Solution of light vector superposition heading in zenith region of underwater sky polarization image

Abstract

Underwater skylight polarization images can be utilized for heading measurement, offering advantages such as anti-interference and no accumulation error. A method for underwater polarization image heading estimation was presented based on the superposition of light vectors in the zenith region, with the aim of obtaining the heading angle in underwater environments. The polarization information from the zenith region was analyzed and extracted in conjunction with attitude information. Subsequently, the underwater refracted light polarization vector was synthesized with the atmospheric polarization light vector within the zenith region using superposition operations. Through optimization of the polarization vector, the heading angle of underwater targets was accurately determined. Experimental results demonstrated that the root mean square error (RMSE) of the heading angle in the proposed method was 0.30° in the tank experiment and 0.41° in the marine experiment. Moreover, in the oceans at depths of 0.98 m, 4.89 m, and 5.94 m, the RMSE of the solar azimuth was 1.10°, 2.03°, and 3.04°, respectively.

Keywords

polarization images / heading measurements / zenith region / vector superposition

References

[1] YANG J, XU X, CHEN X, et al. Polarized light compass-aided inertial navigation under discontinuous observations environment. Optics Express, 2022, 30(11): 19665-19683.

[2] CHENG H, YU S, YU H, et al. Bioinspired underwater navigation using polarization patterns within Snell’s window. China Ocean Engineering, 2023, 37(4): 628-636.

[3] LUO M, DANG J W. A GPS/BDS dual mode positioning algorithm for a train based on ClPSO EKF. Journal of Measurement Science and Instrumentation, 2022, 13(1): 12-20.

[4] FRANCHI M, RIDOLFI A, ALLOTTA B. Underwater navigation with 2D forward looking SONAR: An adaptive unscented Kalman filter‐based strategy for AUVs. Journal of Field Robotics, 2021, 38(3): 355-385.

[5] CHOI J W, BORKAR A V, SINGER A C, et al. Broadband acoustic communication aided underwater inertial navigation system. IEEE Robotics and Automation Letters, 2022, 7(2): 5198-5205.

[6] ZHANG B, JI D, LIU S, et al. Autonomous underwater vehicle navigation: a review. Ocean Engineering, 2023, 273: 113861.

[7] WANG X, GAO J, ROBERTS N W. Bio-inspired orientation using the polarization pattern in the sky based on artificial neural networks. Optics Express, 2019, 27(10): 13681-13693.

[8] LI Q H, HU Y, HAO Q, et al. Skylight polarization patterns under urban obscurations and a navigation method adapted to urban environments. Optics Express, 2021, 29(25): 42090.

[9] PAN S, LIN J, ZHANG Y, et al. Image-registration-based solar meridian detection for accurate and robust polarization navigation. Optics Express, 2024, 32(2): 1357-1370.

[10] ZHAO H J, XU W J, ZHANG Y, et al. Polarization patterns under different sky conditions and a navigation method based on the symmetry of the AOP map of skylight. Optics Express, 2018, 26(22): 28589-28603.

[11] WAN Z H, ZHAO K C, LI Y H, et al. Measurement error model of the bio-inspired polarization imaging orientation sensor. Optics Express, 2022, 30(1): 22-41.

[12] IVANOFF A, WATERMAN T H. Factors, mainly depth and wavelength, affecting the degree of underwater light polarization. Journal of Marine Research, 1958, 16(3): 283-307.

[13] POWELL S B, GARNETT R, MARSHALL J, et al. Bioinspired polarization vision enables underwater geolocalization. Science advances, 2018, 4(4): eaao6841.

[14] PATEL R N, CRONIN T W. Mantis shrimp navigate home using celestial and idiothetic path integration. Current Biology, 2020, 30(11): 1981-1987.

[15] PARKYN D C, AUSTIN J D, HAWRYSHYN C W. Acquisition of polarized-light orientation in salmonids under laboratory conditions. Animal Behaviour, 2003, 65(5): 893-904.

[16] SABBAH S, BARTA A, GÁL J, et al. Experimental and theoretical study of skylight polarization transmitted through Snell’s window of a flat water surface. Journal of the Optical Society of America A, Optics, Image Science, and Vision, 2006, 23(8): 1978-1988.

[17] LYNCH D K. Snell’s window in wavy water. Applied Optics, 2015, 54(4): B8-B11.

[18] HU P W, YANG J, GUO L, et al. Solar-tracking methodology based on refraction-polarization in Snell’s window for underwater navigation. Chinese Journal of Aeronautics, 2022, 35(3): 380-389.

[19] HU P W, YANG J, QIAO J Z, et al. Underwater downwelling radiance fields enable three-dimensional attitude and heading determination. IEEE Transactions on Industrial Informatics, 2024, 20(2): 2109-2118.

[20] HU P W, LIU W B, YANG J, et al. Underwater autonomous orientation using submarine light intensity gradient. Mechatronics, 2024, 98: 103134.

[21] DUPEYROUX J, VIOLLET S, SERRES J R. An ant-inspired celestial compass applied to autonomous outdoor robot navigation. Robotics and Autonomous Systems, 2019, 117: 40-56.

[22] LIU X, YANG J, LI W, et al. Tightly coupled modeling and reliable fusion strategy for polarization-based attitude and heading reference system. IEEE Transactions on Industrial Informatics, 2022, 19(1): 62-73.

[23] LU H, ZHAO K, WANG X, et al. Real-time imaging orientation determination system to verify imaging polarization navigation algorithm. Sensors, 2016, 16(2): 144.

[24] HAN G L, ZHANG L L, HE X F, et al. A novel orientation method for polarized light compass under tilted conditions. IEEE Sensors Journal, 2020, 20(18): 10554-10563.

[25] FAN C, HU X P, HE X F, et al. Integrated polarized skylight sensor and MIMU with a metric map for urban ground navigation. IEEE Sensors Journal, 2018, 18(4): 1714-1722.

[26] GUO L, ZHAO Q, YANG J, et al. A depth-adaptive underwater polarized sun calculation method: CN116222550B. 2023-06-06.

[27] WU X, ZHAO D, YU H, et al. Bionic polarization orientation method under severe weather. Navigation Positioning & Timing, 2022, 9(2): 104-111.

[28] WANG Y J, HU X P, LIAN J X, et al. Bionic orientation and visual enhancement with a novel polarization camera. IEEE Sensors Journal, 2017, 17(5): 1316-1324.

[29] XU J F, LI H Z, LÜ W H, et al. Design of a real-time orientation sensor based on atmospheric polarization light. Applied Optics, 2023, 62(25): 6680-6688.