TY - JOUR
T1 - ATTENUATED RADON AND ABEL TRANSFORMS.
AU - Clough, Anne V.
AU - Barrett, Harrison H.
PY - 1983
Y1 - 1983
N2 - The attenuated Radon transform is the mathematical basis of single-photon emission-computer 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.
AB - The attenuated Radon transform is the mathematical basis of single-photon emission-computer 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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U2 - 10.1364/JOSA.73.001590
DO - 10.1364/JOSA.73.001590
M3 - Article
AN - SCOPUS:0020845672
SN - 0030-3941
VL - 73
SP - 1590
EP - 1595
JO - Journal of the Optical Society of America
JF - Journal of the Optical Society of America
IS - 11
ER -