Geodesic
Numerical experiments with the inhomogeneity indicator in positron emission tomography
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 1, pp. 140-149

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By means of numerical methods, the question is studied of applicability of the inhomogeneity indicator in positron emission tomography. The signal registered by the tomograph is described in terms of an imitation model using the Monte Carlo method. The possibility is demonstrated of the effective use of the inhomogeneity indicator for solving the problem under consideration. Some numerical results are presented in graphical form for reconstructing the boundaries of unknown activity sources.
Keywords: positron emission tomography, inhomogeneity indicator, Compton scattering, Monte Carlo method. 
@article{SJIM_2011_14_1_a12,
     author = {I. P. Yarovenko},
     title = {Numerical experiments with the inhomogeneity indicator in positron emission tomography},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {140--149},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_1_a12/}
}
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I. P. Yarovenko. Numerical experiments with the inhomogeneity indicator in positron emission tomography. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 1, pp. 140-149. http://geodesic.mathdoc.fr/item/SJIM_2011_14_1_a12/