Reconstruction of Parameters of a Set of Radiant Points from Their Images Full article
| Journal |
Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126 |
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| Output data | Year: 2023, Volume: 33, Number: 4, Pages: 278–292 Pages count : 15 DOI: 10.1134/S1055134423040028 | ||
| Tags | geometric tomography, inverse problem of optics, optical system, discrete tomography, radiant source, discrete distribution, uniqueness | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0009 |
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.
Cite:
Derevtsov E.Y.
Reconstruction of Parameters of a Set of Radiant Points from Their Images
Siberian Advances in Mathematics. 2023. V.33. N4. P.278–292. DOI: 10.1134/S1055134423040028 Scopus РИНЦ OpenAlex
Reconstruction of Parameters of a Set of Radiant Points from Their Images
Siberian Advances in Mathematics. 2023. V.33. N4. P.278–292. DOI: 10.1134/S1055134423040028 Scopus РИНЦ OpenAlex
Original:
Деревцов Е.Ю.
Определение параметров совокупности излучающих точек по их изображениям
Математические труды. 2023. Т.26. №2. С.62-85. DOI: 10.33048/mattrudy.2023.26.204 РИНЦ
Определение параметров совокупности излучающих точек по их изображениям
Математические труды. 2023. Т.26. №2. С.62-85. DOI: 10.33048/mattrudy.2023.26.204 РИНЦ
Dates:
| Submitted: | Jun 1, 2023 |
| Accepted: | Oct 5, 2023 |
| Published print: | Dec 14, 2023 |
| Published online: | Dec 14, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85179671377 |
| Elibrary: | 65463713 |
| OpenAlex: | W4389736193 |