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Tractography algorithms are used extensively to delineate white matter structures, by operating on the voxel-wise information generated through the application of diffusion tensor imaging (DTI) or other models to diffusion weighted (DW)…

Quantitative Methods · Quantitative Biology 2024-03-05 Richard G. Carson , Alexander Leemans

We characterize the geometry and topology of the set of all weight vectors for which a linear neural network computes the same linear transformation $W$. This set of weight vectors is called the fiber of $W$ (under the matrix multiplication…

Machine Learning · Computer Science 2024-04-24 Jonathan Richard Shewchuk , Sagnik Bhattacharya

Doctors and researchers routinely use diffusion tensor imaging (DTI) and tractography to visualize the fibrous structure of tissues in the human body. This paper explores the connection of these techniques to the painterly rendering of…

Graphics · Computer Science 2025-11-04 Alberto Di Biase

In this paper, we propose a novel deep learning architecture combining stacked Bi-directional LSTM and LSTMs with the Siamese network architecture for segmentation of brain fibers, obtained from tractography data, into anatomically…

Computer Vision and Pattern Recognition · Computer Science 2017-12-29 Shreyas Malakarjun Patil , Aditya Nigam , Arnav Bhavsar , Chiranjoy Chattopadhyay

Whole-brain tractography in diffusion MRI is often followed by a parcellation in which each streamline is classified as belonging to a specific white matter bundle, or discarded as a false positive. Efficient parcellation is important both…

Image and Video Processing · Electrical Eng. & Systems 2025-03-11 Valentin von Bornhaupt , Johannes Grün , and Justus Bisten , Tobias Bauer , Theodor Rüber , Thomas Schultz

Diffusion-weighted MRI is increasingly used to study the normal and abnormal development of fetal brain in-utero. Recent studies have shown that dMRI can offer invaluable insights into the neurodevelopmental processes in the fetal stage.…

Tractography fiber clustering using diffusion MRI (dMRI) is a crucial strategy for white matter (WM) parcellation. Current methods primarily use the geometric information of fibers (i.e., the spatial trajectories) to group similar fibers…

Image and Video Processing · Electrical Eng. & Systems 2024-12-17 Jin Wang , Bocheng Guo , Yijie Li , Junyi Wang , Yuqian Chen , Jarrett Rushmore , Nikos Makris , Yogesh Rathi , Lauren J O'Donnell , Fan Zhang

To accurately analyze changes of anatomical structures in longitudinal imaging studies, consistent segmentation across multiple time-points is required. Existing solutions often involve independent registration and segmentation components.…

Image and Video Processing · Electrical Eng. & Systems 2019-08-28 Bo Li , Wiro Niessen , Stefan Klein , Marius de Groot , Arfan Ikram , Meike Vernooij , Esther Bron

Novel brain biomarkers of obesity were sought by studying statistical measurements on fractional anisotropy (FA) images of different white matter (WM) tracts from subjects with specific demographic characteristics. Tract measurements were…

Shape measures have emerged as promising descriptors of white matter tractography, offering complementary insights into anatomical variability and associations with cognitive and clinical phenotypes. However, conventional methods for…

Image and Video Processing · Electrical Eng. & Systems 2025-10-22 Yui Lo , Yuqian Chen , Dongnan Liu , Leo Zekelman , Jarrett Rushmore , Yogesh Rathi , Nikos Makris , Alexandra J. Golby , Fan Zhang , Weidong Cai , Lauren J. O'Donnell

We present a new multiscale algorithm for solving regularized Optimal Transport problems on the GPU, with a linear memory footprint. Relying on Sinkhorn divergences which are convex, smooth and positive definite loss functions, this method…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Jean Feydy , Pierre Roussillon , Alain Trouvé , Pietro Gori

Superficial white matter (SWM) has been less studied than long-range connections despite being of interest to clinical research, andfew tractography parcellation methods have been adapted to SWM. Here, we propose an efficient geometry-based…

Image and Video Processing · Electrical Eng. & Systems 2023-03-03 Nabil Vindas , Nicole Labra Avila , Fan Zhang , Tengfei Xue , Lauren J. O'Donnell , Jean-François Mangin

In this paper, we introduce complex functional maps, which extend the functional map framework to conformal maps between tangent vector fields on surfaces. A key property of these maps is their orientation awareness. More specifically, we…

Computer Vision and Pattern Recognition · Computer Science 2021-12-20 Nicolas Donati , Etienne Corman , Simone Melzi , Maks Ovsjanikov

Neuromorphology is crucial to identifying neuronal subtypes and understanding learning. It is also implicated in neurological disease. However, standard morphological analysis focuses on macroscopic features such as branching frequency and…

Neurons and Cognition · Quantitative Biology 2022-03-10 Thomas L. Athey , Jacopo Teneggi , Joshua T. Vogelstein , Daniel Tward , Ulrich Mueller , Michael I. Miller

Addressing the question of visualising human mind could help us to find regions that are associated with observed cognition and responsible for expressing the elusive mental image, leading to a better understanding of cognitive function.…

Neurons and Cognition · Quantitative Biology 2021-02-11 Pan Wang , Rui Zhou , Shuo Wang , Ling Li , Wenjia Bai , Jialu Fan , Chunlin Li , Peter Childs , Yike Guo

Brain decoding is a data analysis paradigm for neuroimaging experiments that is based on predicting the stimulus presented to the subject from the concurrent brain activity. In order to make inference at the group level, a straightforward…

Machine Learning · Statistics 2014-04-17 Emanuele Olivetti , Seyed Mostafa Kia , Paolo Avesani

More children and adults under the age of 40 die of brain tumor than from any other cancer. Brain surgery constitutes the first and decisive step for the treatment of such tumors. It is extremely crucial to achieve complete tumor resection…

We present a rotation-equivariant unsupervised learning framework for the sparse deconvolution of non-negative scalar fields defined on the unit sphere. Spherical signals with multiple peaks naturally arise in Diffusion MRI (dMRI), where…

Image and Video Processing · Electrical Eng. & Systems 2021-02-19 Axel Elaldi , Neel Dey , Heejong Kim , Guido Gerig

A review of the parallel transport (translation) in fibre bundles is presented. The connections between transports along paths and parallel transports in fibre bundles are examined. It is proved that the latter ones are special cases of the…

Differential Geometry · Mathematics 2007-05-23 Bozhidar Z. Iliev

Diffusion Magnetic Resonance Imaging (MRI) exploits the anisotropic diffusion of water molecules in the brain to enable the estimation of the brain's anatomical fiber tracts at a relatively high resolution. In particular, tractographic…

Computational Engineering, Finance, and Science · Computer Science 2016-09-14 Yu Jin , Joseph F. JaJa , Rong Chen , Edward H. Herskovits
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