Rational approximation of golden angles: Accelerated reconstructions for radial MRI.

dynamic MRI golden angle golden ratio sampling radial sampling rational approximation

Journal

Magnetic resonance in medicine
ISSN: 1522-2594
Titre abrégé: Magn Reson Med
Pays: United States
ID NLM: 8505245

Informations de publication

Date de publication:
09 Sep 2024
Historique:
revised: 12 07 2024
received: 08 01 2024
accepted: 25 07 2024
medline: 9 9 2024
pubmed: 9 9 2024
entrez: 9 9 2024
Statut: aheadofprint

Résumé

To develop a generic radial sampling scheme that combines the advantages of golden ratio sampling with simplicity of equidistant angular patterns. The irrational angle between consecutive spokes in golden ratio-based sampling schemes enables a flexible retrospective choice of temporal resolution, while preserving good coverage of k-space for each individual bin. Nevertheless, irrational increments prohibit precomputation of the point-spread function (PSF), can lead to numerical problems, and require more complex processing steps. To avoid these problems, a new sampling scheme based on a rational approximation of golden angles (RAGA) is developed. The theoretical properties of RAGA sampling are mathematically derived. Sidelobe-to-peak ratios (SPR) are numerically computed and compared to the corresponding golden ratio sampling schemes. The sampling scheme is implemented in the BART toolbox and in a radial gradient-echo sequence. Feasibility is shown for quantitative imaging in a phantom and a cardiac scan of a healthy volunteer. RAGA sampling can accurately approximate golden ratio sampling and has almost identical PSF and SPR. In contrast to golden ratio sampling, each frame can be reconstructed with the same equidistant trajectory using different sampling masks, and the angle of each acquired spoke can be encoded as a small index, which simplifies processing of the acquired data. RAGA sampling provides the advantages of golden ratio sampling while simplifying data processing, rendering it a valuable tool for dynamic and quantitative MRI.

Identifiants

pubmed: 39250418
doi: 10.1002/mrm.30247
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Subventions

Organisme : NIH HHS
ID : F30 AG077794
Pays : United States
Organisme : NIH HHS
ID : P41 EB017183
Pays : United States
Organisme : NIH HHS
ID : R01 NS131948
Pays : United States
Organisme : NIH HHS
ID : T32 GM136573
Pays : United States
Organisme : NIH HHS
ID : U24 EB029240
Pays : United States
Organisme : Deutsches Zentrum für Herz-Kreislaufforschung
ID : 81Z0300115
Organisme : Deutsche Forschungsgemeinschaft, Germany's Excellence Strategy
ID : EXC2067/1-390729940

Informations de copyright

© 2024 The Author(s). Magnetic Resonance in Medicine published by Wiley Periodicals LLC on behalf of International Society for Magnetic Resonance in Medicine.

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Auteurs

Nick Scholand (N)

Institute of Biomedical Imaging, Graz University of Technology, Graz, Austria.
Center for Biomedical Imaging, Department of Radiology, NYU School of Medicine, New York, New York, USA.
German Centre for Cardiovascular Research (DZHK), partner site Lower Saxony, Göttingen, Germany.

Philip Schaten (P)

Institute of Biomedical Imaging, Graz University of Technology, Graz, Austria.

Christina Graf (C)

Institute of Biomedical Imaging, Graz University of Technology, Graz, Austria.
Department of Pediatrics, The University of British Columbia, Vancouver, British Columbia, Canada.
Department of Physics and Astronomy, The University of British Columbia, Vancouver, British Columbia, Canada.

Daniel Mackner (D)

Institute of Biomedical Imaging, Graz University of Technology, Graz, Austria.

H Christian M Holme (HCM)

Institute of Biomedical Imaging, Graz University of Technology, Graz, Austria.

Moritz Blumenthal (M)

Institute of Biomedical Imaging, Graz University of Technology, Graz, Austria.
Institute for Diagnostic and Interventional Radiology, University Medical Center Göttingen, Göttingen, Germany.

Andrew Mao (A)

Center for Biomedical Imaging, Department of Radiology, NYU School of Medicine, New York, New York, USA.
Center for Advanced Imaging Innovation and Research (CAI2R), Department of Radiology, New York University School of Medicine, New York, New York, USA.
Vilcek Institute of Graduate Biomedical Sciences, New York University School of Medicine, New York, New York, USA.

Jakob Assländer (J)

Center for Biomedical Imaging, Department of Radiology, NYU School of Medicine, New York, New York, USA.
Center for Advanced Imaging Innovation and Research (CAI2R), Department of Radiology, New York University School of Medicine, New York, New York, USA.

Martin Uecker (M)

Institute of Biomedical Imaging, Graz University of Technology, Graz, Austria.
German Centre for Cardiovascular Research (DZHK), partner site Lower Saxony, Göttingen, Germany.
Institute for Diagnostic and Interventional Radiology, University Medical Center Göttingen, Göttingen, Germany.
BioTechMed-Graz, Graz, Austria.
Cluster of Excellence "Multiscale Bioimaging: from Molecular Machines to Networks of Excitable Cells" (MBExC), University of Göttingen, Göttingen, Germany.

Classifications MeSH