Method of maximum likelihood estimation of compact group objects location on CCD-frame
DOI:
https://doi.org/10.15587/1729-4061.2014.28028Keywords:
CCD frame, maximum likelihood method, compact group of asteroids, location estimation, CoLiTecAbstract
The urgency of developing computational methods of high-accuracy location estimation of nearby objects on a digital image is caused by a significant increase in penetrating power of optical systems. In this regard, the difficulty of achieving the required observation accuracy of nearby objects with statistically dependent images significantly increases.
The paper proposes a method that allows with potential accuracy to assess the location of several nearby objects on the CCD frame. Using sub-pixel Gaussian model for object image, high measurement accuracy was achieved. The method is based on the maximum likelihood method, which reduces the computational complexity of the method. The developed method can be used in operational automated asteroids detection systems, for example, in the CoLiTec program, to assess the location of several nearby statistically dependent objects.
This method is already being used in the operational automated asteroids detection system CoLiTec. The method has shown high accuracy in estimating the location of several nearby statistically dependent objects [14].
Implementation of the proposed method in CoLiTec software has increased the measurement accuracy of objects. Due to this, program users have improved their rating by the number of measurements of small solar system bodies. Namely, in 2012, among the most productive world observatories, observatories-users of CoLiTec have taken 9, 13, 22 places. According to the RMSD parameter, in pixels, objects location estimates, observatories-partners of CoLiTec for the 2012 have: ISON-NM Observatory (H15) – 0.25 pixels (5th place), Andrushevsky Astronomical Observatory (A50) - 0.23 pixels (3 place), ISON-Kislovodsk Observatory - 0.23 pixels (3rd place). Based on the average module of residuals, observatories-partners of CoLiTec also take leading positions in their class of telescopes. In 2012, this indicator was 0.061” (H15) and 0.06” (A50). So, according to this indicator, observatories H15 and A50 have taken 3 and 2 places among small aperture telescopes.
References
1. Shustov, B., Rykhlova, L. (2010). Asteroid and Comet Hazard: yesterday, today and tomorrow. Fizmailit, 384.
2. Veniamivov, S., Borovkin, G., Molotov, I., Naroenkov, S. (2013). The concept of counter space threats opposition system: the astronomical aspects. Solar System Research, 47 (4), 327–340.
3. Rykhlova, L., Bakanas, E., Barabanov, S., Busarev, V. (2013). Getting physical characteristics of selected asteroids approaching to Earth. RFFI, 43.
4. Kozyrev, E., Sibiryakova, E., Shulga, A. (2010). Astrometric reduction accuracy research using combined method of celestial objects observation. Space Science and Technology, 16 (5), 71–76.
5. Sokovikova, N., Savanevich, V., Bezkrovniy, M., Khlamov, S. (2013). Estimation of close asteroid coordinates on the CCD image. Eastern-European Journal of Enterprise Technologies, 4 (64), 41–44.
6. Miura, N., Itagaki, K., Baba, N. (2005). Likelihood-based Method for Detecting Faint Moving Objects. Astron J, 130 (3), 1278–1285. doi:10.1086/431955
7. Zacharias, N. (2010). UCAC3 PIXEL PROCESSING. The Astronomical Journal, 139 (6), 2208–2217. doi:10.1088/0004-6256/139/6/2208
8. Jogesh Babu, G., Mahabal, A., Djorgovski, S. G., Williams, R. (2008). Object detection in multi-epoch data. Statistical Methodology, 5 (4), 299–306. doi:10.1016/j.stamet.2008.02.003
9. Vereš, P., Jedicke, R., Denneau, L., Wainscoat, R., Holman, M. J., Lin, H.-W. (2012). Improved Asteroid Astrometry and Photometry with Trail Fitting. Publications of the Astronomical Society of the Pacific, 124 (921), 1197–1207. doi:10.1086/668616
10. Bauer, T. (2009). Improving the Accuracy of Position Detection of Point Light Sources on Digital Images. Proceedings of the IADIS Multiconference, Computer Graphics, Visualization, Computer Vision and Image Processing, Algarve, Portugal, 3–15.
11. Izmailov, I. S., Khovricheva, M. L., Khovrichev, M. Y., Kiyaeva, O. V., Khrutskaya, E. V., Romanenko, L. G. et. al. (2010). Astrometric CCD observations of visual double stars at the Pulkovo Observatory. Astronomy Letters, 36 (5), 349–354. doi:10.1134/s1063773710050051
12. Harris, W. (1990). A comment on image detection and the definition of limiting magnitude. Publications of the Astronomical Society of the Pacific, 102, 949–953. doi: 10.1086/132720
13. Veiga, C., Vieira Martins, R. (1995). Astrometric position determination of digitized. Astronomy and Astrophysics Supplement Series, 111, 387–392
14. Savanevich, V., Bryukhovetskiy, A., Kozhuhov, A., Dickov, E. (2010). Assessment asteroid coordinates on a digital image. Radio Engineering: All-Ukrainian interagency scientific and technical collection, 162, 78–86.
15. Savanevich, V. (1999). Determination of coordinates statistically dependent objects on the discrete image. Radio Electronics and Informatics, 3, 4–8
16. Savanevich, V., Bryukhovetskiy, A., Kozhuhov, A., Dickov, E., Vlasenko, V. (2012). The program of automated detection of faint celestial bodies CoLiTec. Space Science and Technology, 18(1), 39–46.
17. Lafreniere, D., Marois, C., Doyon, R., Nadeau, D., Artigau, E. (2007). A New Algorithm for Point‐Spread Function Subtraction in High‐Contrast Imaging: A Demonstration with Angular Differential Imaging. The Astrophysical Journal, 660 (1), 770–780. doi:10.1086/513180
18. Kozhykhov, A. (2011). Asteroid coordinates estimation on the discrete image. Radio Electronics and Youth in the XXI Century: 15th Anniversary International Youth Forum, 18-20 April 2011: compendium of forum, 3, 213–214
19. Zaks, Sh. (1975). The theory of static conclusions. Mir, 776
20. Bakhvalov, N., Zhidkov, N., Kobelkov, G. (2003). Numerical methods. Laboratory of Basic Knowledge, 632.
21. Demidovich, B., Maron, I. (1970). Fundamentals of computational mathematics. Science, 664
22. Minor Planet Center. MPC/MPO/MPS Archive. (2014). Available at : http://www.minorplanetcenter.org/iau/ECS/MPCArchive/MPCArchive_TBL.html
23. Minor Planet Center. Numbered-Residuals Statistics For Observatory Codes. (2013). Available at : http://www.minorplanetcenter.net/iau/special/residuals2.txt
24. Vavilova, I. B., Pakuliak, L. K., Shlyapnikov, A. A., Savanevich, V. E. (2012). Astroinformatic resource of Ukrainian Virtual Observatory (UKRVO): Joint observational data archive, scientific tasks and software. Kinematics and physics of celestial bodies, 28 (2), 59–80.
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Copyright (c) 2014 Любовь Олеговна Михайлова, Вадим Евгеньевич Саваневич, Наталья Сергеевна Соковикова, Михаил Михайлович Безкровный, Сергей Васильевич Хламов, Артём Витальевич Погорелов
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