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In vivo mapping of the neurite density with diffusion MRI (dMRI) is a high but challenging aim. First, it is unknown whether all neurites exhibit completely anisotropic ('stick-like') diffusion. Second, the 'density' of tissue components…

Electrical Impedance Tomography (EIT) is a powerful imaging technique with diverse applications, e.g., medical diagnosis, industrial monitoring, and environmental studies. The EIT inverse problem is about inferring the internal conductivity…

Machine Learning · Computer Science 2023-10-31 Derick Nganyu Tanyu , Jianfeng Ning , Andreas Hauptmann , Bangti Jin , Peter Maass

The noise in diffusion-weighted images (DWIs) decreases the accuracy and precision of diffusion tensor magnetic resonance imaging (DTI) derived microstructural parameters and leads to prolonged acquisition time for achieving improved…

Image and Video Processing · Electrical Eng. & Systems 2021-11-16 Qiyuan Tian , Ziyu Li , Qiuyun Fan , Jonathan R. Polimeni , Berkin Bilgic , David H. Salat , Susie Y. Huang

We propose a second-order temporally implicit, fourth-order-accurate spatial discretization scheme for the strongly anisotropic heat transport equation characteristic of hot, fusion-grade plasmas. Following [Du Toit et al., Comp. Phys.…

Computational Physics · Physics 2024-09-11 L. Chacon , Jason Hamilton , Natalia Krasheninnikova

Diffusion Tensor Imaging (DTI) is an effective tool for the analysis of structural brain connectivity in normal development and in a broad range of brain disorders. However efforts to derive inherent characteristics of structural brain…

Computational Engineering, Finance, and Science · Computer Science 2018-02-14 Yu Jin , Joseph F. JaJa , Rong Chen , Edward H. Herskovits

This paper addresses the problem of tomography for the interior of dissipative materials, with a focus on Magnetic Induction Tomography (MIT), a proven technique for imaging the interior of conductive materials using low-frequency…

Analysis of PDEs · Mathematics 2026-01-06 Antonello Tamburrino , Antonio Corbo Esposito , Gianpaolo Piscitelli

Anisotropic magnetoresistance (AMR) is a ubiquitous and versatile probe of magnetic order in contemporary spintronics research. Its origins are usually ascribed to extrinsic effects (i.e. spin-dependent electron scattering), whereas…

Based on statistical analysis of synchrotron polarization intensity, we study the anisotropic properties of compressible magnetohydrodynamic (MHD) turbulence. The second-order normalized structure function, quadrupole ratio modulus and…

High Energy Astrophysical Phenomena · Physics 2020-02-26 Ru-Yue Wang , Jian-Fu Zhang , Fu-Yuan Xiang

Heterogeneous anisotropic diffusion problems arise in the various areas of science and engineering including plasma physics, petroleum engineering, and image processing. Standard numerical methods can produce spurious oscillations when they…

Numerical Analysis · Mathematics 2015-05-18 Xianping Li , Weizhang Huang

Anisotropic diffusion processes emerge in various fields such as transport in biological tissue and diffusion in liquid crystals. In such systems, the motion is described by a diffusion tensor. For a proper characterization of processes…

Data Analysis, Statistics and Probability · Physics 2013-11-14 Mario Heidernätsch , Michael Bauer , Günter Radons

Positron Emission Tomography and Magnetic Resonance Imaging (PET-MRI) systems can obtain functional and anatomical scans. PET suffers from a low signal-to-noise ratio. Meanwhile, the k-space data acquisition process in MRI is…

Image and Video Processing · Electrical Eng. & Systems 2024-07-12 Taofeng Xie , Zhuo-Xu Cui , Chen Luo , Huayu Wang , Congcong Liu , Yuanzhi Zhang , Xuemei Wang , Yanjie Zhu , Guoqing Chen , Dong Liang , Qiyu Jin , Yihang Zhou , Haifeng Wang

Diffusion-weighted Magnetic Resonance Imaging (dMRI) is increasingly used to study the fetal brain in utero. An important computation enabled by dMRI is streamline tractography, which has unique applications such as tract-specific analysis…

Computer Vision and Pattern Recognition · Computer Science 2024-03-06 Camilo Calixto , Camilo Jaimes , Matheus D. Soldatelli , Simon K. Warfield , Ali Gholipour , Davood Karimi

A simplified model of anisotropic magnetic susceptibility in the Meissner-London vortex-free state of cuboidal superconducting samples is presented. Using this model, precision measurements of the magnetic response in three perpendicular…

Superconductivity · Physics 2024-11-28 Ruslan Prozorov

Brain activation mapping using functional MRI (fMRI) based on blood oxygenation level-dependent (BOLD) contrast has been conventionally focused on probing gray matter, the BOLD contrast in white matter having been generally disregarded.…

Signal Processing · Electrical Eng. & Systems 2019-10-25 David Abramian , Martin Larsson , Anders Eklund , Hamid Behjat

Optical wavefront-shaping has emerged as a powerful tool to manipulate light in strongly scattering media. It enables diffraction-limited focusing and imaging at depths where conventional microscopy techniques fail. However, while most…

Optics · Physics 2014-03-04 T. Chaigne , O. Katz , A. C. Boccara , M. Fink , E. Bossy , S. Gigan

Purpose: To facilitate the implementation/validation of signal representations and models using parametric matrix-variate distributions to approximate the diffusion tensor distribution (DTD) $\mathcal{P}(\mathbf{D})$. Theory: We establish…

Computational Engineering, Finance, and Science · Computer Science 2020-05-25 A. Reymbaut

We report Tensorial Tomographic Differential Phase-Contrast microscopy (T2DPC), a quantitative label-free tomographic imaging method for simultaneous measurement of phase and anisotropy. T2DPC extends differential phase-contrast microscopy,…

High angular resolution diffusion imaging (HARDI) is a type of diffusion magnetic resonance imaging (dMRI) that measures diffusion signals on a sphere in q-space. It has been widely used in data acquisition for human brain structural…

Applications · Statistics 2021-11-12 William Consagra , Arun Venkataraman , Zhengwu Zhang

Diffusion tensor imaging (DTI) has been used to study the effects of neurodegenerative diseases on neural pathways, which may lead to more reliable and early diagnosis of these diseases as well as a better understanding of how they affect…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Chaoqing Xu , Tyson Neuroth , Takanori Fujiwara , Ronghua Liang , Kwan-Liu Ma

Diffusion Tensor Cardiac Magnetic Resonance (DT-CMR) is the only in vivo method to non-invasively examine the microstructure of the human heart. Current research in DT-CMR aims to improve the understanding of how the cardiac microstructure…

Image and Video Processing · Electrical Eng. & Systems 2026-05-19 Yinzhe Wu , Jiahao Huang , Fanwen Wang , Pedro Ferreira , Andrew Scott , Sonia Nielles-Vallespin , Guang Yang