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 electromag...Show MoreMetadata
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 (EM) 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 3-D tensor formats, and subsequently decomposed with the Tucker model. Our method can work in tandem with the adaptive cross approximation (ACA) 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 article, we demonstrate that the VSIE matrix-vector products needed to calculate the EM field produced by an MRI coil inside a numerical body model with 1 mm3 voxel resolution, could be performed in ~33 s in a GPU, after compressing the associated coupling matrix from ~80 TB to ~43 MB.
Published in: IEEE Transactions on Antennas and Propagation ( Volume: 70, Issue: 1, January 2022)
Funding Agency:
Department of Radiology, Center for Advanced Imaging Innovation and Research (CAI2R), New York University Grossman School of Medicine, New York, NY, USA
Ilias I. Giannakopoulos (Member, IEEE) received the Diploma degree in electrical and computer engineering from the Aristotle University of Thessaloniki, Thessaloniki, Greece, in 2016, and the Ph.D. degree in computational and data science and engineering from the Skolkovo Institute of Science and Technology, Moscow, Russia, in 2020.
Since 2021, he has been a Post-Doctoral Fellow with the Center for Advanced Imagining Innov...Show More
Ilias I. Giannakopoulos (Member, IEEE) received the Diploma degree in electrical and computer engineering from the Aristotle University of Thessaloniki, Thessaloniki, Greece, in 2016, and the Ph.D. degree in computational and data science and engineering from the Skolkovo Institute of Science and Technology, Moscow, Russia, in 2020.
Since 2021, he has been a Post-Doctoral Fellow with the Center for Advanced Imagining Innov...View more
Department of Electrical Engineering and Computer Science, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA
Georgy D. Guryev was born in Sumy, Ukraine, in 1991. He received the Specialist degree in electrical engineering from Bauman Moscow State Technical University, Moscow, Russia, in 2014, and the master’s degree in computational science and engineering from the Skolkovo Institute of Science and Technology, Moscow, in 2017. He is currently pursuing the Ph.D. degree with the Massachusetts Institute of Technology, Cambridge, MA...Show More
Georgy D. Guryev was born in Sumy, Ukraine, in 1991. He received the Specialist degree in electrical engineering from Bauman Moscow State Technical University, Moscow, Russia, in 2014, and the master’s degree in computational science and engineering from the Skolkovo Institute of Science and Technology, Moscow, in 2017. He is currently pursuing the Ph.D. degree with the Massachusetts Institute of Technology, Cambridge, MA...View more
Department of Electrical Engineering and Computer Science, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA
José E. C. Serrallés (Member, IEEE) was born in San Juan, Puerto Rico. He is currently pursuing the Ph.D. degree with the Computational Prototyping Group, Electrical Engineering and Computer Science Department, Massachusetts Institute of Technology (MIT), Cambridge, MA, USA.
He is currently a Research Assistant with the Computational Prototyping Group, Electrical Engineering and Computer Science Department, MIT. His resear...Show More
José E. C. Serrallés (Member, IEEE) was born in San Juan, Puerto Rico. He is currently pursuing the Ph.D. degree with the Computational Prototyping Group, Electrical Engineering and Computer Science Department, Massachusetts Institute of Technology (MIT), Cambridge, MA, USA.
He is currently a Research Assistant with the Computational Prototyping Group, Electrical Engineering and Computer Science Department, MIT. His resear...View more
Department of Radiology, Center for Advanced Imaging Innovation and Research (CAI2R), New York University Grossman School of Medicine, New York, NY, USA
Ioannis P. Georgakis was born in Thessaloníki, Greece, in 1991. He received the Diploma degree in electrical engineering and computer science from the Aristotle University of Thessaloníki, Thessaloníki, Greece, in 2014, and the Ph.D. degree in computational and data science and engineering from the Skolkovo Institute of Science and Technology, Moscow, Russia, in 2019.
