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Objective: Most deep neural network-based diffusion tensor imaging methods require the diffusion gradients' number and directions in the data to be reconstructed to match those in the training data. This work aims to develop and evaluate a…

Image and Video Processing · Electrical Eng. & Systems 2023-12-22 Zejun Wu , Jiechao Wang , Zunquan Chen , Qinqin Yang , Zhen Xing , Dairong Cao , Jianfeng Bao , Taishan Kang , Jianzhong Lin , Shuhui Cai , Zhong Chen , Congbo Cai

Tensor cross interpolation (TCI) is a powerful technique for learning a tensor train (TT) by adaptively sampling a target tensor based on an interpolation formula. However, when the tensor evaluations contain random noise, optimizing the TT…

Quantum Physics · Physics 2025-08-15 Kohtaroh Sakaue , Hiroshi Shinaoka , Rihito Sakurai

Coherent diffractive imaging has enabled the structural analysis of individual free nanoparticles in a single shot and offers the tracking of their light induced dynamics with unprecedented spatial and temporal resolution. The retrieval of…

Optics · Physics 2020-05-07 Björn Kruse , Benjamin Liewehr , Christian Peltz , Thomas Fennel

We present a procedure for recovering the conformal factor of an anisotropic conductivity matrix in a known conformal class in a domain in Euclidean space of dimension greater than or equal to 2. The method requires one internal…

Analysis of PDEs · Mathematics 2013-03-01 Nicholas Hoell , Amir Moradifam , Adrian Nachman

Recently, a new form of magnetic resonance imaging (MRI) called synthetic correlated diffusion (CDI$^s$) imaging was introduced and showed considerable promise for clinical decision support for cancers such as prostate cancer when compared…

Image and Video Processing · Electrical Eng. & Systems 2023-04-13 Chi-en Amy Tai , Hayden Gunraj , Alexander Wong

Breast cancer is the second most common type of cancer in women in Canada and the United States, representing over 25\% of all new female cancer cases. As such, there has been immense research and progress on improving screening and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-07 Chi-en Amy Tai , Hayden Gunraj , Nedim Hodzic , Nic Flanagan , Ali Sabri , Alexander Wong

Computational ultrasound imaging (cUSi) with few elements and spatial field encoding can provide high-resolution volumetric B-mode imaging. In this work, we extend its application to 4D carotid artery (CA) flow imaging using a custom…

Current deep learning approaches for prostate cancer lesion segmentation achieve limited performance, with Dice scores of 0.32 or lower in large patient cohorts. To address this limitation, we investigate synthetic correlated diffusion…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Jarett Dewbury , Chi-en Amy Tai , Alexander Wong

Infarcted brain tissue resulting from acute stroke readily shows up as hyperintense regions within diffusion-weighted magnetic resonance imaging (DWI). It has also been proposed that computed tomography perfusion (CTP) could alternatively…

Image and Video Processing · Electrical Eng. & Systems 2019-05-01 Jonathan Rubin , S. Mazdak Abulnaga

Diffusion-weighted magnetic resonance imaging (DW-MRI) derived scalar maps are effective for assessing neurodegenerative diseases and microstructural properties of white matter in large number of brain conditions. However, DW-MRI inherently…

Computer Vision and Pattern Recognition · Computer Science 2025-11-10 Gabriel Girard , Manon Edde , Félix Dumais , Yoan David , Matthieu Dumont , Guillaume Theaud , Jean-Christophe Houde , Arnaud Boré , Maxime Descoteaux , Pierre-Marc Jodoin

Let $v$ be a vector field in a bounded open set $G\subset {\mathbb {R}}^d$. Suppose that $v$ is observed with a random noise at random points $X_i, i=1,...,n,$ that are independent and uniformly distributed in $G.$ The problem is to…

Statistics Theory · Mathematics 2009-09-29 Vladimir Koltchinskii , Lyudmila Sakhanenko , Songhe Cai

Diffusion magnetic resonance imaging (dMRI) is an emerging medical technique used for describing water diffusion in an organic tissue. Typically, rank-2 tensors quantify this diffusion. From this quantification, it is possible to calculate…

Computer Vision and Pattern Recognition · Computer Science 2016-06-28 Hernan Dario Vargas Cardona , Mauricio A. Alvarez , Alvaro A. Orozco

We develop a curvilinear invariant set of the diffusion tensor which may be applied to Diffusion Tensor Imaging measurements on tissues and porous media. This new set is an alternative to the more common invariants such as fractional…

Biological Physics · Physics 2014-01-03 Robin A. Damion , Aleksandra Radjenovic , Eileen Ingham , Zhongmin Jin , Michael E. Ries

High-contrast imaging relies on advanced coronagraphs and adaptive optics (AO) to attenuate the starlight. However, residual aberrations, especially non-common path aberrations between the AO channel and the coronagraph channel, limit the…

Instrumentation and Methods for Astrophysics · Physics 2025-11-11 Axel Potier , Raphaël Galicher , Pierre Baudoz , Johan Mazoyer , Zahed Wahhaj , Ruben Tandon , Jonas G. Kühn , Laura Perez , Gael Chauvin

Two-dimensional topological insulators, characterized by symmetry-protected anomalous boundary modes, have been generalized to the strongly correlated regime for both bosonic and fermionic systems. As correlated topological insulators (TI)…

Strongly Correlated Electrons · Physics 2025-11-18 Yixin Ma , Chao Xu , Shenghan Jiang

T2-weighted magnetic resonance imaging (MRI) and diffusion-weighted imaging (DWI) are essential components for cervical cancer diagnosis. However, combining these channels for training deep learning models are challenging due to…

Image and Video Processing · Electrical Eng. & Systems 2023-06-21 Reza Kalantar , Sebastian Curcean , Jessica M Winfield , Gigin Lin , Christina Messiou , Matthew D Blackledge , Dow-Mu Koh

Multi-contrast magnetic resonance imaging (MRI) is the most common management tool used to characterize neurological disorders based on brain tissue contrasts. However, acquiring high-resolution MRI scans is time-consuming and infeasible…

Image and Video Processing · Electrical Eng. & Systems 2023-06-08 Ye Mao , Lan Jiang , Xi Chen , Chao Li

The brain white matter consists of a set of tracts that connect distinct regions of the brain. Segmentation of these tracts is often needed for clinical and research studies. Diffusion-weighted MRI offers unique contrast to delineate these…

Image and Video Processing · Electrical Eng. & Systems 2023-07-06 Hamza Kebiri , Ali Gholipour , Meritxell Bach Cuadra , Davood Karimi

We propose Microscopic Propagator Imaging (MPI) as a novel method to retrieve the indices of the microscopic propagator which is the probability density function of water displacements due to diffusion within the nervous tissue…

Neurons and Cognition · Quantitative Biology 2025-03-03 Tommaso Zajac , Gloria Menegaz , Marco Pizzolato

Hyperspectral super-resolution refers to the problem of fusing a hyperspectral image (HSI) and a multispectral image (MSI) to produce a super-resolution image (SRI) that has fine spatial and spectral resolution. State-of-the-art methods…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Charilaos I. Kanatsoulis , Xiao Fu , Nicholas D. Sidiropoulos , Wing-Kin Ma
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