Geodesic
Reconstruction of parameters of a set of radiant points from their images
Matematičeskie trudy, Tome 26 (2023) no. 2, pp. 62-85

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Within the framework of geometric tomography, inverse problems of photometry, wave optics, and discrete tomography, we study questions on reconstruction of the spatial location and luminosity of a discrete distribution of radiant sources from its images obtained with the use of a small number of optical systems. We analyze the problem on finding geometric parameters of such a distribution and describe sources of ambiguity. We consider the inverse problem on reconstruction of a discrete distribution that consists of incoherent and monochromatic sources and suggest uniqueness criteria for its solution. We also suggest a constructive approach to numerical solution of the inverse problem on reconstruction of the coordinates and luminosity of a family of radiant pinpoint sources from their images. 
@article{MT_2023_26_2_a3,
     author = {E. Yu. Derevtsov},
     title = {Reconstruction of parameters of a set of radiant points from their images},
     journal = {Matemati\v{c}eskie trudy},
     pages = {62--85},
     publisher = {mathdoc},
     volume = {26},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2023_26_2_a3/}
}
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E. Yu. Derevtsov. Reconstruction of parameters of a set of radiant points from their images. Matematičeskie trudy, Tome 26 (2023) no. 2, pp. 62-85. http://geodesic.mathdoc.fr/item/MT_2023_26_2_a3/