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Biophysical modeling of diffusion MRI (dMRI) offers the exciting potential of bridging the gap between the macroscopic MRI resolution and microscopic cellular features, effectively turning the MRI scanner into a noninvasive in vivo…

This paper proposes a multi-channel image reconstruction method, named DeepcomplexMRI, to accelerate parallel MR imaging with residual complex convolutional neural network. Different from most existing works which rely on the utilization of…

Image and Video Processing · Electrical Eng. & Systems 2019-07-30 Shanshan Wang , Huitao Cheng , Leslie Ying , Taohui Xiao , Ziwen Ke , Xin Liu , Hairong Zheng , Dong Liang

In this paper, we utilize hyperspheres and regular $n$-simplexes and propose an approach to learning deep features equivariant under the transformations of $n$D reflections and rotations, encompassed by the powerful group of O$(n)$. Namely,…

Machine Learning · Computer Science 2024-05-31 Pavlo Melnyk , Michael Felsberg , Mårten Wadenbäck , Andreas Robinson , Cuong Le

Spherical equivariant graph neural networks (EGNNs) provide a principled framework for learning on three-dimensional molecular and biomolecular systems, where predictions must respect the rotational symmetries inherent in physics. These…

Machine Learning · Computer Science 2025-12-17 Sophia Tang

Magnetic resonance imaging (MRI) super-resolution (SR) methods that computationally enhance low-resolution acquisitions to approximate high-resolution quality offer a compelling alternative to expensive high-field scanners. In this work we…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Hendrik Chiche , Ludovic Corcos , Logan Rouge

This work investigates use of equivariant neural networks as efficient and high-performance frameworks for image reconstruction and denoising in nuclear medicine. Our work aims to tackle limitations of conventional Convolutional Neural…

Image and Video Processing · Electrical Eng. & Systems 2025-02-03 Amirreza Hashemi , Yuemeng Feng , Arman Rahmim , Hamid Sabet

Regular group convolutional neural networks (G-CNNs) have been shown to increase model performance and improve equivariance to different geometrical symmetries. This work addresses the problem of SE(3), i.e., roto-translation equivariance,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-21 Thijs P. Kuipers , Erik J. Bekkers

Filter-decomposition-based group equivariant convolutional neural networks (CNNs) have shown promising stability and data efficiency for 3D image feature extraction. However, these networks, which rely on parameter sharing and discrete…

Computer Vision and Pattern Recognition · Computer Science 2026-01-08 Wenzhao Zhao , Steffen Albert , Barbara D. Wichtmann , Angelika Maurer , Ulrike Attenberger , Frank G. Zöllner , Jürgen Hesser

Diffusion MRI (dMRI) is sensitive to microstructural barriers, yet most existing methods either assume impermeable boundaries or estimate voxel-level parameters without recovering explicit interfaces. We present Spinverse, a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Prathamesh Pradeep Khole , Mario M. Brenes , Zahra Kais Petiwala , Ehsan Mirafzali , Utkarsh Gupta , Jing-Rebecca Li , Andrada Ianus , Razvan Marinescu

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-weighted magnetic resonance imaging (DW-MRI) allows for non-invasive imaging of the local fiber architecture of the human brain at a millimetric scale. Multiple classical approaches have been proposed to detect both single (e.g.,…

Connectivity information derived from diffusion-weighted magnetic resonance images~(DW-MRIs) plays an important role in studying human subcortical gray matter structures. However, due to the $O(N^2)$ complexity of computing the connectivity…

Image and Video Processing · Electrical Eng. & Systems 2023-02-21 Zhangxing Bian , Muhan Shao , Jiachen Zhuo , Rao P. Gullapalli , Aaron Carass , Jerry L. Prince

Convolutional neural networks (CNNs) constructed natively on the sphere have been developed recently and shown to be highly effective for the analysis of spherical data. While an efficient framework has been formulated, spherical CNNs are…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Jason D. McEwen , Christopher G. R. Wallis , Augustine N. Mavor-Parker

High resolution diffusion MRI (dMRI) data is often constrained by limited scanning time in clinical settings, thus restricting the use of downstream analysis techniques that would otherwise be available. In this work we develop a 3D…

Image and Video Processing · Electrical Eng. & Systems 2022-03-30 Matthew Lyon , Paul Armitage , Mauricio A. Álvarez

Accurate MR signal simulation, including microvascular structures and water diffusion, is crucial for MRI techniques like fMRI BOLD modeling and MR vascular Fingerprinting (MRF), which use susceptibility effects on MR signals for tissue…

Axons in white matter have been shown to have varying geometries within a bundle using ex vivo imaging techniques, but what does this mean for diffusion MRI (dMRI) based spherical deconvolution (SD)? SD attempts to estimate the fibre…

Medical Physics · Physics 2022-03-04 Ross Callaghan , Daniel C. Alexander , Marco Palombo , Hui Zhang

Constrained Spherical Deconvolution (CSD) is widely used to estimate the white matter fiber orientation distribution (FOD) from diffusion MRI data. Its angular resolution depends on the maximum spherical harmonic order ($l_{max}$): low…

Deep learning-based hyperspectral image super-resolution (SR) methods have achieved great success recently. However, most existing models can not effectively explore spatial information and spectral information between bands simultaneously,…

Computer Vision and Pattern Recognition · Computer Science 2020-01-15 Qi Wang , Qiang Li , Xuelong Li

Nonrigid registration is vital to medical image analysis but remains challenging for diffusion MRI (dMRI) due to its high-dimensional, orientation-dependent nature. While classical methods are accurate, they are computationally demanding,…

Image and Video Processing · Electrical Eng. & Systems 2025-01-13 Gianfranco Cortes , Xiaoda Qu , Baba C. Vemuri

The understanding of neurodegenerative diseases undoubtedly passes through the study of human brain white matter fiber tracts. To date, diffusion magnetic resonance imaging (dMRI) is the unique technique to obtain information about the…

Machine Learning · Computer Science 2012-07-04 Romain Giot , Christophe Charrier , Maxime Descoteaux