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Book Chapter: A frame reconstruction algorithm with applications to magnetic resonance imaging

TitleA frame reconstruction algorithm with applications to magnetic resonance imaging
Authors
Benedetto, John J.Nava-Tudela, AlfredoPowell, Alexander M.Wang, Yang
KeywordsImaging equation
Magnetic dipole
Magnetic dipole moment
Signal reconstruction
Transversal magnetization
Issue Date2017
Citation
Applied and Numerical Harmonic Analysis, 2017, n. 9783319555492, p. 185-213 How to Cite?
DOI: http://dx.doi.org/10.1007/978-3-319-55550-8_9
AbstractA frame theoretic technique is introduced that combines Fourier and finite frames. The technique is based on fundamental theorems by Beurling and Landau in the theory of Fourier frames, and transitions to the finite frame case, where an algorithm is constructed. The algorithm exhibits the strengths of frame theory dealing with noise reduction and stable signal reconstruction. It was designed to resolve problems dealing with fast spectral data acquisition in magnetic resonance imaging (MRI), and has applicability to a larger class of signal reconstruction problems.
Persistent Identifierhttp://hdl.handle.net/10722/363285
ISSN
2296-5009
2020 SCImago Journal Rankings: 0.125

 

DC FieldValueLanguage
dc.contributor.authorBenedetto, John J.-
dc.contributor.authorNava-Tudela, Alfredo-
dc.contributor.authorPowell, Alexander M.-
dc.contributor.authorWang, Yang-
dc.date.accessioned2025-10-10T07:45:49Z-
dc.date.available2025-10-10T07:45:49Z-
dc.date.issued2017-
dc.identifier.citationApplied and Numerical Harmonic Analysis, 2017, n. 9783319555492, p. 185-213-
dc.identifier.issn2296-5009-
dc.identifier.urihttp://hdl.handle.net/10722/363285-
dc.description.abstractA frame theoretic technique is introduced that combines Fourier and finite frames. The technique is based on fundamental theorems by Beurling and Landau in the theory of Fourier frames, and transitions to the finite frame case, where an algorithm is constructed. The algorithm exhibits the strengths of frame theory dealing with noise reduction and stable signal reconstruction. It was designed to resolve problems dealing with fast spectral data acquisition in magnetic resonance imaging (MRI), and has applicability to a larger class of signal reconstruction problems.-
dc.languageeng-
dc.relation.ispartofApplied and Numerical Harmonic Analysis-
dc.subjectImaging equation-
dc.subjectMagnetic dipole-
dc.subjectMagnetic dipole moment-
dc.subjectSignal reconstruction-
dc.subjectTransversal magnetization-
dc.titleA frame reconstruction algorithm with applications to magnetic resonance imaging-
dc.typeBook_Chapter-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/978-3-319-55550-8_9-
dc.identifier.scopuseid_2-s2.0-85047244892-
dc.identifier.issue9783319555492-
dc.identifier.spage185-
dc.identifier.epage213-
dc.identifier.eissn2296-5017-

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