He is currently a Post-Doctoral Fellow with the New Yor...Show More
Ioannis P. Georgakis was born in Thessaloníki, Greece, in 1991. He received the Diploma degree in electrical engineering and computer science from the Aristotle University of Thessaloníki, Thessaloníki, Greece, in 2014, and the Ph.D. degree in computational and data science and engineering from the Skolkovo Institute of Science and Technology, Moscow, Russia, in 2019.
He is currently a Post-Doctoral Fellow with the New Yor...View more
Department of Electrical Engineering and Computer Science, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA
Luca Daniel (Member, IEEE) is currently a Professor of electrical engineering and computer science with the Massachusetts Institute of Technology (MIT), Cambridge, MA, USA. His research interests include the development of numerical techniques (i.e., uncertainty quantification, inverse problems, robust optimization, parameterized model order reduction, integral equation solvers) for large complex systems (e.g., magnetic r...Show More
Luca Daniel (Member, IEEE) is currently a Professor of electrical engineering and computer science with the Massachusetts Institute of Technology (MIT), Cambridge, MA, USA. His research interests include the development of numerical techniques (i.e., uncertainty quantification, inverse problems, robust optimization, parameterized model order reduction, integral equation solvers) for large complex systems (e.g., magnetic r...View more
Department of Electrical Engineering and Computer Science, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA
Jacob K. White (Fellow, IEEE) received the B.S. degree in electrical engineering and computer science (EECS) from the Massachusetts Institute of Technology (MIT), Cambridge, MA, USA, in 1980, and the S.M. and Ph.D. degrees in EECS from the University of California at Berkeley, Berkeley, CA, USA, in 1983 and 1985, respectively.
He was with the IBM T. J. Watson Research Center. He joined EECS, MIT, as an Analog Devices Caree...Show More
Jacob K. White (Fellow, IEEE) received the B.S. degree in electrical engineering and computer science (EECS) from the Massachusetts Institute of Technology (MIT), Cambridge, MA, USA, in 1980, and the S.M. and Ph.D. degrees in EECS from the University of California at Berkeley, Berkeley, CA, USA, in 1983 and 1985, respectively.
He was with the IBM T. J. Watson Research Center. He joined EECS, MIT, as an Analog Devices Caree...View more
Department of Radiology, Center for Advanced Imaging Innovation and Research (CAI2R), New York University Grossman School of Medicine, New York, NY, USA
Department of Radiology, Bernard and Irene Schwartz Center for Biomedical Imaging, New York University Grossman School of Medicine, New York, NY, USA
Vilcek Institute of Graduate Biomedical Sciences, New York University Grossman School of Medicine, New York, NY, USA
Riccardo Lattanzi (Senior Member, IEEE) received the degree in electronic engineering from the University of Bologna, Bologna, Italy, and the Ph.D. degree in medical engineering and medical physics from the Harvard-MIT Division of Health Sciences and Technology, Cambridge, MA, USA.
He is currently an Associate Professor of radiology, electrical and computer engineering with New York University, New York, NY, USA. His resea...Show More
Riccardo Lattanzi (Senior Member, IEEE) received the degree in electronic engineering from the University of Bologna, Bologna, Italy, and the Ph.D. degree in medical engineering and medical physics from the Harvard-MIT Division of Health Sciences and Technology, Cambridge, MA, USA.
He is currently an Associate Professor of radiology, electrical and computer engineering with New York University, New York, NY, USA. His resea...View more
Department of Radiology, Center for Advanced Imaging Innovation and Research (CAI2R), New York University Grossman School of Medicine, New York, NY, USA
Ilias I. Giannakopoulos (Member, IEEE) received the Diploma degree in electrical and computer engineering from the Aristotle University of Thessaloniki, Thessaloniki, Greece, in 2016, and the Ph.D. degree in computational and data science and engineering from the Skolkovo Institute of Science and Technology, Moscow, Russia, in 2020.
Since 2021, he has been a Post-Doctoral Fellow with the Center for Advanced Imagining Innovation and Research and the Bernard and Irene Schwartz Center for Biomedical Imaging, Department of Radiology, New York University Grossman School of Medicine, New York, NY, USA. His research interests include computational electromagnetics, with an emphasis on volume and surface integral equation methods, numerical linear algebra, magnetic resonance imaging, and inverse problems in computational physics.
