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The use of frequency swept or frequency diversity techniques to achieve, superresolution in the imaging of three-dimensional perfectly conducting objects is studied and demonstrated by computer simulations. The frequency swept imaging concept is found to be a generalization of the inverse scattering theory. By invoking Fourier domain projection theorems, it is demonstrated analytically that images of separate slices of three-dimensional targets can be obtained, thus establishing the feasibility of a tomographic radar. Computer simulation results that verify these theories for extended and composite point scattering objects are presented.