Abstract
A technique for tomographic imaging of electron density using the energy spectrum of Compton scattered gamma-rays is described. The energy-angle relationship for Compton scattering is utilized to determine the direction of scattered photons. A single-scattering forward mapping model is constructed to relate electron density to the detector response. The nonlinearity of the model, caused by accounting for pre- and post-scattering radiation attenuation, is dealt with by solving the inverse mapping iteratively. In order to assure convergence of the image reconstruction problem to a nonnegative and bounded solution, a variety of regularization algorithms are examined. The capabilities and limitations of these algorithms are demonstrated by reconstructing a number of images from Monte Carlo simulated measurements. Part II of this paper presents the experimental aspects of the technique.
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