Geodesic
Estimation of the efficiency of the method of hierarchical reconstruction for the problem of the reconstruction of discrete scattering centers from projections
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 2, pp. 62-71

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We study the actual problem of determining the maximal set for the set of points in $\mathbb R^3$ from the set of two-dimensional projections. This problem arises naturally in the applications of physical hydrodynamics for the optical diagnostics of real flows of liquid and gas by measuring the instantaneous rate fields in the volume of flow. We propose a method for reconstructing the given set and determining the sufficiency of the measurements for the uniqueness of a solution to the inverse problem for parallel and perspective projections. A statistical evaluation for the efficiency of the reconstruction method is obtained.
Keywords: 3D reconstruction of point objects, particle image velocimetry, 3D PTV, inverse problems. 
@article{SJIM_2013_16_2_a5,
     author = {A. N. Bondarenko and V. A. Dedok and L. A. Kozinkin and M. P. Tokarev},
     title = {Estimation of the efficiency of the method of hierarchical reconstruction for the problem of the reconstruction of discrete scattering centers from projections},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {62--71},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_2_a5/}
}
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A. N. Bondarenko; V. A. Dedok; L. A. Kozinkin; M. P. Tokarev. Estimation of the efficiency of the method of hierarchical reconstruction for the problem of the reconstruction of discrete scattering centers from projections. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 2, pp. 62-71. http://geodesic.mathdoc.fr/item/SJIM_2013_16_2_a5/