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Correction of rotational blur in images of stars observed by an astroinertial attitude sensor against the background of the daytime sky
N.N. Vasilyuk 1
1 Electrooptika, LLC, 107076, Moscow, Russia, Stromynka, d.18, k.1
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Full text of article: Russian language.
A rotational blur correction algorithm is considered as the initial stage of image processing in the problem of attitude measurement using a star tracker. To implement this algorithm, the star tracker must be equipped with a three-axis gyroscope. The algorithm does not guarantee the detection of an image of a star against the background of the daytime sky in one frame but facilitates conditions for subsequent image stacking. The correction aims to localize energy maxima of the blurred star images in pixels with predetermined characteristics. The correction highlights these pixels against the background and improves the signal-to-noise ratio, though deteriorating the artistic quality of the whole digital image. The key characteristic of the pixel of maximum localization is that it is where the geometric image of the star is found at the start of the exposure of the frame under correction. The correction is performed in the form of frame processing with a digital finite-impulse-response (FIR) filter. The impulse response of the filter is inhomogeneous and represents a core of rotational blur, synthesized in each pixel of the corrected frame. Algorithms for calculating levels of the signal, background, and noise in the image of a star observed against the background of the daytime sky with a rotating camera are described. Dependences of the signal-to-noise ratios in various pixels of a blurred image on the exposure time and on the angular velocity of the camera rotation are analyzed. The signal-to-noise ratios in the star image before and after the blur correction are calculated. The simulation results are illustrated by the example of an image of a bright star, clearly showing specific features of the proposed rotational blur correction algorithm.
daytime star tracker, gyroscope, daytime sky, rotational blur, blur correction, matched filter.
Vasilyuk NN. Correction of rotational blur in images of stars observed by an astroinertial attitude sensor against the background of the daytime sky. Computer Optics 2023; 47(1): 79-91. DOI: 10.18287/2412-6179-CO-1141.
- Gebgart AY, Kolosov MP. Design features of the lens objectives of celestial-orientation apparatus for spacecraft. J Opt Technol 2015; 82(6): 357-360. DOI 10.1364/JOT.82.000357.
- Baranov PS, Mancvetov AA. Optimization of the relationship of lens dissipation disk and pixel size to improve the precision of the coordinates of a small object image [In Russian]. Journal of the Russian Universities. Radioelectronics 2016; 2: 49-53.
- Baranov VN. On the question of image quality evaluation of point light sources during photoelectric observations in geodetic astronomy [In Russian]. Proceedings of Higher Education Institutions. Geodesy and Aerophotosurveying 1990; 2: 49-53.
- Bragin AA. Investigation of methods for determining the coordinates of the center of the image of a point source of radiation [In Russian]. Proceedings of Higher Education Institutions. Geodesy and Aerophotosurveying 2009; 5: 73-80.
- Avanesov GA, Kondratieva TV, Nikitin AV. Investigation of the displacement of the energy center of star images relative to the geometric center on a CCD matrix and correction of a methodological error [In Russian]. Mechanics, Control and Informatics 2009; 1: 421-446.
- Beresin VV, Tsytsulin AK. Revelation and evaluation of coordinates of point object images in problems of astronavigation and adaptive optics [In Russian]. Bulletin of Pacific National Univercity 2008; 1(8): 11-20.
- Zakharov AI, Nickiforov MG. Systematic and random errors of stellar photocenters location on matrix photodetectors [In Russian]. Mechanics, Control and Informatics 2011; (2): 280-288.
- Gayvoronsky SV, Kuzmina NV, Tsodokova VV. Focusing of the automated zenith telescope on the images of stars [In Russian]. XVI Navigation and Motion Control Conference 2014: 277-283.
- Osadchiy IS. The method of measurement of coordinates of star image with subpixel accuracy for space-based star trackers [In Russian]. Journal of Radio Electronics 2015; 5: 5.
- Zheng X, Huang Y, Mao X, He F, Ye Z. Research status and key technologies of all-day star sensor. J Phys Conf Ser 2020; 1510: 012027. DOI: 10.1088/1742-6596/1510/1/012027.
- Avanesov GA, Bessonov RV, Forsh AA, Kudelin MI. Analysis of current state and development prospects of star trackers of BOKZ family [In Russian]. Mechanics, Control and Informatics 2015; 7(2:55): 6-20.
