Abstract #1602

Decomposition of the incomplete volume-surface integral equation matrices for MR coil simulations

Ilias Giannakopoulos¹, Georgy Dmitrievich Guryev², Jose Enrique Cruz Serralles², Ioannis Georgakis¹, Luca Daniel², Jacob White², and Riccardo Lattanzi^1,3,4

¹Center for Advanced Imaging Innovation and Research (CAI2R), Department of Radiology, New York University Grossman School of Medicine, New York, NY, United States, ²Department of Electrical & Computer Engineering, Massachusetts Institute of Technology, Cambridge, MA, United States, ³The Bernard and Irene Schwartz Center for Biomedical Imaging (CBI), Department of Radiology, New York University Grossman School of Medicine, New York, NY, United States, ⁴Vilcek Institute of Graduate Biomedical Sciences, New York University Grossman School of Medicine, New York, NY, United States

The volume-surface integral equation (VSIE) method is used for rapid and accurate simulations of electromagnetic fields in magnetic resonance imaging. For the case of a 7T array and a numerical head phantom, we constructed the VSIE coupling matrix that models the interactions between the coil and the scatterer. We reshaped the columns of the matrix as incomplete 3D tensors. We investigated how the low rank properties of these tensors, could be exploited to compress the coupling matrix, by expressing the tensors in their canonical form. We showed that an excellent compression could be achieved with an error lower than 2%.

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