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dc.contributor.author
Kiani Shahvandi, Mostafa
dc.date.accessioned
2021-02-01T12:27:23Z
dc.date.available
2021-01-05T10:53:26Z
dc.date.available
2021-02-01T12:27:23Z
dc.date.issued
2020-03
dc.identifier.other
10.1016/j.geog.2019.12.003
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/459432
dc.identifier.doi
10.3929/ethz-b-000459432
dc.description.abstract
In this paper an introduction of the moving least squares approach is presented in the context of data approximation and interpolation problems in Geodesy. An application of this method is presented for geoid height approximation and interpolation using different polynomial basis functions for the approximant and interpolant, respectively, in a regular grid of geoid height data in the region 16.0417∘≤ϕ≤47.9583∘ and 36.0417∘≤λ≤69.9582∘, with increment 0.0833∘ in both latitudal and longitudal directions. The results of approximation and interpolation are then compared with the geoid height data from GPS-Levelling approach. Using the standard deviation of the difference of the results, it is shown that the planar interpolant, with reciprocal of distance as weight function, is the best choice in this local approximation and interpolation problem.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Elsevier
en_US
dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
Approximation and interpolation points
en_US
dc.subject
GPS-Levelling
en_US
dc.subject
Moving Least Squares
en_US
dc.subject
Geoid height
en_US
dc.subject
Grid points
en_US
dc.title
Local geoid height approximation and interpolation using moving least squares approach
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
dc.date.published
2020-03-24
ethz.journal.title
Geodesy and Geodynamics
ethz.journal.volume
11
en_US
ethz.journal.issue
2
en_US
ethz.pages.start
120
en_US
ethz.pages.end
126
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.publication.place
Amsterdam
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02115 - Dep. Bau, Umwelt und Geomatik / Dep. of Civil, Env. and Geomatic Eng.::02647 - Inst. f. Geodäsie und Photogrammetrie / Institute of Geodesy and Photogrammetry::09707 - Soja, Benedikt / Soja, Benedikt
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02115 - Dep. Bau, Umwelt und Geomatik / Dep. of Civil, Env. and Geomatic Eng.::02647 - Inst. f. Geodäsie und Photogrammetrie / Institute of Geodesy and Photogrammetry::09707 - Soja, Benedikt / Soja, Benedikt
en_US
ethz.date.deposited
2021-01-05T10:53:33Z
ethz.source
FORM
ethz.eth
no
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2021-02-01T12:27:31Z
ethz.rosetta.lastUpdated
2022-03-29T05:02:00Z
ethz.rosetta.versionExported
true
ethz.COinS
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