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Purpose: Diffusion MRI (dMRI) provides a diverse set of quantitative measures and derived datatypes to assess white matter microstructure and macrostructure. Coupled with the increasing size of imaging studies using dMRI, the number of…

Magnetic resonance imaging technique known as DWI (diffusion-weighted imaging) allows measurement of water diffusivity on a pixel basis for evaluating pathology throughout the body and is now routinely incorporated into many body MRI…

Medical Physics · Physics 2016-11-28 Andrea Barucci , Roberto Carpi , Marco Esposito , Maristella Olmastroni , Giovanna Zatelli

Axonal damage is the primary pathological correlate of long-term impairment in multiple sclerosis (MS). Previous work has demonstrated a strong, quantitative relationship between decrease in axial diffusivity and axonal damage. In the…

Computational Engineering, Finance, and Science · Computer Science 2024-10-15 Nand Sharma

Magnetic resonance imaging (MRI) is a widely used non-invasive imaging modality. However, a persistent challenge lies in balancing image quality with imaging speed. This trade-off is primarily constrained by k-space measurements, which…

Image and Video Processing · Electrical Eng. & Systems 2025-11-19 Guanxiong Luo , Shoujin Huang , Martin Uecker

Magnetic resonance imaging (MRI) is a common and life-saving medical imaging technique. However, acquiring high signal-to-noise ratio MRI scans requires long scan times, resulting in increased costs and patient discomfort, and decreased…

Image and Video Processing · Electrical Eng. & Systems 2023-02-07 Tiange Xiang , Mahmut Yurt , Ali B Syed , Kawin Setsompop , Akshay Chaudhari

Over the past few decades, magnetic resonance imaging has been utilized as a powerful imaging modality to evaluate the structure and function of various organs in the human body,such as the brain. Additionally, diffusion and perfusion MR…

Medical Physics · Physics 2016-12-12 Sanam Assili

Magnetic resonance imaging (MRI) is indispensable for diagnosing and planning treatment in various medical conditions due to its ability to produce multi-series images that reveal different tissue characteristics. However, integrating these…

Image and Video Processing · Electrical Eng. & Systems 2024-12-11 Churan Wang , Fei Gao , Lijun Yan , Siwen Wang , Yizhou Yu , Yizhou Wang

Current deep learning approaches for diffusion MRI modeling circumvent the need for densely-sampled diffusion-weighted images (DWIs) by directly predicting microstructural indices from sparsely-sampled DWIs. However, they implicitly make…

Image and Video Processing · Electrical Eng. & Systems 2021-06-25 Mengwei Ren , Heejong Kim , Neel Dey , Guido Gerig

Diffusion magnetic resonance imaging (dMRI) tractography is an advanced imaging technique that enables in vivo mapping of the brain's white matter connections at macro scale. Over the last two decades, the study of brain connectivity using…

Quantitative Methods · Quantitative Biology 2021-04-26 Fan Zhang , Alessandro Daducci , Yong He , Simona Schiavi , Caio Seguin , Robert Smith , Chun-Hung Yeh , Tengda Zhao , Lauren J. O'Donnell

Diffusion-weighted magnetic resonance imaging (DW-MRI) is a non-invasive way of imaging white matter tracts in the human brain. DW-MRIs are usually acquired using echo-planar imaging (EPI) with high gradient fields, which could introduce…

Image and Video Processing · Electrical Eng. & Systems 2023-04-04 Zhangxing Bian , Muhan Shao , Aaron Carass , Jerry L. Prince

High spatio-angular resolution diffusion MRI (dMRI) has been shown to provide accurate identification of complex neuronal fiber configurations, albeit, at the cost of long acquisition times. We propose a method to recover intra-voxel fiber…

Image and Video Processing · Electrical Eng. & Systems 2021-12-07 Marica Pesce , Audrey Repetti , Anna Auría , Alessandro Daducci , Jean-Philippe Thiran , Yves Wiaux

We review, systematize and discuss models of diffusion in neuronal tissue, by putting them into an overarching physical context of coarse-graining over an increasing diffusion length scale. From this perspective, we view research on…

Biological Physics · Physics 2018-04-20 Dmitry S. Novikov , Els Fieremans , Sune N. Jespersen , Valerij G. Kiselev

In astrophysics, turbulent diffusion is often used in place of microphysical diffusion to avoid resolving the small scales. However, we expect this approach to break down when time and length scales of the turbulence become comparable with…

Solar and Stellar Astrophysics · Physics 2014-09-05 M. S. Väisälä , A. Brandenburg , Dhrubaditya Mitra , P. J. Käpylä , M. J. Mantere

Diffusion models have recently shown remarkable results in magnetic resonance imaging reconstruction. However, the employed networks typically are black-box estimators of the (smoothed) prior score with tens of millions of parameters,…

Image and Video Processing · Electrical Eng. & Systems 2025-01-16 Laurenz Nagler , Martin Zach , Thomas Pock

Deep learning has shown the capability to substantially accelerate MRI reconstruction while acquiring fewer measurements. Recently, diffusion models have gained burgeoning interests as a novel group of deep learning-based generative…

Image and Video Processing · Electrical Eng. & Systems 2023-06-27 Jiahao Huang , Angelica Aviles-Rivero , Carola-Bibiane Schönlieb , Guang Yang

Diffusion magnetic resonance imaging (dMRI) is an important tool in characterizing tissue microstructure based on biophysical models, which are complex and highly non-linear. Resolving microstructures with optimization techniques is prone…

Signal Processing · Electrical Eng. & Systems 2022-05-16 Tianshu Zheng , Cong Sun , Weihao Zheng , Wen Shi , Haotian Li , Yi Sun , Yi Zhang , Guangbin Wang , Chuyang Ye , Dan Wu

Many developmental processes, such as plasticity and aging, or pathological processes such as neurological diseases are characterized by modulations of specific cellular types and their microstructures. Diffusion-weighted Magnetic Resonance…

Medical Physics · Physics 2019-03-26 Marco Palombo , Noam Shemesh , Itamar Ronen , Julien Valette

Understanding diffusion in microstructures plays a crucial role in many scientific fields, including neuroscience, cancer or energy research. While magnetic resonance (MR) methods are the gold standard for diffusion measurements, spatial…

Magnetic resonance imaging (MRI) is a vital diagnostic tool, but its inherently long acquisition times reduce clinical efficiency and patient comfort. Recent advancements in deep learning, particularly diffusion models, have improved…

Image and Video Processing · Electrical Eng. & Systems 2026-04-28 Yuxuan Zhang , Jinkui Hao , Bo Zhou

The statistical analysis of covariance matrices occurs in many important applications, e.g. in diffusion tensor imaging and longitudinal data analysis. We consider the situation where it is of interest to estimate an average covariance…

Methodology · Statistics 2010-10-20 Ian L. Dryden , Alexey Kolydenko , Diwei Zhou , Bai Li
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