Dr. Giannakopoulos was a recipient of the IEEE AP-S Student Paper Competition Honorable Mention Award and the ISMRM & SMRT Trainee Stipend Award.
Ilias I. Giannakopoulos (Member, IEEE) received the Diploma degree in electrical and computer engineering from the Aristotle University of Thessaloniki, Thessaloniki, Greece, in 2016, and the Ph.D. degree in computational and data science and engineering from the Skolkovo Institute of Science and Technology, Moscow, Russia, in 2020.
Since 2021, he has been a Post-Doctoral Fellow with the Center for Advanced Imagining Innovation and Research and the Bernard and Irene Schwartz Center for Biomedical Imaging, Department of Radiology, New York University Grossman School of Medicine, New York, NY, USA. His research interests include computational electromagnetics, with an emphasis on volume and surface integral equation methods, numerical linear algebra, magnetic resonance imaging, and inverse problems in computational physics.
Dr. Giannakopoulos was a recipient of the IEEE AP-S Student Paper Competition Honorable Mention Award and the ISMRM & SMRT Trainee Stipend Award.View more
Department of Electrical Engineering and Computer Science, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA
Georgy D. Guryev was born in Sumy, Ukraine, in 1991. He received the Specialist degree in electrical engineering from Bauman Moscow State Technical University, Moscow, Russia, in 2014, and the master’s degree in computational science and engineering from the Skolkovo Institute of Science and Technology, Moscow, in 2017. He is currently pursuing the Ph.D. degree with the Massachusetts Institute of Technology, Cambridge, MA, USA.
His current research interests include computational electromagnetics, numerical methods, applied physics, and engineering.
Mr. Guryev received the ISMRM Magna Cum Laude Merit Award in 2019.
Georgy D. Guryev was born in Sumy, Ukraine, in 1991. He received the Specialist degree in electrical engineering from Bauman Moscow State Technical University, Moscow, Russia, in 2014, and the master’s degree in computational science and engineering from the Skolkovo Institute of Science and Technology, Moscow, in 2017. He is currently pursuing the Ph.D. degree with the Massachusetts Institute of Technology, Cambridge, MA, USA.
His current research interests include computational electromagnetics, numerical methods, applied physics, and engineering.
Mr. Guryev received the ISMRM Magna Cum Laude Merit Award in 2019.View more
Department of Electrical Engineering and Computer Science, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA
José E. C. Serrallés (Member, IEEE) was born in San Juan, Puerto Rico. He is currently pursuing the Ph.D. degree with the Computational Prototyping Group, Electrical Engineering and Computer Science Department, Massachusetts Institute of Technology (MIT), Cambridge, MA, USA.
He is currently a Research Assistant with the Computational Prototyping Group, Electrical Engineering and Computer Science Department, MIT. His research interests include inverse problems (specifically in MRI), optimization-guided design (such as coil design), adjoint methods for optimization, and computational electromagnetics.
Mr. Serrallés received the ISMRM Magna Cum Laude Merit Award in 2017 and the Lemelson Engineering Presidential Fellowship Award in 2017.
José E. C. Serrallés (Member, IEEE) was born in San Juan, Puerto Rico. He is currently pursuing the Ph.D. degree with the Computational Prototyping Group, Electrical Engineering and Computer Science Department, Massachusetts Institute of Technology (MIT), Cambridge, MA, USA.
He is currently a Research Assistant with the Computational Prototyping Group, Electrical Engineering and Computer Science Department, MIT. His research interests include inverse problems (specifically in MRI), optimization-guided design (such as coil design), adjoint methods for optimization, and computational electromagnetics.
