Star uniform selection algorithm based on maximizing Kozachenko-Leonnko entropy

Wei Xu; Suzhou Zhu; Qitong Li; Xuyang Chen; Xiaojun Zhou

doi:10.1117/12.2684884

19 October 2023 Star uniform selection algorithm based on maximizing Kozachenko-Leonnko entropy

Wei Xu, Suzhou Zhu, Qitong Li, Xuyang Chen, Xiaojun Zhou

Proceedings Volume 12709, Fourth International Conference on Artificial Intelligence and Electromechanical Automation (AIEA 2023); 1270936 (2023) https://doi.org/10.1117/12.2684884
Event: Fourth International Conference on Artificial Intelligence and Electromechanical Automation (AIEA 2023), 2023, Nanjing, China

Abstract

The pointing accuracy of a telescope is a fundamental performance metric, and the prevalent method for correcting telescope pointing deviations involves selecting stars that are uniformly distributed across the sky, measuring the difference between the telescope's observed calibration position and the expected position from a star catalog, and then applying correction models to compensate for the deviations. However, the uniformity of traditional star selection algorithms can be suboptimal. To address this issue, this study proposes a star uniform selection algorithm based on maximizing Kozachenko-Leonenko entropy (MKLE). Specifically, the proposed algorithm employs KL entropy computed based on the k-nearest neighbor approach as a metric of uniformity, where a higher KL entropy indicates more uniform star selections. To adapt the algorithm to the cylindrical surface formed by the telescope's azimuth and elevation axes, a KD-tree search strategy is proposed. Furthermore, to enhance the uniformity of selected stars, a simulated annealing method is utilized to maximize the KL entropy and select the most uniformly distributed stars. The performance of this method was verified by calculating the KL entropy using MKLE, rectangular grid method (RGM), and first-order self-organizing selection method (SO). The results indicate that the MKLE algorithm outperforms the other methods in terms of uniformity of star selection.

Citation Download Citation

Wei Xu, Suzhou Zhu, Qitong Li, Xuyang Chen, and Xiaojun Zhou "Star uniform selection algorithm based on maximizing Kozachenko-Leonnko entropy", Proc. SPIE 12709, Fourth International Conference on Artificial Intelligence and Electromechanical Automation (AIEA 2023), 1270936 (19 October 2023); https://doi.org/10.1117/12.2684884

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KEYWORDS

Stars

Telescopes

Algorithms

Expectation maximization algorithms

Astronomical telescopes

Particles

Astronomy

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