In this study we use the consistency conditions of the Radon transform to a
id attenuation correction in PET. The conditions are used both for estimati
ng the parameters of a uniform elliptical attenuation distribution (without
any transmission measurements) and for correcting for patient motion betwe
en the transmission and emission acquisitions. The results show that, for a
uniform elliptical attenuation distribution, the reconstructed count densi
ties obtained using attenuation correction based on the consistency conditi
ons are within 1% of the true values. The method is shown to be fairly tole
rant to the effects of photon counting statistics and to small non-uniformi
ties in the attenuation distribution (such as skull attenuation). The resul
ts also show that the consistency conditions may be useful in correcting fo
r patient motion. The method is shown to effectively compensate for shifts
in two dimensions using both simulated and experimental data.