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Objective: Global Maxwell Tomography (GMT) is a recently introduced volumetric technique for noninvasive estimation of electrical properties (EP) from magnetic resonance measurements. Previous work evaluated GMT using ideal radiofrequency…

Objective: We developed a hybrid volume surface integral equation (VSIE) method based on domain decomposition to perform fast and accurate magnetic resonance imaging (MRI) simulations that include both remote and local conductive elements.…

Computational Engineering, Finance, and Science · Computer Science 2022-06-28 Ilias I. Giannakopoulos , Georgy D. Guryev , José E. C. Serrallés , Jan Paška , Bei Zhang , Luca Daniel , Jacob K. White , Christopher M. Collins , Riccardo Lattanzi

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

In quantitative Magnetic Resonance Imaging, traditional methods suffer from the so-called Partial Volume Effect (PVE) due to spatial resolution limitations. As a consequence of PVE, the parameters of the voxels containing more than one…

Image and Video Processing · Electrical Eng. & Systems 2019-07-30 Roberto Duarte , Audrey Repetti , Pedro A. Gómez , Mike Davies , Yves Wiaux

Extracting compact, physically interpretable representations from high-dimensional scientific data is a persistent challenge due to the complex, nonlinear structures inherent in physical systems. We propose a Gaussian Mixture Variational…

Machine Learning · Computer Science 2025-12-01 Tiffany Fan , Murray Cutforth , Marta D'Elia , Alexandre Cortiella , Alireza Doostan , Eric Darve

In this paper we present a new regularized electric flux volume integral equation (D-VIE) for modeling high-contrast conductive dielectric objects in a broad frequency range. This new formulation is particularly suitable for modeling…

Image and Video Processing · Electrical Eng. & Systems 2021-08-25 Clément Henry , Adrien Merlini , Lyes Rahmouni , Francesco P. Andriulli

We present a method of memory footprint reduction for FFT-based, electromagnetic (EM) volume integral equation (VIE) formulations. The arising Green's function tensors have low multilinear rank, which allows Tucker decomposition to be…

Numerical Analysis · Computer Science 2020-01-08 Ilias I. Giannakopoulos , Mikhail S. Litsarev , Athanasios G. Polimeridis

The generalized maximum entropy method (GMEM) is a special modification of the standard maximum entropy method (MEM) which seeks solutions in the space of complex functions. In this work a reduced version of the GMEM intended for…

Astrophysics · Physics 2015-06-24 Anisa T. Bajkova

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

Noninvasive reconstruction of cardiac transmembrane potential (TMP) from surface electrocardiograms (ECG) involves an ill-posed inverse problem. Model-constrained regularization is powerful for incorporating rich physiological knowledge…

Image and Video Processing · Electrical Eng. & Systems 2019-05-14 Sandesh Ghimire , Jwala Dhamala , Prashnna Kumar Gyawali , John L Sapp , B. Milan Horacek , Linwei Wang

Purpose: To develop a general framework for Parallel Imaging (PI) with the use of Maxwell regularization for the estimation of the sensitivity maps (SMs) and constrained optimization for the parameter-free image reconstruction. Theory and…

Image and Video Processing · Electrical Eng. & Systems 2020-08-21 Matteo Alessandro Francavilla , Stamatios Lefkimmiatis , Jorge F. Villena , Athanasios G. Polimeridis

In this paper, a novel linear method for shape reconstruction is proposed based on the generalized multiple measurement vectors (GMMV) model. Finite difference frequency domain (FDFD) is applied to discretized Maxwell's equations, and the…

Signal Processing · Electrical Eng. & Systems 2019-06-27 Shilong Sun , Bert Jan Kooij , Alexander G. Yarovoy , Tian Jin

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

Masked autoencoder (MAE) is a promising self-supervised pre-training technique that can improve the representation learning of a neural network without human intervention. However, applying MAE directly to volumetric medical images poses…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Jia-Xin Zhuang , Luyang Luo , Hao Chen

Multi-frequency Electrical Impedance Tomography (mfEIT) is an emerging biomedical imaging modality to reveal frequency-dependent conductivity distributions in biomedical applications. Conventional model-based image reconstruction methods…

Image and Video Processing · Electrical Eng. & Systems 2021-05-27 Zhou Chen , Jinxi Xiang , Pierre Bagnaninchi , Yunjie Yang

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

Extracting insight from the enormous quantity of data generated from molecular simulations requires the identification of a small number of collective variables whose corresponding low-dimensional free-energy landscape retains the essential…

Chemical Physics · Physics 2019-12-30 Yasemin Bozkurt Varolgunes , Tristan Bereau , Joseph F. Rudzinski

Multi-frequency Electrical Impedance Tomography (mfEIT) is a promising biomedical imaging technique that estimates tissue conductivities across different frequencies. Current state-of-the-art (SOTA) algorithms, which rely on supervised…

Image and Video Processing · Electrical Eng. & Systems 2024-09-18 Hao Fang , Zhe Liu , Yi Feng , Zhen Qiu , Pierre Bagnaninchi , Yunjie Yang

This paper presents a multi-resolution reconstruction method for Electrical Impedance Tomography (EIT), referred to as MR-EIT, which is capable of operating in both supervised and unsupervised learning modes. MR-EIT integrates an ordered…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Fangming Shi , Jinzhen Liu , Xiangqian Meng , Yapeng Zhou , Hui Xiong

The needle bio-potential sensors for measuring muscle and brain activity need invasive surgical targeted muscle reinnervation (TMR) and a demanding process to maintain, but surface bio-potential sensors lack clear bio-signal reading…

Neurons and Cognition · Quantitative Biology 2023-05-11 Ahmed Ayman - Mohamed Sabry
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