Method for mathematical correction of ghosts in an image after reflection from the beam splitter plate
Abstract
When testing the scientific equipment «Videospectral system», developed for use as part of the space experiment «Uragan» on the Russian segment of the International Space Station, a problem of double image (ghosts) was discovered. It has been established that this effect is due to the peculiarities of the optical design of the equipment: the image is formed on the matrix in light reflected from the beam splitter plate. A software method for correcting ghosts in images is proposed and its effectiveness is assessed. A primary model for the formation of ghosts in the image has been constructed. Based on the results of a study of the appearance of ghosts in images obtained by the scientific equipment «Videospectral system» when shooting collimated radiation from a point source on an optical stand, more complex laws of the spatial formation of ghosts were determined, in comparison with the primary model, which were clarified in the new model. The combination of the developed spatial-brightness model for the formation of ghosts and the recursive method of their correction made it possible to eliminate ghosts from images obtained by the scientific equipment «Videospectral system».
References
- Liepmann TW. Wedged plate beam splitter without ghost reflections. Applied Optics. 1992;31(28):5905–5906. DOI:10.1364/ AO.31.005905.
- Levin A, Zomet A, Weiss Y. Separating reflections from a single image using local features. In: Proceedings of the 2004 IEEE Computer Society conference on computer vision and pattern recognition. CVPR-2004; 2004 June 27 – July 2; Washington, USA. Volume 1. Los Alamitos: IEEE Computer Society; 2004. p. I-306–I-313. DOI:10.1109/CVPR.2004.1315047.
- Chung Y-C, Chang S-L, Wang J-M, Chen S-W. Interference reflection separation from a single image. In: 2009 Workshop on applications of computer vision (WACV-2009); 2009 December 7–8; Snowbird, USA. [S. l.]: IEEE; 2010. p. 1–6. DOI:10.1109/WACV. 2009.5403036.
- Li Y, Brown MS. Single image layer separation using relative smoothness. In: 2014 IEEE conference on computer vision and pattern recognition; 2014 June 23–28; Columbus, USA. Los Alamitos: IEEE Computer Society; 2014. p. 2752–2759. DOI: 10.1109/ CVPR.2014.346.
- Shih Y, Krishnan D, Durand F, Freeman WT. Reflection removal using ghosting cues. In: 2015 IEEE conference on computer vision and pattern recognition (CVPR); 2015 June 7–12; Boston, USA. [S. l.]: IEEE; 2015. p. 3193–3201. DOI: 10.1109/CVPR. 2015.7298939.
- Gai K, Shi Z, Zhang C. Blind separation of superimposed moving images using image statistics. IEEE Transactions on Pattern Analysis and Machine Intelligence. 2012;34(1):19–32. DOI: 10.1109/TPAMI.2011.87.
- Guo X, Cao X, Ma Y. Robust separation of reflection from multiple images. In: 2014 IEEE conference on computer vision and pattern recognition; 2014 June 23–28; Columbus, USA. Los Alamitos: IEEE Computer Society; 2014. p. 2195–2202. DOI: 10.1109/ CVPR.2014.281.
- Li Y, Brown MS. Exploiting reflection change for automatic reflection removal. In: 2013 IEEE International conference on computer vision. ICCV-2013; 2013 December 1–8; Sydney, Australia. Los Alamitos: IEEE Computer Society; 2013. p. 2432–2439. DOI: 10.1109/ICCV.2013.302.
- Punnappurath A, Brown MS. Reflection removal using a dual-pixel sensor. In: 2019 IEEE/CVF conference on computer vision and pattern recognition; 2019 June 15–20; Long Beach, USA. Los Alamitos: IEEE Computer Society; 2019. p.1556–1565. DOI: 10.1109/CVPR.2019.00165.
- Li T, Lun DPK, Chan Y-H, Budianto. Robust reflection removal based on light field imaging. IEEE Transactions on Image Processing. 2019;28(4):1798–1812. DOI: 10.1109/TIP.2018.2880510.
- Kong N, Tai Y-W, Shin JS. A physically-based approach to reflection separation: from physical modeling to constrained optimization. IEEE Transactions on Pattern Analysis and Machine Intelligence. 2014;36(2):209–221. DOI: 10.1109/tpami.2013.45.
- Pawan Prasad BH, Green Rosh KS, Lokesh RB, Mitra K, Chowdhury S. V-DESIRR: very fast deep embedded single image reflection removal. In: 2021 IEEE/CVF International conference on computer vision. ICCV-2021; 2021 October 10–17; Montreal, Canada. Los Alamitos: IEEE Computer Society; 2021. p. 2370–2379. DOI: 10.1109/ICCV48922.2021.00239.
- Belyaev MYu. Scientific equipment and Earth studies techniques in space experiment «Uragan» on board the International Space Station. Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa. 2021;18(3):92–107. Russian. DOI: 10.21046/ 2070-7401-2021-18-3-92-107.
- Belyaev MYu, Desinov LV, Karavaev DYu, Legostaev VP, Ryazantsev VV, Yurina OA. Features of imaging the Earth surface and using the results of the imaging made by the ISS Russian segment crews. Space Engineering and Technology. 2015;1:17–30. Russian. EDN: TZWTHH.
- Belyaev MYu, Desinov LV, Karavaev DYu, Legostaev VP. Use of ground surface survey from the ISS for the benefit of fuel and energy complex. Izvestiya Rossiiskoi akademii nauk. Energetika. 2013;4:75–90. Russian. EDN: REJWYN.
- Belyaev MYu, Desinov LV, Karavaev DYu, Sarmin EE, Yurina OA. The study of catastrophic events that may lead to environmental challenges under the program «Hurricane» onboard the Russian segment of the International Space Station. Kosmonavtika i raketostroenie. 2015;1:71–79. Russian. EDN: UJTWFJ.
- Belyaev MYu, Volkov ON, Solomina ON, Tertitsky GM. Animal migration studies with the use of Icarus scientific equipment in the Uragan space experiment aboard the ISS RS. Giroskopiya i navigatsiya. 2022;30(3):3–19. Russian. EDN: UTJSZC.
- Belyaev BI, Belyaev MYu, Sarmin EE, Gusev VF, Desinov LV, Ivanov VA, et al. Design and flight tests of science hardware «Videospectral system» on board the Russian segment of the ISS. Space Engineering and Technology. 2016;2:70–79. Russian. EDN: WCKDEN.
- Belyaev BI, Belyaev YuV, Domaratskii AV, Katkovskii LV, Krot YuA, Rogovets AV, et al. The photospectral system for the space experiment «Uragan». Space Science and Technology. 2010;16(2):41–48. Russian. DOI: 10.15407/knit2010.02.041.
- Prasanna Kumar KN, Kiranagi BS, Bagewadi CS. A general theory of the system «quantum information – quantum entanglement, subatomic particle decay – asymmetric spin states, non locality – hidden variables» – a concatenated model. International Journal of Scientific and Research Publications. 2012;2(7).
Copyright (c) 2024 Journal of the Belarusian State University. Physics

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The authors who are published in this journal agree to the following:
- The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
- The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
- The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)