A Spectral Acceleration Approach for the Spherical Harmonics Discrete Ordinate Method
A spectral acceleration approach for the spherical harmonics discrete ordinate method (SHDOM) is designed. This approach combines the correlated <i>k</i>-distribution method and some dimensionality reduction techniques applied on the optical parameters of an atmospheric system. The dimen...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-11-01
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| Series: | Remote Sensing |
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| Online Access: | https://www.mdpi.com/2072-4292/12/22/3703 |
| _version_ | 1797548209259675648 |
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| author | Adrian Doicu Dmitry S. Efremenko Thomas Trautmann |
| author_facet | Adrian Doicu Dmitry S. Efremenko Thomas Trautmann |
| author_sort | Adrian Doicu |
| collection | DOAJ |
| description | A spectral acceleration approach for the spherical harmonics discrete ordinate method (SHDOM) is designed. This approach combines the correlated <i>k</i>-distribution method and some dimensionality reduction techniques applied on the optical parameters of an atmospheric system. The dimensionality reduction techniques used in this study are the linear embedding methods: principal component analysis, locality pursuit embedding, locality preserving projection, and locally embedded analysis. Through a numerical analysis, it is shown that relative to the correlated <i>k</i>-distribution method, PCA in conjunction with a second-order of scattering approximation yields an acceleration factor of 12. This implies that SHDOM equipped with this acceleration approach is efficient enough to perform spectral integration of radiance fields in inhomogeneous multi-dimensional media. |
| first_indexed | 2024-03-10T14:56:09Z |
| format | Article |
| id | doaj.art-bd80701d7c254dcba72fd14740447385 |
| institution | Directory Open Access Journal |
| issn | 2072-4292 |
| language | English |
| last_indexed | 2024-03-10T14:56:09Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Remote Sensing |
| spelling | doaj.art-bd80701d7c254dcba72fd147404473852023-11-20T20:37:59ZengMDPI AGRemote Sensing2072-42922020-11-011222370310.3390/rs12223703A Spectral Acceleration Approach for the Spherical Harmonics Discrete Ordinate MethodAdrian Doicu0Dmitry S. Efremenko1Thomas Trautmann2German Aerospace Center (DLR), Remote Sensing Technology Institute, 82234 Oberpfaffenhofen, GermanyGerman Aerospace Center (DLR), Remote Sensing Technology Institute, 82234 Oberpfaffenhofen, GermanyGerman Aerospace Center (DLR), Remote Sensing Technology Institute, 82234 Oberpfaffenhofen, GermanyA spectral acceleration approach for the spherical harmonics discrete ordinate method (SHDOM) is designed. This approach combines the correlated <i>k</i>-distribution method and some dimensionality reduction techniques applied on the optical parameters of an atmospheric system. The dimensionality reduction techniques used in this study are the linear embedding methods: principal component analysis, locality pursuit embedding, locality preserving projection, and locally embedded analysis. Through a numerical analysis, it is shown that relative to the correlated <i>k</i>-distribution method, PCA in conjunction with a second-order of scattering approximation yields an acceleration factor of 12. This implies that SHDOM equipped with this acceleration approach is efficient enough to perform spectral integration of radiance fields in inhomogeneous multi-dimensional media.https://www.mdpi.com/2072-4292/12/22/3703SHDOMPCAthree dimensional radiative transfer |
| spellingShingle | Adrian Doicu Dmitry S. Efremenko Thomas Trautmann A Spectral Acceleration Approach for the Spherical Harmonics Discrete Ordinate Method Remote Sensing SHDOM PCA three dimensional radiative transfer |
| title | A Spectral Acceleration Approach for the Spherical Harmonics Discrete Ordinate Method |
| title_full | A Spectral Acceleration Approach for the Spherical Harmonics Discrete Ordinate Method |
| title_fullStr | A Spectral Acceleration Approach for the Spherical Harmonics Discrete Ordinate Method |
| title_full_unstemmed | A Spectral Acceleration Approach for the Spherical Harmonics Discrete Ordinate Method |
| title_short | A Spectral Acceleration Approach for the Spherical Harmonics Discrete Ordinate Method |
| title_sort | spectral acceleration approach for the spherical harmonics discrete ordinate method |
| topic | SHDOM PCA three dimensional radiative transfer |
| url | https://www.mdpi.com/2072-4292/12/22/3703 |
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