Fourier transform magnetic resonance current density imaging (FT-MRCDI) from one component of magnetic flux density. Phys Med Biol 2010 Jun 07;55(11):3177-99
Date
05/19/2010Pubmed ID
20479512DOI
10.1088/0031-9155/55/11/013Scopus ID
2-s2.0-77957728538 (requires institutional sign-in at Scopus site) 6 CitationsAbstract
Fourier transform (FT)-based algorithms for magnetic resonance current density imaging (MRCDI) from one component of magnetic flux density have been developed for 2D and 3D problems. For 2D problems, where current is confined to the xy-plane and z-component of the magnetic flux density is measured also on the xy-plane inside the object, an iterative FT-MRCDI algorithm is developed by which both the current distribution inside the object and the z-component of the magnetic flux density on the xy-plane outside the object are reconstructed. The method is applied to simulated as well as actual data from phantoms. The effect of measurement error on the spatial resolution of the current density reconstruction is also investigated. For 3D objects an iterative FT-based algorithm is developed whereby the projected current is reconstructed on any slice using as data the Laplacian of the z-component of magnetic flux density measured for that slice. In an injected current MRCDI scenario, the current is not divergence free on the boundary of the object. The method developed in this study also handles this situation.
Author List
Ider YZ, Birgul O, Oran OF, Arikan O, Hamamura MJ, Muftuler LTAuthor
Lutfi Tugan Muftuler PhD Professor in the Neurosurgery department at Medical College of WisconsinMESH terms used to index this publication - Major topics in bold
AlgorithmsComputer Simulation
Fourier Analysis
Humans
Image Processing, Computer-Assisted
Magnetic Resonance Imaging
Magnetics
Models, Statistical