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Reconstruction of Parameters of a Set of Radiant Points from Their Images

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Abstract

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.

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Funding

The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0009).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia

    E. Yu. Derevtsov

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  1. E. Yu. Derevtsov
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Correspondence to E. Yu. Derevtsov.

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Derevtsov, E.Y. Reconstruction of Parameters of a Set of Radiant Points from Their Images. Sib. Adv. Math. 33, 278–292 (2023). https://doi.org/10.1134/S1055134423040028

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  • DOI: https://doi.org/10.1134/S1055134423040028

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