ArticleIEEE transactions on antennas and propagation2022
Compression of volume-surface integral equation matrices via Tucker decomposition for magnetic resonance applications.
Article in IEEE transactions on antennas and propagation, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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12 citing papers in PubMed.
- An Open-Source Software Toolbox for Rapid Radiofrequency Coil Design and Evaluation in MRI.Magnetic resonance in medicine · 2026Article
- Ultimate Intrinsic SNR in the Torso of Realistic Body Models.Magnetic resonance in medicine · 2026Article
- Comparative Assessment of Graglia-Wilton-Peterson and Rao-Wilton-Glisson Basis Functions for Radiofrequency Coil Modeling in Magnetic Resonance Imaging.IEEE journal on multiscale and multiphysics computational techniques · 2026Article
- Global Maxwell Tomography Using the Volume-Surface Integral Equation for Improved Estimation of Electrical Properties.IEEE transactions on bio-medical engineering · 2025Article
- An Optimization Framework for the Design of Radiofrequency Coils for Magnetic Resonance Imaging.bioRxiv : the preprint server for biology · 2025Article
- RF coil design strategies for improving SNR at the ultrahigh magnetic field of 10.5T.Magnetic resonance in medicine · 2025Article
- Performance of receive head arrays versus ultimate intrinsic SNR at 7 T and 10.5 T.Magnetic resonance in medicine · 2024Article
- Computational methods for the estimation of ideal current patterns in realistic human models.Magnetic resonance in medicine · 2024Article
- A Novel Tensor Ring Sparsity Measurement for Image Completion.Entropy (Basel, Switzerland) · 2024Article
- MARIE 2.0: A Perturbation Matrix Based Patient-Specific MRI Field Simulator.IEEE transactions on bio-medical engineering · 2023Article
- A Hybrid Volume-Surface Integral Equation Method for Rapid Electromagnetic Simulations in MRI.IEEE transactions on bio-medical engineering · 2023Article
- Novel Numerical Basis Sets for Electromagnetic Field Expansion in Arbitrary Inhomogeneous Objects.IEEE transactions on antennas and propagation · 2022Article
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7 authors.
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Abstract
In this work, we propose a method for the compression of the coupling matrix in volume-surface integral equation (VSIE) formulations. VSIE methods are used for electromagnetic analysis in magnetic resonance imaging (MRI) applications, for which the coupling matrix models the interactions between the coil and the body. We showed that these effects can be represented as independent interactions between remote elements in 3D tensor formats, and subsequently decomposed with the Tucker model. Our method can work in tandem with the adaptive cross approximation technique to provide fast solutions of VSIE problems. We demonstrated that our compression approaches can enable the use of VSIE matrices of prohibitive memory requirements, by allowing the effective use of modern graphical processing units (GPUs) to accelerate the arising matrix-vector products. This is critical to enable numerical MRI simulations at clinical voxel resolutions in a feasible computation time. In this paper, we demonstrate that the VSIE matrix-vector products needed to calculate the electromagnetic field produced by an MRI coil inside a numerical body model with 1 mm
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