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dc.contributor.author
Myre, Joseph M.
dc.contributor.author
Lascu, Ioan
dc.contributor.author
Lima, Eduardo A.
dc.contributor.author
Feinberg, Joshua M.
dc.contributor.author
Saar, Martin O.
dc.contributor.author
Weiss, Benjamin P.
dc.date.accessioned
2019-02-18T16:03:59Z
dc.date.available
2019-02-11T04:34:48Z
dc.date.available
2019-02-18T16:02:25Z
dc.date.available
2019-02-18T16:03:59Z
dc.date.issued
2019-02-04
dc.identifier.issn
1343-8832
dc.identifier.issn
1880-5981
dc.identifier.other
10.1186/s40623-019-0988-8
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/324096
dc.identifier.doi
10.3929/ethz-b-000324096
dc.description.abstract
Modern magnetic microscopy (MM) provides high-resolution, ultra-high-sensitivity moment magnetometry, with the ability to measure at spatial resolutions better than 10−4 m and to detect magnetic moments weaker than 10−15 Am2. These characteristics make modern MM devices capable of particularly high-resolution analysis of the magnetic properties of materials, but generate extremely large data sets. Many studies utilizing MM attempt to solve an inverse problem to determine the magnitude of the magnetic moments that produce the measured component of the magnetic field. Fast Fourier techniques in the frequency domain and non-negative least-squares (NNLS) methods in the spatial domain are the two most frequently used methods to solve this inverse problem. Although extremely fast, Fourier techniques can produce solutions that violate the non-negativity of moments constraint. Inversions in the spatial domain do not violate non-negativity constraints, but the execution times of standard NNLS solvers (the Lawson and Hanson method and Matlab’s lsqlin) prohibit spatial domain inversions from operating at the full spatial resolution of an MM. In this paper, we present the applicability of the TNT-NN algorithm, a newly developed NNLS active set method, as a means to directly address the NNLS routine hindering existing spatial domain inversion methods. The TNT-NN algorithm enhances the performance of spatial domain inversions by accelerating the core NNLS routine. Using a conventional computing system, we show that the TNT-NN algorithm produces solutions with residuals comparable to conventional methods while reducing execution time of spatial domain inversions from months to hours or less. Using isothermal remanent magnetization measurements of multiple synthetic and natural samples, we show that the capabilities of the TNT-NN algorithm allow scans with sizes that made them previously inaccesible to NNLS techniques to be inverted. Ultimately, the TNT-NN algorithm enables spatial domain inversions of MM data on an accelerated timescale that renders spatial domain analyses for modern MM studies practical. In particular, this new technique enables MM experiments that would have required an impractical amount of inversion time such as high-resolution stepwise magnetization and demagnetization and 3-dimensional inversions.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.subject
Magnetic microscopy
en_US
dc.subject
Rock magnetism
en_US
dc.subject
Non-negative least-squares
en_US
dc.title
Using TNT-NN to unlock the fast full spatial inversion of large magnetic microscopy data sets
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
ethz.journal.title
Earth, Planets and Space
ethz.journal.volume
71
en_US
ethz.journal.abbreviated
Earth planets space
ethz.pages.start
14
en_US
ethz.size
26 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.scopus
ethz.publication.place
Heidelberg
en_US
ethz.publication.status
published
en_US
ethz.date.deposited
2019-02-11T04:34:49Z
ethz.source
SCOPUS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2019-02-18T16:02:32Z
ethz.rosetta.lastUpdated
2019-02-18T16:04:10Z
ethz.rosetta.exportRequired
false
ethz.rosetta.versionExported
true
ethz.COinS
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