Abstract: | An algorithm for the recovery of the parameter field of elastic waves by the method diffraction tomography is suggested. A priori information is taken into account in probabilistic form. Under different assumptions on the statistical correlations of the parameter field, different modifications of the algorithm are considered. The notion of the information sensitivity of the measurement field with respect to a fixed linear parameter field is introduced. It is shown that the greater the energy of the useful signal that has passed through the medium with a nonhomogeneity, the higher the information sensitivity of a given system of tomographic functionals.Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 239, 1997, pp. 225–235.This work was supported in part by the Russian Foundation for Basic Research (Grant No. 96-05-65904). |