Mr. Serrallés received the ISMRM Magna Cum Laude Merit Award in 2017 and the Lemelson Engineering Presidential Fellowship Award in 2017.View more
Department of Radiology, Center for Advanced Imaging Innovation and Research (CAI2R), New York University Grossman School of Medicine, New York, NY, USA
Ioannis P. Georgakis was born in Thessaloníki, Greece, in 1991. He received the Diploma degree in electrical engineering and computer science from the Aristotle University of Thessaloníki, Thessaloníki, Greece, in 2014, and the Ph.D. degree in computational and data science and engineering from the Skolkovo Institute of Science and Technology, Moscow, Russia, in 2019.
He is currently a Post-Doctoral Fellow with the New York University School of Medicine, New York, NY, USA, where he is also a member of the Center for Advanced Imaging Innovation and Research. His research interests include computational physics and engineering with a focus on integral equations methods for computational electromagnetics, model order reduction, and magnetic resonance modeling.
Ioannis P. Georgakis was born in Thessaloníki, Greece, in 1991. He received the Diploma degree in electrical engineering and computer science from the Aristotle University of Thessaloníki, Thessaloníki, Greece, in 2014, and the Ph.D. degree in computational and data science and engineering from the Skolkovo Institute of Science and Technology, Moscow, Russia, in 2019.
He is currently a Post-Doctoral Fellow with the New York University School of Medicine, New York, NY, USA, where he is also a member of the Center for Advanced Imaging Innovation and Research. His research interests include computational physics and engineering with a focus on integral equations methods for computational electromagnetics, model order reduction, and magnetic resonance modeling.View more
Department of Electrical Engineering and Computer Science, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA
Luca Daniel (Member, IEEE) is currently a Professor of electrical engineering and computer science with the Massachusetts Institute of Technology (MIT), Cambridge, MA, USA. His research interests include the development of numerical techniques (i.e., uncertainty quantification, inverse problems, robust optimization, parameterized model order reduction, integral equation solvers) for large complex systems (e.g., magnetic resonance imaging scanners, power networks, silicon photonics, deep neural networks).
Prof. Daniel has received the best-paper awards from several journals, such as IEEE Transactions on Power Electronics, IEEE Transactions on Computer Aided Design, and IEEE Transactions on Components and Manufacturing. He has also received 14 best-paper awards from international conferences, the IEEE Early Career Award, the IBM Corporation Faculty Award, the Spira Award for Excellence in Teaching from the MIT School of Engineering, the best Ph.D. thesis awards from the Department of Mathematics and the Department of Electrical Engineering, UC Berkeley, and from the Association in Computing Machinery (ACM).
Luca Daniel (Member, IEEE) is currently a Professor of electrical engineering and computer science with the Massachusetts Institute of Technology (MIT), Cambridge, MA, USA. His research interests include the development of numerical techniques (i.e., uncertainty quantification, inverse problems, robust optimization, parameterized model order reduction, integral equation solvers) for large complex systems (e.g., magnetic resonance imaging scanners, power networks, silicon photonics, deep neural networks).
Prof. Daniel has received the best-paper awards from several journals, such as IEEE Transactions on Power Electronics, IEEE Transactions on Computer Aided Design, and IEEE Transactions on Components and Manufacturing. He has also received 14 best-paper awards from international conferences, the IEEE Early Career Award, the IBM Corporation Faculty Award, the Spira Award for Excellence in Teaching from the MIT School of Engineering, the best Ph.D. thesis awards from the Department of Mathematics and the Department of Electrical Engineering, UC Berkeley, and from the Association in Computing Machinery (ACM).View more
Department of Electrical Engineering and Computer Science, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA
Jacob K. White (Fellow, IEEE) received the B.S. degree in electrical engineering and computer science (EECS) from the Massachusetts Institute of Technology (MIT), Cambridge, MA, USA, in 1980, and the S.M. and Ph.D. degrees in EECS from the University of California at Berkeley, Berkeley, CA, USA, in 1983 and 1985, respectively.
He was with the IBM T. J. Watson Research Center. He joined EECS, MIT, as an Analog Devices Career Development Assistant Professor in 1987. He is currently the C. H. Green Professor with the EECS Department, MIT, where he is involved in simulation and optimization techniques for problems in medical technology, nanophotonics, and electrical circuits and interconnect; and experimenting with blended computation-and maker-centric strategies for teaching control, machine learning, and electromagnetics.
