reported.