Local geoid determination in strip area projects by using polynomials, least-squares collocation and radial basis functions

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dc.contributor.authorDoganalp, Serkan
dc.contributor.authorSelvi, Huseyin Zahit
dc.date.accessioned2024-02-23T14:13:09Z
dc.date.available2024-02-23T14:13:09Z
dc.date.issued2015
dc.departmentNEÜen_US
dc.description.abstractOrthometric heights are used in many engineering projects. However, the heights determined by the widely-used Global Navigation Satellite System (GNSS) are ellipsoid heights. Leveling measurements conducted with the purpose of determining the orthometric heights on points are quite arduous and time-consuming processes. To be able to use ellipsoid heights in engineering projects, their transformation to orthometric heights defined in the height datum of the region is necessary. Therefore, in terms of convenience and feasibility GNSS/levelling method is preferred in determining geoid heights. This method is based on the principle of transformation of ellipsoid heights to orthometric heights. In effect, the main purpose of the method can also be regarded as the estimation of geoid undulation values for the study area. During the estimation process, polynomial (surface, curve) models are generally used. Polynomial models produce meaningful results for points which are scattered uniformly on the study area. However, for strip areas where the points scatter along a route (road etc. projects), the accuracy of the geoid heights obtained from these models is low. Therefore, different estimation techniques have to be implemented in strip areas instead of polynomial models. In this study, interpolation methods used in determining the geoid undulation of a strip area were researched and the identification of the best suitable method for the area was examined. For this purpose, geoid undulation values were calculated with the help of least-squares collocation (LSC) and radial basis functions such as Multiquadric (MQ), Thin Plate Spline (TPS) along with polynomial models, and results were presented. According to the results, it was observed that TPS, MQ, LSC methods respectively yield better results compared to polynomial methods. (C) 2015 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.measurement.2015.05.030
dc.identifier.endpage438en_US
dc.identifier.issn0263-2241
dc.identifier.issn1873-412X
dc.identifier.scopus2-s2.0-84937677184en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage429en_US
dc.identifier.urihttps://doi.org/10.1016/j.measurement.2015.05.030
dc.identifier.urihttps://hdl.handle.net/20.500.12452/12331
dc.identifier.volume73en_US
dc.identifier.wosWOS:000359309900041en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Sci Ltden_US
dc.relation.ispartofMeasurementen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGnss/Levellingen_US
dc.subjectGeoiden_US
dc.subjectPolynomialsen_US
dc.subjectLeast-Squares Collocationen_US
dc.subjectMultiquadricen_US
dc.subjectThin Plate Spline Interpolationen_US
dc.titleLocal geoid determination in strip area projects by using polynomials, least-squares collocation and radial basis functionsen_US
dc.typeArticleen_US

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