Spherical approximating and interpolating moving least squares in geodesy and geophysics: a case study for deriving gravity acceleration at sea surface in the Persian Gulf
This paper is aimed at introducing the concept of Spherical Interpolating Moving Least Squares to the problems in geodesy and geophysics. Based on two previously known methods, namely Spherical Moving Least Squares and Interpolating Moving Least Squares, a simple theory is formulated for using Spher...
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| Format: | Article |
| Language: | English |
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De Gruyter
2020-12-01
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| Series: | Journal of Geodetic Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/jogs-2020-0112 |
| _version_ | 1811279447566843904 |
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| author | Kiani M. |
| author_facet | Kiani M. |
| author_sort | Kiani M. |
| collection | DOAJ |
| description | This paper is aimed at introducing the concept of Spherical Interpolating Moving Least Squares to the problems in geodesy and geophysics. Based on two previously known methods, namely Spherical Moving Least Squares and Interpolating Moving Least Squares, a simple theory is formulated for using Spherical Moving Least Squares as an interpolant. As an application, a case study is presented in which gravity accelerations at sea surface in the Persian Gulf are derived, using both the approximation and interpolation mode of the Spherical Moving Least Squares. The roles of the various elements in the methods-weight function, scaling parameter, and the degree of spherical harmonics as the basis functions-are investigated. Then, the results of approximation and interpolation are compared with the field data at sea surface, collected by shipborne gravimetry approach. Finally, the results are compared with another independent interpolation method-spline interpolation. It is shown that in this particular problem, SMLS approximation and SIMLS interpolation present a better accuracy than spherical splines. |
| first_indexed | 2024-04-13T00:54:48Z |
| format | Article |
| id | doaj.art-d575fb93982242ddb70600302d2f84bd |
| institution | Directory Open Access Journal |
| issn | 2081-9943 |
| language | English |
| last_indexed | 2024-04-13T00:54:48Z |
| publishDate | 2020-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Journal of Geodetic Science |
| spelling | doaj.art-d575fb93982242ddb70600302d2f84bd2022-12-22T03:09:45ZengDe GruyterJournal of Geodetic Science2081-99432020-12-0110112413510.1515/jogs-2020-0112jogs-2020-0112Spherical approximating and interpolating moving least squares in geodesy and geophysics: a case study for deriving gravity acceleration at sea surface in the Persian GulfKiani M.0School of Surveying and Geospatial Data Engineering, University of Tehran, Tehran, Iran.This paper is aimed at introducing the concept of Spherical Interpolating Moving Least Squares to the problems in geodesy and geophysics. Based on two previously known methods, namely Spherical Moving Least Squares and Interpolating Moving Least Squares, a simple theory is formulated for using Spherical Moving Least Squares as an interpolant. As an application, a case study is presented in which gravity accelerations at sea surface in the Persian Gulf are derived, using both the approximation and interpolation mode of the Spherical Moving Least Squares. The roles of the various elements in the methods-weight function, scaling parameter, and the degree of spherical harmonics as the basis functions-are investigated. Then, the results of approximation and interpolation are compared with the field data at sea surface, collected by shipborne gravimetry approach. Finally, the results are compared with another independent interpolation method-spline interpolation. It is shown that in this particular problem, SMLS approximation and SIMLS interpolation present a better accuracy than spherical splines.https://doi.org/10.1515/jogs-2020-0112gravity acceleration values at sea surfacescaling parametershipborne gravimetryspherical harmonic basis functionsspherical interpolating moving least squaresspherical moving least squaresweight function |
| spellingShingle | Kiani M. Spherical approximating and interpolating moving least squares in geodesy and geophysics: a case study for deriving gravity acceleration at sea surface in the Persian Gulf Journal of Geodetic Science gravity acceleration values at sea surface scaling parameter shipborne gravimetry spherical harmonic basis functions spherical interpolating moving least squares spherical moving least squares weight function |
| title | Spherical approximating and interpolating moving least squares in geodesy and geophysics: a case study for deriving gravity acceleration at sea surface in the Persian Gulf |
| title_full | Spherical approximating and interpolating moving least squares in geodesy and geophysics: a case study for deriving gravity acceleration at sea surface in the Persian Gulf |
| title_fullStr | Spherical approximating and interpolating moving least squares in geodesy and geophysics: a case study for deriving gravity acceleration at sea surface in the Persian Gulf |
| title_full_unstemmed | Spherical approximating and interpolating moving least squares in geodesy and geophysics: a case study for deriving gravity acceleration at sea surface in the Persian Gulf |
| title_short | Spherical approximating and interpolating moving least squares in geodesy and geophysics: a case study for deriving gravity acceleration at sea surface in the Persian Gulf |
| title_sort | spherical approximating and interpolating moving least squares in geodesy and geophysics a case study for deriving gravity acceleration at sea surface in the persian gulf |
| topic | gravity acceleration values at sea surface scaling parameter shipborne gravimetry spherical harmonic basis functions spherical interpolating moving least squares spherical moving least squares weight function |
| url | https://doi.org/10.1515/jogs-2020-0112 |
| work_keys_str_mv | AT kianim sphericalapproximatingandinterpolatingmovingleastsquaresingeodesyandgeophysicsacasestudyforderivinggravityaccelerationatseasurfaceinthepersiangulf |