A novel nonparametric adaptive kernel density estimation method for removing nonrandom noise from ICESat-2 photon-counting LiDAR data.

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Title: A novel nonparametric adaptive kernel density estimation method for removing nonrandom noise from ICESat-2 photon-counting LiDAR data.
Authors: Wang, Zijia1,2,3 (AUTHOR), Nie, Sheng1,2,3 (AUTHOR) niesheng@aircas.ac.cn, Wang, Cheng1,2,3 (AUTHOR), Xi, Xiaohuan1,2 (AUTHOR), Zhu, Xiaoxiao4 (AUTHOR), Lao, Jieying5 (AUTHOR), Yang, Bisheng6 (AUTHOR)
Source: Geo-Spatial Information Science. Apr2026, Vol. 29 Issue 2, p1177-1195. 19p.
Subjects: Multiple scattering (Physics), Photon counting, Principal components analysis, Artificial satellites, Probability density function, Noise control, Altitude measurements, Optical reflection
Abstract: The Ice, Cloud, and Land Elevation Satellite-2 (ICESat-2) demonstrates significant advantages in retrieving surface elevation. However, its unique photon-counting detection mechanism and vertical profiling introduce substantial noise, particularly nonrandom noise from multiple scattering and specular reflections. These two noise types often coexist in large-scale regions, yet most existing parameterized algorithms are designed to address only one, limiting their denoising effectiveness in complex environments. To address this challenge, a robust nonparametric density estimation algorithm is proposed to efficiently remove nonrandom noise while ensuring accurate surface elevation retrieval. The proposed method adaptively determines the K nearest neighbors based on the photon distribution and employs Principal Component Analysis (PCA) to identify the orientation and axes of a search ellipse for adaptive bandwidth estimation. Local deviation factors are then computed, followed by adaptive thresholding along the track distance to extract high-quality signal photons. The proposed algorithm is tested on ICESat-2 datasets acquired under varying laser intensity levels, including glaciers characterized by multiple scattering, inland water affected by specular reflection, and sea ice where both types of nonrandom noise coexist. Experimental results demonstrate superior performance across diverse surface types, achieving an average F (the harmonic mean of Recall and Precision) of 0.9896. Elevation profiles fitted by our method closely align with manually labeled results, exhibiting an average bias of 0.003 m, an average MAE of 0.006 m, and an average RMSE of 0.010 m, outperforming the compared methods. Specifically, our method reduces the mean bias by approximately 86.96% compared to the specular return removal method, 57.14% compared to the multiple scattering removal method, and 95.00% compared to ICESat-2 data products. In conclusion, this study provides an effective and generalizable solution for eliminating nonrandom noise in highly reflective or scattering environments, demonstrating robust performance and high accuracy across diverse surface types and large-scale scene data. [ABSTRACT FROM AUTHOR]
Copyright of Geo-Spatial Information Science is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A novel nonparametric adaptive kernel density estimation method for removing nonrandom noise from ICESat-2 photon-counting LiDAR data.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Zijia%22">Wang, Zijia</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Nie%2C+Sheng%22">Nie, Sheng</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> niesheng@aircas.ac.cn</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Cheng%22">Wang, Cheng</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Xi%2C+Xiaohuan%22">Xi, Xiaohuan</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhu%2C+Xiaoxiao%22">Zhu, Xiaoxiao</searchLink><relatesTo>4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lao%2C+Jieying%22">Lao, Jieying</searchLink><relatesTo>5</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yang%2C+Bisheng%22">Yang, Bisheng</searchLink><relatesTo>6</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="DE" term="%22Multiple+scattering+%28Physics%29%22">Multiple scattering (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Photon+counting%22">Photon counting</searchLink><br /><searchLink fieldCode="DE" term="%22Principal+components+analysis%22">Principal components analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Artificial+satellites%22">Artificial satellites</searchLink><br /><searchLink fieldCode="DE" term="%22Probability+density+function%22">Probability density function</searchLink><br /><searchLink fieldCode="DE" term="%22Noise+control%22">Noise control</searchLink><br /><searchLink fieldCode="DE" term="%22Altitude+measurements%22">Altitude measurements</searchLink><br /><searchLink fieldCode="DE" term="%22Optical+reflection%22">Optical reflection</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The Ice, Cloud, and Land Elevation Satellite-2 (ICESat-2) demonstrates significant advantages in retrieving surface elevation. However, its unique photon-counting detection mechanism and vertical profiling introduce substantial noise, particularly nonrandom noise from multiple scattering and specular reflections. These two noise types often coexist in large-scale regions, yet most existing parameterized algorithms are designed to address only one, limiting their denoising effectiveness in complex environments. To address this challenge, a robust nonparametric density estimation algorithm is proposed to efficiently remove nonrandom noise while ensuring accurate surface elevation retrieval. The proposed method adaptively determines the K nearest neighbors based on the photon distribution and employs Principal Component Analysis (PCA) to identify the orientation and axes of a search ellipse for adaptive bandwidth estimation. Local deviation factors are then computed, followed by adaptive thresholding along the track distance to extract high-quality signal photons. The proposed algorithm is tested on ICESat-2 datasets acquired under varying laser intensity levels, including glaciers characterized by multiple scattering, inland water affected by specular reflection, and sea ice where both types of nonrandom noise coexist. Experimental results demonstrate superior performance across diverse surface types, achieving an average F (the harmonic mean of Recall and Precision) of 0.9896. Elevation profiles fitted by our method closely align with manually labeled results, exhibiting an average bias of 0.003 m, an average MAE of 0.006 m, and an average RMSE of 0.010 m, outperforming the compared methods. Specifically, our method reduces the mean bias by approximately 86.96% compared to the specular return removal method, 57.14% compared to the multiple scattering removal method, and 95.00% compared to ICESat-2 data products. In conclusion, this study provides an effective and generalizable solution for eliminating nonrandom noise in highly reflective or scattering environments, demonstrating robust performance and high accuracy across diverse surface types and large-scale scene data. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Geo-Spatial Information Science is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1080/10095020.2025.2539952
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 19
        StartPage: 1177
    Subjects:
      – SubjectFull: Multiple scattering (Physics)
        Type: general
      – SubjectFull: Photon counting
        Type: general
      – SubjectFull: Principal components analysis
        Type: general
      – SubjectFull: Artificial satellites
        Type: general
      – SubjectFull: Probability density function
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      – SubjectFull: Noise control
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      – SubjectFull: Altitude measurements
        Type: general
      – SubjectFull: Optical reflection
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      – TitleFull: A novel nonparametric adaptive kernel density estimation method for removing nonrandom noise from ICESat-2 photon-counting LiDAR data.
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              M: 04
              Text: Apr2026
              Type: published
              Y: 2026
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