Fourier transform magnetic resonance current density imaging (FT-MRCDI) from one component of magnetic flux density.
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.
Ider
Yusuf Ziya
YZ
Department of Electrical and Electronics Engineering, Bilkent University, Ankara, Turkey. ider@ee.bilkent.edu.tr
Birgul
Ozlem
O
Oran
Omer Faruk
OF
Arikan
Orhan
O
Hamamura
Mark J
MJ
Muftuler
L Tugan
LT
D000465:Algorithms; D003198:Computer Simulation; D005583:Fourier Analysis; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D008279:Magnetic Resonance Imaging / Q000379:methods*; D008280:Magnetics; D015233:Models, Statistical