Adaptation of the torus and Rosborough approach to radial base functions
The most common approach for the processing of data of gravity field satellite missions is the so-called time-wise approach. In this approach satellite data are considered as a time series and processed by a standard least-squares approach. This approach has a very strong flexibility but it is compu...
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ftczechacademysc:oai:kramerius.lib.cas.cz:uuid:17896992-7fe0-461b-baa7-61eebfd4d8f2 2024-03-17T08:58:13+00:00 Adaptation of the torus and Rosborough approach to radial base functions Keller, Wolfgang You, Rey-Jer print https://kramerius.lib.cas.cz/view/uuid:17896992-7fe0-461b-baa7-61eebfd4d8f2 https://doi.org/10.1007/s11200-013-0157-7 unknown https://kramerius.lib.cas.cz/view/uuid:17896992-7fe0-461b-baa7-61eebfd4d8f2 doi:https://doi.org/10.1007/s11200-013-0157-7 policy:private geofyzika geophysics GOCE mission torus approach Rosborough approach radial basis functions spherical wavelets 7 550 model:article ftczechacademysc https://doi.org/10.1007/s11200-013-0157-7 2024-02-19T22:57:32Z The most common approach for the processing of data of gravity field satellite missions is the so-called time-wise approach. In this approach satellite data are considered as a time series and processed by a standard least-squares approach. This approach has a very strong flexibility but it is computationally very demanding. To improve the computational efficiency and numerical stability, the so-called torus and Rosborough approaches have been developed. So far, these approaches have been applied only for global gravity field determinations, based on spherical harmonics as basis functions. For regional applications basis functions with a local support are superior to spherical harmonics, because they provide the same approximation quality with much less parameters. So far, torus and Rosborough approach have been developed for spherical harmonics only. Therefore, the paper aims at the development and testing of the torus and Rosborough approach for regional gravity field improvements, based on radial basis functions as basis functions. The developed regional Rosborough approach is tested against a changing gravity field produced by simulated ice-mass changes over Greenland. With only 350 parameters a recovery of the simulated mass changes with a relative accuracy of 5% is possible. Wolfgang Keller, Rey-Jer You. Obsahuje seznam literatury Article in Journal/Newspaper Greenland Czech Academy of Sciences: dKNAV Greenland Keller ENVELOPE(-58.406,-58.406,-62.073,-62.073) Studia Geophysica et Geodaetica 58 2 249 268 |
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Open Polar |
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Czech Academy of Sciences: dKNAV |
op_collection_id |
ftczechacademysc |
language |
unknown |
topic |
geofyzika geophysics GOCE mission torus approach Rosborough approach radial basis functions spherical wavelets 7 550 |
spellingShingle |
geofyzika geophysics GOCE mission torus approach Rosborough approach radial basis functions spherical wavelets 7 550 Keller, Wolfgang You, Rey-Jer Adaptation of the torus and Rosborough approach to radial base functions |
topic_facet |
geofyzika geophysics GOCE mission torus approach Rosborough approach radial basis functions spherical wavelets 7 550 |
description |
The most common approach for the processing of data of gravity field satellite missions is the so-called time-wise approach. In this approach satellite data are considered as a time series and processed by a standard least-squares approach. This approach has a very strong flexibility but it is computationally very demanding. To improve the computational efficiency and numerical stability, the so-called torus and Rosborough approaches have been developed. So far, these approaches have been applied only for global gravity field determinations, based on spherical harmonics as basis functions. For regional applications basis functions with a local support are superior to spherical harmonics, because they provide the same approximation quality with much less parameters. So far, torus and Rosborough approach have been developed for spherical harmonics only. Therefore, the paper aims at the development and testing of the torus and Rosborough approach for regional gravity field improvements, based on radial basis functions as basis functions. The developed regional Rosborough approach is tested against a changing gravity field produced by simulated ice-mass changes over Greenland. With only 350 parameters a recovery of the simulated mass changes with a relative accuracy of 5% is possible. Wolfgang Keller, Rey-Jer You. Obsahuje seznam literatury |
format |
Article in Journal/Newspaper |
author |
Keller, Wolfgang You, Rey-Jer |
author_facet |
Keller, Wolfgang You, Rey-Jer |
author_sort |
Keller, Wolfgang |
title |
Adaptation of the torus and Rosborough approach to radial base functions |
title_short |
Adaptation of the torus and Rosborough approach to radial base functions |
title_full |
Adaptation of the torus and Rosborough approach to radial base functions |
title_fullStr |
Adaptation of the torus and Rosborough approach to radial base functions |
title_full_unstemmed |
Adaptation of the torus and Rosborough approach to radial base functions |
title_sort |
adaptation of the torus and rosborough approach to radial base functions |
url |
https://kramerius.lib.cas.cz/view/uuid:17896992-7fe0-461b-baa7-61eebfd4d8f2 https://doi.org/10.1007/s11200-013-0157-7 |
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ENVELOPE(-58.406,-58.406,-62.073,-62.073) |
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Greenland Keller |
geographic_facet |
Greenland Keller |
genre |
Greenland |
genre_facet |
Greenland |
op_relation |
https://kramerius.lib.cas.cz/view/uuid:17896992-7fe0-461b-baa7-61eebfd4d8f2 doi:https://doi.org/10.1007/s11200-013-0157-7 |
op_rights |
policy:private |
op_doi |
https://doi.org/10.1007/s11200-013-0157-7 |
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Studia Geophysica et Geodaetica |
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58 |
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249 |
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