We propose a family of π -scheme exponential Radon transforms (ERTs) of an object function, which characterize the data functions that arise in π -scheme single-photon emission computed tomography (SPECT) with uniform attenuation. Single-interval 180° acquisition in SPECT can be interpreted as a special case of the proposed π -scheme SPECT. We show the existence and uniqueness of the inverse π -scheme ERT and provide an iterative algorithm for obtaining the object function from the π -scheme ERT. Numerical results in our simulation studies confirm the mathematical results.
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Pan et al. (2002) studied this question.
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