NEURAL-NETWORK APPROACH FOR COMPTON-SCATTERING IMAGING

The problem of image reconstruction with Compton-scattering spectral d ata is an ill-posed problem, and the measurement error may be seriousl y amplified in the reconstruction result. For a stable solution, some kinds of a priori models of the problem should be incorporated into th e process of reconstruction. Lee et al. [IEEE. Trans. Nucl. Sci. 40, 2 049 (1993)] have proposed a continuous model with binary line processe s. Owing to the coexistence of the continuous variable and the binary variable, the commonly used optimization methods for problems with con tinuous variables cannot be used in this case, and therefore a coupled -gradient artificial neural network was proposed for this mixed-intege r problem. By introducing two interacting parts (with one part for the continuous Variable and the other for the binary line processes) into the network, and by defining the appropriate energy function and dyna mics, high-quality solutions were obtained upon convergence of the dyn amics. Some simulated results are presented. (C) 1998 Optical Society of America.