Solid Angle Geometry-Based Modeling of Volume Scattering with Application in the Adaptive Decomposition of GF-3 Data of Sea Ice in Antarctica
Over the last two decades, spaceborne polarimetric synthetic aperture radar (PolSAR) has been widely used to penetrate sea ice surfaces to achieve fully polarimetric high-resolution imaging at all times of day and in a range of weather conditions. Model-based polarimetric decomposition is a powerful...
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ftdoajarticles:oai:doaj.org/article:f441ea4912d649e08d5a7481816fa81b 2023-07-23T04:15:21+02:00 Solid Angle Geometry-Based Modeling of Volume Scattering with Application in the Adaptive Decomposition of GF-3 Data of Sea Ice in Antarctica Dong Li He Lu Yunhua Zhang 2023-06-01T00:00:00Z https://doi.org/10.3390/rs15123208 https://doaj.org/article/f441ea4912d649e08d5a7481816fa81b EN eng MDPI AG https://www.mdpi.com/2072-4292/15/12/3208 https://doaj.org/toc/2072-4292 doi:10.3390/rs15123208 2072-4292 https://doaj.org/article/f441ea4912d649e08d5a7481816fa81b Remote Sensing, Vol 15, Iss 3208, p 3208 (2023) polarimetric decomposition radar polarimetry synthetic aperture radar sea ice volume scattering model Science Q article 2023 ftdoajarticles https://doi.org/10.3390/rs15123208 2023-07-02T00:37:09Z Over the last two decades, spaceborne polarimetric synthetic aperture radar (PolSAR) has been widely used to penetrate sea ice surfaces to achieve fully polarimetric high-resolution imaging at all times of day and in a range of weather conditions. Model-based polarimetric decomposition is a powerful tool used to extract useful physical and geometric information about sea ice from the matrix datasets acquired by PolSAR. The volume scattering of sea ice is usually modeled as the incoherent average of scatterings of a large volume of oriented ellipsoid particles that are uniformly distributed in 3D space. This uniform spatial distribution is often approximated as a uniform orientation distribution (UOD), i.e., the particles are uniformly oriented in all directions. This is achieved in the existing literature by ensuring the canting angle <semantics> φ </semantics> and tilt angle <semantics> τ </semantics> of particles uniformly distributed in their respective ranges and introducing a factor <semantics> cos τ </semantics> in the ensemble average. However, we find this implementation of UOD is not always effective, while a real UOD can be realized by distributing the solid angles of particles uniformly in 3D space. By deriving the total solid angle of the canting-tilt cell spanned by particles and combining the differential relationship between solid angle and Euler angles <semantics> φ </semantics> and <semantics> τ </semantics> , a complete expression of the joint probability density function <semantics> p <mfenced separators="|"> φ , τ </mfenced> </semantics> that can always ensure the uniform orientation of particles of sea ice is realized. By ensemble integrating the coherency matrix of <semantics> <mfenced separators="|"> φ , τ </mfenced> </semantics> -oriented particle with <semantics> p <mfenced separators="|"> φ , τ </mfenced> </semantics> , a generalized modeling of the ... Article in Journal/Newspaper Antarc* Antarctica Sea ice Directory of Open Access Journals: DOAJ Articles Remote Sensing 15 12 3208 |
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Open Polar |
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Directory of Open Access Journals: DOAJ Articles |
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language |
English |
topic |
polarimetric decomposition radar polarimetry synthetic aperture radar sea ice volume scattering model Science Q |
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polarimetric decomposition radar polarimetry synthetic aperture radar sea ice volume scattering model Science Q Dong Li He Lu Yunhua Zhang Solid Angle Geometry-Based Modeling of Volume Scattering with Application in the Adaptive Decomposition of GF-3 Data of Sea Ice in Antarctica |
topic_facet |
polarimetric decomposition radar polarimetry synthetic aperture radar sea ice volume scattering model Science Q |
description |
Over the last two decades, spaceborne polarimetric synthetic aperture radar (PolSAR) has been widely used to penetrate sea ice surfaces to achieve fully polarimetric high-resolution imaging at all times of day and in a range of weather conditions. Model-based polarimetric decomposition is a powerful tool used to extract useful physical and geometric information about sea ice from the matrix datasets acquired by PolSAR. The volume scattering of sea ice is usually modeled as the incoherent average of scatterings of a large volume of oriented ellipsoid particles that are uniformly distributed in 3D space. This uniform spatial distribution is often approximated as a uniform orientation distribution (UOD), i.e., the particles are uniformly oriented in all directions. This is achieved in the existing literature by ensuring the canting angle <semantics> φ </semantics> and tilt angle <semantics> τ </semantics> of particles uniformly distributed in their respective ranges and introducing a factor <semantics> cos τ </semantics> in the ensemble average. However, we find this implementation of UOD is not always effective, while a real UOD can be realized by distributing the solid angles of particles uniformly in 3D space. By deriving the total solid angle of the canting-tilt cell spanned by particles and combining the differential relationship between solid angle and Euler angles <semantics> φ </semantics> and <semantics> τ </semantics> , a complete expression of the joint probability density function <semantics> p <mfenced separators="|"> φ , τ </mfenced> </semantics> that can always ensure the uniform orientation of particles of sea ice is realized. By ensemble integrating the coherency matrix of <semantics> <mfenced separators="|"> φ , τ </mfenced> </semantics> -oriented particle with <semantics> p <mfenced separators="|"> φ , τ </mfenced> </semantics> , a generalized modeling of the ... |
format |
Article in Journal/Newspaper |
author |
Dong Li He Lu Yunhua Zhang |
author_facet |
Dong Li He Lu Yunhua Zhang |
author_sort |
Dong Li |
title |
Solid Angle Geometry-Based Modeling of Volume Scattering with Application in the Adaptive Decomposition of GF-3 Data of Sea Ice in Antarctica |
title_short |
Solid Angle Geometry-Based Modeling of Volume Scattering with Application in the Adaptive Decomposition of GF-3 Data of Sea Ice in Antarctica |
title_full |
Solid Angle Geometry-Based Modeling of Volume Scattering with Application in the Adaptive Decomposition of GF-3 Data of Sea Ice in Antarctica |
title_fullStr |
Solid Angle Geometry-Based Modeling of Volume Scattering with Application in the Adaptive Decomposition of GF-3 Data of Sea Ice in Antarctica |
title_full_unstemmed |
Solid Angle Geometry-Based Modeling of Volume Scattering with Application in the Adaptive Decomposition of GF-3 Data of Sea Ice in Antarctica |
title_sort |
solid angle geometry-based modeling of volume scattering with application in the adaptive decomposition of gf-3 data of sea ice in antarctica |
publisher |
MDPI AG |
publishDate |
2023 |
url |
https://doi.org/10.3390/rs15123208 https://doaj.org/article/f441ea4912d649e08d5a7481816fa81b |
genre |
Antarc* Antarctica Sea ice |
genre_facet |
Antarc* Antarctica Sea ice |
op_source |
Remote Sensing, Vol 15, Iss 3208, p 3208 (2023) |
op_relation |
https://www.mdpi.com/2072-4292/15/12/3208 https://doaj.org/toc/2072-4292 doi:10.3390/rs15123208 2072-4292 https://doaj.org/article/f441ea4912d649e08d5a7481816fa81b |
op_doi |
https://doi.org/10.3390/rs15123208 |
container_title |
Remote Sensing |
container_volume |
15 |
container_issue |
12 |
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3208 |
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1772189349961531392 |