Two-step procedures for hybrid geoid modelling
A variety of mathematical models exist with which to combine long-wavelength geoid information from an Earth gravity model (EGM) with terrestrial gravity data. As new data become available, such as an extended or refined EGM and/or some variance covariance information from terrestrial gravity data,...
| Main Authors: | , |
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| Format: | Journal Article |
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Springer
2004
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| Online Access: | http://hdl.handle.net/20.500.11937/6434 |
| _version_ | 1848745075167723520 |
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| author | Sjoeberg, L. Featherstone, Will |
| author_facet | Sjoeberg, L. Featherstone, Will |
| author_sort | Sjoeberg, L. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A variety of mathematical models exist with which to combine long-wavelength geoid information from an Earth gravity model (EGM) with terrestrial gravity data. As new data become available, such as an extended or refined EGM and/or some variance covariance information from terrestrial gravity data, this new information can be combined with a previous geoid model through a so-called hybrid estimator. The hybrid estimator is defined as a two-step estimator, which provides a solution that is a compromise between computational labour and matching of the entire data set. Some commonly used geoid modifications are compared, and several hybrid estimators are introduced. It is concluded that, in general, hybrid estimators linking the new information to old data by the least squares principle should be preferred to deterministic combinations. |
| first_indexed | 2025-11-14T06:11:35Z |
| format | Journal Article |
| id | curtin-20.500.11937-6434 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:11:35Z |
| publishDate | 2004 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-64342018-09-25T00:43:43Z Two-step procedures for hybrid geoid modelling Sjoeberg, L. Featherstone, Will Geoid Modified Stokes' formula Hybrid modification Least-squares modification A variety of mathematical models exist with which to combine long-wavelength geoid information from an Earth gravity model (EGM) with terrestrial gravity data. As new data become available, such as an extended or refined EGM and/or some variance covariance information from terrestrial gravity data, this new information can be combined with a previous geoid model through a so-called hybrid estimator. The hybrid estimator is defined as a two-step estimator, which provides a solution that is a compromise between computational labour and matching of the entire data set. Some commonly used geoid modifications are compared, and several hybrid estimators are introduced. It is concluded that, in general, hybrid estimators linking the new information to old data by the least squares principle should be preferred to deterministic combinations. 2004 Journal Article http://hdl.handle.net/20.500.11937/6434 10.1007/s00190-003-0367-9 Springer restricted |
| spellingShingle | Geoid Modified Stokes' formula Hybrid modification Least-squares modification Sjoeberg, L. Featherstone, Will Two-step procedures for hybrid geoid modelling |
| title | Two-step procedures for hybrid geoid modelling |
| title_full | Two-step procedures for hybrid geoid modelling |
| title_fullStr | Two-step procedures for hybrid geoid modelling |
| title_full_unstemmed | Two-step procedures for hybrid geoid modelling |
| title_short | Two-step procedures for hybrid geoid modelling |
| title_sort | two-step procedures for hybrid geoid modelling |
| topic | Geoid Modified Stokes' formula Hybrid modification Least-squares modification |
| url | http://hdl.handle.net/20.500.11937/6434 |