Geodesic
The method for finding activity discontinues in positron emission tomography
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 694-703

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This paper deals with the inverse problem of a positron emission tomography. It is assumed that the outgoing radiation density is only given, and the task is to find the surface of an activity source. The uniqueness of the solution is proved, and the corresponding solution algorithm is outlined. Some numerical results are presented in graphical form for reconstructing the boundaries of unknown activity sources.
Keywords: positron emission tomography, radiation transfer theory. 
@article{SEMR_2016_13_a96,
     author = {I. P. Yarovenko},
     title = {The method for finding activity discontinues in positron emission tomography},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {694--703},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a96/}
}
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I. P. Yarovenko. The method for finding activity discontinues in positron emission tomography. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 694-703. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a96/