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In this work, we propose a method for the compression of the coupling matrix in volume\hyp surface integral equation (VSIE) formulations. VSIE methods are used for electromagnetic analysis in magnetic resonance imaging (MRI) applications,…

Computational Engineering, Finance, and Science · Computer Science 2022-01-26 Ilias I. Giannakopoulos , Georgy D. Guryev , Jose E. C. Serralles , Ioannis P. Georgakis , Luca Daniel , Jacob K. White , Riccardo Lattanzi

A stable volume integral equation (VIE) solver based on polarization/magnetization currents is presented, for the accurate and efficient computation of the electromagnetic scattering from highly inhomogeneous and high contrast objects.We…

Numerical Analysis · Computer Science 2020-12-24 Ioannis P. Georgakis , Ilias I. Giannakopoulos , Mikhail S. Litsarev , Athanasios G. Polimeridis

Objective: Global Maxwell Tomography (GMT) is a noninvasive inverse optimization method for the estimation of electrical properties (EP) from magnetic resonance (MR) measurements. GMT uses the volume integral equation (VIE) in the forward…

Computational Engineering, Finance, and Science · Computer Science 2025-05-21 Ilias Giannakopoulos , José E. Cruz Serrallés , Jan Paška , Martijn A. Cloos , Ryan Brown , Riccardo Lattanzi

Implementing electrophysiological recordings within an MRI environment is challenging due to complex interactions between recording probes and MRI-generated fields, which can affect both safety and data quality. This study aims to develop…

Surface integral equation (SIE) methods are of great interest for the numerical solution of Maxwell's equations in the presence of homogeneous objects. However, existing SIE algorithms have limitations, either in terms of scalability,…

Computational Physics · Physics 2021-06-14 Shashwat Sharma , Piero Triverio

Surface integral equation (SIE) methods are of great interest for the efficient electromagnetic modeling of various devices, from integrated circuits to antenna arrays. Existing acceleration algorithms for SIEs, such as the adaptive…

Computational Engineering, Finance, and Science · Computer Science 2021-07-13 Shashwat Sharma , Piero Triverio

We recently published an approach named ROVir (Region-Optimized Virtual coils) that uses the beamforming capabilities of a multichannel magnetic resonance imaging (MRI) receiver array to achieve coil compression (reducing an original set of…

Signal Processing · Electrical Eng. & Systems 2023-07-24 Justin P. Haldar

This paper presents a new boundary integral equation (BIE) method for simulating particulate and multiphase flows through periodic channels of arbitrary smooth shape in two dimensions. The authors consider a particular system---multiple…

Numerical Analysis · Mathematics 2015-10-20 Gary Marple , Alex Barnett , Adrianna Gillman , Shravan Veerapaneni

This paper presents a new technique for the virtual reality (VR) visu-alization of complex volume images obtained from computer tomography (CT) and Magnetic Resonance Imaging (MRI) by combining three-dimensional (3D) mesh processing and…

Multimedia · Computer Science 2023-05-02 Iva Vasic , Roberto Pierdicca , Emanuele Frontoni , Bata Vasic

Solving the electroencephalography (EEG) forward problem is a fundamental step in a wide range of applications including biomedical imaging techniques based on inverse source localization. State-of-the-art electromagnetic solvers resort to…

Computational Physics · Physics 2020-04-22 Maxime Y. Monin , Lyes Rahmouni , Adrien Merlini , Francesco P. Andriulli

Purpose: Conventional MRI is relying on the assumption of the magnetic field being homogeneous in direction and amplitude. However, with the growing interest in portable, affordable point-of-care MRI systems, these assumptions do not…

Medical Physics · Physics 2026-02-17 Fabian Bschorr , Thomas Hüfken , Tobias Lobmeyer , Volker Rasche

Neural image compression (NIC) has received considerable attention due to its significant advantages in feature representation and data optimization. However, most existing NIC methods for volumetric medical images focus solely on improving…

Image and Video Processing · Electrical Eng. & Systems 2024-12-13 Jietao Chen , Weijie Chen , Qianjian Xing , Feng Yu

High-resolution magnetic resonance imaging (MRI) is essential in clinical diagnosis. However, its long acquisition time remains a critical issue. Parallel imaging (PI) is a common approach to reduce acquisition time by periodically skipping…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Hao Li , Yusheng Zhou , Jianan Liu , Xiling Liu , Tao Huang , Zhihan Lyu , Weidong Cai , Wei Chen

Purpose: Earth system models (ESMs) integrate the interactions of the atmosphere, ocean, land, ice, and biosphere to estimate the state of regional and global climate under a wide variety of conditions. The ESMs are highly complex; thus,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Ehsan Zeraatkar , Salah Faroughi , Jelena Tešić

A hybrid surface integral equation partial differential equation (SIE-PDE) formulation without the boundary condition requirement is proposed to solve the transverse magnetic (TM) electromagnetic problems. In the proposed formulation, the…

Numerical Analysis · Mathematics 2022-09-21 Aipeng Sun , Zekun Zhu , Shunchuan Yang , Zhizhang , Chen

A major challenge in the computational fluid dynamics modeling of the heart function is the simulation of isovolumetric phases when the hemodynamics problem is driven by a prescribed boundary displacement. During such phases, both…

Numerical Analysis · Mathematics 2022-08-25 Alberto Zingaro , Michele Bucelli , Ivan Fumagalli , Luca Dede' , Alfio Quarteroni

Neural implicit surface representation methods have recently shown impressive 3D reconstruction results. However, existing solutions struggle to reconstruct driving scenes due to their large size, highly complex nature and their limited…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Hala Djeghim , Nathan Piasco , Moussab Bennehar , Luis Roldão , Dzmitry Tsishkou , Désiré Sidibé

Purpose: In multi-spectral imaging (MSI), several fast spin echo volumes with discrete Larmor frequency offsets are acquired in an interleaved fashion with multiple concatenations. Here, a variable resolution (VR) method to nearly halve…

Medical Physics · Physics 2023-06-06 Nikolai J. Mickevicius , Azadeh Sharafi , Andrew S. Nencka , Kevin M. Koch

Coarse-grained modeling and efficient computer simulations are critical to the study of complex molecular processes with many degrees of freedom and multiple spatiotemporal scales. Variational implicit-solvent model (VISM) for biomolecular…

Chemical Physics · Physics 2022-10-26 Shuang Liu , Zirui Zhang , Li-Tien Cheng , Bo Li

A thin-sheet (TS) volume integral equation (VIE) formulation incorporating generalized sheet transition conditions (GSTCs) is presented for the simulation of three-dimensional (3D) bianisotropic metasurfaces. The metasurface is represented…

Computational Physics · Physics 2026-04-24 Sebastian Celis Sierra , Meruyert Khamitova , Ran Zhao , Sadeed Bin Sayed , Hakan Bagci
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