Modeling and Correction of Underwater Photon-Counting LiDAR Returns Based on a Modified Biexponential Distribution.

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Title: Modeling and Correction of Underwater Photon-Counting LiDAR Returns Based on a Modified Biexponential Distribution.
Authors: Wang, Jie1,2,3,4 (AUTHOR), Hao, Wei1,2,3,4,5 (AUTHOR), Chen, Songmao1,2,3,4,5 (AUTHOR), Xie, Meilin1,2,3,4,5 (AUTHOR), Shi, Heng1,2,3,4,5 (AUTHOR), Li, Xiangyu1,2 (AUTHOR), Lian, Xuezheng1,2,3,4 (AUTHOR), Su, Xiuqin1,2,3,4,5 (AUTHOR), Xing, Runqiang1,2,4,5 (AUTHOR), Ding, Lu1,2,5 (AUTHOR) dinglu@opt.ac.cn
Source: Remote Sensing. Feb2026, Vol. 18 Issue 3, p489. 21p.
Subjects: LIDAR, Bathymetry, Laser ranging, Distribution (Probability theory)
Abstract: Highlights: What are the main findings? A Modified Biexponential Distribution (MBD) model is proposed to accurately characterize the asymmetric shape of underwater single-photon LiDAR return pulses, effectively representing both sharp rising and long-tailed decay behaviors. The proposed model-driven IRF matching framework mitigates underwater pulse broadening effects and improves ranging accuracy without the need for labor-intensive underwater calibration. What are the implications of the main findings? The MBD model significantly enhances depth estimation accuracy in turbid underwater environments, achieving a 17.54 percentage reduction in Depth Absolute Error and a 50 percentage increase in the probability of precise ranging. This work establishes a robust analytical foundation for improving photon detection and bathymetric performance in underwater LiDAR systems, supporting future applications in marine mapping and underwater exploration. Laser pulses experience significant temporal broadening in underwater environments due to strong turbulence and scattering effects. As water turbidity increases, the likelihood of multiple scattering events rises, further intensifying pulse broadening and thereby degrading the ranging accuracy of underwater single-photon LiDAR systems. Accurate characterization of the return pulse shape is crucial for precise distance extraction, typically achieved via cross-correlation with the system's Instrument Response Function (IRF). Conventional models often fail to accurately characterize the distinctive asymmetric shape of underwater LiDAR returns, which feature a rapid rise and a slow decay. To address this limitation, this paper proposes a Modified Biexponential Distribution (MBD) model, specifically designed to capture both the sharp leading edge and the gradual trailing decay of the pulses. This model enables a more accurate representation of the broadened pulse, effectively mitigating the ranging error induced by scattering. Experimental validation demonstrates that, at an attenuation length of 6.9, the Depth Absolute Error (DAE) is reduced from 3.82 cm to 3.15 cm (a 17.54% improvement), while the probability of achieving a DAE below 3.82 cm increases from 49.70% to 74.83%. These results confirm the effectiveness and robustness of the proposed model in enhancing the ranging accuracy of underwater photon-counting LiDAR systems. Furthermore, this study provides a model-driven analytical basis for improving underwater photon detection and bathymetric performance in turbid conditions. [ABSTRACT FROM AUTHOR]
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Abstract:Highlights: What are the main findings? A Modified Biexponential Distribution (MBD) model is proposed to accurately characterize the asymmetric shape of underwater single-photon LiDAR return pulses, effectively representing both sharp rising and long-tailed decay behaviors. The proposed model-driven IRF matching framework mitigates underwater pulse broadening effects and improves ranging accuracy without the need for labor-intensive underwater calibration. What are the implications of the main findings? The MBD model significantly enhances depth estimation accuracy in turbid underwater environments, achieving a 17.54 percentage reduction in Depth Absolute Error and a 50 percentage increase in the probability of precise ranging. This work establishes a robust analytical foundation for improving photon detection and bathymetric performance in underwater LiDAR systems, supporting future applications in marine mapping and underwater exploration. Laser pulses experience significant temporal broadening in underwater environments due to strong turbulence and scattering effects. As water turbidity increases, the likelihood of multiple scattering events rises, further intensifying pulse broadening and thereby degrading the ranging accuracy of underwater single-photon LiDAR systems. Accurate characterization of the return pulse shape is crucial for precise distance extraction, typically achieved via cross-correlation with the system's Instrument Response Function (IRF). Conventional models often fail to accurately characterize the distinctive asymmetric shape of underwater LiDAR returns, which feature a rapid rise and a slow decay. To address this limitation, this paper proposes a Modified Biexponential Distribution (MBD) model, specifically designed to capture both the sharp leading edge and the gradual trailing decay of the pulses. This model enables a more accurate representation of the broadened pulse, effectively mitigating the ranging error induced by scattering. Experimental validation demonstrates that, at an attenuation length of 6.9, the Depth Absolute Error (DAE) is reduced from 3.82 cm to 3.15 cm (a 17.54% improvement), while the probability of achieving a DAE below 3.82 cm increases from 49.70% to 74.83%. These results confirm the effectiveness and robustness of the proposed model in enhancing the ranging accuracy of underwater photon-counting LiDAR systems. Furthermore, this study provides a model-driven analytical basis for improving underwater photon detection and bathymetric performance in turbid conditions. [ABSTRACT FROM AUTHOR]
ISSN:20724292
DOI:10.3390/rs18030489