A method for reconstructing a real object function from the intensity of its Hartley transform is proposed. This method is established as a closed-form expression by making use of the mathematical properties of entire functions of the exponential type. The usefulness of the method is shown in computer-simulation studies of the reconstruction of the one-dimensional real object from its Hartley intensity. In addition it is shown that the theory developed in one dimension is straightforwardly extended to two dimensions.
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Nobuharu Nakajima (1988) studied this question.
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