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Morphology enabled dipole inversion (MEDI) from a single‐angle acquisition: Comparison with COSMOS in human brain imaging
Author(s) -
Liu Tian,
Liu Jing,
de Rochefort Ludovic,
Spincemaille Pascal,
Khalidov Ildar,
Ledoux James Robert,
Wang Yi
Publication year - 2011
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.22816
Subject(s) - quantitative susceptibility mapping , orientation (vector space) , magnetic susceptibility , inverse problem , dipole , nuclear magnetic resonance , inversion (geology) , sampling (signal processing) , physics , inverse , inverse transform sampling , computer science , computational physics , magnetic resonance imaging , optics , mathematics , mathematical analysis , biology , geometry , condensed matter physics , medicine , paleontology , quantum mechanics , structural basin , detector , surface wave , radiology
Magnetic susceptibility varies among brain structures and provides insights into the chemical and molecular composition of brain tissues. However, the determination of an arbitrary susceptibility distribution from the measured MR signal phase is a challenging, ill‐conditioned inverse problem. Although a previous method named calculation of susceptibility through multiple orientation sampling (COSMOS) has solved this inverse problem both theoretically and experimentally using multiple angle acquisitions, it is often impractical to carry out on human subjects. Recently, the feasibility of calculating the brain susceptibility distribution from a single‐angle acquisition was demonstrated using morphology enabled dipole inversion (MEDI). In this study, we further improved the original MEDI method by sparsifying the edges in the quantitative susceptibility map that do not have a corresponding edge in the magnitude image. Quantitative susceptibility maps generated by the improved MEDI were compared qualitatively and quantitatively with those generated by calculation of susceptibility through multiple orientation sampling. The results show a high degree of agreement between MEDI and calculation of susceptibility through multiple orientation sampling, and the practicality of MEDI allows many potential clinical applications. Magn Reson Med, 2011. © 2011 Wiley‐Liss, Inc.