The attenuated Radon transform is the mathematical basis of single-photon emission-computed tomography. The case of constant attenuation is reviewed, and a new proof of the Tretiak–Metz algorithm is presented. A space-domain version of the inverse attenuated Radon transform is derived. A special case of this transform that is applicable when the object is rotationally symmetric, the attenuated Abel transform, is derived, and its inverse is found.
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Clough et al. (1983) studied this question.
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