Fast-Fourier-based error propagation for the gravimetric terrain correction

We have identified a gap in the literature on error propagation in the gravimetric terrain correction. Therefore, we have derived a mathematical framework to model the propagation of spatially correlated digital elevation model errors into gravimetric terrain corrections. As an example, we have dete...

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Main Authors: McCubbine, Jack, Featherstone, Will, Kirby, Jon
Format: Journal Article
Published: Society of Exploration Geophysics 2017
Online Access:http://hdl.handle.net/20.500.11937/55940
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author McCubbine, Jack
Featherstone, Will
Kirby, Jon
author_facet McCubbine, Jack
Featherstone, Will
Kirby, Jon
author_sort McCubbine, Jack
building Curtin Institutional Repository
collection Online Access
description We have identified a gap in the literature on error propagation in the gravimetric terrain correction. Therefore, we have derived a mathematical framework to model the propagation of spatially correlated digital elevation model errors into gravimetric terrain corrections. As an example, we have determined how such an error model can be formulated for the planar terrain correction and then be evaluated efficiently using the 2D Fourier transform. We have computed 18.3 billion linear terrain corrections and corresponding error estimates for a 1 arc-second (~30 m) digital elevation model covering the whole of the Australian continent.
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format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T10:04:46Z
publishDate 2017
publisher Society of Exploration Geophysics
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spelling curtin-20.500.11937-559402018-02-26T00:58:52Z Fast-Fourier-based error propagation for the gravimetric terrain correction McCubbine, Jack Featherstone, Will Kirby, Jon We have identified a gap in the literature on error propagation in the gravimetric terrain correction. Therefore, we have derived a mathematical framework to model the propagation of spatially correlated digital elevation model errors into gravimetric terrain corrections. As an example, we have determined how such an error model can be formulated for the planar terrain correction and then be evaluated efficiently using the 2D Fourier transform. We have computed 18.3 billion linear terrain corrections and corresponding error estimates for a 1 arc-second (~30 m) digital elevation model covering the whole of the Australian continent. 2017 Journal Article http://hdl.handle.net/20.500.11937/55940 10.1190/GEO2016-0627.1 Society of Exploration Geophysics fulltext
spellingShingle McCubbine, Jack
Featherstone, Will
Kirby, Jon
Fast-Fourier-based error propagation for the gravimetric terrain correction
title Fast-Fourier-based error propagation for the gravimetric terrain correction
title_full Fast-Fourier-based error propagation for the gravimetric terrain correction
title_fullStr Fast-Fourier-based error propagation for the gravimetric terrain correction
title_full_unstemmed Fast-Fourier-based error propagation for the gravimetric terrain correction
title_short Fast-Fourier-based error propagation for the gravimetric terrain correction
title_sort fast-fourier-based error propagation for the gravimetric terrain correction
url http://hdl.handle.net/20.500.11937/55940