Tuning a gravimetric quasigeoid to GPS-levelling by non-stationary least-squares collocation
This paper addresses implementation issues in order to apply non-stationary least-squares collocation (LSC) to a practical geodetic problem: fitting a gravimetric quasigeoid to discrete geometric quasigeoid heights at a local scale. This yields a surface that is useful for direct GPS heighting. Non-...
| Main Authors: | , |
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| Format: | Journal Article |
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Springer - Verlag
2010
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| Online Access: | http://hdl.handle.net/20.500.11937/4551 |
| _version_ | 1848744547869261824 |
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| author | Darbeheshti, Neda Featherstone, Will |
| author_facet | Darbeheshti, Neda Featherstone, Will |
| author_sort | Darbeheshti, Neda |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper addresses implementation issues in order to apply non-stationary least-squares collocation (LSC) to a practical geodetic problem: fitting a gravimetric quasigeoid to discrete geometric quasigeoid heights at a local scale. This yields a surface that is useful for direct GPS heighting. Non-stationary covariance functions and a nonstationary model of the mean were applied to residual gravimetric quasigeoid determination by planar LSC in the Perth region ofWestern Australia. The non-stationarymodel of the mean did not change the LSC results significantly. However, elliptical kernels in non-stationary covariance functions were used successfully to create an iterative optimisation loop to decrease the difference between the gravimetric quasigeoid and geometric quasigeoid at 99 GPS-levelling points to a user-prescribed tolerance. |
| first_indexed | 2025-11-14T06:03:12Z |
| format | Journal Article |
| id | curtin-20.500.11937-4551 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:03:12Z |
| publishDate | 2010 |
| publisher | Springer - Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-45512017-09-13T15:54:29Z Tuning a gravimetric quasigeoid to GPS-levelling by non-stationary least-squares collocation Darbeheshti, Neda Featherstone, Will Geometric quasigeoid Gravimetric quasigeoid Elliptical kernel convolution Least squares collocation (LSC) Non-stationary covariance functions This paper addresses implementation issues in order to apply non-stationary least-squares collocation (LSC) to a practical geodetic problem: fitting a gravimetric quasigeoid to discrete geometric quasigeoid heights at a local scale. This yields a surface that is useful for direct GPS heighting. Non-stationary covariance functions and a nonstationary model of the mean were applied to residual gravimetric quasigeoid determination by planar LSC in the Perth region ofWestern Australia. The non-stationarymodel of the mean did not change the LSC results significantly. However, elliptical kernels in non-stationary covariance functions were used successfully to create an iterative optimisation loop to decrease the difference between the gravimetric quasigeoid and geometric quasigeoid at 99 GPS-levelling points to a user-prescribed tolerance. 2010 Journal Article http://hdl.handle.net/20.500.11937/4551 10.1007/s00190-010-0377-3 Springer - Verlag fulltext |
| spellingShingle | Geometric quasigeoid Gravimetric quasigeoid Elliptical kernel convolution Least squares collocation (LSC) Non-stationary covariance functions Darbeheshti, Neda Featherstone, Will Tuning a gravimetric quasigeoid to GPS-levelling by non-stationary least-squares collocation |
| title | Tuning a gravimetric quasigeoid to GPS-levelling by non-stationary least-squares collocation |
| title_full | Tuning a gravimetric quasigeoid to GPS-levelling by non-stationary least-squares collocation |
| title_fullStr | Tuning a gravimetric quasigeoid to GPS-levelling by non-stationary least-squares collocation |
| title_full_unstemmed | Tuning a gravimetric quasigeoid to GPS-levelling by non-stationary least-squares collocation |
| title_short | Tuning a gravimetric quasigeoid to GPS-levelling by non-stationary least-squares collocation |
| title_sort | tuning a gravimetric quasigeoid to gps-levelling by non-stationary least-squares collocation |
| topic | Geometric quasigeoid Gravimetric quasigeoid Elliptical kernel convolution Least squares collocation (LSC) Non-stationary covariance functions |
| url | http://hdl.handle.net/20.500.11937/4551 |