Dr. White was a co-recipient of the 2013 A. R. Newton Technical Impact Award in EDA with Keith Nabors for their fast capacitance extraction program FastCap. He was a Presidential Young Investigator in 1988, an Associate Editor of the IEEE Transactions on Computer- Aided Design of Integrated Circuits and Systems from 1992 to 1996, a member of the Spectre/SpectreRF Development Team from 1989 to 1999, and the Chair of the International Conference on Computer-Aided Design in 1999. He served as an Associate Director for the Research Laboratory of Electronics, MIT, from 2001 to 2006, an Academic Research Fellow for Ansoft/Ansys from 2010 to 2016, and the MIT EECS Co-Education Officer from 2011 to 2014.
Jacob K. White (Fellow, IEEE) received the B.S. degree in electrical engineering and computer science (EECS) from the Massachusetts Institute of Technology (MIT), Cambridge, MA, USA, in 1980, and the S.M. and Ph.D. degrees in EECS from the University of California at Berkeley, Berkeley, CA, USA, in 1983 and 1985, respectively.
He was with the IBM T. J. Watson Research Center. He joined EECS, MIT, as an Analog Devices Career Development Assistant Professor in 1987. He is currently the C. H. Green Professor with the EECS Department, MIT, where he is involved in simulation and optimization techniques for problems in medical technology, nanophotonics, and electrical circuits and interconnect; and experimenting with blended computation-and maker-centric strategies for teaching control, machine learning, and electromagnetics.
Dr. White was a co-recipient of the 2013 A. R. Newton Technical Impact Award in EDA with Keith Nabors for their fast capacitance extraction program FastCap. He was a Presidential Young Investigator in 1988, an Associate Editor of the IEEE Transactions on Computer- Aided Design of Integrated Circuits and Systems from 1992 to 1996, a member of the Spectre/SpectreRF Development Team from 1989 to 1999, and the Chair of the International Conference on Computer-Aided Design in 1999. He served as an Associate Director for the Research Laboratory of Electronics, MIT, from 2001 to 2006, an Academic Research Fellow for Ansoft/Ansys from 2010 to 2016, and the MIT EECS Co-Education Officer from 2011 to 2014.View more
Department of Radiology, Center for Advanced Imaging Innovation and Research (CAI2R), New York University Grossman School of Medicine, New York, NY, USA
Department of Radiology, Bernard and Irene Schwartz Center for Biomedical Imaging, New York University Grossman School of Medicine, New York, NY, USA
Vilcek Institute of Graduate Biomedical Sciences, New York University Grossman School of Medicine, New York, NY, USA
Riccardo Lattanzi (Senior Member, IEEE) received the degree in electronic engineering from the University of Bologna, Bologna, Italy, and the Ph.D. degree in medical engineering and medical physics from the Harvard-MIT Division of Health Sciences and Technology, Cambridge, MA, USA.
He is currently an Associate Professor of radiology, electrical and computer engineering with New York University, New York, NY, USA. His research interests include the boundary between physics, engineering, and medicine. He investigates fundamental principles involving the interactions of electromagnetic fields with biological tissue in order to improve the diagnostic power of magnetic resonance imaging.
Dr. Lattanzi was a recipient of the ISMRM Young Investigator Award and the NSF CAREER Award.
Riccardo Lattanzi (Senior Member, IEEE) received the degree in electronic engineering from the University of Bologna, Bologna, Italy, and the Ph.D. degree in medical engineering and medical physics from the Harvard-MIT Division of Health Sciences and Technology, Cambridge, MA, USA.
He is currently an Associate Professor of radiology, electrical and computer engineering with New York University, New York, NY, USA. His research interests include the boundary between physics, engineering, and medicine. He investigates fundamental principles involving the interactions of electromagnetic fields with biological tissue in order to improve the diagnostic power of magnetic resonance imaging.
Dr. Lattanzi was a recipient of the ISMRM Young Investigator Award and the NSF CAREER Award.View more