- Zakharov AI, Prokhorov ME, Tuchin MS, Zhukov AO. Minimum star tracker specifications required to achieve a given attitude accuracy. Astrophysical Bulletin 2013; 68(4): 481-493. DOI: 10.1134/S199034131304010X.
- Avanesov GA, Bessonov RV, Dementiev VY, Mysnik EA. Results of full-scale testing of the star tracker BOKZ-M60/1000 [In Russian]. Mechanics, Control and Informatics 2015; 1(13): 180-189.
- Smetanin PS, Avanesov GA, Bessonov RV, Kurkina AN, Nikitin AV. Geometric calibration of high-precision star tracker by starry sky [In Russian]. Current Problems in Remote Sensing of the Earth from Space 2017; 14(2): 9-23. DOI: 10.21046/2070-7401-2017-14-2-9-23.
- Wang W, Wei X, Li J, Du J, Zhang G. Optical parameters optimization for all-time star sensor. Sensors 2019; 19(13): 2960. DOI: 10.3390/s19132960.
- Barbot L, Ferrari M, Montel J, Roehhli Y, Gach JL, Thuillot W, Dohlen K. Towards a daytime and low-altitude stellar positioning system: challenges and first results. Proc 2022 Int Technical Meeting of the Institute of Navigation 2022: 1371-1379. DOI: 10.33012/2022.18263.
- Avanesov GA, Bessonov RV, Kurkina АN, Mysnik EA, Liskiv АS, Ludomirskiy MB, Kayutin IS, Yamshikov NE. Development of autonomous strapdown stellar-inertial navigation system [In Russian]. Mechanics, Control and Informatics 2013; 1(13): 9-29.
- Bessonov RV, Zhukov BS, Karavaeva ES, Kondratieva TV, Shevelev VE. The basic principles of design of astrocorrector for endoatmospheric vehicles [In Russian]. Current Problems in Remote Sensing of the Earth from Space 2018; 15(6): 21-30. DOI: 10.21046/2070-7401-2018-15-6-21-30.
- Avanesov GA, Bessonov RV, Vavaev VA, Mysnik EA, Kurkina AN, Snetkova NI, Ludomirskiy MB, Kayutin IS, Yamshikov NE. Airborne strapdown stellar-inertial navigation system [In Russian]. Mechanics, Control and Informatics 2011; 2: 13-35.
- Avanesov GA, Bessonov RV, Kurkina AN, et al. Autonomous strapdown stellar-inertial navigation systems: Design principles, operating modes and operational experience. Gyroscopy and Navigation 2013; 4: 204-215. DOI: 10.1134/S2075108713040032.
- Akhiyarova AG, Baranov PS, Mantsvetov AA. System of land astroorientation on the daytime sky [In Russian]. 13th Int Conf “Television, Images broadcasting and Processing” 2016; 1: 225-231.
- Ni Y, Dai D, Tan W, Wang X, Qin S. Attitude-correlated frames adding approach to improve signal-to-noise ratio of star image for star tracker. Opt Express 2019; 27(11): 15548-15564. DOI: 10.1364/OE.27.015548.
- Ma L, Bernelli-Zazzera F, Qin S, Wang X, Ma L. Performance analysis of the attitude-correlated frames approach for star sensors. 2016 IEEE Metrology for Aerospace (MetroAeroSpace) 2016: 81-86. DOI: 10.1109/MetroAeroSpace.2016.7573190.
- Bessonov RV, Kurkina AN, Sazonov VV. Investigation of the periodic systematic error in determining the centers of star images on the CCD matrix of the BOKZ-M60 star sensor. Math Models Comput Simul 2018; 10(4): 418-430. DOI: 10.1134/S207004821804004X.
- Mu Z, Wang J, He X, Wei Z, He J, Zhang L, Lv Y, He D. Restoration method of a blurred star image for a star sensor under dynamic conditions. Sensors 2019; 19(19): 4127. DOI: 10.3390/s19194127.
- Sun T, Xing F, You Z, Wei M. Motion-blurred star acquisition method of the star tracker under high dynamic conditions. Opt Express 2013; 21(17): 20096-20110. DOI: 10.1364/OE.21.020096.
- Vasilyuk NN. Synthesis of the rotational blur kernel in a digital image using measurements of a triaxial gyroscope. Computer Optics 2022; 46(5): 763-773. DOI: 10.18287/2412-6179-CO-1081.
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