Geodesic
A formula for the gradient of the output signal in positron emission tomography
Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 1, pp. 121-128

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The work is devoted to the study of qualitative properties for the mathematical model of positron emission tomography. The model is the integral transform of unknown function describing the distribution of activity sources. We propose a formula for the gradient of the output signal. We give conditions under which the gradient of the output signal will have a singularity. 
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     author = {I. P. Yarovenko},
     title = {A formula for the gradient of the output signal in positron emission tomography},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {121--128},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2015_15_1_a10/}
}
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I. P. Yarovenko. A formula for the gradient of the output signal in positron emission tomography. Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 1, pp. 121-128. http://geodesic.mathdoc.fr/item/DVMG_2015_15_1_a10/